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C $Header: /u/gcmpack/MITgcm/model/src/solve_for_pressure.F,v 1.82 2016/05/28 23:25:55 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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|
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C === Functions ==== |
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LOGICAL DIFFERENT_MULTIPLE |
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EXTERNAL DIFFERENT_MULTIPLE |
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#ifdef ALLOW_DIAGNOSTICS |
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LOGICAL DIAGNOSTICS_IS_ON |
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EXTERNAL DIAGNOSTICS_IS_ON |
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#endif /* ALLOW_DIAGNOSTICS */ |
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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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INTEGER ks |
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INTEGER numIters, nIterMin |
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_RL firstResidual, minResidualSq, lastResidual |
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_RL tmpFac |
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_RL sumEmP, tileEmP(nSx,nSy) |
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LOGICAL putPmEinXvector |
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INTEGER ioUnit |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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#ifdef ALLOW_NONHYDROSTATIC |
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LOGICAL zeroPsNH, zeroMeanPnh, oldFreeSurfTerm |
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#else |
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_RL cg3d_b(1) |
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#endif |
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#ifdef ALLOW_DIAGNOSTICS |
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CHARACTER*8 diagName |
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_RL tmpVar (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#endif /* ALLOW_DIAGNOSTICS */ |
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CEOP |
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|
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#ifdef ALLOW_NONHYDROSTATIC |
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zeroPsNH = .FALSE. |
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c zeroPsNH = use3Dsolver .AND. exactConserv |
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c & .AND. select_rStar.EQ.0 |
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zeroMeanPnh = .FALSE. |
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c zeroMeanPnh = use3Dsolver .AND. select_rStar.NE.0 |
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c oldFreeSurfTerm = use3Dsolver .AND. select_rStar.EQ.0 |
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c & .AND. .NOT.zeroPsNH |
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oldFreeSurfTerm = use3Dsolver .AND. .NOT.exactConserv |
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#else |
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cg3d_b(1) = 0. |
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#endif |
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|
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C deepAtmosphere & useRealFreshWaterFlux: only valid if deepFac2F(ksurf)=1 |
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C anelastic (always Z-coordinate): |
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C 1) assume that rhoFacF(1)=1 (and ksurf == 1); |
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C (this reduces the number of lines of code to modify) |
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C 2) (a) 2-D continuity eq. compute div. of mass transport (<- add rhoFac) |
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C (b) gradient of surf.Press in momentum eq. (<- add 1/rhoFac) |
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C => 2 factors cancel in elliptic eq. for Phi_s , |
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C but 1rst factor(a) remains in RHS cg2d_b. |
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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.AND.fluidIsWater |
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|
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IF ( myIter.EQ.1+nIter0 .AND. debugLevel .GE. debLevA ) THEN |
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_BEGIN_MASTER( myThid ) |
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ioUnit = standardMessageUnit |
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WRITE(msgBuf,'(2A,L5)') 'SOLVE_FOR_PRESSURE:', |
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& ' putPmEinXvector =', putPmEinXvector |
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CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
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#ifdef ALLOW_NONHYDROSTATIC |
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WRITE(msgBuf,'(A,2(A,L5))') 'SOLVE_FOR_PRESSURE:', |
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& ' zeroPsNH=', zeroPsNH, ' , zeroMeanPnh=', zeroMeanPnh |
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CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
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WRITE(msgBuf,'(2A,L5)') 'SOLVE_FOR_PRESSURE:', |
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& ' oldFreeSurfTerm =', oldFreeSurfTerm |
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CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
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#endif |
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_END_MASTER( myThid ) |
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ENDIF |
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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.AND.fluidIsWater) THEN |
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tmpFac = freeSurfFac*mass2rUnit*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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& *maskInC(i,j,bi,bj) |
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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(bi,bj) = 0. |
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DO j=1,sNy |
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DO i=1,sNx |
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tileEmP(bi,bj) = tileEmP(bi,bj) |
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& + rA(i,j,bi,bj)*EmPmR(i,j,bi,bj) |
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& *maskInC(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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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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CALL GLOBAL_SUM_TILE_RL( tileEmP, 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 = |
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& freeSurfFac*deltaTFreeSurf*mass2rUnit*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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C- RHS: similar to the divergence of the vertically integrated mass transport: |
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C del_i { Sum_k [ rhoFac.(dr.hFac).(dy.deepFac).(u*) ] } / deltaT |
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DO k=Nr,1,-1 |
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CALL CALC_DIV_GHAT( |
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I bi,bj,k, |
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U cg2d_b, cg3d_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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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 ( oldFreeSurfTerm ) THEN |
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C-- Add source term arising from w=d/dt (p_s + p_nh) |
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DO j=1,sNy |
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DO i=1,sNx |
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ks = kSurfC(i,j,bi,bj) |
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IF ( ks.LE.Nr ) THEN |
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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)*deepFac2F(ks) |
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& /deltaTMom/deltaTFreeSurf |
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& *( etaN(i,j,bi,bj) |
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& +phi_nh(i,j,ks,bi,bj)*recip_Bo(i,j,bi,bj) ) |
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cg3d_b(i,j,ks,bi,bj) = cg3d_b(i,j,ks,bi,bj) |
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& -freeSurfFac*_rA(i,j,bi,bj)*deepFac2F(ks) |
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& /deltaTMom/deltaTFreeSurf |
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& *( etaN(i,j,bi,bj) |
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& +phi_nh(i,j,ks,bi,bj)*recip_Bo(i,j,bi,bj) ) |
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ENDIF |
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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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C-- Add source term arising from w=d/dt (p_s) |
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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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ks = kSurfC(i,j,bi,bj) |
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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)*deepFac2F(ks) |
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& /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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ks = kSurfC(i,j,bi,bj) |
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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)*deepFac2F(ks) |
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& /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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C- Note: solver matrix is trivial outside OB region (main diagonal only) |
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C => no real need to reset RHS (=cg2d_b) & cg2d_x, except that: |
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C a) normalisation is fct of Max(RHS), which can be large ouside OB region |
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C (would be different if we were solving for increment of eta/g |
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C instead of directly for eta/g). |
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C => need to reset RHS to ensure that interior solution does not depend |
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C on ouside OB region. |
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C b) provide directly the trivial solution cg2d_x == 0 for outside OB region |
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C (=> no residual => no effect on solver convergence and interior solution) |
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IF (useOBCS) 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)*maskInC(i,j,bi,bj) |
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cg2d_x(i,j,bi,bj) = cg2d_x(i,j,bi,bj)*maskInC(i,j,bi,bj) |
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ENDDO |
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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. debLevD ) 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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IF ( DIFFERENT_MULTIPLE(diagFreq, myTime, deltaTClock) ) THEN |
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CALL WRITE_FLD_XY_RL( 'cg2d_b', 'I10', cg2d_b, myIter, myThid ) |
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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. See CG2D.h for the interface to this routine. |
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C In rare cases of a poor solver convergence, better to select the |
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C solver minimum-residual solution (instead of the last-iter solution) |
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C by setting cg2dUseMinResSol=1 (<-> nIterMin=0 in input) |
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numIters = cg2dMaxIters |
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nIterMin = cg2dUseMinResSol - 1 |
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c CALL TIMER_START('CG2D [SOLVE_FOR_PRESSURE]',myThid) |
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#ifdef DISCONNECTED_TILES |
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C-- Call the not-self-adjoint version of cg2d |
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CALL CG2D_EX0( |
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U cg2d_b, cg2d_x, |
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O firstResidual, minResidualSq, lastResidual, |
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U numIters, nIterMin, |
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I myThid ) |
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#else /* not DISCONNECTED_TILES = default */ |
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#ifdef ALLOW_CG2D_NSA |
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C-- Call the not-self-adjoint version of cg2d |
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CALL CG2D_NSA( |
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U cg2d_b, cg2d_x, |
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O firstResidual, minResidualSq, lastResidual, |
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U numIters, nIterMin, |
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I myThid ) |
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#else /* not ALLOW_CG2D_NSA = default */ |
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#ifdef ALLOW_SRCG |
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IF ( useSRCGSolver ) THEN |
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C-- Call the single reduce CG solver |
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CALL CG2D_SR( |
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U cg2d_b, cg2d_x, |
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O firstResidual, minResidualSq, lastResidual, |
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U numIters, nIterMin, |
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I myThid ) |
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ELSE |
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#else |
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IF (.TRUE.) THEN |
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C-- Call the default CG solver |
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#endif /* ALLOW_SRCG */ |
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CALL CG2D( |
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U cg2d_b, cg2d_x, |
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O firstResidual, minResidualSq, lastResidual, |
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U numIters, nIterMin, |
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I myThid ) |
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ENDIF |
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#endif /* ALLOW_CG2D_NSA */ |
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#endif /* DISCONNECTED_TILES */ |
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_EXCH_XY_RL( cg2d_x, myThid ) |
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c CALL TIMER_STOP ('CG2D [SOLVE_FOR_PRESSURE]',myThid) |
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|
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#ifdef ALLOW_DEBUG |
| 316 |
IF ( debugLevel .GE. debLevD ) 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,'(A20,1PE23.14)') 'cg2d_init_res =',firstResidual |
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CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
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WRITE(msgBuf,'(A27,2I8)') |
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& 'cg2d_iters(min,last) =', nIterMin, numIters |
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CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 332 |
IF ( minResidualSq.GE.0. ) THEN |
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minResidualSq = SQRT(minResidualSq) |
| 334 |
WRITE(msgBuf,'(A20,1PE23.14)') 'cg2d_min_res =',minResidualSq |
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CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 336 |
ENDIF |
| 337 |
WRITE(msgBuf,'(A20,1PE23.14)') 'cg2d_last_res =',lastResidual |
| 338 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 339 |
_END_MASTER( myThid ) |
| 340 |
ENDIF |
| 341 |
ENDIF |
| 342 |
|
| 343 |
#ifdef ALLOW_DIAGNOSTICS |
| 344 |
C-- Fill diagnostics |
| 345 |
IF ( useDiagnostics .AND. implicSurfPress.NE.oneRL ) THEN |
| 346 |
diagName = 'PHI_SURF' |
| 347 |
IF ( DIAGNOSTICS_IS_ON(diagName,myThid) ) THEN |
| 348 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 349 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 350 |
DO j=1-OLy,sNy+OLy |
| 351 |
DO i=1-OLx,sNx+OLx |
| 352 |
tmpVar(i,j) = implicSurfPress * cg2d_x(i,j,bi,bj) |
| 353 |
& + (oneRL - implicSurfPress)* Bo_surf(i,j,bi,bj) |
| 354 |
& * etaN(i,j,bi,bj) |
| 355 |
ENDDO |
| 356 |
ENDDO |
| 357 |
CALL DIAGNOSTICS_FILL( tmpVar,diagName,1,1,2,bi,bj,myThid ) |
| 358 |
ENDDO |
| 359 |
ENDDO |
| 360 |
ENDIF |
| 361 |
ELSEIF ( useDiagnostics ) THEN |
| 362 |
CALL DIAGNOSTICS_FILL( cg2d_x,'PHI_SURF', 0,1, 0,1,1, myThid ) |
| 363 |
ENDIF |
| 364 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 365 |
|
| 366 |
C-- Transfert the 2D-solution to "etaN" : |
| 367 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 368 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 369 |
DO j=1-OLy,sNy+OLy |
| 370 |
DO i=1-OLx,sNx+OLx |
| 371 |
etaN(i,j,bi,bj) = recip_Bo(i,j,bi,bj)*cg2d_x(i,j,bi,bj) |
| 372 |
ENDDO |
| 373 |
ENDDO |
| 374 |
ENDDO |
| 375 |
ENDDO |
| 376 |
|
| 377 |
#ifdef ALLOW_NONHYDROSTATIC |
| 378 |
IF ( use3Dsolver ) THEN |
| 379 |
IF ( DIFFERENT_MULTIPLE(diagFreq, myTime, deltaTClock) ) THEN |
| 380 |
CALL WRITE_FLD_XY_RL( 'cg2d_x','I10', cg2d_x, myIter, myThid ) |
| 381 |
ENDIF |
| 382 |
|
| 383 |
C-- Solve for a three-dimensional pressure term (NH or IGW or both ). |
| 384 |
C see CG3D.h for the interface to this routine. |
| 385 |
|
| 386 |
C-- Finish updating cg3d_b: 1) Add EmPmR contribution to top level cg3d_b: |
| 387 |
C 2) Update or Add free-surface contribution |
| 388 |
C 3) increment in horiz velocity due to new cg2d_x |
| 389 |
C 4) add vertical velocity contribution. |
| 390 |
CALL PRE_CG3D( |
| 391 |
I oldFreeSurfTerm, |
| 392 |
I cg2d_x, |
| 393 |
U cg3d_b, |
| 394 |
I myTime, myIter, myThid ) |
| 395 |
|
| 396 |
#ifdef ALLOW_DEBUG |
| 397 |
IF ( debugLevel .GE. debLevD ) THEN |
| 398 |
CALL DEBUG_STATS_RL(Nr,cg3d_b,'cg3d_b (SOLVE_FOR_PRESSURE)', |
| 399 |
& myThid) |
| 400 |
ENDIF |
| 401 |
#endif |
| 402 |
IF ( DIFFERENT_MULTIPLE( diagFreq, myTime, deltaTClock) ) THEN |
| 403 |
CALL WRITE_FLD_XYZ_RL('cg3d_b','I10', cg3d_b, myIter,myThid ) |
| 404 |
ENDIF |
| 405 |
|
| 406 |
firstResidual=0. |
| 407 |
lastResidual=0. |
| 408 |
numIters=cg3dMaxIters |
| 409 |
CALL TIMER_START('CG3D [SOLVE_FOR_PRESSURE]',myThid) |
| 410 |
#ifdef DISCONNECTED_TILES |
| 411 |
CALL CG3D_EX0( |
| 412 |
U cg3d_b, phi_nh, |
| 413 |
O firstResidual, lastResidual, |
| 414 |
U numIters, |
| 415 |
I myIter, myThid ) |
| 416 |
#else /* not DISCONNECTED_TILES = default */ |
| 417 |
CALL CG3D( |
| 418 |
U cg3d_b, phi_nh, |
| 419 |
O firstResidual, lastResidual, |
| 420 |
U numIters, |
| 421 |
I myIter, myThid ) |
| 422 |
#endif /* DISCONNECTED_TILES */ |
| 423 |
_EXCH_XYZ_RL( phi_nh, myThid ) |
| 424 |
CALL TIMER_STOP ('CG3D [SOLVE_FOR_PRESSURE]',myThid) |
| 425 |
|
| 426 |
IF ( DIFFERENT_MULTIPLE(monitorFreq,myTime,deltaTClock) |
| 427 |
& ) THEN |
| 428 |
IF ( debugLevel .GE. debLevA ) THEN |
| 429 |
_BEGIN_MASTER( myThid ) |
| 430 |
WRITE(msgBuf,'(A20,1PE23.14)') 'cg3d_init_res =',firstResidual |
| 431 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 432 |
WRITE(msgBuf,'(A27,I16)') 'cg3d_iters (last) = ',numIters |
| 433 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 434 |
WRITE(msgBuf,'(A20,1PE23.14)') 'cg3d_last_res =',lastResidual |
| 435 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 436 |
_END_MASTER( myThid ) |
| 437 |
ENDIF |
| 438 |
ENDIF |
| 439 |
|
| 440 |
C-- Separate the Hydrostatic Surface Pressure adjusment (=> put it in dPhiNH) |
| 441 |
C from the Non-hydrostatic pressure (since cg3d_x contains both contribution) |
| 442 |
IF ( nonHydrostatic .AND. exactConserv ) THEN |
| 443 |
IF ( DIFFERENT_MULTIPLE( diagFreq, myTime, deltaTClock) ) THEN |
| 444 |
CALL WRITE_FLD_XYZ_RL('cg3d_x','I10', phi_nh, myIter,myThid ) |
| 445 |
ENDIF |
| 446 |
CALL POST_CG3D( |
| 447 |
I zeroPsNH, zeroMeanPnh, |
| 448 |
I myTime, myIter, myThid ) |
| 449 |
ENDIF |
| 450 |
|
| 451 |
ENDIF |
| 452 |
#endif /* ALLOW_NONHYDROSTATIC */ |
| 453 |
|
| 454 |
#ifdef ALLOW_SHOWFLOPS |
| 455 |
CALL SHOWFLOPS_INSOLVE( myThid) |
| 456 |
#endif |
| 457 |
|
| 458 |
RETURN |
| 459 |
END |
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