#include "cppdefs.h"
      MODULE rp_u2dbc_mod
#ifdef TL_IOMS
!
!svn $Id$
!================================================== Hernan G. Arango ===
!  Copyright (c) 2002-2020 The ROMS/TOMS Group       Andrew M. Moore   !
!    Licensed under a MIT/X style license                              !
!    See License_ROMS.txt                                              !
!=======================================================================
!                                                                      !
!  This subroutine sets representers tangent linear lateral boundary   !
!  conditions for vertically integrated  U-velocity.  It updates the   !
!  specified "kout" index.                                             !
!                                                                      !
!  BASIC STATE variables needed: ubar                                  !
!                                                                      !
!=======================================================================
!
      implicit none
!
      PRIVATE
      PUBLIC  :: rp_u2dbc, rp_u2dbc_tile
!
      CONTAINS
!
!***********************************************************************
      SUBROUTINE rp_u2dbc (ng, tile, kout)
!***********************************************************************
!
      USE mod_param
      USE mod_ocean
      USE mod_stepping
!
!  Imported variable declarations.
!
      integer, intent(in) :: ng, tile, kout
!
!  Local variable declarations.
!
# include "tile.h"
!
      CALL rp_u2dbc_tile (ng, tile,                                     &
     &                    LBi, UBi, LBj, UBj,                           &
     &                    IminS, ImaxS, JminS, JmaxS,                   &
     &                    krhs(ng), kstp(ng), kout,                     &
     &                    OCEAN(ng) % ubar,                             &
     &                    OCEAN(ng) % vbar,                             &
     &                    OCEAN(ng) % zeta,                             &
     &                    OCEAN(ng) % tl_ubar,                          &
     &                    OCEAN(ng) % tl_vbar,                          &
     &                    OCEAN(ng) % tl_zeta)

      RETURN
      END SUBROUTINE rp_u2dbc
!
!***********************************************************************
      SUBROUTINE rp_u2dbc_tile (ng, tile,                               &
     &                          LBi, UBi, LBj, UBj,                     &
     &                          IminS, ImaxS, JminS, JmaxS,             &
     &                          krhs, kstp, kout,                       &
     &                          ubar, vbar, zeta,                       &
     &                          tl_ubar, tl_vbar, tl_zeta)
!***********************************************************************
!
      USE mod_param
      USE mod_boundary
      USE mod_clima
      USE mod_forces
      USE mod_grid
      USE mod_ncparam
      USE mod_scalars
!
!  Imported variable declarations.
!
      integer, intent(in) :: ng, tile
      integer, intent(in) :: LBi, UBi, LBj, UBj
      integer, intent(in) :: IminS, ImaxS, JminS, JmaxS
      integer, intent(in) :: krhs, kstp, kout
!
# ifdef ASSUMED_SHAPE
      real(r8), intent(in) :: ubar(LBi:,LBj:,:)
      real(r8), intent(in) :: vbar(LBi:,LBj:,:)
      real(r8), intent(in) :: zeta(LBi:,LBj:,:)
      real(r8), intent(in) :: tl_vbar(LBi:,LBj:,:)
      real(r8), intent(in) :: tl_zeta(LBi:,LBj:,:)

      real(r8), intent(inout) :: tl_ubar(LBi:,LBj:,:)
# else
      real(r8), intent(in) :: ubar(LBi:UBi,LBj:UBj,3)
      real(r8), intent(in) :: vbar(LBi:UBi,LBj:UBj,3)
      real(r8), intent(in) :: zeta(LBi:UBi,LBj:UBj,3)
      real(r8), intent(in) :: tl_vbar(LBi:UBi,LBj:UBj,3)
      real(r8), intent(in) :: tl_zeta(LBi:UBi,LBj:UBj,3)

      real(r8), intent(inout) :: tl_ubar(LBi:UBi,LBj:UBj,3)
# endif
!
!  Local variable declarations.
!
      integer :: Imin, Imax
      integer :: i, j, know

      real(r8) :: Ce, Cx, Zx
      real(r8) :: bry_pgr, bry_cor, bry_str
      real(r8) :: cff, cff1, cff2, cff3, dt2d
      real(r8) :: obc_in, obc_out, tau
# if defined ATM_PRESS && defined PRESS_COMPENSATE
      real(r8) :: OneAtm, fac
# endif

      real(r8) :: tl_Ce, tl_Cx, tl_Zx
      real(r8) :: tl_bry_pgr, tl_bry_cor, tl_bry_str, tl_bry_val
      real(r8) :: tl_cff, tl_cff1, tl_cff2, tl_cff3

      real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_grad

# include "set_bounds.h"
!
!-----------------------------------------------------------------------
!  Set time-indices
!-----------------------------------------------------------------------
!
      IF (FIRST_2D_STEP) THEN
        know=krhs
        dt2d=dtfast(ng)
      ELSE IF (PREDICTOR_2D_STEP(ng)) THEN
        know=krhs
        dt2d=2.0_r8*dtfast(ng)
      ELSE
        know=kstp
        dt2d=dtfast(ng)
      END IF
# if defined ATM_PRESS && defined PRESS_COMPENSATE
      OneAtm=1013.25_r8                  ! 1 atm = 1013.25 mb
      fac=100.0_r8/(g*rho0)
# endif
!
!-----------------------------------------------------------------------
!  Lateral boundary conditions at the western edge.
!-----------------------------------------------------------------------
!
      IF (DOMAIN(ng)%Western_Edge(tile)) THEN
!
!  Western edge, implicit upstream radiation condition.
!
        IF (tl_LBC(iwest,isUbar,ng)%radiation) THEN
          IF (iic(ng).ne.0) THEN
            DO j=Jstr,Jend+1
!>            grad(Istr,j)=ubar(Istr,j  ,know)-                         &
!>   &                     ubar(Istr,j-1,know)
!>
              tl_grad(Istr,j)=0.0_r8
            END DO
            DO j=Jstr,Jend
              IF (LBC_apply(ng)%west(j)) THEN
# if defined CELERITY_READ && defined FORWARD_READ
                IF (tl_LBC(iwest,isUbar,ng)%nudging) THEN
                  IF (LnudgeM2CLM(ng)) THEN
                    obc_out=0.5_r8*                                     &
     &                      (CLIMA(ng)%M2nudgcof(Istr-1,j)+             &
     &                       CLIMA(ng)%M2nudgcof(Istr  ,j))
                    obc_in =obcfac(ng)*obc_out
                  ELSE
                    obc_out=M2obc_out(ng,iwest)
                    obc_in =M2obc_in (ng,iwest)
                  END IF
                  IF (BOUNDARY(ng)%ubar_west_Cx(j).lt.0.0_r8) THEN
                    tau=obc_in
                  ELSE
                    tau=obc_out
                  END IF
                  tau=tau*dt2d
                END IF
                Cx=BOUNDARY(ng)%ubar_west_Cx(j)
#  ifdef RADIATION_2D
                Ce=BOUNDARY(ng)%ubar_west_Ce(j)
#  else
                Ce=0.0_r8
#  endif
                cff=BOUNDARY(ng)%ubar_west_C2(j)
# endif
!>              ubar(Istr,j,kout)=(cff*ubar(Istr  ,j,know)+             &
!>   &                             Cx *ubar(Istr+1,j,kout)-             &
!>   &                             MAX(Ce,0.0_r8)*grad(Istr,j  )-       &
!>   &                             MIN(Ce,0.0_r8)*grad(Istr,j+1))/      &
!>   &                            (cff+Cx)
!>
                tl_ubar(Istr,j,kout)=(cff*tl_ubar(Istr  ,j,know)+       &
     &                                Cx *tl_ubar(Istr+1,j,kout)-       &
     &                                MAX(Ce,0.0_r8)*                   &
     &                                   tl_grad(Istr,j  )-             &
     &                                MIN(Ce,0.0_r8)*                   &
     &                                   tl_grad(Istr,j+1))/            &
     &                               (cff+Cx)

                IF (tl_LBC(iwest,isUbar,ng)%nudging) THEN
!>                ubar(Istr,j,kout)=ubar(Istr,j,kout)+                  &
!>   &                              tau*(BOUNDARY(ng)%ubar_west(j)-     &
!>   &                                   ubar(Istr,j,know))             &
!>
                  tl_ubar(Istr,j,kout)=tl_ubar(Istr,j,kout)-            &
     &                                 tau*tl_ubar(Istr,j,know)
                END IF
# ifdef MASKING
!>              ubar(Istr,j,kout)=ubar(Istr,j,kout)*                    &
!>   &                            GRID(ng)%umask(Istr,j)
!>
                tl_ubar(Istr,j,kout)=tl_ubar(Istr,j,kout)*              &
     &                               GRID(ng)%umask(Istr,j)
# endif
              END IF
            END DO
          END IF
!
!  Western edge, Flather boundary condition.
!
        ELSE IF (tl_LBC(iwest,isUbar,ng)%Flather) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%west(j)) THEN
# if defined SSH_TIDES_NOT_YET && !defined UV_TIDES_NOT_YET
              IF (tl_LBC(iwest,isFsur,ng)%acquire) THEN
                bry_pgr=-g*(zeta(Istr,j,know)-                          &
     &                      BOUNDARY(ng)%zeta_west(j))*                 &
     &                  0.5_r8*GRID(ng)%pm(Istr,j)
                tl_bry_pgr=-g*(tl_zeta(Istr,j,know)-                    &
     &                         BOUNDARY(ng)%tl_zeta_west(j))*           &
     &                     0.5_r8*GRID(ng)%pm(Istr,j)
              ELSE
                bry_pgr=-g*(zeta(Istr  ,j,know)-                        &
     &                      zeta(Istr-1,j,know))*                       &
     &                  0.5_r8*(GRID(ng)%pm(Istr-1,j)+                  &
     &                          GRID(ng)%pm(Istr  ,j))
                tl_bry_pgr=-g*(tl_zeta(Istr  ,j,know)-                  &
     &                         tl_zeta(Istr-1,j,know))*                 &
     &                     0.5_r8*(GRID(ng)%pm(Istr-1,j)+               &
     &                             GRID(ng)%pm(Istr  ,j))
              END IF
#  ifdef UV_COR
              bry_cor=0.125_r8*(vbar(Istr-1,j  ,know)+                  &
     &                          vbar(Istr-1,j+1,know)+                  &
     &                          vbar(Istr  ,j  ,know)+                  &
     &                          vbar(Istr  ,j+1,know))*                 &
     &                         (GRID(ng)%f(Istr-1,j)+                   &
     &                          GRID(ng)%f(Istr  ,j))
              tl_bry_cor=0.125_r8*(tl_vbar(Istr-1,j  ,know)+            &
     &                             tl_vbar(Istr-1,j+1,know)+            &
     &                             tl_vbar(Istr  ,j  ,know)+            &
     &                             tl_vbar(Istr  ,j+1,know))*           &
     &                            (GRID(ng)%f(Istr-1,j)+                &
     &                             GRID(ng)%f(Istr  ,j))
#  else
              bry_cor=0.0_r8
              tl_bry_cor=0.0_r8
#  endif
              cff1=1.0_r8/(0.5_r8*(GRID(ng)%h(Istr-1,j)+                &
     &                             zeta(Istr-1,j,know)+                 &
     &                             GRID(ng)%h(Istr  ,j)+                &
     &                             zeta(Istr  ,j,know)))
              tl_cff1=-cff1*cff1*0.5_r8*(GRID(ng)%tl_h(Istr-1,j)+       &
     &                                   tl_zeta(Istr-1,j,know)+        &
     &                                   GRID(ng)%tl_h(Istr  ,j)+       &
     &                                   tl_zeta(Istr  ,j,know))+       &
#  ifdef TL_IOMS
     &                2.0_r8*cff1
#  endif
              bry_str=cff1*(FORCES(ng)%sustr(Istr,j)-                   &
     &                      FORCES(ng)%bustr(Istr,j))
              tl_bry_str=tl_cff1*(FORCES(ng)%sustr(Istr,j)-             &
     &                            FORCES(ng)%bustr(Istr,j))+            &
     &                   cff1*(FORCES(ng)%tl_sustr(Istr,j)-             &
     &                         FORCES(ng)%tl_bustr(Istr,j))-            &
#  ifdef TL_IOMS
     &                   bry_str
#  endif
              Cx=1.0_r8/SQRT(g*0.5_r8*(GRID(ng)%h(Istr-1,j)+            &
     &                                 zeta(Istr-1,j,know)+             &
     &                                 GRID(ng)%h(Istr  ,j)+            &
     &                                 zeta(Istr  ,j,know)))
              tl_Cx=-Cx*Cx*Cx*0.25_r8*g*(GRID(ng)%tl_h(Istr-1,j)+       &
     &                                   tl_zeta(Istr-1,j,know)+        &
     &                                   GRID(ng)%tl_h(Istr  ,j)+       &
     &                                   tl_zeta(Istr  ,j,know))+       &
#  ifdef TL_IOMS
     &              g*0.5_r8*Cx*Cx*Cx*(GRID(ng)%h(Istr-1,j)+            &
     &                                 zeta(Istr-1,j,know)+             &
     &                                 GRID(ng)%h(Istr  ,j)+            &
     &                                 zeta(Istr  ,j,know))
#  endif
              cff2=GRID(ng)%om_u(Istr,j)*Cx
              tl_cff2=GRID(ng)%om_u(Istr,j)*tl_Cx
!>            bry_val=ubar(Istr+1,j,know)+                              &
!>   &                cff2*(bry_pgr+                                    &
!>   &                      bry_cor+                                    &
!>   &                      bry_str)
!>
              tl_bry_val=tl_ubar(Istr+1,j,know)+                        &
     &                   tl_cff2*(bry_pgr+                              &
     &                            bry_cor+                              &
     &                            bry_str)+                             &
     &                   cff2*(tl_bry_pgr+                              &
     &                         tl_bry_cor+                              &
     &                         tl_bry_str)-                             &
#  ifdef TL_IOMS
     &                   cff2*(bry_pgr+bry_cor+bry_str)
#  endif
# else
!>            bry_val=BOUNDARY(ng)%ubar_west(j)
!>
              tl_bry_val=BOUNDARY(ng)%tl_ubar_west(j)
# endif
              cff=1.0_r8/(0.5_r8*(GRID(ng)%h(Istr-1,j)+                 &
     &                            zeta(Istr-1,j,know)+                  &
     &                            GRID(ng)%h(Istr  ,j)+                 &
     &                            zeta(Istr  ,j,know)))
              tl_cff=-cff*cff*(0.5_r8*(GRID(ng)%tl_h(Istr-1,j)+         &
     &                                 tl_zeta(Istr-1,j,know)+          &
     &                                 GRID(ng)%tl_h(Istr  ,j)+         &
     &                                 tl_zeta(Istr ,j,know)))+         &
# ifdef TL_IOMS
     &               2.0_r8*cff
# endif
              Cx=SQRT(g*cff)
              tl_Cx=0.5_r8*g*tl_cff/Cx+                                 &
# ifdef TL_IOMS
     &              0.5_r8*Cx
# endif
# if defined ATM_PRESS && defined PRESS_COMPENSATE
!>            ubar(Istr,j,kout)=bry_val-                                &
!>   &                          Cx*(0.5_r8*                             &
!>   &                              (zeta(Istr-1,j,know)+               &
!>   &                               zeta(Istr  ,j,know)+               &
!>   &                               fac*(FORCES(ng)%Pair(Istr-1,j)+    &
!>   &                                    FORCES(ng)%Pair(Istr  ,j)-    &
!>   &                                    2.0_r8*OneAtm))-              &
!>   &                              BOUNDARY(ng)%zeta_west(j))
!>
              tl_ubar(Istr,j,kout)=tl_bry_val-                          &
     &                             tl_Cx*                               &
     &                             (0.5_r8*                             &
     &                              (zeta(Istr-1,j,know)+               &
     &                               zeta(Istr  ,j,know)+               &
     &                               fac*(FORCES(ng)%Pair(Istr-1,j)+    &
     &                                    FORCES(ng)%Pair(Istr  ,j)-    &
     &                                    2.0_r8*OneAtm))-              &
     &                              BOUNDARY(ng)%zeta_west(j))-         &
     &                             Cx*                                  &
     &                             (0.5_r8*                             &
     &                              (tl_zeta(Istr-1,j,know)+            &
     &                               tl_zeta(Istr  ,j,know)))+          &
#  ifdef TL_IOMS
     &                             Cx*                                  &
     &                             (0.5_r8*                             &
     &                              (zeta(Istr-1,j,know)+               &
     &                               zeta(Istr  ,j,know)+               &
     &                               fac*(FORCES(ng)%Pair(Istr-1,j)+    &
     &                                    FORCES(ng)%Pair(Istr  ,j)-    &
     &                                    2.0_r8*OneAtm))-              &
     &                              BOUNDARY(ng)%zeta_west(j))
#  endif
# else
!>            ubar(Istr,j,kout)=bry_val-                                &
!>   &                          Cx*(0.5_r8*(zeta(Istr-1,j,know)+        &
!>   &                                      zeta(Istr  ,j,know))-       &
!>   &                              BOUNDARY(ng)%zeta_west(j))
!>
              tl_ubar(Istr,j,kout)=tl_bry_val-                          &
     &                             tl_Cx*                               &
     &                             (0.5_r8*(zeta(Istr-1,j,know)+        &
     &                                      zeta(Istr  ,j,know))-       &
     &                              BOUNDARY(ng)%zeta_west(j))-         &
     &                             Cx*                                  &
     &                             (0.5_r8*(tl_zeta(Istr-1,j,know)+     &
     &                                      tl_zeta(Istr  ,j,know))-    &
     &                              BOUNDARY(ng)%tl_zeta_west(j))+      &
#  ifdef TL_IOMS
     &                             Cx*                                  &
     &                             (0.5_r8*(zeta(Istr-1,j,know)+        &
     &                                      zeta(Istr  ,j,know))-       &
     &                              BOUNDARY(ng)%zeta_west(j))
#  endif
# endif
# ifdef MASKING
!>            ubar(Istr,j,kout)=ubar(Istr,j,kout)*                      &
!>   &                          GRID(ng)%umask(Istr,j)
!>
              tl_ubar(Istr,j,kout)=tl_ubar(Istr,j,kout)*                &
     &                             GRID(ng)%umask(Istr,j)
# endif
            END IF
          END DO
!
!  Western edge, Shchepetkin boundary condition (Maison et al., 2010).
!
        ELSE IF (tl_LBC(iwest,isUbar,ng)%Shchepetkin) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%west(j)) THEN
# if defined SSH_TIDES_NOT_YET && !defined UV_TIDES_NOT_YET
              IF (tl_LBC(iwest,isFsur,ng)%acquire) THEN
                bry_pgr=-g*(zeta(Istr,j,know)-                          &
     &                      BOUNDARY(ng)%zeta_west(j))*                 &
     &                  0.5_r8*GRID(ng)%pm(Istr,j)
                tl_bry_pgr=-g*(tl_zeta(Istr,j,know)-                    &
     &                         BOUNDARY(ng)%tl_zeta_west(j))*           &
     &                     0.5_r8*GRID(ng)%pm(Istr,j)
              ELSE
                bry_pgr=-g*(zeta(Istr  ,j,know)-                        &
     &                      zeta(Istr-1,j,know))*                       &
     &                  0.5_r8*(GRID(ng)%pm(Istr-1,j)+                  &
     &                          GRID(ng)%pm(Istr  ,j))
                tl_bry_pgr=-g*(tl_zeta(Istr  ,j,know)-                  &
     &                         tl_zeta(Istr-1,j,know))*                 &
     &                     0.5_r8*(GRID(ng)%pm(Istr-1,j)+               &
     &                             GRID(ng)%pm(Istr  ,j))
              END IF
#  ifdef UV_COR
              bry_cor=0.125_r8*(vbar(Istr-1,j  ,know)+                  &
     &                          vbar(Istr-1,j+1,know)+                  &
     &                          vbar(Istr  ,j  ,know)+                  &
     &                          vbar(Istr  ,j+1,know))*                 &
     &                         (GRID(ng)%f(Istr-1,j)+                   &
     &                          GRID(ng)%f(Istr  ,j))
              tl_bry_cor=0.125_r8*(tl_vbar(Istr-1,j  ,know)+            &
     &                             tl_vbar(Istr-1,j+1,know)+            &
     &                             tl_vbar(Istr  ,j  ,know)+            &
     &                             tl_vbar(Istr  ,j+1,know))*           &
     &                            (GRID(ng)%f(Istr-1,j)+                &
     &                             GRID(ng)%f(Istr  ,j))
#  else
              bry_cor=0.0_r8
              tl_bry_cor=0.0_r8
#  endif
              cff1=1.0_r8/(0.5_r8*(GRID(ng)%h(Istr-1,j)+                &
     &                             zeta(Istr-1,j,know)+                 &
     &                             GRID(ng)%h(Istr  ,j)+                &
     &                             zeta(Istr  ,j,know)))
              tl_cff1=-cff1*cff1*0.5_r8*(GRID(ng)%tl_h(Istr-1,j)+       &
     &                                   tl_zeta(Istr-1,j,know)+        &
     &                                   GRID(ng)%tl_h(Istr  ,j)+       &
     &                                   tl_zeta(Istr  ,j,know))+       &
#  ifdef TL_IOMS
     &                2.0_r8*cff1
#  endif
              bry_str=cff1*(FORCES(ng)%sustr(Istr,j)-                   &
     &                      FORCES(ng)%bustr(Istr,j))
              tl_bry_str=tl_cff1*(FORCES(ng)%sustr(Istr,j)-             &
     &                            FORCES(ng)%bustr(Istr,j))+            &
     &                   cff1*(FORCES(ng)%tl_sustr(Istr,j)-             &
     &                         FORCES(ng)%tl_bustr(Istr,j))-            &
#  ifdef TL_IOMS
     &                   bry_str
#  endif
              Cx=1.0_r8/SQRT(g*0.5_r8*(GRID(ng)%h(Istr-1,j)+            &
     &                                 zeta(Istr-1,j,know)+             &
     &                                 GRID(ng)%h(Istr  ,j)+            &
     &                                 zeta(Istr  ,j,know)))
              tl_Cx=-Cx*Cx*Cx*0.25_r8*g*(GRID(ng)%tl_h(Istr-1,j)+       &
     &                                   tl_zeta(Istr-1,j,know)+        &
     &                                   GRID(ng)%tl_h(Istr  ,j)+       &
     &                                   tl_zeta(Istr  ,j,know))+       &
#  ifdef TL_IOMS
     &              g*0.5_r8*Cx*Cx*Cx*(GRID(ng)%h(Istr-1,j)+            &
     &                                 zeta(Istr-1,j,know)+             &
     &                                 GRID(ng)%h(Istr  ,j)+            &
     &                                 zeta(Istr  ,j,know))
#  endif
              cff2=GRID(ng)%om_u(Istr,j)*Cx
              tl_cff2=GRID(ng)%om_u(Istr,j)*tl_Cx
!>            bry_val=ubar(Istr+1,j,know)+                              &
!>   &                cff2*(bry_pgr+                                    &
!>   &                      bry_cor+                                    &
!>   &                      bry_str)
!>
              tl_bry_val=tl_ubar(Istr+1,j,know)+                        &
     &                   tl_cff2*(bry_pgr+                              &
     &                            bry_cor+                              &
     &                            bry_str)+                             &
     &                   cff2*(tl_bry_pgr+                              &
     &                         tl_bry_cor+                              &
     &                         tl_bry_str)-                             &
#  ifdef TL_IOMS
     &                   cff2*(bry_pgr+bry_cor+bry_str)
#  endif
# else
!>            bry_val=BOUNDARY(ng)%ubar_west(j)
!>
              tl_bry_val=BOUNDARY(ng)%tl_ubar_west(j)
# endif
              cff=0.5_r8*(GRID(ng)%h(Istr-1,j)+                         &
     &                    GRID(ng)%h(Istr  ,j))
              tl_cff=0.5_r8*(GRID(ng)%tl_h(Istr-1,j)+                   &
     &                       GRID(ng)%tl_h(Istr  ,j))
              cff1=SQRT(g/cff)
              tl_cff1=-0.5_r8*cff1*tl_cff/cff+                          &
# ifdef TL_IOMS
     &                0.5_r8*cff1
# endif
              Cx=dt2d*cff1*cff*0.5_r8*(GRID(ng)%pm(Istr-1,j)+           &
     &                                 GRID(ng)%pm(Istr  ,j))
              tl_Cx=dt2d*0.5_r8*(GRID(ng)%pm(Istr-1,j)+                 &
     &                           GRID(ng)%pm(Istr  ,j))*                &
     &              (cff1*tl_cff+                                       &
     &               tl_cff1*cff)-                                      &
# ifdef TL_IOMS
     &              Cx
# endif
              Zx=(0.5_r8+Cx)*zeta(Istr  ,j,know)+                       &
     &           (0.5_r8-Cx)*zeta(Istr-1,j,know)
              tl_Zx=(0.5_r8+Cx)*tl_zeta(Istr  ,j,know)+                 &
     &              (0.5_r8-Cx)*tl_zeta(Istr-1,j,know)+                 &
     &              tl_Cx*(zeta(Istr  ,j,know)-                         &
     &                     zeta(Istr-1,j,know))-                        &
# ifdef TL_IOMS
     &              Zx                                      ! HGA check
# endif
              IF (Cx.gt.Co) THEN
                cff2=(1.0_r8-Co/Cx)**2
                tl_cff2=2.0_r8*cff2*Co*tl_Cx/(Cx*Cx)-                   &
# ifdef TL_IOMS
     &                  cff2                                ! HGA check
# endif
                cff3=zeta(Istr,j,kout)+                                 &
     &               Cx*zeta(Istr-1,j,know)-                            &
     &               (1.0_r8+Cx)*zeta(Istr,j,know)
                tl_cff3=tl_zeta(Istr,j,kout)+                           &
     &                  Cx*tl_zeta(Istr-1,j,know)+                      &
     &                  tl_Cx*(zeta(Istr-1,j,know)+                     &
     &                         zeta(Istr  ,j,know))-                    &
     &                  (1.0_r8+Cx)*tl_zeta(Istr,j,know)-               &
# ifdef TL_IOMS
     &                  Cx*zeta(Istr-1,j,know)+                         &
     &                  (1.0_r8+Cx)*zeta(Istr,j,know)       ! HGA check
# endif
                Zx=Zx+cff2*cff3
                tl_Zx=tl_Zx+cff2*tl_cff3+                               &
     &                      tl_cff2*cff3-                               &
# ifdef TL_IOMS
     &                      cff2*cff3                       ! HGA check
# endif
              END IF
!>            ubar(Istr,j,kout)=0.5_r8*                                 &
!>   &                          ((1.0_r8-Cx)*ubar(Istr,j,know)+         &
!>   &                           Cx*ubar(Istr+1,j,know)+                &
!>   &                           bry_val-                               &
!>   &                           cff1*(Zx-BOUNDARY(ng)%zeta_west(j)))
!>
              tl_ubar(Istr,j,kout)=0.5_r8*                              &
     &                             ((1.0_r8-Cx)*                        &
     &                              tl_ubar(Istr,j,know)-               &
     &                              tl_Cx*(ubar(Istr  ,j,know)-         &
     &                                     ubar(Istr+1,j,know))+        &
     &                              Cx*tl_ubar(Istr+1,j,know)+          &
     &                              tl_bry_val-                         &
     &                              tl_cff1*                            &
     &                              (Zx-BOUNDARY(ng)%zeta_west(j))-     &
     &                              cff1*tl_Zx)-                        &
# ifdef TL_IOMS
     &                             0.5_r8*                              &
     &                             ((1.0_r8-Cx)*ubar(Istr,j,know)+      &
     &                              Cx*ubar(Istr+1,j,know)+             &
     &                              cff1*                               &
     &                              (Zx-BOUNDARY(ng)%zeta_west(j)))
!!                                                          ! HGA check
# endif
# ifdef ADJUST_BOUNDARY
              IF (Lobc(iwest,isUbar,ng)) THEN
                tl_ubar(Istr,j,kout)=tl_ubar(Istr,j,kout)+              &
     &                               0.5_r8*cff1*                       &
     &                               BOUNDARY(ng)%tl_zeta_west(j)
              END IF
# endif
# ifdef MASKING
!>            ubar(Istr,j,kout)=ubar(Istr,j,kout)*                      &
!>   &                          GRID(ng)%umask(Istr,j)
!>
              tl_ubar(Istr,j,kout)=tl_ubar(Istr,j,kout)*                &
     &                             GRID(ng)%umask(Istr,j)
# endif
            END IF
          END DO
!
!  Western edge, clamped boundary condition.
!
        ELSE IF (tl_LBC(iwest,isUbar,ng)%clamped) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%west(j)) THEN
!>            ubar(Istr,j,kout)=BOUNDARY(ng)%ubar_west(j)
!>
              tl_ubar(Istr,j,kout)=BOUNDARY(ng)%tl_ubar_west(j)
# ifdef MASKING
!>            ubar(Istr,j,kout)=ubar(Istr,j,kout)*                      &
!>   &                          GRID(ng)%umask(Istr,j)
!>
              tl_ubar(Istr,j,kout)=tl_ubar(Istr,j,kout)*                &
     &                             GRID(ng)%umask(Istr,j)
# endif
            END IF
          END DO
!
!  Western edge, gradient boundary condition.
!
        ELSE IF (tl_LBC(iwest,isUbar,ng)%gradient) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%west(j)) THEN
!>            ubar(Istr,j,kout)=ubar(Istr+1,j,kout)
!>
              tl_ubar(Istr,j,kout)=tl_ubar(Istr+1,j,kout)
# ifdef MASKING
!>            ubar(Istr,j,kout)=ubar(Istr,j,kout)*                      &
!>   &                          GRID(ng)%umask(Istr,j)
!>
              tl_ubar(Istr,j,kout)=tl_ubar(Istr,j,kout)*                &
     &                             GRID(ng)%umask(Istr,j)
# endif
            END IF
          END DO
!
!  Western edge, reduced-physics boundary condition.
!
        ELSE IF (tl_LBC(iwest,isUbar,ng)%reduced) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%west(j)) THEN
              IF (tl_LBC(iwest,isFsur,ng)%acquire) THEN
!>              bry_pgr=-g*(zeta(Istr,j,know)-                          &
!>   &                      BOUNDARY(ng)%zeta_west(j))*                 &
!>   &                  0.5_r8*GRID(ng)%pm(Istr,j)
!>
                tl_bry_pgr=-g*(tl_zeta(Istr,j,know)-                    &
     &                         BOUNDARY(ng)%tl_zeta_west(j))*           &
     &                     0.5_r8*GRID(ng)%pm(Istr,j)
              ELSE
!>              bry_pgr=-g*(zeta(Istr,j,know)-                          &
!>   &                      zeta(Istr-1,j,know))*                       &
!>   &                  0.5_r8*(GRID(ng)%pm(Istr-1,j)+                  &
!>   &                          GRID(ng)%pm(Istr  ,j))
!>
                tl_bry_pgr=-g*(tl_zeta(Istr  ,j,know)-                  &
     &                         tl_zeta(Istr-1,j,know))*                 &
     &                     0.5_r8*(GRID(ng)%pm(Istr-1,j)+               &
     &                             GRID(ng)%pm(Istr  ,j))
              END IF
# ifdef UV_COR
!>            bry_cor=0.125_r8*(vbar(Istr-1,j  ,know)+                  &
!>   &                          vbar(Istr-1,j+1,know)+                  &
!>   &                          vbar(Istr  ,j  ,know)+                  &
!>   &                          vbar(Istr  ,j+1,know))*                 &
!>   &                         (GRID(ng)%f(Istr-1,j)+                   &
!>   &                          GRID(ng)%f(Istr  ,j))
!>
              tl_bry_cor=0.125_r8*(tl_vbar(Istr-1,j  ,know)+            &
     &                             tl_vbar(Istr-1,j+1,know)+            &
     &                             tl_vbar(Istr  ,j  ,know)+            &
     &                             tl_vbar(Istr  ,j+1,know))*           &
     &                            (GRID(ng)%f(Istr-1,j)+                &
     &                             GRID(ng)%f(Istr  ,j))
# else
!>            bry_cor=0.0_r8
!>
              tl_bry_cor=0.0_r8
# endif
              cff=1.0_r8/(0.5_r8*(GRID(ng)%h(Istr-1,j)+                 &
     &                            zeta(Istr-1,j,know)+                  &
     &                            GRID(ng)%h(Istr  ,j)+                 &
     &                            zeta(Istr  ,j,know)))
              tl_cff=-cff*cff*0.5_r8*(GRID(ng)%tl_h(Istr-1,j)+          &
     &                                tl_zeta(Istr-1,j,know)+           &
     &                                GRID(ng)%tl_h(Istr  ,j)+          &
     &                                tl_zeta(Istr  ,j,know))+          &
# ifdef TL_IOMS
     &               2.0_r8*cff
# endif
!>            bry_str=cff*(FORCES(ng)%sustr(Istr,j)-                    &
!>   &                     FORCES(ng)%bustr(Istr,j))
!>
              tl_bry_str=tl_cff*(FORCES(ng)%sustr(Istr,j)-              &
     &                           FORCES(ng)%bustr(Istr,j))+             &
     &                   cff*(FORCES(ng)%tl_sustr(Istr,j)-              &
     &                        FORCES(ng)%tl_bustr(Istr,j))-             &
# ifdef TL_IOMS
     &                   cff*(FORCES(ng)%sustr(Istr,j)-                 &
     &                        FORCES(ng)%bustr(Istr,j))
# endif
!>            ubar(Istr,j,kout)=ubar(Istr,j,know)+                      &
!>   &                          dt2d*(bry_pgr+                          &
!>   &                                bry_cor+                          &
!>   &                                bry_str)
!>
              tl_ubar(Istr,j,kout)=tl_ubar(Istr,j,know)+                &
     &                             dt2d*(tl_bry_pgr+                    &
     &                                   tl_bry_cor+                    &
     &                                   tl_bry_str)
# ifdef MASKING
!>            ubar(Istr,j,kout)=ubar(Istr,j,kout)*                      &
!>   &                          GRID(ng)%umask(Istr,j)
!>
              tl_ubar(Istr,j,kout)=tl_ubar(Istr,j,kout)*                &
     &                             GRID(ng)%umask(Istr,j)
# endif
            END IF
          END DO
!
!  Western edge, closed boundary condition.
!
        ELSE IF (tl_LBC(iwest,isUbar,ng)%closed) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%west(j)) THEN
!>            ubar(Istr,j,kout)=0.0_r8
!>
              tl_ubar(Istr,j,kout)=0.0_r8
            END IF
          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 (tl_LBC(ieast,isUbar,ng)%radiation) THEN
          IF (iic(ng).ne.0) THEN
            DO j=Jstr,Jend+1
!>            grad(Iend+1,j)=ubar(Iend+1,j  ,know)-                     &
!>   &                       ubar(Iend+1,j-1,know)
!>
              tl_grad(Iend+1,j)=0.0_r8
            END DO
            DO j=Jstr,Jend
              IF (LBC_apply(ng)%east(j)) THEN
# if defined CELERITY_READ && defined FORWARD_READ
                IF (tl_LBC(ieast,isUbar,ng)%nudging) THEN
                  IF (LnudgeM2CLM(ng)) THEN
                    obc_out=0.5_r8*                                     &
     &                      (CLIMA(ng)%M2nudgcof(Iend  ,j)+             &
     &                       CLIMA(ng)%M2nudgcof(Iend+1,j))
                    obc_in =obcfac(ng)*obc_out
                  ELSE
                    obc_out=M2obc_out(ng,ieast)
                    obc_in =M2obc_in (ng,ieast)
                  END IF
                  IF (BOUNDARY(ng)%ubar_east_Cx(j).lt.0.0_r8) THEN
                    tau=obc_in
                  ELSE
                    tau=obc_out
                  END IF
                  tau=tau*dt2d
                END IF
                Cx=BOUNDARY(ng)%ubar_east_Cx(j)
#  ifdef RADIATION_2D
                Ce=BOUNDARY(ng)%ubar_east_Ce(j)
#  else
                Ce=0.0_r8
#  endif
                cff=BOUNDARY(ng)%ubar_east_C2(j)
# endif
!>              ubar(Iend+1,j,kout)=(cff*ubar(Iend+1,j,know)+           &
!>   &                               Cx *ubar(Iend  ,j,kout)-           &
!>   &                               MAX(Ce,0.0_r8)*grad(Iend+1,j  )-   &
!>   &                               MIN(Ce,0.0_r8)*grad(Iend+1,j+1))/  &
!>   &                              (cff+Cx)
!>
                tl_ubar(Iend+1,j,kout)=(cff*tl_ubar(Iend+1,j,know)+     &
     &                                  Cx *tl_ubar(Iend  ,j,kout)-     &
     &                                  MAX(Ce,0.0_r8)*                 &
     &                                     tl_grad(Iend+1,j  )-         &
     &                                  MIN(Ce,0.0_r8)*                 &
     &                                     tl_grad(Iend+1,j+1))/        &
     &                                 (cff+Cx)

                IF (tl_LBC(ieast,isUbar,ng)%nudging) THEN
!>                ubar(Iend+1,j,kout)=ubar(Iend+1,j,kout)+              &
!>   &                                tau*(BOUNDARY(ng)%ubar_east(j)-   &
!>   &                                     ubar(Iend+1,j,know))
!>
                  tl_ubar(Iend+1,j,kout)=tl_ubar(Iend+1,j,kout)-        &
     &                                   tau*tl_ubar(Iend+1,j,know)
                END IF
# ifdef MASKING
!>              ubar(Iend+1,j,kout)=ubar(Iend+1,j,kout)*                &
!>   &                              GRID(ng)%umask(Iend+1,j)
!>
                tl_ubar(Iend+1,j,kout)=tl_ubar(Iend+1,j,kout)*          &
     &                                 GRID(ng)%umask(Iend+1,j)
# endif
              END IF
            END DO
          END IF
!
!  Eastern edge, Flather boundary condition.
!
        ELSE IF (tl_LBC(ieast,isUbar,ng)%Flather) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%east(j)) THEN
# if defined SSH_TIDES_NOT_YET && !defined UV_TIDES_NOT_YET
              IF (tl_LBC(ieast,isFsur,ng)%acquire) THEN
                bry_pgr=-g*(BOUNDARY(ng)%zeta_east(j)-                  &
     &                      zeta(Iend,j,know))*                         &
     &                  0.5_r8*GRID(ng)%pm(Iend,j)
                tl_bry_pgr=-g*(BOUNDARY(ng)%tl_zeta_east(j)-            &
     &                         tl_zeta(Iend,j,know))*                   &
     &                     0.5_r8*GRID(ng)%pm(Iend,j)
              ELSE
                bry_pgr=-g*(zeta(Iend+1,j,know)-                        &
     &                      zeta(Iend  ,j,know))*                       &
     &                  0.5_r8*(GRID(ng)%pm(Iend  ,j)+                  &
     &                          GRID(ng)%pm(Iend+1,j))
                tl_bry_pgr=-g*(tl_zeta(Iend+1,j,know)-                  &
     &                         tl_zeta(Iend  ,j,know))*                 &
     &                     0.5_r8*(GRID(ng)%pm(Iend  ,j)+               &
     &                             GRID(ng)%pm(Iend+1,j))
              END IF
#  ifdef UV_COR
              bry_cor=0.125_r8*(vbar(Iend  ,j  ,know)+                  &
     &                          vbar(Iend  ,j+1,know)+                  &
     &                          vbar(Iend+1,j  ,know)+                  &
     &                          vbar(Iend+1,j+1,know))*                 &
     &                         (GRID(ng)%f(Iend  ,j)+                   &
     &                          GRID(ng)%f(Iend+1,j))
              tl_bry_cor=0.125_r8*(tl_vbar(Iend  ,j  ,know)+            &
     &                             tl_vbar(Iend  ,j+1,know)+            &
     &                             tl_vbar(Iend+1,j  ,know)+            &
     &                             tl_vbar(Iend+1,j+1,know))*           &
     &                            (GRID(ng)%f(Iend  ,j)+                &
     &                             GRID(ng)%f(Iend+1,j))
#  else
              bry_cor=0.0_r8
              tl_bry_cor=0.0_r8
#  endif
              cff1=1.0_r8/(0.5_r8*(GRID(ng)%h(Iend  ,j)+                &
     &                             zeta(Iend  ,j,know)+                 &
     &                             GRID(ng)%h(Iend+1,j)+                &
     &                             zeta(Iend+1,j,know)))
              tl_cff1=-cff1*cff1*0.5_r8*(GRID(ng)%tl_h(Iend  ,j)+       &
     &                                   tl_zeta(Iend  ,j,know)+        &
     &                                   GRID(ng)%tl_h(Iend+1,j)+       &
     &                                   tl_zeta(Iend+1,j,know))+       &
#  ifdef TL_IOMS
     &                2.0_r8*cff1
#  endif
              bry_str=cff1*(FORCES(ng)%sustr(Iend+1,j)-                 &
     &                      FORCES(ng)%bustr(Iend+1,j))
              tl_bry_str=tl_cff1*(FORCES(ng)%sustr(Iend+1,j)-           &
     &                            FORCES(ng)%bustr(Iend+1,j))+          &
     &                   cff1*(FORCES(ng)%tl_sustr(Iend+1,j)-           &
     &                         FORCES(ng)%tl_bustr(Iend+1,j))-          &
#  ifdef TL_IOMS
     &                   bry_str
#  endif
              Cx=1.0_r8/SQRT(g*0.5_r8*(GRID(ng)%h(Iend+1,j)+            &
     &                                 zeta(Iend+1,j,know)+             &
     &                                 GRID(ng)%h(Iend  ,j)+            &
     &                                 zeta(Iend  ,j,know)))
              tl_Cx=-Cx*Cx*Cx*0.25_r8*g*(GRID(ng)%tl_h(Iend+1,j)+       &
     &                                   tl_zeta(Iend+1,j,know)+        &
     &                                   GRID(ng)%tl_h(Iend  ,j)+       &
     &                                   tl_zeta(Iend  ,j,know))+       &
#  ifdef TL_IOMS
     &              g*0.5_r8*Cx*Cx*Cx*(GRID(ng)%h(Iend+1,j)+            &
     &                                 zeta(Iend+1,j,know)+             &
     &                                 GRID(ng)%h(Iend  ,j)+            &
     &                                 zeta(Iend  ,j,know))
#  endif
              cff2=GRID(ng)%om_u(Iend+1,j)*Cx
              tl_cff2=GRID(ng)%om_u(Iend+1,j)*tl_Cx
!>            bry_val=ubar(Iend,j,know)+                                &
!>   &                cff2*(bry_pgr+                                    &
!>   &                      bry_cor+                                    &
!>   &                      bry_str)
!>
              tl_bry_val=tl_ubar(Iend,j,know)+                          &
     &                   tl_cff2*(bry_pgr+                              &
     &                            bry_cor+                              &
     &                            bry_str)+                             &
     &                   cff2*(tl_bry_pgr+                              &
     &                         tl_bry_cor+                              &
     &                         tl_bry_str)-
#  ifdef TL_IOMS
     &                   cff2*(bry_pgr+bry_cor+bry_str)
#  endif
# else
!>            bry_val=BOUNDARY(ng)%ubar_east(j)
!>
              tl_bry_val=BOUNDARY(ng)%tl_ubar_east(j)
# endif
              cff=1.0_r8/(0.5_r8*(GRID(ng)%h(Iend  ,j)+                 &
     &                            zeta(Iend  ,j,know)+                  &
     &                            GRID(ng)%h(Iend+1,j)+                 &
     &                            zeta(Iend+1,j,know)))
              tl_cff=-cff*cff*(0.5_r8*(GRID(ng)%tl_h(Iend  ,j)+         &
     &                                 tl_zeta(Iend  ,j,know)+          &
     &                                 GRID(ng)%tl_h(Iend+1,j)+         &
     &                                 tl_zeta(Iend+1,j,know)))+        &
# ifdef TL_IOMS
     &               2.0_r8*cff
# endif
              Cx=SQRT(g*cff)
              tl_Cx=0.5_r8*g*tl_cff/Cx+                                 &
# ifdef TL_IOMS
     &              0.5_r8*Cx
# endif
# if defined ATM_PRESS && defined PRESS_COMPENSATE
!>            ubar(Iend+1,j,kout)=bry_val+                              &
!>   &                            Cx*(0.5_r8*                           &
!>   &                                (zeta(Iend  ,j,know)+             &
!>   &                                 zeta(Iend+1,j,know)+             &
!>   &                                 fac*(FORCES(ng)%Pair(Iend  ,j)+  &
!>   &                                      FORCES(ng)%Pair(Iend+1,j)-  &
!>   &                                      2.0_r8*OneAtm))-            &
!>   &                                BOUNDARY(ng)%zeta_east(j))
!>
              tl_ubar(Iend+1,j,kout)=tl_bry_val+                        &
     &                               tl_Cx*                             &
     &                               (0.5_r8*                           &
     &                                (zeta(Iend  ,j,know)+             &
     &                                 zeta(Iend+1,j,know)+             &
     &                                 fac*(FORCES(ng)%Pair(Iend  ,j)+  &
     &                                      FORCES(ng)%Pair(Iend+1,j)-  &
     &                                      2.0_r8*OneAtm))-            &
     &                                BOUNDARY(ng)%zeta_east(j))+       &
     &                               Cx*                                &
     &                               (0.5_r8*(tl_zeta(Iend  ,j,know)+   &
     &                                        tl_zeta(Iend+1,j,know)))- &
#  ifdef TL_IOMS
     &                               Cx*                                &
     &                               (0.5_r8*                           &
     &                                (zeta(Iend  ,j,know)+             &
     &                                 zeta(Iend+1,j,know)+             &
     &                                 fac*(FORCES(ng)%Pair(Iend  ,j)+  &
     &                                      FORCES(ng)%Pair(Iend+1,j)-  &
     &                                      2.0_r8*OneAtm))-            &
     &                                BOUNDARY(ng)%zeta_east(j))
#  endif
# else
!>            ubar(Iend+1,j,kout)=bry_val+                              &
!>   &                            Cx*(0.5_r8*(zeta(Iend  ,j,know)+      &
!>   &                                        zeta(Iend+1,j,know))-     &
!>   &                                BOUNDARY(ng)%zeta_east(j))
!>
              tl_ubar(Iend+1,j,kout)=tl_bry_val+                        &
     &                               tl_Cx*                             &
     &                               (0.5_r8*(zeta(Iend  ,j,know)+      &
     &                                        zeta(Iend+1,j,know))-     &
     &                                BOUNDARY(ng)%zeta_east(j))+       &
     &                               Cx*                                &
     &                               (0.5_r8*(tl_zeta(Iend  ,j,know)+   &
     &                                        tl_zeta(Iend+1,j,know))-  &
     &                                BOUNDARY(ng)%tl_zeta_east(j))-    &
#  ifdef TL_IOMS
     &                               Cx*                                &
     &                               (0.5_r8*(zeta(Iend  ,j,know)+      &
     &                                        zeta(Iend+1,j,know))-     &
     &                                BOUNDARY(ng)%zeta_east(j))
#  endif
# endif
# ifdef MASKING
!>   &        ubar(Iend+1,j,kout)=ubar(Iend+1,j,kout)*                  &
!>   &                            GRID(ng)%umask(Iend+1,j)
!>
              tl_ubar(Iend+1,j,kout)=tl_ubar(Iend+1,j,kout)*            &
     &                               GRID(ng)%umask(Iend+1,j)
# endif
            END IF
          END DO
!
!  Eastern edge, Shchepetkin boundary condition (Maison et al., 2010).
!
        ELSE IF (tl_LBC(ieast,isUbar,ng)%Shchepetkin) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%east(j)) THEN
# if defined SSH_TIDES_NOT_YET && !defined UV_TIDES_NOT_YET
              IF (tl_LBC(ieast,isFsur,ng)%acquire) THEN
                bry_pgr=-g*(BOUNDARY(ng)%zeta_east(j)-                  &
     &                      zeta(Iend,j,know))*                         &
     &                  0.5_r8*GRID(ng)%pm(Iend,j)
                tl_bry_pgr=-g*(BOUNDARY(ng)%tl_zeta_east(j)-            &
     &                         tl_zeta(Iend,j,know))*                   &
     &                     0.5_r8*GRID(ng)%pm(Iend,j)
              ELSE
                bry_pgr=-g*(zeta(Iend+1,j,know)-                        &
     &                      zeta(Iend  ,j,know))*                       &
     &                  0.5_r8*(GRID(ng)%pm(Iend  ,j)+                  &
     &                          GRID(ng)%pm(Iend+1,j))
                tl_bry_pgr=-g*(tl_zeta(Iend+1,j,know)-                  &
     &                         tl_zeta(Iend  ,j,know))*                 &
     &                     0.5_r8*(GRID(ng)%pm(Iend  ,j)+               &
     &                             GRID(ng)%pm(Iend+1,j))
              END IF
#  ifdef UV_COR
              bry_cor=0.125_r8*(vbar(Iend  ,j  ,know)+                  &
     &                          vbar(Iend  ,j+1,know)+                  &
     &                          vbar(Iend+1,j  ,know)+                  &
     &                          vbar(Iend+1,j+1,know))*                 &
     &                         (GRID(ng)%f(Iend  ,j)+                   &
     &                          GRID(ng)%f(Iend+1,j))
              tl_bry_cor=0.125_r8*(tl_vbar(Iend  ,j  ,know)+            &
     &                             tl_vbar(Iend  ,j+1,know)+            &
     &                             tl_vbar(Iend+1,j  ,know)+            &
     &                             tl_vbar(Iend+1,j+1,know))*           &
     &                            (GRID(ng)%f(Iend  ,j)+                &
     &                             GRID(ng)%f(Iend+1,j))
#  else
              bry_cor=0.0_r8
              tl_bry_cor=0.0_r8
#  endif
              cff1=1.0_r8/(0.5_r8*(GRID(ng)%h(Iend  ,j)+                &
     &                             zeta(Iend  ,j,know)+                 &
     &                             GRID(ng)%h(Iend+1,j)+                &
     &                             zeta(Iend+1,j,know)))
              tl_cff1=-cff1*cff1*0.5_r8*(GRID(ng)%tl_h(Iend  ,j)+       &
     &                                   tl_zeta(Iend  ,j,know)+        &
     &                                   GRID(ng)%tl_h(Iend+1,j)+       &
     &                                   tl_zeta(Iend+1,j,know))+       &
#  ifdef TL_IOMS
     &                2.0_r8*cff1
#  endif
              bry_str=cff1*(FORCES(ng)%sustr(Iend+1,j)-                 &
     &                      FORCES(ng)%bustr(Iend+1,j))
              tl_bry_str=tl_cff1*(FORCES(ng)%sustr(Iend+1,j)-           &
     &                            FORCES(ng)%bustr(Iend+1,j))+          &
     &                   cff1*(FORCES(ng)%tl_sustr(Iend+1,j)-           &
     &                         FORCES(ng)%tl_bustr(Iend+1,j))-          &
#  ifdef TL_IOMS
     &                   bry_str
#  endif
              Cx=1.0_r8/SQRT(g*0.5_r8*(GRID(ng)%h(Iend+1,j)+            &
     &                                 zeta(Iend+1,j,know)+             &
     &                                 GRID(ng)%h(Iend  ,j)+            &
     &                                 zeta(Iend  ,j,know)))
              tl_Cx=-Cx*Cx*Cx*0.25_r8*g*(GRID(ng)%tl_h(Iend+1,j)+       &
     &                                   tl_zeta(Iend+1,j,know)+        &
     &                                   GRID(ng)%tl_h(Iend  ,j)+       &
     &                                   tl_zeta(Iend  ,j,know))+       &
#  ifdef TL_IOMS
     &              g*0.5_r8*Cx*Cx*Cx*(GRID(ng)%h(Iend+1,j)+            &
     &                                 zeta(Iend+1,j,know)+             &
     &                                 GRID(ng)%h(Iend  ,j)+            &
     &                                 zeta(Iend  ,j,know))
#  endif
              cff2=GRID(ng)%om_u(Iend+1,j)*Cx
              tl_cff2=GRID(ng)%om_u(Iend+1,j)*tl_Cx
!>            bry_val=ubar(Iend,j,know)+                                &
!>   &                cff2*(bry_pgr+                                    &
!>   &                      bry_cor+                                    &
!>   &                      bry_str)
!>
              tl_bry_val=tl_ubar(Iend,j,know)+                          &
     &                   tl_cff2*(bry_pgr+                              &
     &                            bry_cor+                              &
     &                            bry_str)+                             &
     &                   cff2*(tl_bry_pgr+                              &
     &                         tl_bry_cor+                              &
     &                         tl_bry_str)-
#  ifdef TL_IOMS
     &                   cff2*(bry_pgr+bry_cor+bry_str)
#  endif
# else
!>            bry_val=BOUNDARY(ng)%ubar_east(j)
!>
              tl_bry_val=BOUNDARY(ng)%tl_ubar_east(j)
# endif
              cff=0.5_r8*(GRID(ng)%h(Iend  ,j)+                         &
     &                    GRID(ng)%h(Iend+1,j))
              tl_cff=0.5_r8*(GRID(ng)%tl_h(Iend  ,j)+                   &
     &                       GRID(ng)%tl_h(Iend+1,j))
              cff1=SQRT(g/cff)
              tl_cff1=-0.5_r8*cff1*tl_cff/cff+                          &
# ifdef TL_IOMS
     &                0.5_r8*cff1
# endif
              Cx=dt2d*cff1*cff*0.5_r8*(GRID(ng)%pm(Iend  ,j)+           &
     &                                 GRID(ng)%pm(Iend+1,j))
              tl_Cx=dt2d*0.5_r8*(GRID(ng)%pm(Iend  ,j)+                 &
     &                           GRID(ng)%pm(Iend+1,j))*                &
     &              (cff1*tl_cff+                                       &
     &               tl_cff1*cff)-                                      &
# ifdef TL_IOMS
     &              Cx
# endif
              Zx=(0.5_r8+Cx)*zeta(Iend  ,j,know)+                       &
     &           (0.5_r8-Cx)*zeta(Iend+1,j,know)
              tl_Zx=(0.5_r8+Cx)*tl_zeta(Iend  ,j,know)+                 &
     &              (0.5_r8-Cx)*tl_zeta(Iend+1,j,know)+                 &
     &              tl_Cx*(zeta(Iend  ,j,know)-                         &
     &                     zeta(Iend+1,j,know))-                        &
# ifdef TL_IOMS
     &              Zx                                      ! HGA check
# endif
              IF (Cx.gt.Co) THEN
                cff2=(1.0_r8-Co/Cx)**2
                tl_cff2=2.0_r8*cff2*Co*tl_Cx/(Cx*Cx)-                   &
# ifdef TL_IOMS
     &                  cff2                                ! HGA check
# endif
                cff3=zeta(Iend,j,kout)+                                 &
     &               Cx*zeta(Iend+1,j,know)-                            &
     &               (1.0_r8+Cx)*zeta(Iend,j,know)
                tl_cff3=tl_zeta(Iend,j,kout)+                           &
     &                  Cx*tl_zeta(Iend+1,j,know)+                      &
     &                  tl_Cx*(zeta(Iend  ,j,know)+                     &
     &                         zeta(Iend+1,j,know))-                    &
     &                  (1.0_r8+Cx)*tl_zeta(Iend,j,know)-               &
# ifdef TL_IOMS
     &                  Cx*zeta(Istr-1,j,know)+                         &
     &                  (1.0_r8+Cx)*zeta(Istr,j,know)       ! HGA check
# endif
                Zx=Zx+cff2*cff3
                tl_Zx=tl_Zx+cff2*tl_cff3+                               &
     &                      tl_cff2*cff3-                               &
# ifdef TL_IOMS
     &                      cff2*cff3                       ! HGA check
# endif
              END IF
!>            ubar(Iend+1,j,kout)=0.5_r8*                               &
!>   &                            ((1.0_r8-Cx)*ubar(Iend+1,j,know)+     &
!>   &                             Cx*ubar(Iend,j,know)+                &
!>   &                             bry_val+                             &
!>   &                             cff1*(Zx-BOUNDARY(ng)%zeta_east(j)))
!>
              tl_ubar(Iend+1,j,kout)=0.5_r8*                            &
     &                               ((1.0_r8-Cx)*                      &
     &                                tl_ubar(Iend+1,j,know)+           &
     &                                tl_Cx*(ubar(Iend  ,j,know)-       &
     &                                       ubar(Iend+1,j,know))+      &
     &                                Cx*tl_ubar(Iend,j,know)+          &
     &                                tl_bry_val+                       &
     &                                tl_cff1*                          &
     &                                (Zx-BOUNDARY(ng)%zeta_east(j))-   &
     &                                cff1*tl_Zx)-                      &
# ifdef TL_IOMS
     &                               0.5_r8*                            &
     &                               ((1.0_r8-Cx)*ubar(Iend+1,j,know)+  &
     &                                Cx*ubar(Iend,j,know)+             &
     &                                cff1*                             &
     &                                (Zx-BOUNDARY(ng)%zeta_east(j)))
!!                                                          ! HGA check
# endif
# ifdef ADJUST_BOUNDARY
              IF (Lobc(ieast,isUbar,ng)) THEN
                tl_ubar(Iend+1,j,kout)=tl_ubar(Iend+1,j,kout)-          &
     &                                 0.5_r8*cff1*                     &
     &                                 BOUNDARY(ng)%tl_zeta_east(j)
              END IF
# endif
# ifdef MASKING
!>   &        ubar(Iend+1,j,kout)=ubar(Iend+1,j,kout)*                  &
!>   &                            GRID(ng)%umask(Iend+1,j)
!>
              tl_ubar(Iend+1,j,kout)=tl_ubar(Iend+1,j,kout)*            &
     &                               GRID(ng)%umask(Iend+1,j)
# endif
            END IF
          END DO
!
!  Eastern edge, clamped boundary condition.
!
        ELSE IF (tl_LBC(ieast,isUbar,ng)%clamped) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%east(j)) THEN
!>            ubar(Iend+1,j,kout)=BOUNDARY(ng)%ubar_east(j)
!>
              tl_ubar(Iend+1,j,kout)=BOUNDARY(ng)%tl_ubar_east(j)
# ifdef MASKING
!>            ubar(Iend+1,j,kout)=ubar(Iend+1,j,kout)*                  &
!>   &                            GRID(ng)%umask(Iend+1,j)
!>
              tl_ubar(Iend+1,j,kout)=tl_ubar(Iend+1,j,kout)*            &
     &                               GRID(ng)%umask(Iend+1,j)
# endif
            END IF
          END DO
!
!  Eastern edge, gradient boundary condition.
!
        ELSE IF (tl_LBC(ieast,isUbar,ng)%gradient) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%east(j)) THEN
!>            ubar(Iend+1,j,kout)=ubar(Iend,j,kout)
!>
              tl_ubar(Iend+1,j,kout)=tl_ubar(Iend,j,kout)
# ifdef MASKING
!>            ubar(Iend+1,j,kout)=ubar(Iend+1,j,kout)*                  &
!>   &                            GRID(ng)%umask(Iend+1,j)
!>
              tl_ubar(Iend+1,j,kout)=tl_ubar(Iend+1,j,kout)*            &
     &                               GRID(ng)%umask(Iend+1,j)
# endif
            END IF
          END DO
!
!  Eastern edge, reduced-physics boundary condition.
!
        ELSE IF (tl_LBC(ieast,isUbar,ng)%reduced) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%east(j)) THEN
              IF (tl_LBC(ieast,isFsur,ng)%acquire) THEN
!>              bry_pgr=-g*(BOUNDARY(ng)%zeta_east(j)-                  &
!>   &                      zeta(Iend,j,know))*                         &
!>   &                  0.5_r8*GRID(ng)%pm(Iend,j)
!>
                tl_bry_pgr=-g*(BOUNDARY(ng)%tl_zeta_east(j)-            &
     &                         tl_zeta(Iend,j,know))*                   &
     &                     0.5_r8*GRID(ng)%pm(Iend,j)
              ELSE
!>              bry_pgr=-g*(zeta(Iend+1,j,know)-                        &
!>   &                      zeta(Iend  ,j,know))*                       &
!>   &                  0.5_r8*(GRID(ng)%pm(Iend  ,j)+                  &
!>   &                          GRID(ng)%pm(Iend+1,j))
!>
                tl_bry_pgr=-g*(tl_zeta(Iend+1,j,know)-                  &
     &                         tl_zeta(Iend  ,j,know))*                 &
     &                     0.5_r8*(GRID(ng)%pm(Iend  ,j)+               &
     &                             GRID(ng)%pm(Iend+1,j))
              END IF
# ifdef UV_COR
!>            bry_cor=0.125_r8*(vbar(Iend  ,j  ,know)+                  &
!>   &                          vbar(Iend  ,j+1,know)+                  &
!>   &                          vbar(Iend+1,j  ,know)+                  &
!>   &                          vbar(Iend+1,j+1,know))*                 &
!>   &                         (GRID(ng)%f(Iend  ,j)+                   &
!>   &                          GRID(ng)%f(Iend+1,j))
!>
              tl_bry_cor=0.125_r8*(tl_vbar(Iend,  j  ,know)+            &
     &                             tl_vbar(Iend  ,j+1,know)+            &
     &                             tl_vbar(Iend+1,j  ,know)+            &
     &                             tl_vbar(Iend+1,j+1,know))*           &
     &                            (GRID(ng)%f(Iend  ,j)+                &
     &                             GRID(ng)%f(Iend+1,j))
# else
!>            bry_cor=0.0_r8
!>
              tl_bry_cor=0.0_r8
# endif
              cff=1.0_r8/(0.5_r8*(GRID(ng)%h(Iend  ,j)+                 &
     &                            zeta(Iend  ,j,know)+                  &
     &                            GRID(ng)%h(Iend+1,j)+                 &
     &                            zeta(Iend+1,j,know)))
              tl_cff=-cff*cff*0.5_r8*(GRID(ng)%tl_h(Iend  ,j)+          &
     &                                tl_zeta(Iend  ,j,know)+           &
     &                                GRID(ng)%tl_h(Iend+1,j)+          &
     &                                tl_zeta(Iend+1,j,know))+          &
# ifdef TL_IOMS
     &               2.0_r8*cff
# endif
!>            bry_str=cff*(FORCES(ng)%sustr(Iend+1,j)-                  &
!>   &                     FORCES(ng)%bustr(Iend+1,j))
!>
              tl_bry_str=tl_cff*(FORCES(ng)%sustr(Iend+1,j)-            &
     &                           FORCES(ng)%bustr(Iend+1,j))+           &
     &                   cff*(FORCES(ng)%tl_sustr(Iend+1,j)-            &
     &                        FORCES(ng)%tl_bustr(Iend+1,j))-           &
# ifdef TL_IOMS
     &                   cff*(FORCES(ng)%sustr(Iend+1,j)-               &
     &                        FORCES(ng)%bustr(Iend+1,j))
# endif
!>            ubar(Iend+1,j,kout)=ubar(Iend+1,j,know)+                  &
!>   &                            dt2d*(bry_pgr+                        &
!>   &                                  bry_cor+                        &
!>   &                                  bry_str)
!>
              tl_ubar(Iend+1,j,kout)=tl_ubar(Iend+1,j,know)+            &
     &                               dt2d*(tl_bry_pgr+                  &
     &                                     tl_bry_cor+                  &
     &                                     tl_bry_str)
# ifdef MASKING
!>            ubar(Iend+1,j,kout)=ubar(Iend+1,j,kout)*                  &
!>   &                            GRID(ng)%umask(Iend+1,j)
!>
              tl_ubar(Iend+1,j,kout)=tl_ubar(Iend+1,j,kout)*            &
     &                               GRID(ng)%umask(Iend+1,j)
# endif
            END IF
          END DO
!
!  Eastern edge, closed boundary condition.
!
        ELSE IF (tl_LBC(ieast,isUbar,ng)%closed) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%east(j)) THEN
!>            ubar(Iend+1,j,kout)=0.0_r8
!>
              tl_ubar(Iend+1,j,kout)=0.0_r8
            END IF
          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 (tl_LBC(isouth,isUbar,ng)%radiation) THEN
          IF (iic(ng).ne.0) THEN
            DO i=IstrU-1,Iend
!>            grad(i,Jstr-1)=ubar(i+1,Jstr-1,know)-                     &
!>   &                       ubar(i  ,Jstr-1,know)
!>
              tl_grad(i,Jstr-1)=0.0_r8
            END DO
            DO i=IstrU,Iend
              IF (LBC_apply(ng)%south(i)) THEN
# if defined CELERITY_READ && defined FORWARD_READ
                IF (tl_LBC(isouth,isUbar,ng)%nudging) THEN
                  IF (LnudgeM2CLM(ng)) THEN
                    obc_out=0.5_r8*                                     &
     &                      (CLIMA(ng)%M2nudgcof(i-1,Jstr-1)+           &
     &                       CLIMA(ng)%M2nudgcof(i  ,Jstr-1))
                    obc_in =obcfac(ng)*obc_out
                  ELSE
                    obc_out=M2obc_out(ng,isouth)
                    obc_in =M2obc_in (ng,isouth)
                  END IF
                  IF (BOUNDARY(ng)%ubar_south_Ce(i).lt.0.0_r8) THEN
                    tau=obc_in
                  ELSE
                    tau=obc_out
                  END IF
                  tau=tau*dt2d
                END IF
#  ifdef RADIATION_2D
                Cx=BOUNDARY(ng)%ubar_south_Cx(i)
#  else
                Cx=0.0_r8
#  endif
                Ce=BOUNDARY(ng)%ubar_south_Ce(i)
                cff=BOUNDARY(ng)%ubar_south_C2(i)
# endif
!>              ubar(i,Jstr-1,kout)=(cff*ubar(i,Jstr-1,know)+           &
!>   &                               Ce *ubar(i,Jstr  ,kout)-           &
!>   &                               MAX(Cx,0.0_r8)*grad(i-1,Jstr-1)-   &
!>   &                               MIN(Cx,0.0_r8)*grad(i  ,Jstr-1))/  &
!>   &                              (cff+Ce)
!>
                tl_ubar(i,Jstr-1,kout)=(cff*tl_ubar(i,Jstr-1,know)+     &
     &                                  Ce *tl_ubar(i,Jstr  ,kout)-     &
     &                                  MAX(Cx,0.0_r8)*                 &
     &                                     tl_grad(i-1,Jstr-1)-         &
     &                                  MIN(Cx,0.0_r8)*                 &
     &                                     tl_grad(i  ,Jstr-1))/        &
     &                                 (cff+Ce)

                IF (tl_LBC(isouth,isUbar,ng)%nudging) THEN
!>                ubar(i,Jstr-1,kout)=ubar(i,Jstr-1,kout)+              &
!>   &                                tau*(BOUNDARY(ng)%ubar_south(i)-  &
!>   &                                     ubar(i,Jstr-1,know))
!>
                  tl_ubar(i,Jstr-1,kout)=tl_ubar(i,Jstr-1,kout)-        &
     &                                   tau*tl_ubar(i,Jstr-1,know)
                END IF
# ifdef MASKING
!>              ubar(i,Jstr-1,kout)=ubar(i,Jstr-1,kout)*                &
!>   &                              GRID(ng)%umask(i,Jstr-1)
!>
                tl_ubar(i,Jstr-1,kout)=tl_ubar(i,Jstr-1,kout)*          &
     &                                 GRID(ng)%umask(i,Jstr-1)
# endif
              END IF
            END DO
          END IF
!
!  Southern edge, Chapman boundary condition.
!
        ELSE IF (tl_LBC(isouth,isUbar,ng)%Flather.or.                   &
     &           tl_LBC(isouth,isUbar,ng)%reduced.or.                   &
     &           tl_LBC(isouth,isUbar,ng)%Shchepetkin) THEN
          DO i=IstrU,Iend
            IF (LBC_apply(ng)%south(i)) THEN
              cff=dt2d*0.5_r8*(GRID(ng)%pn(i-1,Jstr)+                   &
     &                         GRID(ng)%pn(i  ,Jstr))
              cff1=SQRT(g*0.5_r8*(GRID(ng)%h(i-1,Jstr)+                 &
     &                            zeta(i-1,Jstr,know)+                  &
     &                            GRID(ng)%h(i  ,Jstr)+                 &
     &                            zeta(i  ,Jstr,know)))
              tl_cff1=0.25_r8*g*(GRID(ng)%tl_h(i-1,Jstr)+               &
     &                           tl_zeta(i-1,Jstr,know)+                &
     &                           GRID(ng)%tl_h(i  ,Jstr)+               &
     &                           tl_zeta(i  ,Jstr,know))/cff1+          &
# ifdef TL_IOMS
     &                0.5_r8*cff1
# endif
              Ce=cff*cff1
              tl_Ce=cff*tl_cff1
              cff2=1.0_r8/(1.0_r8+Ce)
              tl_cff2=-cff2*cff2*tl_Ce+                                 &
# ifdef TL_IOMS
     &                cff2*cff2*(1.0_r8+2.0_r8*Ce)
# endif
!>            ubar(i,Jstr-1,kout)=cff2*(ubar(i,Jstr-1,know)+            &
!>   &                                  Ce*ubar(i,Jstr,kout))
!>
              tl_ubar(i,Jstr-1,kout)=tl_cff2*(ubar(i,Jstr-1,know)+      &
     &                                        Ce*ubar(i,Jstr,kout))+    &
     &                               cff2*(tl_ubar(i,Jstr-1,know)+      &
     &                                     tl_Ce*ubar(i,Jstr,kout)+     &
     &                                     Ce*tl_ubar(i,Jstr,kout))-    &
# ifdef TL_IOMS
     &                               cff2*(ubar(i,Jstr-1,know)+         &
     &                                     2.0_r8*Ce*ubar(i,Jstr,kout))
# endif
# ifdef MASKING
!>            ubar(i,Jstr-1,kout)=ubar(i,Jstr-1,kout)*                  &
!>   &                            GRID(ng)%umask(i,Jstr-1)
!>
              tl_ubar(i,Jstr-1,kout)=tl_ubar(i,Jstr-1,kout)*            &
     &                               GRID(ng)%umask(i,Jstr-1)
# endif
            END IF
          END DO
!
!  Southern edge, clamped boundary condition.
!
        ELSE IF (tl_LBC(isouth,isUbar,ng)%clamped) THEN
          DO i=IstrU,Iend
            IF (LBC_apply(ng)%south(i)) THEN
!>            ubar(i,Jstr-1,kout)=BOUNDARY(ng)%ubar_south(i)
!>
              tl_ubar(i,Jstr-1,kout)=BOUNDARY(ng)%tl_ubar_south(i)
# ifdef MASKING
!>            ubar(i,Jstr-1,kout)=ubar(i,Jstr-1,kout)*                  &
!>   &                            GRID(ng)%umask(i,Jstr-1)
!>
              tl_ubar(i,Jstr-1,kout)=tl_ubar(i,Jstr-1,kout)*            &
     &                               GRID(ng)%umask(i,Jstr-1)
# endif
            END IF
          END DO
!
!  Southern edge, gradient boundary condition.
!
        ELSE IF (tl_LBC(isouth,isUbar,ng)%gradient) THEN
          DO i=IstrU,Iend
            IF (LBC_apply(ng)%south(i)) THEN
!>            ubar(i,Jstr-1,kout)=ubar(i,Jstr,kout)
!>
              tl_ubar(i,Jstr-1,kout)=tl_ubar(i,Jstr,kout)
# ifdef MASKING
!>            ubar(i,Jstr-1,kout)=ubar(i,Jstr-1,kout)*                  &
!>   &                            GRID(ng)%umask(i,Jstr-1)
!>
              tl_ubar(i,Jstr-1,kout)=tl_ubar(i,Jstr-1,kout)*            &
     &                               GRID(ng)%umask(i,Jstr-1)
# endif
            END IF
          END DO
!
!  Southern edge, closed boundary condition: free slip (gamma2=1)  or
!                                            no   slip (gamma2=-1).
!
        ELSE IF (tl_LBC(isouth,isUbar,ng)%closed) THEN
          IF (EWperiodic(ng)) THEN
            Imin=IstrU
            Imax=Iend
          ELSE
            Imin=Istr
            Imax=IendR
          END IF
          DO i=Imin,Imax
            IF (LBC_apply(ng)%south(i)) THEN
!>            ubar(i,Jstr-1,kout)=gamma2(ng)*ubar(i,Jstr,kout)
!>
              tl_ubar(i,Jstr-1,kout)=gamma2(ng)*tl_ubar(i,Jstr,kout)
# ifdef MASKING
!>            ubar(i,Jstr-1,kout)=ubar(i,Jstr-1,kout)*                  &
!>   &                            GRID(ng)%umask(i,Jstr-1)
!>
              tl_ubar(i,Jstr-1,kout)=tl_ubar(i,Jstr-1,kout)*            &
     &                               GRID(ng)%umask(i,Jstr-1)
# endif
            END IF
          END DO
        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 (tl_LBC(inorth,isUbar,ng)%radiation) THEN
          IF (iic(ng).ne.0) THEN
            DO i=IstrU-1,Iend
!>            grad(i,Jend+1)=ubar(i+1,Jend+1,know)-                     &
!>   &                       ubar(i  ,Jend+1,know)
!>
              tl_grad(i,Jend+1)=0.0_r8
            END DO
            DO i=IstrU,Iend
              IF (LBC_apply(ng)%north(i)) THEN
# if defined CELERITY_READ && defined FORWARD_READ
                IF (tl_LBC(inorth,isUbar,ng)%nudging) THEN
                  IF (LnudgeM2CLM(ng)) THEN
                    obc_out=0.5_r8*                                     &
     &                      (CLIMA(ng)%M2nudgcof(i-1,Jend+1)+           &
     &                       CLIMA(ng)%M2nudgcof(i  ,Jend+1))
                    obc_in =obcfac(ng)*obc_out
                  ELSE
                    obc_out=M2obc_out(ng,inorth)
                    obc_in =M2obc_in (ng,inorth)
                  END IF
                  IF (BOUNDARY(ng)%ubar_north_Ce(i).lt.0.0_r8) THEN
                    tau=obc_in
                  ELSE
                    tau=obc_out
                  END IF
                  tau=tau*dt2d
                END IF
#  ifdef RADIATION_2D
                Cx=BOUNDARY(ng)%ubar_north_Cx(i)
#  else
                Cx=0.0_r8
#  endif
                Ce=BOUNDARY(ng)%ubar_north_Ce(i)
                cff=BOUNDARY(ng)%ubar_north_C2(i)
# endif
!>              ubar(i,Jend+1,kout)=(cff*ubar(i,Jend+1,know)+           &
!>   &                               Ce *ubar(i,Jend  ,kout)-           &
!>   &                               MAX(Cx,0.0_r8)*grad(i-1,Jend+1)-   &
!>   &                               MIN(Cx,0.0_r8)*grad(i  ,Jend+1))/  &
!>   &                              (cff+Ce)
!>
                tl_ubar(i,Jend+1,kout)=(cff*tl_ubar(i,Jend+1,know)+     &
     &                                  Ce *tl_ubar(i,Jend  ,kout)-     &
     &                                  MAX(Cx,0.0_r8)*                 &
     &                                     tl_grad(i-1,Jend+1)-         &
     &                                  MIN(Cx,0.0_r8)*                 &
     &                                     tl_grad(i  ,Jend+1))/        &
     &                                 (cff+Ce)

                IF (tl_LBC(inorth,isUbar,ng)%nudging) THEN
!>                ubar(i,Jend+1,kout)=ubar(i,Jend+1,kout)+              &
!>   &                                tau*(BOUNDARY(ng)%ubar_north(i)-  &
!>   &                                     ubar(i,Jend+1,know))
!>
                  tl_ubar(i,Jend+1,kout)=tl_ubar(i,Jend+1,kout)-        &
     &                                   tau*tl_ubar(i,Jend+1,know)
                END IF
# ifdef MASKING
!>              ubar(i,Jend+1,kout)=ubar(i,Jend+1,kout)*                &
!>   &                              GRID(ng)%umask(i,Jend+1)
!>
                tl_ubar(i,Jend+1,kout)=tl_ubar(i,Jend+1,kout)*          &
     &                                 GRID(ng)%umask(i,Jend+1)
# endif
              END IF
            END DO
          END IF
!
!  Northern edge, Chapman boundary condition.
!
        ELSE IF (tl_LBC(inorth,isUbar,ng)%Flather.or.                   &
     &           tl_LBC(inorth,isUbar,ng)%reduced.or.                   &
     &           tl_LBC(inorth,isUbar,ng)%Shchepetkin) THEN
          DO i=IstrU,Iend
            IF (LBC_apply(ng)%north(i)) THEN
              cff=dt2d*0.5_r8*(GRID(ng)%pn(i-1,Jend)+                   &
     &                         GRID(ng)%pn(i  ,Jend))
              cff1=SQRT(g*0.5_r8*(GRID(ng)%h(i-1,Jend)+                 &
     &                            zeta(i-1,Jend,know)+                  &
     &                            GRID(ng)%h(i  ,Jend)+                 &
     &                            zeta(i  ,Jend,know)))
              tl_cff1=0.25_r8*g*(GRID(ng)%tl_h(i-1,Jend)+               &
     &                           tl_zeta(i-1,Jend,know)+                &
     &                           GRID(ng)%tl_h(i  ,Jend)+               &
     &                           tl_zeta(i  ,Jend,know))/cff1+          &
# ifdef TL_IOMS
     &                0.5_r8*cff1
# endif
              Ce=cff*cff1
              tl_Ce=cff*tl_cff1
              cff2=1.0_r8/(1.0_r8+Ce)
              tl_cff2=-cff2*cff2*tl_Ce+                                 &
# ifdef TL_IOMS
     &                cff2*cff2*(1.0_r8+2.0_r8*Ce)
# endif
!>            ubar(i,Jend+1,kout)=cff2*(ubar(i,Jend+1,know)+            &
!>   &                                  Ce*ubar(i,Jend,kout))
!>
              tl_ubar(i,Jend+1,kout)=tl_cff2*(ubar(i,Jend+1,know)+      &
     &                                        Ce*ubar(i,Jend,kout))+    &
     &                               cff2*(tl_ubar(i,Jend+1,know)+      &
     &                                     tl_Ce*ubar(i,Jend,kout)+     &
     &                                     Ce*tl_ubar(i,Jend,kout))-    &
# ifdef TL_IOMS
     &                               cff2*(ubar(i,Jend+1,know)+         &
     &                                     2.0_r8*Ce*ubar(i,Jend,kout))
# endif
# ifdef MASKING
!>            ubar(i,Jend+1,kout)=ubar(i,Jend+1,kout)*                  &
!>   &                            GRID(ng)%umask(i,Jend+1)
!>
              tl_ubar(i,Jend+1,kout)=tl_ubar(i,Jend+1,kout)*            &
     &                               GRID(ng)%umask(i,Jend+1)
# endif
            END IF
          END DO
!
!  Northern edge, clamped boundary condition.
!
        ELSE IF (tl_LBC(inorth,isUbar,ng)%clamped) THEN
          DO i=IstrU,Iend
            IF (LBC_apply(ng)%north(i)) THEN
!>            ubar(i,Jend+1,kout)=BOUNDARY(ng)%ubar_north(i)
!>
              tl_ubar(i,Jend+1,kout)=BOUNDARY(ng)%tl_ubar_north(i)
# ifdef MASKING
!>            ubar(i,Jend+1,kout)=ubar(i,Jend+1,kout)*                  &
!>   &                            GRID(ng)%umask(i,Jend+1)
!>
              tl_ubar(i,Jend+1,kout)=tl_ubar(i,Jend+1,kout)*            &
     &                               GRID(ng)%umask(i,Jend+1)
# endif
            END IF
          END DO
!
!  Northern edge, gradient boundary condition.
!
        ELSE IF (tl_LBC(inorth,isUbar,ng)%gradient) THEN
          DO i=IstrU,Iend
            IF (LBC_apply(ng)%north(i)) THEN
!>            ubar(i,Jend+1,kout)=ubar(i,Jend,kout)
!>
              tl_ubar(i,Jend+1,kout)=tl_ubar(i,Jend,kout)
# ifdef MASKING
!>            ubar(i,Jend+1,kout)=ubar(i,Jend+1,kout)*                  &
!>   &                            GRID(ng)%umask(i,Jend+1)
!>
              tl_ubar(i,Jend+1,kout)=tl_ubar(i,Jend+1,kout)*            &
     &                               GRID(ng)%umask(i,Jend+1)
# endif
            END IF
          END DO
!
!  Northern edge, closed boundary condition: free slip (gamma2=1)  or
!                                            no   slip (gamma2=-1).
!
        ELSE IF (tl_LBC(inorth,isUbar,ng)%closed) THEN
          IF (EWperiodic(ng)) THEN
            Imin=IstrU
            Imax=Iend
          ELSE
            Imin=Istr
            Imax=IendR
          END IF
          DO i=Imin,Imax
            IF (LBC_apply(ng)%north(i)) THEN
!>            ubar(i,Jend+1,kout)=gamma2(ng)*ubar(i,Jend,kout)
!>
              tl_ubar(i,Jend+1,kout)=gamma2(ng)*tl_ubar(i,Jend,kout)

# ifdef MASKING
!>            ubar(i,Jend+1,kout)=ubar(i,Jend+1,kout)*                  &
!>   &                            GRID(ng)%GRID(ng)%umask(i,Jend+1)
!>
              tl_ubar(i,Jend+1,kout)=tl_ubar(i,Jend+1,kout)*            &
     &                               GRID(ng)%umask(i,Jend+1)
# endif
            END IF
          END DO
        END IF
      END IF
!
!-----------------------------------------------------------------------
!  Boundary corners.
!-----------------------------------------------------------------------
!
      IF (.not.(EWperiodic(ng).or.NSperiodic(ng))) THEN
        IF (DOMAIN(ng)%SouthWest_Corner(tile)) THEN
          IF (LBC_apply(ng)%south(Istr  ).and.                          &
     &        LBC_apply(ng)%west (Jstr-1)) THEN
!>          ubar(Istr,Jstr-1,kout)=0.5_r8*(ubar(Istr+1,Jstr-1,kout)+    &
!>   &                                     ubar(Istr  ,Jstr  ,kout))
!>
            tl_ubar(Istr,Jstr-1,kout)=0.5_r8*                           &
     &                                (tl_ubar(Istr+1,Jstr-1,kout)+     &
     &                                 tl_ubar(Istr  ,Jstr  ,kout))
          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
!>          ubar(Iend+1,Jstr-1,kout)=0.5_r8*(ubar(Iend  ,Jstr-1,kout)+  &
!>   &                                       ubar(Iend+1,Jstr  ,kout))
!>
            tl_ubar(Iend+1,Jstr-1,kout)=0.5_r8*                         &
     &                                  (tl_ubar(Iend  ,Jstr-1,kout)+   &
     &                                   tl_ubar(Iend+1,Jstr  ,kout))
          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
!>          ubar(Istr,Jend+1,kout)=0.5_r8*(ubar(Istr  ,Jend  ,kout)+    &
!>   &                                     ubar(Istr+1,Jend+1,kout))
!>
            tl_ubar(Istr,Jend+1,kout)=0.5_r8*                           &
     &                                (tl_ubar(Istr  ,Jend  ,kout)+     &
     &                                 tl_ubar(Istr+1,Jend+1,kout))
          END IF
        END IF
        IF (DOMAIN(ng)%NorthEast_Corner(tile)) THEN
          IF (LBC_apply(ng)%north(Iend+1).and.                          &
     &        LBC_apply(ng)%east (Jend+1)) THEN
!>          ubar(Iend+1,Jend+1,kout)=0.5_r8*(ubar(Iend+1,Jend  ,kout)+  &
!>   &                                       ubar(Iend  ,Jend+1,kout))
!>
            tl_ubar(Iend+1,Jend+1,kout)=0.5_r8*                         &
     &                                  (tl_ubar(Iend+1,Jend  ,kout)+   &
     &                                   tl_ubar(Iend  ,Jend+1,kout))
          END IF
        END IF
      END IF

# if defined WET_DRY_NOT_YET
!
!-----------------------------------------------------------------------
!  Impose wetting and drying conditions.
!
!  HGA:  need RPM code here.
!-----------------------------------------------------------------------
!
      IF (.not.EWperiodic(ng)) THEN
        IF (DOMAIN(ng)%Western_Edge(tile)) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%west(j)) THEN
!>            cff1=ABS(ABS(GRID(ng)%umask_wet(Istr,j))-1.0_r8)
!>            cff2=0.5_r8+DSIGN(0.5_r8,ubar(Istr,j,kout))*              &
!>   &                    GRID(ng)%umask_wet(Istr,j)
!>            cff=0.5_r8*GRID(ng)%umask_wet(Istr,j)*cff1+               &
!>   &            cff2*(1.0_r8-cff1)
!>            ubar(Istr,j,kout)=ubar(Istr,j,kout)*cff
            END IF
          END DO
        END IF
        IF (DOMAIN(ng)%Eastern_Edge(tile)) THEN
          DO j=Jstr,Jend
            IF (LBC_apply(ng)%east(j)) THEN
!>            cff1=ABS(ABS(GRID(ng)%umask_wet(Iend+1,j))-1.0_r8)
!>            cff2=0.5_r8+DSIGN(0.5_r8,ubar(Iend+1,j,kout))*            &
!>   &                    GRID(ng)%umask_wet(Iend+1,j)
!>            cff=0.5_r8*GRID(ng)%umask_wet(Iend+1,j)*cff1+             &
!>   &            cff2*(1.0_r8-cff1)
!>            ubar(Iend+1,j,kout)=ubar(Iend+1,j,kout)*cff
            END IF
          END DO
        END IF
      END IF

      IF (.not.NSperiodic(ng)) THEN
        IF (DOMAIN(ng)%Southern_Edge(tile)) THEN
          DO i=IstrU,Iend
            IF (LBC_apply(ng)%south(i)) THEN
!>            cff1=ABS(ABS(GRID(ng)%umask_wet(i,Jstr-1))-1.0_r8)
!>            cff2=0.5_r8+DSIGN(0.5_r8,ubar(i,Jstr-1,kout))*            &
!>   &                    GRID(ng)%umask_wet(i,Jstr-1)
!>            cff=0.5_r8*GRID(ng)%umask_wet(i,Jstr-1)*cff1+             &
!>   &            cff2*(1.0_r8-cff1)
!>            ubar(i,Jstr-1,kout)=ubar(i,Jstr-1,kout)*cff
            END IF
          END DO
        END IF
        IF (DOMAIN(ng)%Northern_Edge(tile)) THEN
          DO i=Istr,Iend
            IF (LBC_apply(ng)%north(i)) THEN
!>            cff1=ABS(ABS(GRID(ng)%umask_wet(i,Jend+1))-1.0_r8)
!>            cff2=0.5_r8+DSIGN(0.5_r8,ubar(i,Jend+1,kout))*            &
!>   &                    GRID(ng)%umask_wet(i,Jend+1)
!>            cff=0.5_r8*GRID(ng)%umask_wet(i,Jend+1)*cff1+             &
!>   &            cff2*(1.0_r8-cff1)
!>            ubar(i,Jend+1,kout)=ubar(i,Jend+1,kout)*cff
            END IF
          END DO
        END IF
      END IF

      IF (.not.(EWperiodic(ng).or.NSperiodic(ng))) THEN
        IF (DOMAIN(ng)%SouthWest_Corner(tile)) THEN
          IF (LBC_apply(ng)%south(Istr  ).and.                          &
     &        LBC_apply(ng)%west (Jstr-1)) THEN
!>          cff1=ABS(ABS(GRID(ng)%umask_wet(Istr,Jstr-1))-1.0_r8)
!>          cff2=0.5_r8+DSIGN(0.5_r8,ubar(Istr,Jstr-1,kout))*           &
!>   &                  GRID(ng)%umask_wet(Istr,Jstr-1)
!>          cff=0.5_r8*GRID(ng)%umask_wet(Istr,Jstr-1)*cff1+            &
!>   &          cff2*(1.0_r8-cff1)
!>          ubar(Istr,Jstr-1,kout)=ubar(Istr,Jstr-1,kout)*cff
          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
!>          cff1=ABS(ABS(GRID(ng)%umask_wet(Iend+1,Jstr-1))-1.0_r8)
!>          cff2=0.5_r8+DSIGN(0.5_r8,ubar(Iend+1,Jstr-1,kout))*         &
!>   &                  GRID(ng)%umask_wet(Iend+1,Jstr-1)
!>          cff=0.5_r8*GRID(ng)%umask_wet(Iend+1,Jstr-1)*cff1+          &
!>   &          cff2*(1.0_r8-cff1)
!>          ubar(Iend+1,Jstr-1,kout)=ubar(Iend+1,Jstr-1,kout)*cff
          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
!>          cff1=ABS(ABS(GRID(ng)%umask_wet(Istr,Jend+1))-1.0_r8)
!>          cff2=0.5_r8+DSIGN(0.5_r8,ubar(Istr,Jend+1,kout))*           &
!>   &                  GRID(ng)%umask_wet(Istr,Jend+1)
!>          cff=0.5_r8*GRID(ng)%umask_wet(Istr,Jend+1)*cff1+            &
!>   &          cff2*(1.0_r8-cff1)
!>          ubar(Istr,Jend+1,kout)=ubar(Istr,Jend+1,kout)*cff
          END IF
        END IF
        IF (DOMAIN(ng)%NorthEast_Corner(tile)) THEN
          IF (LBC_apply(ng)%north(Iend+1).and.                          &
     &        LBC_apply(ng)%east (Jend+1)) THEN
!>          cff1=ABS(ABS(GRID(ng)%umask_wet(Iend+1,Jend+1))-1.0_r8)
!>          cff2=0.5_r8+DSIGN(0.5_r8,ubar(Iend+1,Jend+1,kout))*         &
!>   &                  GRID(ng)%umask_wet(Iend+1,Jend+1)
!>          cff=0.5_r8*GRID(ng)%umask_wet(Iend+1,Jend+1)+cff1+          &
!>   &          cff2*(1.0_r8-cff1)
!>          ubar(Iend+1,Jend+1,kout)=ubar(Iend+1,Jend+1,kout)*cff
          END IF
        END IF
      END IF
# endif

      RETURN
      END SUBROUTINE rp_u2dbc_tile
#endif
      END MODULE rp_u2dbc_mod
