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dgoldberg |
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C $Header: /u/gcmpack/MITgcm/model/src/cg3d.F,v 1.25 2012/05/11 23:34:06 jmc Exp $ |
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C $Name: $ |
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#include "CPP_OPTIONS.h" |
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#ifdef TARGET_NEC_SX |
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C set a sensible default for the outer loop unrolling parameter that can |
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C be overriden in the Makefile with the DEFINES macro or in CPP_OPTIONS.h |
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#ifndef CG3D_OUTERLOOPITERS |
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# define CG3D_OUTERLOOPITERS 10 |
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#endif |
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#endif /* TARGET_NEC_SX */ |
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CBOP |
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C !ROUTINE: CG3D |
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C !INTERFACE: |
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SUBROUTINE CG3D( |
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U cg3d_b, cg3d_x, |
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O firstResidual, lastResidual, |
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U numIters, |
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I myIter, myThid ) |
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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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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 "SURFACE.h" |
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#include "CG3D.h" |
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C !INPUT/OUTPUT PARAMETERS: |
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C === Routine arguments === |
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C cg3d_b :: The source term or "right hand side" (output: normalised RHS) |
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C cg3d_x :: The solution (input: first guess) |
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C firstResidual :: the initial residual before any iterations |
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C minResidualSq :: the lowest residual reached (squared) |
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CC lastResidual :: the actual residual reached |
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C numIters :: Inp: the maximum number of iterations allowed |
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C Out: the actual number of iterations used |
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CC nIterMin :: Inp: decide to store (if >=0) or not (if <0) lowest res. sol. |
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CC Out: iteration number corresponding to lowest residual |
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C myIter :: Current iteration number in simulation |
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C myThid :: my Thread Id number |
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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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INTEGER myIter |
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INTEGER myThid |
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#ifdef ALLOW_NONHYDROSTATIC |
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C !LOCAL VARIABLES: |
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C === Local variables ==== |
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C bi, bj :: tile index in X and Y. |
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C i, j, k :: Loop counters |
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C it3d :: Loop counter for CG iterations |
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C actualIts :: actual CG iteration number |
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C err_sq :: Measure of the square of the residual of Ax - b. |
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C eta_qrN :: Used in computing search directions; suffix N and NM1 |
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C eta_qrNM1 denote current and previous iterations respectively. |
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C cgBeta :: coeff used to update conjugate direction vector "s". |
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C alpha :: coeff used to update solution & residual |
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C sumRHS :: Sum of right-hand-side. Sometimes this is a useful |
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C debugging/trouble shooting diagnostic. For neumann problems |
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C sumRHS needs to be ~0 or it converge at a non-zero residual. |
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C cg2d_min :: used to store solution corresponding to lowest residual. |
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C msgBuf :: Informational/error message buffer |
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INTEGER bi, bj |
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INTEGER i, j, k, it3d |
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INTEGER actualIts |
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INTEGER km1, kp1 |
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_RL maskM1, maskP1 |
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_RL cg3dTolerance_sq |
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_RL err_sq, errTile(nSx,nSy) |
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_RL eta_qrN, eta_qrNtile(nSx,nSy) |
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_RL eta_qrNM1 |
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_RL cgBeta |
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_RL alpha , alphaTile(nSx,nSy) |
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_RL sumRHS, sumRHStile(nSx,nSy) |
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_RL rhsMax |
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_RL rhsNorm |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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LOGICAL printResidual |
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_RL surfFac |
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#ifdef NONLIN_FRSURF |
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INTEGER ks |
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_RL surfTerm(sNx,sNy) |
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#endif /* NONLIN_FRSURF */ |
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CEOP |
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#ifdef ALLOW_PETSC |
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IF (use_cg3d_petsc) THEN |
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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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& * maskC(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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! SUBROUTINE CG3D_PETSC( |
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! U cg3d_x, ! solution vector |
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! U cg3d_b, ! rhs |
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! I tolerance, |
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! U maxIter, |
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! I myIter, |
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! I myThid ) |
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CALL CG3D_PETSC( |
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U cg3d_x, ! solution vector |
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U cg3d_b, ! rhs |
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I cg3dtargetresidual, |
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I numIters, |
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I myIter, |
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I myThid ) |
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ELSE |
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#endif |
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C-- Initialise auxiliary constant, some output variable |
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cg3dTolerance_sq = cg3dTargetResidual*cg3dTargetResidual |
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IF ( select_rStar .NE. 0 ) THEN |
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surfFac = freeSurfFac |
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ELSE |
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surfFac = 0. |
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ENDIF |
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#ifdef NONLIN_FRSURF |
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DO j=1,sNy |
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DO i=1,sNx |
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surfTerm(i,j) = 0. |
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ENDDO |
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ENDDO |
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#endif /* NONLIN_FRSURF */ |
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C-- Initialise inverter |
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eta_qrNM1 = 1. _d 0 |
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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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& * maskC(i,j,k,bi,bj) |
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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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_GLOBAL_MAX_RL( rhsMax, myThid ) |
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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_RL( cg3d_x, myThid ) |
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C-- Initial residual calculation (with free-Surface term) |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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errTile(bi,bj) = 0. _d 0 |
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sumRHStile(bi,bj) = 0. _d 0 |
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#ifdef NONLIN_FRSURF |
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IF ( select_rStar .NE. 0 ) THEN |
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DO j=1,sNy |
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DO i=1,sNx |
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surfTerm(i,j) = 0. |
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ENDDO |
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ENDDO |
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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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surfTerm(i,j) = surfTerm(i,j) |
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& +cg3d_x(i,j,k,bi,bj)*drF(k)*h0FacC(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 j=1,sNy |
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DO i=1,sNx |
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ks = kSurfC(i,j,bi,bj) |
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surfTerm(i,j) = surfTerm(i,j)*cg3dNorm |
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& *recip_Rcol(i,j,bi,bj)*recip_Rcol(i,j,bi,bj) |
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& *rA(i,j,bi,bj)*deepFac2F(ks) |
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& *recip_Bo(i,j,bi,bj)/deltaTMom/deltaTfreesurf |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* NONLIN_FRSURF */ |
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DO k=1,Nr |
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km1 = MAX(k-1, 1 ) |
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kp1 = MIN(k+1, Nr) |
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maskM1 = 1. _d 0 |
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maskP1 = 1. _d 0 |
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IF ( k .EQ. 1 ) maskM1 = 0. _d 0 |
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IF ( k .EQ. Nr) maskP1 = 0. _d 0 |
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#ifdef TARGET_NEC_SX |
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!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
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#endif /* TARGET_NEC_SX */ |
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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) |
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& -( 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)*maskM1 |
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& +aV3d( i, j,kp1,bi,bj)*cg3d_x( i, j,kp1,bi,bj)*maskP1 |
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& +aC3d( i, j, k, bi,bj)*cg3d_x( i, j, k, bi,bj) |
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#ifdef NONLIN_FRSURF |
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& -surfFac*surfTerm(i,j)*drF(k)*h0FacC(i,j,k,bi,bj) |
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#endif /* NONLIN_FRSURF */ |
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& ) |
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errTile(bi,bj) = errTile(bi,bj) |
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& +cg3d_r(i,j,k,bi,bj)*cg3d_r(i,j,k,bi,bj) |
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sumRHStile(bi,bj) = sumRHStile(bi,bj)+cg3d_b(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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DO j=0,sNy+1 |
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DO i=0,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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ENDDO |
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ENDDO |
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ENDDO |
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CALL EXCH_S3D_RL( cg3d_r, Nr, myThid ) |
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CALL GLOBAL_SUM_TILE_RL( sumRHStile, sumRHS, myThid ) |
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CALL GLOBAL_SUM_TILE_RL( errTile, err_sq, myThid ) |
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IF ( debugLevel.GE.debLevC .AND. diagFreq.GT.0. ) THEN |
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CALL WRITE_FLD_S3D_RL( |
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I 'cg3d_r_I', 'I10', 1, Nr, cg3d_r, myIter, myThid ) |
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ENDIF |
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actualIts = 0 |
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firstResidual = SQRT(err_sq) |
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printResidual = .FALSE. |
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IF ( debugLevel .GE. debLevZero ) THEN |
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_BEGIN_MASTER( myThid ) |
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printResidual = printResidualFreq.GE.1 |
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WRITE(standardmessageunit,'(A,1P2E22.14)') |
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& ' cg3d: Sum(rhs),rhsMax = ',sumRHS,rhsMax |
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_END_MASTER( myThid ) |
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ENDIF |
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IF ( err_sq .LT. cg3dTolerance_sq ) GOTO 11 |
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C >>>>>>>>>>>>>>> BEGIN SOLVER <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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DO 10 it3d=1, numIters |
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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 two 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 eta_qrN for the interior points. |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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eta_qrNtile(bi,bj) = 0. _d 0 |
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DO k=1,1 |
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#ifdef TARGET_NEC_SX |
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!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
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#endif /* TARGET_NEC_SX */ |
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DO j=0,sNy+1 |
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DO i=0,sNx+1 |
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cg3d_q(i,j,k,bi,bj) = zMC(i,j,k,bi,bj) |
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& *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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#ifdef TARGET_NEC_SX |
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!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
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#endif /* TARGET_NEC_SX */ |
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DO j=0,sNy+1 |
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DO i=0,sNx+1 |
| 328 |
|
|
cg3d_q(i,j,k,bi,bj) = zMC(i,j,k,bi,bj) |
| 329 |
|
|
& *( cg3d_r(i,j,k,bi,bj) |
| 330 |
|
|
& -zML(i,j,k,bi,bj)*cg3d_q(i,j,k-1,bi,bj) |
| 331 |
|
|
& ) |
| 332 |
|
|
ENDDO |
| 333 |
|
|
ENDDO |
| 334 |
|
|
ENDDO |
| 335 |
|
|
DO k=Nr,Nr |
| 336 |
|
|
#ifdef TARGET_NEC_SX |
| 337 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
| 338 |
|
|
#endif /* TARGET_NEC_SX */ |
| 339 |
|
|
DO j=1,sNy |
| 340 |
|
|
DO i=1,sNx |
| 341 |
|
|
eta_qrNtile(bi,bj) = eta_qrNtile(bi,bj) |
| 342 |
|
|
& +cg3d_q(i,j,k,bi,bj)*cg3d_r(i,j,k,bi,bj) |
| 343 |
|
|
ENDDO |
| 344 |
|
|
ENDDO |
| 345 |
|
|
ENDDO |
| 346 |
|
|
DO k=Nr-1,1,-1 |
| 347 |
|
|
#ifdef TARGET_NEC_SX |
| 348 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
| 349 |
|
|
#endif /* TARGET_NEC_SX */ |
| 350 |
|
|
DO j=0,sNy+1 |
| 351 |
|
|
DO i=0,sNx+1 |
| 352 |
|
|
cg3d_q(i,j,k,bi,bj) = cg3d_q(i,j,k,bi,bj) |
| 353 |
|
|
& -zMU(i,j,k,bi,bj)*cg3d_q(i,j,k+1,bi,bj) |
| 354 |
|
|
ENDDO |
| 355 |
|
|
ENDDO |
| 356 |
|
|
#ifdef TARGET_NEC_SX |
| 357 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
| 358 |
|
|
#endif /* TARGET_NEC_SX */ |
| 359 |
|
|
DO j=1,sNy |
| 360 |
|
|
DO i=1,sNx |
| 361 |
|
|
eta_qrNtile(bi,bj) = eta_qrNtile(bi,bj) |
| 362 |
|
|
& +cg3d_q(i,j,k,bi,bj)*cg3d_r(i,j,k,bi,bj) |
| 363 |
|
|
ENDDO |
| 364 |
|
|
ENDDO |
| 365 |
|
|
ENDDO |
| 366 |
|
|
ENDDO |
| 367 |
|
|
ENDDO |
| 368 |
|
|
|
| 369 |
|
|
CALL GLOBAL_SUM_TILE_RL( eta_qrNtile,eta_qrN,myThid ) |
| 370 |
|
|
cgBeta = eta_qrN/eta_qrNM1 |
| 371 |
|
|
CcnhDebugStarts |
| 372 |
|
|
c WRITE(*,*) ' CG3D: Iteration ', it3d-1, |
| 373 |
|
|
c & ' eta_qrN=', eta_qrN, ' beta=', cgBeta |
| 374 |
|
|
CcnhDebugEnds |
| 375 |
|
|
eta_qrNM1 = eta_qrN |
| 376 |
|
|
|
| 377 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 378 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 379 |
|
|
DO k=1,Nr |
| 380 |
|
|
DO j=0,sNy+1 |
| 381 |
|
|
DO i=0,sNx+1 |
| 382 |
|
|
cg3d_s(i,j,k,bi,bj) = cg3d_q(i,j,k,bi,bj) |
| 383 |
|
|
& + cgBeta*cg3d_s(i,j,k,bi,bj) |
| 384 |
|
|
ENDDO |
| 385 |
|
|
ENDDO |
| 386 |
|
|
ENDDO |
| 387 |
|
|
ENDDO |
| 388 |
|
|
ENDDO |
| 389 |
|
|
|
| 390 |
|
|
C== Evaluate laplace operator on conjugate gradient vector |
| 391 |
|
|
C== q = A.s |
| 392 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 393 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 394 |
|
|
alphaTile(bi,bj) = 0. _d 0 |
| 395 |
|
|
#ifdef NONLIN_FRSURF |
| 396 |
|
|
IF ( select_rStar .NE. 0 ) THEN |
| 397 |
|
|
DO j=1,sNy |
| 398 |
|
|
DO i=1,sNx |
| 399 |
|
|
surfTerm(i,j) = 0. |
| 400 |
|
|
ENDDO |
| 401 |
|
|
ENDDO |
| 402 |
|
|
DO k=1,Nr |
| 403 |
|
|
DO j=1,sNy |
| 404 |
|
|
DO i=1,sNx |
| 405 |
|
|
surfTerm(i,j) = surfTerm(i,j) |
| 406 |
|
|
& +cg3d_s(i,j,k,bi,bj)*drF(k)*h0FacC(i,j,k,bi,bj) |
| 407 |
|
|
ENDDO |
| 408 |
|
|
ENDDO |
| 409 |
|
|
ENDDO |
| 410 |
|
|
DO j=1,sNy |
| 411 |
|
|
DO i=1,sNx |
| 412 |
|
|
ks = kSurfC(i,j,bi,bj) |
| 413 |
|
|
surfTerm(i,j) = surfTerm(i,j)*cg3dNorm |
| 414 |
|
|
& *recip_Rcol(i,j,bi,bj)*recip_Rcol(i,j,bi,bj) |
| 415 |
|
|
& *rA(i,j,bi,bj)*deepFac2F(ks) |
| 416 |
|
|
& *recip_Bo(i,j,bi,bj)/deltaTMom/deltaTfreesurf |
| 417 |
|
|
ENDDO |
| 418 |
|
|
ENDDO |
| 419 |
|
|
ENDIF |
| 420 |
|
|
#endif /* NONLIN_FRSURF */ |
| 421 |
|
|
IF ( Nr .GT. 1 ) THEN |
| 422 |
|
|
k=1 |
| 423 |
|
|
#ifdef TARGET_NEC_SX |
| 424 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
| 425 |
|
|
#endif /* TARGET_NEC_SX */ |
| 426 |
|
|
DO j=1,sNy |
| 427 |
|
|
DO i=1,sNx |
| 428 |
|
|
cg3d_q(i,j,k,bi,bj) = |
| 429 |
|
|
& aW3d( i, j, k, bi,bj)*cg3d_s(i-1,j, k, bi,bj) |
| 430 |
|
|
& +aW3d(i+1,j, k, bi,bj)*cg3d_s(i+1,j, k, bi,bj) |
| 431 |
|
|
& +aS3d( i, j, k, bi,bj)*cg3d_s( i,j-1,k, bi,bj) |
| 432 |
|
|
& +aS3d( i,j+1,k, bi,bj)*cg3d_s( i,j+1,k, bi,bj) |
| 433 |
|
|
& +aV3d( i, j,k+1,bi,bj)*cg3d_s( i, j,k+1,bi,bj) |
| 434 |
|
|
& +aC3d( i, j, k, bi,bj)*cg3d_s( i, j, k, bi,bj) |
| 435 |
|
|
#ifdef NONLIN_FRSURF |
| 436 |
|
|
& -surfFac*surfTerm(i,j)*drF(k)*h0FacC(i,j,k,bi,bj) |
| 437 |
|
|
#endif /* NONLIN_FRSURF */ |
| 438 |
|
|
alphaTile(bi,bj) = alphaTile(bi,bj) |
| 439 |
|
|
& +cg3d_s(i,j,k,bi,bj)*cg3d_q(i,j,k,bi,bj) |
| 440 |
|
|
ENDDO |
| 441 |
|
|
ENDDO |
| 442 |
|
|
ELSE |
| 443 |
|
|
k=1 |
| 444 |
|
|
#ifdef TARGET_NEC_SX |
| 445 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
| 446 |
|
|
#endif /* TARGET_NEC_SX */ |
| 447 |
|
|
DO j=1,sNy |
| 448 |
|
|
DO i=1,sNx |
| 449 |
|
|
cg3d_q(i,j,k,bi,bj) = |
| 450 |
|
|
& aW3d( i, j, k, bi,bj)*cg3d_s(i-1,j, k, bi,bj) |
| 451 |
|
|
& +aW3d(i+1,j, k, bi,bj)*cg3d_s(i+1,j, k, bi,bj) |
| 452 |
|
|
& +aS3d( i, j, k, bi,bj)*cg3d_s( i,j-1,k, bi,bj) |
| 453 |
|
|
& +aS3d( i,j+1,k, bi,bj)*cg3d_s( i,j+1,k, bi,bj) |
| 454 |
|
|
& +aC3d( i, j, k, bi,bj)*cg3d_s( i, j, k, bi,bj) |
| 455 |
|
|
#ifdef NONLIN_FRSURF |
| 456 |
|
|
& -surfFac*surfTerm(i,j)*drF(k)*h0FacC(i,j,k,bi,bj) |
| 457 |
|
|
#endif /* NONLIN_FRSURF */ |
| 458 |
|
|
alphaTile(bi,bj) = alphaTile(bi,bj) |
| 459 |
|
|
& +cg3d_s(i,j,k,bi,bj)*cg3d_q(i,j,k,bi,bj) |
| 460 |
|
|
ENDDO |
| 461 |
|
|
ENDDO |
| 462 |
|
|
ENDIF |
| 463 |
|
|
DO k=2,Nr-1 |
| 464 |
|
|
#ifdef TARGET_NEC_SX |
| 465 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
| 466 |
|
|
#endif /* TARGET_NEC_SX */ |
| 467 |
|
|
DO j=1,sNy |
| 468 |
|
|
DO i=1,sNx |
| 469 |
|
|
cg3d_q(i,j,k,bi,bj) = |
| 470 |
|
|
& aW3d( i, j, k, bi,bj)*cg3d_s(i-1,j, k, bi,bj) |
| 471 |
|
|
& +aW3d(i+1,j, k, bi,bj)*cg3d_s(i+1,j, k, bi,bj) |
| 472 |
|
|
& +aS3d( i, j, k, bi,bj)*cg3d_s( i,j-1,k, bi,bj) |
| 473 |
|
|
& +aS3d( i,j+1,k, bi,bj)*cg3d_s( i,j+1,k, bi,bj) |
| 474 |
|
|
& +aV3d( i, j, k, bi,bj)*cg3d_s( i, j,k-1,bi,bj) |
| 475 |
|
|
& +aV3d( i, j,k+1,bi,bj)*cg3d_s( i, j,k+1,bi,bj) |
| 476 |
|
|
& +aC3d( i, j, k, bi,bj)*cg3d_s( i, j, k, bi,bj) |
| 477 |
|
|
#ifdef NONLIN_FRSURF |
| 478 |
|
|
& -surfFac*surfTerm(i,j)*drF(k)*h0FacC(i,j,k,bi,bj) |
| 479 |
|
|
#endif /* NONLIN_FRSURF */ |
| 480 |
|
|
alphaTile(bi,bj) = alphaTile(bi,bj) |
| 481 |
|
|
& +cg3d_s(i,j,k,bi,bj)*cg3d_q(i,j,k,bi,bj) |
| 482 |
|
|
ENDDO |
| 483 |
|
|
ENDDO |
| 484 |
|
|
ENDDO |
| 485 |
|
|
IF ( Nr .GT. 1 ) THEN |
| 486 |
|
|
k=Nr |
| 487 |
|
|
#ifdef TARGET_NEC_SX |
| 488 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
| 489 |
|
|
#endif /* TARGET_NEC_SX */ |
| 490 |
|
|
DO j=1,sNy |
| 491 |
|
|
DO i=1,sNx |
| 492 |
|
|
cg3d_q(i,j,k,bi,bj) = |
| 493 |
|
|
& aW3d( i, j, k, bi,bj)*cg3d_s(i-1,j, k, bi,bj) |
| 494 |
|
|
& +aW3d(i+1,j, k, bi,bj)*cg3d_s(i+1,j, k, bi,bj) |
| 495 |
|
|
& +aS3d( i, j, k, bi,bj)*cg3d_s( i,j-1,k, bi,bj) |
| 496 |
|
|
& +aS3d( i,j+1,k, bi,bj)*cg3d_s( i,j+1,k, bi,bj) |
| 497 |
|
|
& +aV3d( i, j, k, bi,bj)*cg3d_s( i, j,k-1,bi,bj) |
| 498 |
|
|
& +aC3d( i, j, k, bi,bj)*cg3d_s( i, j, k, bi,bj) |
| 499 |
|
|
#ifdef NONLIN_FRSURF |
| 500 |
|
|
& -surfFac*surfTerm(i,j)*drF(k)*h0FacC(i,j,k,bi,bj) |
| 501 |
|
|
#endif /* NONLIN_FRSURF */ |
| 502 |
|
|
alphaTile(bi,bj) = alphaTile(bi,bj) |
| 503 |
|
|
& +cg3d_s(i,j,k,bi,bj)*cg3d_q(i,j,k,bi,bj) |
| 504 |
|
|
ENDDO |
| 505 |
|
|
ENDDO |
| 506 |
|
|
ENDIF |
| 507 |
|
|
ENDDO |
| 508 |
|
|
ENDDO |
| 509 |
|
|
CALL GLOBAL_SUM_TILE_RL( alphaTile, alpha, myThid ) |
| 510 |
|
|
CcnhDebugStarts |
| 511 |
|
|
c WRITE(*,*) ' CG3D: Iteration ', it3d-1, |
| 512 |
|
|
c & ' SUM(s*q)=', alpha, ' alpha=', eta_qrN/alpha |
| 513 |
|
|
CcnhDebugEnds |
| 514 |
|
|
alpha = eta_qrN/alpha |
| 515 |
|
|
|
| 516 |
|
|
C== Update simultaneously solution and residual vectors (and Iter number) |
| 517 |
|
|
C Now compute "interior" points. |
| 518 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 519 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 520 |
|
|
errTile(bi,bj) = 0. _d 0 |
| 521 |
|
|
DO k=1,Nr |
| 522 |
|
|
#ifdef TARGET_NEC_SX |
| 523 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
| 524 |
|
|
#endif /* TARGET_NEC_SX */ |
| 525 |
|
|
DO j=1,sNy |
| 526 |
|
|
DO i=1,sNx |
| 527 |
|
|
cg3d_x(i,j,k,bi,bj)=cg3d_x(i,j,k,bi,bj) |
| 528 |
|
|
& +alpha*cg3d_s(i,j,k,bi,bj) |
| 529 |
|
|
cg3d_r(i,j,k,bi,bj)=cg3d_r(i,j,k,bi,bj) |
| 530 |
|
|
& -alpha*cg3d_q(i,j,k,bi,bj) |
| 531 |
|
|
errTile(bi,bj) = errTile(bi,bj) |
| 532 |
|
|
& +cg3d_r(i,j,k,bi,bj)*cg3d_r(i,j,k,bi,bj) |
| 533 |
|
|
ENDDO |
| 534 |
|
|
ENDDO |
| 535 |
|
|
ENDDO |
| 536 |
|
|
ENDDO |
| 537 |
|
|
ENDDO |
| 538 |
|
|
actualIts = it3d |
| 539 |
|
|
|
| 540 |
|
|
CALL GLOBAL_SUM_TILE_RL( errTile, err_sq, myThid ) |
| 541 |
|
|
IF ( printResidual ) THEN |
| 542 |
|
|
IF ( MOD( it3d-1, printResidualFreq ).EQ.0 ) THEN |
| 543 |
|
|
WRITE(msgBuf,'(A,I6,A,1PE21.14)') |
| 544 |
|
|
& ' cg3d: iter=', it3d, ' ; resid.= ', SQRT(err_sq) |
| 545 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 546 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 547 |
|
|
ENDIF |
| 548 |
|
|
ENDIF |
| 549 |
|
|
IF ( err_sq .LT. cg3dTolerance_sq ) GOTO 11 |
| 550 |
|
|
CALL EXCH_S3D_RL( cg3d_r, Nr, myThid ) |
| 551 |
|
|
|
| 552 |
|
|
10 CONTINUE |
| 553 |
|
|
11 CONTINUE |
| 554 |
|
|
|
| 555 |
|
|
IF ( debugLevel.GE.debLevC .AND. diagFreq.GT.0. ) THEN |
| 556 |
|
|
CALL WRITE_FLD_S3D_RL( |
| 557 |
|
|
I 'cg3d_r_F', 'I10', 1, Nr, cg3d_r, myIter, myThid ) |
| 558 |
|
|
ENDIF |
| 559 |
|
|
|
| 560 |
|
|
C-- Un-normalise the answer |
| 561 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 562 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 563 |
|
|
DO k=1,Nr |
| 564 |
|
|
DO j=1,sNy |
| 565 |
|
|
DO i=1,sNx |
| 566 |
|
|
cg3d_x(i,j,k,bi,bj) = cg3d_x(i,j,k,bi,bj)/rhsNorm |
| 567 |
|
|
ENDDO |
| 568 |
|
|
ENDDO |
| 569 |
|
|
ENDDO |
| 570 |
|
|
ENDDO |
| 571 |
|
|
ENDDO |
| 572 |
|
|
|
| 573 |
|
|
C-- Return parameters to caller |
| 574 |
|
|
lastResidual = SQRT(err_sq) |
| 575 |
|
|
numIters = actualIts |
| 576 |
|
|
|
| 577 |
|
|
|
| 578 |
|
|
#ifdef ALLOW_PETSC |
| 579 |
|
|
ENDIF |
| 580 |
|
|
#endif |
| 581 |
|
|
|
| 582 |
|
|
#endif /* ALLOW_NONHYDROSTATIC */ |
| 583 |
|
|
|
| 584 |
|
|
RETURN |
| 585 |
|
|
END |
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