#include "cppdefs.h" MODULE ad_u3dbc_mod #if defined ADJOINT && defined SOLVE3D ! !svn $Id: ad_u3dbc_im.F 889 2018-02-10 03:32:52Z arango $ !================================================== Hernan G. Arango === ! Copyright (c) 2002-2019 The ROMS/TOMS Group Andrew M. Moore ! ! Licensed under a MIT/X style license ! ! See License_ROMS.txt ! !======================================================================= ! ! ! This subroutine sets adjoint lateral boundary conditions for total ! ! 3D U-velocity. It updates the specified "nout" time index. ! ! ! ! BASIC STATE variables needed: u ! ! ! !======================================================================= ! implicit none PRIVATE PUBLIC :: ad_u3dbc, ad_u3dbc_tile CONTAINS ! !*********************************************************************** SUBROUTINE ad_u3dbc (ng, tile, nout) !*********************************************************************** ! USE mod_param USE mod_ocean USE mod_stepping ! ! Imported variable declarations. ! integer, intent(in) :: ng, tile, nout ! ! Local variable declarations. ! # include "tile.h" ! CALL ad_u3dbc_tile (ng, tile, & & LBi, UBi, LBj, UBj, N(ng), & & IminS, ImaxS, JminS, JmaxS, & & nstp(ng), nout, & & OCEAN(ng) % ad_u) RETURN END SUBROUTINE ad_u3dbc ! !*********************************************************************** SUBROUTINE ad_u3dbc_tile (ng, tile, & & LBi, UBi, LBj, UBj, UBk, & & IminS, ImaxS, JminS, JmaxS, & & nstp, nout, & & ad_u) !*********************************************************************** ! USE mod_param USE mod_boundary USE mod_clima USE mod_grid USE mod_ncparam USE mod_scalars ! ! Imported variable declarations. ! integer, intent(in) :: ng, tile integer, intent(in) :: LBi, UBi, LBj, UBj, UBk integer, intent(in) :: IminS, ImaxS, JminS, JmaxS integer, intent(in) :: nstp, nout ! # ifdef ASSUMED_SHAPE real(r8), intent(inout) :: ad_u(LBi:,LBj:,:,:) # else real(r8), intent(inout) :: ad_u(LBi:UBi,LBj:UBj,UBk,2) # endif ! ! Local variable declarations. ! integer :: Imin, Imax integer :: i, j, k real(r8) :: Ce, Cx, cff real(r8) :: obc_in, obc_out, tau real(r8) :: adfac real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: ad_grad # include "set_bounds.h" ! !----------------------------------------------------------------------- ! Initialize adjoint private variables. !----------------------------------------------------------------------- ! ad_grad(LBi:UBi,LBj:UBj)=0.0_r8 ! !----------------------------------------------------------------------- ! Boundary corners. !----------------------------------------------------------------------- ! IF (.not.(EWperiodic(ng).or.NSperiodic(ng))) THEN IF (DOMAIN(ng)%NorthEast_Corner(tile)) THEN IF (LBC_apply(ng)%north(Iend+1).and. & & LBC_apply(ng)%east (Jend+1)) THEN DO k=1,N(ng) !> tl_u(Iend+1,Jend+1,k,nout)=0.5_r8* & !> & (tl_u(Iend+1,Jend ,k,nout)+ & !> & tl_u(Iend ,Jend+1,k,nout)) !> adfac=0.5_r8*ad_u(Iend+1,Jend+1,k,nout) ad_u(Iend+1,Jend ,k,nout)=ad_u(Iend+1,Jend ,k,nout)+ & & adfac ad_u(Iend ,Jend+1,k,nout)=ad_u(Iend ,Jend+1,k,nout)+ & & adfac ad_u(Iend+1,Jend+1,k,nout)=0.0_r8 END DO END IF END IF IF (DOMAIN(ng)%NorthWest_Corner(tile)) THEN IF (LBC_apply(ng)%north(Istr ).and. & & LBC_apply(ng)%west (Jend+1)) THEN DO k=1,N(ng) !> tl_u(Istr,Jend+1,k,nout)=0.5_r8* & !> & (tl_u(Istr ,Jend ,k,nout)+ & !> & tl_u(Istr+1,Jend+1,k,nout)) !> adfac=0.5_r8*ad_u(Istr,Jend+1,k,nout) ad_u(Istr ,Jend ,k,nout)=ad_u(Istr ,Jend ,k,nout)+ & & adfac ad_u(Istr+1,Jend+1,k,nout)=ad_u(Istr+1,Jend+1,k,nout)+ & & adfac ad_u(Istr ,Jend+1,k,nout)=0.0_r8 END DO END IF END IF IF (DOMAIN(ng)%SouthEast_Corner(tile)) THEN IF (LBC_apply(ng)%south(Iend+1).and. & & LBC_apply(ng)%east (Jstr-1)) THEN DO k=1,N(ng) !> tl_u(Iend+1,Jstr-1,k,nout)=0.5_r8* & !> & (tl_u(Iend ,Jstr-1,k,nout)+ & !> & tl_u(Iend+1,Jstr ,k,nout)) !> adfac=0.5_r8*ad_u(Iend+1,Jstr-1,k,nout) ad_u(Iend ,Jstr-1,k,nout)=ad_u(Iend ,Jstr-1,k,nout)+ & & adfac ad_u(Iend+1,Jstr ,k,nout)=ad_u(Iend+1,Jstr ,k,nout)+ & & adfac ad_u(Iend+1,Jstr-1,k,nout)=0.0_r8 END DO END IF END IF IF (DOMAIN(ng)%SouthWest_Corner(tile)) THEN IF (LBC_apply(ng)%south(Istr ).and. & & LBC_apply(ng)%west (Jstr-1)) THEN DO k=1,N(ng) !> tl_u(Istr,Jstr-1,k,nout)=0.5_r8* & !> & (tl_u(Istr+1,Jstr-1,k,nout)+ & !> & tl_u(Istr ,Jstr ,k,nout)) !> adfac=0.5_r8*ad_u(Istr,Jstr-1,k,nout) ad_u(Istr+1,Jstr-1,k,nout)=ad_u(Istr+1,Jstr-1,k,nout)+ & & adfac ad_u(Istr ,Jstr ,k,nout)=ad_u(Istr ,Jstr ,k,nout)+ & & adfac ad_u(Istr ,Jstr-1,k,nout)=0.0_r8 END DO END IF END IF END IF ! !----------------------------------------------------------------------- ! Lateral boundary conditions at the northern edge. !----------------------------------------------------------------------- ! IF (DOMAIN(ng)%Northern_Edge(tile)) THEN ! ! Northern edge, implicit upstream radiation condition. ! IF (ad_LBC(inorth,isUvel,ng)%radiation) THEN IF (iic(ng).ne.0) THEN DO k=1,N(ng) DO i=IstrU,Iend IF (LBC_apply(ng)%north(i)) THEN # if defined CELERITY_READ && defined FORWARD_READ IF (ad_LBC(inorth,isUvel,ng)%nudging) THEN IF (LnudgeM3CLM(ng)) THEN obc_out=0.5_r8* & & (CLIMA(ng)%M3nudgcof(i-1,Jend+1,k)+ & & CLIMA(ng)%M3nudgcof(i ,Jend+1,k)) obc_in =obcfac(ng)*obc_out ELSE obc_out=M3obc_out(ng,inorth) obc_in =M3obc_in (ng,inorth) END IF IF (BOUNDARY(ng)%u_north_Ce(i,k).lt.0.0_r8) THEN tau=obc_in ELSE tau=obc_out END IF tau=tau*dt(ng) END IF # ifdef RADIATION_2D Cx=BOUNDARY(ng)%u_north_Cx(i,k) # else Cx=0.0_r8 # endif Ce=BOUNDARY(ng)%u_north_Ce(i,k) cff=BOUNDARY(ng)%u_north_C2(i,k) # endif # ifdef MASKING !> tl_u(i,Jend+1,k,nout)=tl_u(i,Jend+1,k,nout)* & !> & GRID(ng)%umask(i,Jend+1) !> ad_u(i,Jend+1,k,nout)=ad_u(i,Jend+1,k,nout)* & & GRID(ng)%umask(i,Jend+1) # endif IF (ad_LBC(inorth,isUvel,ng)%nudging) THEN !> tl_u(i,Jend+1,k,nout)=tl_u(i,Jend+1,k,nout)- & !> & tau*tl_u(i,Jend+1,k,nstp) !> ad_u(i,Jend+1,k,nstp)=ad_u(i,Jend+1,k,nstp)- & & tau*ad_u(i,Jend+1,k,nout) END IF !> tl_u(i,Jend+1,k,nout)=(cff*tl_u(i,Jend+1,k,nstp)+ & !> & Ce *tl_u(i,Jend ,k,nout)- & !> & MAX(Cx,0.0_r8)* & !> & tl_grad(i-1,Jend+1)- & !> & MIN(Cx,0.0_r8)* & !> & tl_grad(i ,Jend+1))/ & !> & (cff+Ce) !> adfac=ad_u(i,Jend+1,k,nout)/(cff+Ce) ad_grad(i-1,Jend+1)=ad_grad(i-1,Jend+1)- & & MAX(Cx,0.0_r8)*adfac ad_grad(i ,Jend+1)=ad_grad(i ,Jend+1)- & & MIN(Cx,0.0_r8)*adfac ad_u(i,Jend ,k,nout)=ad_u(i,Jend ,k,nout)+Ce *adfac ad_u(i,Jend+1,k,nstp)=ad_u(i,Jend+1,k,nstp)+cff*adfac ad_u(i,Jend+1,k,nout)=0.0_r8 END IF END DO END DO END IF ! ! Northern edge, clamped boundary condition. ! ELSE IF (ad_LBC(inorth,isUvel,ng)%clamped) THEN DO k=1,N(ng) DO i=IstrU,Iend IF (LBC_apply(ng)%north(i)) THEN # ifdef MASKING !> tl_u(i,Jend+1,k,nout)=tl_u(i,Jend+1,k,nout)* & !> & GRID(ng)%umask(i,Jend+1) !> ad_u(i,Jend+1,k,nout)=ad_u(i,Jend+1,k,nout)* & & GRID(ng)%umask(i,Jend+1) # endif # ifdef ADJUST_BOUNDARY IF (Lobc(inorth,isUvel,ng)) THEN !> tl_u(i,Jend+1,k,nout)=BOUNDARY(ng)%tl_u_north(i,k) !> BOUNDARY(ng)%ad_u_north(i,k)=BOUNDARY(ng)% & & ad_u_north(i,k)+ & & ad_u(i,Jend+1,k,nout) ad_u(i,Jend+1,k,nout)=0.0_r8 ELSE !> tl_u(i,Jend+1,k,nout)=0.0_r8 !> ad_u(i,Jend+1,k,nout)=0.0_r8 END IF # else !> tl_u(i,Jend+1,k,nout)=0.0_r8 !> ad_u(i,Jend+1,k,nout)=0.0_r8 # endif END IF END DO END DO ! ! Northern edge, gradient boundary condition. ! ELSE IF (ad_LBC(inorth,isUvel,ng)%gradient) THEN DO k=1,N(ng) DO i=IstrU,Iend IF (LBC_apply(ng)%north(i)) THEN # ifdef MASKING !> tl_u(i,Jend+1,k,nout)=tl_u(i,Jend+1,k,nout)* & !> & GRID(ng)%umask(i,Jend+1) !> ad_u(i,Jend+1,k,nout)=ad_u(i,Jend+1,k,nout)* & & GRID(ng)%umask(i,Jend+1) # endif !> tl_u(i,Jend+1,k,nout)=tl_u(i,Jend,k,nout) !> ad_u(i,Jend ,k,nout)=ad_u(i,Jend ,k,nout)+ & & ad_u(i,Jend+1,k,nout) ad_u(i,Jend+1,k,nout) = 0.0_r8 END IF END DO END DO ! ! Northern edge, closed boundary condition: free slip (gamma2=1) or ! no slip (gamma2=-1). ! ELSE IF (ad_LBC(inorth,isUvel,ng)%closed) THEN IF (EWperiodic(ng)) THEN Imin=IstrU Imax=Iend ELSE Imin=Istr Imax=IendR END IF DO k=1,N(ng) DO i=Imin,Imax IF (LBC_apply(ng)%north(i)) THEN # ifdef MASKING !> tl_u(i,Jend+1,k,nout)=tl_u(i,Jend+1,k,nout)* & !> & GRID(ng)%umask(i,Jend+1) !> ad_u(i,Jend+1,k,nout)=ad_u(i,Jend+1,k,nout)* & & GRID(ng)%umask(i,Jend+1) # endif !> tl_u(i,Jend+1,k,nout)=gamma2(ng)*tl_u(i,Jend,k,nout) !> ad_u(i,Jend ,k,nout)=ad_u(i,Jend ,k,nout)+ & & gamma2(ng)*ad_u(i,Jend+1,k,nout) ad_u(i,Jend+1,k,nout)=0.0_r8 END IF END DO END DO END IF END IF ! !----------------------------------------------------------------------- ! Lateral boundary conditions at the southern edge. !----------------------------------------------------------------------- ! IF (DOMAIN(ng)%Southern_Edge(tile)) THEN ! ! Southern edge, implicit upstream radiation condition. ! IF (ad_LBC(isouth,isUvel,ng)%radiation) THEN IF (iic(ng).ne.0) THEN DO k=1,N(ng) DO i=IstrU,Iend IF (LBC_apply(ng)%south(i)) THEN # if defined CELERITY_READ && defined FORWARD_READ IF (ad_LBC(isouth,isUvel,ng)%nudging) THEN IF (LnudgeM3CLM(ng)) THEN obc_out=0.5_r8* & & (CLIMA(ng)%M3nudgcof(i-1,Jstr-1,k)+ & & CLIMA(ng)%M3nudgcof(i ,Jstr-1,k)) obc_in =obcfac(ng)*obc_out ELSE obc_out=M3obc_out(ng,isouth) obc_in =M3obc_in (ng,isouth) END IF IF (BOUNDARY(ng)%u_south_Ce(i,k).lt.0.0_r8) THEN tau=obc_in ELSE tau=obc_out END IF tau=tau*dt(ng) END IF # ifdef RADIATION_2D Cx=BOUNDARY(ng)%u_south_Cx(i,k) # else Cx=0.0_r8 # endif Ce=BOUNDARY(ng)%u_south_Ce(i,k) cff=BOUNDARY(ng)%u_south_C2(i,k) # endif # ifdef MASKING !> tl_u(i,Jstr-1,k,nout)=tl_u(i,Jstr-1,k,nout)* & !> & GRID(ng)%umask(i,Jstr-1) !> ad_u(i,Jstr-1,k,nout)=ad_u(i,Jstr-1,k,nout)* & & GRID(ng)%umask(i,Jstr-1) # endif IF (ad_LBC(isouth,isUvel,ng)%nudging) THEN !> tl_u(i,Jstr-1,k,nout)=tl_u(i,Jstr-1,k,nout)- & !> & tau*tl_u(i,Jstr-1,k,nstp) !> ad_u(i,Jstr-1,k,nstp)=ad_u(i,Jstr-1,k,nstp)- & & tau*ad_u(i,Jstr-1,k,nout) END IF !> tl_u(i,Jstr-1,k,nout)=(cff*tl_u(i,Jstr-1,k,nstp)+ & !> & Ce *tl_u(i,Jstr ,k,nout)- & !> & MAX(Cx,0.0_r8)* & !> & tl_grad(i-1,Jstr-1)- & !> & MIN(Cx,0.0_r8)* & !> & tl_grad(i ,Jstr-1))/ & !> & (cff+Ce) !> adfac=ad_u(i,Jstr-1,k,nout)/(cff+Ce) ad_grad(i-1,Jstr-1)=ad_grad(i-1,Jstr-1)- & & MAX(Cx,0.0_r8)*adfac ad_grad(i ,Jstr-1)=ad_grad(i ,Jstr-1)- & & MIN(Cx,0.0_r8)*adfac ad_u(i,Jstr-1,k,nstp)=ad_u(i,Jstr-1,k,nstp)+cff*adfac ad_u(i,Jstr ,k,nout)=ad_u(i,Jstr ,k,nout)+Ce *adfac ad_u(i,Jstr-1,k,nout)=0.0_r8 END IF END DO END DO END IF ! ! Southern edge, clamped boundary condition. ! ELSE IF (ad_LBC(isouth,isUvel,ng)%clamped) THEN DO k=1,N(ng) DO i=IstrU,Iend IF (LBC_apply(ng)%south(i)) THEN # ifdef MASKING !> tl_u(i,Jstr-1,k,nout)=tl_u(i,Jstr-1,k,nout)* & !> & GRID(ng)%umask(i,Jstr-1) !> ad_u(i,Jstr-1,k,nout)=ad_u(i,Jstr-1,k,nout)* & & GRID(ng)%umask(i,Jstr-1) # endif # ifdef ADJUST_BOUNDARY IF (Lobc(isouth,isUvel,ng)) THEN !> tl_u(i,Jstr-1,k,nout)=BOUNDARY(ng)%tl_u_south(i,k) !> BOUNDARY(ng)%ad_u_south(i,k)=BOUNDARY(ng)% & & ad_u_south(i,k)+ & & ad_u(i,Jstr-1,k,nout) ad_u(i,Jstr-1,k,nout)=0.0_r8 ELSE !> tl_u(i,Jstr-1,k,nout)=0.0_r8 !> ad_u(i,Jstr-1,k,nout)=0.0_r8 END IF # else !> tl_u(i,Jstr-1,k,nout)=0.0_r8 !> ad_u(i,Jstr-1,k,nout)=0.0_r8 # endif END IF END DO END DO ! ! Southern edge, gradient boundary condition. ! ELSE IF (ad_LBC(isouth,isUvel,ng)%gradient) THEN DO k=1,N(ng) DO i=IstrU,Iend IF (LBC_apply(ng)%south(i)) THEN # ifdef MASKING !> tl_u(i,Jstr-1,k,nout)=tl_u(i,Jstr-1,k,nout)* & !> & GRID(ng)%umask(i,Jstr-1) !> ad_u(i,Jstr-1,k,nout)=ad_u(i,Jstr-1,k,nout)* & & GRID(ng)%umask(i,Jstr-1) # endif !> tl_u(i,Jstr-1,k,nout)=tl_u(i,Jstr,k,nout) !> ad_u(i,Jstr ,k,nout)=ad_u(i,Jstr ,k,nout)+ & & ad_u(i,Jstr-1,k,nout) ad_u(i,Jstr-1,k,nout)=0.0_r8 END IF END DO END DO ! ! Southern edge, closed boundary condition: free slip (gamma2=1) or ! no slip (gamma2=-1). ! ELSE IF (ad_LBC(isouth,isUvel,ng)%closed) THEN IF (EWperiodic(ng)) THEN Imin=IstrU Imax=Iend ELSE Imin=Istr Imax=IendR END IF DO k=1,N(ng) DO i=Imin,Imax IF (LBC_apply(ng)%south(i)) THEN # ifdef MASKING !> tl_u(i,Jstr-1,k,nout)=tl_u(i,Jstr-1,k,nout)* & !> & GRID(ng)%umask(i,Jstr-1) !> ad_u(i,Jstr-1,k,nout)=ad_u(i,Jstr-1,k,nout)* & & GRID(ng)%umask(i,Jstr-1) # endif !> tl_u(i,Jstr-1,k,nout)=gamma2(ng)*tl_u(i,Jstr,k,nout) !> ad_u(i,Jstr ,k,nout)=ad_u(i,Jstr ,k,nout)+ & & gamma2(ng)*ad_u(i,Jstr-1,k,nout) ad_u(i,Jstr-1,k,nout)=0.0_r8 END IF END DO END DO END IF END IF ! !----------------------------------------------------------------------- ! Lateral boundary conditions at the eastern edge. !----------------------------------------------------------------------- ! IF (DOMAIN(ng)%Eastern_Edge(tile)) THEN ! ! Eastern edge, implicit upstream radiation condition. ! IF (ad_LBC(ieast,isUvel,ng)%radiation) THEN IF (iic(ng).ne.0) THEN DO k=1,N(ng) DO j=Jstr,Jend IF (LBC_apply(ng)%east(j)) THEN # if defined CELERITY_READ && defined FORWARD_READ IF (ad_LBC(ieast,isUvel,ng)%nudging) THEN IF (LnudgeM3CLM(ng)) THEN obc_out=0.5_r8* & & (CLIMA(ng)%M3nudgcof(Iend ,j,k)+ & & CLIMA(ng)%M3nudgcof(Iend+1,j,k)) obc_in =obcfac(ng)*obc_out ELSE obc_out=M3obc_out(ng,ieast) obc_in =M3obc_in (ng,ieast) END IF IF (BOUNDARY(ng)%u_east_Cx(j,k).lt.0.0_r8) THEN tau=obc_in ELSE tau=obc_out END IF tau=tau*dt(ng) END IF Cx=BOUNDARY(ng)%u_east_Cx(j,k) # ifdef RADIATION_2D Ce=BOUNDARY(ng)%u_east_Ce(j,k) # else Ce=0.0_r8 # endif cff=BOUNDARY(ng)%u_east_C2(j,k) # endif # ifdef MASKING !> tl_u(Iend+1,j,k,nout)=tl_u(Iend+1,j,k,nout)* & !> & GRID(ng)%umask(Iend+1,j) !> ad_u(Iend+1,j,k,nout)=ad_u(Iend+1,j,k,nout)* & & GRID(ng)%umask(Iend+1,j) # endif IF (ad_LBC(ieast,isUvel,ng)%nudging) THEN !> tl_u(Iend+1,j,k,nout)=tl_u(Iend+1,j,k,nout)- & !> & tau*tl_u(Iend+1,j,k,nstp) !> ad_u(Iend+1,j,k,nstp)=ad_u(Iend+1,j,k,nstp)- & & tau*ad_u(Iend+1,j,k,nout) END IF !> tl_u(Iend+1,j,k,nout)=(cff*tl_u(Iend+1,j,k,nstp)+ & !> & Cx *tl_u(Iend ,j,k,nout)- & !> & MAX(Ce,0.0_r8)* & !> & tl_grad(Iend+1,j )- & !> & MIN(Ce,0.0_r8)* & !> & tl_grad(Iend+1,j+1))/ & !> & (cff+Cx) !> adfac=ad_u(Iend+1,j,k,nout)/(cff+Cx) ad_grad(Iend+1,j )=ad_grad(Iend+1,j )- & & MAX(Ce,0.0_r8)*adfac ad_grad(Iend+1,j+1)=ad_grad(Iend+1,j+1)- & & MIN(Ce,0.0_r8)*adfac ad_u(Iend ,j,k,nout)=ad_u(Iend ,j,k,nout)+Cx *adfac ad_u(Iend+1,j,k,nstp)=ad_u(Iend+1,j,k,nstp)+cff*adfac ad_u(Iend+1,j,k,nout)=0.0_r8 END IF END DO END DO END IF ! ! Eastern edge, clamped boundary condition. ! ELSE IF (ad_LBC(ieast,isUvel,ng)%clamped) THEN DO k=1,N(ng) DO j=Jstr,Jend IF (LBC_apply(ng)%east(j)) THEN # ifdef MASKING !> tl_u(Iend+1,j,k,nout)=tl_u(Iend+1,j,k,nout)* & !> & GRID(ng)%umask(Iend+1,j) !> ad_u(Iend+1,j,k,nout)=ad_u(Iend+1,j,k,nout)* & & GRID(ng)%umask(Iend+1,j) # endif # ifdef ADJUST_BOUNDARY IF (Lobc(ieast,isUvel,ng)) THEN !> tl_u(Iend+1,j,k,nout)=BOUNDARY(ng)%tl_u_east(j,k) !> BOUNDARY(ng)%ad_u_east(j,k)= & & BOUNDARY(ng)%ad_u_east(j,k)+ & & ad_u(Iend+1,j,k,nout) ad_u(Iend+1,j,k,nout)=0.0_r8 ELSE !> tl_u(Iend+1,j,k,nout)=0.0_r8 !> ad_u(Iend+1,j,k,nout)=0.0_r8 END IF # else !> tl_u(Iend+1,j,k,nout)=0.0_r8 !> ad_u(Iend+1,j,k,nout)=0.0_r8 # endif END IF END DO END DO ! ! Eastern edge, gradient boundary condition. ! ELSE IF (ad_LBC(ieast,isUvel,ng)%gradient) THEN DO k=1,N(ng) DO j=Jstr,Jend IF (LBC_apply(ng)%east(j)) THEN # ifdef MASKING !> tl_u(Iend+1,j,k,nout)=tl_u(Iend+1,j,k,nout)* & !> & GRID(ng)%umask(Iend+1,j) !> ad_u(Iend+1,j,k,nout)=ad_u(Iend+1,j,k,nout)* & & GRID(ng)%umask(Iend+1,j) # endif !> tl_u(Iend+1,j,k,nout)=tl_u(Iend,j,k,nout) !> ad_u(Iend ,j,k,nout)=ad_u(Iend ,j,k,nout)+ & & ad_u(Iend+1,j,k,nout) ad_u(Iend+1,j,k,nout)=0.0_r8 END IF END DO END DO ! ! Eastern edge, closed boundary condition. ! ELSE IF (ad_LBC(ieast,isUvel,ng)%closed) THEN DO k=1,N(ng) DO j=Jstr,Jend IF (LBC_apply(ng)%east(j)) THEN !> tl_u(Iend+1,j,k,nout)=0.0_r8 !> ad_u(Iend+1,j,k,nout)=0.0_r8 END IF END DO END DO END IF END IF ! !----------------------------------------------------------------------- ! Lateral boundary conditions at the western edge. !----------------------------------------------------------------------- ! IF (DOMAIN(ng)%Western_Edge(tile)) THEN ! ! Western edge, implicit upstream radiation condition. ! IF (ad_LBC(iwest,isUvel,ng)%radiation) THEN IF (iic(ng).ne.0) THEN DO k=1,N(ng) DO j=Jstr,Jend IF (LBC_apply(ng)%west(j)) THEN # if defined CELERITY_READ && defined FORWARD_READ IF (ad_LBC(iwest,isUvel,ng)%nudging) THEN IF (LnudgeM3CLM(ng)) THEN obc_out=0.5_r8* & & (CLIMA(ng)%M3nudgcof(Istr-1,j,k)+ & & CLIMA(ng)%M3nudgcof(Istr ,j,k)) obc_in =obcfac(ng)*obc_out ELSE obc_out=M3obc_out(ng,iwest) obc_in =M3obc_in (ng,iwest) END IF IF (BOUNDARY(ng)%u_west_Cx(j,k).lt.0.0_r8) THEN tau=obc_in ELSE tau=obc_out END IF tau=tau*dt(ng) END IF Cx=BOUNDARY(ng)%u_west_Cx(j,k) # ifdef RADIATION_2D Ce=BOUNDARY(ng)%u_west_Ce(j,k) # else Ce=0.0_r8 # endif cff=BOUNDARY(ng)%u_west_C2(j,k) # endif # ifdef MASKING !> tl_u(Istr,j,k,nout)=tl_u(Istr,j,k,nout)* & !> & GRID(ng)%umask(Istr,j) !> ad_u(Istr,j,k,nout)=ad_u(Istr,j,k,nout)* & & GRID(ng)%umask(Istr,j) # endif IF (ad_LBC(iwest,isUvel,ng)%nudging) THEN !> tl_u(Istr,j,k,nout)=tl_u(Istr,j,k,nout)- & !> & tau*tl_u(Istr,j,k,nstp) !> ad_u(Istr,j,k,nstp)=ad_u(Istr,j,k,nstp)- & & tau*ad_u(Istr,j,k,nout) END IF !> tl_u(Istr,j,k,nout)=(cff*tl_u(Istr ,j,k,nstp)+ & !> & Cx *tl_u(Istr+1,j,k,nout)- & !> & MAX(Ce,0.0_r8)* & !> & tl_grad(Istr,j )- & !> & MIN(Ce,0.0_r8)* & !> & tl_grad(Istr,j+1))/ & !> & (cff+Cx) !> adfac=ad_u(Istr,j,k,nout)/(cff+Cx) ad_grad(Istr,j )=ad_grad(Istr,j )- & & MAX(Ce,0.0_r8)*adfac ad_grad(Istr,j+1)=ad_grad(Istr,j+1)- & & MIN(Ce,0.0_r8)*adfac ad_u(Istr ,j,k,nstp)=ad_u(Istr ,j,k,nstp)+cff*adfac ad_u(Istr+1,j,k,nout)=ad_u(Istr+1,j,k,nout)+Cx *adfac ad_u(Istr ,j,k,nout)=0.0_r8 END IF END DO END DO END IF ! ! Western edge, clamped boundary condition. ! ELSE IF (ad_LBC(iwest,isUvel,ng)%clamped) THEN DO k=1,N(ng) DO j=Jstr,Jend IF (LBC_apply(ng)%west(j)) THEN # ifdef MASKING !> tl_u(Istr,j,k,nout)=tl_u(Istr,j,k,nout)* & !> & GRID(ng)%umask(Istr,j) !> ad_u(Istr,j,k,nout)=ad_u(Istr,j,k,nout)* & & GRID(ng)%umask(Istr,j) # endif # ifdef ADJUST_BOUNDARY IF (Lobc(iwest,isUvel,ng)) THEN !> tl_u(Istr,j,k,nout)=BOUNDARY(ng)%tl_u_west(j,k) !> BOUNDARY(ng)%ad_u_west(j,k)= & & BOUNDARY(ng)%ad_u_west(j,k)+ & & ad_u(Istr,j,k,nout) ad_u(Istr,j,k,nout)=0.0_r8 ELSE !> tl_u(Istr,j,k,nout)=0.0_r8 !> ad_u(Istr,j,k,nout)=0.0_r8 END IF # else !> tl_u(Istr,j,k,nout)=0.0_r8 !> ad_u(Istr,j,k,nout)=0.0_r8 # endif END IF END DO END DO ! ! Western edge, gradient boundary condition. ! ELSE IF (ad_LBC(iwest,isUvel,ng)%gradient) THEN DO k=1,N(ng) DO j=Jstr,Jend IF (LBC_apply(ng)%west(j)) THEN # ifdef MASKING !> tl_u(Istr,j,k,nout)=tl_u(Istr,j,k,nout)* & !> & GRID(ng)%umask(Istr,j) !> ad_u(Istr ,j,k,nout)=ad_u(Istr ,j,k,nout)* & & GRID(ng)%umask(Istr,j) # endif !> tl_u(Istr,j,k,nout)=tl_u(Istr+1,j,k,nout) !> ad_u(Istr+1,j,k,nout)=ad_u(Istr+1,j,k,nout)+ & & ad_u(Istr ,j,k,nout) ad_u(Istr ,j,k,nout)=0.0_r8 END IF END DO END DO ! ! Western edge, closed boundary condition. ! ELSE IF (ad_LBC(iwest,isUvel,ng)%closed) THEN DO k=1,N(ng) DO j=Jstr,Jend IF (LBC_apply(ng)%west(j)) THEN !> tl_u(Istr,j,k,nout)=0.0_r8 !> ad_u(Istr,j,k,nout)=0.0_r8 END IF END DO END DO END IF END IF RETURN END SUBROUTINE ad_u3dbc_tile #endif END MODULE ad_u3dbc_mod