MODULE ad_bc_bry3d_mod
!
!git $Id$
!svn $Id: ad_bc_bry3d.F 1151 2023-02-09 03:08:53Z arango $
!================================================== Hernan G. Arango ===
!  Copyright (c) 2002-2023 The ROMS/TOMS Group                         !
!    Licensed under a MIT/X style license                              !
!    See License_ROMS.md                                               !
!=======================================================================
!                                                                      !
!  This package applies adjoint gradient conditions for generic 3D     !
!  boundary fields.                                                    !
!                                                                      !
!  Routines:                                                           !
!                                                                      !
!    ad_bc_r3d_bry_tile    Boundary conditions for field at RHO-points !
!    ad_bc_u3d_bry_tile    Boundary conditions for field at U-points   !
!    ad_bc_v3d_bry_tile    Boundary conditions for field at V-points   !
!                                                                      !
!=======================================================================
!
      implicit none
      CONTAINS
!
!***********************************************************************
      SUBROUTINE ad_bc_r3d_bry_tile (ng, tile, boundary,                &
     &                               LBij, UBij, LBk, UBk,              &
     &                               ad_A)
!***********************************************************************
!
      USE mod_param
      USE mod_scalars
!
!  Imported variable declarations.
!
      integer, intent(in) :: ng, tile, boundary
      integer, intent(in) :: LBij, UBij, LBk, UBk
      real(r8), intent(inout) :: ad_A(LBij:,LBk:)
!
!  Local variable declarations.
!
      integer :: k
!
!-----------------------------------------------------------------------
!  Set lower and upper tile bounds and staggered variables bounds for
!  this horizontal domain partition.  Notice that if tile=-1, it will
!  set the values for the global grid.
!-----------------------------------------------------------------------
!
      integer :: Istr, IstrB, IstrP, IstrR, IstrT, IstrM, IstrU
      integer :: Iend, IendB, IendP, IendR, IendT
      integer :: Jstr, JstrB, JstrP, JstrR, JstrT, JstrM, JstrV
      integer :: Jend, JendB, JendP, JendR, JendT
      integer :: Istrm3, Istrm2, Istrm1, IstrUm2, IstrUm1
      integer :: Iendp1, Iendp2, Iendp2i, Iendp3
      integer :: Jstrm3, Jstrm2, Jstrm1, JstrVm2, JstrVm1
      integer :: Jendp1, Jendp2, Jendp2i, Jendp3
!
      Istr   =BOUNDS(ng) % Istr   (tile)
      IstrB  =BOUNDS(ng) % IstrB  (tile)
      IstrM  =BOUNDS(ng) % IstrM  (tile)
      IstrP  =BOUNDS(ng) % IstrP  (tile)
      IstrR  =BOUNDS(ng) % IstrR  (tile)
      IstrT  =BOUNDS(ng) % IstrT  (tile)
      IstrU  =BOUNDS(ng) % IstrU  (tile)
      Iend   =BOUNDS(ng) % Iend   (tile)
      IendB  =BOUNDS(ng) % IendB  (tile)
      IendP  =BOUNDS(ng) % IendP  (tile)
      IendR  =BOUNDS(ng) % IendR  (tile)
      IendT  =BOUNDS(ng) % IendT  (tile)
      Jstr   =BOUNDS(ng) % Jstr   (tile)
      JstrB  =BOUNDS(ng) % JstrB  (tile)
      JstrM  =BOUNDS(ng) % JstrM  (tile)
      JstrP  =BOUNDS(ng) % JstrP  (tile)
      JstrR  =BOUNDS(ng) % JstrR  (tile)
      JstrT  =BOUNDS(ng) % JstrT  (tile)
      JstrV  =BOUNDS(ng) % JstrV  (tile)
      Jend   =BOUNDS(ng) % Jend   (tile)
      JendB  =BOUNDS(ng) % JendB  (tile)
      JendP  =BOUNDS(ng) % JendP  (tile)
      JendR  =BOUNDS(ng) % JendR  (tile)
      JendT  =BOUNDS(ng) % JendT  (tile)
!
      Istrm3 =BOUNDS(ng) % Istrm3 (tile)            ! Istr-3
      Istrm2 =BOUNDS(ng) % Istrm2 (tile)            ! Istr-2
      Istrm1 =BOUNDS(ng) % Istrm1 (tile)            ! Istr-1
      IstrUm2=BOUNDS(ng) % IstrUm2(tile)            ! IstrU-2
      IstrUm1=BOUNDS(ng) % IstrUm1(tile)            ! IstrU-1
      Iendp1 =BOUNDS(ng) % Iendp1 (tile)            ! Iend+1
      Iendp2 =BOUNDS(ng) % Iendp2 (tile)            ! Iend+2
      Iendp2i=BOUNDS(ng) % Iendp2i(tile)            ! Iend+2 interior
      Iendp3 =BOUNDS(ng) % Iendp3 (tile)            ! Iend+3
      Jstrm3 =BOUNDS(ng) % Jstrm3 (tile)            ! Jstr-3
      Jstrm2 =BOUNDS(ng) % Jstrm2 (tile)            ! Jstr-2
      Jstrm1 =BOUNDS(ng) % Jstrm1 (tile)            ! Jstr-1
      JstrVm2=BOUNDS(ng) % JstrVm2(tile)            ! JstrV-2
      JstrVm1=BOUNDS(ng) % JstrVm1(tile)            ! JstrV-1
      Jendp1 =BOUNDS(ng) % Jendp1 (tile)            ! Jend+1
      Jendp2 =BOUNDS(ng) % Jendp2 (tile)            ! Jend+2
      Jendp2i=BOUNDS(ng) % Jendp2i(tile)            ! Jend+2 interior
      Jendp3 =BOUNDS(ng) % Jendp3 (tile)            ! Jend+3
!
!-----------------------------------------------------------------------
!  Adjoint Southern and Northern edges: gradient boundary conditions.
!-----------------------------------------------------------------------
!
      IF (boundary.eq.inorth) THEN
        IF (DOMAIN(ng)%NorthEast_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Iend+1,k)=tl_A(Iend,k)
!^
            ad_A(Iend,k)=ad_A(Iend,k)+ad_A(Iend+1,k)
            ad_A(Iend+1,k)=0.0_r8
          END DO
        END IF
        IF (DOMAIN(ng)%NorthWest_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Istr-1,k)=tl_A(Istr,k)
!^
            ad_A(Istr,k)=ad_A(Istr,k)+ad_A(Istr-1,k)
            ad_A(Istr-1,k)=0.0_r8
          END DO
        END IF
      END IF
      IF (boundary.eq.isouth) THEN
        IF (DOMAIN(ng)%SouthEast_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Iend+1,k)=tl_A(Iend,k)
!^
            ad_A(Iend,k)=ad_A(Iend,k)+ad_A(Iend+1,k)
            ad_A(Iend+1,k)=0.0_r8
          END DO
        END IF
        IF (DOMAIN(ng)%SouthWest_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Istr-1,k)=tl_A(Istr,k)
!^
            ad_A(Istr,k)=ad_A(Istr,k)+ad_A(Istr-1,k)
            ad_A(Istr-1,k)=0.0_r8
          END DO
        END IF
      END IF
!
!-----------------------------------------------------------------------
!  Adjoint Western and Eastern edges: gradient boundary conditions.
!-----------------------------------------------------------------------
!
      IF (boundary.eq.ieast) THEN
        IF (DOMAIN(ng)%NorthEast_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Jend+1,k)=tl_A(Jend,k)
!^
            ad_A(Jend,k)=ad_A(Jend,k)+ad_A(Jend+1,k)
            ad_A(Jend+1,k)=0.0_r8
          END DO
        END IF
        IF (DOMAIN(ng)%SouthEast_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Jstr-1,k)=tl_A(Jstr,k)
!^
            ad_A(Jstr,k)=ad_A(Jstr,k)+ad_A(Jstr-1,k)
            ad_A(Jstr-1,k)=0.0_r8
          END DO
        END IF
      END IF
      IF (boundary.eq.iwest) THEN
        IF (DOMAIN(ng)%NorthWest_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Jend+1,k)=tl_A(Jend,k)
!^
            ad_A(Jend,k)=ad_A(Jend,k)+ad_A(Jend+1,k)
            ad_A(Jend+1,k)=0.0_r8
          END DO
        END IF
        IF (DOMAIN(ng)%SouthWest_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Jstr-1,k)=tl_A(Jstr,k)
!^
            ad_A(Jstr,k)=ad_A(Jstr,k)+ad_A(Jstr-1,k)
            ad_A(Jstr-1,k)=0.0_r8
          END DO
        END IF
      END IF
      RETURN
      END SUBROUTINE ad_bc_r3d_bry_tile
!
!***********************************************************************
      SUBROUTINE ad_bc_u3d_bry_tile (ng, tile, boundary,                &
     &                               LBij, UBij, LBk, UBk,              &
     &                               ad_A)
!***********************************************************************
!
      USE mod_param
      USE mod_scalars
!
!  Imported variable declarations.
!
      integer, intent(in) :: ng, tile, boundary
      integer, intent(in) :: LBij, UBij, LBk, UBk
      real(r8), intent(inout) :: ad_A(LBij:,LBk:)
!
!  Local variable declarations.
!
      integer :: k
!
!-----------------------------------------------------------------------
!  Set lower and upper tile bounds and staggered variables bounds for
!  this horizontal domain partition.  Notice that if tile=-1, it will
!  set the values for the global grid.
!-----------------------------------------------------------------------
!
      integer :: Istr, IstrB, IstrP, IstrR, IstrT, IstrM, IstrU
      integer :: Iend, IendB, IendP, IendR, IendT
      integer :: Jstr, JstrB, JstrP, JstrR, JstrT, JstrM, JstrV
      integer :: Jend, JendB, JendP, JendR, JendT
      integer :: Istrm3, Istrm2, Istrm1, IstrUm2, IstrUm1
      integer :: Iendp1, Iendp2, Iendp2i, Iendp3
      integer :: Jstrm3, Jstrm2, Jstrm1, JstrVm2, JstrVm1
      integer :: Jendp1, Jendp2, Jendp2i, Jendp3
!
      Istr   =BOUNDS(ng) % Istr   (tile)
      IstrB  =BOUNDS(ng) % IstrB  (tile)
      IstrM  =BOUNDS(ng) % IstrM  (tile)
      IstrP  =BOUNDS(ng) % IstrP  (tile)
      IstrR  =BOUNDS(ng) % IstrR  (tile)
      IstrT  =BOUNDS(ng) % IstrT  (tile)
      IstrU  =BOUNDS(ng) % IstrU  (tile)
      Iend   =BOUNDS(ng) % Iend   (tile)
      IendB  =BOUNDS(ng) % IendB  (tile)
      IendP  =BOUNDS(ng) % IendP  (tile)
      IendR  =BOUNDS(ng) % IendR  (tile)
      IendT  =BOUNDS(ng) % IendT  (tile)
      Jstr   =BOUNDS(ng) % Jstr   (tile)
      JstrB  =BOUNDS(ng) % JstrB  (tile)
      JstrM  =BOUNDS(ng) % JstrM  (tile)
      JstrP  =BOUNDS(ng) % JstrP  (tile)
      JstrR  =BOUNDS(ng) % JstrR  (tile)
      JstrT  =BOUNDS(ng) % JstrT  (tile)
      JstrV  =BOUNDS(ng) % JstrV  (tile)
      Jend   =BOUNDS(ng) % Jend   (tile)
      JendB  =BOUNDS(ng) % JendB  (tile)
      JendP  =BOUNDS(ng) % JendP  (tile)
      JendR  =BOUNDS(ng) % JendR  (tile)
      JendT  =BOUNDS(ng) % JendT  (tile)
!
      Istrm3 =BOUNDS(ng) % Istrm3 (tile)            ! Istr-3
      Istrm2 =BOUNDS(ng) % Istrm2 (tile)            ! Istr-2
      Istrm1 =BOUNDS(ng) % Istrm1 (tile)            ! Istr-1
      IstrUm2=BOUNDS(ng) % IstrUm2(tile)            ! IstrU-2
      IstrUm1=BOUNDS(ng) % IstrUm1(tile)            ! IstrU-1
      Iendp1 =BOUNDS(ng) % Iendp1 (tile)            ! Iend+1
      Iendp2 =BOUNDS(ng) % Iendp2 (tile)            ! Iend+2
      Iendp2i=BOUNDS(ng) % Iendp2i(tile)            ! Iend+2 interior
      Iendp3 =BOUNDS(ng) % Iendp3 (tile)            ! Iend+3
      Jstrm3 =BOUNDS(ng) % Jstrm3 (tile)            ! Jstr-3
      Jstrm2 =BOUNDS(ng) % Jstrm2 (tile)            ! Jstr-2
      Jstrm1 =BOUNDS(ng) % Jstrm1 (tile)            ! Jstr-1
      JstrVm2=BOUNDS(ng) % JstrVm2(tile)            ! JstrV-2
      JstrVm1=BOUNDS(ng) % JstrVm1(tile)            ! JstrV-1
      Jendp1 =BOUNDS(ng) % Jendp1 (tile)            ! Jend+1
      Jendp2 =BOUNDS(ng) % Jendp2 (tile)            ! Jend+2
      Jendp2i=BOUNDS(ng) % Jendp2i(tile)            ! Jend+2 interior
      Jendp3 =BOUNDS(ng) % Jendp3 (tile)            ! Jend+3
!
!-----------------------------------------------------------------------
!  Adjoint Southern and Northern edges: gradient boundary conditions.
!-----------------------------------------------------------------------
!
      IF (boundary.eq.inorth) THEN
        IF (DOMAIN(ng)%NorthEast_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Iend+1,k)=tl_A(Iend,k)
!^
            ad_A(Iend,k)=ad_A(Iend,k)+ad_A(Iend+1,k)
            ad_A(Iend+1,k)=0.0_r8
          END DO
        END IF
        IF (DOMAIN(ng)%NorthWest_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(IstrU-1,k)=tl_A(IstrU,k)
!^
            ad_A(IstrU,k)=ad_A(IstrU,k)+ad_A(IstrU-1,k)
            ad_A(IstrU-1,k)=0.0_r8
          END DO
        END IF
      END IF
      IF (boundary.eq.isouth) THEN
        IF (DOMAIN(ng)%SouthEast_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Iend+1,k)=tl_A(Iend,k)
!^
            ad_A(Iend,k)=ad_A(Iend,k)+ad_A(Iend+1,k)
            ad_A(Iend+1,k)=0.0_r8
          END DO
        END IF
        IF (DOMAIN(ng)%SouthWest_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(IstrU-1,k)=tl_A(IstrU,k)
!^
            ad_A(IstrU,k)=ad_A(IstrU,k)+ad_A(IstrU-1,k)
            ad_A(IstrU-1,k)=0.0_r8
          END DO
        END IF
      END IF
!
!-----------------------------------------------------------------------
!  Adjoint Western and Eastern edges: gradient boundary conditions.
!-----------------------------------------------------------------------
!
      IF (boundary.eq.ieast) THEN
        IF (DOMAIN(ng)%NorthEast_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Jend+1,k)=tl_A(Jend,k)
!^
            ad_A(Jend,k)=ad_A(Jend,k)+ad_A(Jend+1,k)
            ad_A(Jend+1,k)=0.0_r8
          END DO
        END IF
        IF (DOMAIN(ng)%SouthEast_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Jstr-1,k)=tl_A(Jstr,k)
!^
            ad_A(Jstr,k)=ad_A(Jstr,k)+ad_A(Jstr-1,k)
            ad_A(Jstr-1,k)=0.0_r8
          END DO
        END IF
      END IF
      IF (boundary.eq.iwest) THEN
        IF (DOMAIN(ng)%NorthWest_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Jend+1,k)=tl_A(Jend,k)
!^
            ad_A(Jend,k)=ad_A(Jend,k)+ad_A(Jend+1,k)
            ad_A(Jend+1,k)=0.0_r8
          END DO
        END IF
        IF (DOMAIN(ng)%SouthWest_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Jstr-1,k)=tl_A(Jstr,k)
!^
            ad_A(Jstr,k)=ad_A(Jstr,k)+ad_A(Jstr-1,k)
            ad_A(Jstr-1,k)=0.0_r8
          END DO
        END IF
      END IF
      RETURN
      END SUBROUTINE ad_bc_u3d_bry_tile
!
!***********************************************************************
      SUBROUTINE ad_bc_v3d_bry_tile (ng, tile, boundary,                &
     &                               LBij, UBij, LBk, UBk,              &
     &                               ad_A)
!***********************************************************************
!
      USE mod_param
      USE mod_scalars
!
!  Imported variable declarations.
!
      integer, intent(in) :: ng, tile, boundary
      integer, intent(in) :: LBij, UBij, LBk, UBk
      real(r8), intent(inout) :: ad_A(LBij:,LBk:)
!
!  Local variable declarations.
!
      integer :: k
!
!-----------------------------------------------------------------------
!  Set lower and upper tile bounds and staggered variables bounds for
!  this horizontal domain partition.  Notice that if tile=-1, it will
!  set the values for the global grid.
!-----------------------------------------------------------------------
!
      integer :: Istr, IstrB, IstrP, IstrR, IstrT, IstrM, IstrU
      integer :: Iend, IendB, IendP, IendR, IendT
      integer :: Jstr, JstrB, JstrP, JstrR, JstrT, JstrM, JstrV
      integer :: Jend, JendB, JendP, JendR, JendT
      integer :: Istrm3, Istrm2, Istrm1, IstrUm2, IstrUm1
      integer :: Iendp1, Iendp2, Iendp2i, Iendp3
      integer :: Jstrm3, Jstrm2, Jstrm1, JstrVm2, JstrVm1
      integer :: Jendp1, Jendp2, Jendp2i, Jendp3
!
      Istr   =BOUNDS(ng) % Istr   (tile)
      IstrB  =BOUNDS(ng) % IstrB  (tile)
      IstrM  =BOUNDS(ng) % IstrM  (tile)
      IstrP  =BOUNDS(ng) % IstrP  (tile)
      IstrR  =BOUNDS(ng) % IstrR  (tile)
      IstrT  =BOUNDS(ng) % IstrT  (tile)
      IstrU  =BOUNDS(ng) % IstrU  (tile)
      Iend   =BOUNDS(ng) % Iend   (tile)
      IendB  =BOUNDS(ng) % IendB  (tile)
      IendP  =BOUNDS(ng) % IendP  (tile)
      IendR  =BOUNDS(ng) % IendR  (tile)
      IendT  =BOUNDS(ng) % IendT  (tile)
      Jstr   =BOUNDS(ng) % Jstr   (tile)
      JstrB  =BOUNDS(ng) % JstrB  (tile)
      JstrM  =BOUNDS(ng) % JstrM  (tile)
      JstrP  =BOUNDS(ng) % JstrP  (tile)
      JstrR  =BOUNDS(ng) % JstrR  (tile)
      JstrT  =BOUNDS(ng) % JstrT  (tile)
      JstrV  =BOUNDS(ng) % JstrV  (tile)
      Jend   =BOUNDS(ng) % Jend   (tile)
      JendB  =BOUNDS(ng) % JendB  (tile)
      JendP  =BOUNDS(ng) % JendP  (tile)
      JendR  =BOUNDS(ng) % JendR  (tile)
      JendT  =BOUNDS(ng) % JendT  (tile)
!
      Istrm3 =BOUNDS(ng) % Istrm3 (tile)            ! Istr-3
      Istrm2 =BOUNDS(ng) % Istrm2 (tile)            ! Istr-2
      Istrm1 =BOUNDS(ng) % Istrm1 (tile)            ! Istr-1
      IstrUm2=BOUNDS(ng) % IstrUm2(tile)            ! IstrU-2
      IstrUm1=BOUNDS(ng) % IstrUm1(tile)            ! IstrU-1
      Iendp1 =BOUNDS(ng) % Iendp1 (tile)            ! Iend+1
      Iendp2 =BOUNDS(ng) % Iendp2 (tile)            ! Iend+2
      Iendp2i=BOUNDS(ng) % Iendp2i(tile)            ! Iend+2 interior
      Iendp3 =BOUNDS(ng) % Iendp3 (tile)            ! Iend+3
      Jstrm3 =BOUNDS(ng) % Jstrm3 (tile)            ! Jstr-3
      Jstrm2 =BOUNDS(ng) % Jstrm2 (tile)            ! Jstr-2
      Jstrm1 =BOUNDS(ng) % Jstrm1 (tile)            ! Jstr-1
      JstrVm2=BOUNDS(ng) % JstrVm2(tile)            ! JstrV-2
      JstrVm1=BOUNDS(ng) % JstrVm1(tile)            ! JstrV-1
      Jendp1 =BOUNDS(ng) % Jendp1 (tile)            ! Jend+1
      Jendp2 =BOUNDS(ng) % Jendp2 (tile)            ! Jend+2
      Jendp2i=BOUNDS(ng) % Jendp2i(tile)            ! Jend+2 interior
      Jendp3 =BOUNDS(ng) % Jendp3 (tile)            ! Jend+3
!
!-----------------------------------------------------------------------
!  Adjoint Southern and Northern edges: gradient boundary conditions.
!-----------------------------------------------------------------------
!
      IF (boundary.eq.inorth) THEN
        IF (DOMAIN(ng)%NorthEast_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Iend+1,k)=tl_A(Iend,k)
!^
            ad_A(Iend,k)=ad_A(Iend,k)+ad_A(Iend+1,k)
            ad_A(Iend+1,k)=0.0_r8
          END DO
        END IF
        IF (DOMAIN(ng)%NorthWest_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Istr-1,k)=tl_A(Istr,k)
!^
            ad_A(Istr,k)=ad_A(Istr,k)+ad_A(Istr-1,k)
            ad_A(Istr-1,k)=0.0_r8
          END DO
        END IF
      END IF
      IF (boundary.eq.isouth) THEN
        IF (DOMAIN(ng)%SouthEast_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Iend+1,k)=tl_A(Iend,k)
!^
            ad_A(Iend,k)=ad_A(Iend,k)+ad_A(Iend+1,k)
            ad_A(Iend+1,k)=0.0_r8
          END DO
        END IF
        IF (DOMAIN(ng)%SouthWest_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Istr-1,k)=tl_A(Istr,k)
!^
            ad_A(Istr,k)=ad_A(Istr,k)+ad_A(Istr-1,k)
            ad_A(Istr-1,k)=0.0_r8
          END DO
        END IF
      END IF
!
!-----------------------------------------------------------------------
!  Adjoint Western and Eastern edges: gradient boundary conditions.
!-----------------------------------------------------------------------
!
      IF (boundary.eq.ieast) THEN
        IF (DOMAIN(ng)%NorthEast_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Jend+1,k)=tl_A(Jend,k)
!^
            ad_A(Jend,k)=ad_A(Jend,k)+ad_A(Jend+1,k)
            ad_A(Jend+1,k)=0.0_r8
          END DO
        END IF
        IF (DOMAIN(ng)%SouthEast_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(JstrV-1,k)=tl_A(JstrV,k)
!^
            ad_A(JstrV,k)=ad_A(JstrV,k)+ad_A(JstrV-1,k)
            ad_A(JstrV-1,k)=0.0_r8
          END DO
        END IF
      END IF
      IF (boundary.eq.iwest) THEN
        IF (DOMAIN(ng)%NorthWest_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(Jend+1,k)=tl_A(Jend,k)
!^
            ad_A(Jend,k)=ad_A(Jend,k)+ad_A(Jend+1,k)
            ad_A(Jend+1,k)=0.0_r8
          END DO
        END IF
        IF (DOMAIN(ng)%SouthWest_Corner(tile)) THEN
          DO k=LBk,UBk
!^          tl_A(JstrV-1,k)=tl_A(JstrV,k)
!^
            ad_A(JstrV,k)=ad_A(JstrV,k)+ad_A(JstrV-1,k)
            ad_A(JstrV-1,k)=0.0_r8
          END DO
        END IF
      END IF
      RETURN
      END SUBROUTINE ad_bc_v3d_bry_tile
      END MODULE ad_bc_bry3d_mod