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C $Header: /u/gcmpack/models/MITgcmUV/model/src/solve_for_pressure.F,v 1.20 2001/03/25 22:33:53 heimbach Exp $ |
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C $Name: $ |
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|
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#include "CPP_OPTIONS.h" |
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|
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CStartOfInterface |
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SUBROUTINE SOLVE_FOR_PRESSURE( myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE SOLVE_FOR_PRESSURE | |
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C | o Controls inversion of two and/or three-dimensional | |
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C | elliptic problems for the pressure field. | |
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C \==========================================================/ |
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IMPLICIT NONE |
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|
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C == Global variables |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "DYNVARS.h" |
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#include "GRID.h" |
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#include "SURFACE.h" |
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#ifdef ALLOW_NONHYDROSTATIC |
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#include "CG3D.h" |
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#include "GW.h" |
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#endif |
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#ifdef ALLOW_OBCS |
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#include "OBCS.h" |
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#endif |
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|
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C == Routine arguments == |
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C myThid - Number of this instance of SOLVE_FOR_PRESSURE |
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INTEGER myThid |
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CEndOfInterface |
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|
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C Local variables |
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C cg2d_x - Conjugate Gradient 2-D solver : Solution vector |
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C cg2d_b - Conjugate Gradient 2-D solver : Right-hand side vector |
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INTEGER i,j,k,bi,bj |
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_RS uf(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RS vf(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL cg2d_x(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL cg2d_b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL tolerance,residual |
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INTEGER numIters |
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|
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C-- Save previous solution & Initialise Vector solution and source term : |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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#ifdef INCLUDE_CD_CODE |
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etaNm1(i,j,bi,bj) = etaN(i,j,bi,bj) |
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#endif |
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cg2d_x(i,j,bi,bj) = Bo_surf(i,j,bi,bj)*etaN(i,j,bi,bj) |
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cg2d_b(i,j,bi,bj) = 0. |
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#ifdef USE_NATURAL_BCS |
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& + freeSurfFac*_rA(i,j,bi,bj)* |
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& EmPmR(I,J,bi,bj)/deltaTMom |
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#endif |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO K=Nr,1,-1 |
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DO j=1,sNy+1 |
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DO i=1,sNx+1 |
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uf(i,j) = _dyG(i,j,bi,bj) |
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& *drF(k)*_hFacW(i,j,k,bi,bj) |
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vf(i,j) = _dxG(i,j,bi,bj) |
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& *drF(k)*_hFacS(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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CALL CALC_DIV_GHAT( |
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I bi,bj,1,sNx,1,sNy,K, |
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I uf,vf, |
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U cg2d_b, |
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I myThid) |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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C-- Add source term arising from w=d/dt (p_s + p_nh) |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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#ifdef ALLOW_NONHYDROSTATIC |
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DO j=1,sNy |
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DO i=1,sNx |
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cg2d_b(i,j,bi,bj) = cg2d_b(i,j,bi,bj) |
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& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom |
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& *( etaN(i,j,bi,bj) |
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& +cg3d_x(i,j,1,bi,bj)*horiVertRatio/gravity ) |
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cg3d_b(i,j,1,bi,bj) = cg3d_b(i,j,1,bi,bj) |
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& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom |
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& *( etaN(i,j,bi,bj) |
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& +cg3d_x(i,j,1,bi,bj)*horiVertRatio/gravity ) |
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C-jmc |
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c & -freeSurfFac*_rA(i,j,bi,bj)*recip_Bo(i,j,bi,bj) |
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c & *( cg2d_x(i,j,bi,bj) + cg3d_x(i,j,1,bi,bj) ) |
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c & /deltaTMom/deltaTMom |
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C-jmc |
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ENDDO |
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ENDDO |
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#else |
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DO j=1,sNy |
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DO i=1,sNx |
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cg2d_b(i,j,bi,bj) = cg2d_b(i,j,bi,bj) |
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& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom |
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& * etaN(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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#endif |
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|
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#ifdef ALLOW_OBCS |
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IF (useOBCS) THEN |
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DO i=1,sNx |
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C Northern boundary |
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IF (OB_Jn(I,bi,bj).NE.0) THEN |
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cg2d_b(I,OB_Jn(I,bi,bj),bi,bj)=0. |
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ENDIF |
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C Southern boundary |
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IF (OB_Js(I,bi,bj).NE.0) THEN |
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cg2d_b(I,OB_Js(I,bi,bj),bi,bj)=0. |
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ENDIF |
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ENDDO |
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DO j=1,sNy |
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C Eastern boundary |
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IF (OB_Ie(J,bi,bj).NE.0) THEN |
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cg2d_b(OB_Ie(J,bi,bj),J,bi,bj)=0. |
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ENDIF |
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C Western boundary |
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IF (OB_Iw(J,bi,bj).NE.0) THEN |
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cg2d_b(OB_Iw(J,bi,bj),J,bi,bj)=0. |
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ENDIF |
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ENDDO |
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ENDIF |
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#endif |
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ENDDO |
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ENDDO |
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|
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|
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C-- Find the surface pressure using a two-dimensional conjugate |
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C-- gradient solver. |
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C see CG2D_INTERNAL.h for the interface to this routine. |
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tolerance=cg2dTargetResidual |
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residual=0. |
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numIters=cg2dMaxIters |
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CALL CG2D( |
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I cg2d_b, |
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U cg2d_x, |
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U tolerance, |
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U residual, |
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U numIters, |
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I myThid ) |
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_EXCH_XY_R8(cg2d_x, myThid ) |
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|
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_BEGIN_MASTER( myThid ) |
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WRITE(*,'(A,I6,1PE30.14)') ' CG2D iters, err = ', |
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& 0, tolerance |
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WRITE(*,'(A,I6,1PE30.14)') ' CG2D iters, err = ', |
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& numIters, residual |
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_END_MASTER( ) |
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|
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C-- Transfert the 2D-solution to "etaN" : |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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etaN(i,j,bi,bj) = recip_Bo(i,j,bi,bj)*cg2d_x(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_NONHYDROSTATIC |
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IF ( nonHydrostatic ) THEN |
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|
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C-- Solve for a three-dimensional pressure term (NH or IGW or both ). |
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C see CG3D.h for the interface to this routine. |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO j=1,sNy+1 |
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DO i=1,sNx+1 |
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uf(i,j)=-_recip_dxC(i,j,bi,bj)* |
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& (cg2d_x(i,j,bi,bj)-cg2d_x(i-1,j,bi,bj)) |
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vf(i,j)=-_recip_dyC(i,j,bi,bj)* |
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& (cg2d_x(i,j,bi,bj)-cg2d_x(i,j-1,bi,bj)) |
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_OBCS |
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IF (useOBCS) THEN |
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DO i=1,sNx+1 |
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C Northern boundary |
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IF (OB_Jn(I,bi,bj).NE.0) THEN |
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vf(I,OB_Jn(I,bi,bj))=0. |
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ENDIF |
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C Southern boundary |
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IF (OB_Js(I,bi,bj).NE.0) THEN |
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vf(I,OB_Js(I,bi,bj)+1)=0. |
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ENDIF |
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ENDDO |
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DO j=1,sNy+1 |
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C Eastern boundary |
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IF (OB_Ie(J,bi,bj).NE.0) THEN |
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uf(OB_Ie(J,bi,bj),J)=0. |
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ENDIF |
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C Western boundary |
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IF (OB_Iw(J,bi,bj).NE.0) THEN |
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uf(OB_Iw(J,bi,bj)+1,J)=0. |
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ENDIF |
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ENDDO |
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ENDIF |
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#endif |
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|
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K=1 |
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DO j=1,sNy |
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DO i=1,sNx |
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cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
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& +dRF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
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& -dRF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j) |
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& +dRF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
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& -dRF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j ) |
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& +( freeSurfFac*etaN(i,j,bi,bj)/deltaTMom |
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& -wVel(i,j,k+1,bi,bj) |
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& )*_rA(i,j,bi,bj)/deltaTmom |
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ENDDO |
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ENDDO |
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DO K=2,Nr-1 |
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DO j=1,sNy |
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DO i=1,sNx |
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cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
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& +dRF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
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& -dRF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j) |
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& +dRF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
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& -dRF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j ) |
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& +( wVel(i,j,k ,bi,bj) |
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& -wVel(i,j,k+1,bi,bj) |
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& )*_rA(i,j,bi,bj)/deltaTmom |
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|
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ENDDO |
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ENDDO |
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ENDDO |
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K=Nr |
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DO j=1,sNy |
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DO i=1,sNx |
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cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
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& +dRF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
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& -dRF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j) |
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& +dRF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
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& -dRF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j ) |
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& +( wVel(i,j,k ,bi,bj) |
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& )*_rA(i,j,bi,bj)/deltaTmom |
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|
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_OBCS |
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IF (useOBCS) THEN |
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DO K=1,Nr |
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DO i=1,sNx |
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C Northern boundary |
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IF (OB_Jn(I,bi,bj).NE.0) THEN |
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cg3d_b(I,OB_Jn(I,bi,bj),K,bi,bj)=0. |
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ENDIF |
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C Southern boundary |
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IF (OB_Js(I,bi,bj).NE.0) THEN |
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cg3d_b(I,OB_Js(I,bi,bj),K,bi,bj)=0. |
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ENDIF |
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ENDDO |
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DO j=1,sNy |
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C Eastern boundary |
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IF (OB_Ie(J,bi,bj).NE.0) THEN |
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cg3d_b(OB_Ie(J,bi,bj),J,K,bi,bj)=0. |
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ENDIF |
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C Western boundary |
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IF (OB_Iw(J,bi,bj).NE.0) THEN |
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cg3d_b(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
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ENDIF |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif |
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|
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ENDDO ! bi |
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ENDDO ! bj |
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|
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CALL CG3D( myThid ) |
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_EXCH_XYZ_R8(cg3d_x, myThid ) |
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|
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ENDIF |
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#endif |
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|
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RETURN |
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END |
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