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cnh |
1.12 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/cg3d.F,v 1.11 2001/06/29 17:14:49 adcroft Exp $ |
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adcroft |
1.10 |
C $Name: $ |
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adcroft |
1.1 |
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#include "CPP_OPTIONS.h" |
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#define VERBOSE |
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cnh |
1.12 |
CBOP |
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C !ROUTINE: CG3D |
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C !INTERFACE: |
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adcroft |
1.1 |
SUBROUTINE CG3D( |
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adcroft |
1.11 |
I cg3d_b, |
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U cg3d_x, |
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O firstResidual, |
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O lastResidual, |
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U numIters, |
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adcroft |
1.1 |
I myThid ) |
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cnh |
1.12 |
C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE CG3D |
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C | o Three-dimensional grid problem conjugate-gradient |
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C | inverter (with preconditioner). |
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C *==========================================================* |
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C | Con. grad is an iterative procedure for solving Ax = b. |
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C | It requires the A be symmetric. |
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C | This implementation assumes A is a seven-diagonal |
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C | matrix of the form that arises in the discrete |
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C | representation of the del^2 operator in a |
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C | three-dimensional space. |
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C | Notes: |
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C | ====== |
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C | This implementation can support shared-memory |
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C | multi-threaded execution. In order to do this COMMON |
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C | blocks are used for many of the arrays - even ones that |
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C | are only used for intermedaite results. This design is |
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C | OK if you want to all the threads to collaborate on |
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C | solving the same problem. On the other hand if you want |
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C | the threads to solve several different problems |
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C | concurrently this implementation will not work. |
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C *==========================================================* |
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C \ev |
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C !USES: |
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adcroft |
1.1 |
IMPLICIT NONE |
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C === Global data === |
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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 "CG3D.h" |
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cnh |
1.12 |
C !INPUT/OUTPUT PARAMETERS: |
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adcroft |
1.1 |
C === Routine arguments === |
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adcroft |
1.11 |
C myThid - Thread on which I am working. |
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C cg2d_b - The source term or "right hand side" |
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C cg2d_x - The solution |
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C firstResidual - the initial residual before any iterations |
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C lastResidual - the actual residual reached |
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C numIters - Entry: the maximum number of iterations allowed |
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C Exit: the actual number of iterations used |
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_RL cg3d_b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL cg3d_x(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL firstResidual |
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_RL lastResidual |
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INTEGER numIters |
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adcroft |
1.1 |
INTEGER myThid |
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adcroft |
1.11 |
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adcroft |
1.4 |
#ifdef ALLOW_NONHYDROSTATIC |
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cnh |
1.12 |
C !LOCAL VARIABLES: |
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adcroft |
1.1 |
C === Local variables ==== |
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C actualIts - Number of iterations taken |
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C actualResidual - residual |
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C bi - Block index in X and Y. |
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C bj |
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jmc |
1.6 |
C eta_qrN - Used in computing search directions |
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C eta_qrNM1 suffix N and NM1 denote current and |
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adcroft |
1.1 |
C cgBeta previous iterations respectively. |
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C alpha |
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C sumRHS - Sum of right-hand-side. Sometimes this is a |
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C useful debuggin/trouble shooting diagnostic. |
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C For neumann problems sumRHS needs to be ~0. |
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C or they converge at a non-zero residual. |
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C err - Measure of residual of Ax - b, usually the norm. |
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C I, J, N - Loop counters ( N counts CG iterations ) |
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INTEGER actualIts |
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_RL actualResidual |
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INTEGER bi, bj |
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INTEGER I, J, K, it3d |
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INTEGER KM1, KP1 |
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_RL err |
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jmc |
1.6 |
_RL eta_qrN |
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_RL eta_qrNM1 |
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adcroft |
1.1 |
_RL cgBeta |
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_RL alpha |
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_RL sumRHS |
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_RL rhsMax |
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_RL rhsNorm |
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INTEGER OLw |
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INTEGER OLe |
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INTEGER OLn |
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INTEGER OLs |
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INTEGER exchWidthX |
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INTEGER exchWidthY |
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INTEGER myNz |
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jmc |
1.7 |
_RL topLevTerm |
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cnh |
1.12 |
CEOP |
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adcroft |
1.1 |
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C-- Initialise inverter |
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jmc |
1.6 |
eta_qrNM1 = 1. D0 |
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adcroft |
1.1 |
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C-- Normalise RHS |
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rhsMax = 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 |
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cg3d_b(I,J,K,bi,bj) = cg3d_b(I,J,K,bi,bj)*cg3dNorm |
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rhsMax = MAX(ABS(cg3d_b(I,J,K,bi,bj)),rhsMax) |
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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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adcroft |
1.2 |
_GLOBAL_MAX_R8( rhsMax, myThid ) |
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adcroft |
1.1 |
rhsNorm = 1. _d 0 |
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IF ( rhsMax .NE. 0. ) rhsNorm = 1. _d 0 / rhsMax |
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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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cg3d_b(I,J,K,bi,bj) = cg3d_b(I,J,K,bi,bj)*rhsNorm |
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cg3d_x(I,J,K,bi,bj) = cg3d_x(I,J,K,bi,bj)*rhsNorm |
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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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C-- Update overlaps |
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_EXCH_XYZ_R8( cg3d_b, myThid ) |
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_EXCH_XYZ_R8( cg3d_x, myThid ) |
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jmc |
1.7 |
C-- Initial residual calculation (with free-Surface term) |
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adcroft |
1.1 |
err = 0. _d 0 |
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sumRHS = 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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KM1 = K-1 |
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IF ( K .EQ. 1 ) KM1 = 1 |
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KP1 = K+1 |
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IF ( K .EQ. Nr ) KP1 = 1 |
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jmc |
1.7 |
topLevTerm = 0. |
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IF ( K .EQ. 1) topLevTerm = freeSurfFac*cg3dNorm* |
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& (horiVertRatio/gravity)/deltaTMom/deltaTMom |
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adcroft |
1.1 |
DO J=1,sNy |
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DO I=1,sNx |
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cg3d_s(I,J,K,bi,bj) = 0. |
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cg3d_r(I,J,K,bi,bj) = cg3d_b(I,J,K,bi,bj) -( 0. |
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& +aW3d(I ,J ,K ,bi,bj)*cg3d_x(I-1,J ,K ,bi,bj) |
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& +aW3d(I+1,J ,K ,bi,bj)*cg3d_x(I+1,J ,K ,bi,bj) |
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& +aS3d(I ,J ,K ,bi,bj)*cg3d_x(I ,J-1,K ,bi,bj) |
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& +aS3d(I ,J+1,K ,bi,bj)*cg3d_x(I ,J+1,K ,bi,bj) |
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& +aV3d(I ,J ,K ,bi,bj)*cg3d_x(I ,J ,KM1,bi,bj) |
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& +aV3d(I ,J ,KP1,bi,bj)*cg3d_x(I ,J ,KP1,bi,bj) |
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& -aW3d(I ,J ,K ,bi,bj)*cg3d_x(I ,J ,K ,bi,bj) |
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& -aW3d(I+1,J ,K ,bi,bj)*cg3d_x(I ,J ,K ,bi,bj) |
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& -aS3d(I ,J ,K ,bi,bj)*cg3d_x(I ,J ,K ,bi,bj) |
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& -aS3d(I ,J+1,K ,bi,bj)*cg3d_x(I ,J ,K ,bi,bj) |
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& -aV3d(I ,J ,K ,bi,bj)*cg3d_x(I ,J ,K ,bi,bj) |
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& -aV3d(I ,J ,KP1,bi,bj)*cg3d_x(I ,J ,K ,bi,bj) |
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jmc |
1.7 |
& -topLevTerm*_rA(I,J,bi,bj)*cg3d_x(I,J,K,bi,bj) |
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adcroft |
1.1 |
& ) |
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err = err |
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& +cg3d_r(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
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sumRHS = sumRHS |
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& +cg3d_b(I,J,K,bi,bj) |
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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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C _EXCH_XYZ_R8( cg3d_r, myThid ) |
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OLw = 1 |
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OLe = 1 |
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OLn = 1 |
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OLs = 1 |
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exchWidthX = 1 |
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exchWidthY = 1 |
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myNz = Nr |
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CALL EXCH_RL( cg3d_r, |
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adcroft |
1.10 |
I OLw, OLe, OLs, OLn, myNz, |
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adcroft |
1.1 |
I exchWidthX, exchWidthY, |
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I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
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C _EXCH_XYZ_R8( cg3d_s, myThid ) |
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OLw = 1 |
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OLe = 1 |
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OLn = 1 |
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OLs = 1 |
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exchWidthX = 1 |
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exchWidthY = 1 |
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myNz = Nr |
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CALL EXCH_RL( cg3d_s, |
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adcroft |
1.10 |
I OLw, OLe, OLs, OLn, myNz, |
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adcroft |
1.1 |
I exchWidthX, exchWidthY, |
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I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
212 |
adcroft |
1.2 |
_GLOBAL_SUM_R8( sumRHS, myThid ) |
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_GLOBAL_SUM_R8( err , myThid ) |
214 |
adcroft |
1.1 |
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_BEGIN_MASTER( myThid ) |
216 |
adcroft |
1.11 |
write(*,'(A,1P2E22.14)') |
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& ' cg3d: Sum(rhs),rhsMax = ',sumRHS,rhsMax |
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adcroft |
1.1 |
_END_MASTER( ) |
219 |
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220 |
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actualIts = 0 |
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actualResidual = SQRT(err) |
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C _BARRIER |
223 |
adcroft |
1.11 |
c _BEGIN_MASTER( myThid ) |
224 |
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c WRITE(*,'(A,I6,1PE30.14)') ' CG3D iters, err = ', |
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c & actualIts, actualResidual |
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c _END_MASTER( ) |
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firstResidual=actualResidual |
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adcroft |
1.1 |
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229 |
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C >>>>>>>>>>>>>>> BEGIN SOLVER <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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DO 10 it3d=1, cg3dMaxIters |
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232 |
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CcnhDebugStarts |
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#ifdef VERBOSE |
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adcroft |
1.11 |
c IF ( mod(it3d-1,10).EQ.0) |
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c & WRITE(*,*) ' CG3D: Iteration ',it3d-1, |
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c & ' residual = ',actualResidual |
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adcroft |
1.1 |
#endif |
238 |
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CcnhDebugEnds |
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IF ( actualResidual .LT. cg3dTargetResidual ) GOTO 11 |
240 |
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C-- Solve preconditioning equation and update |
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C-- conjugate direction vector "s". |
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C Note. On the next to loops over all tiles the inner loop ranges |
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C in sNx and sNy are expanded by 1 to avoid a communication |
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C step. However this entails a bit of gynamastics because we only |
245 |
jmc |
1.6 |
C want eta_qrN for the interior points. |
246 |
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eta_qrN = 0. _d 0 |
247 |
adcroft |
1.1 |
DO bj=myByLo(myThid),myByHi(myThid) |
248 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO K=1,1 |
250 |
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DO J=1-1,sNy+1 |
251 |
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DO I=1-1,sNx+1 |
252 |
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cg3d_q(I,J,K,bi,bj) = |
253 |
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& zMC(I ,J ,K,bi,bj)*cg3d_r(I ,J ,K,bi,bj) |
254 |
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ENDDO |
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ENDDO |
256 |
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ENDDO |
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DO K=2,Nr |
258 |
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DO J=1-1,sNy+1 |
259 |
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DO I=1-1,sNx+1 |
260 |
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cg3d_q(I,J,K,bi,bj) = |
261 |
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& zMC(I,J,K,bi,bj)*(cg3d_r(I,J,K ,bi,bj) |
262 |
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& -zML(I,J,K,bi,bj)*cg3d_q(I,J,K-1,bi,bj)) |
263 |
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ENDDO |
264 |
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ENDDO |
265 |
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ENDDO |
266 |
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DO K=Nr,Nr |
267 |
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caja IF (Nr .GT. 1) THEN |
268 |
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caja DO J=1-1,sNy+1 |
269 |
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caja DO I=1-1,sNx+1 |
270 |
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caja cg3d_q(I,J,K,bi,bj) = |
271 |
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caja & zMC(i,j,k,bi,bj)*(cg3d_r(i,j,k ,bi,bj) |
272 |
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caja & -zML(i,j,k,bi,bj)*cg3d_q(i,j,k-1,bi,bj)) |
273 |
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caja ENDDO |
274 |
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caja ENDDO |
275 |
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caja ENDIF |
276 |
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DO J=1,sNy |
277 |
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DO I=1,sNx |
278 |
jmc |
1.6 |
eta_qrN = eta_qrN |
279 |
adcroft |
1.1 |
& +cg3d_q(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
280 |
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ENDDO |
281 |
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ENDDO |
282 |
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ENDDO |
283 |
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DO K=Nr-1,1,-1 |
284 |
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DO J=1-1,sNy+1 |
285 |
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DO I=1-1,sNx+1 |
286 |
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cg3d_q(I,J,K,bi,bj) = |
287 |
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& cg3d_q(I,J,K,bi,bj) |
288 |
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& -zMU(I,J,K,bi,bj)*cg3d_q(I,J,K+1,bi,bj) |
289 |
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ENDDO |
290 |
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ENDDO |
291 |
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DO J=1,sNy |
292 |
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DO I=1,sNx |
293 |
jmc |
1.6 |
eta_qrN = eta_qrN |
294 |
adcroft |
1.1 |
& +cg3d_q(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
295 |
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ENDDO |
296 |
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ENDDO |
297 |
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ENDDO |
298 |
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ENDDO |
299 |
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ENDDO |
300 |
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caja |
301 |
jmc |
1.6 |
caja eta_qrN=0. |
302 |
adcroft |
1.1 |
caja DO bj=myByLo(myThid),myByHi(myThid) |
303 |
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caja DO bi=myBxLo(myThid),myBxHi(myThid) |
304 |
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caja DO K=1,Nr |
305 |
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caja DO J=1,sNy |
306 |
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caja DO I=1,sNx |
307 |
jmc |
1.6 |
caja eta_qrN = eta_qrN |
308 |
adcroft |
1.1 |
caja & +cg3d_q(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
309 |
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caja ENDDO |
310 |
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caja ENDDO |
311 |
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caja ENDDO |
312 |
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caja ENDDO |
313 |
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caja ENDDO |
314 |
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caja |
315 |
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316 |
jmc |
1.6 |
_GLOBAL_SUM_R8(eta_qrN, myThid) |
317 |
adcroft |
1.1 |
CcnhDebugStarts |
318 |
heimbach |
1.8 |
C WRITE(*,*) ' CG3D: Iteration ',it3d-1,' eta_qrN = ',eta_qrN |
319 |
adcroft |
1.1 |
CcnhDebugEnds |
320 |
jmc |
1.6 |
cgBeta = eta_qrN/eta_qrNM1 |
321 |
adcroft |
1.1 |
CcnhDebugStarts |
322 |
heimbach |
1.8 |
C WRITE(*,*) ' CG3D: Iteration ',it3d-1,' beta = ',cgBeta |
323 |
adcroft |
1.1 |
CcnhDebugEnds |
324 |
jmc |
1.6 |
eta_qrNM1 = eta_qrN |
325 |
adcroft |
1.1 |
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326 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
327 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
328 |
|
|
DO K=1,Nr |
329 |
|
|
DO J=1-1,sNy+1 |
330 |
|
|
DO I=1-1,sNx+1 |
331 |
|
|
cg3d_s(I,J,K,bi,bj) = cg3d_q(I,J,K,bi,bj) |
332 |
|
|
& + cgBeta*cg3d_s(I,J,K,bi,bj) |
333 |
|
|
ENDDO |
334 |
|
|
ENDDO |
335 |
|
|
ENDDO |
336 |
|
|
ENDDO |
337 |
|
|
ENDDO |
338 |
|
|
|
339 |
|
|
C== Evaluate laplace operator on conjugate gradient vector |
340 |
|
|
C== q = A.s |
341 |
|
|
alpha = 0. _d 0 |
342 |
jmc |
1.7 |
topLevTerm = freeSurfFac*cg3dNorm* |
343 |
|
|
& (horiVertRatio/gravity)/deltaTMom/deltaTMom |
344 |
adcroft |
1.1 |
DO bj=myByLo(myThid),myByHi(myThid) |
345 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
346 |
|
|
IF ( Nr .GT. 1 ) THEN |
347 |
|
|
DO K=1,1 |
348 |
|
|
DO J=1,sNy |
349 |
|
|
DO I=1,sNx |
350 |
|
|
cg3d_q(I,J,K,bi,bj) = |
351 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
352 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
353 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
354 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
355 |
|
|
& +aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K+1,bi,bj) |
356 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
357 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
358 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
359 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
360 |
|
|
& -aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
361 |
jmc |
1.7 |
& -topLevTerm*_rA(I,J,bi,bj)*cg3d_s(I,J,K,bi,bj) |
362 |
adcroft |
1.1 |
alpha = alpha+cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
363 |
|
|
ENDDO |
364 |
|
|
ENDDO |
365 |
|
|
ENDDO |
366 |
|
|
ELSE |
367 |
|
|
DO K=1,1 |
368 |
|
|
DO J=1,sNy |
369 |
|
|
DO I=1,sNx |
370 |
|
|
cg3d_q(I,J,K,bi,bj) = |
371 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
372 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
373 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
374 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
375 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
376 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
377 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
378 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
379 |
jmc |
1.7 |
& -topLevTerm*_rA(I,J,bi,bj)*cg3d_s(I,J,K,bi,bj) |
380 |
adcroft |
1.1 |
alpha = alpha+cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
381 |
|
|
ENDDO |
382 |
|
|
ENDDO |
383 |
|
|
ENDDO |
384 |
|
|
ENDIF |
385 |
|
|
DO K=2,Nr-1 |
386 |
|
|
DO J=1,sNy |
387 |
|
|
DO I=1,sNx |
388 |
|
|
cg3d_q(I,J,K,bi,bj) = |
389 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
390 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
391 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
392 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
393 |
|
|
& +aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K-1,bi,bj) |
394 |
|
|
& +aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K+1,bi,bj) |
395 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
396 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
397 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
398 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
399 |
|
|
& -aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
400 |
|
|
& -aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
401 |
|
|
alpha = alpha+cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
402 |
|
|
ENDDO |
403 |
|
|
ENDDO |
404 |
|
|
ENDDO |
405 |
|
|
IF ( Nr .GT. 1 ) THEN |
406 |
|
|
DO K=Nr,Nr |
407 |
|
|
DO J=1,sNy |
408 |
|
|
DO I=1,sNx |
409 |
|
|
cg3d_q(I,J,K,bi,bj) = |
410 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
411 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
412 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
413 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
414 |
|
|
& +aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K-1,bi,bj) |
415 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
416 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
417 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
418 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
419 |
|
|
& -aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
420 |
|
|
alpha = alpha+cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
421 |
|
|
ENDDO |
422 |
|
|
ENDDO |
423 |
|
|
ENDDO |
424 |
|
|
ENDIF |
425 |
|
|
ENDDO |
426 |
|
|
ENDDO |
427 |
adcroft |
1.2 |
_GLOBAL_SUM_R8(alpha,myThid) |
428 |
adcroft |
1.1 |
CcnhDebugStarts |
429 |
heimbach |
1.8 |
C WRITE(*,*) ' CG3D: Iteration ',it3d-1,' SUM(s*q)= ',alpha |
430 |
adcroft |
1.1 |
CcnhDebugEnds |
431 |
jmc |
1.6 |
alpha = eta_qrN/alpha |
432 |
adcroft |
1.1 |
CcnhDebugStarts |
433 |
heimbach |
1.8 |
C WRITE(*,*) ' CG3D: Iteration ',it3d-1,' alpha= ',alpha |
434 |
adcroft |
1.1 |
CcnhDebugEnds |
435 |
|
|
|
436 |
|
|
C== Update solution and residual vectors |
437 |
|
|
C Now compute "interior" points. |
438 |
|
|
err = 0. _d 0 |
439 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
440 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
441 |
|
|
DO K=1,Nr |
442 |
|
|
DO J=1,sNy |
443 |
|
|
DO I=1,sNx |
444 |
|
|
cg3d_x(I,J,K,bi,bj)=cg3d_x(I,J,K,bi,bj) |
445 |
|
|
& +alpha*cg3d_s(I,J,K,bi,bj) |
446 |
|
|
cg3d_r(I,J,K,bi,bj)=cg3d_r(I,J,K,bi,bj) |
447 |
|
|
& -alpha*cg3d_q(I,J,K,bi,bj) |
448 |
|
|
err = err+cg3d_r(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
449 |
|
|
ENDDO |
450 |
|
|
ENDDO |
451 |
|
|
ENDDO |
452 |
|
|
ENDDO |
453 |
|
|
ENDDO |
454 |
|
|
|
455 |
adcroft |
1.2 |
_GLOBAL_SUM_R8( err , myThid ) |
456 |
adcroft |
1.1 |
err = SQRT(err) |
457 |
|
|
actualIts = it3d |
458 |
|
|
actualResidual = err |
459 |
|
|
IF ( actualResidual .LT. cg3dTargetResidual ) GOTO 11 |
460 |
|
|
C _EXCH_XYZ_R8(cg3d_r, myThid ) |
461 |
|
|
OLw = 1 |
462 |
|
|
OLe = 1 |
463 |
|
|
OLn = 1 |
464 |
|
|
OLs = 1 |
465 |
|
|
exchWidthX = 1 |
466 |
|
|
exchWidthY = 1 |
467 |
|
|
myNz = Nr |
468 |
|
|
CALL EXCH_RL( cg3d_r, |
469 |
adcroft |
1.10 |
I OLw, OLe, OLs, OLn, myNz, |
470 |
adcroft |
1.1 |
I exchWidthX, exchWidthY, |
471 |
|
|
I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
472 |
|
|
|
473 |
|
|
10 CONTINUE |
474 |
|
|
11 CONTINUE |
475 |
|
|
|
476 |
|
|
C-- Un-normalise the answer |
477 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
478 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
479 |
|
|
DO K=1,Nr |
480 |
|
|
DO J=1,sNy |
481 |
|
|
DO I=1,sNx |
482 |
|
|
cg3d_x(I,J,K,bi,bj) = cg3d_x(I,J,K,bi,bj)/rhsNorm |
483 |
|
|
ENDDO |
484 |
|
|
ENDDO |
485 |
|
|
ENDDO |
486 |
|
|
ENDDO |
487 |
|
|
ENDDO |
488 |
|
|
|
489 |
adcroft |
1.3 |
Cadj _EXCH_XYZ_R8(cg3d_x, myThid ) |
490 |
adcroft |
1.11 |
c _BEGIN_MASTER( myThid ) |
491 |
|
|
c WRITE(*,'(A,I6,1PE30.14)') ' CG3D iters, err = ', |
492 |
|
|
c & actualIts, actualResidual |
493 |
|
|
c _END_MASTER( ) |
494 |
|
|
lastResidual=actualResidual |
495 |
|
|
numIters=actualIts |
496 |
adcroft |
1.1 |
|
497 |
|
|
#endif /* ALLOW_NONHYDROSTATIC */ |
498 |
|
|
|
499 |
|
|
RETURN |
500 |
|
|
END |