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adcroft |
1.4 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/cg3d.F,v 1.3 1999/05/24 14:15:15 adcroft Exp $ |
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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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SUBROUTINE CG3D( |
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I myThid ) |
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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 five-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 | two-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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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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C === Routine arguments === |
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C myThid - Thread on which I am working. |
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INTEGER myThid |
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adcroft |
1.4 |
#ifdef ALLOW_NONHYDROSTATIC |
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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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C etaN - Used in computing search directions |
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C etaNM1 suffix N and NM1 denote current and |
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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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_RL etaN |
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_RL etaNM1 |
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_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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_RL topLevFac |
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C-- Initialise inverter |
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etaNM1 = 1. D0 |
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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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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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#ifdef NONO |
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CcnhDebugStarts |
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C-- Initial residual calculation |
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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 J=1,sNy |
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DO I=1,sNx |
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alpha = 0. _d 0 |
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DO K=1,Nr |
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KM1 = K-1 |
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IF ( KM1 .EQ. 0 ) KM1 = 1 |
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KP1 = K+1 |
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IF ( KP1 .EQ. Nr+1 ) KP1 = 1 |
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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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& ) |
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alpha = alpha |
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& +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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err = err + alpha*alpha |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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WRITE(6,*) 'DEBUG mythid, err = ', mythid, SQRT(err) |
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adcroft |
1.2 |
_GLOBAL_SUM_R8( err , myThid ) |
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_GLOBAL_SUM_R8( sumRHS , myThid ) |
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adcroft |
1.1 |
_BEGIN_MASTER( myThid ) |
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write(0,*) 'DEBUG cg3d: Sum(rhs) = ',sumRHS |
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_END_MASTER( ) |
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actualIts = 0 |
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actualResidual = SQRT(err) |
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C _BARRIER |
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_BEGIN_MASTER( myThid ) |
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WRITE(0,'(A,I6,1PE30.14)') 'DEBUG CG3D iters, err = ', |
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& actualIts, actualResidual |
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_END_MASTER( ) |
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CcnhDebugEnds |
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#endif |
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C-- Initial residual calculation |
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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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topLevFac = 0. |
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IF ( K .EQ. 1) topLevFac = 1. |
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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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& -freeSurfFac*_rA(i,j,bi,bj)* horiVertRatio* |
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& cg3d_x(I ,J ,K,bi,bj)/deltaTMom/deltaTMom*cg3dNorm |
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& *topLevFac |
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& ) |
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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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I OLw, OLe, OLs, OLn, myNz, |
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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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I OLw, OLe, OLs, OLn, myNz, |
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I exchWidthX, exchWidthY, |
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I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
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adcroft |
1.2 |
_GLOBAL_SUM_R8( sumRHS, myThid ) |
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_GLOBAL_SUM_R8( err , myThid ) |
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adcroft |
1.1 |
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_BEGIN_MASTER( myThid ) |
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write(0,'(A,1PE30.14)') ' cg3d: Sum(rhs) = ',sumRHS |
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_END_MASTER( ) |
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actualIts = 0 |
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actualResidual = SQRT(err) |
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C _BARRIER |
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_BEGIN_MASTER( myThid ) |
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WRITE(0,'(A,I6,1PE30.14)') ' CG3D iters, err = ', |
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& actualIts, actualResidual |
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_END_MASTER( ) |
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C >>>>>>>>>>>>>>> BEGIN SOLVER <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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DO 10 it3d=1, cg3dMaxIters |
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CcnhDebugStarts |
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#ifdef VERBOSE |
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IF ( mod(it3d-1,10).EQ.0) |
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& WRITE(0,*) ' CG3D: Iteration ',it3d-1, |
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& ' residual = ',actualResidual |
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#endif |
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CcnhDebugEnds |
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IF ( actualResidual .LT. cg3dTargetResidual ) GOTO 11 |
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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 |
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C want etaN for the interior points. |
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etaN = 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=1,1 |
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DO J=1-1,sNy+1 |
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DO I=1-1,sNx+1 |
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cg3d_q(I,J,K,bi,bj) = |
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& zMC(I ,J ,K,bi,bj)*cg3d_r(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=2,Nr |
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DO J=1-1,sNy+1 |
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DO I=1-1,sNx+1 |
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cg3d_q(I,J,K,bi,bj) = |
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& zMC(I,J,K,bi,bj)*(cg3d_r(I,J,K ,bi,bj) |
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& -zML(I,J,K,bi,bj)*cg3d_q(I,J,K-1,bi,bj)) |
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ENDDO |
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ENDDO |
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ENDDO |
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DO K=Nr,Nr |
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caja IF (Nr .GT. 1) THEN |
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caja DO J=1-1,sNy+1 |
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caja DO I=1-1,sNx+1 |
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caja cg3d_q(I,J,K,bi,bj) = |
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caja & zMC(i,j,k,bi,bj)*(cg3d_r(i,j,k ,bi,bj) |
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caja & -zML(i,j,k,bi,bj)*cg3d_q(i,j,k-1,bi,bj)) |
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caja ENDDO |
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caja ENDDO |
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caja ENDIF |
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DO J=1,sNy |
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DO I=1,sNx |
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etaN = etaN |
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& +cg3d_q(I,J,K,bi,bj)*cg3d_r(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=Nr-1,1,-1 |
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DO J=1-1,sNy+1 |
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DO I=1-1,sNx+1 |
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cg3d_q(I,J,K,bi,bj) = |
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& cg3d_q(I,J,K,bi,bj) |
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& -zMU(I,J,K,bi,bj)*cg3d_q(I,J,K+1,bi,bj) |
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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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etaN = etaN |
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& +cg3d_q(I,J,K,bi,bj)*cg3d_r(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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caja |
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caja etaN=0. |
329 |
|
|
caja DO bj=myByLo(myThid),myByHi(myThid) |
330 |
|
|
caja DO bi=myBxLo(myThid),myBxHi(myThid) |
331 |
|
|
caja DO K=1,Nr |
332 |
|
|
caja DO J=1,sNy |
333 |
|
|
caja DO I=1,sNx |
334 |
|
|
caja etaN = etaN |
335 |
|
|
caja & +cg3d_q(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
336 |
|
|
caja ENDDO |
337 |
|
|
caja ENDDO |
338 |
|
|
caja ENDDO |
339 |
|
|
caja ENDDO |
340 |
|
|
caja ENDDO |
341 |
|
|
caja |
342 |
|
|
|
343 |
adcroft |
1.2 |
_GLOBAL_SUM_R8(etaN, myThid) |
344 |
adcroft |
1.1 |
CcnhDebugStarts |
345 |
|
|
C WRITE(0,*) ' CG3D: Iteration ',it3d-1,' etaN = ',etaN |
346 |
|
|
CcnhDebugEnds |
347 |
|
|
cgBeta = etaN/etaNM1 |
348 |
|
|
CcnhDebugStarts |
349 |
|
|
C WRITE(0,*) ' CG3D: Iteration ',it3d-1,' beta = ',cgBeta |
350 |
|
|
CcnhDebugEnds |
351 |
|
|
etaNM1 = etaN |
352 |
|
|
|
353 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
354 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
355 |
|
|
DO K=1,Nr |
356 |
|
|
DO J=1-1,sNy+1 |
357 |
|
|
DO I=1-1,sNx+1 |
358 |
|
|
cg3d_s(I,J,K,bi,bj) = cg3d_q(I,J,K,bi,bj) |
359 |
|
|
& + cgBeta*cg3d_s(I,J,K,bi,bj) |
360 |
|
|
ENDDO |
361 |
|
|
ENDDO |
362 |
|
|
ENDDO |
363 |
|
|
ENDDO |
364 |
|
|
ENDDO |
365 |
|
|
|
366 |
|
|
C== Evaluate laplace operator on conjugate gradient vector |
367 |
|
|
C== q = A.s |
368 |
|
|
alpha = 0. _d 0 |
369 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
370 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
371 |
|
|
IF ( Nr .GT. 1 ) THEN |
372 |
|
|
DO K=1,1 |
373 |
|
|
DO J=1,sNy |
374 |
|
|
DO I=1,sNx |
375 |
|
|
cg3d_q(I,J,K,bi,bj) = |
376 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
377 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
378 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
379 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
380 |
|
|
& +aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K+1,bi,bj) |
381 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
382 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
383 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
384 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
385 |
|
|
& -aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
386 |
|
|
& -freeSurfFac*_rA(i,j,bi,bj)* horiVertRatio* |
387 |
|
|
& cg3d_s(I ,J ,K,bi,bj)/deltaTMom/deltaTMom*cg3dNorm |
388 |
|
|
alpha = alpha+cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
389 |
|
|
ENDDO |
390 |
|
|
ENDDO |
391 |
|
|
ENDDO |
392 |
|
|
ELSE |
393 |
|
|
DO K=1,1 |
394 |
|
|
DO J=1,sNy |
395 |
|
|
DO I=1,sNx |
396 |
|
|
cg3d_q(I,J,K,bi,bj) = |
397 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
398 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
399 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
400 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
401 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
402 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
403 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
404 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
405 |
|
|
& -freeSurfFac*_rA(i,j,bi,bj)* horiVertRatio* |
406 |
|
|
& cg3d_s(I ,J ,K,bi,bj)/deltaTMom/deltaTMom*cg3dNorm |
407 |
|
|
alpha = alpha+cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
408 |
|
|
ENDDO |
409 |
|
|
ENDDO |
410 |
|
|
ENDDO |
411 |
|
|
ENDIF |
412 |
|
|
DO K=2,Nr-1 |
413 |
|
|
DO J=1,sNy |
414 |
|
|
DO I=1,sNx |
415 |
|
|
cg3d_q(I,J,K,bi,bj) = |
416 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
417 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
418 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
419 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
420 |
|
|
& +aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K-1,bi,bj) |
421 |
|
|
& +aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K+1,bi,bj) |
422 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
423 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
424 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
425 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
426 |
|
|
& -aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
427 |
|
|
& -aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
428 |
|
|
alpha = alpha+cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
429 |
|
|
ENDDO |
430 |
|
|
ENDDO |
431 |
|
|
ENDDO |
432 |
|
|
IF ( Nr .GT. 1 ) THEN |
433 |
|
|
DO K=Nr,Nr |
434 |
|
|
DO J=1,sNy |
435 |
|
|
DO I=1,sNx |
436 |
|
|
cg3d_q(I,J,K,bi,bj) = |
437 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
438 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
439 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
440 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
441 |
|
|
& +aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K-1,bi,bj) |
442 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
443 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
444 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
445 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
446 |
|
|
& -aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
447 |
|
|
alpha = alpha+cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
448 |
|
|
ENDDO |
449 |
|
|
ENDDO |
450 |
|
|
ENDDO |
451 |
|
|
ENDIF |
452 |
|
|
ENDDO |
453 |
|
|
ENDDO |
454 |
adcroft |
1.2 |
_GLOBAL_SUM_R8(alpha,myThid) |
455 |
adcroft |
1.1 |
CcnhDebugStarts |
456 |
|
|
C WRITE(0,*) ' CG3D: Iteration ',it3d-1,' SUM(s*q)= ',alpha |
457 |
|
|
CcnhDebugEnds |
458 |
|
|
alpha = etaN/alpha |
459 |
|
|
CcnhDebugStarts |
460 |
|
|
C WRITE(0,*) ' CG3D: Iteration ',it3d-1,' alpha= ',alpha |
461 |
|
|
CcnhDebugEnds |
462 |
|
|
|
463 |
|
|
C== Update solution and residual vectors |
464 |
|
|
C Now compute "interior" points. |
465 |
|
|
err = 0. _d 0 |
466 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
467 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
468 |
|
|
DO K=1,Nr |
469 |
|
|
DO J=1,sNy |
470 |
|
|
DO I=1,sNx |
471 |
|
|
cg3d_x(I,J,K,bi,bj)=cg3d_x(I,J,K,bi,bj) |
472 |
|
|
& +alpha*cg3d_s(I,J,K,bi,bj) |
473 |
|
|
cg3d_r(I,J,K,bi,bj)=cg3d_r(I,J,K,bi,bj) |
474 |
|
|
& -alpha*cg3d_q(I,J,K,bi,bj) |
475 |
|
|
err = err+cg3d_r(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
476 |
|
|
ENDDO |
477 |
|
|
ENDDO |
478 |
|
|
ENDDO |
479 |
|
|
ENDDO |
480 |
|
|
ENDDO |
481 |
|
|
|
482 |
adcroft |
1.2 |
_GLOBAL_SUM_R8( err , myThid ) |
483 |
adcroft |
1.1 |
err = SQRT(err) |
484 |
|
|
actualIts = it3d |
485 |
|
|
actualResidual = err |
486 |
|
|
IF ( actualResidual .LT. cg3dTargetResidual ) GOTO 11 |
487 |
|
|
C _EXCH_XYZ_R8(cg3d_r, myThid ) |
488 |
|
|
OLw = 1 |
489 |
|
|
OLe = 1 |
490 |
|
|
OLn = 1 |
491 |
|
|
OLs = 1 |
492 |
|
|
exchWidthX = 1 |
493 |
|
|
exchWidthY = 1 |
494 |
|
|
myNz = Nr |
495 |
|
|
CALL EXCH_RL( cg3d_r, |
496 |
|
|
I OLw, OLe, OLs, OLn, myNz, |
497 |
|
|
I exchWidthX, exchWidthY, |
498 |
|
|
I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
499 |
|
|
|
500 |
|
|
10 CONTINUE |
501 |
|
|
11 CONTINUE |
502 |
|
|
|
503 |
|
|
C-- Un-normalise the answer |
504 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
505 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
506 |
|
|
DO K=1,Nr |
507 |
|
|
DO J=1,sNy |
508 |
|
|
DO I=1,sNx |
509 |
|
|
cg3d_x(I,J,K,bi,bj) = cg3d_x(I,J,K,bi,bj)/rhsNorm |
510 |
|
|
ENDDO |
511 |
|
|
ENDDO |
512 |
|
|
ENDDO |
513 |
|
|
ENDDO |
514 |
|
|
ENDDO |
515 |
|
|
|
516 |
adcroft |
1.3 |
Cadj _EXCH_XYZ_R8(cg3d_x, myThid ) |
517 |
adcroft |
1.1 |
_BEGIN_MASTER( myThid ) |
518 |
|
|
WRITE(0,'(A,I6,1PE30.14)') ' CG3D iters, err = ', |
519 |
|
|
& actualIts, actualResidual |
520 |
|
|
_END_MASTER( ) |
521 |
|
|
|
522 |
|
|
CcnhDebugStarts |
523 |
|
|
C CALL PLOT_FIELD_XYRL( cg2d_x, 'CALC_MOM_RHS CG2D_X' , 1, myThid ) |
524 |
|
|
C err = 0. _d 0 |
525 |
|
|
C DO bj=myByLo(myThid),myByHi(myThid) |
526 |
|
|
C DO bi=myBxLo(myThid),myBxHi(myThid) |
527 |
|
|
C DO J=1,sNy |
528 |
|
|
C DO I=1,sNx |
529 |
|
|
C cg2d_r(I,J,bi,bj) = cg2d_b(I,J,bi,bj) - |
530 |
|
|
C & (aW2d(I ,J ,bi,bj)*cg2d_x(I-1,J ,bi,bj) |
531 |
|
|
C & +aW2d(I+1,J ,bi,bj)*cg2d_x(I+1,J ,bi,bj) |
532 |
|
|
C & +aS2d(I ,J ,bi,bj)*cg2d_x(I ,J-1,bi,bj) |
533 |
|
|
C & +aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J+1,bi,bj) |
534 |
|
|
C & -aW2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
535 |
|
|
C & -aW2d(I+1,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
536 |
|
|
C & -aS2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
537 |
|
|
C & -aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J ,bi,bj)) |
538 |
|
|
C err = err + |
539 |
|
|
C & cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
540 |
|
|
C ENDDO |
541 |
|
|
C ENDDO |
542 |
|
|
C ENDDO |
543 |
|
|
C ENDDO |
544 |
adcroft |
1.2 |
C _GLOBAL_SUM_R8( err , myThid ) |
545 |
adcroft |
1.1 |
C write(0,*) 'cg2d: Ax - b = ',SQRT(err) |
546 |
|
|
CcnhDebugEnds |
547 |
|
|
|
548 |
|
|
#endif /* ALLOW_NONHYDROSTATIC */ |
549 |
|
|
|
550 |
|
|
RETURN |
551 |
|
|
END |