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C $Header: /u/gcmpack/MITgcm/model/src/ini_cg3d.F,v 1.19 2005/12/20 20:31:28 jmc Exp $ |
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C $Name: $ |
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|
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#include "PACKAGES_CONFIG.h" |
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#include "CPP_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: INI_CG3D |
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C !INTERFACE: |
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SUBROUTINE INI_CG3D( myThid ) |
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C !DESCRIPTION: \bv |
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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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C \ev |
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|
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C !USES: |
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IMPLICIT NONE |
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C === Global variables === |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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#include "SURFACE.h" |
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#include "CG3D.h" |
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#include "SOLVE_FOR_PRESSURE3D.h" |
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#ifdef ALLOW_OBCS |
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#include "OBCS.h" |
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#endif |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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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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|
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#ifdef ALLOW_NONHYDROSTATIC |
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|
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C !LOCAL VARIABLES: |
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C === Local variables === |
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C bi,bj - Loop counters |
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C I,J,K - Loop counters |
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C faceArea - Temporary used to hold cell face areas. |
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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, ks |
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_RL faceArea |
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_RS myNorm |
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_RL theRecip_Dr |
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_RL aU, aL, aW, aE, aN, aS, aC |
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_RL tmpFac, nh_Fac, igwFac |
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CEOP |
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|
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CcnhDebugStarts |
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c _RL phi(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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CcnhDebugEnds |
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|
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C-- Initialise to zero over the full range of indices |
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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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C- From common bloc CG3D_R: |
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DO J=1-OLy,sNy+OLy |
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DO I=1-OLx,sNx+OLx |
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aW3d(I,J,K,bi,bj) = 0. |
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aS3d(I,J,K,bi,bj) = 0. |
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aV3d(I,J,K,bi,bj) = 0. |
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aC3d(I,J,K,bi,bj) = 0. |
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zMC (I,J,K,bi,bj) = 0. |
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zML (I,J,K,bi,bj) = 0. |
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zMU (I,J,K,bi,bj) = 0. |
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ENDDO |
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ENDDO |
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C- From common bloc CG3D_WK_R: |
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DO J=0,sNy+1 |
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DO I=0,sNx+1 |
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cg3d_q(I,J,K,bi,bj) = 0. |
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cg3d_r(I,J,K,bi,bj) = 0. |
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cg3d_s(I,J,K,bi,bj) = 0. |
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ENDDO |
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ENDDO |
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C- From common bloc SFP3D_COMMON_R: |
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DO J=1-OLy,sNy+OLy |
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DO I=1-OLx,sNx+OLx |
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cg3d_b(I,J,K,bi,bj) = 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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ENDDO |
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|
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nh_Fac = 0. |
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igwFac = 0. |
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IF ( nonHydrostatic |
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& .AND. nh_Am2.NE.0. ) nh_Fac = 1. _d 0 / nh_Am2 |
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IF ( implicitIntGravWave ) igwFac = 1. _d 0 |
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|
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IF ( use3Dsolver ) THEN |
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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+1 |
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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) = faceArea*recip_dxC(I,J,bi,bj) |
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myNorm = MAX(ABS(aW3d(I,J,K,bi,bj)),myNorm) |
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ENDDO |
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ENDDO |
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DO J=1,sNy+1 |
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DO I=1,sNx |
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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) = faceArea*recip_dyC(I,J,bi,bj) |
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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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tmpFac = nh_Fac*recip_horiVertRatio*recip_horiVertRatio |
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& + igwFac*dBdrRef(k)*deltaTMom*dTtracerLev(k) |
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IF (tmpFac.GT.0. ) tmpFac = 1. _d 0 / tmpFac |
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DO J=1,sNy |
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DO I=1,sNx |
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faceArea = _rA(I,J,bi,bj)*maskC(I,J, K ,bi,bj) |
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& *maskC(I,J,K-1,bi,bj) |
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theRecip_Dr = recip_drC(K) |
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c theRecip_Dr = |
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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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c IF ( theRecip_Dr .NE. 0. ) |
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c & theRecip_Dr = 1. _d 0/theRecip_Dr |
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aV3d(I,J,K,bi,bj) = faceArea*theRecip_Dr*tmpFac |
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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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#ifdef ALLOW_OBCS |
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IF ( useOBCS ) THEN |
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DO K=1,Nr |
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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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aV3d(I,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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aV3d(I,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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aV3d(OB_Ie(J,bi,bj),J,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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aV3d(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
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ENDIF |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif |
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ENDDO |
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ENDDO |
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_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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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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C- Set solver main diagonal term |
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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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aU = aV3d(I,J,K,bi,bj) |
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IF ( K .NE. Nr ) THEN |
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aL = aV3d(I,J,K+1,bi,bj) |
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ELSE |
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aL = 0. |
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ENDIF |
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aC3d(I,J,K,bi,bj) = -aW-aE-aN-aS-aU-aL |
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ENDDO |
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ENDDO |
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ENDDO |
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C- Add free-surface source term |
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DO J=1,sNy |
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DO I=1,sNx |
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ks = ksurfC(I,J,bi,bj) |
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IF ( ks.LE.Nr ) THEN |
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aC3d(I,J,ks,bi,bj) = aC3d(I,J,ks,bi,bj) |
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& -freeSurfFac*recip_Bo(I,J,bi,bj) |
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& *rA(I,J,bi,bj)/deltaTMom/deltaTfreesurf |
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ENDIF |
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ENDDO |
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ENDDO |
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C- Matrix solver normalisation |
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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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aC3d(I,J,K,bi,bj) = aC3d(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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|
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C-- Update overlap regions |
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c _EXCH_XYZ_R4(aW3d, myThid) |
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c _EXCH_XYZ_R4(aS3d, myThid) |
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CALL EXCH_UV_XYZ_RS(aW3d,aS3d,.FALSE.,myThid) |
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_EXCH_XYZ_R4(aV3d, myThid) |
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_EXCH_XYZ_R4(aC3d, 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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|
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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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IF ( aC3d(I,J,K,bi,bj) .NE. 0. ) THEN |
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zMC(i,j,k,bi,bj) = aC3d(I,J,K,bi,bj) |
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zML(i,j,k,bi,bj) = aV3d(I,J,K,bi,bj) |
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zMU(i,j,k,bi,bj) = 0. |
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IF ( K.NE.Nr ) |
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& zMU(i,j,k,bi,bj) = aV3d(I,J,K+1,bi,bj) |
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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 |
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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. |
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zML(i,j,k,bi,bj) = 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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DO J=1,sNy |
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DO I=1,sNx |
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zMC(i,j,1,bi,bj)= |
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& 1. _d 0 / zMC(i,j,1,bi,bj) |
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zMU(i,j,1,bi,bj)= |
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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 |
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DO J=1,sNy |
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DO I=1,sNx |
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zMC(i,j,k,bi,bj) = 1. _d 0 / |
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& (zMC(i,j,k,bi,bj)-zML(i,j,k,bi,bj)*zMU(i,j,k-1,bi,bj)) |
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zMU(i,j,k,bi,bj)=zMU(i,j,k,bi,bj)*zMC(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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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-1,bi,bj) |
| 322 |
ELSE |
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aU = 0. |
| 324 |
ENDIF |
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IF ( K .NE. Nr ) THEN |
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aL = aV3d(I,J,K+1,bi,bj) |
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ELSE |
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aL = 0. |
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ENDIF |
| 330 |
aC = -aW-aE-aN-aS-aU-aL |
| 331 |
IF ( aC .EQ. 0. ) THEN |
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zMC(i,j,k,bi,bj) = 1. |
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zML(i,j,k,bi,bj) = 0. |
| 334 |
zMU(i,j,k,bi,bj) = 0. |
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CcnhDebugStarts |
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C ELSE |
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C zMC(i,j,k,bi,bj) = 1. |
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C zML(i,j,k,bi,bj) = 0. |
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C zMU(i,j,k,bi,bj) = 0. |
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CcnhDEbugEnds |
| 341 |
ENDIF |
| 342 |
ENDDO |
| 343 |
ENDDO |
| 344 |
ENDDO |
| 345 |
ENDDO |
| 346 |
ENDDO |
| 347 |
C-- Update overlap regions |
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_EXCH_XYZ_R4(zMC, myThid) |
| 349 |
_EXCH_XYZ_R4(zML, myThid) |
| 350 |
_EXCH_XYZ_R4(zMU, myThid) |
| 351 |
|
| 352 |
CcnhDebugStarts |
| 353 |
c DO k=1,Nr |
| 354 |
c DO j=1-OLy,sNy+OLy |
| 355 |
c DO i=1-OLx,sNx+OLx |
| 356 |
c phi(i,j,1,1) = zMc(i,j,k,1,1) |
| 357 |
c ENDDO |
| 358 |
c ENDDO |
| 359 |
C CALL PLOT_FIELD_XYRS( phi, 'zMC INI_CG3D.1' , 1, myThid ) |
| 360 |
c ENDDO |
| 361 |
C CALL PLOT_FIELD_XYRS( zMU, 'zMU INI_CG3D.1' , Nr, 1, myThid ) |
| 362 |
C CALL PLOT_FIELD_XYRS( zML, 'zML INI_CG3D.1' , Nr, 1, myThid ) |
| 363 |
CcnhDebugEnds |
| 364 |
|
| 365 |
C-- end if (use3Dsolver) |
| 366 |
ENDIF |
| 367 |
|
| 368 |
#endif /* ALLOW_NONHYDROSTATIC */ |
| 369 |
|
| 370 |
RETURN |
| 371 |
END |
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