| 1 |
jmc |
1.49 |
C $Header: /u/gcmpack/MITgcm/model/src/ini_cg2d.F,v 1.48 2009/11/23 16:15:54 mlosch Exp $ |
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jmc |
1.30 |
C $Name: $ |
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cnh |
1.1 |
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edhill |
1.42 |
#include "PACKAGES_CONFIG.h" |
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adcroft |
1.13 |
#include "CPP_OPTIONS.h" |
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cnh |
1.1 |
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| 7 |
cnh |
1.37 |
CBOP |
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C !ROUTINE: INI_CG2D |
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C !INTERFACE: |
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cnh |
1.1 |
SUBROUTINE INI_CG2D( myThid ) |
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cnh |
1.37 |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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jmc |
1.47 |
C | SUBROUTINE INI_CG2D |
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C | o Initialise 2d conjugate gradient solver operators. |
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cnh |
1.37 |
C *==========================================================* |
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jmc |
1.47 |
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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cnh |
1.37 |
C *==========================================================* |
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C \ev |
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C !USES: |
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adcroft |
1.23 |
IMPLICIT NONE |
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cnh |
1.1 |
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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jmc |
1.31 |
#include "SURFACE.h" |
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adcroft |
1.34 |
#include "CG2D.h" |
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adcroft |
1.26 |
#ifdef ALLOW_OBCS |
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adcroft |
1.22 |
#include "OBCS.h" |
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adcroft |
1.26 |
#endif |
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cnh |
1.1 |
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cnh |
1.37 |
C !INPUT/OUTPUT PARAMETERS: |
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cnh |
1.1 |
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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cnh |
1.37 |
C !LOCAL VARIABLES: |
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cnh |
1.1 |
C === Local variables === |
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jmc |
1.45 |
C bi,bj :: tile indices |
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jmc |
1.49 |
C i,j,k :: Loop counters |
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cnh |
1.1 |
C faceArea - Temporary used to hold cell face areas. |
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adcroft |
1.34 |
C myNorm - Work variable used in calculating normalisation factor |
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jmc |
1.45 |
C sumArea - Work variable used to compute the total Domain Area |
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cnh |
1.1 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
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INTEGER bi, bj |
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jmc |
1.49 |
INTEGER i, j, k, ks |
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cnh |
1.7 |
_RL faceArea |
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cnh |
1.15 |
_RS myNorm |
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jmc |
1.45 |
_RS aC, aCw, aCs |
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cnh |
1.37 |
CEOP |
| 54 |
jmc |
1.38 |
|
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jmc |
1.45 |
C-- Initialize arrays in common blocs (CG2D.h) ; not really necessary |
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jmc |
1.38 |
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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jmc |
1.49 |
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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aC2d(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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jmc |
1.38 |
ENDDO |
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ENDDO |
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jmc |
1.49 |
DO j=1-1,sNy+1 |
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DO i=1-1,sNx+1 |
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cg2d_q(i,j,bi,bj) = 0. _d 0 |
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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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jmc |
1.47 |
#ifdef ALLOW_CG2D_NSA |
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jmc |
1.49 |
cg2d_z(i,j,bi,bj) = 0. _d 0 |
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jmc |
1.47 |
#endif /* ALLOW_CG2D_NSA */ |
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mlosch |
1.48 |
#ifdef ALLOW_SRCG |
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jmc |
1.49 |
cg2d_y(i,j,bi,bj) = 0. _d 0 |
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cg2d_v(i,j,bi,bj) = 0. _d 0 |
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mlosch |
1.48 |
#endif /* ALLOW_SRCG */ |
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jmc |
1.38 |
ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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jmc |
1.31 |
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cnh |
1.1 |
C-- Initialise laplace operator |
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C aW2d: integral in Z Ax/dX |
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C aS2d: integral in Z Ay/dY |
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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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jmc |
1.49 |
DO j=1,sNy |
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DO i=1,sNx |
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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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cnh |
1.1 |
ENDDO |
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ENDDO |
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jmc |
1.49 |
DO k=1,Nr |
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DO j=1,sNy |
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DO i=1,sNx |
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jmc |
1.45 |
C deep-model: *deepFacC (faceArea), /deepFacC (recip_dx,y): => no net effect |
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jmc |
1.49 |
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) |
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jmc |
1.45 |
& + implicSurfPress*implicDiv2DFlow |
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jmc |
1.49 |
& *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) |
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jmc |
1.45 |
& + implicSurfPress*implicDiv2DFlow |
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jmc |
1.49 |
& *faceArea*recip_dyC(i,j,bi,bj) |
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cnh |
1.1 |
ENDDO |
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ENDDO |
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ENDDO |
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adcroft |
1.26 |
#ifdef ALLOW_OBCS |
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adcroft |
1.28 |
IF (useOBCS) THEN |
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jmc |
1.49 |
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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adcroft |
1.22 |
ENDDO |
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jmc |
1.49 |
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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adcroft |
1.22 |
ENDDO |
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ENDIF |
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adcroft |
1.26 |
#endif |
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jmc |
1.49 |
DO j=1,sNy |
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DO i=1,sNx |
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myNorm = MAX(ABS(aW2d(i,j,bi,bj)),myNorm) |
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myNorm = MAX(ABS(aS2d(i,j,bi,bj)),myNorm) |
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cnh |
1.1 |
ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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jmc |
1.46 |
_GLOBAL_MAX_RS( myNorm, myThid ) |
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adcroft |
1.25 |
IF ( myNorm .NE. 0. _d 0 ) THEN |
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myNorm = 1. _d 0/myNorm |
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cnh |
1.1 |
ELSE |
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myNorm = 1. _d 0 |
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ENDIF |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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jmc |
1.49 |
DO j=1,sNy |
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DO i=1,sNx |
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aW2d(i,j,bi,bj) = aW2d(i,j,bi,bj)*myNorm |
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aS2d(i,j,bi,bj) = aS2d(i,j,bi,bj)*myNorm |
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cnh |
1.1 |
ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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jmc |
1.45 |
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cnh |
1.1 |
C-- Update overlap regions |
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CcnhDebugStarts |
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cnh |
1.14 |
C CALL PLOT_FIELD_XYRS( aW2d, 'AW2D INI_CG2D.1' , 1, myThid ) |
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C CALL PLOT_FIELD_XYRS( aS2d, 'AS2D INI_CG2D.1' , 1, myThid ) |
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cnh |
1.1 |
CcnhDebugEnds |
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jmc |
1.47 |
CALL EXCH_UV_XY_RS( aW2d, aS2d, .FALSE., myThid ) |
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cnh |
1.1 |
CcnhDebugStarts |
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adcroft |
1.24 |
C CALL PLOT_FIELD_XYRS( aW2d, 'AW2D INI_CG2D.2' , 1, myThid ) |
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C CALL PLOT_FIELD_XYRS( aS2d, 'AS2D INI_CG2D.2' , 1, myThid ) |
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cnh |
1.1 |
CcnhDebugEnds |
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jmc |
1.44 |
_BEGIN_MASTER(myThid) |
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C-- set global parameter in common block: |
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cg2dNorm = myNorm |
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adcroft |
1.34 |
C-- Define the solver tolerance in the appropriate Unit : |
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jmc |
1.43 |
cg2dNormaliseRHS = cg2dTargetResWunit.LE.0. |
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adcroft |
1.34 |
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- 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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jmc |
1.43 |
& * globalArea / deltaTmom |
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adcroft |
1.34 |
ENDIF |
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jmc |
1.44 |
_END_MASTER(myThid) |
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jmc |
1.43 |
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CcnhDebugStarts |
| 183 |
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_BEGIN_MASTER( myThid ) |
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WRITE(msgBuf,'(2A,1PE23.16)') 'INI_CG2D: ', |
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& 'CG2D normalisation factor = ', cg2dNorm |
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CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
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IF (.NOT.cg2dNormaliseRHS) THEN |
| 188 |
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WRITE(msgBuf,'(2A,1PE22.15,A,1PE16.10,A)') 'INI_CG2D: ', |
| 189 |
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& 'cg2dTolerance =', cg2dTolerance, ' (Area=',globalArea,')' |
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CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 191 |
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ENDIF |
| 192 |
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WRITE(msgBuf,*) ' ' |
| 193 |
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CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 194 |
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_END_MASTER( myThid ) |
| 195 |
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CcnhDebugEnds |
| 196 |
jmc |
1.45 |
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| 197 |
cnh |
1.1 |
C-- Initialise preconditioner |
| 198 |
cnh |
1.4 |
C Note. 20th May 1998 |
| 199 |
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C I made a weird discovery! In the model paper we argue |
| 200 |
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C for the form of the preconditioner used here ( see |
| 201 |
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C A Finite-volume, Incompressible Navier-Stokes Model |
| 202 |
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C ...., Marshall et. al ). The algebra gives a simple |
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C 0.5 factor for the averaging of ac and aCw to get a |
| 204 |
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C symmettric pre-conditioner. By using a factor of 0.51 |
| 205 |
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C i.e. scaling the off-diagonal terms in the |
| 206 |
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C preconditioner down slightly I managed to get the |
| 207 |
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C number of iterations for convergence in a test case to |
| 208 |
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C drop form 192 -> 134! Need to investigate this further! |
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C For now I have introduced a parameter cg2dpcOffDFac which |
| 210 |
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C defaults to 0.51 but can be set at runtime. |
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cnh |
1.1 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 212 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 213 |
jmc |
1.49 |
C- calculate and store solver main diagonal : |
| 214 |
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DO j=0,sNy+1 |
| 215 |
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DO i=0,sNx+1 |
| 216 |
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ks = ksurfC(i,j,bi,bj) |
| 217 |
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aC2d(i,j,bi,bj) = -( |
| 218 |
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& aW2d(i,j,bi,bj) + aW2d(i+1,j, bi,bj) |
| 219 |
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& +aS2d(i,j,bi,bj) + aS2d( i,j+1,bi,bj) |
| 220 |
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& +freeSurfFac*myNorm*recip_Bo(i,j,bi,bj)*deepFac2F(ks) |
| 221 |
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& *rA(i,j,bi,bj)/deltaTMom/deltaTfreesurf |
| 222 |
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& ) |
| 223 |
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ENDDO |
| 224 |
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ENDDO |
| 225 |
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DO j=1,sNy |
| 226 |
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DO i=1,sNx |
| 227 |
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aC = aC2d( i, j, bi,bj) |
| 228 |
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aCs = aC2d( i,j-1,bi,bj) |
| 229 |
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aCw = aC2d(i-1,j, bi,bj) |
| 230 |
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IF ( aC .EQ. 0. ) THEN |
| 231 |
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pC(i,j,bi,bj) = 1. _d 0 |
| 232 |
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ELSE |
| 233 |
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pC(i,j,bi,bj) = 1. _d 0 / aC |
| 234 |
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ENDIF |
| 235 |
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IF ( aC + aCw .EQ. 0. ) THEN |
| 236 |
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pW(i,j,bi,bj) = 0. |
| 237 |
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ELSE |
| 238 |
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pW(i,j,bi,bj) = |
| 239 |
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& -aW2d(i,j,bi,bj)/((cg2dpcOffDFac *(aCw+aC))**2 ) |
| 240 |
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ENDIF |
| 241 |
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IF ( aC + aCs .EQ. 0. ) THEN |
| 242 |
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pS(i,j,bi,bj) = 0. |
| 243 |
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ELSE |
| 244 |
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pS(i,j,bi,bj) = |
| 245 |
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& -aS2d(i,j,bi,bj)/((cg2dpcOffDFac *(aCs+aC))**2 ) |
| 246 |
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ENDIF |
| 247 |
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C pC(i,j,bi,bj) = 1. |
| 248 |
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C pW(i,j,bi,bj) = 0. |
| 249 |
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C pS(i,j,bi,bj) = 0. |
| 250 |
cnh |
1.1 |
ENDDO |
| 251 |
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ENDDO |
| 252 |
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ENDDO |
| 253 |
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ENDDO |
| 254 |
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C-- Update overlap regions |
| 255 |
jmc |
1.47 |
CALL EXCH_XY_RS( pC, myThid ) |
| 256 |
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CALL EXCH_UV_XY_RS( pW, pS, .FALSE., myThid ) |
| 257 |
cnh |
1.18 |
CcnhDebugStarts |
| 258 |
adcroft |
1.24 |
C CALL PLOT_FIELD_XYRS( pC, 'pC INI_CG2D.2' , 1, myThid ) |
| 259 |
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C CALL PLOT_FIELD_XYRS( pW, 'pW INI_CG2D.2' , 1, myThid ) |
| 260 |
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C CALL PLOT_FIELD_XYRS( pS, 'pS INI_CG2D.2' , 1, myThid ) |
| 261 |
cnh |
1.18 |
CcnhDebugEnds |
| 262 |
cnh |
1.1 |
|
| 263 |
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RETURN |
| 264 |
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END |
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