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jmc |
1.16 |
C $Header: /u/gcmpack/MITgcm/model/src/cg3d.F,v 1.15 2005/02/04 19:30:33 jmc 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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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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jmc |
1.15 |
_RL err, errTile |
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_RL eta_qrN, eta_qrNtile |
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jmc |
1.6 |
_RL eta_qrNM1 |
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adcroft |
1.1 |
_RL cgBeta |
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jmc |
1.15 |
_RL alpha , alphaTile |
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_RL sumRHS, sumRHStile |
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adcroft |
1.1 |
_RL rhsMax |
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_RL rhsNorm |
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jmc |
1.16 |
_RL topLevTerm |
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cnh |
1.12 |
CEOP |
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edhill |
1.13 |
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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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135 |
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C-- Update overlaps |
136 |
jmc |
1.16 |
c _EXCH_XYZ_R8( cg3d_b, myThid ) |
137 |
adcroft |
1.1 |
_EXCH_XYZ_R8( cg3d_x, myThid ) |
138 |
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139 |
jmc |
1.7 |
C-- Initial residual calculation (with free-Surface term) |
140 |
adcroft |
1.1 |
err = 0. _d 0 |
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sumRHS = 0. _d 0 |
142 |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
144 |
jmc |
1.15 |
errTile = 0. _d 0 |
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sumRHStile = 0. _d 0 |
146 |
adcroft |
1.1 |
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 |
151 |
jmc |
1.7 |
topLevTerm = 0. |
152 |
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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_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) |
170 |
adcroft |
1.1 |
& ) |
171 |
jmc |
1.15 |
errTile = errTile |
172 |
adcroft |
1.1 |
& +cg3d_r(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
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jmc |
1.15 |
sumRHStile = sumRHStile |
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adcroft |
1.1 |
& +cg3d_b(I,J,K,bi,bj) |
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ENDDO |
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ENDDO |
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jmc |
1.16 |
DO J=1-1,sNy+1 |
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DO I=1-1,sNx+1 |
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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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adcroft |
1.1 |
ENDDO |
183 |
jmc |
1.15 |
err = err + errTile |
184 |
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sumRHS = sumRHS + sumRHStile |
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adcroft |
1.1 |
ENDDO |
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ENDDO |
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C _EXCH_XYZ_R8( cg3d_r, myThid ) |
188 |
jmc |
1.16 |
CALL EXCH_S3D_RL( cg3d_r, myThid ) |
189 |
adcroft |
1.1 |
C _EXCH_XYZ_R8( cg3d_s, myThid ) |
190 |
jmc |
1.16 |
c CALL EXCH_S3D_RL( cg3d_s, myThid ) |
191 |
adcroft |
1.2 |
_GLOBAL_SUM_R8( sumRHS, myThid ) |
192 |
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_GLOBAL_SUM_R8( err , myThid ) |
193 |
adcroft |
1.1 |
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194 |
jmc |
1.15 |
IF ( debugLevel .GE. debLevZero ) THEN |
195 |
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_BEGIN_MASTER( myThid ) |
196 |
jmc |
1.16 |
write(standardmessageunit,'(A,1P2E22.14)') |
197 |
adcroft |
1.11 |
& ' cg3d: Sum(rhs),rhsMax = ',sumRHS,rhsMax |
198 |
jmc |
1.15 |
_END_MASTER( myThid ) |
199 |
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ENDIF |
200 |
adcroft |
1.1 |
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201 |
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actualIts = 0 |
202 |
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actualResidual = SQRT(err) |
203 |
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C _BARRIER |
204 |
adcroft |
1.11 |
c _BEGIN_MASTER( myThid ) |
205 |
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c WRITE(*,'(A,I6,1PE30.14)') ' CG3D iters, err = ', |
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c & actualIts, actualResidual |
207 |
edhill |
1.14 |
c _END_MASTER( myThid ) |
208 |
adcroft |
1.11 |
firstResidual=actualResidual |
209 |
adcroft |
1.1 |
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210 |
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C >>>>>>>>>>>>>>> BEGIN SOLVER <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
211 |
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DO 10 it3d=1, cg3dMaxIters |
212 |
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213 |
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CcnhDebugStarts |
214 |
adcroft |
1.11 |
c IF ( mod(it3d-1,10).EQ.0) |
215 |
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c & WRITE(*,*) ' CG3D: Iteration ',it3d-1, |
216 |
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c & ' residual = ',actualResidual |
217 |
adcroft |
1.1 |
CcnhDebugEnds |
218 |
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IF ( actualResidual .LT. cg3dTargetResidual ) GOTO 11 |
219 |
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C-- Solve preconditioning equation and update |
220 |
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C-- conjugate direction vector "s". |
221 |
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C Note. On the next to loops over all tiles the inner loop ranges |
222 |
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C in sNx and sNy are expanded by 1 to avoid a communication |
223 |
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C step. However this entails a bit of gynamastics because we only |
224 |
jmc |
1.6 |
C want eta_qrN for the interior points. |
225 |
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eta_qrN = 0. _d 0 |
226 |
adcroft |
1.1 |
DO bj=myByLo(myThid),myByHi(myThid) |
227 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
228 |
jmc |
1.15 |
eta_qrNtile = 0. _d 0 |
229 |
adcroft |
1.1 |
DO K=1,1 |
230 |
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DO J=1-1,sNy+1 |
231 |
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DO I=1-1,sNx+1 |
232 |
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cg3d_q(I,J,K,bi,bj) = |
233 |
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& zMC(I ,J ,K,bi,bj)*cg3d_r(I ,J ,K,bi,bj) |
234 |
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ENDDO |
235 |
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ENDDO |
236 |
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ENDDO |
237 |
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DO K=2,Nr |
238 |
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DO J=1-1,sNy+1 |
239 |
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DO I=1-1,sNx+1 |
240 |
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cg3d_q(I,J,K,bi,bj) = |
241 |
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& zMC(I,J,K,bi,bj)*(cg3d_r(I,J,K ,bi,bj) |
242 |
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& -zML(I,J,K,bi,bj)*cg3d_q(I,J,K-1,bi,bj)) |
243 |
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ENDDO |
244 |
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ENDDO |
245 |
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ENDDO |
246 |
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DO K=Nr,Nr |
247 |
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caja IF (Nr .GT. 1) THEN |
248 |
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caja DO J=1-1,sNy+1 |
249 |
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caja DO I=1-1,sNx+1 |
250 |
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caja cg3d_q(I,J,K,bi,bj) = |
251 |
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caja & zMC(i,j,k,bi,bj)*(cg3d_r(i,j,k ,bi,bj) |
252 |
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caja & -zML(i,j,k,bi,bj)*cg3d_q(i,j,k-1,bi,bj)) |
253 |
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caja ENDDO |
254 |
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caja ENDDO |
255 |
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caja ENDIF |
256 |
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DO J=1,sNy |
257 |
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DO I=1,sNx |
258 |
jmc |
1.15 |
eta_qrNtile = eta_qrNtile |
259 |
adcroft |
1.1 |
& +cg3d_q(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
260 |
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ENDDO |
261 |
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ENDDO |
262 |
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ENDDO |
263 |
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DO K=Nr-1,1,-1 |
264 |
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DO J=1-1,sNy+1 |
265 |
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DO I=1-1,sNx+1 |
266 |
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cg3d_q(I,J,K,bi,bj) = |
267 |
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& cg3d_q(I,J,K,bi,bj) |
268 |
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& -zMU(I,J,K,bi,bj)*cg3d_q(I,J,K+1,bi,bj) |
269 |
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ENDDO |
270 |
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ENDDO |
271 |
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DO J=1,sNy |
272 |
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DO I=1,sNx |
273 |
jmc |
1.15 |
eta_qrNtile = eta_qrNtile |
274 |
adcroft |
1.1 |
& +cg3d_q(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
275 |
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ENDDO |
276 |
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ENDDO |
277 |
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ENDDO |
278 |
jmc |
1.15 |
eta_qrN = eta_qrN + eta_qrNtile |
279 |
adcroft |
1.1 |
ENDDO |
280 |
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ENDDO |
281 |
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caja |
282 |
jmc |
1.6 |
caja eta_qrN=0. |
283 |
adcroft |
1.1 |
caja DO bj=myByLo(myThid),myByHi(myThid) |
284 |
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caja DO bi=myBxLo(myThid),myBxHi(myThid) |
285 |
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caja DO K=1,Nr |
286 |
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caja DO J=1,sNy |
287 |
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caja DO I=1,sNx |
288 |
jmc |
1.6 |
caja eta_qrN = eta_qrN |
289 |
adcroft |
1.1 |
caja & +cg3d_q(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
290 |
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caja ENDDO |
291 |
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caja ENDDO |
292 |
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caja ENDDO |
293 |
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caja ENDDO |
294 |
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caja ENDDO |
295 |
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caja |
296 |
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297 |
jmc |
1.6 |
_GLOBAL_SUM_R8(eta_qrN, myThid) |
298 |
adcroft |
1.1 |
CcnhDebugStarts |
299 |
heimbach |
1.8 |
C WRITE(*,*) ' CG3D: Iteration ',it3d-1,' eta_qrN = ',eta_qrN |
300 |
adcroft |
1.1 |
CcnhDebugEnds |
301 |
jmc |
1.6 |
cgBeta = eta_qrN/eta_qrNM1 |
302 |
adcroft |
1.1 |
CcnhDebugStarts |
303 |
heimbach |
1.8 |
C WRITE(*,*) ' CG3D: Iteration ',it3d-1,' beta = ',cgBeta |
304 |
adcroft |
1.1 |
CcnhDebugEnds |
305 |
jmc |
1.6 |
eta_qrNM1 = eta_qrN |
306 |
adcroft |
1.1 |
|
307 |
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DO bj=myByLo(myThid),myByHi(myThid) |
308 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
309 |
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DO K=1,Nr |
310 |
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DO J=1-1,sNy+1 |
311 |
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DO I=1-1,sNx+1 |
312 |
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cg3d_s(I,J,K,bi,bj) = cg3d_q(I,J,K,bi,bj) |
313 |
|
|
& + cgBeta*cg3d_s(I,J,K,bi,bj) |
314 |
|
|
ENDDO |
315 |
|
|
ENDDO |
316 |
|
|
ENDDO |
317 |
|
|
ENDDO |
318 |
|
|
ENDDO |
319 |
|
|
|
320 |
|
|
C== Evaluate laplace operator on conjugate gradient vector |
321 |
|
|
C== q = A.s |
322 |
|
|
alpha = 0. _d 0 |
323 |
jmc |
1.7 |
topLevTerm = freeSurfFac*cg3dNorm* |
324 |
|
|
& (horiVertRatio/gravity)/deltaTMom/deltaTMom |
325 |
adcroft |
1.1 |
DO bj=myByLo(myThid),myByHi(myThid) |
326 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
327 |
jmc |
1.15 |
alphaTile = 0. _d 0 |
328 |
adcroft |
1.1 |
IF ( Nr .GT. 1 ) THEN |
329 |
|
|
DO K=1,1 |
330 |
|
|
DO J=1,sNy |
331 |
|
|
DO I=1,sNx |
332 |
|
|
cg3d_q(I,J,K,bi,bj) = |
333 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
334 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
335 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
336 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
337 |
|
|
& +aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K+1,bi,bj) |
338 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
339 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
340 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
341 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
342 |
|
|
& -aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
343 |
jmc |
1.7 |
& -topLevTerm*_rA(I,J,bi,bj)*cg3d_s(I,J,K,bi,bj) |
344 |
jmc |
1.15 |
alphaTile = alphaTile |
345 |
|
|
& +cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
346 |
adcroft |
1.1 |
ENDDO |
347 |
|
|
ENDDO |
348 |
|
|
ENDDO |
349 |
|
|
ELSE |
350 |
|
|
DO K=1,1 |
351 |
|
|
DO J=1,sNy |
352 |
|
|
DO I=1,sNx |
353 |
|
|
cg3d_q(I,J,K,bi,bj) = |
354 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
355 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
356 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
357 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
358 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
359 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
360 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
361 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
362 |
jmc |
1.7 |
& -topLevTerm*_rA(I,J,bi,bj)*cg3d_s(I,J,K,bi,bj) |
363 |
jmc |
1.15 |
alphaTile = alphaTile |
364 |
|
|
& +cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
365 |
adcroft |
1.1 |
ENDDO |
366 |
|
|
ENDDO |
367 |
|
|
ENDDO |
368 |
|
|
ENDIF |
369 |
|
|
DO K=2,Nr-1 |
370 |
|
|
DO J=1,sNy |
371 |
|
|
DO I=1,sNx |
372 |
|
|
cg3d_q(I,J,K,bi,bj) = |
373 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
374 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
375 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
376 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
377 |
|
|
& +aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K-1,bi,bj) |
378 |
|
|
& +aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K+1,bi,bj) |
379 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
380 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
381 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
382 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
383 |
|
|
& -aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
384 |
|
|
& -aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
385 |
jmc |
1.15 |
alphaTile = alphaTile |
386 |
|
|
& +cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
387 |
adcroft |
1.1 |
ENDDO |
388 |
|
|
ENDDO |
389 |
|
|
ENDDO |
390 |
|
|
IF ( Nr .GT. 1 ) THEN |
391 |
|
|
DO K=Nr,Nr |
392 |
|
|
DO J=1,sNy |
393 |
|
|
DO I=1,sNx |
394 |
|
|
cg3d_q(I,J,K,bi,bj) = |
395 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
396 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
397 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
398 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
399 |
|
|
& +aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K-1,bi,bj) |
400 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
401 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
402 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
403 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
404 |
|
|
& -aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
405 |
jmc |
1.15 |
alphaTile = alphaTile |
406 |
|
|
& +cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
407 |
adcroft |
1.1 |
ENDDO |
408 |
|
|
ENDDO |
409 |
|
|
ENDDO |
410 |
|
|
ENDIF |
411 |
jmc |
1.15 |
alpha = alpha + alphaTile |
412 |
adcroft |
1.1 |
ENDDO |
413 |
|
|
ENDDO |
414 |
adcroft |
1.2 |
_GLOBAL_SUM_R8(alpha,myThid) |
415 |
adcroft |
1.1 |
CcnhDebugStarts |
416 |
heimbach |
1.8 |
C WRITE(*,*) ' CG3D: Iteration ',it3d-1,' SUM(s*q)= ',alpha |
417 |
adcroft |
1.1 |
CcnhDebugEnds |
418 |
jmc |
1.6 |
alpha = eta_qrN/alpha |
419 |
adcroft |
1.1 |
CcnhDebugStarts |
420 |
heimbach |
1.8 |
C WRITE(*,*) ' CG3D: Iteration ',it3d-1,' alpha= ',alpha |
421 |
adcroft |
1.1 |
CcnhDebugEnds |
422 |
|
|
|
423 |
|
|
C== Update solution and residual vectors |
424 |
|
|
C Now compute "interior" points. |
425 |
|
|
err = 0. _d 0 |
426 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
427 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
428 |
jmc |
1.15 |
errTile = 0. _d 0 |
429 |
adcroft |
1.1 |
DO K=1,Nr |
430 |
|
|
DO J=1,sNy |
431 |
|
|
DO I=1,sNx |
432 |
|
|
cg3d_x(I,J,K,bi,bj)=cg3d_x(I,J,K,bi,bj) |
433 |
|
|
& +alpha*cg3d_s(I,J,K,bi,bj) |
434 |
|
|
cg3d_r(I,J,K,bi,bj)=cg3d_r(I,J,K,bi,bj) |
435 |
|
|
& -alpha*cg3d_q(I,J,K,bi,bj) |
436 |
jmc |
1.15 |
errTile = errTile |
437 |
|
|
& +cg3d_r(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
438 |
adcroft |
1.1 |
ENDDO |
439 |
|
|
ENDDO |
440 |
|
|
ENDDO |
441 |
jmc |
1.15 |
err = err + errTile |
442 |
adcroft |
1.1 |
ENDDO |
443 |
|
|
ENDDO |
444 |
|
|
|
445 |
adcroft |
1.2 |
_GLOBAL_SUM_R8( err , myThid ) |
446 |
adcroft |
1.1 |
err = SQRT(err) |
447 |
|
|
actualIts = it3d |
448 |
|
|
actualResidual = err |
449 |
|
|
IF ( actualResidual .LT. cg3dTargetResidual ) GOTO 11 |
450 |
|
|
C _EXCH_XYZ_R8(cg3d_r, myThid ) |
451 |
jmc |
1.16 |
CALL EXCH_S3D_RL( cg3d_r, myThid ) |
452 |
adcroft |
1.1 |
|
453 |
|
|
10 CONTINUE |
454 |
|
|
11 CONTINUE |
455 |
|
|
|
456 |
|
|
C-- Un-normalise the answer |
457 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
458 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
459 |
|
|
DO K=1,Nr |
460 |
|
|
DO J=1,sNy |
461 |
|
|
DO I=1,sNx |
462 |
|
|
cg3d_x(I,J,K,bi,bj) = cg3d_x(I,J,K,bi,bj)/rhsNorm |
463 |
|
|
ENDDO |
464 |
|
|
ENDDO |
465 |
|
|
ENDDO |
466 |
|
|
ENDDO |
467 |
|
|
ENDDO |
468 |
|
|
|
469 |
adcroft |
1.3 |
Cadj _EXCH_XYZ_R8(cg3d_x, myThid ) |
470 |
adcroft |
1.11 |
c _BEGIN_MASTER( myThid ) |
471 |
|
|
c WRITE(*,'(A,I6,1PE30.14)') ' CG3D iters, err = ', |
472 |
|
|
c & actualIts, actualResidual |
473 |
edhill |
1.14 |
c _END_MASTER( myThid ) |
474 |
adcroft |
1.11 |
lastResidual=actualResidual |
475 |
|
|
numIters=actualIts |
476 |
adcroft |
1.1 |
|
477 |
|
|
#endif /* ALLOW_NONHYDROSTATIC */ |
478 |
|
|
|
479 |
|
|
RETURN |
480 |
|
|
END |