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C $Header$ |
C $Header$ |
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C $Name$ |
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#include "CPP_OPTIONS.h" |
#include "CPP_OPTIONS.h" |
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CStartOfInterface |
CBOP |
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C !ROUTINE: INI_CG2D |
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C !INTERFACE: |
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SUBROUTINE INI_CG2D( myThid ) |
SUBROUTINE INI_CG2D( myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE INI_CG2D | |
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C | o Initialise 2d 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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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE INI_CG2D |
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C | o Initialise 2d 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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C \ev |
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C !USES: |
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IMPLICIT NONE |
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C === Global variables === |
C === Global variables === |
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#include "SIZE.h" |
#include "SIZE.h" |
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#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
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#include "PARAMS.h" |
#include "PARAMS.h" |
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#include "GRID.h" |
#include "GRID.h" |
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#include "DYNVARS.h" |
c#include "DYNVARS.h" |
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#include "SURFACE.h" |
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#include "CG2D.h" |
#include "CG2D.h" |
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#ifdef ALLOW_OBCS |
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#include "OBCS.h" |
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#endif |
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C !INPUT/OUTPUT PARAMETERS: |
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C === Routine arguments === |
C === Routine arguments === |
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C myThid - Thread no. that called this routine. |
C myThid - Thread no. that called this routine. |
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INTEGER myThid |
INTEGER myThid |
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CEndOfInterface |
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C !LOCAL VARIABLES: |
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C === Local variables === |
C === Local variables === |
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C xG, yG - Global coordinate location. |
C xG, yG - Global coordinate location. |
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C zG |
C zG |
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C bi,bj - Loop counters |
C bi,bj - Loop counters |
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C faceArea - Temporary used to hold cell face areas. |
C faceArea - Temporary used to hold cell face areas. |
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C I,J,K |
C I,J,K |
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C myNorm - Work variable used in clculating normalisation factor |
C myNorm - Work variable used in calculating normalisation factor |
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C sumArea - Work variable used to compute the total Domain Area |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
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INTEGER bi, bj |
INTEGER bi, bj |
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INTEGER I, J, K |
INTEGER I, J, K |
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_RL faceArea |
_RL faceArea |
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_RL myNorm |
_RS myNorm |
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_RL sumArea |
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_RL aC, aCw, aCs |
_RL aC, aCw, aCs |
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CEOP |
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C-- Initialize arrays in common blocs (CG2D.h) ; not really necessary |
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C but safer when EXCH do not fill all the overlap regions. |
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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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aW2d(I,J,bi,bj) = 0. _d 0 |
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aS2d(I,J,bi,bj) = 0. _d 0 |
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pW(I,J,bi,bj) = 0. _d 0 |
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pS(I,J,bi,bj) = 0. _d 0 |
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pC(I,J,bi,bj) = 0. _d 0 |
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cg2d_q(I,J,bi,bj) = 0. _d 0 |
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ENDDO |
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ENDDO |
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DO J=1-1,sNy+1 |
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DO I=1-1,sNx+1 |
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cg2d_r(I,J,bi,bj) = 0. _d 0 |
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cg2d_s(I,J,bi,bj) = 0. _d 0 |
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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-- Initialise laplace operator |
C-- Initialise laplace operator |
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C aW2d: integral in Z Ax/dX |
C aW2d: integral in Z Ax/dX |
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aS2d(I,J,bi,bj) = 0. _d 0 |
aS2d(I,J,bi,bj) = 0. _d 0 |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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DO K=1,Nz |
DO K=1,Nr |
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DO J=1,sNy |
DO J=1,sNy |
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DO I=1,sNx |
DO I=1,sNx |
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faceArea = _dyG(I,J,bi,bj)*dzF(K)*_hFacW(I,J,K,bi,bj) |
faceArea = _dyG(I,J,bi,bj)*drF(K) |
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& *_hFacW(I,J,K,bi,bj) |
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aW2d(I,J,bi,bj) = aW2d(I,J,bi,bj) + |
aW2d(I,J,bi,bj) = aW2d(I,J,bi,bj) + |
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& gBaro*faceArea*_rdxC(I,J,bi,bj) |
& implicSurfPress*implicDiv2DFlow |
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faceArea = _dxG(I,J,bi,bj)*dzF(K)*_hFacS(I,J,K,bi,bj) |
& *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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aS2d(I,J,bi,bj) = aS2d(I,J,bi,bj) + |
aS2d(I,J,bi,bj) = aS2d(I,J,bi,bj) + |
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& gBaro*faceArea*_rdyC(I,J,bi,bj) |
& implicSurfPress*implicDiv2DFlow |
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& *faceArea*recip_dyC(I,J,bi,bj) |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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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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IF (OB_Jn(I,bi,bj).NE.0) aS2d(I,OB_Jn(I,bi,bj),bi,bj)=0. |
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IF (OB_Jn(I,bi,bj).NE.0) aS2d(I,OB_Jn(I,bi,bj)+1,bi,bj)=0. |
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IF (OB_Js(I,bi,bj).NE.0) aS2d(I,OB_Js(I,bi,bj)+1,bi,bj)=0. |
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IF (OB_Js(I,bi,bj).NE.0) aS2d(I,OB_Js(I,bi,bj),bi,bj)=0. |
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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) aW2d(OB_Ie(J,bi,bj),J,bi,bj)=0. |
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IF (OB_Ie(J,bi,bj).NE.0) aW2d(OB_Ie(J,bi,bj)+1,J,bi,bj)=0. |
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IF (OB_Iw(J,bi,bj).NE.0) aW2d(OB_Iw(J,bi,bj)+1,J,bi,bj)=0. |
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IF (OB_Iw(J,bi,bj).NE.0) aW2d(OB_Iw(J,bi,bj),J,bi,bj)=0. |
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ENDDO |
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ENDIF |
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#endif |
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DO J=1,sNy |
DO J=1,sNy |
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DO I=1,sNx |
DO I=1,sNx |
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myNorm = MAX(ABS(aW2d(I,J,bi,bj)),myNorm) |
myNorm = MAX(ABS(aW2d(I,J,bi,bj)),myNorm) |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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cg2dNbuf(1,myThid) = myNorm |
_GLOBAL_MAX_R4( myNorm, myThid ) |
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_GLOBAL_MAX_R8( cg2dNbuf, myNorm, myThid ) |
IF ( myNorm .NE. 0. _d 0 ) THEN |
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IF ( cg2dNbuf(1,1) .NE. 0. _d 0 ) THEN |
myNorm = 1. _d 0/myNorm |
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myNorm = 1. _d 0/cg2dNbuf(1,1) |
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ELSE |
ELSE |
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myNorm = 1. _d 0 |
myNorm = 1. _d 0 |
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ENDIF |
ENDIF |
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cg2dNorm = myNorm |
cg2dNorm = myNorm |
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_BEGIN_MASTER( myThid ) |
_BEGIN_MASTER( myThid ) |
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CcnhDebugStarts |
CcnhDebugStarts |
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WRITE(msgBuf,'(A,F)') '// CG2D normalisation factor = ', cg2dNorm |
WRITE(msgBuf,'(A,E40.25)') '// CG2D normalisation factor = ', |
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& cg2dNorm |
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CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
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WRITE(msgBuf,*) ' ' |
WRITE(msgBuf,*) ' ' |
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CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
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C-- Update overlap regions |
C-- Update overlap regions |
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CcnhDebugStarts |
CcnhDebugStarts |
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C CALL PLOT_FIELD_XYR8( aW2d, 'AW2D INI_CG2D.1' , 1, myThid ) |
C CALL PLOT_FIELD_XYRS( aW2d, 'AW2D INI_CG2D.1' , 1, myThid ) |
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C CALL PLOT_FIELD_XYR8( aS2d, 'AS2D INI_CG2D.1' , 1, myThid ) |
C CALL PLOT_FIELD_XYRS( aS2d, 'AS2D INI_CG2D.1' , 1, myThid ) |
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CcnhDebugEnds |
CcnhDebugEnds |
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_EXCH_XY_R4(aW2d, myThid) |
c _EXCH_XY_R4(aW2d, myThid) |
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_EXCH_XY_R4(aS2d, myThid) |
c _EXCH_XY_R4(aS2d, myThid) |
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CALL EXCH_UV_XY_RS(aW2d,aS2d,.FALSE.,myThid) |
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CcnhDebugStarts |
CcnhDebugStarts |
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C CALL PLOT_FIELD_XYR8( aW2d, 'AW2D INI_CG2D.2' , 1, myThid ) |
C CALL PLOT_FIELD_XYRS( aW2d, 'AW2D INI_CG2D.2' , 1, myThid ) |
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C CALL PLOT_FIELD_XYR8( aS2d, 'AS2D INI_CG2D.2' , 1, myThid ) |
C CALL PLOT_FIELD_XYRS( aS2d, 'AS2D INI_CG2D.2' , 1, myThid ) |
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CcnhDebugEnds |
CcnhDebugEnds |
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C-- Define the solver tolerance in the appropriate Unit : |
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cg2dNormaliseRHS = cg2dTargetResWunit.LE.0 |
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IF (cg2dNormaliseRHS) THEN |
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C- when using a normalisation of RHS, tolerance has no unit => no conversion |
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cg2dTolerance = cg2dTargetResidual |
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ELSE |
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C- compute the total Area of the domain : |
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sumArea = 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,sNy |
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DO i=1,sNx |
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IF (Ro_surf(i,j,bi,bj).GT.R_low(i,j,bi,bj)) THEN |
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sumArea = sumArea + rA(i,j,bi,bj) |
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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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c WRITE(*,*) ' mythid, sumArea = ', mythid, sumArea |
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_GLOBAL_SUM_R8( sumArea, myThid ) |
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C- convert Target-Residual (in W unit) to cg2d-solver residual unit [m^2/s^2] |
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cg2dTolerance = cg2dNorm * cg2dTargetResWunit |
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& * sumArea / deltaTMom |
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WRITE(*,'(2A,1P2E22.14)') ' ini_cg2d: ', |
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& 'sumArea,cg2dTolerance =', sumArea,cg2dTolerance |
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ENDIF |
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C-- Initialise preconditioner |
C-- Initialise preconditioner |
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C Note. 20th May 1998 |
C Note. 20th May 1998 |
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C I made a weird discovery! In the model paper we argue |
C I made a weird discovery! In the model paper we argue |
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pC(I,J,bi,bj) = 1. _d 0 |
pC(I,J,bi,bj) = 1. _d 0 |
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aC = -( |
aC = -( |
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& aW2d(I,J,bi,bj) + aW2d(I+1,J ,bi,bj) |
& aW2d(I,J,bi,bj) + aW2d(I+1,J ,bi,bj) |
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& +aS2d(I,J,bi,bj) + aS2D(I ,J+1,bi,bj) |
& +aS2d(I,J,bi,bj) + aS2d(I ,J+1,bi,bj) |
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& +freeSurfFac*myNorm* |
& +freeSurfFac*myNorm*recip_Bo(I,J,bi,bj)* |
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& zA(I,J,bi,bj)/deltaTMom/deltaTMom |
& rA(I,J,bi,bj)/deltaTMom/deltaTMom |
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& ) |
& ) |
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aCs = -( |
aCs = -( |
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& aW2d(I,J-1,bi,bj) + aW2d(I+1,J-1,bi,bj) |
& aW2d(I,J-1,bi,bj) + aW2d(I+1,J-1,bi,bj) |
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& +aS2d(I,J-1,bi,bj) + aS2d(I ,J ,bi,bj) |
& +aS2d(I,J-1,bi,bj) + aS2d(I ,J ,bi,bj) |
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& +freeSurfFac*myNorm* |
& +freeSurfFac*myNorm*recip_Bo(I,J-1,bi,bj)* |
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& zA(I,J-1,bi,bj)/deltaTMom/deltaTMom |
& rA(I,J-1,bi,bj)/deltaTMom/deltaTMom |
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& ) |
& ) |
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aCw = -( |
aCw = -( |
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& aW2d(I-1,J,bi,bj) + aW2d(I ,J ,bi,bj) |
& aW2d(I-1,J,bi,bj) + aW2d(I ,J ,bi,bj) |
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& +aS2d(I-1,J,bi,bj) + aS2d(I-1,J+1,bi,bj) |
& +aS2d(I-1,J,bi,bj) + aS2d(I-1,J+1,bi,bj) |
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& +freeSurfFac*myNorm* |
& +freeSurfFac*myNorm*recip_Bo(I-1,J,bi,bj)* |
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& zA(I-1,J,bi,bj)/deltaTMom/deltaTMom |
& rA(I-1,J,bi,bj)/deltaTMom/deltaTMom |
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& ) |
& ) |
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IF ( aC .EQ. 0. ) THEN |
IF ( aC .EQ. 0. ) THEN |
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pC(I,J,bi,bj) = 0. _d 0 |
pC(I,J,bi,bj) = 1. _d 0 |
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ELSE |
ELSE |
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pC(I,J,bi,bj) = 1. _d 0 / aC |
pC(I,J,bi,bj) = 1. _d 0 / aC |
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ENDIF |
ENDIF |
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ENDDO |
ENDDO |
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C-- Update overlap regions |
C-- Update overlap regions |
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_EXCH_XY_R4(pC, myThid) |
_EXCH_XY_R4(pC, myThid) |
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_EXCH_XY_R4(pW, myThid) |
c _EXCH_XY_R4(pW, myThid) |
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_EXCH_XY_R4(pS, myThid) |
c _EXCH_XY_R4(pS, myThid) |
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CALL EXCH_UV_XY_RS(pW,pS,.FALSE.,myThid) |
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C-- Set default values for initial guess and RHS |
CcnhDebugStarts |
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IF ( startTime .EQ. 0 ) THEN |
C CALL PLOT_FIELD_XYRS( pC, 'pC INI_CG2D.2' , 1, myThid ) |
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DO bj=myByLo(myThid),myByHi(myThid) |
C CALL PLOT_FIELD_XYRS( pW, 'pW INI_CG2D.2' , 1, myThid ) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
C CALL PLOT_FIELD_XYRS( pS, 'pS INI_CG2D.2' , 1, myThid ) |
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DO J=1,sNy |
CcnhDebugEnds |
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DO I=1,sNx |
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cg2d_x(I,J,bi,bj) = 0. _d 0 |
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cg2d_b(I,J,bi,bj) = 0. _d 0 |
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#ifdef ALLOW_CD |
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cg2d_xNM1(I,J,bi,bj) = 0. _d 0 |
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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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C-- Update overlap regions |
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_EXCH_XY_R8(cg2d_x, myThid) |
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_EXCH_XY_R8(cg2d_b, myThid) |
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#ifdef ALLOW_CD |
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_EXCH_XY_R8(cg2d_xNM1, myThid) |
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#endif |
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ENDIF |
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RETURN |
RETURN |
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END |
END |