diff --git a/config_src/drivers/FMS_cap/MOM_surface_forcing_gfdl.F90 b/config_src/drivers/FMS_cap/MOM_surface_forcing_gfdl.F90 index 1e56486329..97d3742749 100644 --- a/config_src/drivers/FMS_cap/MOM_surface_forcing_gfdl.F90 +++ b/config_src/drivers/FMS_cap/MOM_surface_forcing_gfdl.F90 @@ -1088,10 +1088,10 @@ subroutine extract_IOB_stresses(IOB, index_bounds, Time, G, US, CS, taux, tauy, tau_mag = 0.0 ; gustiness = CS%gust_const if (((G%mask2dBu(I,J) + G%mask2dBu(I-1,J-1)) + & (G%mask2dBu(I,J-1) + G%mask2dBu(I-1,J))) > 0.0) then - tau_mag = sqrt(((G%mask2dBu(I,J)*(taux_in_B(I,J)**2 + tauy_in_B(I,J)**2) + & - G%mask2dBu(I-1,J-1)*(taux_in_B(I-1,J-1)**2 + tauy_in_B(I-1,J-1)**2)) + & - (G%mask2dBu(I,J-1)*(taux_in_B(I,J-1)**2 + tauy_in_B(I,J-1)**2) + & - G%mask2dBu(I-1,J)*(taux_in_B(I-1,J)**2 + tauy_in_B(I-1,J)**2)) ) / & + tau_mag = sqrt(((G%mask2dBu(I,J)*((taux_in_B(I,J)**2) + (tauy_in_B(I,J)**2)) + & + G%mask2dBu(I-1,J-1)*((taux_in_B(I-1,J-1)**2) + (tauy_in_B(I-1,J-1)**2))) + & + (G%mask2dBu(I,J-1)*((taux_in_B(I,J-1)**2) + (tauy_in_B(I,J-1)**2)) + & + G%mask2dBu(I-1,J)*((taux_in_B(I-1,J)**2) + (tauy_in_B(I-1,J)**2))) ) / & ((G%mask2dBu(I,J) + G%mask2dBu(I-1,J-1)) + (G%mask2dBu(I,J-1) + G%mask2dBu(I-1,J))) ) if (CS%read_gust_2d) gustiness = CS%gust(i,j) endif @@ -1105,7 +1105,7 @@ subroutine extract_IOB_stresses(IOB, index_bounds, Time, G, US, CS, taux, tauy, enddo ; enddo elseif (wind_stagger == AGRID) then do j=js,je ; do i=is,ie - tau_mag = G%mask2dT(i,j) * sqrt(taux_in_A(i,j)**2 + tauy_in_A(i,j)**2) + tau_mag = G%mask2dT(i,j) * sqrt((taux_in_A(i,j)**2) + (tauy_in_A(i,j)**2)) gustiness = CS%gust_const if (CS%read_gust_2d .and. (G%mask2dT(i,j) > 0.0)) gustiness = CS%gust(i,j) if (do_ustar) ustar(i,j) = sqrt(gustiness*IRho0 + IRho0 * tau_mag) @@ -1120,10 +1120,10 @@ subroutine extract_IOB_stresses(IOB, index_bounds, Time, G, US, CS, taux, tauy, do j=js,je ; do i=is,ie taux2 = 0.0 ; tauy2 = 0.0 if ((G%mask2dCu(I-1,j) + G%mask2dCu(I,j)) > 0.0) & - taux2 = (G%mask2dCu(I-1,j)*taux_in_C(I-1,j)**2 + G%mask2dCu(I,j)*taux_in_C(I,j)**2) / & + taux2 = (G%mask2dCu(I-1,j)*(taux_in_C(I-1,j)**2) + G%mask2dCu(I,j)*(taux_in_C(I,j)**2)) / & (G%mask2dCu(I-1,j) + G%mask2dCu(I,j)) if ((G%mask2dCv(i,J-1) + G%mask2dCv(i,J)) > 0.0) & - tauy2 = (G%mask2dCv(i,J-1)*tauy_in_C(i,J-1)**2 + G%mask2dCv(i,J)*tauy_in_C(i,J)**2) / & + tauy2 = (G%mask2dCv(i,J-1)*(tauy_in_C(i,J-1)**2) + G%mask2dCv(i,J)*(tauy_in_C(i,J)**2)) / & (G%mask2dCv(i,J-1) + G%mask2dCv(i,J)) tau_mag = sqrt(taux2 + tauy2) diff --git a/config_src/drivers/STALE_mct_cap/mom_surface_forcing_mct.F90 b/config_src/drivers/STALE_mct_cap/mom_surface_forcing_mct.F90 index bb57810f5b..720046d517 100644 --- a/config_src/drivers/STALE_mct_cap/mom_surface_forcing_mct.F90 +++ b/config_src/drivers/STALE_mct_cap/mom_surface_forcing_mct.F90 @@ -767,10 +767,10 @@ subroutine convert_IOB_to_forces(IOB, forces, index_bounds, Time, G, US, CS) tau_mag = 0.0 ; gustiness = CS%gust_const if (((G%mask2dBu(I,J) + G%mask2dBu(I-1,J-1)) + & (G%mask2dBu(I,J-1) + G%mask2dBu(I-1,J))) > 0.0) then - tau_mag = sqrt(((G%mask2dBu(I,J)*(taux_at_q(I,J)**2 + tauy_at_q(I,J)**2) + & - G%mask2dBu(I-1,J-1)*(taux_at_q(I-1,J-1)**2 + tauy_at_q(I-1,J-1)**2)) + & - (G%mask2dBu(I,J-1)*(taux_at_q(I,J-1)**2 + tauy_at_q(I,J-1)**2) + & - G%mask2dBu(I-1,J)*(taux_at_q(I-1,J)**2 + tauy_at_q(I-1,J)**2)) ) / & + tau_mag = sqrt(((G%mask2dBu(I,J)*((taux_at_q(I,J)**2) + (tauy_at_q(I,J)**2)) + & + G%mask2dBu(I-1,J-1)*((taux_at_q(I-1,J-1)**2) + (tauy_at_q(I-1,J-1)**2))) + & + (G%mask2dBu(I,J-1)*((taux_at_q(I,J-1)**2) + (tauy_at_q(I,J-1)**2)) + & + G%mask2dBu(I-1,J)*((taux_at_q(I-1,J)**2) + (tauy_at_q(I-1,J)**2))) ) / & ((G%mask2dBu(I,J) + G%mask2dBu(I-1,J-1)) + (G%mask2dBu(I,J-1) + G%mask2dBu(I-1,J))) ) if (CS%read_gust_2d) gustiness = CS%gust(i,j) endif @@ -800,9 +800,9 @@ subroutine convert_IOB_to_forces(IOB, forces, index_bounds, Time, G, US, CS) do j=js,je ; do i=is,ie gustiness = CS%gust_const if (CS%read_gust_2d .and. (G%mask2dT(i,j) > 0.0)) gustiness = CS%gust(i,j) - forces%tau_mag(i,j) = gustiness + G%mask2dT(i,j) * sqrt(taux_at_h(i,j)**2 + tauy_at_h(i,j)**2) + forces%tau_mag(i,j) = gustiness + G%mask2dT(i,j) * sqrt((taux_at_h(i,j)**2) + (tauy_at_h(i,j)**2)) forces%ustar(i,j) = sqrt(gustiness*Irho0 + Irho0 * G%mask2dT(i,j) * & - sqrt(taux_at_h(i,j)**2 + tauy_at_h(i,j)**2)) + sqrt((taux_at_h(i,j)**2) + (tauy_at_h(i,j)**2))) enddo ; enddo else ! C-grid wind stresses. @@ -813,13 +813,13 @@ subroutine convert_IOB_to_forces(IOB, forces, index_bounds, Time, G, US, CS) do j=js,je ; do i=is,ie taux2 = 0.0 if ((G%mask2dCu(I-1,j) + G%mask2dCu(I,j)) > 0.0) & - taux2 = (G%mask2dCu(I-1,j)*forces%taux(I-1,j)**2 + & - G%mask2dCu(I,j)*forces%taux(I,j)**2) / (G%mask2dCu(I-1,j) + G%mask2dCu(I,j)) + taux2 = (G%mask2dCu(I-1,j)*(forces%taux(I-1,j)**2) + & + G%mask2dCu(I,j)*(forces%taux(I,j)**2)) / (G%mask2dCu(I-1,j) + G%mask2dCu(I,j)) tauy2 = 0.0 if ((G%mask2dCv(i,J-1) + G%mask2dCv(i,J)) > 0.0) & - tauy2 = (G%mask2dCv(i,J-1)*forces%tauy(i,J-1)**2 + & - G%mask2dCv(i,J)*forces%tauy(i,J)**2) / (G%mask2dCv(i,J-1) + G%mask2dCv(i,J)) + tauy2 = (G%mask2dCv(i,J-1)*(forces%tauy(i,J-1)**2) + & + G%mask2dCv(i,J)*(forces%tauy(i,J)**2)) / (G%mask2dCv(i,J-1) + G%mask2dCv(i,J)) if (CS%read_gust_2d) then forces%tau_mag(i,j) = CS%gust(i,j) + sqrt(taux2 + tauy2) diff --git a/config_src/drivers/nuopc_cap/mom_surface_forcing_nuopc.F90 b/config_src/drivers/nuopc_cap/mom_surface_forcing_nuopc.F90 index e7d6c9abc6..5d09c58917 100644 --- a/config_src/drivers/nuopc_cap/mom_surface_forcing_nuopc.F90 +++ b/config_src/drivers/nuopc_cap/mom_surface_forcing_nuopc.F90 @@ -829,10 +829,10 @@ subroutine convert_IOB_to_forces(IOB, forces, index_bounds, Time, G, US, CS) tau_mag = 0.0 ; gustiness = CS%gust_const if (((G%mask2dBu(I,J) + G%mask2dBu(I-1,J-1)) + & (G%mask2dBu(I,J-1) + G%mask2dBu(I-1,J))) > 0.0) then - tau_mag = sqrt(((G%mask2dBu(I,J)*(taux_at_q(I,J)**2 + tauy_at_q(I,J)**2) + & - G%mask2dBu(I-1,J-1)*(taux_at_q(I-1,J-1)**2 + tauy_at_q(I-1,J-1)**2)) + & - (G%mask2dBu(I,J-1)*(taux_at_q(I,J-1)**2 + tauy_at_q(I,J-1)**2) + & - G%mask2dBu(I-1,J)*(taux_at_q(I-1,J)**2 + tauy_at_q(I-1,J)**2)) ) / & + tau_mag = sqrt(((G%mask2dBu(I,J)*((taux_at_q(I,J)**2) + (tauy_at_q(I,J)**2)) + & + G%mask2dBu(I-1,J-1)*((taux_at_q(I-1,J-1)**2) + (tauy_at_q(I-1,J-1)**2))) + & + (G%mask2dBu(I,J-1)*((taux_at_q(I,J-1)**2) + (tauy_at_q(I,J-1)**2)) + & + G%mask2dBu(I-1,J)*((taux_at_q(I-1,J)**2) + (tauy_at_q(I-1,J)**2))) ) / & ((G%mask2dBu(I,J) + G%mask2dBu(I-1,J-1)) + (G%mask2dBu(I,J-1) + G%mask2dBu(I-1,J))) ) if (CS%read_gust_2d) gustiness = CS%gust(i,j) endif @@ -862,9 +862,9 @@ subroutine convert_IOB_to_forces(IOB, forces, index_bounds, Time, G, US, CS) do j=js,je ; do i=is,ie gustiness = CS%gust_const if (CS%read_gust_2d .and. (G%mask2dT(i,j) > 0.0)) gustiness = CS%gust(i,j) - forces%tau_mag(i,j) = gustiness + G%mask2dT(i,j) * sqrt(taux_at_h(i,j)**2 + tauy_at_h(i,j)**2) + forces%tau_mag(i,j) = gustiness + G%mask2dT(i,j) * sqrt((taux_at_h(i,j)**2) + (tauy_at_h(i,j)**2)) forces%ustar(i,j) = sqrt(gustiness*Irho0 + Irho0 * G%mask2dT(i,j) * & - sqrt(taux_at_h(i,j)**2 + tauy_at_h(i,j)**2)) + sqrt((taux_at_h(i,j)**2) + (tauy_at_h(i,j)**2))) !forces%omega_w2x(i,j) = atan(tauy_at_h(i,j), taux_at_h(i,j)) enddo ; enddo call pass_vector(forces%taux, forces%tauy, G%Domain, halo=1) @@ -876,13 +876,13 @@ subroutine convert_IOB_to_forces(IOB, forces, index_bounds, Time, G, US, CS) do j=js,je ; do i=is,ie taux2 = 0.0 if ((G%mask2dCu(I-1,j) + G%mask2dCu(I,j)) > 0.0) & - taux2 = (G%mask2dCu(I-1,j)*forces%taux(I-1,j)**2 + & - G%mask2dCu(I,j)*forces%taux(I,j)**2) / (G%mask2dCu(I-1,j) + G%mask2dCu(I,j)) + taux2 = (G%mask2dCu(I-1,j)*(forces%taux(I-1,j)**2) + & + G%mask2dCu(I,j)*(forces%taux(I,j)**2)) / (G%mask2dCu(I-1,j) + G%mask2dCu(I,j)) tauy2 = 0.0 if ((G%mask2dCv(i,J-1) + G%mask2dCv(i,J)) > 0.0) & - tauy2 = (G%mask2dCv(i,J-1)*forces%tauy(i,J-1)**2 + & - G%mask2dCv(i,J)*forces%tauy(i,J)**2) / (G%mask2dCv(i,J-1) + G%mask2dCv(i,J)) + tauy2 = (G%mask2dCv(i,J-1)*(forces%tauy(i,J-1)**2) + & + G%mask2dCv(i,J)*(forces%tauy(i,J)**2)) / (G%mask2dCv(i,J-1) + G%mask2dCv(i,J)) if (CS%read_gust_2d) then forces%tau_mag(i,j) = CS%gust(i,j) + sqrt(taux2 + tauy2) diff --git a/config_src/drivers/solo_driver/MOM_surface_forcing.F90 b/config_src/drivers/solo_driver/MOM_surface_forcing.F90 index 3de43eec85..b2d92c00e7 100644 --- a/config_src/drivers/solo_driver/MOM_surface_forcing.F90 +++ b/config_src/drivers/solo_driver/MOM_surface_forcing.F90 @@ -533,13 +533,13 @@ subroutine wind_forcing_gyres(sfc_state, forces, day, G, US, CS) ! set the friction velocity if (CS%answer_date < 20190101) then if (associated(forces%tau_mag)) then ; do j=js,je ; do i=is,ie - forces%tau_mag(i,j) = CS%gust_const + sqrt(0.5*((forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2) + & - (forces%taux(I-1,j)**2 + forces%taux(I,j)**2))) + forces%tau_mag(i,j) = CS%gust_const + sqrt(0.5*(((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)) + & + ((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)))) enddo ; enddo ; endif if (associated(forces%ustar)) then ; do j=js,je ; do i=is,ie forces%ustar(i,j) = sqrt(US%L_to_Z * ((CS%gust_const/CS%Rho0) + & - sqrt(0.5*(forces%tauy(i,J-1)*forces%tauy(i,J-1) + forces%tauy(i,J)*forces%tauy(i,J) + & - forces%taux(I-1,j)*forces%taux(I-1,j) + forces%taux(I,j)*forces%taux(I,j)))/CS%Rho0) ) + sqrt(0.5*((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2) + & + (forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)))/CS%Rho0) ) enddo ; enddo ; endif else call stresses_to_ustar(forces, G, US, CS) @@ -743,19 +743,19 @@ subroutine wind_forcing_from_file(sfc_state, forces, day, G, US, CS) if (.not.read_Ustar) then if (CS%read_gust_2d) then if (associated(forces%tau_mag)) then ; do j=js,je ; do i=is,ie - forces%tau_mag(i,j) = CS%gust(i,j) + sqrt(temp_x(i,j)**2 + temp_y(i,j)**2) + forces%tau_mag(i,j) = CS%gust(i,j) + sqrt((temp_x(i,j)**2) + (temp_y(i,j)**2)) enddo ; enddo ; endif if (associated(forces%ustar)) then ; do j=js,je ; do i=is,ie - tau_mag = CS%gust(i,j) + sqrt(temp_x(i,j)**2 + temp_y(i,j)**2) + tau_mag = CS%gust(i,j) + sqrt((temp_x(i,j)**2) + (temp_y(i,j)**2)) forces%ustar(i,j) = sqrt(tau_mag * US%L_to_Z / CS%Rho0) enddo ; enddo ; endif else if (associated(forces%tau_mag)) then ; do j=js,je ; do i=is,ie - forces%tau_mag(i,j) = CS%gust_const + sqrt(temp_x(i,j)**2 + temp_y(i,j)**2) + forces%tau_mag(i,j) = CS%gust_const + sqrt((temp_x(i,j)**2) + (temp_y(i,j)**2)) enddo ; enddo ; endif if (associated(forces%ustar)) then ; do j=js,je ; do i=is,ie forces%ustar(i,j) = sqrt(US%L_to_Z * (CS%gust_const/CS%Rho0 + & - sqrt(temp_x(i,j)*temp_x(i,j) + temp_y(i,j)*temp_y(i,j)) / CS%Rho0) ) + sqrt((temp_x(i,j)**2) + (temp_y(i,j)**2)) / CS%Rho0) ) enddo ; enddo ; endif endif endif @@ -797,25 +797,25 @@ subroutine wind_forcing_from_file(sfc_state, forces, day, G, US, CS) if (CS%read_gust_2d) then if (associated(forces%tau_mag)) then ; do j=js,je ; do i=is,ie forces%tau_mag(i,j) = CS%gust(i,j) + & - sqrt(0.5*((forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2) + & - (forces%taux(I-1,j)**2 + forces%taux(I,j)**2))) + sqrt(0.5*(((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)) + & + ((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)))) enddo ; enddo ; endif if (associated(forces%ustar)) then ; do j=js,je ; do i=is,ie tau_mag = CS%gust(i,j) + & - sqrt(0.5*((forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2) + & - (forces%taux(I-1,j)**2 + forces%taux(I,j)**2))) + sqrt(0.5*(((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)) + & + ((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)))) forces%ustar(i,j) = sqrt( tau_mag * US%L_to_Z / CS%Rho0 ) enddo ; enddo ; endif else if (associated(forces%tau_mag)) then ; do j=js,je ; do i=is,ie forces%tau_mag(i,j) = CS%gust_const + & - sqrt(0.5*((forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2) + & - (forces%taux(I-1,j)**2 + forces%taux(I,j)**2))) + sqrt(0.5*(((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)) + & + ((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)))) enddo ; enddo ; endif if (associated(forces%ustar)) then ; do j=js,je ; do i=is,ie forces%ustar(i,j) = sqrt(US%L_to_Z * ( (CS%gust_const/CS%Rho0) + & - sqrt(0.5*((forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2) + & - (forces%taux(I-1,j)**2 + forces%taux(I,j)**2)))/CS%Rho0)) + sqrt(0.5*(((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)) + & + ((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2))))/CS%Rho0)) enddo ; enddo ; endif endif endif @@ -885,21 +885,21 @@ subroutine wind_forcing_by_data_override(sfc_state, forces, day, G, US, CS) if (CS%read_gust_2d) then call data_override(G%Domain, 'gust', CS%gust, day, scale=US%Pa_to_RLZ_T2) if (associated(forces%tau_mag)) then ; do j=G%jsc,G%jec ; do i=G%isc,G%iec - forces%tau_mag(i,j) = sqrt(temp_x(i,j)**2 + temp_y(i,j)**2) + CS%gust(i,j) + forces%tau_mag(i,j) = sqrt((temp_x(i,j)**2) + (temp_y(i,j)**2)) + CS%gust(i,j) enddo ; enddo ; endif do j=G%jsc,G%jec ; do i=G%isc,G%iec - tau_mag = sqrt(temp_x(i,j)**2 + temp_y(i,j)**2) + CS%gust(i,j) + tau_mag = sqrt((temp_x(i,j)**2) + (temp_y(i,j)**2)) + CS%gust(i,j) ustar_loc(i,j) = sqrt( tau_mag * US%L_to_Z / CS%Rho0 ) enddo ; enddo else if (associated(forces%tau_mag)) then do j=G%jsc,G%jec ; do i=G%isc,G%iec - forces%tau_mag(i,j) = sqrt(temp_x(i,j)**2 + temp_y(i,j)**2) + CS%gust_const + forces%tau_mag(i,j) = sqrt((temp_x(i,j)**2) + (temp_y(i,j)**2)) + CS%gust_const ! ustar_loc(i,j) = sqrt( forces%tau_mag(i,j) * US%L_to_Z / CS%Rho0 ) enddo ; enddo endif do j=G%jsc,G%jec ; do i=G%isc,G%iec - ustar_loc(i,j) = sqrt(US%L_to_Z * (sqrt(temp_x(i,j)**2 + temp_y(i,j)**2)/CS%Rho0 + & + ustar_loc(i,j) = sqrt(US%L_to_Z * (sqrt((temp_x(i,j)**2) + (temp_y(i,j)**2))/CS%Rho0 + & CS%gust_const/CS%Rho0)) enddo ; enddo endif @@ -945,25 +945,25 @@ subroutine stresses_to_ustar(forces, G, US, CS) if (CS%read_gust_2d) then if (associated(forces%tau_mag)) then ; do j=js,je ; do i=is,ie forces%tau_mag(i,j) = CS%gust(i,j) + & - sqrt(0.5*((forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2) + & - (forces%taux(I-1,j)**2 + forces%taux(I,j)**2))) + sqrt(0.5*(((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)) + & + ((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)))) enddo ; enddo ; endif if (associated(forces%ustar)) then ; do j=js,je ; do i=is,ie tau_mag = CS%gust(i,j) + & - sqrt(0.5*((forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2) + & - (forces%taux(I-1,j)**2 + forces%taux(I,j)**2))) + sqrt(0.5*(((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)) + & + ((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)))) forces%ustar(i,j) = sqrt( tau_mag * I_rho ) enddo ; enddo ; endif else if (associated(forces%tau_mag)) then ; do j=js,je ; do i=is,ie forces%tau_mag(i,j) = CS%gust_const + & - sqrt(0.5*((forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2) + & - (forces%taux(I-1,j)**2 + forces%taux(I,j)**2))) + sqrt(0.5*(((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)) + & + ((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)))) enddo ; enddo ; endif if (associated(forces%ustar)) then ; do j=js,je ; do i=is,ie tau_mag = CS%gust_const + & - sqrt(0.5*((forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2) + & - (forces%taux(I-1,j)**2 + forces%taux(I,j)**2))) + sqrt(0.5*(((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)) + & + ((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)))) forces%ustar(i,j) = sqrt( tau_mag * I_rho ) enddo ; enddo ; endif endif diff --git a/config_src/drivers/solo_driver/user_surface_forcing.F90 b/config_src/drivers/solo_driver/user_surface_forcing.F90 index 7d4ea94603..559291b225 100644 --- a/config_src/drivers/solo_driver/user_surface_forcing.F90 +++ b/config_src/drivers/solo_driver/user_surface_forcing.F90 @@ -91,8 +91,8 @@ subroutine USER_wind_forcing(sfc_state, forces, day, G, US, CS) if (associated(forces%ustar)) then ; do j=js,je ; do i=is,ie ! This expression can be changed if desired, but need not be. forces%tau_mag(i,j) = G%mask2dT(i,j) * (CS%gust_const + & - sqrt(0.5*(forces%taux(I-1,j)**2 + forces%taux(I,j)**2) + & - 0.5*(forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2))) + sqrt(0.5*((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)) + & + 0.5*((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)))) if (associated(forces%ustar)) & forces%ustar(i,j) = G%mask2dT(i,j) * sqrt(forces%tau_mag(i,j) * (US%L_to_Z/CS%Rho0)) enddo ; enddo ; endif diff --git a/src/ALE/regrid_edge_values.F90 b/src/ALE/regrid_edge_values.F90 index 0814c6a907..8aaeb12654 100644 --- a/src/ALE/regrid_edge_values.F90 +++ b/src/ALE/regrid_edge_values.F90 @@ -748,10 +748,10 @@ subroutine end_value_h4(dz, u, Csys) Wt(2,4) = -4.0 * I_h1234 * (I_h23 * (I_h123 + I_h234)) ! Wt*h1^3 > -4* (h1/h23)*(1+h1/h234) Wt(3,4) = 4.0 * I_denom ! = 4.0*I_h1234 * I_h234 * I_h34 ! Wt*h1^3 < 4 * (h1/h234)*(h1/h34) - Csys(1) = ((u(1) + Wt(1,1) * (u(2)-u(1))) + Wt(2,1) * (u(3)-u(2))) + Wt(3,1) * (u(4)-u(3)) - Csys(2) = (Wt(1,2) * (u(2)-u(1)) + Wt(2,2) * (u(3)-u(2))) + Wt(3,2) * (u(4)-u(3)) - Csys(3) = (Wt(1,3) * (u(2)-u(1)) + Wt(2,3) * (u(3)-u(2))) + Wt(3,3) * (u(4)-u(3)) - Csys(4) = (Wt(1,4) * (u(2)-u(1)) + Wt(2,4) * (u(3)-u(2))) + Wt(3,4) * (u(4)-u(3)) + Csys(1) = ((u(1) + (Wt(1,1) * (u(2)-u(1)))) + (Wt(2,1) * (u(3)-u(2)))) + (Wt(3,1) * (u(4)-u(3))) + Csys(2) = ((Wt(1,2) * (u(2)-u(1))) + (Wt(2,2) * (u(3)-u(2)))) + (Wt(3,2) * (u(4)-u(3))) + Csys(3) = ((Wt(1,3) * (u(2)-u(1))) + (Wt(2,3) * (u(3)-u(2)))) + (Wt(3,3) * (u(4)-u(3))) + Csys(4) = ((Wt(1,4) * (u(2)-u(1))) + (Wt(2,4) * (u(3)-u(2)))) + (Wt(3,4) * (u(4)-u(3))) ! endif ! End of non-uniform layer thickness branch. diff --git a/src/core/MOM_CoriolisAdv.F90 b/src/core/MOM_CoriolisAdv.F90 index 00a289ab9a..3cb78a1cb4 100644 --- a/src/core/MOM_CoriolisAdv.F90 +++ b/src/core/MOM_CoriolisAdv.F90 @@ -291,36 +291,36 @@ subroutine CorAdCalc(u, v, h, uh, vh, CAu, CAv, OBC, AD, G, GV, US, CS, pbv, Wav if (Stokes_VF) then if (CS%id_CAuS>0 .or. CS%id_CAvS>0) then do J=Jsq-1,Jeq+1 ; do I=Isq-1,Ieq+1 - dvSdx(I,J) = ((-Waves%us_y(i+1,J,k))*G%dyCv(i+1,J) - & - (-Waves%us_y(i,J,k))*G%dyCv(i,J)) - duSdy(I,J) = ((-Waves%us_x(I,j+1,k))*G%dxCu(I,j+1) - & - (-Waves%us_x(I,j,k))*G%dxCu(I,j)) + dvSdx(I,J) = (-Waves%us_y(i+1,J,k)*G%dyCv(i+1,J)) - & + (-Waves%us_y(i,J,k)*G%dyCv(i,J)) + duSdy(I,J) = (-Waves%us_x(I,j+1,k)*G%dxCu(I,j+1)) - & + (-Waves%us_x(I,j,k)*G%dxCu(I,j)) enddo; enddo endif if (.not. Waves%Passive_Stokes_VF) then do J=Jsq-1,Jeq+1 ; do I=Isq-1,Ieq+1 - dvdx(I,J) = ((v(i+1,J,k)-Waves%us_y(i+1,J,k))*G%dyCv(i+1,J) - & - (v(i,J,k)-Waves%us_y(i,J,k))*G%dyCv(i,J)) - dudy(I,J) = ((u(I,j+1,k)-Waves%us_x(I,j+1,k))*G%dxCu(I,j+1) - & - (u(I,j,k)-Waves%us_x(I,j,k))*G%dxCu(I,j)) + dvdx(I,J) = ((v(i+1,J,k)-Waves%us_y(i+1,J,k))*G%dyCv(i+1,J)) - & + ((v(i,J,k)-Waves%us_y(i,J,k))*G%dyCv(i,J)) + dudy(I,J) = ((u(I,j+1,k)-Waves%us_x(I,j+1,k))*G%dxCu(I,j+1)) - & + ((u(I,j,k)-Waves%us_x(I,j,k))*G%dxCu(I,j)) enddo; enddo else do J=Jsq-1,Jeq+1 ; do I=Isq-1,Ieq+1 - dvdx(I,J) = (v(i+1,J,k)*G%dyCv(i+1,J) - v(i,J,k)*G%dyCv(i,J)) - dudy(I,J) = (u(I,j+1,k)*G%dxCu(I,j+1) - u(I,j,k)*G%dxCu(I,j)) + dvdx(I,J) = (v(i+1,J,k)*G%dyCv(i+1,J)) - (v(i,J,k)*G%dyCv(i,J)) + dudy(I,J) = (u(I,j+1,k)*G%dxCu(I,j+1)) - (u(I,j,k)*G%dxCu(I,j)) enddo; enddo endif else do J=Jsq-1,Jeq+1 ; do I=Isq-1,Ieq+1 - dvdx(I,J) = (v(i+1,J,k)*G%dyCv(i+1,J) - v(i,J,k)*G%dyCv(i,J)) - dudy(I,J) = (u(I,j+1,k)*G%dxCu(I,j+1) - u(I,j,k)*G%dxCu(I,j)) + dvdx(I,J) = (v(i+1,J,k)*G%dyCv(i+1,J)) - (v(i,J,k)*G%dyCv(i,J)) + dudy(I,J) = (u(I,j+1,k)*G%dxCu(I,j+1)) - (u(I,j,k)*G%dxCu(I,j)) enddo; enddo endif do J=Jsq-1,Jeq+1 ; do i=Isq-1,Ieq+2 - hArea_v(i,J) = 0.5*(Area_h(i,j) * h(i,j,k) + Area_h(i,j+1) * h(i,j+1,k)) + hArea_v(i,J) = 0.5*((Area_h(i,j) * h(i,j,k)) + (Area_h(i,j+1) * h(i,j+1,k))) enddo ; enddo do j=Jsq-1,Jeq+2 ; do I=Isq-1,Ieq+1 - hArea_u(I,j) = 0.5*(Area_h(i,j) * h(i,j,k) + Area_h(i+1,j) * h(i+1,j,k)) + hArea_u(I,j) = 0.5*((Area_h(i,j) * h(i,j,k)) + (Area_h(i+1,j) * h(i+1,j,k))) enddo ; enddo if (CS%Coriolis_En_Dis) then @@ -667,8 +667,8 @@ subroutine CorAdCalc(u, v, h, uh, vh, CAu, CAv, OBC, AD, G, GV, US, CS, pbv, Wav ! Energy conserving scheme, Sadourny 1975 do j=js,je ; do I=Isq,Ieq CAu(I,j,k) = 0.25 * & - (q(I,J) * (vh(i+1,J,k) + vh(i,J,k)) + & - q(I,J-1) * (vh(i,J-1,k) + vh(i+1,J-1,k))) * G%IdxCu(I,j) + ((q(I,J) * (vh(i+1,J,k) + vh(i,J,k))) + & + (q(I,J-1) * (vh(i,J-1,k) + vh(i+1,J-1,k)))) * G%IdxCu(I,j) enddo ; enddo endif elseif (CS%Coriolis_Scheme == SADOURNY75_ENSTRO) then @@ -681,8 +681,8 @@ subroutine CorAdCalc(u, v, h, uh, vh, CAu, CAv, OBC, AD, G, GV, US, CS, pbv, Wav (CS%Coriolis_Scheme == AL_BLEND)) then ! (Global) Energy and (Local) Enstrophy conserving, Arakawa & Hsu 1990 do j=js,je ; do I=Isq,Ieq - CAu(I,j,k) = ((a(I,j) * vh(i+1,J,k) + c(I,j) * vh(i,J-1,k)) + & - (b(I,j) * vh(i,J,k) + d(I,j) * vh(i+1,J-1,k))) * G%IdxCu(I,j) + CAu(I,j,k) = (((a(I,j) * vh(i+1,J,k)) + (c(I,j) * vh(i,J-1,k))) + & + ((b(I,j) * vh(i,J,k)) + (d(I,j) * vh(i+1,J-1,k)))) * G%IdxCu(I,j) enddo ; enddo elseif (CS%Coriolis_Scheme == ROBUST_ENSTRO) then ! An enstrophy conserving scheme robust to vanishing layers @@ -707,8 +707,8 @@ subroutine CorAdCalc(u, v, h, uh, vh, CAu, CAv, OBC, AD, G, GV, US, CS, pbv, Wav (h_tiny + ((Heff1+Heff4) + (Heff2+Heff3)) ) * G%IdxCu(I,j) elseif (CS%PV_Adv_Scheme == PV_ADV_UPWIND1) then VHeff = ((vh(i,J,k) + vh(i+1,J-1,k)) + (vh(i,J-1,k) + vh(i+1,J,k)) ) - QVHeff = 0.5*( (abs_vort(I,J)+abs_vort(I,J-1))*VHeff & - -(abs_vort(I,J)-abs_vort(I,J-1))*abs(VHeff) ) + QVHeff = 0.5*( ((abs_vort(I,J)+abs_vort(I,J-1))*VHeff) & + - ((abs_vort(I,J)-abs_vort(I,J-1))*abs(VHeff)) ) CAu(I,j,k) = (QVHeff / ( h_tiny + ((Heff1+Heff4) + (Heff2+Heff3)) ) ) * G%IdxCu(I,j) endif enddo ; enddo @@ -717,7 +717,7 @@ subroutine CorAdCalc(u, v, h, uh, vh, CAu, CAv, OBC, AD, G, GV, US, CS, pbv, Wav if ((CS%Coriolis_Scheme == ARAKAWA_LAMB81) .or. & (CS%Coriolis_Scheme == AL_BLEND)) then ; do j=js,je ; do I=Isq,Ieq CAu(I,j,k) = CAu(I,j,k) + & - (ep_u(i,j)*uh(I-1,j,k) - ep_u(i+1,j)*uh(I+1,j,k)) * G%IdxCu(I,j) + ((ep_u(i,j)*uh(I-1,j,k)) - (ep_u(i+1,j)*uh(I+1,j,k))) * G%IdxCu(I,j) enddo ; enddo ; endif if (Stokes_VF) then @@ -725,8 +725,8 @@ subroutine CorAdCalc(u, v, h, uh, vh, CAu, CAv, OBC, AD, G, GV, US, CS, pbv, Wav ! Computing the diagnostic Stokes contribution to CAu do j=js,je ; do I=Isq,Ieq CAuS(I,j,k) = 0.25 * & - (qS(I,J) * (vh(i+1,J,k) + vh(i,J,k)) + & - qS(I,J-1) * (vh(i,J-1,k) + vh(i+1,J-1,k))) * G%IdxCu(I,j) + ((qS(I,J) * (vh(i+1,J,k) + vh(i,J,k))) + & + (qS(I,J-1) * (vh(i,J-1,k) + vh(i+1,J-1,k)))) * G%IdxCu(I,j) enddo ; enddo endif endif @@ -786,8 +786,8 @@ subroutine CorAdCalc(u, v, h, uh, vh, CAu, CAv, OBC, AD, G, GV, US, CS, pbv, Wav ! Energy conserving scheme, Sadourny 1975 do J=Jsq,Jeq ; do i=is,ie CAv(i,J,k) = - 0.25* & - (q(I-1,J)*(uh(I-1,j,k) + uh(I-1,j+1,k)) + & - q(I,J)*(uh(I,j,k) + uh(I,j+1,k))) * G%IdyCv(i,J) + ((q(I-1,J)*(uh(I-1,j,k) + uh(I-1,j+1,k))) + & + (q(I,J)*(uh(I,j,k) + uh(I,j+1,k)))) * G%IdyCv(i,J) enddo ; enddo endif elseif (CS%Coriolis_Scheme == SADOURNY75_ENSTRO) then @@ -800,10 +800,10 @@ subroutine CorAdCalc(u, v, h, uh, vh, CAu, CAv, OBC, AD, G, GV, US, CS, pbv, Wav (CS%Coriolis_Scheme == AL_BLEND)) then ! (Global) Energy and (Local) Enstrophy conserving, Arakawa & Hsu 1990 do J=Jsq,Jeq ; do i=is,ie - CAv(i,J,k) = - ((a(I-1,j) * uh(I-1,j,k) + & - c(I,j+1) * uh(I,j+1,k)) & - + (b(I,j) * uh(I,j,k) + & - d(I-1,j+1) * uh(I-1,j+1,k))) * G%IdyCv(i,J) + CAv(i,J,k) = - (((a(I-1,j) * uh(I-1,j,k)) + & + (c(I,j+1) * uh(I,j+1,k))) & + + ((b(I,j) * uh(I,j,k)) + & + (d(I-1,j+1) * uh(I-1,j+1,k)))) * G%IdyCv(i,J) enddo ; enddo elseif (CS%Coriolis_Scheme == ROBUST_ENSTRO) then ! An enstrophy conserving scheme robust to vanishing layers @@ -830,8 +830,8 @@ subroutine CorAdCalc(u, v, h, uh, vh, CAu, CAv, OBC, AD, G, GV, US, CS, pbv, Wav elseif (CS%PV_Adv_Scheme == PV_ADV_UPWIND1) then UHeff = ((uh(I ,j ,k)+uh(I-1,j+1,k)) + & (uh(I-1,j ,k)+uh(I ,j+1,k)) ) - QUHeff = 0.5*( (abs_vort(I,J)+abs_vort(I-1,J))*UHeff & - -(abs_vort(I,J)-abs_vort(I-1,J))*abs(UHeff) ) + QUHeff = 0.5*( ((abs_vort(I,J)+abs_vort(I-1,J))*UHeff) & + - ((abs_vort(I,J)-abs_vort(I-1,J))*abs(UHeff)) ) CAv(i,J,k) = - QUHeff / & (h_tiny + ((Heff1+Heff4) +(Heff2+Heff3)) ) * G%IdyCv(i,J) endif @@ -841,7 +841,7 @@ subroutine CorAdCalc(u, v, h, uh, vh, CAu, CAv, OBC, AD, G, GV, US, CS, pbv, Wav if ((CS%Coriolis_Scheme == ARAKAWA_LAMB81) .or. & (CS%Coriolis_Scheme == AL_BLEND)) then ; do J=Jsq,Jeq ; do i=is,ie CAv(i,J,k) = CAv(i,J,k) + & - (ep_v(i,j)*vh(i,J-1,k) - ep_v(i,j+1)*vh(i,J+1,k)) * G%IdyCv(i,J) + ((ep_v(i,j)*vh(i,J-1,k)) - (ep_v(i,j+1)*vh(i,J+1,k))) * G%IdyCv(i,J) enddo ; enddo ; endif if (Stokes_VF) then @@ -849,8 +849,8 @@ subroutine CorAdCalc(u, v, h, uh, vh, CAu, CAv, OBC, AD, G, GV, US, CS, pbv, Wav ! Computing the diagnostic Stokes contribution to CAv do J=Jsq,Jeq ; do i=is,ie CAvS(I,j,k) = 0.25 * & - (qS(I,J) * (uh(I,j+1,k) + uh(I,j,k)) + & - qS(I,J-1) * (uh(I-1,j,k) + uh(I-1,j+1,k))) * G%IdyCv(i,J) + ((qS(I,J) * (uh(I,j+1,k) + uh(I,j,k))) + & + (qS(I,J-1) * (uh(I-1,j,k) + uh(I-1,j+1,k)))) * G%IdyCv(i,J) enddo; enddo endif endif @@ -886,16 +886,16 @@ subroutine CorAdCalc(u, v, h, uh, vh, CAu, CAv, OBC, AD, G, GV, US, CS, pbv, Wav if (associated(AD%rv_x_u)) then do J=Jsq,Jeq ; do i=is,ie AD%rv_x_u(i,J,k) = - 0.25* & - (q2(I-1,j)*(uh(I-1,j,k) + uh(I-1,j+1,k)) + & - q2(I,j)*(uh(I,j,k) + uh(I,j+1,k))) * G%IdyCv(i,J) + ((q2(I-1,j)*(uh(I-1,j,k) + uh(I-1,j+1,k))) + & + (q2(I,j)*(uh(I,j,k) + uh(I,j+1,k)))) * G%IdyCv(i,J) enddo ; enddo endif if (associated(AD%rv_x_v)) then do j=js,je ; do I=Isq,Ieq AD%rv_x_v(I,j,k) = 0.25 * & - (q2(I,j) * (vh(i+1,J,k) + vh(i,J,k)) + & - q2(I,j-1) * (vh(i,J-1,k) + vh(i+1,J-1,k))) * G%IdxCu(I,j) + ((q2(I,j) * (vh(i+1,J,k) + vh(i,J,k))) + & + (q2(I,j-1) * (vh(i,J-1,k) + vh(i+1,J-1,k)))) * G%IdxCu(I,j) enddo ; enddo endif else @@ -997,10 +997,10 @@ subroutine gradKE(u, v, h, KE, KEx, KEy, k, OBC, G, GV, US, CS) ! identified in Arakawa & Lamb 1982 as important for KE conservation. It ! also includes the possibility of partially-blocked tracer cell faces. do j=Jsq,Jeq+1 ; do i=Isq,Ieq+1 - KE(i,j) = ( ( G%areaCu( I ,j)*(u( I ,j,k)*u( I ,j,k)) + & - G%areaCu(I-1,j)*(u(I-1,j,k)*u(I-1,j,k)) ) + & - ( G%areaCv(i, J )*(v(i, J ,k)*v(i, J ,k)) + & - G%areaCv(i,J-1)*(v(i,J-1,k)*v(i,J-1,k)) ) )*0.25*G%IareaT(i,j) + KE(i,j) = ( ( (G%areaCu( I ,j)*(u( I ,j,k)*u( I ,j,k))) + & + (G%areaCu(I-1,j)*(u(I-1,j,k)*u(I-1,j,k))) ) + & + ( (G%areaCv(i, J )*(v(i, J ,k)*v(i, J ,k))) + & + (G%areaCv(i,J-1)*(v(i,J-1,k)*v(i,J-1,k))) ) )*0.25*G%IareaT(i,j) enddo ; enddo elseif (CS%KE_Scheme == KE_SIMPLE_GUDONOV) then ! The following discretization of KE is based on the one-dimensional Gudonov diff --git a/src/core/MOM_PressureForce_Montgomery.F90 b/src/core/MOM_PressureForce_Montgomery.F90 index 6d982bc7e3..1529af9d83 100644 --- a/src/core/MOM_PressureForce_Montgomery.F90 +++ b/src/core/MOM_PressureForce_Montgomery.F90 @@ -337,14 +337,14 @@ subroutine PressureForce_Mont_nonBouss(h, tv, PFu, PFv, G, GV, US, CS, p_atm, pb do j=js,je ; do I=Isq,Ieq ! PFu_bc = p* grad alpha* PFu_bc = (alpha_star(i+1,j,k) - alpha_star(i,j,k)) * (G%IdxCu(I,j) * & - ((dp_star(i,j)*dp_star(i+1,j) + (p(i,j,K)*dp_star(i+1,j) + p(i+1,j,K)*dp_star(i,j))) / & + ((dp_star(i,j)*dp_star(i+1,j) + ((p(i,j,K)*dp_star(i+1,j)) + (p(i+1,j,K)*dp_star(i,j)))) / & (dp_star(i,j) + dp_star(i+1,j)))) PFu(I,j,k) = -(M(i+1,j,k) - M(i,j,k)) * G%IdxCu(I,j) + PFu_bc if (allocated(CS%PFu_bc)) CS%PFu_bc(i,j,k) = PFu_bc enddo ; enddo do J=Jsq,Jeq ; do i=is,ie PFv_bc = (alpha_star(i,j+1,k) - alpha_star(i,j,k)) * (G%IdyCv(i,J) * & - ((dp_star(i,j)*dp_star(i,j+1) + (p(i,j,K)*dp_star(i,j+1) + p(i,j+1,K)*dp_star(i,j))) / & + ((dp_star(i,j)*dp_star(i,j+1) + ((p(i,j,K)*dp_star(i,j+1)) + (p(i,j+1,K)*dp_star(i,j)))) / & (dp_star(i,j) + dp_star(i,j+1)))) PFv(i,J,k) = -(M(i,j+1,k) - M(i,j,k)) * G%IdyCv(i,J) + PFv_bc if (allocated(CS%PFv_bc)) CS%PFv_bc(i,j,k) = PFv_bc @@ -586,15 +586,15 @@ subroutine PressureForce_Mont_Bouss(h, tv, PFu, PFv, G, GV, US, CS, p_atm, pbce, enddo ; enddo do j=js,je ; do I=Isq,Ieq PFu_bc = -1.0*(rho_star(i+1,j,k) - rho_star(i,j,k)) * (G%IdxCu(I,j) * & - ((h_star(i,j) * h_star(i+1,j) - (e(i,j,K) * h_star(i+1,j) + & - e(i+1,j,K) * h_star(i,j))) / (h_star(i,j) + h_star(i+1,j)))) + ((h_star(i,j) * h_star(i+1,j) - ((e(i,j,K) * h_star(i+1,j)) + & + (e(i+1,j,K) * h_star(i,j)))) / (h_star(i,j) + h_star(i+1,j)))) PFu(I,j,k) = -(M(i+1,j,k) - M(i,j,k)) * G%IdxCu(I,j) + PFu_bc if (allocated(CS%PFu_bc)) CS%PFu_bc(i,j,k) = PFu_bc enddo ; enddo do J=Jsq,Jeq ; do i=is,ie PFv_bc = -1.0*(rho_star(i,j+1,k) - rho_star(i,j,k)) * (G%IdyCv(i,J) * & - ((h_star(i,j) * h_star(i,j+1) - (e(i,j,K) * h_star(i,j+1) + & - e(i,j+1,K) * h_star(i,j))) / (h_star(i,j) + h_star(i,j+1)))) + ((h_star(i,j) * h_star(i,j+1) - ((e(i,j,K) * h_star(i,j+1)) + & + (e(i,j+1,K) * h_star(i,j)))) / (h_star(i,j) + h_star(i,j+1)))) PFv(i,J,k) = -(M(i,j+1,k) - M(i,j,k)) * G%IdyCv(i,J) + PFv_bc if (allocated(CS%PFv_bc)) CS%PFv_bc(i,j,k) = PFv_bc enddo ; enddo diff --git a/src/core/MOM_barotropic.F90 b/src/core/MOM_barotropic.F90 index 83bfab0820..0d30cd8671 100644 --- a/src/core/MOM_barotropic.F90 +++ b/src/core/MOM_barotropic.F90 @@ -915,10 +915,10 @@ subroutine btstep(U_in, V_in, eta_in, dt, bc_accel_u, bc_accel_v, forces, pbce, do J=js-1,je ; do I=is-1,ie q(I,J) = 0.25 * (CS%BT_Coriolis_scale * G%CoriolisBu(I,J)) * & ((G%areaT(i,j) + G%areaT(i+1,j+1)) + (G%areaT(i+1,j) + G%areaT(i,j+1))) / & - (max((G%areaT(i,j) * max(GV%Z_to_H*G%bathyT(i,j) + eta_in(i,j), 0.0) + & - G%areaT(i+1,j+1) * max(GV%Z_to_H*G%bathyT(i+1,j+1) + eta_in(i+1,j+1), 0.0)) + & - (G%areaT(i+1,j) * max(GV%Z_to_H*G%bathyT(i+1,j) + eta_in(i+1,j), 0.0) + & - G%areaT(i,j+1) * max(GV%Z_to_H*G%bathyT(i,j+1) + eta_in(i,j+1), 0.0)), h_neglect) ) + (max(((G%areaT(i,j) * max(GV%Z_to_H*G%bathyT(i,j) + eta_in(i,j), 0.0)) + & + (G%areaT(i+1,j+1) * max(GV%Z_to_H*G%bathyT(i+1,j+1) + eta_in(i+1,j+1), 0.0))) + & + ((G%areaT(i+1,j) * max(GV%Z_to_H*G%bathyT(i+1,j) + eta_in(i+1,j), 0.0)) + & + (G%areaT(i,j+1) * max(GV%Z_to_H*G%bathyT(i,j+1) + eta_in(i,j+1), 0.0))), h_neglect) ) enddo ; enddo else !$OMP parallel do default(shared) @@ -933,8 +933,8 @@ subroutine btstep(U_in, V_in, eta_in, dt, bc_accel_u, bc_accel_v, forces, pbce, do J=js-1,je ; do I=is-1,ie q(I,J) = 0.25 * (CS%BT_Coriolis_scale * G%CoriolisBu(I,J)) * & ((G%areaT(i,j) + G%areaT(i+1,j+1)) + (G%areaT(i+1,j) + G%areaT(i,j+1))) / & - (max((G%areaT(i,j) * eta_in(i,j) + G%areaT(i+1,j+1) * eta_in(i+1,j+1)) + & - (G%areaT(i+1,j) * eta_in(i+1,j) + G%areaT(i,j+1) * eta_in(i,j+1)), h_neglect) ) + (max(((G%areaT(i,j) * eta_in(i,j)) + (G%areaT(i+1,j+1) * eta_in(i+1,j+1))) + & + ((G%areaT(i+1,j) * eta_in(i+1,j)) + (G%areaT(i,j+1) * eta_in(i,j+1))), h_neglect) ) enddo ; enddo endif @@ -1477,14 +1477,14 @@ subroutine btstep(U_in, V_in, eta_in, dt, bc_accel_u, bc_accel_v, forces, pbce, !$OMP parallel do default(shared) do j=js,je ; do I=is-1,ie Cor_ref_u(I,j) = & - ((azon(I,j) * vbt_Cor(i+1,j) + czon(I,j) * vbt_Cor(i ,j-1)) + & - (bzon(I,j) * vbt_Cor(i ,j) + dzon(I,j) * vbt_Cor(i+1,j-1))) + (((azon(I,j) * vbt_Cor(i+1,j)) + (czon(I,j) * vbt_Cor(i ,j-1))) + & + ((bzon(I,j) * vbt_Cor(i ,j)) + (dzon(I,j) * vbt_Cor(i+1,j-1)))) enddo ; enddo !$OMP parallel do default(shared) do J=js-1,je ; do i=is,ie Cor_ref_v(i,J) = -1.0 * & - ((amer(I-1,j) * ubt_Cor(I-1,j) + cmer(I ,j+1) * ubt_Cor(I ,j+1)) + & - (bmer(I ,j) * ubt_Cor(I ,j) + dmer(I-1,j+1) * ubt_Cor(I-1,j+1))) + (((amer(I-1,j) * ubt_Cor(I-1,j)) + (cmer(I ,j+1) * ubt_Cor(I ,j+1))) + & + ((bmer(I ,j) * ubt_Cor(I ,j)) + (dmer(I-1,j+1) * ubt_Cor(I-1,j+1)))) enddo ; enddo ! Now start new halo updates. @@ -1645,16 +1645,16 @@ subroutine btstep(U_in, V_in, eta_in, dt, bc_accel_u, bc_accel_v, forces, pbce, ! gravity waves, but it is a conservative estimate since it ignores the ! stabilizing effect of the bottom drag. Idt_max2 = 0.5 * (dgeo_de * (1.0 + 2.0*bebt)) * (G%IareaT(i,j) * & - ((gtot_E(i,j) * (Datu(I,j)*G%IdxCu(I,j)) + & - gtot_W(i,j) * (Datu(I-1,j)*G%IdxCu(I-1,j))) + & - (gtot_N(i,j) * (Datv(i,J)*G%IdyCv(i,J)) + & - gtot_S(i,j) * (Datv(i,J-1)*G%IdyCv(i,J-1)))) + & - ((G%CoriolisBu(I,J)**2 + G%CoriolisBu(I-1,J-1)**2) + & - (G%CoriolisBu(I-1,J)**2 + G%CoriolisBu(I,J-1)**2)) * CS%BT_Coriolis_scale**2 ) - H_eff_dx2 = max(H_min_dyn * ((G%IdxT(i,j))**2 + (G%IdyT(i,j))**2), & + (((gtot_E(i,j) * (Datu(I,j)*G%IdxCu(I,j))) + & + (gtot_W(i,j) * (Datu(I-1,j)*G%IdxCu(I-1,j)))) + & + ((gtot_N(i,j) * (Datv(i,J)*G%IdyCv(i,J))) + & + (gtot_S(i,j) * (Datv(i,J-1)*G%IdyCv(i,J-1))))) + & + ((G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I-1,J-1)) + & + (G%Coriolis2Bu(I-1,J) + G%Coriolis2Bu(I,J-1))) * CS%BT_Coriolis_scale**2 ) + H_eff_dx2 = max(H_min_dyn * ((G%IdxT(i,j)**2) + (G%IdyT(i,j)**2)), & G%IareaT(i,j) * & - ((Datu(I,j)*G%IdxCu(I,j) + Datu(I-1,j)*G%IdxCu(I-1,j)) + & - (Datv(i,J)*G%IdyCv(i,J) + Datv(i,J-1)*G%IdyCv(i,J-1)) ) ) + (((Datu(I,j)*G%IdxCu(I,j)) + (Datu(I-1,j)*G%IdxCu(I-1,j))) + & + ((Datv(i,J)*G%IdyCv(i,J)) + (Datv(i,J-1)*G%IdyCv(i,J-1))) ) ) dyn_coef_max = CS%const_dyn_psurf * max(0.0, 1.0 - dtbt**2 * Idt_max2) / & (dtbt**2 * H_eff_dx2) @@ -1974,10 +1974,10 @@ subroutine btstep(U_in, V_in, eta_in, dt, bc_accel_u, bc_accel_v, forces, pbce, ! On odd-steps, update v first. !$OMP do schedule(static) do J=jsv-1,jev ; do i=isv-1,iev+1 - Cor_v(i,J) = -1.0*((amer(I-1,j) * ubt(I-1,j) + cmer(I,j+1) * ubt(I,j+1)) + & - (bmer(I,j) * ubt(I,j) + dmer(I-1,j+1) * ubt(I-1,j+1))) - Cor_ref_v(i,J) - PFv(i,J) = ((eta_PF_BT(i,j)-eta_PF(i,j))*gtot_N(i,j) - & - (eta_PF_BT(i,j+1)-eta_PF(i,j+1))*gtot_S(i,j+1)) * & + Cor_v(i,J) = -1.0*(((amer(I-1,j) * ubt(I-1,j)) + (cmer(I,j+1) * ubt(I,j+1))) + & + ((bmer(I,j) * ubt(I,j)) + (dmer(I-1,j+1) * ubt(I-1,j+1)))) - Cor_ref_v(i,J) + PFv(i,J) = (((eta_PF_BT(i,j)-eta_PF(i,j))*gtot_N(i,j)) - & + ((eta_PF_BT(i,j+1)-eta_PF(i,j+1))*gtot_S(i,j+1))) * & dgeo_de * CS%IdyCv(i,J) enddo ; enddo !$OMP end do nowait @@ -2049,11 +2049,11 @@ subroutine btstep(U_in, V_in, eta_in, dt, bc_accel_u, bc_accel_v, forces, pbce, ! Now update the zonal velocity. !$OMP do schedule(static) do j=jsv,jev ; do I=isv-1,iev - Cor_u(I,j) = ((azon(I,j) * vbt(i+1,J) + czon(I,j) * vbt(i,J-1)) + & - (bzon(I,j) * vbt(i,J) + dzon(I,j) * vbt(i+1,J-1))) - & + Cor_u(I,j) = (((azon(I,j) * vbt(i+1,J)) + (czon(I,j) * vbt(i,J-1))) + & + ((bzon(I,j) * vbt(i,J)) + (dzon(I,j) * vbt(i+1,J-1)))) - & Cor_ref_u(I,j) - PFu(I,j) = ((eta_PF_BT(i,j)-eta_PF(i,j))*gtot_E(i,j) - & - (eta_PF_BT(i+1,j)-eta_PF(i+1,j))*gtot_W(i+1,j)) * & + PFu(I,j) = (((eta_PF_BT(i,j)-eta_PF(i,j))*gtot_E(i,j)) - & + ((eta_PF_BT(i+1,j)-eta_PF(i+1,j))*gtot_W(i+1,j))) * & dgeo_de * CS%IdxCu(I,j) enddo ; enddo !$OMP end do nowait @@ -2128,11 +2128,11 @@ subroutine btstep(U_in, V_in, eta_in, dt, bc_accel_u, bc_accel_v, forces, pbce, ! On even steps, update u first. !$OMP do schedule(static) do j=jsv-1,jev+1 ; do I=isv-1,iev - Cor_u(I,j) = ((azon(I,j) * vbt(i+1,J) + czon(I,j) * vbt(i,J-1)) + & - (bzon(I,j) * vbt(i,J) + dzon(I,j) * vbt(i+1,J-1))) - & + Cor_u(I,j) = (((azon(I,j) * vbt(i+1,J)) + (czon(I,j) * vbt(i,J-1))) + & + ((bzon(I,j) * vbt(i,J)) + (dzon(I,j) * vbt(i+1,J-1)))) - & Cor_ref_u(I,j) - PFu(I,j) = ((eta_PF_BT(i,j)-eta_PF(i,j))*gtot_E(i,j) - & - (eta_PF_BT(i+1,j)-eta_PF(i+1,j))*gtot_W(i+1,j)) * & + PFu(I,j) = (((eta_PF_BT(i,j)-eta_PF(i,j))*gtot_E(i,j)) - & + ((eta_PF_BT(i+1,j)-eta_PF(i+1,j))*gtot_W(i+1,j))) * & dgeo_de * CS%IdxCu(I,j) enddo ; enddo !$OMP end do nowait @@ -2206,20 +2206,20 @@ subroutine btstep(U_in, V_in, eta_in, dt, bc_accel_u, bc_accel_v, forces, pbce, if (CS%use_old_coriolis_bracket_bug) then !$OMP do schedule(static) do J=jsv-1,jev ; do i=isv,iev - Cor_v(i,J) = -1.0*((amer(I-1,j) * ubt(I-1,j) + bmer(I,j) * ubt(I,j)) + & - (cmer(I,j+1) * ubt(I,j+1) + dmer(I-1,j+1) * ubt(I-1,j+1))) - Cor_ref_v(i,J) - PFv(i,J) = ((eta_PF_BT(i,j)-eta_PF(i,j))*gtot_N(i,j) - & - (eta_PF_BT(i,j+1)-eta_PF(i,j+1))*gtot_S(i,j+1)) * & + Cor_v(i,J) = -1.0*(((amer(I-1,j) * ubt(I-1,j)) + (bmer(I,j) * ubt(I,j))) + & + ((cmer(I,j+1) * ubt(I,j+1)) + (dmer(I-1,j+1) * ubt(I-1,j+1)))) - Cor_ref_v(i,J) + PFv(i,J) = (((eta_PF_BT(i,j)-eta_PF(i,j))*gtot_N(i,j)) - & + ((eta_PF_BT(i,j+1)-eta_PF(i,j+1))*gtot_S(i,j+1))) * & dgeo_de * CS%IdyCv(i,J) enddo ; enddo !$OMP end do nowait else !$OMP do schedule(static) do J=jsv-1,jev ; do i=isv,iev - Cor_v(i,J) = -1.0*((amer(I-1,j) * ubt(I-1,j) + cmer(I,j+1) * ubt(I,j+1)) + & - (bmer(I,j) * ubt(I,j) + dmer(I-1,j+1) * ubt(I-1,j+1))) - Cor_ref_v(i,J) - PFv(i,J) = ((eta_PF_BT(i,j)-eta_PF(i,j))*gtot_N(i,j) - & - (eta_PF_BT(i,j+1)-eta_PF(i,j+1))*gtot_S(i,j+1)) * & + Cor_v(i,J) = -1.0*(((amer(I-1,j) * ubt(I-1,j)) + (cmer(I,j+1) * ubt(I,j+1))) + & + ((bmer(I,j) * ubt(I,j)) + (dmer(I-1,j+1) * ubt(I-1,j+1)))) - Cor_ref_v(i,J) + PFv(i,J) = (((eta_PF_BT(i,j)-eta_PF(i,j))*gtot_N(i,j)) - & + ((eta_PF_BT(i,j+1)-eta_PF(i,j+1))*gtot_S(i,j+1))) * & dgeo_de * CS%IdyCv(i,J) enddo ; enddo !$OMP end do nowait @@ -2576,14 +2576,14 @@ subroutine btstep(U_in, V_in, eta_in, dt, bc_accel_u, bc_accel_v, forces, pbce, do k=1,nz do j=js,je ; do I=is-1,ie accel_layer_u(I,j,k) = (u_accel_bt(I,j) - & - ((pbce(i+1,j,k) - gtot_W(i+1,j)) * e_anom(i+1,j) - & - (pbce(i,j,k) - gtot_E(i,j)) * e_anom(i,j)) * CS%IdxCu(I,j) ) + (((pbce(i+1,j,k) - gtot_W(i+1,j)) * e_anom(i+1,j)) - & + ((pbce(i,j,k) - gtot_E(i,j)) * e_anom(i,j))) * CS%IdxCu(I,j) ) if (abs(accel_layer_u(I,j,k)) < accel_underflow) accel_layer_u(I,j,k) = 0.0 enddo ; enddo do J=js-1,je ; do i=is,ie accel_layer_v(i,J,k) = (v_accel_bt(i,J) - & - ((pbce(i,j+1,k) - gtot_S(i,j+1)) * e_anom(i,j+1) - & - (pbce(i,j,k) - gtot_N(i,j)) * e_anom(i,j)) * CS%IdyCv(i,J) ) + (((pbce(i,j+1,k) - gtot_S(i,j+1)) * e_anom(i,j+1)) - & + ((pbce(i,j,k) - gtot_N(i,j)) * e_anom(i,j))) * CS%IdyCv(i,J) ) if (abs(accel_layer_v(i,J,k)) < accel_underflow) accel_layer_v(i,J,k) = 0.0 enddo ; enddo enddo @@ -2904,10 +2904,10 @@ subroutine set_dtbt(G, GV, US, CS, eta, pbce, BT_cont, gtot_est, SSH_add) ! This is pretty accurate for gravity waves, but it is a conservative ! estimate since it ignores the stabilizing effect of the bottom drag. Idt_max2 = 0.5 * (1.0 + 2.0*CS%bebt) * (G%IareaT(i,j) * & - ((gtot_E(i,j)*Datu(I,j)*G%IdxCu(I,j) + gtot_W(i,j)*Datu(I-1,j)*G%IdxCu(I-1,j)) + & - (gtot_N(i,j)*Datv(i,J)*G%IdyCv(i,J) + gtot_S(i,j)*Datv(i,J-1)*G%IdyCv(i,J-1))) + & - ((G%CoriolisBu(I,J)**2 + G%CoriolisBu(I-1,J-1)**2) + & - (G%CoriolisBu(I-1,J)**2 + G%CoriolisBu(I,J-1)**2)) * CS%BT_Coriolis_scale**2 ) + (((gtot_E(i,j)*Datu(I,j)*G%IdxCu(I,j)) + (gtot_W(i,j)*Datu(I-1,j)*G%IdxCu(I-1,j))) + & + ((gtot_N(i,j)*Datv(i,J)*G%IdyCv(i,J)) + (gtot_S(i,j)*Datv(i,J-1)*G%IdyCv(i,J-1)))) + & + ((G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I-1,J-1)) + & + (G%Coriolis2Bu(I-1,J) + G%Coriolis2Bu(I,J-1))) * CS%BT_Coriolis_scale**2 ) if (Idt_max2 * min_max_dt2 > 1.0) min_max_dt2 = 1.0 / Idt_max2 enddo ; enddo dtbt_max = sqrt(min_max_dt2 / dgeo_de) @@ -4850,10 +4850,10 @@ subroutine barotropic_init(u, v, h, eta, Time, G, GV, US, param_file, diag, CS, if (G%mask2dT(i,j)+G%mask2dT(i,j+1)+G%mask2dT(i+1,j)+G%mask2dT(i+1,j+1)>0.) then CS%q_D(I,J) = 0.25 * (CS%BT_Coriolis_scale * G%CoriolisBu(I,J)) * & ((G%areaT(i,j) + G%areaT(i+1,j+1)) + (G%areaT(i+1,j) + G%areaT(i,j+1))) / & - (Z_to_H * max(((G%areaT(i,j) * max(Mean_SL+G%bathyT(i,j),0.0) + & - G%areaT(i+1,j+1) * max(Mean_SL+G%bathyT(i+1,j+1),0.0)) + & - (G%areaT(i+1,j) * max(Mean_SL+G%bathyT(i+1,j),0.0) + & - G%areaT(i,j+1) * max(Mean_SL+G%bathyT(i,j+1),0.0))), GV%H_subroundoff) ) + (Z_to_H * max((((G%areaT(i,j) * max(Mean_SL+G%bathyT(i,j),0.0)) + & + (G%areaT(i+1,j+1) * max(Mean_SL+G%bathyT(i+1,j+1),0.0))) + & + ((G%areaT(i+1,j) * max(Mean_SL+G%bathyT(i+1,j),0.0)) + & + (G%areaT(i,j+1) * max(Mean_SL+G%bathyT(i,j+1),0.0)))), GV%H_subroundoff) ) else ! All four h points are masked out so q_D(I,J) will is meaningless CS%q_D(I,J) = 0. endif diff --git a/src/core/MOM_continuity_PPM.F90 b/src/core/MOM_continuity_PPM.F90 index ba8c234bc2..13181902ec 100644 --- a/src/core/MOM_continuity_PPM.F90 +++ b/src/core/MOM_continuity_PPM.F90 @@ -937,14 +937,14 @@ subroutine zonal_flux_layer(u, h, h_W, h_E, uh, duhdu, visc_rem, dt, G, US, j, & if (u(I) > 0.0) then if (vol_CFL) then ; CFL = (u(I) * dt) * (G%dy_Cu(I,j) * G%IareaT(i,j)) else ; CFL = u(I) * dt * G%IdxT(i,j) ; endif - curv_3 = h_W(i) + h_E(i) - 2.0*h(i) + curv_3 = (h_W(i) + h_E(i)) - 2.0*h(i) uh(I) = (G%dy_Cu(I,j) * por_face_areaU(I)) * u(I) * & (h_E(i) + CFL * (0.5*(h_W(i) - h_E(i)) + curv_3*(CFL - 1.5))) h_marg = h_E(i) + CFL * ((h_W(i) - h_E(i)) + 3.0*curv_3*(CFL - 1.0)) elseif (u(I) < 0.0) then if (vol_CFL) then ; CFL = (-u(I) * dt) * (G%dy_Cu(I,j) * G%IareaT(i+1,j)) else ; CFL = -u(I) * dt * G%IdxT(i+1,j) ; endif - curv_3 = h_W(i+1) + h_E(i+1) - 2.0*h(i+1) + curv_3 = (h_W(i+1) + h_E(i+1)) - 2.0*h(i+1) uh(I) = (G%dy_Cu(I,j) * por_face_areaU(I)) * u(I) * & (h_W(i+1) + CFL * (0.5*(h_E(i+1)-h_W(i+1)) + curv_3*(CFL - 1.5))) h_marg = h_W(i+1) + CFL * ((h_E(i+1)-h_W(i+1)) + 3.0*curv_3*(CFL - 1.0)) @@ -1019,13 +1019,13 @@ subroutine zonal_flux_thickness(u, h, h_W, h_E, h_u, dt, G, GV, US, LB, vol_CFL, if (u(I,j,k) > 0.0) then if (vol_CFL) then ; CFL = (u(I,j,k) * dt) * (G%dy_Cu(I,j) * G%IareaT(i,j)) else ; CFL = u(I,j,k) * dt * G%IdxT(i,j) ; endif - curv_3 = h_W(i,j,k) + h_E(i,j,k) - 2.0*h(i,j,k) + curv_3 = (h_W(i,j,k) + h_E(i,j,k)) - 2.0*h(i,j,k) h_avg = h_E(i,j,k) + CFL * (0.5*(h_W(i,j,k) - h_E(i,j,k)) + curv_3*(CFL - 1.5)) h_marg = h_E(i,j,k) + CFL * ((h_W(i,j,k) - h_E(i,j,k)) + 3.0*curv_3*(CFL - 1.0)) elseif (u(I,j,k) < 0.0) then if (vol_CFL) then ; CFL = (-u(I,j,k)*dt) * (G%dy_Cu(I,j) * G%IareaT(i+1,j)) else ; CFL = -u(I,j,k) * dt * G%IdxT(i+1,j) ; endif - curv_3 = h_W(i+1,j,k) + h_E(i+1,j,k) - 2.0*h(i+1,j,k) + curv_3 = (h_W(i+1,j,k) + h_E(i+1,j,k)) - 2.0*h(i+1,j,k) h_avg = h_W(i+1,j,k) + CFL * (0.5*(h_E(i+1,j,k)-h_W(i+1,j,k)) + curv_3*(CFL - 1.5)) h_marg = h_W(i+1,j,k) + CFL * ((h_E(i+1,j,k)-h_W(i+1,j,k)) + & 3.0*curv_3*(CFL - 1.0)) @@ -1832,7 +1832,7 @@ subroutine merid_flux_layer(v, h, h_S, h_N, vh, dvhdv, visc_rem, dt, G, US, J, & if (v(i) > 0.0) then if (vol_CFL) then ; CFL = (v(i) * dt) * (G%dx_Cv(i,J) * G%IareaT(i,j)) else ; CFL = v(i) * dt * G%IdyT(i,j) ; endif - curv_3 = h_S(i,j) + h_N(i,j) - 2.0*h(i,j) + curv_3 = (h_S(i,j) + h_N(i,j)) - 2.0*h(i,j) vh(i) = (G%dx_Cv(i,J)*por_face_areaV(i,J)) * v(i) * ( h_N(i,j) + CFL * & (0.5*(h_S(i,j) - h_N(i,j)) + curv_3*(CFL - 1.5)) ) h_marg = h_N(i,j) + CFL * ((h_S(i,j) - h_N(i,j)) + & @@ -1840,7 +1840,7 @@ subroutine merid_flux_layer(v, h, h_S, h_N, vh, dvhdv, visc_rem, dt, G, US, J, & elseif (v(i) < 0.0) then if (vol_CFL) then ; CFL = (-v(i) * dt) * (G%dx_Cv(i,J) * G%IareaT(i,j+1)) else ; CFL = -v(i) * dt * G%IdyT(i,j+1) ; endif - curv_3 = h_S(i,j+1) + h_N(i,j+1) - 2.0*h(i,j+1) + curv_3 = (h_S(i,j+1) + h_N(i,j+1)) - 2.0*h(i,j+1) vh(i) = (G%dx_Cv(i,J)*por_face_areaV(i,J)) * v(i) * ( h_S(i,j+1) + CFL * & (0.5*(h_N(i,j+1)-h_S(i,j+1)) + curv_3*(CFL - 1.5)) ) h_marg = h_S(i,j+1) + CFL * ((h_N(i,j+1)-h_S(i,j+1)) + & @@ -1919,14 +1919,14 @@ subroutine meridional_flux_thickness(v, h, h_S, h_N, h_v, dt, G, GV, US, LB, vol if (v(i,J,k) > 0.0) then if (vol_CFL) then ; CFL = (v(i,J,k) * dt) * (G%dx_Cv(i,J) * G%IareaT(i,j)) else ; CFL = v(i,J,k) * dt * G%IdyT(i,j) ; endif - curv_3 = h_S(i,j,k) + h_N(i,j,k) - 2.0*h(i,j,k) + curv_3 = (h_S(i,j,k) + h_N(i,j,k)) - 2.0*h(i,j,k) h_avg = h_N(i,j,k) + CFL * (0.5*(h_S(i,j,k) - h_N(i,j,k)) + curv_3*(CFL - 1.5)) h_marg = h_N(i,j,k) + CFL * ((h_S(i,j,k) - h_N(i,j,k)) + & 3.0*curv_3*(CFL - 1.0)) elseif (v(i,J,k) < 0.0) then if (vol_CFL) then ; CFL = (-v(i,J,k)*dt) * (G%dx_Cv(i,J) * G%IareaT(i,j+1)) else ; CFL = -v(i,J,k) * dt * G%IdyT(i,j+1) ; endif - curv_3 = h_S(i,j+1,k) + h_N(i,j+1,k) - 2.0*h(i,j+1,k) + curv_3 = (h_S(i,j+1,k) + h_N(i,j+1,k)) - 2.0*h(i,j+1,k) h_avg = h_S(i,j+1,k) + CFL * (0.5*(h_N(i,j+1,k)-h_S(i,j+1,k)) + curv_3*(CFL - 1.5)) h_marg = h_S(i,j+1,k) + CFL * ((h_N(i,j+1,k)-h_S(i,j+1,k)) + & 3.0*curv_3*(CFL - 1.0)) @@ -2601,7 +2601,7 @@ subroutine PPM_limit_pos(h_in, h_L, h_R, h_min, G, iis, iie, jis, jie) do j=jis,jie ; do i=iis,iie ! This limiter prevents undershooting minima within the domain with ! values less than h_min. - curv = 3.0*(h_L(i,j) + h_R(i,j) - 2.0*h_in(i,j)) + curv = 3.0*((h_L(i,j) + h_R(i,j)) - 2.0*h_in(i,j)) if (curv > 0.0) then ! Only minima are limited. dh = h_R(i,j) - h_L(i,j) if (abs(dh) < curv) then ! The parabola's minimum is within the cell. diff --git a/src/core/MOM_density_integrals.F90 b/src/core/MOM_density_integrals.F90 index 6d80d4dd55..bf6b2f6fef 100644 --- a/src/core/MOM_density_integrals.F90 +++ b/src/core/MOM_density_integrals.F90 @@ -254,12 +254,12 @@ subroutine int_density_dz_generic_pcm(T, S, z_t, z_b, rho_ref, rho_0, G_e, HI, & ! T, S, and z are interpolated in the horizontal. The z interpolation ! is linear, but for T and S it may be thickness weighted. wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR - dz_x(m,i) = wt_L*(z_t(i,j) - z_b(i,j)) + wt_R*(z_t(i+1,j) - z_b(i+1,j)) + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) + dz_x(m,i) = (wt_L*(z_t(i,j) - z_b(i,j))) + (wt_R*(z_t(i+1,j) - z_b(i+1,j))) pos = i*15+(m-2)*5 - T15(pos+1) = wtT_L*T(i,j) + wtT_R*T(i+1,j) - S15(pos+1) = wtT_L*S(i,j) + wtT_R*S(i+1,j) - p15(pos+1) = -GxRho*((wt_L*z_t(i,j) + wt_R*z_t(i+1,j)) - z0pres) + T15(pos+1) = (wtT_L*T(i,j)) + (wtT_R*T(i+1,j)) + S15(pos+1) = (wtT_L*S(i,j)) + (wtT_R*S(i+1,j)) + p15(pos+1) = -GxRho*(((wt_L*z_t(i,j)) + (wt_R*z_t(i+1,j))) - z0pres) do n=2,5 T15(pos+n) = T15(pos+1) ; S15(pos+n) = S15(pos+1) p15(pos+n) = p15(pos+n-1) + GxRho*0.25*dz_x(m,i) @@ -279,16 +279,16 @@ subroutine int_density_dz_generic_pcm(T, S, z_t, z_b, rho_ref, rho_0, G_e, HI, & if (use_rho_ref) then do m=2,4 pos = i*15+(m-2)*5 - intz(m) = G_e*dz_x(m,i)*( C1_90*( 7.0*(r15(pos+1)+r15(pos+5)) + & + intz(m) = (G_e*dz_x(m,i)*(C1_90*( 7.0*(r15(pos+1)+r15(pos+5)) + & 32.0*(r15(pos+2)+r15(pos+4)) + & - 12.0*r15(pos+3))) + 12.0*r15(pos+3)) )) enddo else do m=2,4 pos = i*15+(m-2)*5 - intz(m) = G_e*dz_x(m,i)*( C1_90*( 7.0*(r15(pos+1)+r15(pos+5)) + & + intz(m) = (G_e*dz_x(m,i)*(C1_90*( 7.0*(r15(pos+1)+r15(pos+5)) + & 32.0*(r15(pos+2)+r15(pos+4)) + & - 12.0*r15(pos+3)) - rho_ref ) + 12.0*r15(pos+3)) - rho_ref )) enddo endif ! Use Boole's rule to integrate the bottom pressure anomaly values in x. @@ -320,12 +320,12 @@ subroutine int_density_dz_generic_pcm(T, S, z_t, z_b, rho_ref, rho_0, G_e, HI, & ! T, S, and z are interpolated in the horizontal. The z interpolation ! is linear, but for T and S it may be thickness weighted. wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR - dz_y(m,i) = wt_L*(z_t(i,j) - z_b(i,j)) + wt_R*(z_t(i,j+1) - z_b(i,j+1)) + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) + dz_y(m,i) = (wt_L*(z_t(i,j) - z_b(i,j))) + (wt_R*(z_t(i,j+1) - z_b(i,j+1))) pos = i*15+(m-2)*5 - T15(pos+1) = wtT_L*T(i,j) + wtT_R*T(i,j+1) - S15(pos+1) = wtT_L*S(i,j) + wtT_R*S(i,j+1) - p15(pos+1) = -GxRho*((wt_L*z_t(i,j) + wt_R*z_t(i,j+1)) - z0pres) + T15(pos+1) = (wtT_L*T(i,j)) + (wtT_R*T(i,j+1)) + S15(pos+1) = (wtT_L*S(i,j)) + (wtT_R*S(i,j+1)) + p15(pos+1) = -GxRho*(((wt_L*z_t(i,j)) + (wt_R*z_t(i,j+1))) - z0pres) do n=2,5 T15(pos+n) = T15(pos+1) ; S15(pos+n) = S15(pos+1) p15(pos+n) = p15(pos+n-1) + GxRho*0.25*dz_y(m,i) @@ -347,13 +347,13 @@ subroutine int_density_dz_generic_pcm(T, S, z_t, z_b, rho_ref, rho_0, G_e, HI, & do m=2,4 pos = i*15+(m-2)*5 if (use_rho_ref) then - intz(m) = G_e*dz_y(m,i)*( C1_90*(7.0*(r15(pos+1)+r15(pos+5)) + & + intz(m) = (G_e*dz_y(m,i)*(C1_90*(7.0*(r15(pos+1)+r15(pos+5)) + & 32.0*(r15(pos+2)+r15(pos+4)) + & - 12.0*r15(pos+3))) + 12.0*r15(pos+3)) )) else - intz(m) = G_e*dz_y(m,i)*( C1_90*(7.0*(r15(pos+1)+r15(pos+5)) + & + intz(m) = (G_e*dz_y(m,i)*(C1_90*(7.0*(r15(pos+1)+r15(pos+5)) + & 32.0*(r15(pos+2)+r15(pos+4)) + & - 12.0*r15(pos+3)) - rho_ref ) + 12.0*r15(pos+3)) - rho_ref )) endif enddo ! Use Boole's rule to integrate the values. @@ -600,20 +600,20 @@ subroutine int_density_dz_generic_plm(k, tv, T_t, T_b, S_t, S_b, e, rho_ref, & do m=2,4 w_left = wt_t(m) ; w_right = wt_b(m) - dz_x(m,i) = w_left*(e(i,j,K) - e(i,j,K+1)) + w_right*(e(i+1,j,K) - e(i+1,j,K+1)) + dz_x(m,i) = (w_left*(e(i,j,K) - e(i,j,K+1))) + (w_right*(e(i+1,j,K) - e(i+1,j,K+1))) ! Salinity and temperature points are linearly interpolated in ! the horizontal. The subscript (1) refers to the top value in ! the vertical profile while subscript (5) refers to the bottom ! value in the vertical profile. pos = i*15+(m-2)*5 - T15(pos+1) = w_left*Ttl + w_right*Ttr - T15(pos+5) = w_left*Tbl + w_right*Tbr + T15(pos+1) = (w_left*Ttl) + (w_right*Ttr) + T15(pos+5) = (w_left*Tbl) + (w_right*Tbr) - S15(pos+1) = w_left*Stl + w_right*Str - S15(pos+5) = w_left*Sbl + w_right*Sbr + S15(pos+1) = (w_left*Stl) + (w_right*Str) + S15(pos+5) = (w_left*Sbl) + (w_right*Sbr) - p15(pos+1) = -GxRho*((w_left*e(i,j,K) + w_right*e(i+1,j,K)) - z0pres) + p15(pos+1) = -GxRho*(((w_left*e(i,j,K)) + (w_right*e(i+1,j,K))) - z0pres) ! Pressure do n=2,5 @@ -625,9 +625,9 @@ subroutine int_density_dz_generic_plm(k, tv, T_t, T_b, S_t, S_b, e, rho_ref, & S15(pos+n) = wt_t(n) * S15(pos+1) + wt_b(n) * S15(pos+5) T15(pos+n) = wt_t(n) * T15(pos+1) + wt_b(n) * T15(pos+5) enddo - if (use_varT) T215(pos+1:pos+5) = w_left*tv%varT(i,j,k) + w_right*tv%varT(i+1,j,k) - if (use_covarTS) TS15(pos+1:pos+5) = w_left*tv%covarTS(i,j,k) + w_right*tv%covarTS(i+1,j,k) - if (use_varS) S215(pos+1:pos+5) = w_left*tv%varS(i,j,k) + w_right*tv%varS(i+1,j,k) + if (use_varT) T215(pos+1:pos+5) = (w_left*tv%varT(i,j,k)) + (w_right*tv%varT(i+1,j,k)) + if (use_covarTS) TS15(pos+1:pos+5) = (w_left*tv%covarTS(i,j,k)) + (w_right*tv%covarTS(i+1,j,k)) + if (use_varS) S215(pos+1:pos+5) = (w_left*tv%varS(i,j,k)) + (w_right*tv%varS(i+1,j,k)) enddo enddo @@ -648,14 +648,14 @@ subroutine int_density_dz_generic_plm(k, tv, T_t, T_b, S_t, S_b, e, rho_ref, & if (use_rho_ref) then do m = 2,4 pos = i*15+(m-2)*5 - intz(m) = G_e*dz_x(m,i)*( C1_90*(7.0*(r15(pos+1)+r15(pos+5)) + 32.0*(r15(pos+2)+r15(pos+4)) + & - 12.0*r15(pos+3)) ) + intz(m) = (G_e*dz_x(m,i)*( C1_90*(7.0*(r15(pos+1)+r15(pos+5)) + 32.0*(r15(pos+2)+r15(pos+4)) + & + 12.0*r15(pos+3)) )) enddo else do m = 2,4 pos = i*15+(m-2)*5 - intz(m) = G_e*dz_x(m,i)*( C1_90*(7.0*(r15(pos+1)+r15(pos+5)) + 32.0*(r15(pos+2)+r15(pos+4)) + & - 12.0*r15(pos+3)) - rho_ref ) + intz(m) = (G_e*dz_x(m,i)*( C1_90*(7.0*(r15(pos+1)+r15(pos+5)) + 32.0*(r15(pos+2)+r15(pos+4)) + & + 12.0*r15(pos+3)) - rho_ref )) enddo endif ! Use Boole's rule to integrate the bottom pressure anomaly values in x. @@ -696,20 +696,20 @@ subroutine int_density_dz_generic_plm(k, tv, T_t, T_b, S_t, S_b, e, rho_ref, & do m=2,4 w_left = wt_t(m) ; w_right = wt_b(m) - dz_y(m,i) = w_left*(e(i,j,K) - e(i,j,K+1)) + w_right*(e(i,j+1,K) - e(i,j+1,K+1)) + dz_y(m,i) = (w_left*(e(i,j,K) - e(i,j,K+1))) + (w_right*(e(i,j+1,K) - e(i,j+1,K+1))) ! Salinity and temperature points are linearly interpolated in ! the horizontal. The subscript (1) refers to the top value in ! the vertical profile while subscript (5) refers to the bottom ! value in the vertical profile. pos = i*15+(m-2)*5 - T15(pos+1) = w_left*Ttl + w_right*Ttr - T15(pos+5) = w_left*Tbl + w_right*Tbr + T15(pos+1) = (w_left*Ttl) + (w_right*Ttr) + T15(pos+5) = (w_left*Tbl) + (w_right*Tbr) - S15(pos+1) = w_left*Stl + w_right*Str - S15(pos+5) = w_left*Sbl + w_right*Sbr + S15(pos+1) = (w_left*Stl) + (w_right*Str) + S15(pos+5) = (w_left*Sbl) + (w_right*Sbr) - p15(pos+1) = -GxRho*((w_left*e(i,j,K) + w_right*e(i,j+1,K)) - z0pres) + p15(pos+1) = -GxRho*(((w_left*e(i,j,K)) + (w_right*e(i,j+1,K))) - z0pres) ! Pressure do n=2,5 @@ -721,9 +721,9 @@ subroutine int_density_dz_generic_plm(k, tv, T_t, T_b, S_t, S_b, e, rho_ref, & S15(pos+n) = wt_t(n) * S15(pos+1) + wt_b(n) * S15(pos+5) T15(pos+n) = wt_t(n) * T15(pos+1) + wt_b(n) * T15(pos+5) enddo - if (use_varT) T215(pos+1:pos+5) = w_left*tv%varT(i,j,k) + w_right*tv%varT(i,j+1,k) - if (use_covarTS) TS15(pos+1:pos+5) = w_left*tv%covarTS(i,j,k) + w_right*tv%covarTS(i,j+1,k) - if (use_varS) S215(pos+1:pos+5) = w_left*tv%varS(i,j,k) + w_right*tv%varS(i,j+1,k) + if (use_varT) T215(pos+1:pos+5) = (w_left*tv%varT(i,j,k)) + (w_right*tv%varT(i,j+1,k)) + if (use_covarTS) TS15(pos+1:pos+5) = (w_left*tv%covarTS(i,j,k)) + (w_right*tv%covarTS(i,j+1,k)) + if (use_varS) S215(pos+1:pos+5) = (w_left*tv%varS(i,j,k)) + (w_right*tv%varS(i,j+1,k)) enddo enddo @@ -748,16 +748,16 @@ subroutine int_density_dz_generic_plm(k, tv, T_t, T_b, S_t, S_b, e, rho_ref, & if (use_rho_ref) then do m = 2,4 pos = i*15+(m-2)*5 - intz(m) = G_e*dz_y(m,i)*( C1_90*(7.0*(r15(pos+1)+r15(pos+5)) + & + intz(m) = (G_e*dz_y(m,i)*( C1_90*(7.0*(r15(pos+1)+r15(pos+5)) + & 32.0*(r15(pos+2)+r15(pos+4)) + & - 12.0*r15(pos+3)) ) + 12.0*r15(pos+3)) )) enddo else do m = 2,4 pos = i*15+(m-2)*5 - intz(m) = G_e*dz_y(m,i)*( C1_90*(7.0*(r15(pos+1)+r15(pos+5)) + & + intz(m) = (G_e*dz_y(m,i)*( C1_90*(7.0*(r15(pos+1)+r15(pos+5)) + & 32.0*(r15(pos+2)+r15(pos+4)) + & - 12.0*r15(pos+3)) - rho_ref ) + 12.0*r15(pos+3)) - rho_ref )) enddo endif ! Use Boole's rule to integrate the values. @@ -1004,19 +1004,19 @@ subroutine int_density_dz_generic_ppm(k, tv, T_t, T_b, S_t, S_b, e, & ! the horizontal. The subscript (1) refers to the top value in ! the vertical profile while subscript (5) refers to the bottom ! value in the vertical profile. - T_top = w_left*Ttl + w_right*Ttr - T_mn = w_left*Tml + w_right*Tmr - T_bot = w_left*Tbl + w_right*Tbr + T_top = (w_left*Ttl) + (w_right*Ttr) + T_mn = (w_left*Tml) + (w_right*Tmr) + T_bot = (w_left*Tbl) + (w_right*Tbr) - S_top = w_left*Stl + w_right*Str - S_mn = w_left*Sml + w_right*Smr - S_bot = w_left*Sbl + w_right*Sbr + S_top = (w_left*Stl) + (w_right*Str) + S_mn = (w_left*Sml) + (w_right*Smr) + S_bot = (w_left*Sbl) + (w_right*Sbr) ! Pressure - dz_x(m,i) = w_left*(e(i,j,K) - e(i,j,K+1)) + w_right*(e(i+1,j,K) - e(i+1,j,K+1)) + dz_x(m,i) = (w_left*(e(i,j,K) - e(i,j,K+1))) + (w_right*(e(i+1,j,K) - e(i+1,j,K+1))) pos = i*15+(m-2)*5 - p15(pos+1) = -GxRho*((w_left*e(i,j,K) + w_right*e(i+1,j,K)) - z0pres) + p15(pos+1) = -GxRho*(((w_left*e(i,j,K)) + (w_right*e(i+1,j,K))) - z0pres) do n=2,5 p15(pos+n) = p15(pos+n-1) + GxRho*0.25*dz_x(m,i) enddo @@ -1032,9 +1032,9 @@ subroutine int_density_dz_generic_ppm(k, tv, T_t, T_b, S_t, S_b, e, & T15(pos+n) = wt_t(n) * T_top + wt_b(n) * ( T_bot + t6 * wt_t(n) ) enddo if (use_stanley_eos) then - if (use_varT) T215(pos+1:pos+5) = w_left*tv%varT(i,j,k) + w_right*tv%varT(i+1,j,k) - if (use_covarTS) TS15(pos+1:pos+5) = w_left*tv%covarTS(i,j,k) + w_right*tv%covarTS(i+1,j,k) - if (use_varS) S215(pos+1:pos+5) = w_left*tv%varS(i,j,k) + w_right*tv%varS(i+1,j,k) + if (use_varT) T215(pos+1:pos+5) = (w_left*tv%varT(i,j,k)) + (w_right*tv%varT(i+1,j,k)) + if (use_covarTS) TS15(pos+1:pos+5) = (w_left*tv%covarTS(i,j,k)) + (w_right*tv%covarTS(i+1,j,k)) + if (use_varS) S215(pos+1:pos+5) = (w_left*tv%varS(i,j,k)) + (w_right*tv%varS(i+1,j,k)) endif if (use_stanley_eos) then call calculate_density(T5, S5, p5, T25, TS5, S25, r5, EOS, rho_ref=rho_ref) @@ -1054,9 +1054,9 @@ subroutine int_density_dz_generic_ppm(k, tv, T_t, T_b, S_t, S_b, e, & do m=2,4 pos = i*15+(m-2)*5 ! Use Boole's rule to estimate the pressure anomaly change. - intz(m) = G_e*dz_x(m,i)*( C1_90*( 7.0*(r15(pos+1)+r15(pos+5)) + & + intz(m) = (G_e*dz_x(m,i)*(C1_90*( 7.0*(r15(pos+1)+r15(pos+5)) + & 32.0*(r15(pos+2)+r15(pos+4)) + & - 12.0*r15(pos+3)) ) + 12.0*r15(pos+3)) )) enddo ! m intz(1) = dpa(i,j) ; intz(5) = dpa(i+1,j) @@ -1109,19 +1109,19 @@ subroutine int_density_dz_generic_ppm(k, tv, T_t, T_b, S_t, S_b, e, & ! the horizontal. The subscript (1) refers to the top value in ! the vertical profile while subscript (5) refers to the bottom ! value in the vertical profile. - T_top = w_left*Ttl + w_right*Ttr - T_mn = w_left*Tml + w_right*Tmr - T_bot = w_left*Tbl + w_right*Tbr + T_top = (w_left*Ttl) + (w_right*Ttr) + T_mn = (w_left*Tml) + (w_right*Tmr) + T_bot = (w_left*Tbl) + (w_right*Tbr) - S_top = w_left*Stl + w_right*Str - S_mn = w_left*Sml + w_right*Smr - S_bot = w_left*Sbl + w_right*Sbr + S_top = (w_left*Stl) + (w_right*Str) + S_mn = (w_left*Sml) + (w_right*Smr) + S_bot = (w_left*Sbl) + (w_right*Sbr) ! Pressure - dz_y(m,i) = w_left*(e(i,j,K) - e(i,j,K+1)) + w_right*(e(i,j+1,K) - e(i,j+1,K+1)) + dz_y(m,i) = (w_left*(e(i,j,K) - e(i,j,K+1))) + (w_right*(e(i,j+1,K) - e(i,j+1,K+1))) pos = i*15+(m-2)*5 - p15(pos+1) = -GxRho*((w_left*e(i,j,K) + w_right*e(i,j+1,K)) - z0pres) + p15(pos+1) = -GxRho*(((w_left*e(i,j,K)) + (w_right*e(i,j+1,K))) - z0pres) do n=2,5 p15(pos+n) = p15(pos+n-1) + GxRho*0.25*dz_y(m,i) enddo @@ -1138,9 +1138,9 @@ subroutine int_density_dz_generic_ppm(k, tv, T_t, T_b, S_t, S_b, e, & enddo if (use_stanley_eos) then - if (use_varT) T215(pos+1:pos+5) = w_left*tv%varT(i,j,k) + w_right*tv%varT(i,j+1,k) - if (use_covarTS) TS15(pos+1:pos+5) = w_left*tv%covarTS(i,j,k) + w_right*tv%covarTS(i,j+1,k) - if (use_varS) S215(pos+1:pos+5) = w_left*tv%varS(i,j,k) + w_right*tv%varS(i,j+1,k) + if (use_varT) T215(pos+1:pos+5) = (w_left*tv%varT(i,j,k)) + (w_right*tv%varT(i,j+1,k)) + if (use_covarTS) TS15(pos+1:pos+5) = (w_left*tv%covarTS(i,j,k)) + (w_right*tv%covarTS(i,j+1,k)) + if (use_varS) S215(pos+1:pos+5) = (w_left*tv%varS(i,j,k)) + (w_right*tv%varS(i,j+1,k)) endif enddo enddo @@ -1158,9 +1158,9 @@ subroutine int_density_dz_generic_ppm(k, tv, T_t, T_b, S_t, S_b, e, & do m=2,4 ! Use Boole's rule to estimate the pressure anomaly change. pos = i*15+(m-2)*5 - intz(m) = G_e*dz_y(m,i)*( C1_90*( 7.0*(r15(pos+1)+r15(pos+5)) + & + intz(m) = (G_e*dz_y(m,i)*(C1_90*( 7.0*(r15(pos+1)+r15(pos+5)) + & 32.0*(r15(pos+2)+r15(pos+4)) + & - 12.0*r15(pos+3)) ) + 12.0*r15(pos+3)) )) enddo ! m intz(1) = dpa(i,j) ; intz(5) = dpa(i,j+1) @@ -1381,15 +1381,15 @@ subroutine int_spec_vol_dp_generic_pcm(T, S, p_t, p_b, alpha_ref, HI, EOS, US, d do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) pos = i*15+(m-2)*5 ! T, S, and p are interpolated in the horizontal. The p interpolation ! is linear, but for T and S it may be thickness weighted. - p15(pos+1) = wt_L*p_b(i,j) + wt_R*p_b(i+1,j) - dp_x(m,I) = wt_L*(p_b(i,j) - p_t(i,j)) + wt_R*(p_b(i+1,j) - p_t(i+1,j)) - T15(pos+1) = wtT_L*T(i,j) + wtT_R*T(i+1,j) - S15(pos+1) = wtT_L*S(i,j) + wtT_R*S(i+1,j) + p15(pos+1) = (wt_L*p_b(i,j)) + (wt_R*p_b(i+1,j)) + dp_x(m,I) = (wt_L*(p_b(i,j) - p_t(i,j))) + (wt_R*(p_b(i+1,j) - p_t(i+1,j))) + T15(pos+1) = (wtT_L*T(i,j)) + (wtT_R*T(i+1,j)) + S15(pos+1) = (wtT_L*S(i,j)) + (wtT_R*S(i+1,j)) do n=2,5 T15(pos+n) = T15(pos+1) ; S15(pos+n) = S15(pos+1) @@ -1406,8 +1406,8 @@ subroutine int_spec_vol_dp_generic_pcm(T, S, p_t, p_b, alpha_ref, HI, EOS, US, d ! Use Boole's rule to estimate the interface height anomaly change. do m=2,4 pos = i*15+(m-2)*5 - intp(m) = dp_x(m,I)*( C1_90*(7.0*(a15(pos+1)+a15(pos+5)) + 32.0*(a15(pos+2)+a15(pos+4)) + & - 12.0*a15(pos+3))) + intp(m) = (dp_x(m,I)*( C1_90*(7.0*(a15(pos+1)+a15(pos+5)) + 32.0*(a15(pos+2)+a15(pos+4)) + & + 12.0*a15(pos+3)) )) enddo ! Use Boole's rule to integrate the interface height anomaly values in x. intx_dza(i,j) = C1_90*(7.0*(intp(1)+intp(5)) + 32.0*(intp(2)+intp(4)) + & @@ -1436,15 +1436,15 @@ subroutine int_spec_vol_dp_generic_pcm(T, S, p_t, p_b, alpha_ref, HI, EOS, US, d do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) pos = i*15+(m-2)*5 ! T, S, and p are interpolated in the horizontal. The p interpolation ! is linear, but for T and S it may be thickness weighted. - p15(pos+1) = wt_L*p_b(i,j) + wt_R*p_b(i,j+1) - dp_y(m,i) = wt_L*(p_b(i,j) - p_t(i,j)) + wt_R*(p_b(i,j+1) - p_t(i,j+1)) - T15(pos+1) = wtT_L*T(i,j) + wtT_R*T(i,j+1) - S15(pos+1) = wtT_L*S(i,j) + wtT_R*S(i,j+1) + p15(pos+1) = (wt_L*p_b(i,j)) + (wt_R*p_b(i,j+1)) + dp_y(m,i) = (wt_L*(p_b(i,j) - p_t(i,j))) + (wt_R*(p_b(i,j+1) - p_t(i,j+1))) + T15(pos+1) = (wtT_L*T(i,j)) + (wtT_R*T(i,j+1)) + S15(pos+1) = (wtT_L*S(i,j)) + (wtT_R*S(i,j+1)) do n=2,5 T15(pos+n) = T15(pos+1) ; S15(pos+n) = S15(pos+1) p15(pos+n) = p15(pos+n-1) - 0.25*dp_y(m,i) @@ -1461,8 +1461,8 @@ subroutine int_spec_vol_dp_generic_pcm(T, S, p_t, p_b, alpha_ref, HI, EOS, US, d ! Use Boole's rule to estimate the interface height anomaly change. do m=2,4 pos = i*15+(m-2)*5 - intp(m) = dp_y(m,i)*( C1_90*(7.0*(a15(pos+1)+a15(pos+5)) + 32.0*(a15(pos+2)+a15(pos+4)) + & - 12.0*a15(pos+3))) + intp(m) = (dp_y(m,i)*( C1_90*(7.0*(a15(pos+1)+a15(pos+5)) + 32.0*(a15(pos+2)+a15(pos+4)) + & + 12.0*a15(pos+3)) )) enddo ! Use Boole's rule to integrate the interface height anomaly values in y. inty_dza(i,j) = C1_90*(7.0*(intp(1)+intp(5)) + 32.0*(intp(2)+intp(4)) + & @@ -1622,16 +1622,16 @@ subroutine int_spec_vol_dp_generic_plm(T_t, T_b, S_t, S_b, p_t, p_b, alpha_ref, do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) ! T, S, and p are interpolated in the horizontal. The p interpolation ! is linear, but for T and S it may be thickness weighted. - P_top = wt_L*p_t(i,j) + wt_R*p_t(i+1,j) - P_bot = wt_L*p_b(i,j) + wt_R*p_b(i+1,j) - T_top = wtT_L*T_t(i,j) + wtT_R*T_t(i+1,j) - T_bot = wtT_L*T_b(i,j) + wtT_R*T_b(i+1,j) - S_top = wtT_L*S_t(i,j) + wtT_R*S_t(i+1,j) - S_bot = wtT_L*S_b(i,j) + wtT_R*S_b(i+1,j) + P_top = (wt_L*p_t(i,j)) + (wt_R*p_t(i+1,j)) + P_bot = (wt_L*p_b(i,j)) + (wt_R*p_b(i+1,j)) + T_top = (wtT_L*T_t(i,j)) + (wtT_R*T_t(i+1,j)) + T_bot = (wtT_L*T_b(i,j)) + (wtT_R*T_b(i+1,j)) + S_top = (wtT_L*S_t(i,j)) + (wtT_R*S_t(i+1,j)) + S_bot = (wtT_L*S_b(i,j)) + (wtT_R*S_b(i+1,j)) dp_90(m,I) = C1_90*(P_bot - P_top) ! Salinity, temperature and pressure with linear interpolation in the vertical. @@ -1652,8 +1652,8 @@ subroutine int_spec_vol_dp_generic_plm(T_t, T_b, S_t, S_b, p_t, p_b, alpha_ref, ! Use Boole's rule to estimate the interface height anomaly change. ! The integrals at the ends of the segment are already known. pos = I*15+(m-2)*5 - intp(m) = dp_90(m,I)*((7.0*(a15(pos+1)+a15(pos+5)) + & - 32.0*(a15(pos+2)+a15(pos+4))) + 12.0*a15(pos+3)) + intp(m) = (dp_90(m,I)*((7.0*(a15(pos+1)+a15(pos+5)) + & + 32.0*(a15(pos+2)+a15(pos+4))) + 12.0*a15(pos+3) )) enddo ! Use Boole's rule to integrate the interface height anomaly values in x. intx_dza(I,j) = C1_90*((7.0*(intp(1)+intp(5)) + 32.0*(intp(2)+intp(4))) + & @@ -1683,16 +1683,16 @@ subroutine int_spec_vol_dp_generic_plm(T_t, T_b, S_t, S_b, p_t, p_b, alpha_ref, do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) ! T, S, and p are interpolated in the horizontal. The p interpolation ! is linear, but for T and S it may be thickness weighted. - P_top = wt_L*p_t(i,j) + wt_R*p_t(i,j+1) - P_bot = wt_L*p_b(i,j) + wt_R*p_b(i,j+1) - T_top = wtT_L*T_t(i,j) + wtT_R*T_t(i,j+1) - T_bot = wtT_L*T_b(i,j) + wtT_R*T_b(i,j+1) - S_top = wtT_L*S_t(i,j) + wtT_R*S_t(i,j+1) - S_bot = wtT_L*S_b(i,j) + wtT_R*S_b(i,j+1) + P_top = (wt_L*p_t(i,j)) + (wt_R*p_t(i,j+1)) + P_bot = (wt_L*p_b(i,j)) + (wt_R*p_b(i,j+1)) + T_top = (wtT_L*T_t(i,j)) + (wtT_R*T_t(i,j+1)) + T_bot = (wtT_L*T_b(i,j)) + (wtT_R*T_b(i,j+1)) + S_top = (wtT_L*S_t(i,j)) + (wtT_R*S_t(i,j+1)) + S_bot = (wtT_L*S_b(i,j)) + (wtT_R*S_b(i,j+1)) dp_90(m,i) = C1_90*(P_bot - P_top) ! Salinity, temperature and pressure with linear interpolation in the vertical. @@ -1714,8 +1714,8 @@ subroutine int_spec_vol_dp_generic_plm(T_t, T_b, S_t, S_b, p_t, p_b, alpha_ref, ! Use Boole's rule to estimate the interface height anomaly change. ! The integrals at the ends of the segment are already known. pos = i*15+(m-2)*5 - intp(m) = dp_90(m,i) * ((7.0*(a15(pos+1)+a15(pos+5)) + & - 32.0*(a15(pos+2)+a15(pos+4))) + 12.0*a15(pos+3)) + intp(m) = (dp_90(m,i) * ((7.0*(a15(pos+1)+a15(pos+5)) + & + 32.0*(a15(pos+2)+a15(pos+4))) + 12.0*a15(pos+3))) enddo ! Use Boole's rule to integrate the interface height anomaly values in x. inty_dza(i,J) = C1_90*((7.0*(intp(1)+intp(5)) + 32.0*(intp(2)+intp(4))) + & diff --git a/src/core/MOM_forcing_type.F90 b/src/core/MOM_forcing_type.F90 index 72c67253ed..02855c9fe6 100644 --- a/src/core/MOM_forcing_type.F90 +++ b/src/core/MOM_forcing_type.F90 @@ -2425,13 +2425,13 @@ subroutine set_derived_forcing_fields(forces, fluxes, G, US, Rho0) do j=js,je ; do i=is,ie taux2 = 0.0 if ((G%mask2dCu(I-1,j) + G%mask2dCu(I,j)) > 0.0) & - taux2 = (G%mask2dCu(I-1,j) * forces%taux(I-1,j)**2 + & - G%mask2dCu(I,j) * forces%taux(I,j)**2) / & + taux2 = (G%mask2dCu(I-1,j) * (forces%taux(I-1,j)**2) + & + G%mask2dCu(I,j) * (forces%taux(I,j)**2)) / & (G%mask2dCu(I-1,j) + G%mask2dCu(I,j)) tauy2 = 0.0 if ((G%mask2dCv(i,J-1) + G%mask2dCv(i,J)) > 0.0) & - tauy2 = (G%mask2dCv(i,J-1) * forces%tauy(i,J-1)**2 + & - G%mask2dCv(i,J) * forces%tauy(i,J)**2) / & + tauy2 = (G%mask2dCv(i,J-1) * (forces%tauy(i,J-1)**2) + & + G%mask2dCv(i,J) * (forces%tauy(i,J)**2)) / & (G%mask2dCv(i,J-1) + G%mask2dCv(i,J)) if (associated(fluxes%ustar_gustless)) then @@ -3822,7 +3822,7 @@ subroutine homogenize_mech_forcing(forces, G, US, Rho0, UpdateUstar) if (G%mask2dCv(i,J) > 0.0) forces%tauy(i,J) = ty_mean enddo ; enddo if (tau2ustar) then - tau_mag = sqrt(tx_mean**2 + ty_mean**2) + tau_mag = sqrt((tx_mean**2) + (ty_mean**2)) if (associated(forces%tau_mag)) then ; do j=js,je ; do i=is,ie ; if (G%mask2dT(i,j) > 0.0) then forces%tau_mag(i,j) = tau_mag endif ; enddo ; enddo ; endif diff --git a/src/core/MOM_grid.F90 b/src/core/MOM_grid.F90 index 52e37f1a9b..6fb8426395 100644 --- a/src/core/MOM_grid.F90 +++ b/src/core/MOM_grid.F90 @@ -171,7 +171,8 @@ module MOM_grid Dblock_v, & !< Topographic depths at v-points at which the flow is blocked [Z ~> m]. Dopen_v !< Topographic depths at v-points at which the flow is open at width dx_Cv [Z ~> m]. real ALLOCABLE_, dimension(NIMEMB_PTR_,NJMEMB_PTR_) :: & - CoriolisBu !< The Coriolis parameter at corner points [T-1 ~> s-1]. + CoriolisBu, & !< The Coriolis parameter at corner points [T-1 ~> s-1]. + Coriolis2Bu !< The square of the Coriolis parameter at corner points [T-2 ~> s-2]. real ALLOCABLE_, dimension(NIMEM_,NJMEM_) :: & df_dx, & !< Derivative d/dx f (Coriolis parameter) at h-points [T-1 L-1 ~> s-1 m-1]. df_dy !< Derivative d/dy f (Coriolis parameter) at h-points [T-1 L-1 ~> s-1 m-1]. @@ -581,6 +582,7 @@ subroutine allocate_metrics(G) ALLOC_(G%bathyT(isd:ied, jsd:jed)) ; G%bathyT(:,:) = -G%Z_ref ALLOC_(G%CoriolisBu(IsdB:IedB, JsdB:JedB)) ; G%CoriolisBu(:,:) = 0.0 + ALLOC_(G%Coriolis2Bu(IsdB:IedB, JsdB:JedB)) ; G%Coriolis2Bu(:,:) = 0.0 ALLOC_(G%dF_dx(isd:ied, jsd:jed)) ; G%dF_dx(:,:) = 0.0 ALLOC_(G%dF_dy(isd:ied, jsd:jed)) ; G%dF_dy(:,:) = 0.0 @@ -626,8 +628,8 @@ subroutine MOM_grid_end(G) DEALLOC_(G%dx_Cv) ; DEALLOC_(G%dy_Cu) - DEALLOC_(G%bathyT) ; DEALLOC_(G%CoriolisBu) - DEALLOC_(G%dF_dx) ; DEALLOC_(G%dF_dy) + DEALLOC_(G%bathyT) ; DEALLOC_(G%CoriolisBu) ; DEALLOC_(G%Coriolis2Bu) + DEALLOC_(G%dF_dx) ; DEALLOC_(G%dF_dy) DEALLOC_(G%sin_rot) ; DEALLOC_(G%cos_rot) DEALLOC_(G%porous_DminU) ; DEALLOC_(G%porous_DmaxU) ; DEALLOC_(G%porous_DavgU) diff --git a/src/core/MOM_isopycnal_slopes.F90 b/src/core/MOM_isopycnal_slopes.F90 index 9defa597ab..ede5137cb6 100644 --- a/src/core/MOM_isopycnal_slopes.F90 +++ b/src/core/MOM_isopycnal_slopes.F90 @@ -334,7 +334,7 @@ subroutine calc_isoneutral_slopes(G, GV, US, h, e, tv, dt_kappa_smooth, use_stan wtA = hg2A*haB ; wtB = hg2B*haA wtL = hg2L*(haR*dzaR) ; wtR = hg2R*(haL*dzaL) - drdz = (wtL * drdkL + wtR * drdkR) / (dzaL*wtL + dzaR*wtR) + drdz = ((wtL * drdkL) + (wtR * drdkR)) / ((dzaL*wtL) + (dzaR*wtR)) ! The expression for drdz above is mathematically equivalent to: ! drdz = ((hg2L/haL) * drdkL/dzaL + (hg2R/haR) * drdkR/dzaR) / & ! ((hg2L/haL) + (hg2R/haR)) @@ -376,8 +376,8 @@ subroutine calc_isoneutral_slopes(G, GV, US, h, e, tv, dt_kappa_smooth, use_stan endif slope_x(I,j,K) = slope if (present(dzSxN)) & - dzSxN(I,j,K) = sqrt( GxSpV_u(I) * max(0., wtL * ( dzaL * drdkL ) & - + wtR * ( dzaR * drdkR )) / (wtL + wtR) ) & ! dz * N + dzSxN(I,j,K) = sqrt( GxSpV_u(I) * max(0., (wtL * ( dzaL * drdkL )) & + + (wtR * ( dzaR * drdkR ))) / (wtL + wtR) ) & ! dz * N * abs(slope) * G%mask2dCu(I,j) ! x-direction contribution to S^2 enddo ! I @@ -485,7 +485,7 @@ subroutine calc_isoneutral_slopes(G, GV, US, h, e, tv, dt_kappa_smooth, use_stan wtA = hg2A*haB ; wtB = hg2B*haA wtL = hg2L*(haR*dzaR) ; wtR = hg2R*(haL*dzaL) - drdz = (wtL * drdkL + wtR * drdkR) / (dzaL*wtL + dzaR*wtR) + drdz = ((wtL * drdkL) + (wtR * drdkR)) / ((dzaL*wtL) + (dzaR*wtR)) ! The expression for drdz above is mathematically equivalent to: ! drdz = ((hg2L/haL) * drdkL/dzaL + (hg2R/haR) * drdkR/dzaR) / & ! ((hg2L/haL) + (hg2R/haR)) @@ -527,8 +527,8 @@ subroutine calc_isoneutral_slopes(G, GV, US, h, e, tv, dt_kappa_smooth, use_stan endif slope_y(i,J,K) = slope if (present(dzSyN)) & - dzSyN(i,J,K) = sqrt( GxSpV_v(i) * max(0., wtL * ( dzaL * drdkL ) & - + wtR * ( dzaR * drdkR )) / (wtL + wtR) ) & ! dz * N + dzSyN(i,J,K) = sqrt( GxSpV_v(i) * max(0., (wtL * ( dzaL * drdkL )) & + + (wtR * ( dzaR * drdkR ))) / (wtL + wtR) ) & ! dz * N * abs(slope) * G%mask2dCv(i,J) ! x-direction contribution to S^2 enddo ! i diff --git a/src/core/MOM_open_boundary.F90 b/src/core/MOM_open_boundary.F90 index 8394735cb9..4dcbad4388 100644 --- a/src/core/MOM_open_boundary.F90 +++ b/src/core/MOM_open_boundary.F90 @@ -2359,7 +2359,7 @@ subroutine radiation_open_bdry_conds(OBC, u_new, u_old, v_new, v_old, G, GV, US, dhdy = segment%grad_normal(J,1,k) endif if (dhdt*dhdx < 0.0) dhdt = 0.0 - cff_new = max(dhdx*dhdx + dhdy*dhdy, eps) + cff_new = max((dhdx*dhdx) + (dhdy*dhdy), eps) rx_new = min(dhdt*dhdx, cff_new*rx_max) ry_new = min(cff_new,max(dhdt*dhdy,-cff_new)) if (gamma_u < 1.0) then @@ -2501,7 +2501,7 @@ subroutine radiation_open_bdry_conds(OBC, u_new, u_old, v_new, v_old, G, GV, US, dhdy = segment%grad_tan(j+1,1,k) endif if (dhdt*dhdx < 0.0) dhdt = 0.0 - cff_new = max(dhdx*dhdx + dhdy*dhdy, eps) + cff_new = max((dhdx*dhdx) + (dhdy*dhdy), eps) rx_new = min(dhdt*dhdx, cff_new*rx_max) ry_new = min(cff_new,max(dhdt*dhdy,-cff_new)) rx_tang_obl(I,J,k) = rx_new @@ -2604,7 +2604,7 @@ subroutine radiation_open_bdry_conds(OBC, u_new, u_old, v_new, v_old, G, GV, US, endif if (dhdt*dhdx < 0.0) dhdt = 0.0 - cff_new = max(dhdx*dhdx + dhdy*dhdy, eps) + cff_new = max((dhdx*dhdx) + (dhdy*dhdy), eps) rx_new = min(dhdt*dhdx, cff_new*rx_max) ry_new = min(cff_new,max(dhdt*dhdy,-cff_new)) if (gamma_u < 1.0) then @@ -2746,7 +2746,7 @@ subroutine radiation_open_bdry_conds(OBC, u_new, u_old, v_new, v_old, G, GV, US, dhdy = segment%grad_tan(j+1,1,k) endif if (dhdt*dhdx < 0.0) dhdt = 0.0 - cff_new = max(dhdx*dhdx + dhdy*dhdy, eps) + cff_new = max((dhdx*dhdx) + (dhdy*dhdy), eps) rx_new = min(dhdt*dhdx, cff_new*rx_max) ry_new = min(cff_new,max(dhdt*dhdy,-cff_new)) rx_tang_obl(I,J,k) = rx_new @@ -2848,7 +2848,7 @@ subroutine radiation_open_bdry_conds(OBC, u_new, u_old, v_new, v_old, G, GV, US, dhdx = segment%grad_normal(I,1,k) endif if (dhdt*dhdy < 0.0) dhdt = 0.0 - cff_new = max(dhdx*dhdx + dhdy*dhdy, eps) + cff_new = max((dhdx*dhdx) + (dhdy*dhdy), eps) ry_new = min(dhdt*dhdy, cff_new*ry_max) rx_new = min(cff_new,max(dhdt*dhdx,-cff_new)) if (gamma_u < 1.0) then @@ -2990,7 +2990,7 @@ subroutine radiation_open_bdry_conds(OBC, u_new, u_old, v_new, v_old, G, GV, US, dhdx = segment%grad_tan(i+1,1,k) endif if (dhdt*dhdy < 0.0) dhdt = 0.0 - cff_new = max(dhdx*dhdx + dhdy*dhdy, eps) + cff_new = max((dhdx*dhdx) + (dhdy*dhdy), eps) ry_new = min(dhdt*dhdy, cff_new*ry_max) rx_new = min(cff_new,max(dhdt*dhdx,-cff_new)) rx_tang_obl(I,J,k) = rx_new @@ -3093,7 +3093,7 @@ subroutine radiation_open_bdry_conds(OBC, u_new, u_old, v_new, v_old, G, GV, US, endif if (dhdt*dhdy < 0.0) dhdt = 0.0 - cff_new = max(dhdx*dhdx + dhdy*dhdy, eps) + cff_new = max((dhdx*dhdx) + (dhdy*dhdy), eps) ry_new = min(dhdt*dhdy, cff_new*ry_max) rx_new = min(cff_new,max(dhdt*dhdx,-cff_new)) if (gamma_u < 1.0) then @@ -3235,7 +3235,7 @@ subroutine radiation_open_bdry_conds(OBC, u_new, u_old, v_new, v_old, G, GV, US, dhdx = segment%grad_tan(i+1,1,k) endif if (dhdt*dhdy < 0.0) dhdt = 0.0 - cff_new = max(dhdx*dhdx + dhdy*dhdy, eps) + cff_new = max((dhdx*dhdx) + (dhdy*dhdy), eps) ry_new = min(dhdt*dhdy, cff_new*ry_max) rx_new = min(cff_new,max(dhdt*dhdx,-cff_new)) rx_tang_obl(I,J,k) = rx_new @@ -3435,9 +3435,9 @@ subroutine gradient_at_q_points(G, GV, segment, uvel, vvel) do k=1,GV%ke do J=max(segment%HI%jsd, G%HI%jsd+1),min(segment%HI%jed, G%HI%jed-1) segment%grad_gradient(j,1,k) = (((vvel(i-1,J,k) - vvel(i-2,J,k))*G%IdxBu(I-2,J)) - & - (vvel(i-1,J-1,k) - vvel(i-2,J-1,k))*G%IdxBu(I-2,J-1)) * G%mask2dCu(I-2,j) + ((vvel(i-1,J-1,k) - vvel(i-2,J-1,k))*G%IdxBu(I-2,J-1))) * G%mask2dCu(I-2,j) segment%grad_gradient(j,2,k) = (((vvel(i,J,k) - vvel(i-1,J,k))*G%IdxBu(I-1,J)) - & - (vvel(i,J-1,k) - vvel(i-1,J-1,k))*G%IdxBu(I-1,J-1)) * G%mask2dCu(I-1,j) + ((vvel(i,J-1,k) - vvel(i-1,J-1,k))*G%IdxBu(I-1,J-1))) * G%mask2dCu(I-1,j) enddo enddo endif @@ -3461,9 +3461,9 @@ subroutine gradient_at_q_points(G, GV, segment, uvel, vvel) do k=1,GV%ke do J=max(segment%HI%jsd, G%HI%jsd+1),min(segment%HI%jed, G%HI%jed-1) segment%grad_gradient(j,1,k) = (((vvel(i+3,J,k) - vvel(i+2,J,k))*G%IdxBu(I+2,J)) - & - (vvel(i+3,J-1,k) - vvel(i+2,J-1,k))*G%IdxBu(I+2,J-1)) * G%mask2dCu(I+2,j) + ((vvel(i+3,J-1,k) - vvel(i+2,J-1,k))*G%IdxBu(I+2,J-1))) * G%mask2dCu(I+2,j) segment%grad_gradient(j,2,k) = (((vvel(i+2,J,k) - vvel(i+1,J,k))*G%IdxBu(I+1,J)) - & - (vvel(i+2,J-1,k) - vvel(i+1,J-1,k))*G%IdxBu(I+1,J-1)) * G%mask2dCu(I+1,j) + ((vvel(i+2,J-1,k) - vvel(i+1,J-1,k))*G%IdxBu(I+1,J-1))) * G%mask2dCu(I+1,j) enddo enddo endif @@ -3489,9 +3489,9 @@ subroutine gradient_at_q_points(G, GV, segment, uvel, vvel) do k=1,GV%ke do I=max(segment%HI%isd, G%HI%isd+1),min(segment%HI%ied, G%HI%ied-1) segment%grad_gradient(i,1,k) = (((uvel(I,j-1,k) - uvel(I,j-2,k))*G%IdyBu(I,J-2)) - & - (uvel(I-1,j-1,k) - uvel(I-1,j-2,k))*G%IdyBu(I-1,J-2)) * G%mask2dCv(i,J-2) + ((uvel(I-1,j-1,k) - uvel(I-1,j-2,k))*G%IdyBu(I-1,J-2))) * G%mask2dCv(i,J-2) segment%grad_gradient(i,2,k) = (((uvel(I,j,k) - uvel(I,j-1,k))*G%IdyBu(I,J-1)) - & - (uvel(I-1,j,k) - uvel(I-1,j-1,k))*G%IdyBu(I-1,J-1)) * G%mask2dCv(i,J-1) + ((uvel(I-1,j,k) - uvel(I-1,j-1,k))*G%IdyBu(I-1,J-1))) * G%mask2dCv(i,J-1) enddo enddo endif @@ -3515,9 +3515,9 @@ subroutine gradient_at_q_points(G, GV, segment, uvel, vvel) do k=1,GV%ke do I=max(segment%HI%isd, G%HI%isd+1),min(segment%HI%ied, G%HI%ied-1) segment%grad_gradient(i,1,k) = (((uvel(I,j+3,k) - uvel(I,j+2,k))*G%IdyBu(I,J+2)) - & - (uvel(I-1,j+3,k) - uvel(I-1,j+2,k))*G%IdyBu(I-1,J+2)) * G%mask2dCv(i,J+2) + ((uvel(I-1,j+3,k) - uvel(I-1,j+2,k))*G%IdyBu(I-1,J+2))) * G%mask2dCv(i,J+2) segment%grad_gradient(i,2,k) = (((uvel(I,j+2,k) - uvel(I,j+1,k))*G%IdyBu(I,J+1)) - & - (uvel(I-1,j+2,k) - uvel(I-1,j+1,k))*G%IdyBu(I-1,J+1)) * G%mask2dCv(i,J+1) + ((uvel(I-1,j+2,k) - uvel(I-1,j+1,k))*G%IdyBu(I-1,J+1))) * G%mask2dCv(i,J+1) enddo enddo endif diff --git a/src/core/MOM_stoch_eos.F90 b/src/core/MOM_stoch_eos.F90 index 2bd742be6d..909c2e9a6a 100644 --- a/src/core/MOM_stoch_eos.F90 +++ b/src/core/MOM_stoch_eos.F90 @@ -100,7 +100,7 @@ logical function MOM_stoch_eos_init(Time, G, GV, US, param_file, diag, CS, resta ! fill array with approximation of grid area needed for decorrelation time-scale calculation do j=G%jsc,G%jec do i=G%isc,G%iec - CS%l2_inv(i,j) = 1.0/(G%dxT(i,j)**2+G%dyT(i,j)**2) + CS%l2_inv(i,j) = 1.0 / ( (G%dxT(i,j)**2) + (G%dyT(i,j)**2) ) enddo enddo @@ -173,7 +173,7 @@ subroutine MOM_stoch_eos_run(G, u, v, delt, Time, CS) do i=G%isc,G%iec ubar = 0.5*(u(I,j,1)*G%mask2dCu(I,j)+u(I-1,j,1)*G%mask2dCu(I-1,j)) vbar = 0.5*(v(i,J,1)*G%mask2dCv(i,J)+v(i,J-1,1)*G%mask2dCv(i,J-1)) - phi = exp(-delt*CS%tfac*sqrt((ubar**2+vbar**2)*CS%l2_inv(i,j))) + phi = exp(-delt*CS%tfac * sqrt(((ubar**2) + (vbar**2))*CS%l2_inv(i,j))) CS%pattern(i,j) = phi*CS%pattern(i,j) + CS%amplitude*sqrt(1-phi**2)*CS%rgauss(i,j) CS%phi(i,j) = phi enddo @@ -233,12 +233,12 @@ subroutine MOM_calc_varT(G, GV, US, h, tv, CS, dt) hl(5) = h(i,j+1,k) * G%mask2dCv(i,J) ! SGS variance in i-direction [C2 ~> degC2] - dTdi2 = ( ( G%mask2dCu(I ,j) * G%IdxCu(I ,j) * ( T(i+1,j,k) - T(i,j,k) ) & - + G%mask2dCu(I-1,j) * G%IdxCu(I-1,j) * ( T(i,j,k) - T(i-1,j,k) ) & + dTdi2 = ( ( G%mask2dCu(I ,j) * (G%IdxCu(I ,j) * ( T(i+1,j,k) - T(i,j,k) )) & + + G%mask2dCu(I-1,j) * (G%IdxCu(I-1,j) * ( T(i,j,k) - T(i-1,j,k) )) & ) * G%dxT(i,j) * 0.5 )**2 ! SGS variance in j-direction [C2 ~> degC2] - dTdj2 = ( ( G%mask2dCv(i,J ) * G%IdyCv(i,J ) * ( T(i,j+1,k) - T(i,j,k) ) & - + G%mask2dCv(i,J-1) * G%IdyCv(i,J-1) * ( T(i,j,k) - T(i,j-1,k) ) & + dTdj2 = ( ( G%mask2dCv(i,J ) * (G%IdyCv(i,J ) * ( T(i,j+1,k) - T(i,j,k) )) & + + G%mask2dCv(i,J-1) * (G%IdyCv(i,J-1) * ( T(i,j,k) - T(i,j-1,k) )) & ) * G%dyT(i,j) * 0.5 )**2 tv%varT(i,j,k) = CS%stanley_coeff * ( dTdi2 + dTdj2 ) ! Turn off scheme near land diff --git a/src/core/MOM_transcribe_grid.F90 b/src/core/MOM_transcribe_grid.F90 index b8e213fa62..f8ae58d9e1 100644 --- a/src/core/MOM_transcribe_grid.F90 +++ b/src/core/MOM_transcribe_grid.F90 @@ -105,6 +105,7 @@ subroutine copy_dyngrid_to_MOM_grid(dG, oG, US) oG%dyBu(I,J) = dG%dyBu(I+ido,J+jdo) oG%areaBu(I,J) = dG%areaBu(I+ido,J+jdo) oG%CoriolisBu(I,J) = dG%CoriolisBu(I+ido,J+jdo) + oG%Coriolis2Bu(I,J) = dG%Coriolis2Bu(I+ido,J+jdo) oG%mask2dBu(I,J) = dG%mask2dBu(I+ido,J+jdo) enddo ; enddo @@ -165,6 +166,7 @@ subroutine copy_dyngrid_to_MOM_grid(dG, oG, US) call pass_var(oG%geoLatBu, oG%Domain, position=CORNER) call pass_vector(oG%dxBu, oG%dyBu, oG%Domain, To_All+Scalar_Pair, BGRID_NE) call pass_var(oG%CoriolisBu, oG%Domain, position=CORNER) + call pass_var(oG%Coriolis2Bu, oG%Domain, position=CORNER) call pass_var(oG%mask2dBu, oG%Domain, position=CORNER) if (oG%bathymetry_at_vel) then @@ -263,6 +265,7 @@ subroutine copy_MOM_grid_to_dyngrid(oG, dG, US) dG%dyBu(I,J) = oG%dyBu(I+ido,J+jdo) dG%areaBu(I,J) = oG%areaBu(I+ido,J+jdo) dG%CoriolisBu(I,J) = oG%CoriolisBu(I+ido,J+jdo) + dG%Coriolis2Bu(I,J) = oG%Coriolis2Bu(I+ido,J+jdo) dG%mask2dBu(I,J) = oG%mask2dBu(I+ido,J+jdo) enddo ; enddo @@ -324,6 +327,7 @@ subroutine copy_MOM_grid_to_dyngrid(oG, dG, US) call pass_var(dG%geoLatBu, dG%Domain, position=CORNER) call pass_vector(dG%dxBu, dG%dyBu, dG%Domain, To_All+Scalar_Pair, BGRID_NE) call pass_var(dG%CoriolisBu, dG%Domain, position=CORNER) + call pass_var(dG%Coriolis2Bu, dG%Domain, position=CORNER) call pass_var(dG%mask2dBu, dG%Domain, position=CORNER) if (dG%bathymetry_at_vel) then diff --git a/src/diagnostics/MOM_diagnostics.F90 b/src/diagnostics/MOM_diagnostics.F90 index fd8057c38f..3376dc9be8 100644 --- a/src/diagnostics/MOM_diagnostics.F90 +++ b/src/diagnostics/MOM_diagnostics.F90 @@ -679,13 +679,13 @@ subroutine calculate_diagnostic_fields(u, v, h, uh, vh, tv, ADp, CDp, p_surf, & do j=js,je ; do i=is,ie ! Blend the equatorial deformation radius with the standard one. f2_h = absurdly_small_freq2 + 0.25 * & - ((G%CoriolisBu(I,J)**2 + G%CoriolisBu(I-1,J-1)**2) + & - (G%CoriolisBu(I-1,J)**2 + G%CoriolisBu(I,J-1)**2)) + ((G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I-1,J-1)) + & + (G%Coriolis2Bu(I-1,J) + G%Coriolis2Bu(I,J-1))) mag_beta = sqrt(0.5 * ( & - (((G%CoriolisBu(I,J)-G%CoriolisBu(I-1,J)) * G%IdxCv(i,J))**2 + & - ((G%CoriolisBu(I,J-1)-G%CoriolisBu(I-1,J-1)) * G%IdxCv(i,J-1))**2) + & - (((G%CoriolisBu(I,J)-G%CoriolisBu(I,J-1)) * G%IdyCu(I,j))**2 + & - ((G%CoriolisBu(I-1,J)-G%CoriolisBu(I-1,J-1)) * G%IdyCu(I-1,j))**2) )) + ((((G%CoriolisBu(I,J)-G%CoriolisBu(I-1,J)) * G%IdxCv(i,J))**2) + & + (((G%CoriolisBu(I,J-1)-G%CoriolisBu(I-1,J-1)) * G%IdxCv(i,J-1))**2)) + & + ((((G%CoriolisBu(I,J)-G%CoriolisBu(I,J-1)) * G%IdyCu(I,j))**2) + & + (((G%CoriolisBu(I-1,J)-G%CoriolisBu(I-1,J-1)) * G%IdyCu(I-1,j))**2)) )) Rd1(i,j) = cg1(i,j) / sqrt(f2_h + cg1(i,j) * mag_beta) enddo ; enddo @@ -729,13 +729,13 @@ subroutine calculate_diagnostic_fields(u, v, h, uh, vh, tv, ADp, CDp, p_surf, & do j=js,je ; do i=is,ie ! Blend the equatorial deformation radius with the standard one. f2_h = absurdly_small_freq2 + 0.25 * & - ((G%CoriolisBu(I,J)**2 + G%CoriolisBu(I-1,J-1)**2) + & - (G%CoriolisBu(I-1,J)**2 + G%CoriolisBu(I,J-1)**2)) + ((G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I-1,J-1)) + & + (G%Coriolis2Bu(I-1,J) + G%Coriolis2Bu(I,J-1))) mag_beta = sqrt(0.5 * ( & - (((G%CoriolisBu(I,J)-G%CoriolisBu(I-1,J)) * G%IdxCv(i,J))**2 + & - ((G%CoriolisBu(I,J-1)-G%CoriolisBu(I-1,J-1)) * G%IdxCv(i,J-1))**2) + & - (((G%CoriolisBu(I,J)-G%CoriolisBu(I,J-1)) * G%IdyCu(I,j))**2 + & - ((G%CoriolisBu(I-1,J)-G%CoriolisBu(I-1,J-1)) * G%IdyCu(I-1,j))**2) )) + ((((G%CoriolisBu(I,J)-G%CoriolisBu(I-1,J)) * G%IdxCv(i,J))**2) + & + (((G%CoriolisBu(I,J-1)-G%CoriolisBu(I-1,J-1)) * G%IdxCv(i,J-1))**2)) + & + ((((G%CoriolisBu(I,J)-G%CoriolisBu(I,J-1)) * G%IdyCu(I,j))**2) + & + (((G%CoriolisBu(I-1,J)-G%CoriolisBu(I-1,J-1)) * G%IdyCu(I-1,j))**2)) )) Rd1(i,j) = cg1(i,j) / sqrt(f2_h + cg1(i,j) * mag_beta) enddo ; enddo @@ -975,8 +975,8 @@ subroutine calculate_energy_diagnostics(u, v, h, uh, vh, ADp, CDp, G, GV, US, CS enddo ; enddo do k=1,nz ; do j=js,je ; do i=is,ie - KE(i,j,k) = ((u(I,j,k) * u(I,j,k) + u(I-1,j,k) * u(I-1,j,k)) & - + (v(i,J,k) * v(i,J,k) + v(i,J-1,k) * v(i,J-1,k))) * 0.25 + KE(i,j,k) = (((u(I,j,k) * u(I,j,k)) + (u(I-1,j,k) * u(I-1,j,k))) & + + ((v(i,J,k) * v(i,J,k)) + (v(i,J-1,k) * v(i,J-1,k)))) * 0.25 enddo ; enddo ; enddo if (CS%id_KE > 0) call post_data(CS%id_KE, KE, CS%diag) @@ -1301,8 +1301,8 @@ subroutine post_surface_dyn_diags(IDs, G, diag, sfc_state, ssh) if (IDs%id_speed > 0) then do j=js,je ; do i=is,ie - speed(i,j) = sqrt(0.5*(sfc_state%u(I-1,j)**2 + sfc_state%u(I,j)**2) + & - 0.5*(sfc_state%v(i,J-1)**2 + sfc_state%v(i,J)**2)) + speed(i,j) = sqrt(0.5*((sfc_state%u(I-1,j)**2) + (sfc_state%u(I,j)**2)) + & + 0.5*((sfc_state%v(i,J-1)**2) + (sfc_state%v(i,J)**2))) enddo ; enddo call post_data(IDs%id_speed, speed, diag, mask=G%mask2dT) endif diff --git a/src/diagnostics/MOM_sum_output.F90 b/src/diagnostics/MOM_sum_output.F90 index fb95b79a91..736856d75f 100644 --- a/src/diagnostics/MOM_sum_output.F90 +++ b/src/diagnostics/MOM_sum_output.F90 @@ -683,7 +683,7 @@ subroutine write_energy(u, v, h, tv, day, n, G, GV, US, CS, tracer_CSp, dt_forci tmp1(:,:,:) = 0.0 do k=1,nz ; do j=js,je ; do i=is,ie tmp1(i,j,k) = (0.25 * KE_scale_factor * (areaTm(i,j) * h(i,j,k))) * & - ((u(I-1,j,k)**2 + u(I,j,k)**2) + (v(i,J-1,k)**2 + v(i,J,k)**2)) + (((u(I-1,j,k)**2) + (u(I,j,k)**2)) + ((v(i,J-1,k)**2) + (v(i,J,k)**2))) enddo ; enddo ; enddo KE_tot = reproducing_sum(tmp1, isr, ier, jsr, jer, sums=KE) diff --git a/src/equation_of_state/MOM_EOS_Wright.F90 b/src/equation_of_state/MOM_EOS_Wright.F90 index d4b091b7b2..38eeab7c81 100644 --- a/src/equation_of_state/MOM_EOS_Wright.F90 +++ b/src/equation_of_state/MOM_EOS_Wright.F90 @@ -578,14 +578,14 @@ subroutine int_density_dz_wright(T, S, z_t, z_b, rho_ref, rho_0, G_e, HI, & intz(1) = dpa(i,j) ; intz(5) = dpa(i+1,j) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) - al0 = wtT_L*al0_2d(i,j) + wtT_R*al0_2d(i+1,j) - p0 = wtT_L*p0_2d(i,j) + wtT_R*p0_2d(i+1,j) - lambda = wtT_L*lambda_2d(i,j) + wtT_R*lambda_2d(i+1,j) + al0 = (wtT_L*al0_2d(i,j)) + (wtT_R*al0_2d(i+1,j)) + p0 = (wtT_L*p0_2d(i,j)) + (wtT_R*p0_2d(i+1,j)) + lambda = (wtT_L*lambda_2d(i,j)) + (wtT_R*lambda_2d(i+1,j)) - dz = wt_L*(z_t(i,j) - z_b(i,j)) + wt_R*(z_t(i+1,j) - z_b(i+1,j)) - p_ave = -GxRho*(0.5*(wt_L*(z_t(i,j)+z_b(i,j)) + wt_R*(z_t(i+1,j)+z_b(i+1,j))) - z0pres) + dz = (wt_L*(z_t(i,j) - z_b(i,j))) + (wt_R*(z_t(i+1,j) - z_b(i+1,j))) + p_ave = -GxRho*(0.5*((wt_L*(z_t(i,j)+z_b(i,j))) + (wt_R*(z_t(i+1,j)+z_b(i+1,j)))) - z0pres) I_al0 = 1.0 / al0 I_Lzz = 1.0 / (p0 + (lambda * I_al0) + p_ave) @@ -619,14 +619,14 @@ subroutine int_density_dz_wright(T, S, z_t, z_b, rho_ref, rho_0, G_e, HI, & intz(1) = dpa(i,j) ; intz(5) = dpa(i,j+1) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) - al0 = wtT_L*al0_2d(i,j) + wtT_R*al0_2d(i,j+1) - p0 = wtT_L*p0_2d(i,j) + wtT_R*p0_2d(i,j+1) - lambda = wtT_L*lambda_2d(i,j) + wtT_R*lambda_2d(i,j+1) + al0 = (wtT_L*al0_2d(i,j)) + (wtT_R*al0_2d(i,j+1)) + p0 = (wtT_L*p0_2d(i,j)) + (wtT_R*p0_2d(i,j+1)) + lambda = (wtT_L*lambda_2d(i,j)) + (wtT_R*lambda_2d(i,j+1)) - dz = wt_L*(z_t(i,j) - z_b(i,j)) + wt_R*(z_t(i,j+1) - z_b(i,j+1)) - p_ave = -GxRho*(0.5*(wt_L*(z_t(i,j)+z_b(i,j)) + wt_R*(z_t(i,j+1)+z_b(i,j+1))) - z0pres) + dz = (wt_L*(z_t(i,j) - z_b(i,j))) + (wt_R*(z_t(i,j+1) - z_b(i,j+1))) + p_ave = -GxRho*(0.5*((wt_L*(z_t(i,j)+z_b(i,j))) + (wt_R*(z_t(i,j+1)+z_b(i,j+1)))) - z0pres) I_al0 = 1.0 / al0 I_Lzz = 1.0 / (p0 + (lambda * I_al0) + p_ave) @@ -818,16 +818,16 @@ subroutine int_spec_vol_dp_wright(T, S, p_t, p_b, spv_ref, HI, dza, & intp(1) = dza(i,j) ; intp(5) = dza(i+1,j) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) ! T, S and p are interpolated in the horizontal. The p interpolation ! is linear, but for T and S it may be thickness weighted. - al0 = wtT_L*al0_2d(i,j) + wtT_R*al0_2d(i+1,j) - p0 = wtT_L*p0_2d(i,j) + wtT_R*p0_2d(i+1,j) - lambda = wtT_L*lambda_2d(i,j) + wtT_R*lambda_2d(i+1,j) + al0 = (wtT_L*al0_2d(i,j)) + (wtT_R*al0_2d(i+1,j)) + p0 = (wtT_L*p0_2d(i,j)) + (wtT_R*p0_2d(i+1,j)) + lambda = (wtT_L*lambda_2d(i,j)) + (wtT_R*lambda_2d(i+1,j)) - dp = wt_L*(p_b(i,j) - p_t(i,j)) + wt_R*(p_b(i+1,j) - p_t(i+1,j)) - p_ave = 0.5*(wt_L*(p_t(i,j)+p_b(i,j)) + wt_R*(p_t(i+1,j)+p_b(i+1,j))) + dp = (wt_L*(p_b(i,j) - p_t(i,j))) + (wt_R*(p_b(i+1,j) - p_t(i+1,j))) + p_ave = 0.5*((wt_L*(p_t(i,j)+p_b(i,j))) + (wt_R*(p_t(i+1,j)+p_b(i+1,j)))) eps = 0.5 * dp / (p0 + p_ave) ; eps2 = eps*eps intp(m) = (al0 + lambda / (p0 + p_ave) - spv_ref)*dp + 2.0*eps* & @@ -859,16 +859,16 @@ subroutine int_spec_vol_dp_wright(T, S, p_t, p_b, spv_ref, HI, dza, & intp(1) = dza(i,j) ; intp(5) = dza(i,j+1) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) ! T, S and p are interpolated in the horizontal. The p interpolation ! is linear, but for T and S it may be thickness weighted. - al0 = wt_L*al0_2d(i,j) + wt_R*al0_2d(i,j+1) - p0 = wt_L*p0_2d(i,j) + wt_R*p0_2d(i,j+1) - lambda = wt_L*lambda_2d(i,j) + wt_R*lambda_2d(i,j+1) + al0 = (wt_L*al0_2d(i,j)) + (wt_R*al0_2d(i,j+1)) + p0 = (wt_L*p0_2d(i,j)) + (wt_R*p0_2d(i,j+1)) + lambda = (wt_L*lambda_2d(i,j)) + (wt_R*lambda_2d(i,j+1)) - dp = wt_L*(p_b(i,j) - p_t(i,j)) + wt_R*(p_b(i,j+1) - p_t(i,j+1)) - p_ave = 0.5*(wt_L*(p_t(i,j)+p_b(i,j)) + wt_R*(p_t(i,j+1)+p_b(i,j+1))) + dp = (wt_L*(p_b(i,j) - p_t(i,j))) + (wt_R*(p_b(i,j+1) - p_t(i,j+1))) + p_ave = 0.5*((wt_L*(p_t(i,j)+p_b(i,j))) + (wt_R*(p_t(i,j+1)+p_b(i,j+1)))) eps = 0.5 * dp / (p0 + p_ave) ; eps2 = eps*eps intp(m) = (al0 + lambda / (p0 + p_ave) - spv_ref)*dp + 2.0*eps* & diff --git a/src/equation_of_state/MOM_EOS_Wright_full.F90 b/src/equation_of_state/MOM_EOS_Wright_full.F90 index 31b82e6190..41d3608db7 100644 --- a/src/equation_of_state/MOM_EOS_Wright_full.F90 +++ b/src/equation_of_state/MOM_EOS_Wright_full.F90 @@ -583,14 +583,14 @@ subroutine int_density_dz_wright_full(T, S, z_t, z_b, rho_ref, rho_0, G_e, HI, & intz(1) = dpa(i,j) ; intz(5) = dpa(i+1,j) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) - al0 = wtT_L*al0_2d(i,j) + wtT_R*al0_2d(i+1,j) - p0 = wtT_L*p0_2d(i,j) + wtT_R*p0_2d(i+1,j) - lambda = wtT_L*lambda_2d(i,j) + wtT_R*lambda_2d(i+1,j) + al0 = (wtT_L*al0_2d(i,j)) + (wtT_R*al0_2d(i+1,j)) + p0 = (wtT_L*p0_2d(i,j)) + (wtT_R*p0_2d(i+1,j)) + lambda = (wtT_L*lambda_2d(i,j)) + (wtT_R*lambda_2d(i+1,j)) - dz = wt_L*(z_t(i,j) - z_b(i,j)) + wt_R*(z_t(i+1,j) - z_b(i+1,j)) - p_ave = -GxRho*(0.5*(wt_L*(z_t(i,j)+z_b(i,j)) + wt_R*(z_t(i+1,j)+z_b(i+1,j))) - z0pres) + dz = (wt_L*(z_t(i,j) - z_b(i,j))) + (wt_R*(z_t(i+1,j) - z_b(i+1,j))) + p_ave = -GxRho*(0.5*((wt_L*(z_t(i,j)+z_b(i,j))) + (wt_R*(z_t(i+1,j)+z_b(i+1,j)))) - z0pres) I_al0 = 1.0 / al0 I_Lzz = 1.0 / ((p0 + p_ave) + lambda * I_al0) @@ -624,14 +624,14 @@ subroutine int_density_dz_wright_full(T, S, z_t, z_b, rho_ref, rho_0, G_e, HI, & intz(1) = dpa(i,j) ; intz(5) = dpa(i,j+1) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) - al0 = wtT_L*al0_2d(i,j) + wtT_R*al0_2d(i,j+1) - p0 = wtT_L*p0_2d(i,j) + wtT_R*p0_2d(i,j+1) - lambda = wtT_L*lambda_2d(i,j) + wtT_R*lambda_2d(i,j+1) + al0 = (wtT_L*al0_2d(i,j)) + (wtT_R*al0_2d(i,j+1)) + p0 = (wtT_L*p0_2d(i,j)) + (wtT_R*p0_2d(i,j+1)) + lambda = (wtT_L*lambda_2d(i,j)) + (wtT_R*lambda_2d(i,j+1)) - dz = wt_L*(z_t(i,j) - z_b(i,j)) + wt_R*(z_t(i,j+1) - z_b(i,j+1)) - p_ave = -GxRho*(0.5*(wt_L*(z_t(i,j)+z_b(i,j)) + wt_R*(z_t(i,j+1)+z_b(i,j+1))) - z0pres) + dz = (wt_L*(z_t(i,j) - z_b(i,j))) + (wt_R*(z_t(i,j+1) - z_b(i,j+1))) + p_ave = -GxRho*(0.5*((wt_L*(z_t(i,j)+z_b(i,j))) + (wt_R*(z_t(i,j+1)+z_b(i,j+1)))) - z0pres) I_al0 = 1.0 / al0 I_Lzz = 1.0 / ((p0 + p_ave) + lambda * I_al0) @@ -825,16 +825,16 @@ subroutine int_spec_vol_dp_wright_full(T, S, p_t, p_b, spv_ref, HI, dza, & intp(1) = dza(i,j) ; intp(5) = dza(i+1,j) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) ! T, S, and p are interpolated in the horizontal. The p interpolation ! is linear, but for T and S it may be thickness weighted. - al0 = wtT_L*al0_2d(i,j) + wtT_R*al0_2d(i+1,j) - p0 = wtT_L*p0_2d(i,j) + wtT_R*p0_2d(i+1,j) - lambda = wtT_L*lambda_2d(i,j) + wtT_R*lambda_2d(i+1,j) + al0 = (wtT_L*al0_2d(i,j)) + (wtT_R*al0_2d(i+1,j)) + p0 = (wtT_L*p0_2d(i,j)) + (wtT_R*p0_2d(i+1,j)) + lambda = (wtT_L*lambda_2d(i,j)) + (wtT_R*lambda_2d(i+1,j)) - dp = wt_L*(p_b(i,j) - p_t(i,j)) + wt_R*(p_b(i+1,j) - p_t(i+1,j)) - p_ave = 0.5*(wt_L*(p_t(i,j)+p_b(i,j)) + wt_R*(p_t(i+1,j)+p_b(i+1,j))) + dp = (wt_L*(p_b(i,j) - p_t(i,j))) + (wt_R*(p_b(i+1,j) - p_t(i+1,j))) + p_ave = 0.5*((wt_L*(p_t(i,j)+p_b(i,j))) + (wt_R*(p_t(i+1,j)+p_b(i+1,j)))) I_pterm = 1.0 / (p0 + p_ave) eps = 0.5 * dp * I_pterm ; eps2 = eps*eps @@ -867,16 +867,16 @@ subroutine int_spec_vol_dp_wright_full(T, S, p_t, p_b, spv_ref, HI, dza, & intp(1) = dza(i,j) ; intp(5) = dza(i,j+1) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) ! T, S, and p are interpolated in the horizontal. The p interpolation ! is linear, but for T and S it may be thickness weighted. - al0 = wt_L*al0_2d(i,j) + wt_R*al0_2d(i,j+1) - p0 = wt_L*p0_2d(i,j) + wt_R*p0_2d(i,j+1) - lambda = wt_L*lambda_2d(i,j) + wt_R*lambda_2d(i,j+1) + al0 = (wt_L*al0_2d(i,j)) + (wt_R*al0_2d(i,j+1)) + p0 = (wt_L*p0_2d(i,j)) + (wt_R*p0_2d(i,j+1)) + lambda = (wt_L*lambda_2d(i,j)) + (wt_R*lambda_2d(i,j+1)) - dp = wt_L*(p_b(i,j) - p_t(i,j)) + wt_R*(p_b(i,j+1) - p_t(i,j+1)) - p_ave = 0.5*(wt_L*(p_t(i,j)+p_b(i,j)) + wt_R*(p_t(i,j+1)+p_b(i,j+1))) + dp = (wt_L*(p_b(i,j) - p_t(i,j))) + (wt_R*(p_b(i,j+1) - p_t(i,j+1))) + p_ave = 0.5*((wt_L*(p_t(i,j)+p_b(i,j))) + (wt_R*(p_t(i,j+1)+p_b(i,j+1)))) I_pterm = 1.0 / (p0 + p_ave) eps = 0.5 * dp * I_pterm ; eps2 = eps*eps diff --git a/src/equation_of_state/MOM_EOS_Wright_red.F90 b/src/equation_of_state/MOM_EOS_Wright_red.F90 index 65bdb9e521..dc637e6700 100644 --- a/src/equation_of_state/MOM_EOS_Wright_red.F90 +++ b/src/equation_of_state/MOM_EOS_Wright_red.F90 @@ -585,14 +585,14 @@ subroutine int_density_dz_wright_red(T, S, z_t, z_b, rho_ref, rho_0, G_e, HI, & intz(1) = dpa(i,j) ; intz(5) = dpa(i+1,j) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) - al0 = wtT_L*al0_2d(i,j) + wtT_R*al0_2d(i+1,j) - p0 = wtT_L*p0_2d(i,j) + wtT_R*p0_2d(i+1,j) - lambda = wtT_L*lambda_2d(i,j) + wtT_R*lambda_2d(i+1,j) + al0 = (wtT_L*al0_2d(i,j)) + (wtT_R*al0_2d(i+1,j)) + p0 = (wtT_L*p0_2d(i,j)) + (wtT_R*p0_2d(i+1,j)) + lambda = (wtT_L*lambda_2d(i,j)) + (wtT_R*lambda_2d(i+1,j)) - dz = wt_L*(z_t(i,j) - z_b(i,j)) + wt_R*(z_t(i+1,j) - z_b(i+1,j)) - p_ave = -GxRho*(0.5*(wt_L*(z_t(i,j)+z_b(i,j)) + wt_R*(z_t(i+1,j)+z_b(i+1,j))) - z0pres) + dz = (wt_L*(z_t(i,j) - z_b(i,j))) + (wt_R*(z_t(i+1,j) - z_b(i+1,j))) + p_ave = -GxRho*(0.5*((wt_L*(z_t(i,j)+z_b(i,j))) + (wt_R*(z_t(i+1,j)+z_b(i+1,j)))) - z0pres) I_al0 = 1.0 / al0 I_Lzz = 1.0 / ((p0 + p_ave) + lambda * I_al0) @@ -626,14 +626,14 @@ subroutine int_density_dz_wright_red(T, S, z_t, z_b, rho_ref, rho_0, G_e, HI, & intz(1) = dpa(i,j) ; intz(5) = dpa(i,j+1) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) - al0 = wtT_L*al0_2d(i,j) + wtT_R*al0_2d(i,j+1) - p0 = wtT_L*p0_2d(i,j) + wtT_R*p0_2d(i,j+1) - lambda = wtT_L*lambda_2d(i,j) + wtT_R*lambda_2d(i,j+1) + al0 = (wtT_L*al0_2d(i,j)) + (wtT_R*al0_2d(i,j+1)) + p0 = (wtT_L*p0_2d(i,j)) + (wtT_R*p0_2d(i,j+1)) + lambda = (wtT_L*lambda_2d(i,j)) + (wtT_R*lambda_2d(i,j+1)) - dz = wt_L*(z_t(i,j) - z_b(i,j)) + wt_R*(z_t(i,j+1) - z_b(i,j+1)) - p_ave = -GxRho*(0.5*(wt_L*(z_t(i,j)+z_b(i,j)) + wt_R*(z_t(i,j+1)+z_b(i,j+1))) - z0pres) + dz = (wt_L*(z_t(i,j) - z_b(i,j))) + (wt_R*(z_t(i,j+1) - z_b(i,j+1))) + p_ave = -GxRho*(0.5*((wt_L*(z_t(i,j)+z_b(i,j))) + (wt_R*(z_t(i,j+1)+z_b(i,j+1)))) - z0pres) I_al0 = 1.0 / al0 I_Lzz = 1.0 / ((p0 + p_ave) + lambda * I_al0) @@ -827,16 +827,16 @@ subroutine int_spec_vol_dp_wright_red(T, S, p_t, p_b, spv_ref, HI, dza, & intp(1) = dza(i,j) ; intp(5) = dza(i+1,j) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) ! T, S, and p are interpolated in the horizontal. The p interpolation ! is linear, but for T and S it may be thickness weighted. - al0 = wtT_L*al0_2d(i,j) + wtT_R*al0_2d(i+1,j) - p0 = wtT_L*p0_2d(i,j) + wtT_R*p0_2d(i+1,j) - lambda = wtT_L*lambda_2d(i,j) + wtT_R*lambda_2d(i+1,j) + al0 = (wtT_L*al0_2d(i,j)) + (wtT_R*al0_2d(i+1,j)) + p0 = (wtT_L*p0_2d(i,j)) + (wtT_R*p0_2d(i+1,j)) + lambda = (wtT_L*lambda_2d(i,j)) + (wtT_R*lambda_2d(i+1,j)) - dp = wt_L*(p_b(i,j) - p_t(i,j)) + wt_R*(p_b(i+1,j) - p_t(i+1,j)) - p_ave = 0.5*(wt_L*(p_t(i,j)+p_b(i,j)) + wt_R*(p_t(i+1,j)+p_b(i+1,j))) + dp = (wt_L*(p_b(i,j) - p_t(i,j))) + (wt_R*(p_b(i+1,j) - p_t(i+1,j))) + p_ave = 0.5*((wt_L*(p_t(i,j)+p_b(i,j))) + (wt_R*(p_t(i+1,j)+p_b(i+1,j)))) I_pterm = 1.0 / (p0 + p_ave) eps = 0.5 * dp * I_pterm ; eps2 = eps*eps @@ -869,16 +869,16 @@ subroutine int_spec_vol_dp_wright_red(T, S, p_t, p_b, spv_ref, HI, dza, & intp(1) = dza(i,j) ; intp(5) = dza(i,j+1) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) ! T, S, and p are interpolated in the horizontal. The p interpolation ! is linear, but for T and S it may be thickness weighted. - al0 = wt_L*al0_2d(i,j) + wt_R*al0_2d(i,j+1) - p0 = wt_L*p0_2d(i,j) + wt_R*p0_2d(i,j+1) - lambda = wt_L*lambda_2d(i,j) + wt_R*lambda_2d(i,j+1) + al0 = (wt_L*al0_2d(i,j)) + (wt_R*al0_2d(i,j+1)) + p0 = (wt_L*p0_2d(i,j)) + (wt_R*p0_2d(i,j+1)) + lambda = (wt_L*lambda_2d(i,j)) + (wt_R*lambda_2d(i,j+1)) - dp = wt_L*(p_b(i,j) - p_t(i,j)) + wt_R*(p_b(i,j+1) - p_t(i,j+1)) - p_ave = 0.5*(wt_L*(p_t(i,j)+p_b(i,j)) + wt_R*(p_t(i,j+1)+p_b(i,j+1))) + dp = (wt_L*(p_b(i,j) - p_t(i,j))) + (wt_R*(p_b(i,j+1) - p_t(i,j+1))) + p_ave = 0.5*((wt_L*(p_t(i,j)+p_b(i,j))) + (wt_R*(p_t(i,j+1)+p_b(i,j+1)))) I_pterm = 1.0 / (p0 + p_ave) eps = 0.5 * dp * I_pterm ; eps2 = eps*eps diff --git a/src/equation_of_state/MOM_EOS_linear.F90 b/src/equation_of_state/MOM_EOS_linear.F90 index 8984fbca88..490885aacc 100644 --- a/src/equation_of_state/MOM_EOS_linear.F90 +++ b/src/equation_of_state/MOM_EOS_linear.F90 @@ -356,7 +356,7 @@ subroutine int_density_dz_linear(T, S, z_t, z_b, rho_ref, rho_0_pres, G_e, HI, & raL = (Rho_T0_S0 - rho_ref) + (dRho_dT*T(i,j) + dRho_dS*S(i,j)) raR = (Rho_T0_S0 - rho_ref) + (dRho_dT*T(i+1,j) + dRho_dS*S(i+1,j)) - intx_dpa(i,j) = G_e*C1_6 * (dzL*(2.0*raL + raR) + dzR*(2.0*raR + raL)) + intx_dpa(i,j) = G_e*C1_6 * ((dzL*(2.0*raL + raR)) + (dzR*(2.0*raR + raL))) else hL = (z_t(i,j) - z_b(i,j)) + dz_neglect hR = (z_t(i+1,j) - z_b(i+1,j)) + dz_neglect @@ -368,12 +368,12 @@ subroutine int_density_dz_linear(T, S, z_t, z_b, rho_ref, rho_0_pres, G_e, HI, & intz(1) = dpa(i,j) ; intz(5) = dpa(i+1,j) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) - dz = wt_L*(z_t(i,j) - z_b(i,j)) + wt_R*(z_t(i+1,j) - z_b(i+1,j)) + dz = (wt_L*(z_t(i,j) - z_b(i,j))) + (wt_R*(z_t(i+1,j) - z_b(i+1,j))) rho_anom = (Rho_T0_S0 - rho_ref) + & - (dRho_dT * (wtT_L*T(i,j) + wtT_R*T(i+1,j)) + & - dRho_dS * (wtT_L*S(i,j) + wtT_R*S(i+1,j))) + (dRho_dT * ((wtT_L*T(i,j)) + (wtT_R*T(i+1,j))) + & + dRho_dS * ((wtT_L*S(i,j)) + (wtT_R*S(i+1,j)))) intz(m) = G_e*rho_anom*dz enddo ! Use Boole's rule to integrate the values. @@ -395,7 +395,7 @@ subroutine int_density_dz_linear(T, S, z_t, z_b, rho_ref, rho_0_pres, G_e, HI, & raL = (Rho_T0_S0 - rho_ref) + (dRho_dT*T(i,j) + dRho_dS*S(i,j)) raR = (Rho_T0_S0 - rho_ref) + (dRho_dT*T(i,j+1) + dRho_dS*S(i,j+1)) - inty_dpa(i,j) = G_e*C1_6 * (dzL*(2.0*raL + raR) + dzR*(2.0*raR + raL)) + inty_dpa(i,j) = G_e*C1_6 * ((dzL*(2.0*raL + raR)) + (dzR*(2.0*raR + raL))) else hL = (z_t(i,j) - z_b(i,j)) + dz_neglect hR = (z_t(i,j+1) - z_b(i,j+1)) + dz_neglect @@ -407,12 +407,12 @@ subroutine int_density_dz_linear(T, S, z_t, z_b, rho_ref, rho_0_pres, G_e, HI, & intz(1) = dpa(i,j) ; intz(5) = dpa(i,j+1) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) - dz = wt_L*(z_t(i,j) - z_b(i,j)) + wt_R*(z_t(i,j+1) - z_b(i,j+1)) + dz = (wt_L*(z_t(i,j) - z_b(i,j))) + (wt_R*(z_t(i,j+1) - z_b(i,j+1))) rho_anom = (Rho_T0_S0 - rho_ref) + & - (dRho_dT * (wtT_L*T(i,j) + wtT_R*T(i,j+1)) + & - dRho_dS * (wtT_L*S(i,j) + wtT_R*S(i,j+1))) + (dRho_dT * ((wtT_L*T(i,j)) + (wtT_R*T(i,j+1))) + & + dRho_dS * ((wtT_L*S(i,j)) + (wtT_R*S(i,j+1)))) intz(m) = G_e*rho_anom*dz enddo ! Use Boole's rule to integrate the values. @@ -530,7 +530,7 @@ subroutine int_spec_vol_dp_linear(T, S, p_t, p_b, alpha_ref, HI, Rho_T0_S0, & dRho_TS = dRho_dT*T(i+1,j) + dRho_dS*S(i+1,j) aaR = ((1.0 - Rho_T0_S0*alpha_ref) - dRho_TS*alpha_ref) / (Rho_T0_S0 + dRho_TS) - intx_dza(i,j) = C1_6 * (2.0*(dpL*aaL + dpR*aaR) + (dpL*aaR + dpR*aaL)) + intx_dza(i,j) = C1_6 * (2.0*((dpL*aaL) + (dpR*aaR)) + ((dpL*aaR) + (dpR*aaL))) else hL = (p_b(i,j) - p_t(i,j)) + dP_neglect hR = (p_b(i+1,j) - p_t(i+1,j)) + dP_neglect @@ -542,14 +542,14 @@ subroutine int_spec_vol_dp_linear(T, S, p_t, p_b, alpha_ref, HI, Rho_T0_S0, & intp(1) = dza(i,j) ; intp(5) = dza(i+1,j) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) ! T, S, and p are interpolated in the horizontal. The p interpolation ! is linear, but for T and S it may be thickness weighted. - dp = wt_L*(p_b(i,j) - p_t(i,j)) + wt_R*(p_b(i+1,j) - p_t(i+1,j)) + dp = (wt_L*(p_b(i,j) - p_t(i,j))) + (wt_R*(p_b(i+1,j) - p_t(i+1,j))) - dRho_TS = dRho_dT*(wtT_L*T(i,j) + wtT_R*T(i+1,j)) + & - dRho_dS*(wtT_L*S(i,j) + wtT_R*S(i+1,j)) + dRho_TS = dRho_dT*((wtT_L*T(i,j)) + (wtT_R*T(i+1,j))) + & + dRho_dS*((wtT_L*S(i,j)) + (wtT_R*S(i+1,j))) ! alpha_anom = 1.0/(Rho_T0_S0 + dRho_TS)) - alpha_ref alpha_anom = ((1.0-Rho_T0_S0*alpha_ref) - dRho_TS*alpha_ref) / (Rho_T0_S0 + dRho_TS) intp(m) = alpha_anom*dp @@ -575,7 +575,7 @@ subroutine int_spec_vol_dp_linear(T, S, p_t, p_b, alpha_ref, HI, Rho_T0_S0, & dRho_TS = dRho_dT*T(i,j+1) + dRho_dS*S(i,j+1) aaR = ((1.0 - Rho_T0_S0*alpha_ref) - dRho_TS*alpha_ref) / (Rho_T0_S0 + dRho_TS) - inty_dza(i,j) = C1_6 * (2.0*(dpL*aaL + dpR*aaR) + (dpL*aaR + dpR*aaL)) + inty_dza(i,j) = C1_6 * (2.0*((dpL*aaL) + (dpR*aaR)) + ((dpL*aaR) + (dpR*aaL))) else hL = (p_b(i,j) - p_t(i,j)) + dP_neglect hR = (p_b(i,j+1) - p_t(i,j+1)) + dP_neglect @@ -587,14 +587,14 @@ subroutine int_spec_vol_dp_linear(T, S, p_t, p_b, alpha_ref, HI, Rho_T0_S0, & intp(1) = dza(i,j) ; intp(5) = dza(i,j+1) do m=2,4 wt_L = 0.25*real(5-m) ; wt_R = 1.0-wt_L - wtT_L = wt_L*hWt_LL + wt_R*hWt_RL ; wtT_R = wt_L*hWt_LR + wt_R*hWt_RR + wtT_L = (wt_L*hWt_LL) + (wt_R*hWt_RL) ; wtT_R = (wt_L*hWt_LR) + (wt_R*hWt_RR) ! T, S, and p are interpolated in the horizontal. The p interpolation ! is linear, but for T and S it may be thickness weighted. - dp = wt_L*(p_b(i,j) - p_t(i,j)) + wt_R*(p_b(i,j+1) - p_t(i,j+1)) + dp = (wt_L*(p_b(i,j) - p_t(i,j))) + (wt_R*(p_b(i,j+1) - p_t(i,j+1))) - dRho_TS = dRho_dT*(wtT_L*T(i,j) + wtT_R*T(i,j+1)) + & - dRho_dS*(wtT_L*S(i,j) + wtT_R*S(i,j+1)) + dRho_TS = dRho_dT*((wtT_L*T(i,j)) + (wtT_R*T(i,j+1))) + & + dRho_dS*((wtT_L*S(i,j)) + (wtT_R*S(i,j+1))) ! alpha_anom = 1.0/(Rho_T0_S0 + dRho_TS)) - alpha_ref alpha_anom = ((1.0-Rho_T0_S0*alpha_ref) - dRho_TS*alpha_ref) / (Rho_T0_S0 + dRho_TS) intp(m) = alpha_anom*dp diff --git a/src/framework/MOM_dyn_horgrid.F90 b/src/framework/MOM_dyn_horgrid.F90 index b973b08d4b..987d5bf502 100644 --- a/src/framework/MOM_dyn_horgrid.F90 +++ b/src/framework/MOM_dyn_horgrid.F90 @@ -169,7 +169,8 @@ module MOM_dyn_horgrid Dblock_v, & !< Topographic depths at v-points at which the flow is blocked [Z ~> m]. Dopen_v !< Topographic depths at v-points at which the flow is open at width dx_Cv [Z ~> m]. real, allocatable, dimension(:,:) :: & - CoriolisBu !< The Coriolis parameter at corner points [T-1 ~> s-1]. + CoriolisBu, & !< The Coriolis parameter at corner points [T-1 ~> s-1]. + Coriolis2Bu !< The square of the Coriolis parameter at corner points [T-2 ~> s-2]. real, allocatable, dimension(:,:) :: & df_dx, & !< Derivative d/dx f (Coriolis parameter) at h-points [T-1 L-1 ~> s-1 m-1]. df_dy !< Derivative d/dy f (Coriolis parameter) at h-points [T-1 L-1 ~> s-1 m-1]. @@ -289,6 +290,7 @@ subroutine create_dyn_horgrid(G, HI, bathymetry_at_vel) allocate(G%bathyT(isd:ied, jsd:jed), source=0.0) allocate(G%CoriolisBu(IsdB:IedB, JsdB:JedB), source=0.0) + allocate(G%Coriolis2Bu(IsdB:IedB, JsdB:JedB), source=0.0) allocate(G%dF_dx(isd:ied, jsd:jed), source=0.0) allocate(G%dF_dy(isd:ied, jsd:jed), source=0.0) @@ -360,6 +362,7 @@ subroutine rotate_dyn_horgrid(G_in, G, US, turns) call rotate_array_pair(G_in%dxBu, G_in%dyBu, turns, G%dxBu, G%dyBu) call rotate_array(G_in%areaBu, turns, G%areaBu) call rotate_array(G_in%CoriolisBu, turns, G%CoriolisBu) + call rotate_array(G_in%Coriolis2Bu, turns, G%Coriolis2Bu) call rotate_array(G_in%mask2dBu, turns, G%mask2dBu) ! Topography at the cell faces @@ -528,8 +531,8 @@ subroutine destroy_dyn_horgrid(G) deallocate(G%porous_DminU) ; deallocate(G%porous_DmaxU) ; deallocate(G%porous_DavgU) deallocate(G%porous_DminV) ; deallocate(G%porous_DmaxV) ; deallocate(G%porous_DavgV) - deallocate(G%bathyT) ; deallocate(G%CoriolisBu) - deallocate(G%dF_dx) ; deallocate(G%dF_dy) + deallocate(G%bathyT) ; deallocate(G%CoriolisBu) ; deallocate(G%Coriolis2Bu) + deallocate(G%dF_dx) ; deallocate(G%dF_dy) deallocate(G%sin_rot) ; deallocate(G%cos_rot) if (allocated(G%Dblock_u)) deallocate(G%Dblock_u) diff --git a/src/ice_shelf/MOM_marine_ice.F90 b/src/ice_shelf/MOM_marine_ice.F90 index 8635eb71b5..3fec94e499 100644 --- a/src/ice_shelf/MOM_marine_ice.F90 +++ b/src/ice_shelf/MOM_marine_ice.F90 @@ -80,7 +80,7 @@ subroutine iceberg_forces(G, forces, use_ice_shelf, sfc_state, time_step, CS) do j=js,je ; do I=is-1,ie if ((G%areaT(i,j) + G%areaT(i+1,j) > 0.0)) & ! .and. (G%dxdy_u(I,j) > 0.0)) & forces%frac_shelf_u(I,j) = forces%frac_shelf_u(I,j) + & - (forces%area_berg(i,j)*G%areaT(i,j) + forces%area_berg(i+1,j)*G%areaT(i+1,j)) / & + ((forces%area_berg(i,j)*G%areaT(i,j)) + (forces%area_berg(i+1,j)*G%areaT(i+1,j))) / & (G%areaT(i,j) + G%areaT(i+1,j)) forces%rigidity_ice_u(I,j) = forces%rigidity_ice_u(I,j) + kv_rho_ice * & min(forces%mass_berg(i,j), forces%mass_berg(i+1,j)) @@ -88,7 +88,7 @@ subroutine iceberg_forces(G, forces, use_ice_shelf, sfc_state, time_step, CS) do J=js-1,je ; do i=is,ie if ((G%areaT(i,j) + G%areaT(i,j+1) > 0.0)) & ! .and. (G%dxdy_v(i,J) > 0.0)) & forces%frac_shelf_v(i,J) = forces%frac_shelf_v(i,J) + & - (forces%area_berg(i,j)*G%areaT(i,j) + forces%area_berg(i,j+1)*G%areaT(i,j+1)) / & + ((forces%area_berg(i,j)*G%areaT(i,j)) + (forces%area_berg(i,j+1)*G%areaT(i,j+1))) / & (G%areaT(i,j) + G%areaT(i,j+1)) forces%rigidity_ice_v(i,J) = forces%rigidity_ice_v(i,J) + kv_rho_ice * & min(forces%mass_berg(i,j), forces%mass_berg(i,j+1)) diff --git a/src/initialization/MOM_fixed_initialization.F90 b/src/initialization/MOM_fixed_initialization.F90 index 322abc6d5e..8b172eacb9 100644 --- a/src/initialization/MOM_fixed_initialization.F90 +++ b/src/initialization/MOM_fixed_initialization.F90 @@ -60,14 +60,15 @@ subroutine MOM_initialize_fixed(G, US, OBC, PF, write_geom, output_dir) logical, intent(in) :: write_geom !< If true, write grid geometry files. character(len=*), intent(in) :: output_dir !< The directory into which to write files. - ! Local + ! Local variables character(len=200) :: inputdir ! The directory where NetCDF input files are. character(len=200) :: config logical :: read_porous_file character(len=40) :: mdl = "MOM_fixed_initialization" ! This module's name. + integer :: I, J logical :: debug -! This include declares and sets the variable "version". -#include "version_variable.h" + ! This include declares and sets the variable "version". +# include "version_variable.h" call callTree_enter("MOM_initialize_fixed(), MOM_fixed_initialization.F90") call log_version(PF, mdl, version, "") @@ -156,8 +157,14 @@ subroutine MOM_initialize_fixed(G, US, OBC, PF, write_geom, output_dir) call MOM_initialize_rotation(G%CoriolisBu, G, PF, US=US) ! Calculate the components of grad f (beta) call MOM_calculate_grad_Coriolis(G%dF_dx, G%dF_dy, G, US=US) +! Calculate the square of the Coriolis parameter + do I=G%IsdB,G%IedB ; do J=G%JsdB,G%JedB + G%Coriolis2Bu(I,J) = G%CoriolisBu(I,J)**2 + enddo ; enddo + if (debug) then call qchksum(G%CoriolisBu, "MOM_initialize_fixed: f ", G%HI, scale=US%s_to_T) + call qchksum(G%Coriolis2Bu, "MOM_initialize_fixed: f2 ", G%HI, scale=US%s_to_T**2) call hchksum(G%dF_dx, "MOM_initialize_fixed: dF_dx ", G%HI, scale=US%m_to_L*US%s_to_T) call hchksum(G%dF_dy, "MOM_initialize_fixed: dF_dy ", G%HI, scale=US%m_to_L*US%s_to_T) endif diff --git a/src/initialization/MOM_state_initialization.F90 b/src/initialization/MOM_state_initialization.F90 index c18752c83d..8841ca90e6 100644 --- a/src/initialization/MOM_state_initialization.F90 +++ b/src/initialization/MOM_state_initialization.F90 @@ -1595,7 +1595,7 @@ real function my_psi(ig,jg) x = 2.0*(G%geoLonBu(ig,jg)-G%west_lon) / G%len_lon - 1.0 ! -10.) then ! Solve resid(E) = 0, where resid = Kh(E) * (SN)^2 - damp_rate(E) E @@ -1001,8 +1001,8 @@ subroutine MEKE_lengthScales(CS, MEKE, G, GV, US, SN_u, SN_v, EKE, depth_tot, & (depth_tot(i,j)-depth_tot(i,j-1)) * G%IdyCv(i,J-1) & / max(depth_tot(i,j), depth_tot(i,j-1), h_neglect) ) endif - beta = sqrt((G%dF_dx(i,j) + beta_topo_x)**2 + & - (G%dF_dy(i,j) + beta_topo_y)**2 ) + beta = sqrt(((G%dF_dx(i,j) + beta_topo_x)**2) + & + ((G%dF_dy(i,j) + beta_topo_y)**2) ) else beta = 0. @@ -1618,9 +1618,9 @@ subroutine ML_MEKE_calculate_features(G, GV, US, CS, Rd_dx_h, u, v, tv, h, dt, f endif ! Calculate mean kinetic energy - u_t = a_e*u(I,j,1)+a_w*u(I-1,j,1) - v_t = a_n*v(i,J,1)+a_s*v(i,J-1,1) - mke(i,j) = 0.5*( u_t*u_t + v_t*v_t ) + u_t = (a_e*u(I,j,1)) + (a_w*u(I-1,j,1)) + v_t = (a_n*v(i,J,1)) + (a_s*v(i,J-1,1)) + mke(i,j) = 0.5*( (u_t*u_t) + (v_t*v_t) ) ! Calculate the magnitude of the slope slope_t = slope_x_vert_avg(I,j)*a_e+slope_x_vert_avg(I-1,j)*a_w @@ -1632,8 +1632,8 @@ subroutine ML_MEKE_calculate_features(G, GV, US, CS, Rd_dx_h, u, v, tv, h, dt, f ! Calculate relative vorticity do J=Jsq-1,Jeq+1 ; do I=Isq-1,Ieq+1 - dvdx = (v(i+1,J,1)*G%dyCv(i+1,J) - v(i,J,1)*G%dyCv(i,J)) - dudy = (u(I,j+1,1)*G%dxCu(I,j+1) - u(I,j,1)*G%dxCu(I,j)) + dvdx = ((v(i+1,J,1)*G%dyCv(i+1,J)) - (v(i,J,1)*G%dyCv(i,J))) + dudy = ((u(I,j+1,1)*G%dxCu(I,j+1)) - (u(I,j,1)*G%dxCu(I,j))) ! Assumed no slip rv_z(I,J) = (2.0-G%mask2dBu(I,J)) * (dvdx - dudy) * G%IareaBu(I,J) enddo; enddo diff --git a/src/parameterizations/lateral/MOM_Zanna_Bolton.F90 b/src/parameterizations/lateral/MOM_Zanna_Bolton.F90 index f472118e7d..db3542764d 100644 --- a/src/parameterizations/lateral/MOM_Zanna_Bolton.F90 +++ b/src/parameterizations/lateral/MOM_Zanna_Bolton.F90 @@ -484,9 +484,9 @@ subroutine compute_c_diss(G, GV, CS) if (CS%Klower_shear == 0) then do j=js-1,je+1 ; do i=is-1,ie+1 shear = sqrt(CS%sh_xx(i,j,k)**2 + 0.25 * ( & - (CS%sh_xy(I-1,J-1,k)**2 + CS%sh_xy(I,J ,k)**2) & - + (CS%sh_xy(I-1,J ,k)**2 + CS%sh_xy(I,J-1,k)**2) & - )) + ((CS%sh_xy(I-1,J-1,k)**2) + (CS%sh_xy(I,J ,k)**2)) & + + ((CS%sh_xy(I-1,J ,k)**2) + (CS%sh_xy(I,J-1,k)**2)) & + )) CS%c_diss(i,j,k) = 1. / (1. + shear * CS%ICoriolis_h(i,j)) enddo; enddo @@ -494,11 +494,11 @@ subroutine compute_c_diss(G, GV, CS) elseif (CS%Klower_shear == 1) then do j=js-1,je+1 ; do i=is-1,ie+1 shear = sqrt(CS%sh_xx(i,j,k)**2 + 0.25 * ( & - ((CS%sh_xy(I-1,J-1,k)**2 + CS%vort_xy(I-1,J-1,k)**2) & - + (CS%sh_xy(I,J,k)**2 + CS%vort_xy(I,J,k)**2)) & - + ((CS%sh_xy(I-1,J,k)**2 + CS%vort_xy(I-1,J,k)**2) & - + (CS%sh_xy(I,J-1,k)**2 + CS%vort_xy(I,J-1,k)**2)) & - )) + ((CS%sh_xy(I-1,J-1,k)**2 + CS%vort_xy(I-1,J-1,k)**2) & + + (CS%sh_xy(I,J,k)**2 + CS%vort_xy(I,J,k)**2)) & + + ((CS%sh_xy(I-1,J,k)**2 + CS%vort_xy(I-1,J,k)**2) & + + (CS%sh_xy(I,J-1,k)**2 + CS%vort_xy(I,J-1,k)**2)) & + )) CS%c_diss(i,j,k) = 1. / (1. + shear * CS%ICoriolis_h(i,j)) enddo; enddo endif @@ -583,10 +583,10 @@ subroutine compute_stress(G, GV, CS) if (vort_sh_scheme_1) then ! It is assumed that B.C. is applied to sh_xy and vort_xy vort_sh = 0.25 * ( & - ((G%areaBu(I-1,J-1) * CS%vort_xy(I-1,J-1,k)) * CS%sh_xy(I-1,J-1,k) + & - (G%areaBu(I ,J ) * CS%vort_xy(I ,J ,k)) * CS%sh_xy(I ,J ,k)) + & - ((G%areaBu(I-1,J ) * CS%vort_xy(I-1,J ,k)) * CS%sh_xy(I-1,J ,k) + & - (G%areaBu(I ,J-1) * CS%vort_xy(I ,J-1,k)) * CS%sh_xy(I ,J-1,k)) & + (((G%areaBu(I-1,J-1) * CS%vort_xy(I-1,J-1,k)) * CS%sh_xy(I-1,J-1,k)) + & + ((G%areaBu(I ,J ) * CS%vort_xy(I ,J ,k)) * CS%sh_xy(I ,J ,k))) + & + (((G%areaBu(I-1,J ) * CS%vort_xy(I-1,J ,k)) * CS%sh_xy(I-1,J ,k)) + & + ((G%areaBu(I ,J-1) * CS%vort_xy(I ,J-1,k)) * CS%sh_xy(I ,J-1,k))) & ) * G%IareaT(i,j) endif @@ -717,10 +717,8 @@ subroutine compute_stress_divergence(u, v, h, diffu, diffv, dx2h, dy2h, dx2q, dy ! but here is the discretization of div(S) do j=js,je ; do I=Isq,Ieq h_u = 0.5 * (G%mask2dT(i,j)*h(i,j,k) + G%mask2dT(i+1,j)*h(i+1,j,k)) + h_neglect - fx = -((G%IdyCu(I,j)*(Mxx(i,j) - & - Mxx(i+1,j)) + & - G%IdxCu(I,j)*(dx2q(I,J-1)*Mxy(I,J-1) - & - dx2q(I,J) *Mxy(I,J))) * & + fx = -((G%IdyCu(I,j)*(Mxx(i,j) - Mxx(i+1,j)) + & + G%IdxCu(I,j)*(dx2q(I,J-1)*Mxy(I,J-1) - dx2q(I,J)*Mxy(I,J))) * & G%IareaCu(I,j)) / h_u diffu(I,j,k) = diffu(I,j,k) + fx if (save_ZB2020u) & @@ -730,10 +728,8 @@ subroutine compute_stress_divergence(u, v, h, diffu, diffv, dx2h, dy2h, dx2q, dy ! Evaluate 1/h y.Div(h S) (Line 1517 of MOM_hor_visc.F90) do J=Jsq,Jeq ; do i=is,ie h_v = 0.5 * (G%mask2dT(i,j)*h(i,j,k) + G%mask2dT(i,j+1)*h(i,j+1,k)) + h_neglect - fy = -((G%IdyCv(i,J)*(dy2q(I-1,J)*Mxy(I-1,J) - & - dy2q(I,J) *Mxy(I,J)) + & ! NOTE this plus - G%IdxCv(i,J)*(Myy(i,j) - & - Myy(i,j+1))) * & + fy = -((G%IdxCv(i,J)*(Myy(i,j) - Myy(i,j+1)) + & + G%IdyCv(i,J)*(dy2q(I-1,J)*Mxy(I-1,J) - dy2q(I,J)*Mxy(I,J))) * & G%IareaCv(i,J)) / h_v diffv(i,J,k) = diffv(i,J,k) + fy if (save_ZB2020v) & diff --git a/src/parameterizations/lateral/MOM_hor_visc.F90 b/src/parameterizations/lateral/MOM_hor_visc.F90 index 2eef171bf5..4a794a19fe 100644 --- a/src/parameterizations/lateral/MOM_hor_visc.F90 +++ b/src/parameterizations/lateral/MOM_hor_visc.F90 @@ -512,10 +512,10 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, ! Calculate the barotropic horizontal tension do j=js-2,je+2 ; do i=is-2,ie+2 - dudx_bt(i,j) = CS%DY_dxT(i,j)*(G%IdyCu(I,j) * ubtav(I,j) - & - G%IdyCu(I-1,j) * ubtav(I-1,j)) - dvdy_bt(i,j) = CS%DX_dyT(i,j)*(G%IdxCv(i,J) * vbtav(i,J) - & - G%IdxCv(i,J-1) * vbtav(i,J-1)) + dudx_bt(i,j) = CS%DY_dxT(i,j)*((G%IdyCu(I,j) * ubtav(I,j)) - & + (G%IdyCu(I-1,j) * ubtav(I-1,j))) + dvdy_bt(i,j) = CS%DX_dyT(i,j)*((G%IdxCv(i,J) * vbtav(i,J)) - & + (G%IdxCv(i,J-1) * vbtav(i,J-1))) enddo ; enddo do j=Jsq-1,Jeq+2 ; do i=Isq-1,Ieq+2 sh_xx_bt(i,j) = dudx_bt(i,j) - dvdy_bt(i,j) @@ -523,10 +523,10 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, ! Components for the barotropic shearing strain do J=Jsq-2,Jeq+2 ; do I=Isq-2,Ieq+2 - dvdx_bt(I,J) = CS%DY_dxBu(I,J)*(vbtav(i+1,J)*G%IdyCv(i+1,J) & - - vbtav(i,J)*G%IdyCv(i,J)) - dudy_bt(I,J) = CS%DX_dyBu(I,J)*(ubtav(I,j+1)*G%IdxCu(I,j+1) & - - ubtav(I,j)*G%IdxCu(I,j)) + dvdx_bt(I,J) = CS%DY_dxBu(I,J)*((vbtav(i+1,J)*G%IdyCv(i+1,J)) & + - (vbtav(i,J)*G%IdyCv(i,J))) + dudy_bt(I,J) = CS%DX_dyBu(I,J)*((ubtav(I,j+1)*G%IdxCu(I,j+1)) & + - (ubtav(I,j)*G%IdxCu(I,j))) enddo ; enddo if (CS%no_slip) then @@ -653,35 +653,35 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, ! Calculate horizontal tension do j=Jsq-1,Jeq+2 ; do i=Isq-1,Ieq+2 - dudx(i,j) = CS%DY_dxT(i,j)*(G%IdyCu(I,j) * u(I,j,k) - & - G%IdyCu(I-1,j) * u(I-1,j,k)) - dvdy(i,j) = CS%DX_dyT(i,j)*(G%IdxCv(i,J) * v(i,J,k) - & - G%IdxCv(i,J-1) * v(i,J-1,k)) + dudx(i,j) = CS%DY_dxT(i,j)*((G%IdyCu(I,j) * u(I,j,k)) - & + (G%IdyCu(I-1,j) * u(I-1,j,k))) + dvdy(i,j) = CS%DX_dyT(i,j)*((G%IdxCv(i,J) * v(i,J,k)) - & + (G%IdxCv(i,J-1) * v(i,J-1,k))) sh_xx(i,j) = dudx(i,j) - dvdy(i,j) enddo ; enddo ! Components for the shearing strain do J=js_vort,je_vort ; do I=is_vort,ie_vort - dvdx(I,J) = CS%DY_dxBu(I,J)*(v(i+1,J,k)*G%IdyCv(i+1,J) - v(i,J,k)*G%IdyCv(i,J)) - dudy(I,J) = CS%DX_dyBu(I,J)*(u(I,j+1,k)*G%IdxCu(I,j+1) - u(I,j,k)*G%IdxCu(I,j)) + dvdx(I,J) = CS%DY_dxBu(I,J)*((v(i+1,J,k)*G%IdyCv(i+1,J)) - (v(i,J,k)*G%IdyCv(i,J))) + dudy(I,J) = CS%DX_dyBu(I,J)*((u(I,j+1,k)*G%IdxCu(I,j+1)) - (u(I,j,k)*G%IdxCu(I,j))) enddo ; enddo if (CS%use_Leithy) then ! Calculate horizontal tension from smoothed velocity do j=Jsq,Jeq+1 ; do i=Isq,Ieq+1 - dudx_smooth(i,j) = CS%DY_dxT(i,j)*(G%IdyCu(I,j) * u_smooth(I,j,k) - & - G%IdyCu(I-1,j) * u_smooth(I-1,j,k)) - dvdy_smooth(i,j) = CS%DX_dyT(i,j)*(G%IdxCv(i,J) * v_smooth(i,J,k) - & - G%IdxCv(i,J-1) * v_smooth(i,J-1,k)) + dudx_smooth(i,j) = CS%DY_dxT(i,j)*((G%IdyCu(I,j) * u_smooth(I,j,k)) - & + (G%IdyCu(I-1,j) * u_smooth(I-1,j,k))) + dvdy_smooth(i,j) = CS%DX_dyT(i,j)*((G%IdxCv(i,J) * v_smooth(i,J,k)) - & + (G%IdxCv(i,J-1) * v_smooth(i,J-1,k))) sh_xx_smooth(i,j) = dudx_smooth(i,j) - dvdy_smooth(i,j) enddo ; enddo ! Components for the shearing strain from smoothed velocity do J=js_Kh-1,je_Kh ; do I=is_Kh-1,ie_Kh dvdx_smooth(I,J) = CS%DY_dxBu(I,J) * & - (v_smooth(i+1,J,k)*G%IdyCv(i+1,J) - v_smooth(i,J,k)*G%IdyCv(i,J)) + ((v_smooth(i+1,J,k)*G%IdyCv(i+1,J)) - (v_smooth(i,J,k)*G%IdyCv(i,J))) dudy_smooth(I,J) = CS%DX_dyBu(I,J) * & - (u_smooth(I,j+1,k)*G%IdxCu(I,j+1) - u_smooth(I,j,k)*G%IdxCu(I,j)) + ((u_smooth(I,j+1,k)*G%IdxCu(I,j+1)) - (u_smooth(I,j,k)*G%IdxCu(I,j))) enddo ; enddo endif ! use Leith+E @@ -873,12 +873,12 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, ! Evaluate Del2u = x.Div(Grad u) and Del2v = y.Div( Grad u) if (CS%biharmonic) then do j=js-1,Jeq+1 ; do I=Isq-1,Ieq+1 - Del2u(I,j) = CS%Idxdy2u(I,j)*(CS%dy2h(i+1,j)*sh_xx(i+1,j) - CS%dy2h(i,j)*sh_xx(i,j)) + & - CS%Idx2dyCu(I,j)*(CS%dx2q(I,J)*sh_xy(I,J) - CS%dx2q(I,J-1)*sh_xy(I,J-1)) + Del2u(I,j) = CS%Idx2dyCu(I,j) * ((CS%dx2q(I,J)*sh_xy(I,J)) - (CS%dx2q(I,J-1)*sh_xy(I,J-1))) + & + CS%Idxdy2u(I,j) * ((CS%dy2h(i+1,j)*sh_xx(i+1,j)) - (CS%dy2h(i,j)*sh_xx(i,j))) enddo ; enddo do J=Jsq-1,Jeq+1 ; do i=is-1,Ieq+1 - Del2v(i,J) = CS%Idxdy2v(i,J)*(CS%dy2q(I,J)*sh_xy(I,J) - CS%dy2q(I-1,J)*sh_xy(I-1,J)) - & - CS%Idx2dyCv(i,J)*(CS%dx2h(i,j+1)*sh_xx(i,j+1) - CS%dx2h(i,j)*sh_xx(i,j)) + Del2v(i,J) = CS%Idxdy2v(i,J) * ((CS%dy2q(I,J)*sh_xy(I,J)) - (CS%dy2q(I-1,J)*sh_xy(I-1,J))) - & + CS%Idx2dyCv(i,J) * ((CS%dx2h(i,j+1)*sh_xx(i,j+1)) - (CS%dx2h(i,j)*sh_xx(i,j))) enddo ; enddo if (apply_OBC) then ; if (OBC%zero_biharmonic) then do n=1,OBC%number_of_segments @@ -927,12 +927,12 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, ! Vorticity gradient do J=js-2,je_Kh ; do i=is_Kh-1,ie_Kh+1 DY_dxBu = G%dyBu(I,J) * G%IdxBu(I,J) - vort_xy_dx(i,J) = DY_dxBu * (vort_xy(I,J) * G%IdyCu(I,j) - vort_xy(I-1,J) * G%IdyCu(I-1,j)) + vort_xy_dx(i,J) = DY_dxBu * ((vort_xy(I,J) * G%IdyCu(I,j)) - (vort_xy(I-1,J) * G%IdyCu(I-1,j))) enddo ; enddo do j=js_Kh-1,je_Kh+1 ; do I=is-2,ie_Kh DX_dyBu = G%dxBu(I,J) * G%IdyBu(I,J) - vort_xy_dy(I,j) = DX_dyBu * (vort_xy(I,J) * G%IdxCv(i,J) - vort_xy(I,J-1) * G%IdxCv(i,J-1)) + vort_xy_dy(I,j) = DX_dyBu * ((vort_xy(I,J) * G%IdxCv(i,J)) - (vort_xy(I,J-1) * G%IdxCv(i,J-1))) enddo ; enddo if (CS%use_Leithy) then @@ -940,13 +940,13 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, do J=js_Kh-1,je_Kh ; do i=is_Kh,ie_Kh DY_dxBu = G%dyBu(I,J) * G%IdxBu(I,J) vort_xy_dx_smooth(i,J) = DY_dxBu * & - (vort_xy_smooth(I,J) * G%IdyCu(I,j) - vort_xy_smooth(I-1,J) * G%IdyCu(I-1,j)) + ((vort_xy_smooth(I,J) * G%IdyCu(I,j)) - (vort_xy_smooth(I-1,J) * G%IdyCu(I-1,j))) enddo ; enddo do j=js_Kh,je_Kh ; do I=is_Kh-1,ie_Kh DX_dyBu = G%dxBu(I,J) * G%IdyBu(I,J) vort_xy_dy_smooth(I,j) = DX_dyBu * & - (vort_xy_smooth(I,J) * G%IdxCv(i,J) - vort_xy_smooth(I,J-1) * G%IdxCv(i,J-1)) + ((vort_xy_smooth(I,J) * G%IdxCv(i,J)) - (vort_xy_smooth(I,J-1) * G%IdxCv(i,J-1))) enddo ; enddo endif ! If Leithy @@ -956,8 +956,8 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, DY_dxBu = G%dyBu(I,J) * G%IdxBu(I,J) DX_dyBu = G%dxBu(I,J) * G%IdyBu(I,J) - Del2vort_q(I,J) = DY_dxBu * (vort_xy_dx(i+1,J) * G%IdyCv(i+1,J) - vort_xy_dx(i,J) * G%IdyCv(i,J)) + & - DX_dyBu * (vort_xy_dy(I,j+1) * G%IdyCu(I,j+1) - vort_xy_dy(I,j) * G%IdyCu(I,j)) + Del2vort_q(I,J) = DY_dxBu * ((vort_xy_dx(i+1,J) * G%IdyCv(i+1,J)) - (vort_xy_dx(i,J) * G%IdyCv(i,J))) + & + DX_dyBu * ((vort_xy_dy(I,j+1) * G%IdyCu(I,j+1)) - (vort_xy_dy(I,j) * G%IdyCu(I,j))) enddo ; enddo ! endif @@ -978,12 +978,12 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, ! Magnitude of divergence gradient do j=js_Kh,je_Kh ; do i=is_Kh,ie_Kh - grad_div_mag_h(i,j) = sqrt((0.5*(div_xx_dx(I,j) + div_xx_dx(I-1,j)))**2 + & - (0.5*(div_xx_dy(i,J) + div_xx_dy(i,J-1)))**2) + grad_div_mag_h(i,j) = sqrt(((0.5*(div_xx_dx(I,j) + div_xx_dx(I-1,j)))**2) + & + ((0.5*(div_xx_dy(i,J) + div_xx_dy(i,J-1)))**2)) enddo ; enddo do J=js-1,Jeq ; do I=is-1,Ieq - grad_div_mag_q(I,J) = sqrt((0.5*(div_xx_dx(I,j) + div_xx_dx(I,j+1)))**2 + & - (0.5*(div_xx_dy(i,J) + div_xx_dy(i+1,J)))**2) + grad_div_mag_q(I,J) = sqrt(((0.5*(div_xx_dx(I,j) + div_xx_dx(I,j+1)))**2) + & + ((0.5*(div_xx_dy(i,J) + div_xx_dy(i+1,J)))**2)) enddo ; enddo else @@ -1016,12 +1016,12 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, if (CS%use_QG_Leith_visc) then do j=js_Kh,je_Kh ; do i=is_Kh,ie_Kh - grad_vort_mag_h_2d(i,j) = SQRT((0.5*(vort_xy_dx(i,J) + vort_xy_dx(i,J-1)))**2 + & - (0.5*(vort_xy_dy(I,j) + vort_xy_dy(I-1,j)))**2 ) + grad_vort_mag_h_2d(i,j) = SQRT(((0.5*(vort_xy_dx(i,J) + vort_xy_dx(i,J-1)))**2) + & + ((0.5*(vort_xy_dy(I,j) + vort_xy_dy(I-1,j)))**2) ) enddo ; enddo do J=js-1,Jeq ; do I=is-1,Ieq - grad_vort_mag_q_2d(I,J) = SQRT((0.5*(vort_xy_dx(i,J) + vort_xy_dx(i+1,J)))**2 + & - (0.5*(vort_xy_dy(I,j) + vort_xy_dy(I,j+1)))**2 ) + grad_vort_mag_q_2d(I,J) = SQRT(((0.5*(vort_xy_dx(i,J) + vort_xy_dx(i+1,J)))**2) + & + ((0.5*(vort_xy_dy(I,j) + vort_xy_dy(I,j+1)))**2) ) enddo ; enddo ! This accumulates terms, some of which are in VarMix. @@ -1031,20 +1031,20 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, endif do j=js_Kh,je_Kh ; do i=is_Kh,ie_Kh - grad_vort_mag_h(i,j) = SQRT((0.5*(vort_xy_dx(i,J) + vort_xy_dx(i,J-1)))**2 + & - (0.5*(vort_xy_dy(I,j) + vort_xy_dy(I-1,j)))**2 ) + grad_vort_mag_h(i,j) = SQRT(((0.5*(vort_xy_dx(i,J) + vort_xy_dx(i,J-1)))**2) + & + ((0.5*(vort_xy_dy(I,j) + vort_xy_dy(I-1,j)))**2) ) enddo ; enddo do J=js-1,Jeq ; do I=is-1,Ieq - grad_vort_mag_q(I,J) = SQRT((0.5*(vort_xy_dx(i,J) + vort_xy_dx(i+1,J)))**2 + & - (0.5*(vort_xy_dy(I,j) + vort_xy_dy(I,j+1)))**2 ) + grad_vort_mag_q(I,J) = SQRT(((0.5*(vort_xy_dx(i,J) + vort_xy_dx(i+1,J)))**2) + & + ((0.5*(vort_xy_dy(I,j) + vort_xy_dy(I,j+1)))**2) ) enddo ; enddo if (CS%use_Leithy) then do j=js_Kh,je_Kh ; do i=is_Kh,ie_Kh - vert_vort_mag_smooth(i,j) = SQRT((0.5*(vort_xy_dx_smooth(i,J) + & - vort_xy_dx_smooth(i,J-1)))**2 + & - (0.5*(vort_xy_dy_smooth(I,j) + & - vort_xy_dy_smooth(I-1,j)))**2 ) + vert_vort_mag_smooth(i,j) = SQRT(((0.5*(vort_xy_dx_smooth(i,J) + & + vort_xy_dx_smooth(i,J-1)))**2) + & + ((0.5*(vort_xy_dy_smooth(I,j) + & + vort_xy_dy_smooth(I-1,j)))**2) ) enddo ; enddo endif ! Leithy @@ -1053,8 +1053,8 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, if ((CS%Smagorinsky_Kh) .or. (CS%Smagorinsky_Ah)) then do j=js_Kh,je_Kh ; do i=is_Kh,ie_Kh sh_xx_sq = sh_xx(i,j)**2 - sh_xy_sq = 0.25 * ( (sh_xy(I-1,J-1)**2 + sh_xy(I,J)**2) & - + (sh_xy(I-1,J)**2 + sh_xy(I,J-1)**2) ) + sh_xy_sq = 0.25 * ( ((sh_xy(I-1,J-1)**2) + (sh_xy(I,J)**2)) & + + ((sh_xy(I-1,J)**2) + (sh_xy(I,J-1)**2)) ) Shear_mag(i,j) = sqrt(sh_xx_sq + sh_xy_sq) enddo ; enddo endif @@ -1180,7 +1180,7 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, if (CS%id_grid_Re_Kh>0) then do j=js,je ; do i=is,ie - KE = 0.125*((u(I,j,k)+u(I-1,j,k))**2 + (v(i,J,k)+v(i,J-1,k))**2) + KE = 0.125*(((u(I,j,k)+u(I-1,j,k))**2) + ((v(i,J,k)+v(i,J-1,k))**2)) grid_Kh = max(Kh(i,j), CS%min_grid_Kh) grid_Re_Kh(i,j,k) = (sqrt(KE) * sqrt(CS%grid_sp_h2(i,j))) / grid_Kh enddo ; enddo @@ -1319,7 +1319,7 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, if (CS%Re_Ah > 0.0) then do j=js_Kh,je_Kh ; do i=is_Kh,ie_Kh - KE = 0.125*((u(I,j,k)+u(I-1,j,k))**2 + (v(i,J,k)+v(i,J-1,k))**2) + KE = 0.125*(((u(I,j,k)+u(I-1,j,k))**2) + ((v(i,J,k)+v(i,J-1,k))**2)) Ah(i,j) = sqrt(KE) * CS%Re_Ah_const_xx(i,j) enddo ; enddo endif @@ -1353,16 +1353,16 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, if (CS%id_grid_Re_Ah>0) then do j=js,je ; do i=is,ie - KE = 0.125 * ((u(I,j,k) + u(I-1,j,k))**2 + (v(i,J,k) + v(i,J-1,k))**2) + KE = 0.125 * (((u(I,j,k) + u(I-1,j,k))**2) + ((v(i,J,k) + v(i,J-1,k))**2)) grid_Ah = max(Ah(i,j), CS%min_grid_Ah) grid_Re_Ah(i,j,k) = (sqrt(KE) * CS%grid_sp_h3(i,j)) / grid_Ah enddo ; enddo endif do j=Jsq,Jeq+1 ; do i=Isq,Ieq+1 - d_del2u = G%IdyCu(I,j) * Del2u(I,j) - G%IdyCu(I-1,j) * Del2u(I-1,j) - d_del2v = G%IdxCv(i,J) * Del2v(i,J) - G%IdxCv(i,J-1) * Del2v(i,J-1) - d_str = Ah(i,j) * (CS%DY_dxT(i,j) * d_del2u - CS%DX_dyT(i,j) * d_del2v) + d_del2u = (G%IdyCu(I,j) * Del2u(I,j)) - (G%IdyCu(I-1,j) * Del2u(I-1,j)) + d_del2v = (G%IdxCv(i,J) * Del2v(i,J)) - (G%IdxCv(i,J-1) * Del2v(i,J-1)) + d_str = Ah(i,j) * ((CS%DY_dxT(i,j) * d_del2u) - (CS%DX_dyT(i,j) * d_del2v)) str_xx(i,j) = str_xx(i,j) + d_str @@ -1376,8 +1376,8 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, if (CS%biharmonic) then ! Gradient of Laplacian, for use in bi-harmonic term do J=js-1,Jeq ; do I=is-1,Ieq - dDel2vdx(I,J) = CS%DY_dxBu(I,J)*(Del2v(i+1,J)*G%IdyCv(i+1,J) - Del2v(i,J)*G%IdyCv(i,J)) - dDel2udy(I,J) = CS%DX_dyBu(I,J)*(Del2u(I,j+1)*G%IdxCu(I,j+1) - Del2u(I,j)*G%IdxCu(I,j)) + dDel2vdx(I,J) = CS%DY_dxBu(I,J)*((Del2v(i+1,J)*G%IdyCv(i+1,J)) - (Del2v(i,J)*G%IdyCv(i,J))) + dDel2udy(I,J) = CS%DX_dyBu(I,J)*((Del2u(I,j+1)*G%IdxCu(I,j+1)) - (Del2u(I,j)*G%IdxCu(I,j))) enddo ; enddo ! Adjust contributions to shearing strain on open boundaries. if (apply_OBC) then ; if (OBC%zero_strain .or. OBC%freeslip_strain) then @@ -1409,8 +1409,8 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, if ((CS%Smagorinsky_Kh) .or. (CS%Smagorinsky_Ah)) then do J=js-1,Jeq ; do I=is-1,Ieq sh_xy_sq = sh_xy(I,J)**2 - sh_xx_sq = 0.25 * ( (sh_xx(i,j)**2 + sh_xx(i+1,j+1)**2) & - + (sh_xx(i,j+1)**2 + sh_xx(i+1,j)**2) ) + sh_xx_sq = 0.25 * ( ((sh_xx(i,j)**2) + (sh_xx(i+1,j+1)**2)) & + + ((sh_xx(i,j+1)**2) + (sh_xx(i+1,j)**2)) ) Shear_mag(I,J) = sqrt(sh_xy_sq + sh_xx_sq) enddo ; enddo endif @@ -1641,7 +1641,7 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, if (CS%Re_Ah > 0.0) then do J=js-1,Jeq ; do I=is-1,Ieq - KE = 0.125 * ((u(I,j,k) + u(I,j+1,k))**2 + (v(i,J,k) + v(i+1,J,k))**2) + KE = 0.125 * (((u(I,j,k) + u(I,j+1,k))**2) + ((v(i,J,k) + v(i+1,J,k))**2)) Ah(I,J) = sqrt(KE) * CS%Re_Ah_const_xy(I,J) enddo ; enddo endif @@ -1743,8 +1743,8 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, ! Evaluate 1/h x.Div(h Grad u) or the biharmonic equivalent. do j=js,je ; do I=Isq,Ieq - diffu(I,j,k) = ((G%IdyCu(I,j)*(CS%dy2h(i,j)*str_xx(i,j) - CS%dy2h(i+1,j)*str_xx(i+1,j)) + & - G%IdxCu(I,j)*(CS%dx2q(I,J-1)*str_xy(I,J-1) - CS%dx2q(I,J)*str_xy(I,J))) * & + diffu(I,j,k) = ((G%IdxCu(I,j)*((CS%dx2q(I,J-1)*str_xy(I,J-1)) - (CS%dx2q(I,J)*str_xy(I,J))) + & + G%IdyCu(I,j)*((CS%dy2h(i,j)*str_xx(i,j)) - (CS%dy2h(i+1,j)*str_xx(i+1,j)))) * & G%IareaCu(I,j)) / (h_u(I,j) + h_neglect) enddo ; enddo @@ -1763,8 +1763,8 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, ! Evaluate 1/h y.Div(h Grad u) or the biharmonic equivalent. do J=Jsq,Jeq ; do i=is,ie - diffv(i,J,k) = ((G%IdyCv(i,J)*(CS%dy2q(I-1,J)*str_xy(I-1,J) - CS%dy2q(I,J)*str_xy(I,J)) - & - G%IdxCv(i,J)*(CS%dx2h(i,j)*str_xx(i,j) - CS%dx2h(i,j+1)*str_xx(i,j+1))) * & + diffv(i,J,k) = ((G%IdyCv(i,J)*((CS%dy2q(I-1,J)*str_xy(I-1,J)) - (CS%dy2q(I,J)*str_xy(I,J))) - & + G%IdxCv(i,J)*((CS%dx2h(i,j)*str_xx(i,j)) - (CS%dx2h(i,j+1)*str_xx(i,j+1)))) * & G%IareaCv(i,J)) / (h_v(i,J) + h_neglect) enddo ; enddo @@ -1785,40 +1785,40 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, ! Diagnose str_xx*d_x u - str_yy*d_y v + str_xy*(d_y u + d_x v) ! This is the old formulation that includes energy diffusion FrictWork(i,j,k) = GV%H_to_RZ * ( & - (str_xx(i,j) * (u(I,j,k)-u(I-1,j,k))*G%IdxT(i,j) & - - str_xx(i,j) * (v(i,J,k)-v(i,J-1,k))*G%IdyT(i,j)) & - + 0.25*((str_xy(I,J) * & - ((u(I,j+1,k)-u(I,j,k))*G%IdyBu(I,J) & - + (v(i+1,J,k)-v(i,J,k))*G%IdxBu(I,J)) & - + str_xy(I-1,J-1) * & - ((u(I-1,j,k)-u(I-1,j-1,k))*G%IdyBu(I-1,J-1) & - + (v(i,J-1,k)-v(i-1,J-1,k))*G%IdxBu(I-1,J-1)) ) & - + (str_xy(I-1,J) * & - ((u(I-1,j+1,k)-u(I-1,j,k))*G%IdyBu(I-1,J) & - + (v(i,J,k)-v(i-1,J,k))*G%IdxBu(I-1,J)) & - + str_xy(I,J-1) * & - ((u(I,j,k)-u(I,j-1,k))*G%IdyBu(I,J-1) & - + (v(i+1,J-1,k)-v(i,J-1,k))*G%IdxBu(I,J-1)) ) ) ) + ((str_xx(i,j) * (u(I,j,k)-u(I-1,j,k))*G%IdxT(i,j)) & + - (str_xx(i,j) * (v(i,J,k)-v(i,J-1,k))*G%IdyT(i,j))) & + + 0.25*(( (str_xy(I,J) * & + (((u(I,j+1,k)-u(I,j,k))*G%IdyBu(I,J)) & + + ((v(i+1,J,k)-v(i,J,k))*G%IdxBu(I,J)))) & + + (str_xy(I-1,J-1) * & + (((u(I-1,j,k)-u(I-1,j-1,k))*G%IdyBu(I-1,J-1)) & + + ((v(i,J-1,k)-v(i-1,J-1,k))*G%IdxBu(I-1,J-1)))) ) & + + ( (str_xy(I-1,J) * & + (((u(I-1,j+1,k)-u(I-1,j,k))*G%IdyBu(I-1,J)) & + + ((v(i,J,k)-v(i-1,J,k))*G%IdxBu(I-1,J)))) & + + (str_xy(I,J-1) * & + (((u(I,j,k)-u(I,j-1,k))*G%IdyBu(I,J-1)) & + + ((v(i+1,J-1,k)-v(i,J-1,k))*G%IdxBu(I,J-1)))) ) ) ) enddo ; enddo ; endif if (CS%use_GME) then ; do j=js,je ; do i=is,ie ! Diagnose str_xx_GME*d_x u - str_yy_GME*d_y v + str_xy_GME*(d_y u + d_x v) ! This is the old formulation that includes energy diffusion FrictWork_GME(i,j,k) = GV%H_to_RZ * ( & - (str_xx_GME(i,j)*(u(I,j,k)-u(I-1,j,k))*G%IdxT(i,j) & - - str_xx_GME(i,j)*(v(i,J,k)-v(i,J-1,k))*G%IdyT(i,j)) & - + 0.25*((str_xy_GME(I,J) * & - ((u(I,j+1,k)-u(I,j,k))*G%IdyBu(I,J) & - + (v(i+1,J,k)-v(i,J,k))*G%IdxBu(I,J)) & - + str_xy_GME(I-1,J-1) * & - ((u(I-1,j,k)-u(I-1,j-1,k))*G%IdyBu(I-1,J-1) & - + (v(i,J-1,k)-v(i-1,J-1,k))*G%IdxBu(I-1,J-1)) ) & - + (str_xy_GME(I-1,J) * & - ((u(I-1,j+1,k)-u(I-1,j,k))*G%IdyBu(I-1,J) & - + (v(i,J,k)-v(i-1,J,k))*G%IdxBu(I-1,J)) & - + str_xy_GME(I,J-1) * & - ((u(I,j,k)-u(I,j-1,k))*G%IdyBu(I,J-1) & - + (v(i+1,J-1,k)-v(i,J-1,k))*G%IdxBu(I,J-1)) ) ) ) + ((str_xx_GME(i,j)*(u(I,j,k)-u(I-1,j,k))*G%IdxT(i,j)) & + - (str_xx_GME(i,j)*(v(i,J,k)-v(i,J-1,k))*G%IdyT(i,j))) & + + 0.25*(( (str_xy_GME(I,J) * & + (((u(I,j+1,k)-u(I,j,k))*G%IdyBu(I,J)) & + + ((v(i+1,J,k)-v(i,J,k))*G%IdxBu(I,J)))) & + + (str_xy_GME(I-1,J-1) * & + (((u(I-1,j,k)-u(I-1,j-1,k))*G%IdyBu(I-1,J-1)) & + + ((v(i,J-1,k)-v(i-1,J-1,k))*G%IdxBu(I-1,J-1)))) ) & + + ( (str_xy_GME(I-1,J) * & + (((u(I-1,j+1,k)-u(I-1,j,k))*G%IdyBu(I-1,J)) & + + ((v(i,J,k)-v(i-1,J,k))*G%IdxBu(I-1,J)))) & + + (str_xy_GME(I,J-1) * & + (((u(I,j,k)-u(I,j-1,k))*G%IdyBu(I,J-1)) & + + ((v(i+1,J-1,k)-v(i,J-1,k))*G%IdxBu(I,J-1)))) ) ) ) enddo ; enddo ; endif ! Make a similar calculation as for FrictWork above but accumulating into @@ -1840,8 +1840,8 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, FatH = 0.25*( (abs(G%CoriolisBu(I-1,J-1)) + abs(G%CoriolisBu(I,J))) + & (abs(G%CoriolisBu(I-1,J)) + abs(G%CoriolisBu(I,J-1))) ) Shear_mag_bc = sqrt(sh_xx(i,j) * sh_xx(i,j) + & - 0.25*((sh_xy(I-1,J-1)*sh_xy(I-1,J-1) + sh_xy(I,J)*sh_xy(I,J)) + & - (sh_xy(I-1,J)*sh_xy(I-1,J) + sh_xy(I,J-1)*sh_xy(I,J-1)))) + 0.25*(((sh_xy(I-1,J-1)*sh_xy(I-1,J-1)) + (sh_xy(I,J)*sh_xy(I,J))) + & + ((sh_xy(I-1,J)*sh_xy(I-1,J)) + (sh_xy(I,J-1)*sh_xy(I,J-1))))) if (CS%answer_date > 20190101) then FatH = (US%s_to_T*FatH)**MEKE%backscatter_Ro_pow ! f^n ! Note the hard-coded dimensional constant in the following line that can not @@ -1861,20 +1861,20 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US, endif MEKE%mom_src(i,j) = MEKE%mom_src(i,j) + GV%H_to_RZ * ( & - ((str_xx(i,j)-RoScl*bhstr_xx(i,j))*(u(I,j,k)-u(I-1,j,k))*G%IdxT(i,j) & - -(str_xx(i,j)-RoScl*bhstr_xx(i,j))*(v(i,J,k)-v(i,J-1,k))*G%IdyT(i,j)) & - + 0.25*(((str_xy(I,J)-RoScl*bhstr_xy(I,J)) * & - ((u(I,j+1,k)-u(I,j,k))*G%IdyBu(I,J) & - + (v(i+1,J,k)-v(i,J,k))*G%IdxBu(I,J) ) & - + (str_xy(I-1,J-1)-RoScl*bhstr_xy(I-1,J-1)) * & - ((u(I-1,j,k)-u(I-1,j-1,k))*G%IdyBu(I-1,J-1) & - + (v(i,J-1,k)-v(i-1,J-1,k))*G%IdxBu(I-1,J-1)) ) & - + ((str_xy(I-1,J)-RoScl*bhstr_xy(I-1,J)) * & - ((u(I-1,j+1,k)-u(I-1,j,k))*G%IdyBu(I-1,J) & - + (v(i,J,k)-v(i-1,J,k))*G%IdxBu(I-1,J)) & - + (str_xy(I,J-1)-RoScl*bhstr_xy(I,J-1)) * & - ((u(I,j,k)-u(I,j-1,k))*G%IdyBu(I,J-1) & - + (v(i+1,J-1,k)-v(i,J-1,k))*G%IdxBu(I,J-1)) ) ) ) + (((str_xx(i,j)-RoScl*bhstr_xx(i,j))*(u(I,j,k)-u(I-1,j,k))*G%IdxT(i,j)) & + - ((str_xx(i,j)-RoScl*bhstr_xx(i,j))*(v(i,J,k)-v(i,J-1,k))*G%IdyT(i,j))) & + + 0.25*( (((str_xy(I,J)-RoScl*bhstr_xy(I,J)) * & + (((u(I,j+1,k)-u(I,j,k))*G%IdyBu(I,J)) & + + ((v(i+1,J,k)-v(i,J,k))*G%IdxBu(I,J)))) & + + ((str_xy(I-1,J-1)-RoScl*bhstr_xy(I-1,J-1)) * & + (((u(I-1,j,k)-u(I-1,j-1,k))*G%IdyBu(I-1,J-1)) & + + ((v(i,J-1,k)-v(i-1,J-1,k))*G%IdxBu(I-1,J-1)))) ) & + + (((str_xy(I-1,J)-RoScl*bhstr_xy(I-1,J)) * & + (((u(I-1,j+1,k)-u(I-1,j,k))*G%IdyBu(I-1,J)) & + + ((v(i,J,k)-v(i-1,J,k))*G%IdxBu(I-1,J)))) & + + ((str_xy(I,J-1)-RoScl*bhstr_xy(I,J-1)) * & + (((u(I,j,k)-u(I,j-1,k))*G%IdyBu(I,J-1)) & + + ((v(i+1,J-1,k)-v(i,J-1,k))*G%IdxBu(I,J-1)))) ) ) ) enddo ; enddo endif ! MEKE%backscatter_Ro_c @@ -2640,34 +2640,34 @@ subroutine hor_visc_init(Time, G, GV, US, param_file, diag, CS, ADp) ! empirically work for CS%bound_coef <~ 1.0 if (CS%biharmonic .and. CS%better_bound_Ah) then do j=js-1,Jeq+1 ; do I=is-2,Ieq+1 - u0u(I,j) = (CS%Idxdy2u(I,j)*(CS%dy2h(i+1,j)*CS%DY_dxT(i+1,j)*(G%IdyCu(I+1,j) + G%IdyCu(I,j)) + & - CS%dy2h(i,j) * CS%DY_dxT(i,j) * (G%IdyCu(I,j) + G%IdyCu(I-1,j)) ) + & - CS%Idx2dyCu(I,j)*(CS%dx2q(I,J) * CS%DX_dyBu(I,J) * (G%IdxCu(I,j+1) + G%IdxCu(I,j)) + & - CS%dx2q(I,J-1)*CS%DX_dyBu(I,J-1)*(G%IdxCu(I,j) + G%IdxCu(I,j-1)) ) ) - u0v(I,j) = (CS%Idxdy2u(I,j)*(CS%dy2h(i+1,j)*CS%DX_dyT(i+1,j)*(G%IdxCv(i+1,J) + G%IdxCv(i+1,J-1)) + & - CS%dy2h(i,j) * CS%DX_dyT(i,j) * (G%IdxCv(i,J) + G%IdxCv(i,J-1)) ) + & - CS%Idx2dyCu(I,j)*(CS%dx2q(I,J) * CS%DY_dxBu(I,J) * (G%IdyCv(i+1,J) + G%IdyCv(i,J)) + & - CS%dx2q(I,J-1)*CS%DY_dxBu(I,J-1)*(G%IdyCv(i+1,J-1) + G%IdyCv(i,J-1)) ) ) + u0u(I,j) = ((CS%Idxdy2u(I,j)*((CS%dy2h(i+1,j)*CS%DY_dxT(i+1,j)*(G%IdyCu(I+1,j) + G%IdyCu(I,j))) + & + (CS%dy2h(i,j) * CS%DY_dxT(i,j) * (G%IdyCu(I,j) + G%IdyCu(I-1,j))) )) + & + (CS%Idx2dyCu(I,j)*((CS%dx2q(I,J) * CS%DX_dyBu(I,J) * (G%IdxCu(I,j+1) + G%IdxCu(I,j))) + & + (CS%dx2q(I,J-1)*CS%DX_dyBu(I,J-1)*(G%IdxCu(I,j) + G%IdxCu(I,j-1))) )) ) + u0v(I,j) = ((CS%Idxdy2u(I,j)*((CS%dy2h(i+1,j)*CS%DX_dyT(i+1,j)*(G%IdxCv(i+1,J) + G%IdxCv(i+1,J-1))) + & + (CS%dy2h(i,j) * CS%DX_dyT(i,j) * (G%IdxCv(i,J) + G%IdxCv(i,J-1))) )) + & + (CS%Idx2dyCu(I,j)*((CS%dx2q(I,J) * CS%DY_dxBu(I,J) * (G%IdyCv(i+1,J) + G%IdyCv(i,J))) + & + (CS%dx2q(I,J-1)*CS%DY_dxBu(I,J-1)*(G%IdyCv(i+1,J-1) + G%IdyCv(i,J-1))) )) ) enddo ; enddo do J=js-2,Jeq+1 ; do i=is-1,Ieq+1 - v0u(i,J) = (CS%Idxdy2v(i,J)*(CS%dy2q(I,J) * CS%DX_dyBu(I,J) * (G%IdxCu(I,j+1) + G%IdxCu(I,j)) + & - CS%dy2q(I-1,J)*CS%DX_dyBu(I-1,J)*(G%IdxCu(I-1,j+1) + G%IdxCu(I-1,j)) ) + & - CS%Idx2dyCv(i,J)*(CS%dx2h(i,j+1)*CS%DY_dxT(i,j+1)*(G%IdyCu(I,j+1) + G%IdyCu(I-1,j+1)) + & - CS%dx2h(i,j) * CS%DY_dxT(i,j) * (G%IdyCu(I,j) + G%IdyCu(I-1,j)) ) ) - v0v(i,J) = (CS%Idxdy2v(i,J)*(CS%dy2q(I,J) * CS%DY_dxBu(I,J) * (G%IdyCv(i+1,J) + G%IdyCv(i,J)) + & - CS%dy2q(I-1,J)*CS%DY_dxBu(I-1,J)*(G%IdyCv(i,J) + G%IdyCv(i-1,J)) ) + & - CS%Idx2dyCv(i,J)*(CS%dx2h(i,j+1)*CS%DX_dyT(i,j+1)*(G%IdxCv(i,J+1) + G%IdxCv(i,J)) + & - CS%dx2h(i,j) * CS%DX_dyT(i,j) * (G%IdxCv(i,J) + G%IdxCv(i,J-1)) ) ) + v0u(i,J) = ((CS%Idxdy2v(i,J)*((CS%dy2q(I,J) * CS%DX_dyBu(I,J) * (G%IdxCu(I,j+1) + G%IdxCu(I,j))) + & + (CS%dy2q(I-1,J)*CS%DX_dyBu(I-1,J)*(G%IdxCu(I-1,j+1) + G%IdxCu(I-1,j))) )) + & + (CS%Idx2dyCv(i,J)*((CS%dx2h(i,j+1)*CS%DY_dxT(i,j+1)*(G%IdyCu(I,j+1) + G%IdyCu(I-1,j+1))) + & + (CS%dx2h(i,j) * CS%DY_dxT(i,j) * (G%IdyCu(I,j) + G%IdyCu(I-1,j))) ) )) + v0v(i,J) = ((CS%Idxdy2v(i,J)*((CS%dy2q(I,J) * CS%DY_dxBu(I,J) * (G%IdyCv(i+1,J) + G%IdyCv(i,J))) + & + (CS%dy2q(I-1,J)*CS%DY_dxBu(I-1,J)*(G%IdyCv(i,J) + G%IdyCv(i-1,J))) )) + & + (CS%Idx2dyCv(i,J)*((CS%dx2h(i,j+1)*CS%DX_dyT(i,j+1)*(G%IdxCv(i,J+1) + G%IdxCv(i,J))) + & + (CS%dx2h(i,j) * CS%DX_dyT(i,j) * (G%IdxCv(i,J) + G%IdxCv(i,J-1))) )) ) enddo ; enddo do j=js-1,Jeq+1 ; do i=is-1,Ieq+1 denom = max( & (CS%dy2h(i,j) * & - (CS%DY_dxT(i,j)*(G%IdyCu(I,j)*u0u(I,j) + G%IdyCu(I-1,j)*u0u(I-1,j)) + & - CS%DX_dyT(i,j)*(G%IdxCv(i,J)*v0u(i,J) + G%IdxCv(i,J-1)*v0u(i,J-1))) * & - max(G%IdyCu(I,j)*G%IareaCu(I,j), G%IdyCu(I-1,j)*G%IareaCu(I-1,j)) ), & + ((CS%DY_dxT(i,j)*((G%IdyCu(I,j)*u0u(I,j)) + (G%IdyCu(I-1,j)*u0u(I-1,j)))) + & + (CS%DX_dyT(i,j)*((G%IdxCv(i,J)*v0u(i,J)) + (G%IdxCv(i,J-1)*v0u(i,J-1))))) * & + max(G%IdyCu(I,j)*G%IareaCu(I,j), G%IdyCu(I-1,j)*G%IareaCu(I-1,j)) ), & (CS%dx2h(i,j) * & - (CS%DY_dxT(i,j)*(G%IdyCu(I,j)*u0v(I,j) + G%IdyCu(I-1,j)*u0v(I-1,j)) + & - CS%DX_dyT(i,j)*(G%IdxCv(i,J)*v0v(i,J) + G%IdxCv(i,J-1)*v0v(i,J-1))) * & + ((CS%DY_dxT(i,j)*((G%IdyCu(I,j)*u0v(I,j)) + (G%IdyCu(I-1,j)*u0v(I-1,j)))) + & + (CS%DX_dyT(i,j)*((G%IdxCv(i,J)*v0v(i,J)) + (G%IdxCv(i,J-1)*v0v(i,J-1))))) * & max(G%IdxCv(i,J)*G%IareaCv(i,J), G%IdxCv(i,J-1)*G%IareaCv(i,J-1)) ) ) CS%Ah_Max_xx(I,J) = 0.0 if (denom > 0.0) & @@ -2676,12 +2676,12 @@ subroutine hor_visc_init(Time, G, GV, US, param_file, diag, CS, ADp) do J=js-1,Jeq ; do I=is-1,Ieq denom = max( & (CS%dx2q(I,J) * & - (CS%DX_dyBu(I,J)*(u0u(I,j+1)*G%IdxCu(I,j+1) + u0u(I,j)*G%IdxCu(I,j)) + & - CS%DY_dxBu(I,J)*(v0u(i+1,J)*G%IdyCv(i+1,J) + v0u(i,J)*G%IdyCv(i,J))) * & - max(G%IdxCu(I,j)*G%IareaCu(I,j), G%IdxCu(I,j+1)*G%IareaCu(I,j+1)) ), & + ((CS%DX_dyBu(I,J)*((u0u(I,j+1)*G%IdxCu(I,j+1)) + (u0u(I,j)*G%IdxCu(I,j)))) + & + (CS%DY_dxBu(I,J)*((v0u(i+1,J)*G%IdyCv(i+1,J)) + (v0u(i,J)*G%IdyCv(i,J))))) * & + max(G%IdxCu(I,j)*G%IareaCu(I,j), G%IdxCu(I,j+1)*G%IareaCu(I,j+1)) ), & (CS%dy2q(I,J) * & - (CS%DX_dyBu(I,J)*(u0v(I,j+1)*G%IdxCu(I,j+1) + u0v(I,j)*G%IdxCu(I,j)) + & - CS%DY_dxBu(I,J)*(v0v(i+1,J)*G%IdyCv(i+1,J) + v0v(i,J)*G%IdyCv(i,J))) * & + ((CS%DX_dyBu(I,J)*((u0v(I,j+1)*G%IdxCu(I,j+1)) + (u0v(I,j)*G%IdxCu(I,j)))) + & + (CS%DY_dxBu(I,J)*((v0v(i+1,J)*G%IdyCv(i+1,J)) + (v0v(i,J)*G%IdyCv(i,J))))) * & max(G%IdyCv(i,J)*G%IareaCv(i,J), G%IdyCv(i+1,J)*G%IareaCv(i+1,J)) ) ) CS%Ah_Max_xy(I,J) = 0.0 if (denom > 0.0) & @@ -2857,12 +2857,12 @@ subroutine align_aniso_tensor_to_grid(CS, n1, n2) ! Local variables real :: recip_n2_norm ! The inverse of the squared magnitude of n1 and n2 [nondim] ! For normalizing n=(n1,n2) in case arguments are not a unit vector - recip_n2_norm = n1**2 + n2**2 + recip_n2_norm = (n1**2) + (n2**2) if (recip_n2_norm > 0.) recip_n2_norm = 1. / recip_n2_norm CS%n1n2_h(:,:) = 2. * ( n1 * n2 ) * recip_n2_norm CS%n1n2_q(:,:) = 2. * ( n1 * n2 ) * recip_n2_norm - CS%n1n1_m_n2n2_h(:,:) = ( n1 * n1 - n2 * n2 ) * recip_n2_norm - CS%n1n1_m_n2n2_q(:,:) = ( n1 * n1 - n2 * n2 ) * recip_n2_norm + CS%n1n1_m_n2n2_h(:,:) = ( (n1 * n1) - (n2 * n2) ) * recip_n2_norm + CS%n1n1_m_n2n2_q(:,:) = ( (n1 * n1) - (n2 * n2) ) * recip_n2_norm end subroutine align_aniso_tensor_to_grid !> Apply a 1-1-4-1-1 Laplacian filter one time on GME diffusive flux to reduce any diff --git a/src/parameterizations/lateral/MOM_interface_filter.F90 b/src/parameterizations/lateral/MOM_interface_filter.F90 index 07b698e294..42782e86a1 100644 --- a/src/parameterizations/lateral/MOM_interface_filter.F90 +++ b/src/parameterizations/lateral/MOM_interface_filter.F90 @@ -123,11 +123,11 @@ subroutine interface_filter(h, uhtr, vhtr, tv, dt, G, GV, US, CDp, CS) if (CS%isotropic_filter) then !$OMP parallel do default(shared) do j=js-hs,je+hs ; do I=is-(hs+1),ie+hs - Lsm2_u(I,j) = (0.25*filter_strength) / (G%IdxCu(I,j)**2 + G%IdyCu(I,j)**2) + Lsm2_u(I,j) = (0.25*filter_strength) / ((G%IdxCu(I,j)**2) + (G%IdyCu(I,j)**2)) enddo ; enddo !$OMP parallel do default(shared) do J=js-(hs+1),je+hs ; do i=is-hs,ie+hs - Lsm2_v(i,J) = (0.25*filter_strength) / (G%IdxCv(i,J)**2 + G%IdyCv(i,J)**2) + Lsm2_v(i,J) = (0.25*filter_strength) / ((G%IdxCv(i,J)**2) + (G%IdyCv(i,J)**2)) enddo ; enddo else !$OMP parallel do default(shared) diff --git a/src/parameterizations/lateral/MOM_internal_tides.F90 b/src/parameterizations/lateral/MOM_internal_tides.F90 index 5b9ce4934c..b1e84a74f7 100644 --- a/src/parameterizations/lateral/MOM_internal_tides.F90 +++ b/src/parameterizations/lateral/MOM_internal_tides.F90 @@ -361,8 +361,8 @@ subroutine propagate_int_tide(h, tv, Nb, Rho_bot, dt, G, GV, US, inttide_input_C if (CS%energized_angle <= 0) then frac_per_sector = 1.0 / real(CS%nAngle) do m=1,CS%nMode ; do fr=1,CS%nFreq ; do a=1,CS%nAngle ; do j=js,je ; do i=is,ie - f2 = 0.25*((G%CoriolisBu(I,J)**2 + G%CoriolisBu(I-1,J-1)**2) + & - (G%CoriolisBu(I-1,J)**2 + G%CoriolisBu(I,J-1)**2)) + f2 = 0.25*((G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I-1,J-1)) + & + (G%Coriolis2Bu(I-1,J) + G%Coriolis2Bu(I,J-1))) if (CS%frequency(fr)**2 > f2) & CS%En(i,j,a,fr,m) = CS%En(i,j,a,fr,m) + dt*frac_per_sector*(1.0-CS%q_itides) * & CS%fraction_tidal_input(fr,m) * TKE_itidal_input(i,j,fr) @@ -371,8 +371,8 @@ subroutine propagate_int_tide(h, tv, Nb, Rho_bot, dt, G, GV, US, inttide_input_C frac_per_sector = 1.0 a = CS%energized_angle do m=1,CS%nMode ; do fr=1,CS%nFreq ; do j=js,je ; do i=is,ie - f2 = 0.25*((G%CoriolisBu(I,J)**2 + G%CoriolisBu(I-1,J-1)**2) + & - (G%CoriolisBu(I-1,J)**2 + G%CoriolisBu(I,J-1)**2)) + f2 = 0.25*((G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I-1,J-1)) + & + (G%Coriolis2Bu(I-1,J) + G%Coriolis2Bu(I,J-1))) if (CS%frequency(fr)**2 > f2) & CS%En(i,j,a,fr,m) = CS%En(i,j,a,fr,m) + dt*frac_per_sector*(1.0-CS%q_itides) * & CS%fraction_tidal_input(fr,m) * TKE_itidal_input(i,j,fr) @@ -630,8 +630,8 @@ subroutine propagate_int_tide(h, tv, Nb, Rho_bot, dt, G, GV, US, inttide_input_C do j=js,je ; do i=is,ie id_g = i + G%idg_offset ; jd_g = j + G%jdg_offset ! for debugging ! Calculate horizontal phase velocity magnitudes - f2 = 0.25*((G%CoriolisBu(I,J)**2 + G%CoriolisBu(I-1,J-1)**2) + & - (G%CoriolisBu(I-1,J)**2 + G%CoriolisBu(I,J-1)**2)) + f2 = 0.25*((G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I-1,J-1)) + & + (G%Coriolis2Bu(I-1,J) + G%Coriolis2Bu(I,J-1))) Kmag2 = (freq2 - f2) / (cn(i,j,m)**2 + cn_subRO**2) c_phase = 0.0 if (Kmag2 > 0.0) then @@ -1134,8 +1134,8 @@ subroutine refract(En, cn, freq, dt, G, US, NAngle, use_PPMang) ! Do the refraction. do i=is,ie - f2 = 0.25* ((G%CoriolisBu(I,J)**2 + G%CoriolisBu(I-1,J-1)**2) + & - (G%CoriolisBu(I,J-1)**2 + G%CoriolisBu(I-1,J)**2)) + f2 = 0.25* ((G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I-1,J-1)) + & + (G%Coriolis2Bu(I,J-1) + G%Coriolis2Bu(I-1,J))) favg = 0.25*((G%CoriolisBu(I,J) + G%CoriolisBu(I-1,J-1)) + & (G%CoriolisBu(I,J-1) + G%CoriolisBu(I-1,J))) df_dx = 0.5*((G%CoriolisBu(I,J) + G%CoriolisBu(I,J-1)) - & @@ -1355,7 +1355,7 @@ subroutine propagate(En, cn, freq, dt, G, US, CS, NAngle, residual_loss) ! Fix indexing here later speed(:,:) = 0.0 do J=jsh-1,jeh ; do I=ish-1,ieh - f2 = G%CoriolisBu(I,J)**2 + f2 = G%Coriolis2Bu(I,J) speed(I,J) = 0.25*((cn(i,j) + cn(i+1,j+1)) + (cn(i+1,j) + cn(i,j+1))) * & sqrt(max(freq2 - f2, 0.0)) * Ifreq enddo ; enddo @@ -1385,12 +1385,12 @@ subroutine propagate(En, cn, freq, dt, G, US, CS, NAngle, residual_loss) enddo do j=jsh,jeh ; do I=ish-1,ieh - f2 = 0.5 * (G%CoriolisBu(I,J)**2 + G%CoriolisBu(I,J-1)**2) + f2 = 0.5 * (G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I,J-1)) speed_x(I,j) = 0.5*(cn(i,j) + cn(i+1,j)) * G%mask2dCu(I,j) * & sqrt(max(freq2 - f2, 0.0)) * Ifreq enddo ; enddo do J=jsh-1,jeh ; do i=ish,ieh - f2 = 0.5 * (G%CoriolisBu(I,J)**2 + G%CoriolisBu(I-1,J)**2) + f2 = 0.5 * (G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I-1,J)) speed_y(i,J) = 0.5*(cn(i,j) + cn(i,j+1)) * G%mask2dCv(i,J) * & sqrt(max(freq2 - f2, 0.0)) * Ifreq enddo ; enddo @@ -1580,28 +1580,28 @@ subroutine propagate_corner_spread(En, energized_wedge, NAngle, speed, dt, G, CS !a3 = (yW - yNW)*(0.5*(xW + xNW)) !a4 = (yNW - yN)*(0.5*(xNW + xN)) !aW = a1 + a2 + a3 + a4 - aW = 0.5 * ((yCrn - yNW)*(xW - xN) + (xCrn - xNW)*(yN - yW)) + aW = 0.5 * (((yCrn - yNW)*(xW - xN)) + ((xCrn - xNW)*(yN - yW))) ! southwest area !a1 = (yCrn - yS)*(0.5*(xCrn + xS)) !a2 = (yS - ySW)*(0.5*(xS + xSW)) !a3 = (ySW - yW)*(0.5*(xSW + xW)) !a4 = (yW - yCrn)*(0.5*(xW + xCrn)) !aSW = a1 + a2 + a3 + a4 - aSW = 0.5 * ((yCrn - ySW)*(xS - xW) + (xCrn - xSW)*(yW - yS)) + aSW = 0.5 * (((yCrn - ySW)*(xS - xW)) + ((xCrn - xSW)*(yW - yS))) ! south area !a1 = (yE - ySE)*(0.5*(xE + xSE)) !a2 = (ySE - yS)*(0.5*(xSE + xS)) !a3 = (yS - yCrn)*(0.5*(xS + xCrn)) !a4 = (yCrn - yE)*(0.5*(xCrn + xE)) !aS = a1 + a2 + a3 + a4 - aS = 0.5 * ((yCrn - ySE)*(xE - xS) + (xCrn - xSE)*(yS - yE)) + aS = 0.5 * (((yCrn - ySE)*(xE - xS)) + ((xCrn - xSE)*(yS - yE))) ! area within cell !a1 = (yNE - yE)*(0.5*(xNE + xE)) !a2 = (yE - yCrn)*(0.5*(xE + xCrn)) !a3 = (yCrn - yN)*(0.5*(xCrn + xN)) !a4 = (yN - yNE)*(0.5*(xN + xNE)) !aC = a1 + a2 + a3 + a4 - aC = 0.5 * ((yCrn - yNE)*(xN - xE) + (xCrn - xNE)*(yE - yN)) + aC = 0.5 * (((yCrn - yNE)*(xN - xE)) + ((xCrn - xNE)*(yE - yN))) elseif (0.25*TwoPi <= theta .and. theta < 0.5*TwoPi) then xCrn = x(I,J-1); yCrn = y(I,J-1) ! south area @@ -1610,28 +1610,28 @@ subroutine propagate_corner_spread(En, energized_wedge, NAngle, speed, dt, G, CS !a3 = (ySW - yW)*(0.5*(xSW + xW)) !a4 = (yW - yCrn)*(0.5*(xW + xCrn)) !aS = a1 + a2 + a3 + a4 - aS = 0.5 * ((yCrn - ySW)*(xS - xW) + (xCrn - xSW)*(yW - yS)) + aS = 0.5 * (((yCrn - ySW)*(xS - xW)) + ((xCrn - xSW)*(yW - yS))) ! southeast area !a1 = (yE - ySE)*(0.5*(xE + xSE)) !a2 = (ySE - yS)*(0.5*(xSE + xS)) !a3 = (yS - yCrn)*(0.5*(xS + xCrn)) !a4 = (yCrn - yE)*(0.5*(xCrn + xE)) !aSE = a1 + a2 + a3 + a4 - aSE = 0.5 * ((yCrn - ySE)*(xE - xS) + (xCrn - xSE)*(yS - yE)) + aSE = 0.5 * (((yCrn - ySE)*(xE - xS)) + ((xCrn - xSE)*(yS - yE))) ! east area !a1 = (yNE - yE)*(0.5*(xNE + xE)) !a2 = (yE - yCrn)*(0.5*(xE + xCrn)) !a3 = (yCrn - yN)*(0.5*(xCrn + xN)) !a4 = (yN - yNE)*(0.5*(xN + xNE)) !aE = a1 + a2 + a3 + a4 - aE = 0.5 * ((yCrn - yNE)*(xN - xE) + (xCrn - xNE)*(yE - yN)) + aE = 0.5 * (((yCrn - yNE)*(xN - xE)) + ((xCrn - xNE)*(yE - yN))) ! area within cell !a1 = (yN - yCrn)*(0.5*(xN + xCrn)) !a2 = (yCrn - yW)*(0.5*(xCrn + xW)) !a3 = (yW - yNW)*(0.5*(xW + xNW)) !a4 = (yNW - yN)*(0.5*(xNW + xN)) !aC = a1 + a2 + a3 + a4 - aC = 0.5 * ((yCrn - yNW)*(xW - xN) + (xCrn - xNW)*(yN - yW)) + aC = 0.5 * (((yCrn - yNW)*(xW - xN)) + ((xCrn - xNW)*(yN - yW))) elseif (0.5*TwoPi <= theta .and. theta < 0.75*TwoPi) then xCrn = x(I,J); yCrn = y(I,J) ! east area @@ -1640,28 +1640,28 @@ subroutine propagate_corner_spread(En, energized_wedge, NAngle, speed, dt, G, CS !a3 = (yS - yCrn)*(0.5*(xS + xCrn)) !a4 = (yCrn - yE)*(0.5*(xCrn + xE)) !aE = a1 + a2 + a3 + a4 - aE = 0.5 * ((yCrn - ySE)*(xE - xS) + (xCrn - xSE)*(yS - yE)) + aE = 0.5 * (((yCrn - ySE)*(xE - xS)) + ((xCrn - xSE)*(yS - yE))) ! northeast area !a1 = (yNE - yE)*(0.5*(xNE + xE)) !a2 = (yE - yCrn)*(0.5*(xE + xCrn)) !a3 = (yCrn - yN)*(0.5*(xCrn + xN)) !a4 = (yN - yNE)*(0.5*(xN + xNE)) !aNE = a1 + a2 + a3 + a4 - aNE = 0.5 * ((yCrn - yNE)*(xN - xE) + (xCrn - xNE)*(yE - yN)) + aNE = 0.5 * (((yCrn - yNE)*(xN - xE)) + ((xCrn - xNE)*(yE - yN))) ! north area !a1 = (yN - yCrn)*(0.5*(xN + xCrn)) !a2 = (yCrn - yW)*(0.5*(xCrn + xW)) !a3 = (yW - yNW)*(0.5*(xW + xNW)) !a4 = (yNW - yN)*(0.5*(xNW + xN)) !aN = a1 + a2 + a3 + a4 - aN = 0.5 * ((yCrn - yNW)*(xW - xN) + (xCrn - xNW)*(yN - yW)) + aN = 0.5 * (((yCrn - yNW)*(xW - xN)) + ((xCrn - xNW)*(yN - yW))) ! area within cell !a1 = (yCrn - yS)*(0.5*(xCrn + xS)) !a2 = (yS - ySW)*(0.5*(xS + xSW)) !a3 = (ySW - yW)*(0.5*(xSW + xW)) !a4 = (yW - yCrn)*(0.5*(xW + xCrn)) !aC = a1 + a2 + a3 + a4 - aC = 0.5 * ((yCrn - ySW)*(xS - xW) + (xCrn - xSW)*(yW - yS)) + aC = 0.5 * (((yCrn - ySW)*(xS - xW)) + ((xCrn - xSW)*(yW - yS))) elseif (0.75*TwoPi <= theta .and. theta <= 1.00*TwoPi) then xCrn = x(I-1,J); yCrn = y(I-1,J) ! north area @@ -1670,37 +1670,37 @@ subroutine propagate_corner_spread(En, energized_wedge, NAngle, speed, dt, G, CS !a3 = (yCrn - yN)*(0.5*(xCrn + xN)) !a4 = (yN - yNE)*(0.5*(xN + xNE)) !aN = a1 + a2 + a3 + a4 - aN = 0.5 * ((yCrn - yNE)*(xN - xE) + (xCrn - xNE)*(yE - yN)) + aN = 0.5 * (((yCrn - yNE)*(xN - xE)) + ((xCrn - xNE)*(yE - yN))) ! northwest area !a1 = (yN - yCrn)*(0.5*(xN + xCrn)) !a2 = (yCrn - yW)*(0.5*(xCrn + xW)) !a3 = (yW - yNW)*(0.5*(xW + xNW)) !a4 = (yNW - yN)*(0.5*(xNW + xN)) !aNW = a1 + a2 + a3 + a4 - aNW = 0.5 * ((yCrn - yNW)*(xW - xN) + (xCrn - xNW)*(yN - yW)) + aNW = 0.5 * (((yCrn - yNW)*(xW - xN)) + ((xCrn - xNW)*(yN - yW))) ! west area !a1 = (yCrn - yS)*(0.5*(xCrn + xS)) !a2 = (yS - ySW)*(0.5*(xS + xSW)) !a3 = (ySW - yW)*(0.5*(xSW + xW)) !a4 = (yW - yCrn)*(0.5*(xW + xCrn)) !aW = a1 + a2 + a3 + a4 - aW = 0.5 * ((yCrn - ySW)*(xS - xW) + (xCrn - xSW)*(yW - yS)) + aW = 0.5 * (((yCrn - ySW)*(xS - xW)) + ((xCrn - xSW)*(yW - yS))) ! area within cell !a1 = (yE - ySE)*(0.5*(xE + xSE)) !a2 = (ySE - yS)*(0.5*(xSE + xS)) !a3 = (yS - yCrn)*(0.5*(xS + xCrn)) !a4 = (yCrn - yE)*(0.5*(xCrn + xE)) !aC = a1 + a2 + a3 + a4 - aC = 0.5 * ((yCrn - ySE)*(xE - xS) + (xCrn - xSE)*(yS - yE)) + aC = 0.5 * (((yCrn - ySE)*(xE - xS)) + ((xCrn - xSE)*(yS - yE))) endif ! energy weighting ---------------------------------------- a_total = (((aNE + aSW) + (aNW + aSE)) + ((aN + aS) + (aW + aE))) + aC - E_new(m) = ( ( ( ( aNE*En(i+1,j+1) + aSW*En(i-1,j-1) ) + & - ( aNW*En(i-1,j+1) + aSE*En(i+1,j-1) ) ) + & - ( ( aN*En(i,j+1) + aS*En(i,j-1) ) + & - ( aW*En(i-1,j) + aE*En(i+1,j) ) ) ) + & + E_new(m) = ( ( ( ( (aNE*En(i+1,j+1)) + (aSW*En(i-1,j-1)) ) + & + ( (aNW*En(i-1,j+1)) + (aSE*En(i+1,j-1)) ) ) + & + ( ( (aN*En(i,j+1)) + (aS*En(i,j-1)) ) + & + ( (aW*En(i-1,j)) + (aE*En(i+1,j)) ) ) ) + & aC*En(i,j) ) / ( dx(i,j)*dy(i,j) ) enddo ! m-loop ! update energy in cell @@ -1767,8 +1767,8 @@ subroutine propagate_x(En, speed_x, Cgx_av, dCgx, dt, G, US, Nangle, CS, LB, res Fdt_p(i,j,a) = -dt*flux_x(I,j) ! right face influx [R Z3 L2 T-2 ~> J] residual_loss(i,j,a) = residual_loss(i,j,a) + & - (abs(flux_x(I-1,j)) * CS%residual(i,j) * G%IareaT(i,j) + & - abs(flux_x(I,j)) * CS%residual(i,j) * G%IareaT(i,j)) + ((abs(flux_x(I-1,j)) * CS%residual(i,j) * G%IareaT(i,j)) + & + (abs(flux_x(I,j)) * CS%residual(i,j) * G%IareaT(i,j))) enddo ; enddo enddo ! a-loop @@ -1848,8 +1848,8 @@ subroutine propagate_y(En, speed_y, Cgy_av, dCgy, dt, G, US, Nangle, CS, LB, res Fdt_p(i,j,a) = -dt*flux_y(i,J) ! north face influx [R Z3 L2 T-2 ~> J] residual_loss(i,j,a) = residual_loss(i,j,a) + & - (abs(flux_y(i,J-1)) * CS%residual(i,j) * G%IareaT(i,j) + & - abs(flux_y(i,J)) * CS%residual(i,j) * G%IareaT(i,j)) + ((abs(flux_y(i,J-1)) * CS%residual(i,j) * G%IareaT(i,j)) + & + (abs(flux_y(i,J)) * CS%residual(i,j) * G%IareaT(i,j))) !if ((En(i,j,a) + G%IareaT(i,j)*(Fdt_m(i,j,a) + Fdt_p(i,j,a))) < 0.0) then ! for debugging ! call MOM_error(WARNING, "propagate_y: OutFlux>Available prior to reflection", .true.) diff --git a/src/parameterizations/lateral/MOM_lateral_mixing_coeffs.F90 b/src/parameterizations/lateral/MOM_lateral_mixing_coeffs.F90 index defbd78aa7..d124450536 100644 --- a/src/parameterizations/lateral/MOM_lateral_mixing_coeffs.F90 +++ b/src/parameterizations/lateral/MOM_lateral_mixing_coeffs.F90 @@ -593,8 +593,8 @@ subroutine calc_Visbeck_coeffs_old(h, slope_x, slope_y, N2_u, N2_v, G, GV, US, C wNE = G%mask2dCv(i+1,J ) * ( (h(i+1,j,k)*h(i+1,j+1,k)) * (h(i+1,j,k-1)*h(i+1,j+1,k-1)) ) wSW = G%mask2dCv(i ,J-1) * ( (h(i ,j,k)*h(i ,j-1,k)) * (h(i ,j,k-1)*h(i ,j-1,k-1)) ) S2 = slope_x(I,j,K)**2 + & - ((wNW*slope_y(i,J,K)**2 + wSE*slope_y(i+1,J-1,K)**2) + & - (wNE*slope_y(i+1,J,K)**2 + wSW*slope_y(i,J-1,K)**2) ) / & + (((wNW*slope_y(i,J,K)**2) + (wSE*slope_y(i+1,J-1,K)**2)) + & + ((wNE*slope_y(i+1,J,K)**2) + (wSW*slope_y(i,J-1,K)**2)) ) / & ( ((wSE+wNW) + (wNE+wSW)) + GV%H_subroundoff**4 ) if (S2max>0.) S2 = S2 * S2max / (S2 + S2max) ! Limit S2 @@ -629,8 +629,8 @@ subroutine calc_Visbeck_coeffs_old(h, slope_x, slope_y, N2_u, N2_v, G, GV, US, C wNE = G%mask2dCu(I,j+1) * ( (h(i,j+1,k)*h(i+1,j+1,k)) * (h(i,j+1,k-1)*h(i+1,j+1,k-1)) ) wSW = G%mask2dCu(I-1,j) * ( (h(i,j ,k)*h(i-1,j ,k)) * (h(i,j ,k-1)*h(i-1,j ,k-1)) ) S2 = slope_y(i,J,K)**2 + & - ((wSE*slope_x(I,j,K)**2 + wNW*slope_x(I-1,j+1,K)**2) + & - (wNE*slope_x(I,j+1,K)**2 + wSW*slope_x(I-1,j,K)**2) ) / & + (((wSE*slope_x(I,j,K)**2) + (wNW*slope_x(I-1,j+1,K)**2)) + & + ((wNE*slope_x(I,j+1,K)**2) + (wSW*slope_x(I-1,j,K)**2)) ) / & ( ((wSE+wNW) + (wNE+wSW)) + GV%H_subroundoff**4 ) if (S2max>0.) S2 = S2 * S2max / (S2 + S2max) ! Limit S2 @@ -800,15 +800,15 @@ subroutine calc_Eady_growth_rate_2D(CS, G, GV, US, h, e, dzu, dzv, dzSxN, dzSyN, do j=G%jsc,G%jec do I=G%isc-1,G%iec CS%SN_u(I,j) = sqrt( SN_cpy(I,j)**2 & - + 0.25*( (CS%SN_v(i,J)**2 + CS%SN_v(i+1,J-1)**2) & - + (CS%SN_v(i+1,J)**2 + CS%SN_v(i,J-1)**2) ) ) + + 0.25*( ((CS%SN_v(i,J)**2) + (CS%SN_v(i+1,J-1)**2)) & + + ((CS%SN_v(i+1,J)**2) + (CS%SN_v(i,J-1)**2)) ) ) enddo enddo do J=G%jsc-1,G%jec do i=G%isc,G%iec CS%SN_v(i,J) = sqrt( CS%SN_v(i,J)**2 & - + 0.25*( (SN_cpy(I,j)**2 + SN_cpy(I-1,j+1)**2) & - + (SN_cpy(I,j+1)**2 + SN_cpy(I-1,j)**2) ) ) + + 0.25*( ((SN_cpy(I,j)**2) + (SN_cpy(I-1,j+1)**2)) & + + ((SN_cpy(I,j+1)**2) + (SN_cpy(I-1,j)**2)) ) ) enddo enddo @@ -920,7 +920,7 @@ subroutine calc_slope_functions_using_just_e(h, G, GV, US, CS, e, calculate_slop ! Calculate N*S*h from this layer and add to the sum do j=js,je ; do I=is-1,ie S2 = ( E_x(I,j)**2 + 0.25*( & - (E_y(i,J)**2+E_y(i+1,J-1)**2) + (E_y(i+1,J)**2+E_y(i,J-1)**2) ) ) + ((E_y(i,J)**2) + (E_y(i+1,J-1)**2)) + ((E_y(i+1,J)**2) + (E_y(i,J-1)**2)) ) ) if (min(h(i,j,k-1), h(i+1,j,k-1), h(i,j,k), h(i+1,j,k)) < H_cutoff) S2 = 0.0 Hdn = 2.*h(i,j,k)*h(i,j,k-1) / (h(i,j,k) + h(i,j,k-1) + h_neglect) @@ -931,7 +931,7 @@ subroutine calc_slope_functions_using_just_e(h, G, GV, US, CS, e, calculate_slop enddo ; enddo do J=js-1,je ; do i=is,ie S2 = ( E_y(i,J)**2 + 0.25*( & - (E_x(I,j)**2+E_x(I-1,j+1)**2) + (E_x(I,j+1)**2+E_x(I-1,j)**2) ) ) + ((E_x(I,j)**2) + (E_x(I-1,j+1)**2)) + ((E_x(I,j+1)**2) + (E_x(I-1,j)**2)) ) ) if (min(h(i,j,k-1), h(i,j+1,k-1), h(i,j,k), h(i,j+1,k)) < H_cutoff) S2 = 0.0 Hdn = 2.*h(i,j,k)*h(i,j,k-1) / (h(i,j,k) + h(i,j,k-1) + h_neglect) @@ -1105,16 +1105,16 @@ subroutine calc_QG_Leith_viscosity(CS, G, GV, US, h, dz, k, div_xx_dx, div_xx_dy do J=js-2,je+1 ; do i=is-1,ie+1 f = 0.5 * ( G%CoriolisBu(I,J) + G%CoriolisBu(I-1,J) ) vort_xy_dx(i,J) = vort_xy_dx(i,J) - f * & - ( ( h_at_u(I,j) * dslopex_dz(I,j) + h_at_u(I-1,j+1) * dslopex_dz(I-1,j+1) ) & - + ( h_at_u(I-1,j) * dslopex_dz(I-1,j) + h_at_u(I,j+1) * dslopex_dz(I,j+1) ) ) / & + ( ( (h_at_u(I,j) * dslopex_dz(I,j)) + (h_at_u(I-1,j+1) * dslopex_dz(I-1,j+1)) ) & + + ( (h_at_u(I-1,j) * dslopex_dz(I-1,j)) + (h_at_u(I,j+1) * dslopex_dz(I,j+1)) ) ) / & ( ( h_at_u(I,j) + h_at_u(I-1,j+1) ) + ( h_at_u(I-1,j) + h_at_u(I,j+1) ) + GV%H_subroundoff) enddo ; enddo do j=js-1,je+1 ; do I=is-2,ie+1 f = 0.5 * ( G%CoriolisBu(I,J) + G%CoriolisBu(I,J-1) ) vort_xy_dy(I,j) = vort_xy_dy(I,j) - f * & - ( ( h_at_v(i,J) * dslopey_dz(i,J) + h_at_v(i+1,J-1) * dslopey_dz(i+1,J-1) ) & - + ( h_at_v(i,J-1) * dslopey_dz(i,J-1) + h_at_v(i+1,J) * dslopey_dz(i+1,J) ) ) / & + ( ( (h_at_v(i,J) * dslopey_dz(i,J)) + (h_at_v(i+1,J-1) * dslopey_dz(i+1,J-1)) ) & + + ( (h_at_v(i,J-1) * dslopey_dz(i,J-1)) + (h_at_v(i+1,J) * dslopey_dz(i+1,J)) ) ) / & ( ( h_at_v(i,J) + h_at_v(i+1,J-1) ) + ( h_at_v(i,J-1) + h_at_v(i+1,J) ) + GV%H_subroundoff) enddo ; enddo endif ! k > 1 @@ -1515,35 +1515,35 @@ subroutine VarMix_init(Time, G, GV, US, param_file, diag, CS) endif do J=js-1,Jeq ; do I=is-1,Ieq - CS%f2_dx2_q(I,J) = (G%dxBu(I,J)**2 + G%dyBu(I,J)**2) * & - max(G%CoriolisBu(I,J)**2, absurdly_small_freq**2) - CS%beta_dx2_q(I,J) = oneOrTwo * ((G%dxBu(I,J))**2 + (G%dyBu(I,J))**2) * (sqrt(0.5 * & - ( (((G%CoriolisBu(I,J)-G%CoriolisBu(I-1,J)) * G%IdxCv(i,J))**2 + & - ((G%CoriolisBu(I+1,J)-G%CoriolisBu(I,J)) * G%IdxCv(i+1,J))**2) + & - (((G%CoriolisBu(I,J)-G%CoriolisBu(I,J-1)) * G%IdyCu(I,j))**2 + & - ((G%CoriolisBu(I,J+1)-G%CoriolisBu(I,J)) * G%IdyCu(I,j+1))**2) ) )) + CS%f2_dx2_q(I,J) = ((G%dxBu(I,J)**2) + (G%dyBu(I,J)**2)) * & + max(G%Coriolis2Bu(I,J), absurdly_small_freq**2) + CS%beta_dx2_q(I,J) = oneOrTwo * ((G%dxBu(I,J)**2) + (G%dyBu(I,J)**2)) * (sqrt(0.5 * & + ( ((((G%CoriolisBu(I,J)-G%CoriolisBu(I-1,J)) * G%IdxCv(i,J))**2) + & + (((G%CoriolisBu(I+1,J)-G%CoriolisBu(I,J)) * G%IdxCv(i+1,J))**2)) + & + ((((G%CoriolisBu(I,J)-G%CoriolisBu(I,J-1)) * G%IdyCu(I,j))**2) + & + (((G%CoriolisBu(I,J+1)-G%CoriolisBu(I,J)) * G%IdyCu(I,j+1))**2)) ) )) enddo ; enddo do j=js,je ; do I=is-1,Ieq - CS%f2_dx2_u(I,j) = (G%dxCu(I,j)**2 + G%dyCu(I,j)**2) * & - max(0.5* (G%CoriolisBu(I,J)**2+G%CoriolisBu(I,J-1)**2), absurdly_small_freq**2) - CS%beta_dx2_u(I,j) = oneOrTwo * ((G%dxCu(I,j))**2 + (G%dyCu(I,j))**2) * (sqrt( & - 0.25*( (((G%CoriolisBu(I,J-1)-G%CoriolisBu(I-1,J-1)) * G%IdxCv(i,J-1))**2 + & - ((G%CoriolisBu(I+1,J)-G%CoriolisBu(I,J)) * G%IdxCv(i+1,J))**2) + & - (((G%CoriolisBu(I+1,J-1)-G%CoriolisBu(I,J-1)) * G%IdxCv(i+1,J-1))**2 + & - ((G%CoriolisBu(I,J)-G%CoriolisBu(I-1,J)) * G%IdxCv(i,J))**2) ) + & - ((G%CoriolisBu(I,J)-G%CoriolisBu(I,J-1)) * G%IdyCu(I,j))**2 )) + CS%f2_dx2_u(I,j) = ((G%dxCu(I,j)**2) + (G%dyCu(I,j)**2)) * & + max(0.5* (G%Coriolis2Bu(I,J)+G%Coriolis2Bu(I,J-1)), absurdly_small_freq**2) + CS%beta_dx2_u(I,j) = oneOrTwo * ((G%dxCu(I,j)**2) + (G%dyCu(I,j)**2)) * (sqrt( & + ((G%CoriolisBu(I,J)-G%CoriolisBu(I,J-1)) * G%IdyCu(I,j))**2 + & + 0.25*( ((((G%CoriolisBu(I,J-1)-G%CoriolisBu(I-1,J-1)) * G%IdxCv(i,J-1))**2) + & + (((G%CoriolisBu(I+1,J)-G%CoriolisBu(I,J)) * G%IdxCv(i+1,J))**2)) + & + ((((G%CoriolisBu(I+1,J-1)-G%CoriolisBu(I,J-1)) * G%IdxCv(i+1,J-1))**2) + & + (((G%CoriolisBu(I,J)-G%CoriolisBu(I-1,J)) * G%IdxCv(i,J))**2)) ) )) enddo ; enddo do J=js-1,Jeq ; do i=is,ie - CS%f2_dx2_v(i,J) = ((G%dxCv(i,J))**2 + (G%dyCv(i,J))**2) * & - max(0.5*(G%CoriolisBu(I,J)**2+G%CoriolisBu(I-1,J)**2), absurdly_small_freq**2) - CS%beta_dx2_v(i,J) = oneOrTwo * ((G%dxCv(i,J))**2 + (G%dyCv(i,J))**2) * (sqrt( & + CS%f2_dx2_v(i,J) = ((G%dxCv(i,J)**2) + (G%dyCv(i,J)**2)) * & + max(0.5*(G%Coriolis2Bu(I,J)+G%Coriolis2Bu(I-1,J)), absurdly_small_freq**2) + CS%beta_dx2_v(i,J) = oneOrTwo * ((G%dxCv(i,J)**2) + (G%dyCv(i,J)**2)) * (sqrt( & ((G%CoriolisBu(I,J)-G%CoriolisBu(I-1,J)) * G%IdxCv(i,J))**2 + & - 0.25*( (((G%CoriolisBu(I,J)-G%CoriolisBu(I,J-1)) * G%IdyCu(I,j))**2 + & - ((G%CoriolisBu(I-1,J+1)-G%CoriolisBu(I-1,J)) * G%IdyCu(I-1,j+1))**2) + & - (((G%CoriolisBu(I,J+1)-G%CoriolisBu(I,J)) * G%IdyCu(I,j+1))**2 + & - ((G%CoriolisBu(I-1,J)-G%CoriolisBu(I-1,J-1)) * G%IdyCu(I-1,j))**2) ) )) + 0.25*( ((((G%CoriolisBu(I,J)-G%CoriolisBu(I,J-1)) * G%IdyCu(I,j))**2) + & + (((G%CoriolisBu(I-1,J+1)-G%CoriolisBu(I-1,J)) * G%IdyCu(I-1,j+1))**2)) + & + ((((G%CoriolisBu(I,J+1)-G%CoriolisBu(I,J)) * G%IdyCu(I,j+1))**2) + & + (((G%CoriolisBu(I-1,J)-G%CoriolisBu(I-1,J-1)) * G%IdyCu(I-1,j))**2)) ) )) enddo ; enddo endif @@ -1571,15 +1571,15 @@ subroutine VarMix_init(Time, G, GV, US, param_file, diag, CS) allocate(CS%beta_dx2_h(isd:ied,jsd:jed), source=0.0) allocate(CS%f2_dx2_h(isd:ied,jsd:jed), source=0.0) do j=js-1,je+1 ; do i=is-1,ie+1 - CS%f2_dx2_h(i,j) = (G%dxT(i,j)**2 + G%dyT(i,j)**2) * & - max(0.25 * ((G%CoriolisBu(I,J)**2 + G%CoriolisBu(I-1,J-1)**2) + & - (G%CoriolisBu(I-1,J)**2 + G%CoriolisBu(I,J-1)**2)), & + CS%f2_dx2_h(i,j) = ((G%dxT(i,j)**2) + (G%dyT(i,j)**2)) * & + max(0.25 * ((G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I-1,J-1)) + & + (G%Coriolis2Bu(I-1,J) + G%Coriolis2Bu(I,J-1))), & absurdly_small_freq**2) - CS%beta_dx2_h(i,j) = oneOrTwo * ((G%dxT(i,j))**2 + (G%dyT(i,j))**2) * (sqrt(0.5 * & - ( (((G%CoriolisBu(I,J)-G%CoriolisBu(I-1,J)) * G%IdxCv(i,J))**2 + & - ((G%CoriolisBu(I,J-1)-G%CoriolisBu(I-1,J-1)) * G%IdxCv(i,J-1))**2) + & - (((G%CoriolisBu(I,J)-G%CoriolisBu(I,J-1)) * G%IdyCu(I,j))**2 + & - ((G%CoriolisBu(I-1,J)-G%CoriolisBu(I-1,J-1)) * G%IdyCu(I-1,j))**2) ) )) + CS%beta_dx2_h(i,j) = oneOrTwo * ((G%dxT(i,j)**2) + (G%dyT(i,j)**2)) * (sqrt(0.5 * & + ( ((((G%CoriolisBu(I,J)-G%CoriolisBu(I-1,J)) * G%IdxCv(i,J))**2) + & + (((G%CoriolisBu(I,J-1)-G%CoriolisBu(I-1,J-1)) * G%IdxCv(i,J-1))**2)) + & + ((((G%CoriolisBu(I,J)-G%CoriolisBu(I,J-1)) * G%IdyCu(I,j))**2) + & + (((G%CoriolisBu(I-1,J)-G%CoriolisBu(I-1,J-1)) * G%IdyCu(I-1,j))**2)) ) )) enddo ; enddo endif diff --git a/src/parameterizations/lateral/MOM_mixed_layer_restrat.F90 b/src/parameterizations/lateral/MOM_mixed_layer_restrat.F90 index e7ada31430..7f3403aef5 100644 --- a/src/parameterizations/lateral/MOM_mixed_layer_restrat.F90 +++ b/src/parameterizations/lateral/MOM_mixed_layer_restrat.F90 @@ -504,7 +504,7 @@ subroutine mixedlayer_restrat_OM4(h, uhtr, vhtr, tv, forces, dt, h_MLD, VarMix, absf = 0.5*(abs(G%CoriolisBu(I,J-1)) + abs(G%CoriolisBu(I,J))) ! If needed, res_scaling_fac = min( ds, L_d ) / l_f if (res_upscale) res_scaling_fac = & - ( sqrt( 0.5 * ( G%dxCu(I,j)**2 + G%dyCu(I,j)**2 ) ) * I_LFront ) & + ( sqrt( 0.5 * ( (G%dxCu(I,j)**2) + (G%dyCu(I,j)**2) ) ) * I_LFront ) & * min( 1., 0.5*( VarMix%Rd_dx_h(i,j) + VarMix%Rd_dx_h(i+1,j) ) ) ! peak ML visc: u_star * von_Karman * (h_ml*u_star)/(absf*h_ml + 4.0*u_star) @@ -591,7 +591,7 @@ subroutine mixedlayer_restrat_OM4(h, uhtr, vhtr, tv, forces, dt, h_MLD, VarMix, absf = 0.5*(abs(G%CoriolisBu(I-1,J)) + abs(G%CoriolisBu(I,J))) ! If needed, res_scaling_fac = min( ds, L_d ) / l_f if (res_upscale) res_scaling_fac = & - ( sqrt( 0.5 * ( (G%dxCv(i,J))**2 + (G%dyCv(i,J))**2 ) ) * I_LFront ) & + ( sqrt( 0.5 * ( (G%dxCv(i,J)**2) + (G%dyCv(i,J)**2) ) ) * I_LFront ) & * min( 1., 0.5*( VarMix%Rd_dx_h(i,j) + VarMix%Rd_dx_h(i,j+1) ) ) ! peak ML visc: u_star * von_Karman * (h_ml*u_star)/(absf*h_ml + 4.0*u_star) diff --git a/src/parameterizations/lateral/MOM_thickness_diffuse.F90 b/src/parameterizations/lateral/MOM_thickness_diffuse.F90 index 178e6f76e2..d42d9600ce 100644 --- a/src/parameterizations/lateral/MOM_thickness_diffuse.F90 +++ b/src/parameterizations/lateral/MOM_thickness_diffuse.F90 @@ -218,12 +218,12 @@ subroutine thickness_diffuse(h, uhtr, vhtr, tv, dt, G, GV, US, MEKE, VarMix, CDp !$OMP parallel do default(shared) do j=js,je ; do I=is-1,ie KH_u_CFL(I,j) = (0.25*CS%max_Khth_CFL) / & - (dt * (G%IdxCu(I,j)*G%IdxCu(I,j) + G%IdyCu(I,j)*G%IdyCu(I,j))) + (dt * ((G%IdxCu(I,j)*G%IdxCu(I,j)) + (G%IdyCu(I,j)*G%IdyCu(I,j)))) enddo ; enddo !$OMP parallel do default(shared) do j=js-1,je ; do I=is,ie KH_v_CFL(i,J) = (0.25*CS%max_Khth_CFL) / & - (dt * (G%IdxCv(i,J)*G%IdxCv(i,J) + G%IdyCv(i,J)*G%IdyCv(i,J))) + (dt * ((G%IdxCv(i,J)*G%IdxCv(i,J)) + (G%IdyCv(i,J)*G%IdyCv(i,J)))) enddo ; enddo ! Calculates interface heights, e, in [Z ~> m]. @@ -535,8 +535,8 @@ subroutine thickness_diffuse(h, uhtr, vhtr, tv, dt, G, GV, US, MEKE, VarMix, CDp enddo ; enddo ! diagnose diffusivity at T-points do j=js,je ; do i=is,ie - Kh_t(i,j,k) = ((hu(I-1,j)*KH_u_lay(i-1,j) + hu(I,j)*KH_u_lay(I,j)) + & - (hv(i,J-1)*KH_v_lay(i,J-1) + hv(i,J)*KH_v_lay(i,J))) / & + Kh_t(i,j,k) = (((hu(I-1,j)*KH_u_lay(i-1,j)) + (hu(I,j)*KH_u_lay(I,j))) + & + ((hv(i,J-1)*KH_v_lay(i,J-1)) + (hv(i,J)*KH_v_lay(i,J)))) / & ((hu(I-1,j)+hu(I,j)) + (hv(i,J-1)+hv(i,J)) + 1.0e-20) ! Use this denominator instead if hu and hv are actual thicknesses rather than a 0/1 mask: ! ((hu(I-1,j)+hu(I,j)) + (hv(i,J-1)+hv(i,J)) + h_neglect) @@ -916,9 +916,9 @@ subroutine thickness_diffuse_full(h, e, Kh_u, Kh_v, tv, uhD, vhD, cg1, dt, G, GV drho_dS_u(I) * (S(i,j,k)-S(i,j,k-1))) drdkR = (drho_dT_u(I) * (T(i+1,j,k)-T(i+1,j,k-1)) + & drho_dS_u(I) * (S(i+1,j,k)-S(i+1,j,k-1))) - drdkDe_u(I,K) = drdkR * e(i+1,j,K) - drdkL * e(i,j,K) + drdkDe_u(I,K) = (drdkR * e(i+1,j,K)) - (drdkL * e(i,j,K)) elseif (find_work) then ! This is used in pure stacked SW mode - drdkDe_u(I,K) = drdkR * e(i+1,j,K) - drdkL * e(i,j,K) + drdkDe_u(I,K) = (drdkR * e(i+1,j,K)) - (drdkL * e(i,j,K)) endif if (use_stanley) then ! Correction to the horizontal density gradient due to nonlinearity in @@ -950,7 +950,7 @@ subroutine thickness_diffuse_full(h, e, Kh_u, Kh_v, tv, uhD, vhD, cg1, dt, G, GV ! These unnormalized weights have been rearranged to minimize divisions. wtL = hg2L*(haR*dzaR) ; wtR = hg2R*(haL*dzaL) - drdz = (wtL * drdkL + wtR * drdkR) / (dzaL*wtL + dzaR*wtR) + drdz = ((wtL * drdkL) + (wtR * drdkR)) / ((dzaL*wtL) + (dzaR*wtR)) ! The expression for drdz above is mathematically equivalent to: ! drdz = ((hg2L/haL) * drdkL/dzaL + (hg2R/haR) * drdkR/dzaR) / & ! ((hg2L/haL) + (hg2R/haR)) @@ -963,7 +963,7 @@ subroutine thickness_diffuse_full(h, e, Kh_u, Kh_v, tv, uhD, vhD, cg1, dt, G, GV N2_unlim = drdz*G_rho0 else N2_unlim = (GV%g_Earth*GV%RZ_to_H) * & - ((wtL * drdkL + wtR * drdkR) / (haL*wtL + haR*wtR)) + (((wtL * drdkL) + (wtR * drdkR)) / ((haL*wtL) + (haR*wtR))) endif dzg2A = dz(i,j,k-1)*dz(i+1,j,k-1) + dz_neglect2 @@ -1082,10 +1082,10 @@ subroutine thickness_diffuse_full(h, e, Kh_u, Kh_v, tv, uhD, vhD, cg1, dt, G, GV if (allocated(tv%SpV_avg) .and. (find_work .or. (k > nk_linear)) ) then Rho_avg = ( ((h(i,j,k) + h(i,j,k-1)) + (h(i+1,j,k) + h(i+1,j,k-1))) + 4.0*hn_2 ) / & - ( ((h(i,j,k)+hn_2) * tv%SpV_avg(i,j,k) + (h(i,j,k-1)+hn_2) * tv%SpV_avg(i,j,k-1)) + & - ((h(i+1,j,k)+hn_2)*tv%SpV_avg(i+1,j,k) + (h(i+1,j,k-1)+hn_2)*tv%SpV_avg(i+1,j,k-1)) ) + ( (((h(i,j,k)+hn_2) * tv%SpV_avg(i,j,k)) + ((h(i,j,k-1)+hn_2) * tv%SpV_avg(i,j,k-1))) + & + (((h(i+1,j,k)+hn_2)*tv%SpV_avg(i+1,j,k)) + ((h(i+1,j,k-1)+hn_2)*tv%SpV_avg(i+1,j,k-1))) ) ! Use an average density to convert the volume streamfunction estimate into a mass streamfunction. - Z_to_H = (GV%RZ_to_H*Rho_avg) + Z_to_H = GV%RZ_to_H*Rho_avg else Z_to_H = GV%Z_to_H endif @@ -1235,9 +1235,9 @@ subroutine thickness_diffuse_full(h, e, Kh_u, Kh_v, tv, uhD, vhD, cg1, dt, G, GV drho_dS_v(i) * (S(i,j,k)-S(i,j,k-1))) drdkR = (drho_dT_v(i) * (T(i,j+1,k)-T(i,j+1,k-1)) + & drho_dS_v(i) * (S(i,j+1,k)-S(i,j+1,k-1))) - drdkDe_v(i,K) = drdkR * e(i,j+1,K) - drdkL * e(i,j,K) + drdkDe_v(i,K) = (drdkR * e(i,j+1,K)) - (drdkL * e(i,j,K)) elseif (find_work) then ! This is used in pure stacked SW mode - drdkDe_v(i,K) = drdkR * e(i,j+1,K) - drdkL * e(i,j,K) + drdkDe_v(i,K) = (drdkR * e(i,j+1,K)) - (drdkL * e(i,j,K)) endif if (use_stanley) then ! Correction to the horizontal density gradient due to nonlinearity in @@ -1271,7 +1271,7 @@ subroutine thickness_diffuse_full(h, e, Kh_u, Kh_v, tv, uhD, vhD, cg1, dt, G, GV ! These unnormalized weights have been rearranged to minimize divisions. wtL = hg2L*(haR*dzaR) ; wtR = hg2R*(haL*dzaL) - drdz = (wtL * drdkL + wtR * drdkR) / (dzaL*wtL + dzaR*wtR) + drdz = ((wtL * drdkL) + (wtR * drdkR)) / ((dzaL*wtL) + (dzaR*wtR)) ! The expression for drdz above is mathematically equivalent to: ! drdz = ((hg2L/haL) * drdkL/dzaL + (hg2R/haR) * drdkR/dzaR) / & ! ((hg2L/haL) + (hg2R/haR)) @@ -1284,7 +1284,7 @@ subroutine thickness_diffuse_full(h, e, Kh_u, Kh_v, tv, uhD, vhD, cg1, dt, G, GV N2_unlim = drdz*G_rho0 else N2_unlim = (GV%g_Earth*GV%RZ_to_H) * & - ((wtL * drdkL + wtR * drdkR) / (haL*wtL + haR*wtR)) + (((wtL * drdkL) + (wtR * drdkR)) / ((haL*wtL) + (haR*wtR))) endif dzg2A = dz(i,j,k-1)*dz(i,j+1,k-1) + dz_neglect2 @@ -1401,10 +1401,10 @@ subroutine thickness_diffuse_full(h, e, Kh_u, Kh_v, tv, uhD, vhD, cg1, dt, G, GV do i=is,ie if (allocated(tv%SpV_avg) .and. (find_work .or. (k > nk_linear)) ) then Rho_avg = ( ((h(i,j,k) + h(i,j,k-1)) + (h(i,j+1,k) + h(i,j+1,k-1))) + 4.0*hn_2 ) / & - ( ((h(i,j,k)+hn_2) * tv%SpV_avg(i,j,k) + (h(i,j,k-1)+hn_2) * tv%SpV_avg(i,j,k-1)) + & - ((h(i,j+1,k)+hn_2)*tv%SpV_avg(i,j+1,k) + (h(i,j+1,k-1)+hn_2)*tv%SpV_avg(i,j+1,k-1)) ) + ( (((h(i,j,k)+hn_2) * tv%SpV_avg(i,j,k)) + ((h(i,j,k-1)+hn_2) * tv%SpV_avg(i,j,k-1))) + & + (((h(i,j+1,k)+hn_2)*tv%SpV_avg(i,j+1,k)) + ((h(i,j+1,k-1)+hn_2)*tv%SpV_avg(i,j+1,k-1))) ) ! Use an average density to convert the volume streamfunction estimate into a mass streamfunction. - Z_to_H = (GV%RZ_to_H*Rho_avg) + Z_to_H = GV%RZ_to_H*Rho_avg else Z_to_H = GV%Z_to_H endif @@ -1510,7 +1510,7 @@ subroutine thickness_diffuse_full(h, e, Kh_u, Kh_v, tv, uhD, vhD, cg1, dt, G, GV drho_dS_u(I) * (S(i+1,j,1)-S(i,j,1)) if (allocated(tv%SpV_avg)) then G_scale = GV%H_to_RZ * GV%g_Earth * & - ( ((h(i,j,1)+hn_2) * tv%SpV_avg(i,j,1) + (h(i+1,j,1)+hn_2) * tv%SpV_avg(i+1,j,1)) / & + ( ( ((h(i,j,1)+hn_2) * tv%SpV_avg(i,j,1)) + ((h(i+1,j,1)+hn_2) * tv%SpV_avg(i+1,j,1)) ) / & ( (h(i,j,1) + h(i+1,j,1)) + 2.0*hn_2 ) ) endif endif @@ -1547,7 +1547,7 @@ subroutine thickness_diffuse_full(h, e, Kh_u, Kh_v, tv, uhD, vhD, cg1, dt, G, GV drho_dS_v(i) * (S(i,j+1,1)-S(i,j,1)) if (allocated(tv%SpV_avg)) then G_scale = GV%H_to_RZ * GV%g_Earth * & - ( ((h(i,j,1)+hn_2) * tv%SpV_avg(i,j,1) + (h(i,j+1,1)+hn_2) * tv%SpV_avg(i,j+1,1)) / & + ( ( ((h(i,j,1)+hn_2) * tv%SpV_avg(i,j,1)) + ((h(i,j+1,1)+hn_2) * tv%SpV_avg(i,j+1,1)) ) / & ( (h(i,j,1) + h(i,j+1,1)) + 2.0*hn_2 ) ) endif endif @@ -1572,22 +1572,23 @@ subroutine thickness_diffuse_full(h, e, Kh_u, Kh_v, tv, uhD, vhD, cg1, dt, G, GV if (CS%MEKE_src_answer_date >= 20240601) then do j=js,je ; do i=is,ie ; do k=nz,1,-1 PE_release_h = -0.25 * GV%H_to_RZ * & - ( (KH_u(I,j,k)*(Slope_x_PE(I,j,k)**2) * hN2_x_PE(I,j,k) + & - Kh_u(I-1,j,k)*(Slope_x_PE(I-1,j,k)**2) * hN2_x_PE(I-1,j,k)) + & - (Kh_v(i,J,k)*(Slope_y_PE(i,J,k)**2) * hN2_y_PE(i,J,k) + & - Kh_v(i,J-1,k)*(Slope_y_PE(i,J-1,k)**2) * hN2_y_PE(i,J-1,k)) ) + ( ((KH_u(I,j,k)*(Slope_x_PE(I,j,k)**2) * hN2_x_PE(I,j,k)) + & + (Kh_u(I-1,j,k)*(Slope_x_PE(I-1,j,k)**2) * hN2_x_PE(I-1,j,k))) + & + ((Kh_v(i,J,k)*(Slope_y_PE(i,J,k)**2) * hN2_y_PE(i,J,k)) + & + (Kh_v(i,J-1,k)*(Slope_y_PE(i,J-1,k)**2) * hN2_y_PE(i,J-1,k))) ) MEKE%GM_src(i,j) = MEKE%GM_src(i,j) + PE_release_h enddo ; enddo ; enddo else do j=js,je ; do i=is,ie ; do k=nz,1,-1 PE_release_h = -0.25 * GV%H_to_RZ * & - (KH_u(I,j,k)*(Slope_x_PE(I,j,k)**2) * hN2_x_PE(I,j,k) + & - Kh_u(I-1,j,k)*(Slope_x_PE(I-1,j,k)**2) * hN2_x_PE(I-1,j,k) + & - Kh_v(i,J,k)*(Slope_y_PE(i,J,k)**2) * hN2_y_PE(i,J,k) + & - Kh_v(i,J-1,k)*(Slope_y_PE(i,J-1,k)**2) * hN2_y_PE(i,J-1,k)) + ((KH_u(I,j,k)*(Slope_x_PE(I,j,k)**2) * hN2_x_PE(I,j,k)) + & + (Kh_u(I-1,j,k)*(Slope_x_PE(I-1,j,k)**2) * hN2_x_PE(I-1,j,k)) + & + (Kh_v(i,J,k)*(Slope_y_PE(i,J,k)**2) * hN2_y_PE(i,J,k)) + & + (Kh_v(i,J-1,k)*(Slope_y_PE(i,J-1,k)**2) * hN2_y_PE(i,J-1,k))) MEKE%GM_src(i,j) = MEKE%GM_src(i,j) + PE_release_h enddo ; enddo ; enddo endif + if (CS%debug) then call hchksum(MEKE%GM_src, 'MEKE%GM_src', G%HI, scale=US%RZ3_T3_to_W_m2*US%L_to_Z**2) call uvchksum("KH_[uv]", Kh_u, Kh_v, G%HI, scale=US%L_to_m**2*US%s_to_T, & @@ -2198,11 +2199,11 @@ subroutine thickness_diffuse_init(Time, G, GV, US, param_file, diag, CDp, CS) allocate(CS%Kh_eta_u(G%IsdB:G%IedB, G%jsd:G%jed), source=0.) allocate(CS%Kh_eta_v(G%isd:G%ied, G%JsdB:G%JedB), source=0.) do j=G%jsc,G%jec ; do I=G%isc-1,G%iec - grid_sp = sqrt((2.0*G%dxCu(I,j)**2 * G%dyCu(I,j)**2) / (G%dxCu(I,j)**2 + G%dyCu(I,j)**2)) + grid_sp = sqrt((2.0*G%dxCu(I,j)**2 * G%dyCu(I,j)**2) / ((G%dxCu(I,j)**2) + (G%dyCu(I,j)**2))) CS%Kh_eta_u(I,j) = G%OBCmaskCu(I,j) * MAX(0.0, CS%Kh_eta_bg + CS%Kh_eta_vel * grid_sp) enddo ; enddo do J=G%jsc-1,G%jec ; do i=G%isc,G%iec - grid_sp = sqrt((2.0*G%dxCv(i,J)**2 * G%dyCv(i,J)**2) / (G%dxCv(i,J)**2 + G%dyCv(i,J)**2)) + grid_sp = sqrt((2.0*G%dxCv(i,J)**2 * G%dyCv(i,J)**2) / ((G%dxCv(i,J)**2) + (G%dyCv(i,J)**2))) CS%Kh_eta_v(i,J) = G%OBCmaskCv(i,J) * MAX(0.0, CS%Kh_eta_bg + CS%Kh_eta_vel * grid_sp) enddo ; enddo endif diff --git a/src/parameterizations/vertical/MOM_CVMix_KPP.F90 b/src/parameterizations/vertical/MOM_CVMix_KPP.F90 index f480c655d7..a21b992147 100644 --- a/src/parameterizations/vertical/MOM_CVMix_KPP.F90 +++ b/src/parameterizations/vertical/MOM_CVMix_KPP.F90 @@ -1143,7 +1143,7 @@ subroutine KPP_compute_BLD(CS, G, GV, US, h, Temp, Salt, u, v, tv, uStar, buoyFl Vk = Vk + (0.5*(Waves%Us_y(i,j,k)+Waves%Us_y(i,j-1,k)) - surfVs ) endif - deltaU2(k) = US%L_T_to_m_s**2 * (Uk**2 + Vk**2) + deltaU2(k) = US%L_T_to_m_s**2 * ((Uk**2) + (Vk**2)) ! pressure, temperature, and salinity for calling the equation of state ! kk+1 = surface fields diff --git a/src/parameterizations/vertical/MOM_CVMix_shear.F90 b/src/parameterizations/vertical/MOM_CVMix_shear.F90 index 829318b606..46d7b98502 100644 --- a/src/parameterizations/vertical/MOM_CVMix_shear.F90 +++ b/src/parameterizations/vertical/MOM_CVMix_shear.F90 @@ -145,7 +145,7 @@ subroutine calculate_CVMix_shear(u_H, v_H, h, tv, kd, kv, G, GV, US, CS ) endif dz_int = 0.5*(dz(i,km1) + dz(i,k)) + GV%dZ_subroundoff N2 = DRHO / dz_int - S2 = US%L_to_Z**2*(DU*DU + DV*DV) / (dz_int*dz_int) + S2 = US%L_to_Z**2*((DU*DU) + (DV*DV)) / (dz_int*dz_int) Ri_Grad(k) = max(0., N2) / max(S2, 1.e-10*US%T_to_s**2) ! fill 3d arrays, if user asks for diagnostics diff --git a/src/parameterizations/vertical/MOM_bulk_mixed_layer.F90 b/src/parameterizations/vertical/MOM_bulk_mixed_layer.F90 index 561ace60a7..930e4f9513 100644 --- a/src/parameterizations/vertical/MOM_bulk_mixed_layer.F90 +++ b/src/parameterizations/vertical/MOM_bulk_mixed_layer.F90 @@ -912,7 +912,7 @@ subroutine convective_adjustment(h, u, v, R0, SpV0, Rcv, T, S, eps, d_eb, & do k1=min(nzc-1,nkmb),1,-1 do i=is,ie h_orig_k1(i) = h(i,k1) - KE_orig(i) = 0.5*h(i,k1)*(u(i,k1)**2 + v(i,k1)**2) + KE_orig(i) = 0.5*h(i,k1)*((u(i,k1)**2) + (v(i,k1)**2)) uhtot(i) = h(i,k1)*u(i,k1) ; vhtot(i) = h(i,k1)*v(i,k1) if (CS%nonBous_energetics) then SpV0_tot(i) = SpV0(i,k1) * h(i,k1) @@ -949,7 +949,7 @@ subroutine convective_adjustment(h, u, v, R0, SpV0, Rcv, T, S, eps, d_eb, & dKE_CA(i,k1) = dKE_CA(i,k1) + dKE_CA(i,k) endif KE_orig(i) = KE_orig(i) + 0.5*h_ent* & - (u(i,k)*u(i,k) + v(i,k)*v(i,k)) + ((u(i,k)*u(i,k)) + (v(i,k)*v(i,k))) uhtot(i) = uhtot(i) + h_ent*u(i,k) vhtot(i) = vhtot(i) + h_ent*v(i,k) @@ -974,7 +974,7 @@ subroutine convective_adjustment(h, u, v, R0, SpV0, Rcv, T, S, eps, d_eb, & endif u(i,k1) = uhtot(i) * Ih ; v(i,k1) = vhtot(i) * Ih dKE_CA(i,k1) = dKE_CA(i,k1) + CS%bulk_Ri_convective * & - (KE_orig(i) - 0.5*h(i,k1)*(u(i,k1)**2 + v(i,k1)**2)) + (KE_orig(i) - 0.5*h(i,k1)*((u(i,k1)**2) + (v(i,k1)**2))) Rcv(i,k1) = Rcv_tot(i) * Ih T(i,k1) = Ttot(i) * Ih ; S(i,k1) = Stot(i) * Ih endif ; enddo @@ -1407,7 +1407,7 @@ subroutine mixedlayer_convection(h, d_eb, htot, Ttot, Stot, uhtot, vhtot, & if ((h_ent > 0.0) .and. (htot(i) > 0.0)) & dKE_FC(i) = dKE_FC(i) + CS%bulk_Ri_convective * 0.5 * & ((h_ent) / (htot(i)*(h_ent+htot(i)))) * & - ((uhtot(i)-u(i,k)*htot(i))**2 + (vhtot(i)-v(i,k)*htot(i))**2) + (((uhtot(i)-u(i,k)*htot(i))**2) + ((vhtot(i)-v(i,k)*htot(i))**2)) if (h_ent > 0.0) then htot(i) = htot(i) + h_ent @@ -1785,7 +1785,7 @@ subroutine mechanical_entrainment(h, d_eb, htot, Ttot, Stot, uhtot, vhtot, & dRL = g_H_2Rho0 * (R0(i,k)*htot(i) - R0_tot(i) ) endif dMKE = CS%bulk_Ri_ML * 0.5 * & - ((uhtot(i)-u(i,k)*htot(i))**2 + (vhtot(i)-v(i,k)*htot(i))**2) + (((uhtot(i)-u(i,k)*htot(i))**2) + ((vhtot(i)-v(i,k)*htot(i))**2)) ! Find the TKE that would remain if the entire layer were entrained. kh = Idecay_len_TKE(i)*h_avail ; exp_kh = exp(-kh) diff --git a/src/parameterizations/vertical/MOM_diabatic_aux.F90 b/src/parameterizations/vertical/MOM_diabatic_aux.F90 index aa31024b24..51e9b33d97 100644 --- a/src/parameterizations/vertical/MOM_diabatic_aux.F90 +++ b/src/parameterizations/vertical/MOM_diabatic_aux.F90 @@ -574,17 +574,17 @@ subroutine find_uv_at_h(u, v, h, u_h, v_h, G, GV, US, ea, eb, zero_mix) b_denom_1 = h(i,j,1) + h_neglect b1(i) = 1.0 / (b_denom_1 + eb(i,j,1)) d1(i) = b_denom_1 * b1(i) - u_h(i,j,1) = (h(i,j,1)*b1(i)) * (a_e(i)*u(I,j,1) + a_w(i)*u(I-1,j,1)) - v_h(i,j,1) = (h(i,j,1)*b1(i)) * (a_n(i)*v(i,J,1) + a_s(i)*v(i,J-1,1)) + u_h(i,j,1) = (h(i,j,1)*b1(i)) * ((a_e(i)*u(I,j,1)) + (a_w(i)*u(I-1,j,1))) + v_h(i,j,1) = (h(i,j,1)*b1(i)) * ((a_n(i)*v(i,J,1)) + (a_s(i)*v(i,J-1,1))) enddo do k=2,nz ; do i=is,ie c1(i,k) = eb(i,j,k-1) * b1(i) b_denom_1 = h(i,j,k) + d1(i)*ea(i,j,k) + h_neglect b1(i) = 1.0 / (b_denom_1 + eb(i,j,k)) d1(i) = b_denom_1 * b1(i) - u_h(i,j,k) = (h(i,j,k) * (a_e(i)*u(I,j,k) + a_w(i)*u(I-1,j,k)) + & + u_h(i,j,k) = (h(i,j,k) * ((a_e(i)*u(I,j,k)) + (a_w(i)*u(I-1,j,k))) + & ea(i,j,k)*u_h(i,j,k-1))*b1(i) - v_h(i,j,k) = (h(i,j,k) * (a_n(i)*v(i,J,k) + a_s(i)*v(i,J-1,k)) + & + v_h(i,j,k) = (h(i,j,k) * ((a_n(i)*v(i,J,k)) + (a_s(i)*v(i,J-1,k))) + & ea(i,j,k)*v_h(i,j,k-1))*b1(i) enddo ; enddo do k=nz-1,1,-1 ; do i=is,ie @@ -594,18 +594,18 @@ subroutine find_uv_at_h(u, v, h, u_h, v_h, G, GV, US, ea, eb, zero_mix) elseif (zero_mixing) then do i=is,ie b1(i) = 1.0 / (h(i,j,1) + h_neglect) - u_h(i,j,1) = (h(i,j,1)*b1(i)) * (a_e(i)*u(I,j,1) + a_w(i)*u(I-1,j,1)) - v_h(i,j,1) = (h(i,j,1)*b1(i)) * (a_n(i)*v(i,J,1) + a_s(i)*v(i,J-1,1)) + u_h(i,j,1) = (h(i,j,1)*b1(i)) * ((a_e(i)*u(I,j,1)) + (a_w(i)*u(I-1,j,1))) + v_h(i,j,1) = (h(i,j,1)*b1(i)) * ((a_n(i)*v(i,J,1)) + (a_s(i)*v(i,J-1,1))) enddo do k=2,nz ; do i=is,ie b1(i) = 1.0 / (h(i,j,k) + h_neglect) - u_h(i,j,k) = (h(i,j,k) * (a_e(i)*u(I,j,k) + a_w(i)*u(I-1,j,k))) * b1(i) - v_h(i,j,k) = (h(i,j,k) * (a_n(i)*v(i,J,k) + a_s(i)*v(i,J-1,k))) * b1(i) + u_h(i,j,k) = (h(i,j,k) * ((a_e(i)*u(I,j,k)) + (a_w(i)*u(I-1,j,k)))) * b1(i) + v_h(i,j,k) = (h(i,j,k) * ((a_n(i)*v(i,J,k)) + (a_s(i)*v(i,J-1,k)))) * b1(i) enddo ; enddo else do k=1,nz ; do i=is,ie - u_h(i,j,k) = a_e(i)*u(I,j,k) + a_w(i)*u(I-1,j,k) - v_h(i,j,k) = a_n(i)*v(i,J,k) + a_s(i)*v(i,J-1,k) + u_h(i,j,k) = (a_e(i)*u(I,j,k)) + (a_w(i)*u(I-1,j,k)) + v_h(i,j,k) = (a_n(i)*v(i,J,k)) + (a_s(i)*v(i,J-1,k)) enddo ; enddo endif enddo diff --git a/src/parameterizations/vertical/MOM_energetic_PBL.F90 b/src/parameterizations/vertical/MOM_energetic_PBL.F90 index 10907c04ed..f10e2f445d 100644 --- a/src/parameterizations/vertical/MOM_energetic_PBL.F90 +++ b/src/parameterizations/vertical/MOM_energetic_PBL.F90 @@ -1171,7 +1171,7 @@ subroutine ePBL_column(h, dz, u, v, T0, S0, dSV_dT, dSV_dS, SpV_dt, TKE_forcing, ! velocities between layer k and the layers above. dMKE_max = (US%L_to_Z**2*GV%H_to_RZ * CS%MKE_to_TKE_effic) * 0.5 * & (h(k) / ((htot + h(k))*htot)) * & - ((uhtot-u(k)*htot)**2 + (vhtot-v(k)*htot)**2) + (((uhtot-u(k)*htot)**2) + ((vhtot-v(k)*htot)**2)) ! A fraction (1-exp(Kddt_h*MKE2_Hharm)) of this energy would be ! extracted by mixing with a finite viscosity. MKE2_Hharm = (htot + h(k) + 2.0*h_neglect) / & diff --git a/src/parameterizations/vertical/MOM_kappa_shear.F90 b/src/parameterizations/vertical/MOM_kappa_shear.F90 index 8a1974d8ea..536d25e595 100644 --- a/src/parameterizations/vertical/MOM_kappa_shear.F90 +++ b/src/parameterizations/vertical/MOM_kappa_shear.F90 @@ -279,8 +279,8 @@ subroutine Calculate_kappa_shear(u_in, v_in, h, tv, p_surf, kappa_io, tke_io, & do k=1,nzc+1 ; kc(k) = k ; kf(k) = 0.0 ; enddo endif - f2 = 0.25 * ((G%CoriolisBu(I,j)**2 + G%CoriolisBu(I-1,J-1)**2) + & - (G%CoriolisBu(I,J-1)**2 + G%CoriolisBu(I-1,J)**2)) + f2 = 0.25 * ((G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I-1,J-1)) + & + (G%Coriolis2Bu(I,J-1) + G%Coriolis2Bu(I-1,J))) surface_pres = 0.0 ; if (associated(p_surf)) surface_pres = p_surf(i,j) ! ---------------------------------------------------- I_Ld2_1d, dz_Int_1d @@ -442,26 +442,26 @@ subroutine Calc_kappa_shear_vertex(u_in, v_in, h, T_in, S_in, tv, p_surf, kappa_ ! Interpolate the various quantities to the corners, using masks. do k=1,nz ; do I=IsB,IeB - u_2d(I,k) = (u_in(I,j,k) * (G%mask2dCu(I,j) * (h(i,j,k) + h(i+1,j,k))) + & - u_in(I,j+1,k) * (G%mask2dCu(I,j+1) * (h(i,j+1,k) + h(i+1,j+1,k))) ) / & + u_2d(I,k) = (G%mask2dCu(I,j) * (u_in(I,j,k) * (h(i,j,k) + h(i+1,j,k))) + & + G%mask2dCu(I,j+1) * (u_in(I,j+1,k) * (h(i,j+1,k) + h(i+1,j+1,k))) ) / & ((G%mask2dCu(I,j) * (h(i,j,k) + h(i+1,j,k)) + & G%mask2dCu(I,j+1) * (h(i,j+1,k) + h(i+1,j+1,k))) + GV%H_subroundoff) - v_2d(I,k) = (v_in(i,J,k) * (G%mask2dCv(i,J) * (h(i,j,k) + h(i,j+1,k))) + & - v_in(i+1,J,k) * (G%mask2dCv(i+1,J) * (h(i+1,j,k) + h(i+1,j+1,k))) ) / & + v_2d(I,k) = (G%mask2dCv(i,J) * (v_in(i,J,k) * (h(i,j,k) + h(i,j+1,k))) + & + G%mask2dCv(i+1,J) * (v_in(i+1,J,k) * (h(i+1,j,k) + h(i+1,j+1,k))) ) / & ((G%mask2dCv(i,J) * (h(i,j,k) + h(i,j+1,k)) + & G%mask2dCv(i+1,J) * (h(i+1,j,k) + h(i+1,j+1,k))) + GV%H_subroundoff) I_hwt = 1.0 / (((G%mask2dT(i,j) * h(i,j,k) + G%mask2dT(i+1,j+1) * h(i+1,j+1,k)) + & (G%mask2dT(i+1,j) * h(i+1,j,k) + G%mask2dT(i,j+1) * h(i,j+1,k))) + & GV%H_subroundoff) if (use_temperature) then - T_2d(I,k) = ( ((G%mask2dT(i,j) * h(i,j,k)) * T_in(i,j,k) + & - (G%mask2dT(i+1,j+1) * h(i+1,j+1,k)) * T_in(i+1,j+1,k)) + & - ((G%mask2dT(i+1,j) * h(i+1,j,k)) * T_in(i+1,j,k) + & - (G%mask2dT(i,j+1) * h(i,j+1,k)) * T_in(i,j+1,k)) ) * I_hwt - S_2d(I,k) = ( ((G%mask2dT(i,j) * h(i,j,k)) * S_in(i,j,k) + & - (G%mask2dT(i+1,j+1) * h(i+1,j+1,k)) * S_in(i+1,j+1,k)) + & - ((G%mask2dT(i+1,j) * h(i+1,j,k)) * S_in(i+1,j,k) + & - (G%mask2dT(i,j+1) * h(i,j+1,k)) * S_in(i,j+1,k)) ) * I_hwt + T_2d(I,k) = ( (G%mask2dT(i,j) * (h(i,j,k) * T_in(i,j,k)) + & + G%mask2dT(i+1,j+1) * (h(i+1,j+1,k) * T_in(i+1,j+1,k))) + & + (G%mask2dT(i+1,j) * (h(i+1,j,k) * T_in(i+1,j,k)) + & + G%mask2dT(i,j+1) * (h(i,j+1,k) * T_in(i,j+1,k))) ) * I_hwt + S_2d(I,k) = ( (G%mask2dT(i,j) * (h(i,j,k) * S_in(i,j,k)) + & + G%mask2dT(i+1,j+1) * (h(i+1,j+1,k) * S_in(i+1,j+1,k))) + & + (G%mask2dT(i+1,j) * (h(i+1,j,k) * S_in(i+1,j,k)) + & + G%mask2dT(i,j+1) * (h(i,j+1,k) * S_in(i,j+1,k))) ) * I_hwt endif h_2d(I,k) = ((G%mask2dT(i,j) * h(i,j,k) + G%mask2dT(i+1,j+1) * h(i+1,j+1,k)) + & (G%mask2dT(i+1,j) * h(i+1,j,k) + G%mask2dT(i,j+1) * h(i,j+1,k)) ) / & @@ -472,8 +472,8 @@ subroutine Calc_kappa_shear_vertex(u_in, v_in, h, T_in, S_in, tv, p_surf, kappa_ ((G%mask2dT(i,j) + G%mask2dT(i+1,j+1)) + & (G%mask2dT(i+1,j) + G%mask2dT(i,j+1)) + 1.0e-36 ) ! h_2d(I,k) = 0.25*((h(i,j,k) + h(i+1,j+1,k)) + (h(i+1,j,k) + h(i,j+1,k))) -! h_2d(I,k) = ((h(i,j,k)**2 + h(i+1,j+1,k)**2) + & -! (h(i+1,j,k)**2 + h(i,j+1,k)**2)) * I_hwt +! h_2d(I,k) = (((h(i,j,k)**2) + (h(i+1,j+1,k)**2)) + & +! ((h(i+1,j,k)**2) + (h(i,j+1,k)**2))) * I_hwt enddo ; enddo if (.not.use_temperature) then ; do k=1,nz ; do I=IsB,IeB rho_2d(I,k) = GV%Rlay(k) @@ -551,7 +551,7 @@ subroutine Calc_kappa_shear_vertex(u_in, v_in, h, T_in, S_in, tv, p_surf, kappa_ do k=1,nzc+1 ; kc(k) = k ; kf(k) = 0.0 ; enddo endif - f2 = G%CoriolisBu(I,J)**2 + f2 = G%Coriolis2Bu(I,J) surface_pres = 0.0 if (associated(p_surf)) then if (CS%psurf_bug) then @@ -1224,12 +1224,12 @@ subroutine calculate_projected_state(kappa, u0, v0, T0, S0, dt, nz, dz, I_dz_int ! Store the squared shear at interfaces S2(1) = 0.0 ; S2(nz+1) = 0.0 if (ks > 1) & - S2(ks) = ((u(ks)-u0(ks-1))**2 + (v(ks)-v0(ks-1))**2) * (US%L_to_Z*I_dz_int(ks))**2 + S2(ks) = (((u(ks)-u0(ks-1))**2) + ((v(ks)-v0(ks-1))**2)) * (US%L_to_Z*I_dz_int(ks))**2 do K=ks+1,ke - S2(K) = ((u(k)-u(k-1))**2 + (v(k)-v(k-1))**2) * (US%L_to_Z*I_dz_int(K))**2 + S2(K) = (((u(k)-u(k-1))**2) + ((v(k)-v(k-1))**2)) * (US%L_to_Z*I_dz_int(K))**2 enddo if (ke 0.0) then if (CS%BBL_mixing_as_max) then @@ -1514,10 +1514,10 @@ subroutine add_LOTW_BBL_diffusivity(h, u, v, tv, fluxes, visc, j, N2_int, Rho_bo ! Add in additional energy input from bottom-drag against slopes (sides) if (Rayleigh_drag) TKE_remaining = TKE_remaining + & 0.5*CS%BBL_effic * US%L_to_Z**2 * G%IareaT(i,j) * & - ((G%areaCu(I-1,j) * visc%Ray_u(I-1,j,k) * u(I-1,j,k)**2 + & - G%areaCu(I,j) * visc%Ray_u(I,j,k) * u(I,j,k)**2) + & - (G%areaCv(i,J-1) * visc%Ray_v(i,J-1,k) * v(i,J-1,k)**2 + & - G%areaCv(i,J) * visc%Ray_v(i,J,k) * v(i,J,k)**2)) + (((G%areaCu(I-1,j) * visc%Ray_u(I-1,j,k) * u(I-1,j,k)**2) + & + (G%areaCu(I,j) * visc%Ray_u(I,j,k) * u(I,j,k)**2)) + & + ((G%areaCv(i,J-1) * visc%Ray_v(i,J-1,k) * v(i,J-1,k)**2) + & + (G%areaCv(i,J) * visc%Ray_v(i,J,k) * v(i,J,k)**2))) ! Exponentially decay TKE across the thickness of the layer. ! This is energy loss in addition to work done as mixing, apparently to Joule heating. @@ -1631,8 +1631,8 @@ subroutine add_MLrad_diffusivity(dz, fluxes, tv, j, Kd_int, G, GV, US, CS, TKE_t if (CS%ML_omega_frac >= 1.0) then f_sq = 4.0 * Omega2 else - f_sq = 0.25 * ((G%CoriolisBu(I,J)**2 + G%CoriolisBu(I-1,J-1)**2) + & - (G%CoriolisBu(I,J-1)**2 + G%CoriolisBu(I-1,J)**2)) + f_sq = 0.25 * ((G%Coriolis2Bu(I,J) + G%Coriolis2Bu(I-1,J-1)) + & + (G%Coriolis2Bu(I,J-1) + G%Coriolis2Bu(I-1,J))) if (CS%ML_omega_frac > 0.0) & f_sq = CS%ML_omega_frac * 4.0 * Omega2 + (1.0 - CS%ML_omega_frac) * f_sq endif @@ -1910,15 +1910,15 @@ subroutine set_BBL_TKE(u, v, h, tv, fluxes, visc, G, GV, US, CS, OBC) do i=is,ie visc%ustar_BBL(i,j) = sqrt(0.5*G%IareaT(i,j) * & - ((G%areaCu(I-1,j)*(ustar(I-1)*ustar(I-1)) + & - G%areaCu(I,j)*(ustar(I)*ustar(I))) + & - (G%areaCv(i,J-1)*(vstar(i,J-1)*vstar(i,J-1)) + & - G%areaCv(i,J)*(vstar(i,J)*vstar(i,J))) ) ) + (((G%areaCu(I-1,j)*(ustar(I-1)*ustar(I-1))) + & + (G%areaCu(I,j)*(ustar(I)*ustar(I)))) + & + ((G%areaCv(i,J-1)*(vstar(i,J-1)*vstar(i,J-1))) + & + (G%areaCv(i,J)*(vstar(i,J)*vstar(i,J)))) ) ) visc%TKE_BBL(i,j) = US%L_to_Z**2 * & - (((G%areaCu(I-1,j)*(ustar(I-1)*u2_bbl(I-1)) + & - G%areaCu(I,j) * (ustar(I)*u2_bbl(I))) + & - (G%areaCv(i,J-1)*(vstar(i,J-1)*v2_bbl(i,J-1)) + & - G%areaCv(i,J) * (vstar(i,J)*v2_bbl(i,J))) )*G%IareaT(i,j)) + ((((G%areaCu(I-1,j)*(ustar(I-1)*u2_bbl(I-1))) + & + (G%areaCu(I,j) * (ustar(I)*u2_bbl(I)))) + & + ((G%areaCv(i,J-1)*(vstar(i,J-1)*v2_bbl(i,J-1))) + & + (G%areaCv(i,J) * (vstar(i,J)*v2_bbl(i,J)))) )*G%IareaT(i,j)) enddo enddo !$OMP end parallel diff --git a/src/parameterizations/vertical/MOM_set_viscosity.F90 b/src/parameterizations/vertical/MOM_set_viscosity.F90 index d1d333b5ce..7687d91e17 100644 --- a/src/parameterizations/vertical/MOM_set_viscosity.F90 +++ b/src/parameterizations/vertical/MOM_set_viscosity.F90 @@ -1840,8 +1840,8 @@ function set_v_at_u(v, h, G, GV, i, j, k, mask2dCv, OBC) hwt_tot = (hwt(0,-1) + hwt(1,0)) + (hwt(1,-1) + hwt(0,0)) set_v_at_u = 0.0 if (hwt_tot > 0.0) set_v_at_u = & - ((hwt(0,0) * v(i,J,k) + hwt(1,-1) * v(i+1,J-1,k)) + & - (hwt(1,0) * v(i+1,J,k) + hwt(0,-1) * v(i,J-1,k))) / hwt_tot + (((hwt(0,0) * v(i,J,k)) + (hwt(1,-1) * v(i+1,J-1,k))) + & + ((hwt(1,0) * v(i+1,J,k)) + (hwt(0,-1) * v(i,J-1,k)))) / hwt_tot end function set_v_at_u @@ -1885,8 +1885,8 @@ function set_u_at_v(u, h, G, GV, i, j, k, mask2dCu, OBC) hwt_tot = (hwt(-1,0) + hwt(0,1)) + (hwt(0,0) + hwt(-1,1)) set_u_at_v = 0.0 if (hwt_tot > 0.0) set_u_at_v = & - ((hwt(0,0) * u(I,j,k) + hwt(-1,1) * u(I-1,j+1,k)) + & - (hwt(-1,0) * u(I-1,j,k) + hwt(0,1) * u(I,j+1,k))) / hwt_tot + (((hwt(0,0) * u(I,j,k)) + (hwt(-1,1) * u(I-1,j+1,k))) + & + ((hwt(-1,0) * u(I-1,j,k)) + (hwt(0,1) * u(I,j+1,k)))) / hwt_tot end function set_u_at_v @@ -2154,8 +2154,8 @@ subroutine set_viscous_ML(u, v, h, tv, forces, visc, dt, G, GV, US, CS) if (associated(tv%p_surf)) press(I) = press(I) + 0.5*(tv%p_surf(i,j)+tv%p_surf(i+1,j)) k2 = max(1,nkml) I_2hlay = 1.0 / (h(i,j,k2) + h(i+1,j,k2) + h_neglect) - T_EOS(I) = (h(i,j,k2)*tv%T(i,j,k2) + h(i+1,j,k2)*tv%T(i+1,j,k2)) * I_2hlay - S_EOS(I) = (h(i,j,k2)*tv%S(i,j,k2) + h(i+1,j,k2)*tv%S(i+1,j,k2)) * I_2hlay + T_EOS(I) = ((h(i,j,k2)*tv%T(i,j,k2)) + (h(i+1,j,k2)*tv%T(i+1,j,k2))) * I_2hlay + S_EOS(I) = ((h(i,j,k2)*tv%S(i,j,k2)) + (h(i+1,j,k2)*tv%S(i+1,j,k2))) * I_2hlay enddo call calculate_density_derivs(T_EOS, S_EOS, press, dR_dT, dR_dS, tv%eqn_of_state, & (/Isq-G%IsdB+1,Ieq-G%IsdB+1/) ) @@ -2170,13 +2170,13 @@ subroutine set_viscous_ML(u, v, h, tv, forces, visc, dt, G, GV, US, CS) hlay = 0.5*(h(i,j,k) + h(i+1,j,k)) if (hlay > h_tiny) then ! Only consider non-vanished layers. I_2hlay = 1.0 / (h(i,j,k) + h(i+1,j,k)) - v_at_u = 0.5 * (h(i,j,k) * (v(i,J,k) + v(i,J-1,k)) + & - h(i+1,j,k) * (v(i+1,J,k) + v(i+1,J-1,k))) * I_2hlay - Uh2 = ((uhtot(I) - htot(I)*u(I,j,k))**2 + (vhtot(I) - htot(I)*v_at_u)**2) + v_at_u = 0.5 * ((h(i,j,k) * (v(i,J,k) + v(i,J-1,k))) + & + (h(i+1,j,k) * (v(i+1,J,k) + v(i+1,J-1,k)))) * I_2hlay + Uh2 = (uhtot(I) - htot(I)*u(I,j,k))**2 + (vhtot(I) - htot(I)*v_at_u)**2 if (use_EOS) then - T_lay = (h(i,j,k)*tv%T(i,j,k) + h(i+1,j,k)*tv%T(i+1,j,k)) * I_2hlay - S_lay = (h(i,j,k)*tv%S(i,j,k) + h(i+1,j,k)*tv%S(i+1,j,k)) * I_2hlay + T_lay = ((h(i,j,k)*tv%T(i,j,k)) + (h(i+1,j,k)*tv%T(i+1,j,k))) * I_2hlay + S_lay = ((h(i,j,k)*tv%S(i,j,k)) + (h(i+1,j,k)*tv%S(i+1,j,k))) * I_2hlay if (nonBous_ML) then gHprime = (GV%g_Earth * GV%H_to_RZ) * (dSpV_dT(I) * (Thtot(I) - T_lay*htot(I)) + & dSpV_dS(I) * (Shtot(I) - S_lay*htot(I))) @@ -2211,11 +2211,11 @@ subroutine set_viscous_ML(u, v, h, tv, forces, visc, dt, G, GV, US, CS) do I=Isq,Ieq ; if (do_i(I)) then htot(I) = htot(I) + 0.5 * (h(i,j,k) + h(i+1,j,k)) uhtot(I) = uhtot(I) + 0.5 * (h(i,j,k) + h(i+1,j,k)) * u(I,j,k) - vhtot(I) = vhtot(I) + 0.25 * (h(i,j,k) * (v(i,J,k) + v(i,J-1,k)) + & - h(i+1,j,k) * (v(i+1,J,k) + v(i+1,J-1,k))) + vhtot(I) = vhtot(I) + 0.25 * ((h(i,j,k) * (v(i,J,k) + v(i,J-1,k))) + & + (h(i+1,j,k) * (v(i+1,J,k) + v(i+1,J-1,k)))) if (use_EOS) then - Thtot(I) = Thtot(I) + 0.5 * (h(i,j,k)*tv%T(i,j,k) + h(i+1,j,k)*tv%T(i+1,j,k)) - Shtot(I) = Shtot(I) + 0.5 * (h(i,j,k)*tv%S(i,j,k) + h(i+1,j,k)*tv%S(i+1,j,k)) + Thtot(I) = Thtot(I) + 0.5 * ((h(i,j,k)*tv%T(i,j,k)) + (h(i+1,j,k)*tv%T(i+1,j,k))) + Shtot(I) = Shtot(I) + 0.5 * ((h(i,j,k)*tv%S(i,j,k)) + (h(i+1,j,k)*tv%S(i+1,j,k))) else Rhtot(i) = Rhtot(i) + 0.5 * (h(i,j,k) + h(i+1,j,k)) * GV%Rlay(k) endif @@ -2379,8 +2379,8 @@ subroutine set_viscous_ML(u, v, h, tv, forces, visc, dt, G, GV, US, CS) ! visc%tbl_thick_shelf_u(I,j) = max(CS%Htbl_shelf_min, & ! dztot(I) / (0.5 + sqrt(0.25 + & - ! (htot(i)*(G%CoriolisBu(I,J-1)+G%CoriolisBu(I,J)))**2 / & - ! (ustar(i))**2 )) ) + ! ((htot(i)*(G%CoriolisBu(I,J-1)+G%CoriolisBu(I,J)))**2) / & + ! (ustar(i)**2) )) ) ustar1 = ustar(i) h2f2 = (htot(i)*(G%CoriolisBu(I,J-1)+G%CoriolisBu(I,J)) + h_neglect*CS%omega)**2 tbl_thick = max(CS%Htbl_shelf_min, & @@ -2433,8 +2433,8 @@ subroutine set_viscous_ML(u, v, h, tv, forces, visc, dt, G, GV, US, CS) if (associated(tv%p_surf)) press(i) = press(i) + 0.5*(tv%p_surf(i,j)+tv%p_surf(i,j+1)) k2 = max(1,nkml) I_2hlay = 1.0 / (h(i,j,k2) + h(i,j+1,k2) + h_neglect) - T_EOS(i) = (h(i,j,k2)*tv%T(i,j,k2) + h(i,j+1,k2)*tv%T(i,j+1,k2)) * I_2hlay - S_EOS(i) = (h(i,j,k2)*tv%S(i,j,k2) + h(i,j+1,k2)*tv%S(i,j+1,k2)) * I_2hlay + T_EOS(i) = ((h(i,j,k2)*tv%T(i,j,k2)) + (h(i,j+1,k2)*tv%T(i,j+1,k2))) * I_2hlay + S_EOS(i) = ((h(i,j,k2)*tv%S(i,j,k2)) + (h(i,j+1,k2)*tv%S(i,j+1,k2))) * I_2hlay enddo call calculate_density_derivs(T_EOS, S_EOS, press, dR_dT, dR_dS, & tv%eqn_of_state, (/is-G%IsdB+1,ie-G%IsdB+1/) ) @@ -2449,13 +2449,13 @@ subroutine set_viscous_ML(u, v, h, tv, forces, visc, dt, G, GV, US, CS) hlay = 0.5*(h(i,j,k) + h(i,j+1,k)) if (hlay > h_tiny) then ! Only consider non-vanished layers. I_2hlay = 1.0 / (h(i,j,k) + h(i,j+1,k)) - u_at_v = 0.5 * (h(i,j,k) * (u(I-1,j,k) + u(I,j,k)) + & - h(i,j+1,k) * (u(I-1,j+1,k) + u(I,j+1,k))) * I_2hlay - Uh2 = ((uhtot(I) - htot(I)*u_at_v)**2 + (vhtot(I) - htot(I)*v(i,J,k))**2) + u_at_v = 0.5 * ((h(i,j,k) * (u(I-1,j,k) + u(I,j,k))) + & + (h(i,j+1,k) * (u(I-1,j+1,k) + u(I,j+1,k)))) * I_2hlay + Uh2 = (vhtot(i) - htot(i)*v(i,J,k))**2 + (uhtot(i) - htot(i)*u_at_v)**2 if (use_EOS) then - T_lay = (h(i,j,k)*tv%T(i,j,k) + h(i,j+1,k)*tv%T(i,j+1,k)) * I_2hlay - S_lay = (h(i,j,k)*tv%S(i,j,k) + h(i,j+1,k)*tv%S(i,j+1,k)) * I_2hlay + T_lay = ((h(i,j,k)*tv%T(i,j,k)) + (h(i,j+1,k)*tv%T(i,j+1,k))) * I_2hlay + S_lay = ((h(i,j,k)*tv%S(i,j,k)) + (h(i,j+1,k)*tv%S(i,j+1,k))) * I_2hlay if (nonBous_ML) then gHprime = (GV%g_Earth * GV%H_to_RZ) * (dSpV_dT(i) * (Thtot(i) - T_lay*htot(i)) + & dSpV_dS(i) * (Shtot(i) - S_lay*htot(i))) @@ -2490,11 +2490,11 @@ subroutine set_viscous_ML(u, v, h, tv, forces, visc, dt, G, GV, US, CS) do i=is,ie ; if (do_i(i)) then htot(i) = htot(i) + 0.5 * (h(i,J,k) + h(i,j+1,k)) vhtot(i) = vhtot(i) + 0.5 * (h(i,j,k) + h(i,j+1,k)) * v(i,J,k) - uhtot(i) = uhtot(i) + 0.25 * (h(i,j,k) * (u(I-1,j,k) + u(I,j,k)) + & - h(i,j+1,k) * (u(I-1,j+1,k) + u(I,j+1,k))) + uhtot(i) = uhtot(i) + 0.25 * ((h(i,j,k) * (u(I-1,j,k) + u(I,j,k))) + & + (h(i,j+1,k) * (u(I-1,j+1,k) + u(I,j+1,k)))) if (use_EOS) then - Thtot(i) = Thtot(i) + 0.5 * (h(i,j,k)*tv%T(i,j,k) + h(i,j+1,k)*tv%T(i,j+1,k)) - Shtot(i) = Shtot(i) + 0.5 * (h(i,j,k)*tv%S(i,j,k) + h(i,j+1,k)*tv%S(i,j+1,k)) + Thtot(i) = Thtot(i) + 0.5 * ((h(i,j,k)*tv%T(i,j,k)) + (h(i,j+1,k)*tv%T(i,j+1,k))) + Shtot(i) = Shtot(i) + 0.5 * ((h(i,j,k)*tv%S(i,j,k)) + (h(i,j+1,k)*tv%S(i,j+1,k))) else Rhtot(i) = Rhtot(i) + 0.5 * (h(i,j,k) + h(i,j+1,k)) * GV%Rlay(k) endif diff --git a/src/parameterizations/vertical/MOM_vert_friction.F90 b/src/parameterizations/vertical/MOM_vert_friction.F90 index c26ee4ac75..b1556aa42d 100644 --- a/src/parameterizations/vertical/MOM_vert_friction.F90 +++ b/src/parameterizations/vertical/MOM_vert_friction.F90 @@ -390,7 +390,7 @@ subroutine vertFPmix(ui, vi, uold, vold, hbl_h, h, forces, dt, G, GV, US, CS, OB do k=1,nz kp1 = MIN(k+1 , nz) - tau_u(I,j,k+1) = sqrt( tauxDG_u(I,j,k+1)*tauxDG_u(I,j,k+1) + tauyDG_u(I,j,k+1)*tauyDG_u(I,j,k+1)) + tau_u(I,j,k+1) = sqrt( (tauxDG_u(I,j,k+1)*tauxDG_u(I,j,k+1)) + (tauyDG_u(I,j,k+1)*tauyDG_u(I,j,k+1)) ) Omega_tau2x = atan2( tauyDG_u(I,j,k+1) , tauxDG_u(I,j,k+1) ) omega_tmp = Omega_tau2x !- omega_w2x_u(I,j) if ( (omega_tmp > pi ) ) omega_tmp = omega_tmp - 2.*pi @@ -412,7 +412,7 @@ subroutine vertFPmix(ui, vi, uold, vold, hbl_h, h, forces, dt, G, GV, US, CS, OB do k=1,nz-1 kp1 = MIN(k+1 , nz) - tau_v(i,J,k+1) = sqrt ( tauxDG_v(i,J,k+1)*tauxDG_v(i,J,k+1) + tauyDG_v(i,J,k+1)*tauyDG_v(i,J,k+1) ) + tau_v(i,J,k+1) = sqrt ( (tauxDG_v(i,J,k+1)*tauxDG_v(i,J,k+1)) + (tauyDG_v(i,J,k+1)*tauyDG_v(i,J,k+1)) ) omega_tau2x = atan2( tauyDG_v(i,J,k+1) , tauxDG_v(i,J,k+1) ) omega_tmp = omega_tau2x !- omega_w2x_v(i,J) if ( (omega_tmp > pi ) ) omega_tmp = omega_tmp - 2.*pi @@ -472,7 +472,7 @@ subroutine vertFPmix(ui, vi, uold, vold, hbl_h, h, forces, dt, G, GV, US, CS, OB ! diagnostics Omega_tau2s_u(I,j,k+1) = atan2(tauNL_CG , (tau_u(I,j,k+1)+tauNL_DG)) - tau_u(I,j,k+1) = sqrt((tauxDG_u(I,j,k+1) + tauNL_X)**2 + (tauyDG_u(I,j,k+1) + tauNL_Y)**2) + tau_u(I,j,k+1) = sqrt(((tauxDG_u(I,j,k+1) + tauNL_X)**2) + ((tauyDG_u(I,j,k+1) + tauNL_Y)**2)) omega_tau2x = atan2((tauyDG_u(I,j,k+1) + tauNL_Y), (tauxDG_u(I,j,k+1) + tauNL_X)) omega_tau2w = omega_tau2x !- omega_w2x_u(I,j) if (omega_tau2w >= pi ) omega_tau2w = omega_tau2w - 2.*pi @@ -532,7 +532,7 @@ subroutine vertFPmix(ui, vi, uold, vold, hbl_h, h, forces, dt, G, GV, US, CS, OB ! diagnostics Omega_tau2s_v(i,J,k+1) = atan2(tauNL_CG, tau_v(i,J,k+1) + tauNL_DG) - tau_v(i,J,k+1) = sqrt((tauxDG_v(i,J,k+1) + tauNL_X)**2 + (tauyDG_v(i,J,k+1) + tauNL_Y)**2) + tau_v(i,J,k+1) = sqrt(((tauxDG_v(i,J,k+1) + tauNL_X)**2) + ((tauyDG_v(i,J,k+1) + tauNL_Y)**2)) !omega_tau2x = atan2((tauyDG_v(i,J,k+1) + tauNL_Y) , (tauxDG_v(i,J,k+1) + tauNL_X)) !omega_tau2w = omega_tau2x - omega_w2x_v(i,J) if (omega_tau2w > pi) omega_tau2w = omega_tau2w - 2.*pi diff --git a/src/tracer/MOM_tracer_advect.F90 b/src/tracer/MOM_tracer_advect.F90 index e927f2f89d..7118fdd401 100644 --- a/src/tracer/MOM_tracer_advect.F90 +++ b/src/tracer/MOM_tracer_advect.F90 @@ -540,9 +540,9 @@ subroutine advect_x(Tr, hprev, uhr, uh_neglect, OBC, domore_u, ntr, Idt, & if (G%mask2dCu(I_up,j)*G%mask2dCu(I_up-1,j)*(Tp-Tc)*(Tc-Tm) <= 0.) then aL = Tc ; aR = Tc ! PCM for local extrema and boundary cells elseif ( dA*(Tc-mA) > (dA*dA)/6. ) then - aL = 3.*Tc - 2.*aR + aL = (3.*Tc) - 2.*aR elseif ( dA*(Tc-mA) < - (dA*dA)/6. ) then - aR = 3.*Tc - 2.*aL + aR = (3.*Tc) - 2.*aL endif a6 = 6.*Tc - 3. * (aR + aL) ! Curvature @@ -925,9 +925,9 @@ subroutine advect_y(Tr, hprev, vhr, vh_neglect, OBC, domore_v, ntr, Idt, & if (G%mask2dCv(i,J_up)*G%mask2dCv(i,J_up-1)*(Tp-Tc)*(Tc-Tm) <= 0.) then aL = Tc ; aR = Tc ! PCM for local extrema and boundary cells elseif ( dA*(Tc-mA) > (dA*dA)/6. ) then - aL = 3.*Tc - 2.*aR + aL = (3.*Tc) - 2.*aR elseif ( dA*(Tc-mA) < - (dA*dA)/6. ) then - aR = 3.*Tc - 2.*aL + aR = (3.*Tc) - 2.*aL endif a6 = 6.*Tc - 3. * (aR + aL) ! Curvature diff --git a/src/tracer/MOM_tracer_hor_diff.F90 b/src/tracer/MOM_tracer_hor_diff.F90 index 2b1530e94d..8cab315db9 100644 --- a/src/tracer/MOM_tracer_hor_diff.F90 +++ b/src/tracer/MOM_tracer_hor_diff.F90 @@ -546,10 +546,10 @@ subroutine tracer_hordiff(h, dt, MEKE, VarMix, visc, G, GV, US, CS, Reg, tv, do_ do m=1,ntr do j=js,je ; do i=is,ie dTr(i,j) = Ihdxdy(i,j) * & - ((Coef_x(I-1,j,1) * (Reg%Tr(m)%t(i-1,j,k) - Reg%Tr(m)%t(i,j,k)) - & - Coef_x(I,j,1) * (Reg%Tr(m)%t(i,j,k) - Reg%Tr(m)%t(i+1,j,k))) + & - (Coef_y(i,J-1,1) * (Reg%Tr(m)%t(i,j-1,k) - Reg%Tr(m)%t(i,j,k)) - & - Coef_y(i,J,1) * (Reg%Tr(m)%t(i,j,k) - Reg%Tr(m)%t(i,j+1,k)))) + ( ((Coef_x(I-1,j,1) * (Reg%Tr(m)%t(i-1,j,k) - Reg%Tr(m)%t(i,j,k))) - & + (Coef_x(I,j,1) * (Reg%Tr(m)%t(i,j,k) - Reg%Tr(m)%t(i+1,j,k)))) + & + ((Coef_y(i,J-1,1) * (Reg%Tr(m)%t(i,j-1,k) - Reg%Tr(m)%t(i,j,k))) - & + (Coef_y(i,J,1) * (Reg%Tr(m)%t(i,j,k) - Reg%Tr(m)%t(i,j+1,k)))) ) enddo ; enddo if (associated(Reg%Tr(m)%df_x)) then ; do j=js,je ; do I=G%IscB,G%IecB Reg%Tr(m)%df_x(I,j,k) = Reg%Tr(m)%df_x(I,j,k) + Coef_x(I,j,1) & diff --git a/src/tracer/advection_test_tracer.F90 b/src/tracer/advection_test_tracer.F90 index d8eb4d57fb..2684901b37 100644 --- a/src/tracer/advection_test_tracer.F90 +++ b/src/tracer/advection_test_tracer.F90 @@ -226,13 +226,13 @@ subroutine initialize_advection_test_tracer(restart, day, G, GV, h,diag, OBC, CS do j=js,je ; do i=is,ie locx = abs(G%geoLonT(i,j)-CS%x_origin)/CS%x_width locy = abs(G%geoLatT(i,j)-CS%y_origin)/CS%y_width - if (locx**2+locy**2<=1.0) CS%tr(i,j,k,m) = 1.0 + if ((locx**2) + (locy**2) <= 1.0) CS%tr(i,j,k,m) = 1.0 enddo ; enddo k=5 ! Cut cylinder do j=js,je ; do i=is,ie locx = (G%geoLonT(i,j)-CS%x_origin)/CS%x_width locy = (G%geoLatT(i,j)-CS%y_origin)/CS%y_width - if (locx**2+locy**2<=1.0) CS%tr(i,j,k,m) = 1.0 + if ((locx**2) + (locy**2) <= 1.0) CS%tr(i,j,k,m) = 1.0 if (locx>0.0 .and. abs(locy)<0.2) CS%tr(i,j,k,m) = 0.0 enddo ; enddo diff --git a/src/user/Idealized_Hurricane.F90 b/src/user/Idealized_Hurricane.F90 index 0c9d5cd330..d37b1d70ae 100644 --- a/src/user/Idealized_Hurricane.F90 +++ b/src/user/Idealized_Hurricane.F90 @@ -312,15 +312,15 @@ subroutine idealized_hurricane_wind_forcing(sfc_state, forces, day, G, US, CS) if (associated(forces%ustar)) then ; do j=js,je ; do i=is,ie ! This expression can be changed if desired, but need not be. forces%ustar(i,j) = G%mask2dT(i,j) * sqrt(US%L_to_Z * (CS%gustiness/CS%Rho0 + & - sqrt(0.5*(forces%taux(I-1,j)**2 + forces%taux(I,j)**2) + & - 0.5*(forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2))/CS%Rho0)) + sqrt(0.5*((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)) + & + 0.5*((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)))/CS%Rho0)) enddo ; enddo ; endif !> Get tau_mag [R L Z T-2 ~> Pa] if (associated(forces%tau_mag)) then ; do j=js,je ; do i=is,ie forces%tau_mag(i,j) = G%mask2dT(i,j) * (CS%gustiness + & - sqrt(0.5*(forces%taux(I-1,j)**2 + forces%taux(I,j)**2) + & - 0.5*(forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2))) + sqrt(0.5*((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)) + & + 0.5*((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)))) enddo ; enddo ; endif end subroutine idealized_hurricane_wind_forcing @@ -368,7 +368,7 @@ subroutine idealized_hurricane_wind_profile(CS, US, absf, YY, XX, UOCN, VOCN, Tx ! Implementing Holland (1980) parameteric wind profile - radius = SQRT(XX**2 + YY**2) + radius = SQRT((XX**2) + (YY**2)) !/ BGR ! rkm - r converted to km for Holland prof. @@ -451,7 +451,7 @@ subroutine idealized_hurricane_wind_profile(CS, US, absf, YY, XX, UOCN, VOCN, Tx dV = U10*cos(Adir-Alph) - Vocn + V_TS ! Use a simple drag coefficient as a function of U10 (from Sullivan et al., 2010) - du10 = sqrt(du**2+dv**2) + du10 = sqrt((du**2) + (dv**2)) if (dU10 < 11.0*US%m_s_to_L_T) then Cd = 1.2e-3 elseif (dU10 < 20.0*US%m_s_to_L_T) then @@ -465,8 +465,8 @@ subroutine idealized_hurricane_wind_profile(CS, US, absf, YY, XX, UOCN, VOCN, Tx endif ! Compute stress vector - TX = US%L_to_Z * CS%rho_a * Cd * sqrt(dU**2 + dV**2) * dU - TY = US%L_to_Z * CS%rho_a * Cd * sqrt(dU**2 + dV**2) * dV + TX = US%L_to_Z * CS%rho_a * Cd * sqrt((dU**2) + (dV**2)) * dU + TY = US%L_to_Z * CS%rho_a * Cd * sqrt((dU**2) + (dV**2)) * dV end subroutine idealized_hurricane_wind_profile @@ -541,7 +541,7 @@ subroutine SCM_idealized_hurricane_wind_forcing(sfc_state, forces, day, G, US, C !/ BR ! Calculate x position as a function of time. xx = US%s_to_T*( t0 - time_type_to_real(day)) * CS%hurr_translation_spd * cos(transdir) - rad = sqrt(xx**2 + CS%dy_from_center**2) + rad = sqrt((xx**2) + (CS%dy_from_center**2)) !/ BR ! rkm - rad converted to km for Holland prof. ! used in km due to error, correct implementation should @@ -619,7 +619,7 @@ subroutine SCM_idealized_hurricane_wind_forcing(sfc_state, forces, day, G, US, C !BR ! Add a simple drag coefficient as a function of U10 | !/----------------------------------------------------| - du10 = sqrt(du**2+dv**2) + du10 = sqrt((du**2) + (dv**2)) if (dU10 < 11.0*US%m_s_to_L_T) then Cd = 1.2e-3 elseif (dU10 < 20.0*US%m_s_to_L_T) then @@ -641,7 +641,7 @@ subroutine SCM_idealized_hurricane_wind_forcing(sfc_state, forces, day, G, US, C Vocn = 0. ! sfc_state%v(i,J) dU = U10*sin(Adir-pie-Alph) - Uocn + U_TS dV = U10*cos(Adir-Alph) - Vocn + V_TS - du10=sqrt(du**2+dv**2) + du10 = sqrt((du**2) + (dv**2)) if (dU10 < 11.0*US%m_s_to_L_T) then Cd = 1.2e-3 elseif (dU10 < 20.0*US%m_s_to_L_T) then @@ -660,15 +660,15 @@ subroutine SCM_idealized_hurricane_wind_forcing(sfc_state, forces, day, G, US, C if (associated(forces%ustar)) then ; do j=js,je ; do i=is,ie ! This expression can be changed if desired, but need not be. forces%ustar(i,j) = G%mask2dT(i,j) * sqrt(US%L_to_Z * (CS%gustiness/CS%Rho0 + & - sqrt(0.5*(forces%taux(I-1,j)**2 + forces%taux(I,j)**2) + & - 0.5*(forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2))/CS%Rho0)) + sqrt(0.5*((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)) + & + 0.5*((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)))/CS%Rho0)) enddo ; enddo ; endif !> Set magnitude of the wind stress [R L Z T-2 ~> Pa] if (associated(forces%tau_mag)) then ; do j=js,je ; do i=is,ie forces%tau_mag(i,j) = G%mask2dT(i,j) * (CS%gustiness + & - sqrt(0.5*(forces%taux(I-1,j)**2 + forces%taux(I,j)**2) + & - 0.5*(forces%tauy(i,J-1)**2 + forces%tauy(i,J)**2))) + sqrt(0.5*((forces%taux(I-1,j)**2) + (forces%taux(I,j)**2)) + & + 0.5*((forces%tauy(i,J-1)**2) + (forces%tauy(i,J)**2)))) enddo ; enddo ; endif end subroutine SCM_idealized_hurricane_wind_forcing diff --git a/src/user/MOM_wave_interface.F90 b/src/user/MOM_wave_interface.F90 index 656ff5b569..08484da1f8 100644 --- a/src/user/MOM_wave_interface.F90 +++ b/src/user/MOM_wave_interface.F90 @@ -1216,7 +1216,7 @@ subroutine get_Langmuir_Number( LA, G, GV, US, HBL, ustar, i, j, dz, Waves, & enddo call Get_SL_Average_Prof( GV, Dpt_LASL, dz, US_H, LA_STKx) call Get_SL_Average_Prof( GV, Dpt_LASL, dz, VS_H, LA_STKy) - LA_STK = sqrt(LA_STKX*LA_STKX+LA_STKY*LA_STKY) + LA_STK = sqrt((LA_STKX*LA_STKX) + (LA_STKY*LA_STKY)) elseif (Waves%WaveMethod==SURFBANDS) then allocate(StkBand_X(Waves%NumBands), StkBand_Y(Waves%NumBands)) do bb = 1,Waves%NumBands @@ -1225,7 +1225,7 @@ subroutine get_Langmuir_Number( LA, G, GV, US, HBL, ustar, i, j, dz, Waves, & enddo call Get_SL_Average_Band(GV, Dpt_LASL, Waves%NumBands, Waves%WaveNum_Cen, StkBand_X, LA_STKx ) call Get_SL_Average_Band(GV, Dpt_LASL, Waves%NumBands, Waves%WaveNum_Cen, StkBand_Y, LA_STKy ) - LA_STK = sqrt(LA_STKX**2 + LA_STKY**2) + LA_STK = sqrt((LA_STKX**2) + (LA_STKY**2)) deallocate(StkBand_X, StkBand_Y) elseif (Waves%WaveMethod==DHH85) then ! Temporarily integrating profile rather than spectrum for simplicity @@ -1235,7 +1235,7 @@ subroutine get_Langmuir_Number( LA, G, GV, US, HBL, ustar, i, j, dz, Waves, & enddo call Get_SL_Average_Prof( GV, Dpt_LASL, dz, US_H, LA_STKx) call Get_SL_Average_Prof( GV, Dpt_LASL, dz, VS_H, LA_STKy) - LA_STK = sqrt(LA_STKX**2 + LA_STKY**2) + LA_STK = sqrt((LA_STKX**2) + (LA_STKY**2)) elseif (Waves%WaveMethod==LF17) then call get_StokesSL_LiFoxKemper(ustar, HBL*Waves%LA_FracHBL, GV, US, Waves, LA_STK, LA) elseif (Waves%WaveMethod==Null_WaveMethod) then @@ -1655,8 +1655,8 @@ subroutine CoriolisStokes(G, GV, dt, h, u, v, Waves) do k = 1, GV%ke do j = G%jsc, G%jec do I = G%iscB, G%iecB - DVel = 0.25*(Waves%us_y(i,j+1,k)+Waves%us_y(i-1,j+1,k))*G%CoriolisBu(i,j+1) + & - 0.25*(Waves%us_y(i,j,k)+Waves%us_y(i-1,j,k))*G%CoriolisBu(i,j) + DVel = 0.25*((Waves%us_y(i,J+1,k)+Waves%us_y(i-1,J+1,k)) * G%CoriolisBu(I,J+1)) + & + 0.25*((Waves%us_y(i,J,k)+Waves%us_y(i-1,J,k)) * G%CoriolisBu(I,J)) u(I,j,k) = u(I,j,k) + DVEL*dt enddo enddo @@ -1665,8 +1665,8 @@ subroutine CoriolisStokes(G, GV, dt, h, u, v, Waves) do k = 1, GV%ke do J = G%jscB, G%jecB do i = G%isc, G%iec - DVel = 0.25*(Waves%us_x(i+1,j,k)+Waves%us_x(i+1,j-1,k))*G%CoriolisBu(i+1,j) + & - 0.25*(Waves%us_x(i,j,k)+Waves%us_x(i,j-1,k))*G%CoriolisBu(i,j) + DVel = 0.25*((Waves%us_x(I+1,j,k)+Waves%us_x(I+1,j-1,k)) * G%CoriolisBu(I+1,J)) + & + 0.25*((Waves%us_x(I,j,k)+Waves%us_x(I,j-1,k)) * G%CoriolisBu(I,J)) v(i,J,k) = v(i,j,k) - DVEL*dt enddo enddo diff --git a/src/user/Neverworld_initialization.F90 b/src/user/Neverworld_initialization.F90 index 6885b6881a..98eca06d6b 100644 --- a/src/user/Neverworld_initialization.F90 +++ b/src/user/Neverworld_initialization.F90 @@ -157,7 +157,7 @@ real function dist_line_fixed_x(x, y, x0, y0, y1) dx = x - x0 yr = min( max(y0,y1), max( min(y0,y1), y ) ) ! bound y by y0,y1 dy = y - yr ! =0 within y0y1 - dist_line_fixed_x = sqrt( dx*dx + dy*dy ) + dist_line_fixed_x = sqrt( (dx*dx) + (dy*dy) ) end function dist_line_fixed_x !> Distance between points x,y and a line segment (x0,y0) and (x1,y0). @@ -229,7 +229,7 @@ real function circ_ridge(lon, lat, lon0, lat0, ring_radius, ring_thickness, ridg real :: r ! A relative position [degrees] real :: frac_ht ! The fractional height of the topography [nondim] - r = sqrt( (lon - lon0)**2 + (lat - lat0)**2 ) ! Pseudo-distance from a point + r = sqrt( ((lon - lon0)**2) + ((lat - lat0)**2) ) ! Pseudo-distance from a point r = abs( r - ring_radius) ! Pseudo-distance from a circle frac_ht = cone(r, 0., ring_thickness, ridge_height) ! 0 .. frac_ridge_height circ_ridge = 1. - frac_ht ! Fractional depths (1-frac_ridge_height) .. 1 @@ -292,8 +292,8 @@ subroutine Neverworld_initialize_thickness(h, depth_tot, G, GV, US, param_file, h(i,j,k) = e0(k) - e_interface ! Nominal thickness x = (G%geoLonT(i,j)-G%west_lon)/G%len_lon y = (G%geoLatT(i,j)-G%south_lat)/G%len_lat - r1 = sqrt((x-0.7)**2+(y-0.2)**2) - r2 = sqrt((x-0.3)**2+(y-0.25)**2) + r1 = sqrt(((x-0.7)**2) + ((y-0.2)**2)) + r2 = sqrt(((x-0.3)**2) + ((y-0.25)**2)) h(i,j,k) = h(i,j,k) + pert_amp * (e0(k) - e0(nz+1)) * & (spike(r1,0.15)-spike(r2,0.15)) ! Prescribed perturbation if (h_noise /= 0.) then diff --git a/src/user/SCM_CVMix_tests.F90 b/src/user/SCM_CVMix_tests.F90 index be515f22ca..46cf6423d4 100644 --- a/src/user/SCM_CVMix_tests.F90 +++ b/src/user/SCM_CVMix_tests.F90 @@ -217,7 +217,7 @@ subroutine SCM_CVMix_tests_wind_forcing(sfc_state, forces, day, G, US, CS) enddo ; enddo call pass_vector(forces%taux, forces%tauy, G%Domain, To_All) - mag_tau = sqrt(CS%tau_x*CS%tau_x + CS%tau_y*CS%tau_y) + mag_tau = sqrt((CS%tau_x*CS%tau_x) + (CS%tau_y*CS%tau_y)) if (associated(forces%ustar)) then ; do j=js,je ; do i=is,ie forces%ustar(i,j) = sqrt( US%L_to_Z * mag_tau / CS%Rho0 ) enddo ; enddo ; endif diff --git a/src/user/basin_builder.F90 b/src/user/basin_builder.F90 index 705925a97d..c9faa0739c 100644 --- a/src/user/basin_builder.F90 +++ b/src/user/basin_builder.F90 @@ -208,7 +208,7 @@ real function dist_line_fixed_x(x, y, x0, y0, y1) dx = x - x0 yr = min( max(y0,y1), max( min(y0,y1), y ) ) ! bound y by y0,y1 dy = y - yr ! =0 within y0y1 - dist_line_fixed_x = sqrt( dx*dx + dy*dy ) + dist_line_fixed_x = sqrt( (dx*dx) + (dy*dy) ) end function dist_line_fixed_x !> Distance between points x,y and a line segment (x0,y0) and (x1,y0). @@ -310,7 +310,7 @@ real function circ_conic_ridge(lon, lat, lon0, lat0, ring_radius, ring_thickness real :: r ! A relative position [degrees] real :: frac_ht ! The fractional height of the topography [nondim] - r = sqrt( (lon - lon0)**2 + (lat - lat0)**2 ) ! Pseudo-distance from a point + r = sqrt( ((lon - lon0)**2) + ((lat - lat0)**2) ) ! Pseudo-distance from a point r = abs( r - ring_radius) ! Pseudo-distance from a circle frac_ht = cone(r, 0., ring_thickness, ridge_height) ! 0 .. frac_ridge_height circ_conic_ridge = 1. - frac_ht ! nondim depths (1-frac_ridge_height) .. 1 @@ -329,7 +329,7 @@ real function circ_scurve_ridge(lon, lat, lon0, lat0, ring_radius, ring_thicknes real :: s ! A function of the normalized position [nondim] real :: frac_ht ! The fractional height of the topography [nondim] - r = sqrt( (lon - lon0)**2 + (lat - lat0)**2 ) ! Pseudo-distance from a point + r = sqrt( ((lon - lon0)**2) + ((lat - lat0)**2) ) ! Pseudo-distance from a point r = abs( r - ring_radius) ! Pseudo-distance from a circle s = 1. - scurve(r, 0., ring_thickness) ! 0 .. 1 frac_ht = s * ridge_height ! 0 .. frac_ridge_height diff --git a/src/user/circle_obcs_initialization.F90 b/src/user/circle_obcs_initialization.F90 index ab9ab385de..98b5bd4705 100644 --- a/src/user/circle_obcs_initialization.F90 +++ b/src/user/circle_obcs_initialization.F90 @@ -102,7 +102,7 @@ subroutine circle_obcs_initialize_thickness(h, depth_tot, G, GV, US, param_file, latC = G%south_lat + 0.5*G%len_lat lonC = G%west_lon + 0.5*G%len_lon + xOffset do j=js,je ; do i=is,ie - rad = sqrt((G%geoLonT(i,j)-lonC)**2+(G%geoLatT(i,j)-latC)**2)/(diskrad) + rad = sqrt(((G%geoLonT(i,j)-lonC)**2) + ((G%geoLatT(i,j)-latC)**2)) / diskrad ! if (rad <= 6.*diskrad) h(i,j,k) = h(i,j,k)+10.0*exp( -0.5*( rad**2 ) ) rad = min( rad, 1. ) ! Flatten outside radius of diskrad rad = rad*(2.*asin(1.)) ! Map 0-1 to 0-pi diff --git a/src/user/seamount_initialization.F90 b/src/user/seamount_initialization.F90 index 60aef08cb4..59709ecde7 100644 --- a/src/user/seamount_initialization.F90 +++ b/src/user/seamount_initialization.F90 @@ -72,7 +72,7 @@ subroutine seamount_initialize_topography( D, G, param_file, max_depth ) ! Compute normalized zonal coordinates (x,y=0 at center of domain) x = ( G%geoLonT(i,j) - G%west_lon ) / G%len_lon - 0.5 y = ( G%geoLatT(i,j) - G%south_lat ) / G%len_lat - 0.5 - D(i,j) = G%max_depth * ( 1.0 - delta * exp(-(rLx*x)**2 -(rLy*y)**2) ) + D(i,j) = G%max_depth * ( 1.0 - delta * exp(-((rLx*x)**2) - ((rLy*y)**2)) ) enddo ; enddo end subroutine seamount_initialize_topography