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C $Header: /u/gcmpack/MITgcm/model/src/solve_for_pressure.F,v 1.48 2005/11/08 02:14:10 jmc Exp $ |
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C $Name: $ |
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|
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#include "PACKAGES_CONFIG.h" |
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#include "CPP_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: SOLVE_FOR_PRESSURE |
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C !INTERFACE: |
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SUBROUTINE SOLVE_FOR_PRESSURE(myTime, myIter, myThid) |
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|
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C !DESCRIPTION: \bv |
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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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C \ev |
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|
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C !USES: |
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IMPLICIT NONE |
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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 "GRID.h" |
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#include "SURFACE.h" |
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#include "FFIELDS.h" |
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#include "DYNVARS.h" |
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#include "SOLVE_FOR_PRESSURE.h" |
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#ifdef ALLOW_NONHYDROSTATIC |
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#include "SOLVE_FOR_PRESSURE3D.h" |
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#include "NH_VARS.h" |
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#endif |
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#ifdef ALLOW_CD_CODE |
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#include "CD_CODE_VARS.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 === Functions ==== |
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LOGICAL DIFFERENT_MULTIPLE |
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EXTERNAL DIFFERENT_MULTIPLE |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
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C myTime - Current time in simulation |
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C myIter - Current iteration number in simulation |
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C myThid - Thread number for this instance of SOLVE_FOR_PRESSURE |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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|
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C !LOCAL VARIABLES: |
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C == Local variables == |
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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 firstResidual,lastResidual |
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_RL tmpFac |
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_RL sumEmP, tileEmP |
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LOGICAL putPmEinXvector |
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INTEGER numIters |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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#ifdef ALLOW_NONHYDROSTATIC |
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INTEGER ks |
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LOGICAL zeroPsNH |
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#endif |
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CEOP |
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|
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#ifdef TIME_PER_TIMESTEP |
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CCE107 common block for per timestep timing |
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C !TIMING VARIABLES |
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C == Timing variables == |
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REAL*8 utnew, utold, stnew, stold, wtnew, wtold |
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COMMON /timevars/ utnew, utold, stnew, stold, wtnew, wtold |
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#endif |
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|
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#ifdef ALLOW_NONHYDROSTATIC |
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c zeroPsNH = .FALSE. |
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zeroPsNH = exactConserv |
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#endif |
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|
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C-- Initialise the Vector solution with etaN + deltaT*Global_mean_PmE |
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C instead of simply etaN ; This can speed-up the solver convergence in |
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C the case where |Global_mean_PmE| is large. |
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putPmEinXvector = .FALSE. |
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c putPmEinXvector = useRealFreshWaterFlux |
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|
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C-- Save previous solution & Initialise Vector solution and source term : |
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sumEmP = 0. |
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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 ALLOW_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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ENDDO |
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ENDDO |
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IF (useRealFreshWaterFlux) THEN |
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tmpFac = freeSurfFac*convertEmP2rUnit |
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IF (exactConserv) |
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& tmpFac = freeSurfFac*convertEmP2rUnit*implicDiv2DFlow |
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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) = |
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& tmpFac*_rA(i,j,bi,bj)*EmPmR(i,j,bi,bj)/deltaTMom |
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ENDDO |
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ENDDO |
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ENDIF |
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IF ( putPmEinXvector ) THEN |
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tileEmP = 0. |
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DO j=1,sNy |
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DO i=1,sNx |
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tileEmP = tileEmP + rA(i,j,bi,bj)*EmPmR(i,j,bi,bj) |
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& *maskH(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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sumEmP = sumEmP + tileEmP |
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ENDIF |
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ENDDO |
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ENDDO |
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IF ( putPmEinXvector ) THEN |
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_GLOBAL_SUM_R8( sumEmP, myThid ) |
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ENDIF |
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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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IF ( putPmEinXvector ) THEN |
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tmpFac = 0. |
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IF (globalArea.GT.0.) tmpFac = freeSurfFac*deltaTfreesurf |
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& *convertEmP2rUnit*sumEmP/globalArea |
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DO j=1,sNy |
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DO i=1,sNx |
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cg2d_x(i,j,bi,bj) = cg2d_x(i,j,bi,bj) |
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& - tmpFac*Bo_surf(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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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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IF ( nonHydrostatic .AND. zeroPsNH ) THEN |
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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/deltaTfreesurf |
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& * etaH(i,j,bi,bj) |
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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/deltaTfreesurf |
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& * etaH(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ELSEIF ( nonHydrostatic ) THEN |
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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/deltaTfreesurf |
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& *( etaN(i,j,bi,bj) |
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& +phi_nh(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/deltaTfreesurf |
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& *( etaN(i,j,bi,bj) |
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& +phi_nh(i,j,1,bi,bj)*horiVertRatio/gravity ) |
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ENDDO |
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ENDDO |
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ELSEIF ( exactConserv ) THEN |
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#else |
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IF ( exactConserv ) THEN |
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#endif /* 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/deltaTfreesurf |
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& * etaH(i,j,bi,bj) |
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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/deltaTfreesurf |
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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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cg2d_x(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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cg2d_x(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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cg2d_x(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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cg2d_x(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 /* ALLOW_OBCS */ |
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C- end bi,bj loops |
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_DEBUG |
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IF ( debugLevel .GE. debLevB ) THEN |
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CALL DEBUG_STATS_RL(1,cg2d_b,'cg2d_b (SOLVE_FOR_PRESSURE)', |
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& myThid) |
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ENDIF |
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#endif |
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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.h for the interface to this routine. |
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firstResidual=0. |
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lastResidual=0. |
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numIters=cg2dMaxIters |
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CALL CG2D( |
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U cg2d_b, |
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U cg2d_x, |
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O firstResidual, |
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O lastResidual, |
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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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#ifdef ALLOW_DEBUG |
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IF ( debugLevel .GE. debLevB ) THEN |
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CALL DEBUG_STATS_RL(1,cg2d_x,'cg2d_x (SOLVE_FOR_PRESSURE)', |
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& myThid) |
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ENDIF |
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#endif |
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|
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C- dump CG2D output at monitorFreq (to reduce size of STD-OUTPUT files) : |
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IF ( DIFFERENT_MULTIPLE(monitorFreq,myTime,deltaTClock) |
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& ) THEN |
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IF ( debugLevel .GE. debLevA ) THEN |
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_BEGIN_MASTER( myThid ) |
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WRITE(msgBuf,'(A34,1PE24.14)') 'cg2d_init_res =',firstResidual |
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CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
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WRITE(msgBuf,'(A34,I6)') 'cg2d_iters =',numIters |
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CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
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WRITE(msgBuf,'(A34,1PE24.14)') 'cg2d_res =',lastResidual |
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CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
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_END_MASTER( myThid ) |
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ENDIF |
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ENDIF |
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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 |
| 336 |
ENDIF |
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#endif /* ALLOW_OBCS */ |
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|
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K=1 |
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DO j=1,sNy |
| 341 |
DO i=1,sNx |
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cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 343 |
& +drF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
| 344 |
& -drF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j) |
| 345 |
& +drF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
| 346 |
& -drF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j ) |
| 347 |
& +( freeSurfFac*etaN(i,j,bi,bj)/deltaTMom |
| 348 |
& -wVel(i,j,k+1,bi,bj) |
| 349 |
& )*_rA(i,j,bi,bj)/deltaTmom |
| 350 |
ENDDO |
| 351 |
ENDDO |
| 352 |
DO K=2,Nr-1 |
| 353 |
DO j=1,sNy |
| 354 |
DO i=1,sNx |
| 355 |
cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 356 |
& +drF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
| 357 |
& -drF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j) |
| 358 |
& +drF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
| 359 |
& -drF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j ) |
| 360 |
& +( wVel(i,j,k ,bi,bj) |
| 361 |
& -wVel(i,j,k+1,bi,bj) |
| 362 |
& )*_rA(i,j,bi,bj)/deltaTmom |
| 363 |
|
| 364 |
ENDDO |
| 365 |
ENDDO |
| 366 |
ENDDO |
| 367 |
K=Nr |
| 368 |
DO j=1,sNy |
| 369 |
DO i=1,sNx |
| 370 |
cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 371 |
& +drF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
| 372 |
& -drF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j) |
| 373 |
& +drF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
| 374 |
& -drF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j ) |
| 375 |
& +( wVel(i,j,k ,bi,bj) |
| 376 |
& )*_rA(i,j,bi,bj)/deltaTmom |
| 377 |
|
| 378 |
ENDDO |
| 379 |
ENDDO |
| 380 |
|
| 381 |
#ifdef ALLOW_OBCS |
| 382 |
IF (useOBCS) THEN |
| 383 |
DO K=1,Nr |
| 384 |
DO i=1,sNx |
| 385 |
C Northern boundary |
| 386 |
IF (OB_Jn(I,bi,bj).NE.0) THEN |
| 387 |
cg3d_b(I,OB_Jn(I,bi,bj),K,bi,bj)=0. |
| 388 |
ENDIF |
| 389 |
C Southern boundary |
| 390 |
IF (OB_Js(I,bi,bj).NE.0) THEN |
| 391 |
cg3d_b(I,OB_Js(I,bi,bj),K,bi,bj)=0. |
| 392 |
ENDIF |
| 393 |
ENDDO |
| 394 |
DO j=1,sNy |
| 395 |
C Eastern boundary |
| 396 |
IF (OB_Ie(J,bi,bj).NE.0) THEN |
| 397 |
cg3d_b(OB_Ie(J,bi,bj),J,K,bi,bj)=0. |
| 398 |
ENDIF |
| 399 |
C Western boundary |
| 400 |
IF (OB_Iw(J,bi,bj).NE.0) THEN |
| 401 |
cg3d_b(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
| 402 |
ENDIF |
| 403 |
ENDDO |
| 404 |
ENDDO |
| 405 |
ENDIF |
| 406 |
#endif /* ALLOW_OBCS */ |
| 407 |
C- end bi,bj loops |
| 408 |
ENDDO |
| 409 |
ENDDO |
| 410 |
|
| 411 |
firstResidual=0. |
| 412 |
lastResidual=0. |
| 413 |
numIters=cg3dMaxIters |
| 414 |
CALL CG3D( |
| 415 |
U cg3d_b, |
| 416 |
U phi_nh, |
| 417 |
O firstResidual, |
| 418 |
O lastResidual, |
| 419 |
U numIters, |
| 420 |
I myThid ) |
| 421 |
_EXCH_XYZ_R8(phi_nh, myThid ) |
| 422 |
|
| 423 |
IF ( DIFFERENT_MULTIPLE(monitorFreq,myTime,deltaTClock) |
| 424 |
& ) THEN |
| 425 |
IF ( debugLevel .GE. debLevA ) THEN |
| 426 |
_BEGIN_MASTER( myThid ) |
| 427 |
WRITE(msgBuf,'(A34,1PE24.14)') 'cg3d_init_res =',firstResidual |
| 428 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 429 |
WRITE(msgBuf,'(A34,I6)') 'cg3d_iters =',numIters |
| 430 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 431 |
WRITE(msgBuf,'(A34,1PE24.14)') 'cg3d_res =',lastResidual |
| 432 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 433 |
_END_MASTER( myThid ) |
| 434 |
ENDIF |
| 435 |
ENDIF |
| 436 |
|
| 437 |
C-- Update surface pressure (account for NH-p @ surface level) and NH pressure: |
| 438 |
IF ( zeroPsNH ) THEN |
| 439 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 440 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 441 |
|
| 442 |
IF ( usingZCoords ) THEN |
| 443 |
C- Z coordinate: assume surface @ level k=1 |
| 444 |
DO k=2,Nr |
| 445 |
DO j=1-OLy,sNy+OLy |
| 446 |
DO i=1-OLx,sNx+OLx |
| 447 |
phi_nh(i,j,k,bi,bj) = phi_nh(i,j,k,bi,bj) |
| 448 |
& - phi_nh(i,j,1,bi,bj) |
| 449 |
ENDDO |
| 450 |
ENDDO |
| 451 |
ENDDO |
| 452 |
DO j=1-OLy,sNy+OLy |
| 453 |
DO i=1-OLx,sNx+OLx |
| 454 |
etaN(i,j,bi,bj) = recip_Bo(i,j,bi,bj) |
| 455 |
& *(cg2d_x(i,j,bi,bj) + phi_nh(i,j,1,bi,bj)) |
| 456 |
phi_nh(i,j,1,bi,bj) = 0. |
| 457 |
ENDDO |
| 458 |
ENDDO |
| 459 |
ELSE |
| 460 |
C- Other than Z coordinate: no assumption on surface level index |
| 461 |
DO j=1-OLy,sNy+OLy |
| 462 |
DO i=1-OLx,sNx+OLx |
| 463 |
ks = ksurfC(i,j,bi,bj) |
| 464 |
IF ( ks.LE.Nr ) THEN |
| 465 |
etaN(i,j,bi,bj) = recip_Bo(i,j,bi,bj) |
| 466 |
& *(cg2d_x(i,j,bi,bj) + phi_nh(i,j,ks,bi,bj)) |
| 467 |
DO k=Nr,1,-1 |
| 468 |
phi_nh(i,j,k,bi,bj) = phi_nh(i,j,k,bi,bj) |
| 469 |
& - phi_nh(i,j,ks,bi,bj) |
| 470 |
ENDDO |
| 471 |
ENDIF |
| 472 |
ENDDO |
| 473 |
ENDDO |
| 474 |
ENDIF |
| 475 |
|
| 476 |
ENDDO |
| 477 |
ENDDO |
| 478 |
ENDIF |
| 479 |
|
| 480 |
ENDIF |
| 481 |
#endif /* ALLOW_NONHYDROSTATIC */ |
| 482 |
|
| 483 |
#ifdef TIME_PER_TIMESTEP |
| 484 |
CCE107 Time per timestep information |
| 485 |
_BEGIN_MASTER( myThid ) |
| 486 |
CALL TIMER_GET_TIME( utnew, stnew, wtnew ) |
| 487 |
C Only output timing information after the 1st timestep |
| 488 |
IF ( wtold .NE. 0.0D0 ) THEN |
| 489 |
WRITE(msgBuf,'(A34,3F10.6)') |
| 490 |
$ 'User, system and wallclock time:', utnew - utold, |
| 491 |
$ stnew - stold, wtnew - wtold |
| 492 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 493 |
ENDIF |
| 494 |
utold = utnew |
| 495 |
stold = stnew |
| 496 |
wtold = wtnew |
| 497 |
_END_MASTER( myThid ) |
| 498 |
#endif |
| 499 |
|
| 500 |
RETURN |
| 501 |
END |
| 502 |
|
| 503 |
#ifdef TIME_PER_TIMESTEP |
| 504 |
CCE107 Initialization of common block for per timestep timing |
| 505 |
BLOCK DATA settimers |
| 506 |
C !TIMING VARIABLES |
| 507 |
C == Timing variables == |
| 508 |
REAL*8 utnew, utold, stnew, stold, wtnew, wtold |
| 509 |
COMMON /timevars/ utnew, utold, stnew, stold, wtnew, wtold |
| 510 |
DATA utnew, utold, stnew, stold, wtnew, wtold /6*0.0D0/ |
| 511 |
END |
| 512 |
#endif |
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