| 1 |
adcroft |
1.35 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/ini_cg2d.F,v 1.34 2001/05/29 14:01:37 adcroft Exp $ |
| 2 |
jmc |
1.30 |
C $Name: $ |
| 3 |
cnh |
1.1 |
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| 4 |
adcroft |
1.13 |
#include "CPP_OPTIONS.h" |
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cnh |
1.1 |
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| 6 |
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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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adcroft |
1.23 |
IMPLICIT NONE |
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cnh |
1.1 |
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| 16 |
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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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adcroft |
1.34 |
c#include "DYNVARS.h" |
| 22 |
jmc |
1.31 |
#include "SURFACE.h" |
| 23 |
adcroft |
1.34 |
#include "CG2D.h" |
| 24 |
adcroft |
1.26 |
#ifdef ALLOW_OBCS |
| 25 |
adcroft |
1.22 |
#include "OBCS.h" |
| 26 |
adcroft |
1.26 |
#endif |
| 27 |
cnh |
1.1 |
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| 28 |
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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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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 |
| 39 |
adcroft |
1.34 |
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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cnh |
1.1 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
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INTEGER bi, bj |
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INTEGER I, J, K |
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cnh |
1.7 |
_RL faceArea |
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cnh |
1.15 |
_RS myNorm |
| 46 |
adcroft |
1.34 |
_RL sumArea |
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cnh |
1.4 |
_RL aC, aCw, aCs |
| 48 |
cnh |
1.1 |
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jmc |
1.31 |
C-- Initialise -Boyancy at surface level : Bo_surf |
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C Bo_surf is defined as d/dr(Phi_surf) and set to g/rtoz (linear free surface) |
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C with rtoz = conversion factor from r-unit to z-unit (=horiVertRatio) |
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C an acurate formulation will include P_surf and T,S_surf effects on rho_surf: |
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C z-ocean (rtoz=1) : Bo_surf = - Boyancy = gravity * rho_surf/rho_0 |
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C p-atmos (rtoz=rho_c*g) : Bo_surf = (1/rho)_surf |
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C-- |
| 56 |
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IF ( buoyancyRelation .EQ. 'ATMOSPHERIC' ) THEN |
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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 |
| 60 |
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DO I=1-Olx,sNx+Olx |
| 61 |
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Bo_surf(I,J,bi,bj) = recip_rhoConst |
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recip_Bo(I,J,bi,bj) = rhoConst |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
| 67 |
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ELSE |
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jmc |
1.33 |
C- gBaro = gravity (except for External mode test with reduced gravity) |
| 69 |
jmc |
1.31 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 70 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 71 |
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DO J=1-Oly,sNy+Oly |
| 72 |
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DO I=1-Olx,sNx+Olx |
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jmc |
1.33 |
Bo_surf(I,J,bi,bj) = gBaro |
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recip_Bo(I,J,bi,bj) = 1. _d 0 / gBaro |
| 75 |
jmc |
1.31 |
ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDIF |
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C-- Update overlap regions |
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_EXCH_XY_R8(Bo_surf, myThid) |
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_EXCH_XY_R8(recip_Bo, myThid) |
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| 85 |
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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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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ENDDO |
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ENDDO |
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cnh |
1.17 |
DO K=1,Nr |
| 98 |
cnh |
1.1 |
DO J=1,sNy |
| 99 |
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DO I=1,sNx |
| 100 |
cnh |
1.20 |
faceArea = _dyG(I,J,bi,bj)*drF(K) |
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& *_hFacW(I,J,K,bi,bj) |
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cnh |
1.1 |
aW2d(I,J,bi,bj) = aW2d(I,J,bi,bj) + |
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jmc |
1.32 |
& implicSurfPress*implicDiv2DFlow |
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& *faceArea*recip_dxC(I,J,bi,bj) |
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cnh |
1.20 |
faceArea = _dxG(I,J,bi,bj)*drF(K) |
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& *_hFacS(I,J,K,bi,bj) |
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cnh |
1.1 |
aS2d(I,J,bi,bj) = aS2d(I,J,bi,bj) + |
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jmc |
1.32 |
& implicSurfPress*implicDiv2DFlow |
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& *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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adcroft |
1.22 |
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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adcroft |
1.26 |
#endif |
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cnh |
1.1 |
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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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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adcroft |
1.25 |
_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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cnh |
1.1 |
ELSE |
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myNorm = 1. _d 0 |
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ENDIF |
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cnh |
1.5 |
cg2dNorm = myNorm |
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cnh |
1.1 |
_BEGIN_MASTER( myThid ) |
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CcnhDebugStarts |
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cnh |
1.20 |
WRITE(msgBuf,'(A,E40.25)') '// CG2D normalisation factor = ', |
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& cg2dNorm |
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cnh |
1.3 |
CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
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WRITE(msgBuf,*) ' ' |
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cnh |
1.1 |
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) |
| 155 |
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DO J=1,sNy |
| 156 |
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DO I=1,sNx |
| 157 |
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aW2d(I,J,bi,bj) = aW2d(I,J,bi,bj)*myNorm |
| 158 |
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aS2d(I,J,bi,bj) = aS2d(I,J,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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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 ) |
| 168 |
cnh |
1.1 |
CcnhDebugEnds |
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adcroft |
1.34 |
c _EXCH_XY_R4(aW2d, myThid) |
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c _EXCH_XY_R4(aS2d, myThid) |
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CALL EXCH_UV_XY_RS(aW2d,aS2d,.FALSE.,myThid) |
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cnh |
1.1 |
CcnhDebugStarts |
| 173 |
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 ) |
| 175 |
cnh |
1.1 |
CcnhDebugEnds |
| 176 |
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| 177 |
adcroft |
1.34 |
C-- Define the solver tolerance in the appropriate Unit : |
| 178 |
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cg2dNormaliseRHS = cg2dTargetResWunit.LE.0 |
| 179 |
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IF (cg2dNormaliseRHS) THEN |
| 180 |
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C- when using a normalisation of RHS, tolerance has no unit => no conversion |
| 181 |
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cg2dTolerance = cg2dTargetResidual |
| 182 |
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ELSE |
| 183 |
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C- compute the total Area of the domain : |
| 184 |
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sumArea = 0. |
| 185 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 186 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 187 |
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DO j=1,sNy |
| 188 |
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DO i=1,sNx |
| 189 |
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IF (Ro_surf(i,j,bi,bj).GT.R_low(i,j,bi,bj)) THEN |
| 190 |
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sumArea = sumArea + rA(i,j,bi,bj) |
| 191 |
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ENDIF |
| 192 |
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ENDDO |
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ENDDO |
| 194 |
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ENDDO |
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ENDDO |
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adcroft |
1.35 |
c WRITE(*,*) ' mythid, sumArea = ', mythid, sumArea |
| 197 |
adcroft |
1.34 |
_GLOBAL_SUM_R8( sumArea, myThid ) |
| 198 |
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C- convert Target-Residual (in W unit) to cg2d-solver residual unit [m^2/s^2] |
| 199 |
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cg2dTolerance = cg2dNorm * cg2dTargetResWunit |
| 200 |
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& * sumArea / deltaTMom |
| 201 |
adcroft |
1.35 |
WRITE(*,'(2A,1P2E22.14)') ' ini_cg2d: ', |
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adcroft |
1.34 |
& 'sumArea,cg2dTolerance =', sumArea,cg2dTolerance |
| 203 |
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ENDIF |
| 204 |
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| 205 |
cnh |
1.1 |
C-- Initialise preconditioner |
| 206 |
cnh |
1.4 |
C Note. 20th May 1998 |
| 207 |
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C I made a weird discovery! In the model paper we argue |
| 208 |
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C for the form of the preconditioner used here ( see |
| 209 |
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C A Finite-volume, Incompressible Navier-Stokes Model |
| 210 |
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C ...., Marshall et. al ). The algebra gives a simple |
| 211 |
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C 0.5 factor for the averaging of ac and aCw to get a |
| 212 |
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C symmettric pre-conditioner. By using a factor of 0.51 |
| 213 |
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C i.e. scaling the off-diagonal terms in the |
| 214 |
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C preconditioner down slightly I managed to get the |
| 215 |
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C number of iterations for convergence in a test case to |
| 216 |
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C drop form 192 -> 134! Need to investigate this further! |
| 217 |
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C For now I have introduced a parameter cg2dpcOffDFac which |
| 218 |
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C defaults to 0.51 but can be set at runtime. |
| 219 |
cnh |
1.1 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 220 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 221 |
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DO J=1,sNy |
| 222 |
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DO I=1,sNx |
| 223 |
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pC(I,J,bi,bj) = 1. _d 0 |
| 224 |
cnh |
1.4 |
aC = -( |
| 225 |
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& aW2d(I,J,bi,bj) + aW2d(I+1,J ,bi,bj) |
| 226 |
adcroft |
1.24 |
& +aS2d(I,J,bi,bj) + aS2d(I ,J+1,bi,bj) |
| 227 |
jmc |
1.32 |
& +freeSurfFac*myNorm*recip_Bo(I,J,bi,bj)* |
| 228 |
cnh |
1.17 |
& rA(I,J,bi,bj)/deltaTMom/deltaTMom |
| 229 |
cnh |
1.4 |
& ) |
| 230 |
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aCs = -( |
| 231 |
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& aW2d(I,J-1,bi,bj) + aW2d(I+1,J-1,bi,bj) |
| 232 |
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& +aS2d(I,J-1,bi,bj) + aS2d(I ,J ,bi,bj) |
| 233 |
jmc |
1.32 |
& +freeSurfFac*myNorm*recip_Bo(I,J-1,bi,bj)* |
| 234 |
cnh |
1.17 |
& rA(I,J-1,bi,bj)/deltaTMom/deltaTMom |
| 235 |
cnh |
1.4 |
& ) |
| 236 |
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aCw = -( |
| 237 |
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& aW2d(I-1,J,bi,bj) + aW2d(I ,J ,bi,bj) |
| 238 |
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& +aS2d(I-1,J,bi,bj) + aS2d(I-1,J+1,bi,bj) |
| 239 |
jmc |
1.32 |
& +freeSurfFac*myNorm*recip_Bo(I-1,J,bi,bj)* |
| 240 |
cnh |
1.17 |
& rA(I-1,J,bi,bj)/deltaTMom/deltaTMom |
| 241 |
cnh |
1.4 |
& ) |
| 242 |
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IF ( aC .EQ. 0. ) THEN |
| 243 |
adcroft |
1.27 |
pC(I,J,bi,bj) = 1. _d 0 |
| 244 |
cnh |
1.4 |
ELSE |
| 245 |
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pC(I,J,bi,bj) = 1. _d 0 / aC |
| 246 |
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ENDIF |
| 247 |
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IF ( aC + aCw .EQ. 0. ) THEN |
| 248 |
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pW(I,J,bi,bj) = 0. |
| 249 |
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ELSE |
| 250 |
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pW(I,J,bi,bj) = |
| 251 |
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& -aW2d(I ,J ,bi,bj)/((cg2dpcOffDFac *(aCw+aC))**2 ) |
| 252 |
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ENDIF |
| 253 |
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IF ( aC + aCs .EQ. 0. ) THEN |
| 254 |
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pS(I,J,bi,bj) = 0. |
| 255 |
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ELSE |
| 256 |
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pS(I,J,bi,bj) = |
| 257 |
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& -aS2d(I ,J ,bi,bj)/((cg2dpcOffDFac *(aCs+aC))**2 ) |
| 258 |
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ENDIF |
| 259 |
cnh |
1.6 |
C pC(I,J,bi,bj) = 1. |
| 260 |
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C pW(I,J,bi,bj) = 0. |
| 261 |
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C pS(I,J,bi,bj) = 0. |
| 262 |
cnh |
1.1 |
ENDDO |
| 263 |
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ENDDO |
| 264 |
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ENDDO |
| 265 |
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ENDDO |
| 266 |
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C-- Update overlap regions |
| 267 |
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_EXCH_XY_R4(pC, myThid) |
| 268 |
adcroft |
1.34 |
c _EXCH_XY_R4(pW, myThid) |
| 269 |
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c _EXCH_XY_R4(pS, myThid) |
| 270 |
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CALL EXCH_UV_XY_RS(pW,pS,.FALSE.,myThid) |
| 271 |
cnh |
1.18 |
CcnhDebugStarts |
| 272 |
adcroft |
1.24 |
C CALL PLOT_FIELD_XYRS( pC, 'pC INI_CG2D.2' , 1, myThid ) |
| 273 |
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C CALL PLOT_FIELD_XYRS( pW, 'pW INI_CG2D.2' , 1, myThid ) |
| 274 |
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C CALL PLOT_FIELD_XYRS( pS, 'pS INI_CG2D.2' , 1, myThid ) |
| 275 |
cnh |
1.18 |
CcnhDebugEnds |
| 276 |
cnh |
1.1 |
|
| 277 |
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RETURN |
| 278 |
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END |
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