#include "cppdefs.h" MODULE tl_conv_bry2d_mod #if defined TANGENT && defined FOUR_DVAR && defined ADJUST_BOUNDARY ! !svn $Id: tl_conv_bry2d.F 889 2018-02-10 03:32:52Z arango $ !================================================== Hernan G. Arango === ! Copyright (c) 2002-2019 The ROMS/TOMS Group Andrew M. Moore ! ! Licensed under a MIT/X style license ! ! See License_ROMS.txt ! !======================================================================= ! ! ! These routines applies the background error covariance to data ! ! assimilation fields via the space convolution of the diffusion ! ! equation (filter) for 3D state variables. The diffusion filter ! ! is solved using an explicit (inefficient) algorithm. ! ! ! ! For Gaussian (bell-shaped) correlations, the space convolution ! ! of the diffusion operator is an efficient way to estimate the ! ! finite domain error covariances. ! ! ! ! On Input: ! ! ! ! ng Nested grid number ! ! tile Tile partition ! ! model Calling model identifier ! ! boundary Boundary edge to convolve ! ! edge Boundary edges index ! ! LBij Lower bound MIN(I,J)-dimension ! ! LBij Lower bound MAX(I,J)-dimension ! ! LBi I-dimension Lower bound ! ! UBi I-dimension Upper bound ! ! LBj J-dimension Lower bound ! ! UBj J-dimension Upper bound ! ! Nghost Number of ghost points ! ! NHsteps Number of horizontal diffusion integration steps ! ! DTsizeH Horizontal diffusion pseudo time-step size ! ! Kh Horizontal diffusion coefficients ! ! tl_A 2D boundary state variable to diffuse ! ! ! ! On Output: ! ! ! ! tl_A Convolved 2D boundary state variable ! ! ! ! Routines: ! ! ! ! tl_conv_r2d_bry_tile Tangent linear 2D boundary convolution at ! ! RHO-points ! ! tl_conv_u2d_bry_tile Tangent linear 2D boundary convolution at ! ! U-points ! ! tl_conv_v2d_bry_tile Tangent linear 2D boundary convolution at ! ! V-points ! ! ! !======================================================================= ! implicit none ! PUBLIC ! CONTAINS ! !*********************************************************************** SUBROUTINE tl_conv_r2d_bry_tile (ng, tile, model, boundary, & & edge, LBij, UBij, & & LBi, UBi, LBj, UBj, & & IminS, ImaxS, JminS, JmaxS, & & Nghost, NHsteps, DTsizeH, & & Kh, & & pm, pn, pmon_u, pnom_v, & # ifdef MASKING & rmask, umask, vmask, & # endif & tl_A) !*********************************************************************** ! USE mod_param USE mod_scalars ! USE bc_bry2d_mod, ONLY: bc_r2d_bry_tile # ifdef DISTRIBUTE USE mp_exchange_mod, ONLY : mp_exchange2d_bry # endif ! ! Imported variable declarations. ! integer, intent(in) :: ng, tile, model, boundary integer, intent(in) :: edge(4) integer, intent(in) :: LBij, UBij integer, intent(in) :: LBi, UBi, LBj, UBj integer, intent(in) :: IminS, ImaxS, JminS, JmaxS integer, intent(in) :: Nghost, NHsteps real(r8), intent(in) :: DTsizeH ! # ifdef ASSUMED_SHAPE real(r8), intent(in) :: pm(LBi:,LBj:) real(r8), intent(in) :: pn(LBi:,LBj:) real(r8), intent(in) :: pmon_u(LBi:,LBj:) real(r8), intent(in) :: pnom_v(LBi:,LBj:) # ifdef MASKING real(r8), intent(in) :: rmask(LBi:,LBj:) real(r8), intent(in) :: umask(LBi:,LBj:) real(r8), intent(in) :: vmask(LBi:,LBj:) # endif real(r8), intent(in) :: Kh(LBi:,LBj:) real(r8), intent(inout) :: tl_A(LBij:) # else real(r8), intent(in) :: pm(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pn(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pmon_u(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pnom_v(LBi:UBi,LBj:UBj) # ifdef MASKING real(r8), intent(in) :: rmask(LBi:UBi,LBj:UBj) real(r8), intent(in) :: umask(LBi:UBi,LBj:UBj) real(r8), intent(in) :: vmask(LBi:UBi,LBj:UBj) # endif real(r8), intent(in) :: Kh(LBi:UBi,LBj:UBj) real(r8), intent(inout) :: tl_A(LBij:UBij) # endif ! ! Local variable declarations. ! logical, dimension(4) :: Lconvolve integer :: Nnew, Nold, Nsav, i, j, step real(r8), dimension(LBij:UBij,2) :: tl_Awrk real(r8), dimension(JminS:JmaxS) :: tl_FE real(r8), dimension(IminS:ImaxS) :: tl_FX real(r8), dimension(LBij:UBij) :: Hfac # include "set_bounds.h" ! !----------------------------------------------------------------------- ! Space convolution of the diffusion equation for a 1D state variable ! at RHO-points. !----------------------------------------------------------------------- ! Lconvolve(iwest )=DOMAIN(ng)%Western_Edge (tile) Lconvolve(ieast )=DOMAIN(ng)%Eastern_Edge (tile) Lconvolve(isouth)=DOMAIN(ng)%Southern_Edge(tile) Lconvolve(inorth)=DOMAIN(ng)%Northern_Edge(tile) ! ! Compute metrics factor. ! IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN i=edge(boundary) DO j=Jstr,Jend Hfac(j)=DTsizeH*pm(i,j)*pn(i,j) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN j=edge(boundary) DO i=Istr,Iend Hfac(i)=DTsizeH*pm(i,j)*pn(i,j) END DO END IF END IF ! ! Set integration indices and initial conditions. ! Nold=1 Nnew=2 !> CALL bc_r2d_bry_tile (ng, tile, boundary, & !> & LBij, UBij, & !> & A) !> CALL bc_r2d_bry_tile (ng, tile, boundary, & & LBij, UBij, & & tl_A) # ifdef DISTRIBUTE !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & !> & LBij, UBij, & !> & Nghost, & !> & EWperiodic(ng), NSperiodic(ng), & !> & A) !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & & LBij, UBij, & & Nghost, & & EWperiodic(ng), NSperiodic(ng), & & tl_A) # endif IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN DO j=Jstr-1,Jend+1 !> Awrk(j,Nold)=A(j) !> tl_Awrk(j,Nold)=tl_A(j) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN DO i=Istr-1,Iend+1 !> Awrk(i,Nold)=A(i) !> tl_Awrk(i,Nold)=tl_A(i) END DO END IF END IF ! !----------------------------------------------------------------------- ! Integrate horizontal diffusion terms. !----------------------------------------------------------------------- ! DO step=1,NHsteps ! ! Compute XI- and ETA-components of diffusive flux. ! IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN i=edge(boundary) DO j=Jstr,Jend+1 !> FE(j)=pnom_v(i,j)*0.5_r8*(Kh(i,j-1)+Kh(i,j))* & !> & (Awrk(j ,Nold)- & !> & Awrk(j-1,Nold)) !> tl_FE(j)=pnom_v(i,j)*0.5_r8*(Kh(i,j-1)+Kh(i,j))* & & (tl_Awrk(j ,Nold)- & & tl_Awrk(j-1,Nold)) # ifdef MASKING !> FE(j)=FE(j)*vmask(i,j) !> tl_FE(j)=tl_FE(j)*vmask(i,j) # endif END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN j=edge(boundary) DO i=Istr,Iend+1 !> FX(i)=pmon_u(i,j)*0.5_r8*(Kh(i-1,j)+Kh(i,j))* & !> & (Awrk(i ,Nold)- & !> & Awrk(i-1,Nold)) !> tl_FX(i)=pmon_u(i,j)*0.5_r8*(Kh(i-1,j)+Kh(i,j))* & & (tl_Awrk(i ,Nold)- & & tl_Awrk(i-1,Nold)) # ifdef MASKING !> FX(i)=FX(i)*umask(i,j) !> tl_FX(i)=tl_FX(i)*umask(i,j) # endif END DO END IF END IF ! ! Time-step horizontal diffusion terms. ! IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN DO j=Jstr,Jend !> Awrk(j,Nnew)=Awrk(j,Nold)+ & !> & Hfac(j)* & !> & (FE(j+1)-FE(j)) !> tl_Awrk(j,Nnew)=tl_Awrk(j,Nold)+ & & Hfac(j)* & & (tl_FE(j+1)-tl_FE(j)) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN DO i=Istr,Iend !> Awrk(i,Nnew)=Awrk(i,Nold)+ & !> & Hfac(i)* & !> & (FX(i+1)-FX(i)) !> tl_Awrk(i,Nnew)=tl_Awrk(i,Nold)+ & & Hfac(i)* & & (tl_FX(i+1)-tl_FX(i)) END DO END IF END IF ! ! Apply boundary conditions. If applicable, exchange boundary data. ! !> CALL bc_r2d_bry_tile (ng, tile, boundary, & !> & LBij, UBij, & !> & Awrk(:,Nnew)) !> CALL bc_r2d_bry_tile (ng, tile, boundary, & & LBij, UBij, & & tl_Awrk(:,Nnew)) # ifdef DISTRIBUTE !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & !> & LBij, UBij, & !> & Nghost, & !> & EWperiodic(ng), NSperiodic(ng), & !> & Awrk(:,Nnew)) !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & & LBij, UBij, & & Nghost, & & EWperiodic(ng), NSperiodic(ng), & & tl_Awrk(:,Nnew)) # endif ! ! Update integration indices. ! Nsav=Nold Nold=Nnew Nnew=Nsav END DO ! !----------------------------------------------------------------------- ! Load convolved solution. !----------------------------------------------------------------------- ! IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN DO j=Jstr,Jend !> A(j)=Awrk(j,Nold) !> tl_A(j)=tl_Awrk(j,Nold) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN DO i=Istr,Iend !> A(i)=Awrk(i,Nold) !> tl_A(i)=tl_Awrk(i,Nold) END DO END IF END IF !> CALL bc_r2d_bry_tile (ng, tile, boundary, & !> & LBij, UBij, & !> & A) !> CALL bc_r2d_bry_tile (ng, tile, boundary, & & LBij, UBij, & & tl_A) # ifdef DISTRIBUTE !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & !> & LBij, UBij, & !> & Nghost, & !> & EWperiodic(ng), NSperiodic(ng), & !> & A) !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & & LBij, UBij, & & Nghost, & & EWperiodic(ng), NSperiodic(ng), & & tl_A) # endif RETURN END SUBROUTINE tl_conv_r2d_bry_tile ! !*********************************************************************** SUBROUTINE tl_conv_u2d_bry_tile (ng, tile, model, boundary, & & edge, LBij, UBij, & & LBi, UBi, LBj, UBj, & & IminS, ImaxS, JminS, JmaxS, & & Nghost, NHsteps, DTsizeH, & & Kh, & & pm, pn, pmon_r, pnom_p, & # ifdef MASKING & umask, pmask, & # endif & tl_A) !*********************************************************************** ! USE mod_param USE mod_scalars ! USE bc_bry2d_mod, ONLY: bc_u2d_bry_tile # ifdef DISTRIBUTE USE mp_exchange_mod, ONLY : mp_exchange2d_bry # endif ! ! Imported variable declarations. ! integer, intent(in) :: ng, tile, model, boundary integer, intent(in) :: edge(4) integer, intent(in) :: LBij, UBij integer, intent(in) :: LBi, UBi, LBj, UBj integer, intent(in) :: IminS, ImaxS, JminS, JmaxS integer, intent(in) :: Nghost, NHsteps real(r8), intent(in) :: DTsizeH ! # ifdef ASSUMED_SHAPE real(r8), intent(in) :: pm(LBi:,LBj:) real(r8), intent(in) :: pn(LBi:,LBj:) real(r8), intent(in) :: pmon_r(LBi:,LBj:) real(r8), intent(in) :: pnom_p(LBi:,LBj:) # ifdef MASKING real(r8), intent(in) :: umask(LBi:,LBj:) real(r8), intent(in) :: pmask(LBi:,LBj:) # endif real(r8), intent(in) :: Kh(LBi:,LBj:) real(r8), intent(inout) :: tl_A(LBij:) # else real(r8), intent(in) :: pm(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pn(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pmon_r(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pnom_p(LBi:UBi,LBj:UBj) # ifdef MASKING real(r8), intent(in) :: umask(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pmask(LBi:UBi,LBj:UBj) # endif real(r8), intent(in) :: Kh(LBi:UBi,LBj:UBj) real(r8), intent(inout) :: tl_A(LBij:UBij) # endif ! ! Local variable declarations. ! logical, dimension(4) :: Lconvolve integer :: Nnew, Nold, Nsav, i, j, step real(r8) :: cff real(r8), dimension(LBij:UBij,2) :: tl_Awrk real(r8), dimension(JminS:JmaxS) :: tl_FE real(r8), dimension(IminS:ImaxS) :: tl_FX real(r8), dimension(LBij:UBij) :: Hfac # include "set_bounds.h" ! !----------------------------------------------------------------------- ! Space convolution of the diffusion equation for a 1D state variable ! at U-points. !----------------------------------------------------------------------- ! Lconvolve(iwest )=DOMAIN(ng)%Western_Edge (tile) Lconvolve(ieast )=DOMAIN(ng)%Eastern_Edge (tile) Lconvolve(isouth)=DOMAIN(ng)%Southern_Edge(tile) Lconvolve(inorth)=DOMAIN(ng)%Northern_Edge(tile) ! ! Compute metrics factor. ! cff=DTsizeH*0.25_r8 IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN i=edge(boundary) DO j=Jstr,Jend Hfac(j)=cff*(pm(i-1,j)+pm(i,j))*(pn(i-1,j)+pn(i,j)) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN j=edge(boundary) DO i=IstrU,Iend Hfac(i)=cff*(pm(i-1,j)+pm(i,j))*(pn(i-1,j)+pn(i,j)) END DO END IF END IF ! ! Set integration indices and initial conditions. ! Nold=1 Nnew=2 !> CALL bc_u2d_bry_tile (ng, tile, boundary, & !> & LBij, UBij, & !> & A) !> CALL bc_u2d_bry_tile (ng, tile, boundary, & & LBij, UBij, & & tl_A) # ifdef DISTRIBUTE !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & !> & LBij, UBij, & !> & Nghost, & !> & EWperiodic(ng), NSperiodic(ng), & !> & A) !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & & LBij, UBij, & & Nghost, & & EWperiodic(ng), NSperiodic(ng), & & tl_A) # endif IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN DO j=Jstr-1,Jend+1 !> Awrk(j,Nold)=A(j) !> tl_Awrk(j,Nold)=tl_A(j) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN DO i=IstrU-1,Iend+1 !> Awrk(i,Nold)=A(i) !> tl_Awrk(i,Nold)=tl_A(i) END DO END IF END IF ! !----------------------------------------------------------------------- ! Integrate horizontal diffusion terms. !----------------------------------------------------------------------- ! DO step=1,NHsteps ! ! Compute XI- and ETA-components of diffusive flux. ! IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN i=edge(boundary) DO j=Jstr,Jend+1 !> FE(j)=pnom_p(i,j)*0.25_r8*(Kh(i-1,j )+Kh(i,j )+ & !> & Kh(i-1,j-1)+Kh(i,j-1))* & !> & (Awrk(j ,Nold)- & !> & Awrk(j-1,Nold)) !> tl_FE(j)=pnom_p(i,j)*0.25_r8*(Kh(i-1,j )+Kh(i,j )+ & & Kh(i-1,j-1)+Kh(i,j-1))* & & (tl_Awrk(j ,Nold)- & & tl_Awrk(j-1,Nold)) # ifdef MASKING !> FE(j)=FE(j)*pmask(i,j) !> tl_FE(j)=tl_FE(j)*pmask(i,j) # endif END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN j=edge(boundary) DO i=IstrU-1,Iend !> FX(i)=pmon_r(i,j)*Kh(i,j)* & !> & (Awrk(i+1,Nold)- & !> & Awrk(i ,Nold)) !> tl_FX(i)=pmon_r(i,j)*Kh(i,j)* & & (tl_Awrk(i+1,Nold)- & & tl_Awrk(i ,Nold)) END DO END IF END IF ! ! Time-step horizontal diffusion terms. ! IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN DO j=Jstr,Jend !> Awrk(j,Nnew)=Awrk(j,Nold)+ & !> & Hfac(j)* & !> & (FE(j+1)-FE(j)) !> tl_Awrk(j,Nnew)=tl_Awrk(j,Nold)+ & & Hfac(j)* & & (tl_FE(j+1)-tl_FE(j)) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN DO i=IstrU,Iend !> Awrk(i,Nnew)=Awrk(i,Nold)+ & !> & Hfac(i)* & !> & (FX(i)-FX(i-1)) !> tl_Awrk(i,Nnew)=tl_Awrk(i,Nold)+ & & Hfac(i)* & & (tl_FX(i)-tl_FX(i-1)) END DO END IF END IF ! ! Apply boundary conditions. If applicable, exchange boundary data. ! !> CALL bc_u2d_bry_tile (ng, tile, boundary, & !> & LBij, UBij, & !> & Awrk(:,Nnew)) !> CALL bc_u2d_bry_tile (ng, tile, boundary, & & LBij, UBij, & & tl_Awrk(:,Nnew)) # ifdef DISTRIBUTE !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & !> & LBij, UBij, & !> & Nghost, & !> & EWperiodic(ng), NSperiodic(ng), & !> & Awrk(:,Nnew)) !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & & LBij, UBij, & & Nghost, & & EWperiodic(ng), NSperiodic(ng), & & tl_Awrk(:,Nnew)) # endif ! ! Update integration indices. ! Nsav=Nold Nold=Nnew Nnew=Nsav END DO ! !----------------------------------------------------------------------- ! Load convolved solution. !----------------------------------------------------------------------- ! IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN DO j=Jstr,Jend !> A(j)=Awrk(j,Nold) !> tl_A(j)=tl_Awrk(j,Nold) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN DO i=IstrU,Iend !> A(i)=Awrk(i,Nold) !> tl_A(i)=tl_Awrk(i,Nold) END DO END IF END IF !> CALL bc_u2d_bry_tile (ng, tile, boundary, & !> & LBij, UBij, & !> & A) !> CALL bc_u2d_bry_tile (ng, tile, boundary, & & LBij, UBij, & & tl_A) # ifdef DISTRIBUTE !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & !> & LBij, UBij, & !> & Nghost, & !> & EWperiodic(ng), NSperiodic(ng), & !> & A) !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & & LBij, UBij, & & Nghost, EWperiodic(ng), NSperiodic(ng), & & tl_A) # endif RETURN END SUBROUTINE tl_conv_u2d_bry_tile ! !*********************************************************************** SUBROUTINE tl_conv_v2d_bry_tile (ng, tile, model, boundary, & & edge, LBij, UBij, & & LBi, UBi, LBj, UBj, & & IminS, ImaxS, JminS, JmaxS, & & Nghost, NHsteps, DTsizeH, & & Kh, & & pm, pn, pmon_p, pnom_r, & # ifdef MASKING & vmask, pmask, & # endif & tl_A) !*********************************************************************** ! USE mod_param USE mod_scalars ! USE bc_bry2d_mod, ONLY: bc_v2d_bry_tile # ifdef DISTRIBUTE USE mp_exchange_mod, ONLY : mp_exchange2d_bry # endif ! ! Imported variable declarations. ! integer, intent(in) :: ng, tile, model, boundary integer, intent(in) :: edge(4) integer, intent(in) :: LBij, UBij integer, intent(in) :: LBi, UBi, LBj, UBj integer, intent(in) :: IminS, ImaxS, JminS, JmaxS integer, intent(in) :: Nghost, NHsteps real(r8), intent(in) :: DTsizeH ! # ifdef ASSUMED_SHAPE real(r8), intent(in) :: pm(LBi:,LBj:) real(r8), intent(in) :: pn(LBi:,LBj:) real(r8), intent(in) :: pmon_p(LBi:,LBj:) real(r8), intent(in) :: pnom_r(LBi:,LBj:) # ifdef MASKING real(r8), intent(in) :: vmask(LBi:,LBj:) real(r8), intent(in) :: pmask(LBi:,LBj:) # endif real(r8), intent(in) :: Kh(LBi:,LBj:) real(r8), intent(inout) :: tl_A(LBij:) # else real(r8), intent(in) :: pm(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pn(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pmon_p(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pnom_r(LBi:UBi,LBj:UBj) # ifdef MASKING real(r8), intent(in) :: vmask(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pmask(LBi:UBi,LBj:UBj) # endif real(r8), intent(in) :: Kh(LBi:UBi,LBj:UBj) real(r8), intent(inout) :: tl_A(LBij:UBij) # endif ! ! Local variable declarations. ! logical, dimension(4) :: Lconvolve integer :: Nnew, Nold, Nsav, i, j, step real(r8) :: cff real(r8), dimension(LBij:UBij,2) :: tl_Awrk real(r8), dimension(JminS:JmaxS) :: tl_FE real(r8), dimension(IminS:ImaxS) :: tl_FX real(r8), dimension(LBij:UBij) :: Hfac # include "set_bounds.h" ! !----------------------------------------------------------------------- ! Space convolution of the diffusion equation for a 2D state variable ! at RHO-points. !----------------------------------------------------------------------- ! Lconvolve(iwest )=DOMAIN(ng)%Western_Edge (tile) Lconvolve(ieast )=DOMAIN(ng)%Eastern_Edge (tile) Lconvolve(isouth)=DOMAIN(ng)%Southern_Edge(tile) Lconvolve(inorth)=DOMAIN(ng)%Northern_Edge(tile) ! ! Compute metrics factor. ! cff=DTsizeH*0.25_r8 IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN i=edge(boundary) DO j=JstrV,Jend Hfac(j)=cff*(pm(i,j-1)+pm(i,j))*(pn(i,j-1)+pn(i,j)) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN j=edge(boundary) DO i=Istr,Iend Hfac(i)=cff*(pm(i,j-1)+pm(i,j))*(pn(i,j-1)+pn(i,j)) END DO END IF END IF ! ! Set integration indices and initial conditions. ! Nold=1 Nnew=2 !> CALL bc_v2d_bry_tile (ng, tile, boundary, & !> & LBij, UBij, & !> & A) !> CALL bc_v2d_bry_tile (ng, tile, boundary, & & LBij, UBij, & & tl_A) # ifdef DISTRIBUTE !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & !> & LBij, UBij, & !> & Nghost, & !> & EWperiodic(ng), NSperiodic(ng), & !> & A) !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & & LBij, UBij, & & Nghost, & & EWperiodic(ng), NSperiodic(ng), & & tl_A) # endif IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN DO j=JstrV-1,Jend+1 !> Awrk(j,Nold)=A(j) !> tl_Awrk(j,Nold)=tl_A(j) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN DO i=Istr-1,Iend+1 !> Awrk(i,Nold)=A(i) !> tl_Awrk(i,Nold)=tl_A(i) END DO END IF END IF ! !----------------------------------------------------------------------- ! Integrate horizontal diffusion terms. !----------------------------------------------------------------------- ! DO step=1,NHsteps ! ! Compute XI- and ETA-components of diffusive flux. ! IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN i=edge(boundary) DO j=JstrV-1,Jend !> FE(j)=pnom_r(i,j)*Kh(i,j)* & !> & (Awrk(j+1,Nold)- & !> & Awrk(j ,Nold)) !> tl_FE(j)=pnom_r(i,j)*Kh(i,j)* & & (tl_Awrk(j+1,Nold)- & & tl_Awrk(j ,Nold)) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN j=edge(boundary) DO i=Istr,Iend+1 !> FX(i)=pmon_p(i,j)*0.25_r8*(Kh(i-1,j )+Kh(i,j )+ & !> & Kh(i-1,j-1)+Kh(i,j-1))* & !> & (Awrk(i ,Nold)- & !> & Awrk(i-1,Nold)) !> tl_FX(i)=pmon_p(i,j)*0.25_r8*(Kh(i-1,j )+Kh(i,j )+ & & Kh(i-1,j-1)+Kh(i,j-1))* & & (tl_Awrk(i ,Nold)- & & tl_Awrk(i-1,Nold)) # ifdef MASKING !> FX(i)=FX(i)*pmask(i,j) !> tl_FX(i)=tl_FX(i)*pmask(i,j) # endif END DO END IF END IF ! ! Time-step horizontal diffusion terms. ! IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN DO j=JstrV,Jend !> Awrk(j,Nnew)=Awrk(j,Nold)+ & !> & Hfac(j)* & !> & (FE(j)-FE(j-1)) !> tl_Awrk(j,Nnew)=tl_Awrk(j,Nold)+ & & Hfac(j)* & & (tl_FE(j)-tl_FE(j-1)) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN DO i=Istr,Iend !> Awrk(i,Nnew)=Awrk(i,Nold)+ & !> & Hfac(i)* & !> & (FX(i+1)-FX(i)) !> tl_Awrk(i,Nnew)=tl_Awrk(i,Nold)+ & & Hfac(i)* & & (tl_FX(i+1)-tl_FX(i)) END DO END IF END IF ! ! Apply boundary conditions. If applicable, exchange boundary data. ! !> CALL bc_v2d_bry_tile (ng, tile, boundary, & !> & LBij, UBij, & !> & Awrk(:,Nnew)) !> CALL bc_v2d_bry_tile (ng, tile, boundary, & & LBij, UBij, & & tl_Awrk(:,Nnew)) # ifdef DISTRIBUTE !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & !> & LBij, UBij, & !> & Nghost, & !> & EWperiodic(ng), NSperiodic(ng), & !> & Awrk(:,Nnew)) !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & & LBij, UBij, & & Nghost, & & EWperiodic(ng), NSperiodic(ng), & & tl_Awrk(:,Nnew)) # endif ! ! Update integration indices. ! Nsav=Nold Nold=Nnew Nnew=Nsav END DO ! !----------------------------------------------------------------------- ! Load convolved solution. !----------------------------------------------------------------------- ! IF (Lconvolve(boundary)) THEN IF ((boundary.eq.iwest).or.(boundary.eq.ieast)) THEN DO j=JstrV,Jend !> A(j)=Awrk(j,Nold) !> tl_A(j)=tl_Awrk(j,Nold) END DO ELSE IF ((boundary.eq.isouth).or.(boundary.eq.inorth)) THEN DO i=Istr,Iend !> A(i)=Awrk(i,Nold) !> tl_A(i)=tl_Awrk(i,Nold) END DO END IF END IF !> CALL bc_v2d_bry_tile (ng, tile, boundary, & !> & LBij, UBij, & !> & A) !> CALL bc_v2d_bry_tile (ng, tile, boundary, & & LBij, UBij, & & tl_A) # ifdef DISTRIBUTE !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & !> & LBij, UBij, & !> & Nghost, & !> & EWperiodic(ng), NSperiodic(ng), & !> & A) !> CALL mp_exchange2d_bry (ng, tile, model, 1, boundary, & & LBij, UBij, & & Nghost, & & EWperiodic(ng), NSperiodic(ng), & & tl_A) # endif RETURN END SUBROUTINE tl_conv_v2d_bry_tile #endif END MODULE tl_conv_bry2d_mod