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adcroft |
1.2 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/cg3d.F,v 1.1 1999/03/22 15:54:03 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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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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CcnhDebugStarts |
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CHARACTER*(MAX_LEN_FNAM) suff |
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CcnhDebugEnds |
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#ifdef ALLOW_NONHYDROSTATIC |
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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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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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#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 |
| 292 |
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cg3d_q(I,J,K,bi,bj) = |
| 293 |
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& zMC(I,J,K,bi,bj)*(cg3d_r(I,J,K ,bi,bj) |
| 294 |
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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 |
| 300 |
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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) |
| 304 |
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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 |
| 317 |
|
|
DO I=1-1,sNx+1 |
| 318 |
|
|
cg3d_q(I,J,K,bi,bj) = |
| 319 |
|
|
& cg3d_q(I,J,K,bi,bj) |
| 320 |
|
|
& -zMU(I,J,K,bi,bj)*cg3d_q(I,J,K+1,bi,bj) |
| 321 |
|
|
ENDDO |
| 322 |
|
|
ENDDO |
| 323 |
|
|
DO J=1,sNy |
| 324 |
|
|
DO I=1,sNx |
| 325 |
|
|
etaN = etaN |
| 326 |
|
|
& +cg3d_q(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
| 327 |
|
|
ENDDO |
| 328 |
|
|
ENDDO |
| 329 |
|
|
ENDDO |
| 330 |
|
|
ENDDO |
| 331 |
|
|
ENDDO |
| 332 |
|
|
caja |
| 333 |
|
|
caja etaN=0. |
| 334 |
|
|
caja DO bj=myByLo(myThid),myByHi(myThid) |
| 335 |
|
|
caja DO bi=myBxLo(myThid),myBxHi(myThid) |
| 336 |
|
|
caja DO K=1,Nr |
| 337 |
|
|
caja DO J=1,sNy |
| 338 |
|
|
caja DO I=1,sNx |
| 339 |
|
|
caja etaN = etaN |
| 340 |
|
|
caja & +cg3d_q(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
| 341 |
|
|
caja ENDDO |
| 342 |
|
|
caja ENDDO |
| 343 |
|
|
caja ENDDO |
| 344 |
|
|
caja ENDDO |
| 345 |
|
|
caja ENDDO |
| 346 |
|
|
caja |
| 347 |
|
|
|
| 348 |
adcroft |
1.2 |
_GLOBAL_SUM_R8(etaN, myThid) |
| 349 |
adcroft |
1.1 |
CcnhDebugStarts |
| 350 |
|
|
C WRITE(0,*) ' CG3D: Iteration ',it3d-1,' etaN = ',etaN |
| 351 |
|
|
CcnhDebugEnds |
| 352 |
|
|
cgBeta = etaN/etaNM1 |
| 353 |
|
|
CcnhDebugStarts |
| 354 |
|
|
C WRITE(0,*) ' CG3D: Iteration ',it3d-1,' beta = ',cgBeta |
| 355 |
|
|
CcnhDebugEnds |
| 356 |
|
|
etaNM1 = etaN |
| 357 |
|
|
|
| 358 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 359 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 360 |
|
|
DO K=1,Nr |
| 361 |
|
|
DO J=1-1,sNy+1 |
| 362 |
|
|
DO I=1-1,sNx+1 |
| 363 |
|
|
cg3d_s(I,J,K,bi,bj) = cg3d_q(I,J,K,bi,bj) |
| 364 |
|
|
& + cgBeta*cg3d_s(I,J,K,bi,bj) |
| 365 |
|
|
ENDDO |
| 366 |
|
|
ENDDO |
| 367 |
|
|
ENDDO |
| 368 |
|
|
ENDDO |
| 369 |
|
|
ENDDO |
| 370 |
|
|
|
| 371 |
|
|
C== Evaluate laplace operator on conjugate gradient vector |
| 372 |
|
|
C== q = A.s |
| 373 |
|
|
alpha = 0. _d 0 |
| 374 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 375 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 376 |
|
|
IF ( Nr .GT. 1 ) THEN |
| 377 |
|
|
DO K=1,1 |
| 378 |
|
|
DO J=1,sNy |
| 379 |
|
|
DO I=1,sNx |
| 380 |
|
|
cg3d_q(I,J,K,bi,bj) = |
| 381 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
| 382 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
| 383 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
| 384 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
| 385 |
|
|
& +aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K+1,bi,bj) |
| 386 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 387 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 388 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 389 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 390 |
|
|
& -aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 391 |
|
|
& -freeSurfFac*_rA(i,j,bi,bj)* horiVertRatio* |
| 392 |
|
|
& cg3d_s(I ,J ,K,bi,bj)/deltaTMom/deltaTMom*cg3dNorm |
| 393 |
|
|
alpha = alpha+cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
| 394 |
|
|
ENDDO |
| 395 |
|
|
ENDDO |
| 396 |
|
|
ENDDO |
| 397 |
|
|
ELSE |
| 398 |
|
|
DO K=1,1 |
| 399 |
|
|
DO J=1,sNy |
| 400 |
|
|
DO I=1,sNx |
| 401 |
|
|
cg3d_q(I,J,K,bi,bj) = |
| 402 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
| 403 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
| 404 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
| 405 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
| 406 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 407 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 408 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 409 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 410 |
|
|
& -freeSurfFac*_rA(i,j,bi,bj)* horiVertRatio* |
| 411 |
|
|
& cg3d_s(I ,J ,K,bi,bj)/deltaTMom/deltaTMom*cg3dNorm |
| 412 |
|
|
alpha = alpha+cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
| 413 |
|
|
ENDDO |
| 414 |
|
|
ENDDO |
| 415 |
|
|
ENDDO |
| 416 |
|
|
ENDIF |
| 417 |
|
|
DO K=2,Nr-1 |
| 418 |
|
|
DO J=1,sNy |
| 419 |
|
|
DO I=1,sNx |
| 420 |
|
|
cg3d_q(I,J,K,bi,bj) = |
| 421 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
| 422 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
| 423 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
| 424 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
| 425 |
|
|
& +aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K-1,bi,bj) |
| 426 |
|
|
& +aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K+1,bi,bj) |
| 427 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 428 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 429 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 430 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 431 |
|
|
& -aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 432 |
|
|
& -aV3d(I ,J ,K+1,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 433 |
|
|
alpha = alpha+cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
| 434 |
|
|
ENDDO |
| 435 |
|
|
ENDDO |
| 436 |
|
|
ENDDO |
| 437 |
|
|
IF ( Nr .GT. 1 ) THEN |
| 438 |
|
|
DO K=Nr,Nr |
| 439 |
|
|
DO J=1,sNy |
| 440 |
|
|
DO I=1,sNx |
| 441 |
|
|
cg3d_q(I,J,K,bi,bj) = |
| 442 |
|
|
& aW3d(I ,J ,K ,bi,bj)*cg3d_s(I-1,J ,K ,bi,bj) |
| 443 |
|
|
& +aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I+1,J ,K ,bi,bj) |
| 444 |
|
|
& +aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J-1,K ,bi,bj) |
| 445 |
|
|
& +aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J+1,K ,bi,bj) |
| 446 |
|
|
& +aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K-1,bi,bj) |
| 447 |
|
|
& -aW3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 448 |
|
|
& -aW3d(I+1,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 449 |
|
|
& -aS3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 450 |
|
|
& -aS3d(I ,J+1,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 451 |
|
|
& -aV3d(I ,J ,K ,bi,bj)*cg3d_s(I ,J ,K ,bi,bj) |
| 452 |
|
|
alpha = alpha+cg3d_s(I,J,K,bi,bj)*cg3d_q(I,J,K,bi,bj) |
| 453 |
|
|
ENDDO |
| 454 |
|
|
ENDDO |
| 455 |
|
|
ENDDO |
| 456 |
|
|
ENDIF |
| 457 |
|
|
ENDDO |
| 458 |
|
|
ENDDO |
| 459 |
adcroft |
1.2 |
_GLOBAL_SUM_R8(alpha,myThid) |
| 460 |
adcroft |
1.1 |
CcnhDebugStarts |
| 461 |
|
|
C WRITE(0,*) ' CG3D: Iteration ',it3d-1,' SUM(s*q)= ',alpha |
| 462 |
|
|
CcnhDebugEnds |
| 463 |
|
|
alpha = etaN/alpha |
| 464 |
|
|
CcnhDebugStarts |
| 465 |
|
|
C WRITE(0,*) ' CG3D: Iteration ',it3d-1,' alpha= ',alpha |
| 466 |
|
|
CcnhDebugEnds |
| 467 |
|
|
|
| 468 |
|
|
C== Update solution and residual vectors |
| 469 |
|
|
C Now compute "interior" points. |
| 470 |
|
|
err = 0. _d 0 |
| 471 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 472 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 473 |
|
|
DO K=1,Nr |
| 474 |
|
|
DO J=1,sNy |
| 475 |
|
|
DO I=1,sNx |
| 476 |
|
|
cg3d_x(I,J,K,bi,bj)=cg3d_x(I,J,K,bi,bj) |
| 477 |
|
|
& +alpha*cg3d_s(I,J,K,bi,bj) |
| 478 |
|
|
cg3d_r(I,J,K,bi,bj)=cg3d_r(I,J,K,bi,bj) |
| 479 |
|
|
& -alpha*cg3d_q(I,J,K,bi,bj) |
| 480 |
|
|
err = err+cg3d_r(I,J,K,bi,bj)*cg3d_r(I,J,K,bi,bj) |
| 481 |
|
|
ENDDO |
| 482 |
|
|
ENDDO |
| 483 |
|
|
ENDDO |
| 484 |
|
|
ENDDO |
| 485 |
|
|
ENDDO |
| 486 |
|
|
|
| 487 |
adcroft |
1.2 |
_GLOBAL_SUM_R8( err , myThid ) |
| 488 |
adcroft |
1.1 |
err = SQRT(err) |
| 489 |
|
|
actualIts = it3d |
| 490 |
|
|
actualResidual = err |
| 491 |
|
|
IF ( actualResidual .LT. cg3dTargetResidual ) GOTO 11 |
| 492 |
|
|
C _EXCH_XYZ_R8(cg3d_r, myThid ) |
| 493 |
|
|
OLw = 1 |
| 494 |
|
|
OLe = 1 |
| 495 |
|
|
OLn = 1 |
| 496 |
|
|
OLs = 1 |
| 497 |
|
|
exchWidthX = 1 |
| 498 |
|
|
exchWidthY = 1 |
| 499 |
|
|
myNz = Nr |
| 500 |
|
|
CALL EXCH_RL( cg3d_r, |
| 501 |
|
|
I OLw, OLe, OLs, OLn, myNz, |
| 502 |
|
|
I exchWidthX, exchWidthY, |
| 503 |
|
|
I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
| 504 |
|
|
|
| 505 |
|
|
10 CONTINUE |
| 506 |
|
|
11 CONTINUE |
| 507 |
|
|
|
| 508 |
|
|
C-- Un-normalise the answer |
| 509 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 510 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 511 |
|
|
DO K=1,Nr |
| 512 |
|
|
DO J=1,sNy |
| 513 |
|
|
DO I=1,sNx |
| 514 |
|
|
cg3d_x(I,J,K,bi,bj) = cg3d_x(I,J,K,bi,bj)/rhsNorm |
| 515 |
|
|
ENDDO |
| 516 |
|
|
ENDDO |
| 517 |
|
|
ENDDO |
| 518 |
|
|
ENDDO |
| 519 |
|
|
ENDDO |
| 520 |
|
|
|
| 521 |
|
|
_EXCH_XYZ_R8(cg3d_x, myThid ) |
| 522 |
|
|
_BEGIN_MASTER( myThid ) |
| 523 |
|
|
WRITE(0,'(A,I6,1PE30.14)') ' CG3D iters, err = ', |
| 524 |
|
|
& actualIts, actualResidual |
| 525 |
|
|
_END_MASTER( ) |
| 526 |
|
|
|
| 527 |
|
|
CcnhDebugStarts |
| 528 |
|
|
C CALL PLOT_FIELD_XYRL( cg2d_x, 'CALC_MOM_RHS CG2D_X' , 1, myThid ) |
| 529 |
|
|
C err = 0. _d 0 |
| 530 |
|
|
C DO bj=myByLo(myThid),myByHi(myThid) |
| 531 |
|
|
C DO bi=myBxLo(myThid),myBxHi(myThid) |
| 532 |
|
|
C DO J=1,sNy |
| 533 |
|
|
C DO I=1,sNx |
| 534 |
|
|
C cg2d_r(I,J,bi,bj) = cg2d_b(I,J,bi,bj) - |
| 535 |
|
|
C & (aW2d(I ,J ,bi,bj)*cg2d_x(I-1,J ,bi,bj) |
| 536 |
|
|
C & +aW2d(I+1,J ,bi,bj)*cg2d_x(I+1,J ,bi,bj) |
| 537 |
|
|
C & +aS2d(I ,J ,bi,bj)*cg2d_x(I ,J-1,bi,bj) |
| 538 |
|
|
C & +aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J+1,bi,bj) |
| 539 |
|
|
C & -aW2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
| 540 |
|
|
C & -aW2d(I+1,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
| 541 |
|
|
C & -aS2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
| 542 |
|
|
C & -aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J ,bi,bj)) |
| 543 |
|
|
C err = err + |
| 544 |
|
|
C & cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
| 545 |
|
|
C ENDDO |
| 546 |
|
|
C ENDDO |
| 547 |
|
|
C ENDDO |
| 548 |
|
|
C ENDDO |
| 549 |
adcroft |
1.2 |
C _GLOBAL_SUM_R8( err , myThid ) |
| 550 |
adcroft |
1.1 |
C write(0,*) 'cg2d: Ax - b = ',SQRT(err) |
| 551 |
|
|
CcnhDebugEnds |
| 552 |
|
|
|
| 553 |
|
|
#endif /* ALLOW_NONHYDROSTATIC */ |
| 554 |
|
|
|
| 555 |
|
|
RETURN |
| 556 |
|
|
END |
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