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C $Header: /u/gcmpack/MITgcm/model/src/ini_cg3d.F,v 1.25 2009/11/29 03:16:10 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 :: My Thread Id number |
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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 :: tile indices |
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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 |
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_RL tmpFac, nh_Fac, igwFac |
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_RL tmpSurf |
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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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& *implicitNHPress*implicDiv2DFlow |
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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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C deep-model: *deepFacC (faceArea), /deepFacC (recip_dx,y): => no net effect |
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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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& *implicitNHPress*implicDiv2DFlow |
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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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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*rVel2wUnit(k)*rVel2wUnit(k) |
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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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& *deepFac2F(k) |
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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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& *implicitNHPress*implicDiv2DFlow |
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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_RS( 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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|
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_BEGIN_MASTER( myThid ) |
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C-- set global parameter in common block: |
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cg3dNorm = myNorm |
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WRITE(msgBuf,'(2A,1PE23.16)') 'INI_CG3D: ', |
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& 'CG3D normalisation factor = ', cg3dNorm |
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CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
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& SQUEEZE_RIGHT, myThid ) |
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WRITE(msgBuf,*) ' ' |
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CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
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& SQUEEZE_RIGHT, myThid ) |
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_END_MASTER( myThid ) |
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|
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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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IF ( select_rStar .EQ. 0 ) THEN |
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DO j=1,sNy |
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DO i=1,sNx |
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tmpSurf = 1. |
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IF ( selectNHfreeSurf.GE.1 ) THEN |
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tmpSurf = deltaTMom*deltaTfreesurf |
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& *Bo_surf(i,j,bi,bj)*recip_drC(1) |
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& *implicitNHPress*implicDiv2DFlow |
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tmpSurf = tmpSurf / (1. _d 0 + tmpSurf ) |
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ENDIF |
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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)*deepFac2F(ks)/deltaTMom/deltaTfreesurf |
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& *tmpSurf |
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ENDIF |
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ENDDO |
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ENDDO |
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ENDIF |
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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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CALL EXCH_UV_XYZ_RS(aW3d,aS3d,.FALSE.,myThid) |
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_EXCH_XYZ_RS(aV3d, myThid) |
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_EXCH_XYZ_RS(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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IF ( k.NE.Nr ) THEN |
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zMU(i,j,k,bi,bj)= aV3d(i,j,k+1,bi,bj) |
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ELSE |
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zMU(i,j,k,bi,bj)= 0. |
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ENDIF |
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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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k = 1 |
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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 / zMC(i,j,k,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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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) |
| 327 |
ENDDO |
| 328 |
ENDDO |
| 329 |
ENDDO |
| 330 |
DO k=1,Nr |
| 331 |
DO j=1,sNy |
| 332 |
DO i=1,sNx |
| 333 |
IF ( aC3d(i,j,k,bi,bj) .EQ. 0. ) THEN |
| 334 |
zMC(i,j,k,bi,bj) = 1. |
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zML(i,j,k,bi,bj) = 0. |
| 336 |
zMU(i,j,k,bi,bj) = 0. |
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CcnhDebugStarts |
| 338 |
C ELSE |
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C zMC(i,j,k,bi,bj) = 1. |
| 340 |
C zML(i,j,k,bi,bj) = 0. |
| 341 |
C zMU(i,j,k,bi,bj) = 0. |
| 342 |
CcnhDEbugEnds |
| 343 |
ENDIF |
| 344 |
ENDDO |
| 345 |
ENDDO |
| 346 |
ENDDO |
| 347 |
ENDDO |
| 348 |
ENDDO |
| 349 |
C-- Update overlap regions |
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_EXCH_XYZ_RS(zMC, myThid) |
| 351 |
_EXCH_XYZ_RS(zML, myThid) |
| 352 |
_EXCH_XYZ_RS(zMU, myThid) |
| 353 |
|
| 354 |
IF ( debugLevel .GE. debLevB ) THEN |
| 355 |
CALL WRITE_FLD_XYZ_RS( 'zMC',' ',zMC, 0, myThid ) |
| 356 |
CALL WRITE_FLD_XYZ_RS( 'zML',' ',zML, 0, myThid ) |
| 357 |
CALL WRITE_FLD_XYZ_RS( 'zMU',' ',zMU, 0, myThid ) |
| 358 |
ENDIF |
| 359 |
CcnhDebugStarts |
| 360 |
c DO k=1,Nr |
| 361 |
c DO j=1-OLy,sNy+OLy |
| 362 |
c DO i=1-OLx,sNx+OLx |
| 363 |
c phi(i,j,1,1) = zMc(i,j,k,1,1) |
| 364 |
c ENDDO |
| 365 |
c ENDDO |
| 366 |
C CALL PLOT_FIELD_XYRS( phi, 'zMC INI_CG3D.1' , 1, myThid ) |
| 367 |
c ENDDO |
| 368 |
C CALL PLOT_FIELD_XYRS( zMU, 'zMU INI_CG3D.1' , Nr, 1, myThid ) |
| 369 |
C CALL PLOT_FIELD_XYRS( zML, 'zML INI_CG3D.1' , Nr, 1, myThid ) |
| 370 |
CcnhDebugEnds |
| 371 |
|
| 372 |
C-- end if (use3Dsolver) |
| 373 |
ENDIF |
| 374 |
|
| 375 |
#endif /* ALLOW_NONHYDROSTATIC */ |
| 376 |
|
| 377 |
RETURN |
| 378 |
END |
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