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adcroft |
1.4 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/ini_cg3d.F,v 1.3 1999/05/24 15:15:11 adcroft Exp $ |
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adcroft |
1.1 |
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#include "CPP_OPTIONS.h" |
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CStartOfInterface |
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SUBROUTINE INI_CG3D( myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE INI_CG3D | |
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C | o Initialise 3d conjugate gradient solver operators. | |
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C |==========================================================| |
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C | These arrays are purely a function of the basin geom. | |
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C | We set then here once and them use then repeatedly. | |
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C \==========================================================/ |
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adcroft |
1.3 |
IMPLICIT NONE |
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adcroft |
1.1 |
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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 "DYNVARS.h" |
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#include "CG3D.h" |
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adcroft |
1.4 |
#ifdef ALLOW_OBCS |
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adcroft |
1.1 |
#include "OBCS.h" |
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adcroft |
1.4 |
#endif |
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adcroft |
1.1 |
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C === Routine arguments === |
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C myThid - Thread no. that called this routine. |
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INTEGER myThid |
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CEndOfInterface |
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C === Local variables === |
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C xG, yG - Global coordinate location. |
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C zG |
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C iG, jG - Global coordinate index |
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C bi,bj - Loop counters |
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C faceArea - Temporary used to hold cell face areas. |
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C I,J,K |
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C myNorm - Work variable used in clculating normalisation factor |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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INTEGER bi, bj |
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INTEGER I, J, K |
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_RL faceArea |
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_RS myNorm |
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_RL aCw, aCs |
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_RL theRecip_Dr |
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_RL aU, aL, aW, aE, aN, aS, aC |
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CcnhDebugStarts |
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_RL phi(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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CcnhDebugEnds |
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#ifdef ALLOW_NONHYDROSTATIC |
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C-- Initialise laplace operator |
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C aW3d: Ax/dX |
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C aS3d: Ay/dY |
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C aV3d: Ar/dR |
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myNorm = 0. _d 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 K=1,Nr |
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DO J=1,sNy |
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DO I=1,sNx |
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faceArea = _dyG(I,J,bi,bj)*drF(K) |
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& *_hFacW(I,J,K,bi,bj) |
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aW3d(I,J,K,bi,bj) = Gravity*faceArea*recip_dxC(I,J,bi,bj) |
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faceArea = _dxG(I,J,bi,bj)*drF(K) |
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& *_hFacS(I,J,K,bi,bj) |
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aS3d(I,J,K,bi,bj) = Gravity*faceArea*recip_dyC(I,J,bi,bj) |
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myNorm = MAX(ABS(aW3d(I,J,K,bi,bj)),myNorm) |
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myNorm = MAX(ABS(aS3d(I,J,K,bi,bj)),myNorm) |
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ENDDO |
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ENDDO |
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ENDDO |
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DO K=1,1 |
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DO J=1,sNy |
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DO I=1,sNx |
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aV3d(I,J,K,bi,bj) = 0. |
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myNorm = MAX(ABS(aV3d(I,J,K,bi,bj)),myNorm) |
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ENDDO |
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ENDDO |
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ENDDO |
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DO K=2,Nr |
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DO J=1,sNy |
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DO I=1,sNx |
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IF ( _hFacC(i,j,k,bi,bj) .EQ. 0. ) THEN |
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faceArea = 0. |
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ELSE |
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faceArea = _rA(I,J,bi,bj) |
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ENDIF |
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theRecip_Dr = |
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& drC(K) |
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caja & drF(K )*_hFacC(i,j,k ,bi,bj)*0.5 |
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caja & +drF(K-1)*_hFacC(i,j,k-1,bi,bj)*0.5 |
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IF ( theRecip_Dr .NE. 0. ) |
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& theRecip_Dr = 1. _d 0/theRecip_Dr |
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aV3d(I,J,K,bi,bj) = |
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& Gravity*faceArea*theRecip_Dr |
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myNorm = MAX(ABS(aV3d(I,J,K,bi,bj)),myNorm) |
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ENDDO |
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ENDDO |
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adcroft |
1.4 |
#ifdef ALLOW_OBCS |
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adcroft |
1.1 |
IF (openBoundaries) THEN |
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DO I=1,sNx |
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IF (OB_Jn(I,bi,bj).NE.0) THEN |
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aS3d(I,OB_Jn(I,bi,bj),K,bi,bj)=0. |
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aS3d(I,OB_Jn(I,bi,bj)+1,K,bi,bj)=0. |
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aW3d(I,OB_Jn(I,bi,bj),K,bi,bj)=0. |
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aW3d(I+1,OB_Jn(I,bi,bj),K,bi,bj)=0. |
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ENDIF |
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IF (OB_Js(I,bi,bj).NE.0) THEN |
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aS3d(I,OB_Js(I,bi,bj)+1,K,bi,bj)=0. |
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aS3d(I,OB_Js(I,bi,bj),K,bi,bj)=0. |
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aW3d(I,OB_Js(I,bi,bj),K,bi,bj)=0. |
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aW3d(I+1,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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IF (OB_Ie(J,bi,bj).NE.0) THEN |
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aW3d(OB_Ie(J,bi,bj),J,K,bi,bj)=0. |
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aW3d(OB_Ie(J,bi,bj)+1,J,K,bi,bj)=0. |
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aS3d(OB_Ie(J,bi,bj),J,K,bi,bj)=0. |
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aS3d(OB_Ie(J,bi,bj),J+1,K,bi,bj)=0. |
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ENDIF |
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IF (OB_Iw(J,bi,bj).NE.0) THEN |
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aW3d(OB_Iw(J,bi,bj)+1,J,K,bi,bj)=0. |
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aW3d(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
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aS3d(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
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aS3d(OB_Iw(J,bi,bj),J+1,K,bi,bj)=0. |
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ENDIF |
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ENDDO |
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ENDIF |
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adcroft |
1.4 |
#endif |
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adcroft |
1.1 |
ENDDO |
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ENDDO |
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ENDDO |
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adcroft |
1.2 |
_GLOBAL_MAX_R4( myNorm, myThid ) |
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IF ( myNorm .NE. 0. _d 0 ) THEN |
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myNorm = 1. _d 0/myNorm |
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adcroft |
1.1 |
ELSE |
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myNorm = 1. _d 0 |
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ENDIF |
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cg3dNorm = myNorm |
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_BEGIN_MASTER( myThid ) |
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CcnhDebugStarts |
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WRITE(msgBuf,'(A,E40.25)') '// CG3D normalisation factor = ' |
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& , cg3dNorm |
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CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
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WRITE(msgBuf,*) ' ' |
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CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
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CcnhDebugEnds |
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_END_MASTER( myThid ) |
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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=1,Nr |
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DO J=1,sNy |
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DO I=1,sNx |
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aW3d(I,J,K,bi,bj) = aW3d(I,J,K,bi,bj)*myNorm |
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aS3d(I,J,K,bi,bj) = aS3d(I,J,K,bi,bj)*myNorm |
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aV3d(I,J,K,bi,bj) = aV3d(I,J,K,bi,bj)*myNorm |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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C-- Update overlap regions |
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_EXCH_XYZ_R4(aW3d, myThid) |
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_EXCH_XYZ_R4(aS3d, myThid) |
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_EXCH_XYZ_R4(aV3d, myThid) |
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CcnhDebugStarts |
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C CALL PLOT_FIELD_XYZRS( aW3d, 'AW3D INI_CG3D.1' , Nr, 1, myThid ) |
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C CALL PLOT_FIELD_XYZRS( aS3d, 'AS3D INI_CG3D.1' , Nr, 1, myThid ) |
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CcnhDebugEnds |
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C-- Initialise preconditioner |
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C For now PC is just the identity. Change to |
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C be LU factorization of d2/dz2 later. Note |
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C check for consistency with S/R CG3D before |
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C assuming zML is lower and zMU is upper! |
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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=1,Nr |
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DO J=1,sNy |
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DO I=1,sNx |
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aW = aW3d(I ,J,K,bi,bj) |
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aE = aW3d(I+1,J,K,bi,bj) |
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aN = aS3d(I,J+1,K,bi,bj) |
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aS = aS3d(I,J ,K,bi,bj) |
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IF ( K .NE. 1 ) THEN |
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aU = aV3d(I,J,K,bi,bj) |
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ELSE |
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aU = 0 |
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ENDIF |
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IF ( K .NE. Nr ) THEN |
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aL = aV3d(I,J,K+1,bi,bj) |
| 198 |
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ELSE |
| 199 |
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aL = 0 |
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ENDIF |
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aC = -aW-aE-aN-aS-aU-aL |
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IF ( K .EQ. 1 .AND. aC .NE. 0. ) THEN |
| 203 |
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aC = aC |
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& -freeSurfFac*myNorm* horiVertRatio* |
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& rA(I,J,bi,bj)/deltaTMom/deltaTMom |
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ENDIF |
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IF ( aC .NE. 0. ) THEN |
| 208 |
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zMC(i,j,k,bi,bj) = aC |
| 209 |
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zMU(i,j,k,bi,bj) = aL |
| 210 |
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zML(i,j,k,bi,bj) = aU |
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CcnhDebugStarts |
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C zMC(i,j,k,bi,bj) = 1. |
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C zMU(i,j,k,bi,bj) = 0. |
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C zML(i,j,k,bi,bj) = 0. |
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CcnhDebugEnds |
| 216 |
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ELSE |
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zMC(i,j,k,bi,bj) = 1. _d 0 |
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zMU(i,j,k,bi,bj) = 0. |
| 219 |
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zML(i,j,k,bi,bj) = 0. |
| 220 |
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ENDIF |
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ENDDO |
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ENDDO |
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ENDDO |
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DO J=1,sNy |
| 225 |
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DO I=1,sNx |
| 226 |
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zMC(i,j,1,bi,bj)= |
| 227 |
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& 1. _d 0 / zMC(i,j,1,bi,bj) |
| 228 |
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zMU(i,j,1,bi,bj)= |
| 229 |
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& zMU(i,j,1,bi,bj)*zMC(i,j,1,bi,bj) |
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ENDDO |
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ENDDO |
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DO K=2,Nr |
| 233 |
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DO J=1,sNy |
| 234 |
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DO I=1,sNx |
| 235 |
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zMC(i,j,k,bi,bj) = 1. _d 0 / |
| 236 |
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& (zMC(i,j,k,bi,bj)-zML(i,j,k,bi,bj)*zMU(i,j,k-1,bi,bj)) |
| 237 |
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zMU(i,j,k,bi,bj)=zMU(i,j,k,bi,bj)*zMC(i,j,k,bi,bj) |
| 238 |
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ENDDO |
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ENDDO |
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ENDDO |
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DO K=1,Nr |
| 242 |
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DO J=1,sNy |
| 243 |
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DO I=1,sNx |
| 244 |
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aW = aW3d(I ,J,K,bi,bj) |
| 245 |
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aE = aW3d(I+1,J,K,bi,bj) |
| 246 |
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aN = aS3d(I,J+1,K,bi,bj) |
| 247 |
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aS = aS3d(I,J ,K,bi,bj) |
| 248 |
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IF ( K .NE. 1 ) THEN |
| 249 |
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aU = aV3d(I,J,K-1,bi,bj) |
| 250 |
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ELSE |
| 251 |
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aU = 0 |
| 252 |
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ENDIF |
| 253 |
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IF ( K .NE. Nr ) THEN |
| 254 |
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aL = aV3d(I,J,K+1,bi,bj) |
| 255 |
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ELSE |
| 256 |
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aL = 0 |
| 257 |
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ENDIF |
| 258 |
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aC = -aW-aE-aN-aS-aU-aL |
| 259 |
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IF ( aC .EQ. 0. ) THEN |
| 260 |
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zMC(i,j,k,bi,bj) = 0. |
| 261 |
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zML(i,j,k,bi,bj) = 0. |
| 262 |
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zMU(i,j,k,bi,bj) = 0. |
| 263 |
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CcnhDebugStarts |
| 264 |
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C ELSE |
| 265 |
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C zMC(i,j,k,bi,bj) = 1. |
| 266 |
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C zML(i,j,k,bi,bj) = 0. |
| 267 |
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C zMU(i,j,k,bi,bj) = 0. |
| 268 |
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CcnhDEbugEnds |
| 269 |
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ENDIF |
| 270 |
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ENDDO |
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ENDDO |
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ENDDO |
| 273 |
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ENDDO |
| 274 |
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ENDDO |
| 275 |
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C-- Update overlap regions |
| 276 |
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_EXCH_XYZ_R4(zMC, myThid) |
| 277 |
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_EXCH_XYZ_R4(zML, myThid) |
| 278 |
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_EXCH_XYZ_R4(zMU, myThid) |
| 279 |
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| 280 |
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CcnhDebugStarts |
| 281 |
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DO k=1,nr |
| 282 |
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DO j=1-OLy,sNy+OLy |
| 283 |
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DO i=1-OLx,sNx+OLx |
| 284 |
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phi(i,j,1,1) = zMc(i,j,k,1,1) |
| 285 |
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ENDDO |
| 286 |
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ENDDO |
| 287 |
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C CALL PLOT_FIELD_XYRS( phi, 'zMC INI_CG3D.1' , 1, myThid ) |
| 288 |
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ENDDO |
| 289 |
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C CALL PLOT_FIELD_XYRS( zMU, 'zMU INI_CG3D.1' , Nr, 1, myThid ) |
| 290 |
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C CALL PLOT_FIELD_XYRS( zML, 'zML INI_CG3D.1' , Nr, 1, myThid ) |
| 291 |
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CcnhDebugEnds |
| 292 |
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| 293 |
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C-- Set default values for initial guess and RHS |
| 294 |
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IF ( startTime .EQ. 0 ) THEN |
| 295 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 296 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 297 |
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DO K=1,Nr |
| 298 |
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DO J=1-OLy,sNy+OLy |
| 299 |
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DO I=1-OLx,sNx+OLx |
| 300 |
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cg3d_x(I,J,K,bi,bj) = 0. _d 0 |
| 301 |
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cg3d_b(I,J,K,bi,bj) = 0. _d 0 |
| 302 |
adcroft |
1.2 |
#ifdef INCLUDE_CD_CODE |
| 303 |
adcroft |
1.1 |
cg3d_xNM1(I,J,K,bi,bj) = 0. _d 0 |
| 304 |
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#endif |
| 305 |
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ENDDO |
| 306 |
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ENDDO |
| 307 |
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ENDDO |
| 308 |
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ENDDO |
| 309 |
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ENDDO |
| 310 |
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C-- Update overlap regions |
| 311 |
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_EXCH_XYZ_R8(cg3d_x, myThid) |
| 312 |
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_EXCH_XYZ_R8(cg3d_b, myThid) |
| 313 |
adcroft |
1.2 |
#ifdef INCLUDE_CD_CODE |
| 314 |
adcroft |
1.1 |
_EXCH_XYZ_R8(cg3d_xNM1, myThid) |
| 315 |
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#endif |
| 316 |
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|
ENDIF |
| 317 |
|
|
|
| 318 |
|
|
#endif /* ALLOW_NONHYDROSTATIC */ |
| 319 |
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|
|
| 320 |
|
|
RETURN |
| 321 |
|
|
END |
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