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jmc |
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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_EX0 |
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C !INTERFACE: |
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SUBROUTINE CG3D_EX0( |
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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_EX0 |
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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 | This is the disconnected-tile version (each tile treated |
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C | independently as a small domain, with locally periodic |
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C | BC at the edges. |
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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 matrix |
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C | of the form that arises in the discrete representation of |
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C | the del^2 operator in a three-dimensional space. |
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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(nSx,nSy) |
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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_qrNtile(nSx,nSy) |
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_RL eta_qrNM1(nSx,nSy) |
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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, rhsMaxLoc |
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_RL rhsNorm(nSx,nSy) |
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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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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 and 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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actualIts(bi,bj) = 0 |
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eta_qrNM1(bi,bj) = 1. _d 0 |
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rhsMaxLoc = 0. _d 0 |
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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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rhsMaxLoc = MAX(ABS(cg3d_b(i,j,k,bi,bj)),rhsMaxLoc) |
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ENDDO |
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ENDDO |
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ENDDO |
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rhsNorm(bi,bj) = 1. _d 0 |
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IF ( rhsMaxLoc .NE. 0. ) rhsNorm(bi,bj) = 1. _d 0 / rhsMaxLoc |
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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(bi,bj) |
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cg3d_x(i,j,k,bi,bj) = cg3d_x(i,j,k,bi,bj)*rhsNorm(bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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rhsMax = MAX( rhsMaxLoc, rhsMax ) |
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ENDDO |
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ENDDO |
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_GLOBAL_MAX_RL( rhsMax, myThid ) |
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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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err_sq = 0. |
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sumRHS = 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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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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err_sq = MAX( errTile(bi,bj), err_sq ) |
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sumRHS = MAX( ABS(sumRHStile(bi,bj)), sumRHS ) |
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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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_GLOBAL_MAX_RL( err_sq, myThid ) |
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_GLOBAL_MAX_RL( sumRHS, 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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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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c IF ( err_sq .LT. cg3dTolerance_sq ) GOTO 11 |
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C >>>>>>>>>>>>>>> BEGIN SOLVER <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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DO it3d=1, numIters |
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IF ( err_sq.GE.cg3dTolerance_sq ) THEN |
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err_sq = 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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IF ( errTile(bi,bj).GE.cg3dTolerance_sq ) THEN |
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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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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 |
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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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& -zML(i,j,k,bi,bj)*cg3d_q(i,j,k-1,bi,bj) |
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& ) |
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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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#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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eta_qrNtile(bi,bj) = eta_qrNtile(bi,bj) |
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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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#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) = 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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#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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eta_qrNtile(bi,bj) = eta_qrNtile(bi,bj) |
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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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cgBeta = eta_qrNtile(bi,bj)/eta_qrNM1(bi,bj) |
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eta_qrNM1(bi,bj) = eta_qrNtile(bi,bj) |
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DO k=1,Nr |
330 |
|
|
DO j=0,sNy+1 |
331 |
|
|
DO i=0,sNx+1 |
332 |
|
|
cg3d_s(i,j,k,bi,bj) = cg3d_q(i,j,k,bi,bj) |
333 |
|
|
& + cgBeta*cg3d_s(i,j,k,bi,bj) |
334 |
|
|
ENDDO |
335 |
|
|
ENDDO |
336 |
|
|
ENDDO |
337 |
|
|
|
338 |
|
|
C== Evaluate laplace operator on conjugate gradient vector |
339 |
|
|
C== q = A.s |
340 |
|
|
alphaTile(bi,bj) = 0. _d 0 |
341 |
|
|
#ifdef NONLIN_FRSURF |
342 |
|
|
IF ( select_rStar .NE. 0 ) THEN |
343 |
|
|
DO j=1,sNy |
344 |
|
|
DO i=1,sNx |
345 |
|
|
surfTerm(i,j) = 0. |
346 |
|
|
ENDDO |
347 |
|
|
ENDDO |
348 |
|
|
DO k=1,Nr |
349 |
|
|
DO j=1,sNy |
350 |
|
|
DO i=1,sNx |
351 |
|
|
surfTerm(i,j) = surfTerm(i,j) |
352 |
|
|
& +cg3d_s(i,j,k,bi,bj)*drF(k)*h0FacC(i,j,k,bi,bj) |
353 |
|
|
ENDDO |
354 |
|
|
ENDDO |
355 |
|
|
ENDDO |
356 |
|
|
DO j=1,sNy |
357 |
|
|
DO i=1,sNx |
358 |
|
|
ks = kSurfC(i,j,bi,bj) |
359 |
|
|
surfTerm(i,j) = surfTerm(i,j)*cg3dNorm |
360 |
|
|
& *recip_Rcol(i,j,bi,bj)*recip_Rcol(i,j,bi,bj) |
361 |
|
|
& *rA(i,j,bi,bj)*deepFac2F(ks) |
362 |
|
|
& *recip_Bo(i,j,bi,bj)/deltaTMom/deltaTfreesurf |
363 |
|
|
ENDDO |
364 |
|
|
ENDDO |
365 |
|
|
ENDIF |
366 |
|
|
#endif /* NONLIN_FRSURF */ |
367 |
|
|
IF ( Nr .GT. 1 ) THEN |
368 |
|
|
k=1 |
369 |
|
|
#ifdef TARGET_NEC_SX |
370 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
371 |
|
|
#endif /* TARGET_NEC_SX */ |
372 |
|
|
DO j=1,sNy |
373 |
|
|
DO i=1,sNx |
374 |
|
|
cg3d_q(i,j,k,bi,bj) = |
375 |
|
|
& aW3d( i, j, k, bi,bj)*cg3d_s(i-1,j, k, bi,bj) |
376 |
|
|
& +aW3d(i+1,j, k, bi,bj)*cg3d_s(i+1,j, k, bi,bj) |
377 |
|
|
& +aS3d( i, j, k, bi,bj)*cg3d_s( i,j-1,k, bi,bj) |
378 |
|
|
& +aS3d( i,j+1,k, bi,bj)*cg3d_s( i,j+1,k, bi,bj) |
379 |
|
|
& +aV3d( i, j,k+1,bi,bj)*cg3d_s( i, j,k+1,bi,bj) |
380 |
|
|
& +aC3d( i, j, k, bi,bj)*cg3d_s( i, j, k, bi,bj) |
381 |
|
|
#ifdef NONLIN_FRSURF |
382 |
|
|
& -surfFac*surfTerm(i,j)*drF(k)*h0FacC(i,j,k,bi,bj) |
383 |
|
|
#endif /* NONLIN_FRSURF */ |
384 |
|
|
alphaTile(bi,bj) = alphaTile(bi,bj) |
385 |
|
|
& +cg3d_s(i,j,k,bi,bj)*cg3d_q(i,j,k,bi,bj) |
386 |
|
|
ENDDO |
387 |
|
|
ENDDO |
388 |
|
|
ELSE |
389 |
|
|
k=1 |
390 |
|
|
#ifdef TARGET_NEC_SX |
391 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
392 |
|
|
#endif /* TARGET_NEC_SX */ |
393 |
|
|
DO j=1,sNy |
394 |
|
|
DO i=1,sNx |
395 |
|
|
cg3d_q(i,j,k,bi,bj) = |
396 |
|
|
& aW3d( i, j, k, bi,bj)*cg3d_s(i-1,j, k, bi,bj) |
397 |
|
|
& +aW3d(i+1,j, k, bi,bj)*cg3d_s(i+1,j, k, bi,bj) |
398 |
|
|
& +aS3d( i, j, k, bi,bj)*cg3d_s( i,j-1,k, bi,bj) |
399 |
|
|
& +aS3d( i,j+1,k, bi,bj)*cg3d_s( i,j+1,k, bi,bj) |
400 |
|
|
& +aC3d( i, j, k, bi,bj)*cg3d_s( i, j, k, bi,bj) |
401 |
|
|
#ifdef NONLIN_FRSURF |
402 |
|
|
& -surfFac*surfTerm(i,j)*drF(k)*h0FacC(i,j,k,bi,bj) |
403 |
|
|
#endif /* NONLIN_FRSURF */ |
404 |
|
|
alphaTile(bi,bj) = alphaTile(bi,bj) |
405 |
|
|
& +cg3d_s(i,j,k,bi,bj)*cg3d_q(i,j,k,bi,bj) |
406 |
|
|
ENDDO |
407 |
|
|
ENDDO |
408 |
|
|
ENDIF |
409 |
|
|
DO k=2,Nr-1 |
410 |
|
|
#ifdef TARGET_NEC_SX |
411 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
412 |
|
|
#endif /* TARGET_NEC_SX */ |
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 |
|
|
& +aC3d( i, j, k, bi,bj)*cg3d_s( i, j, k, bi,bj) |
423 |
|
|
#ifdef NONLIN_FRSURF |
424 |
|
|
& -surfFac*surfTerm(i,j)*drF(k)*h0FacC(i,j,k,bi,bj) |
425 |
|
|
#endif /* NONLIN_FRSURF */ |
426 |
|
|
alphaTile(bi,bj) = alphaTile(bi,bj) |
427 |
|
|
& +cg3d_s(i,j,k,bi,bj)*cg3d_q(i,j,k,bi,bj) |
428 |
|
|
ENDDO |
429 |
|
|
ENDDO |
430 |
|
|
ENDDO |
431 |
|
|
IF ( Nr .GT. 1 ) THEN |
432 |
|
|
k=Nr |
433 |
|
|
#ifdef TARGET_NEC_SX |
434 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
435 |
|
|
#endif /* TARGET_NEC_SX */ |
436 |
|
|
DO j=1,sNy |
437 |
|
|
DO i=1,sNx |
438 |
|
|
cg3d_q(i,j,k,bi,bj) = |
439 |
|
|
& aW3d( i, j, k, bi,bj)*cg3d_s(i-1,j, k, bi,bj) |
440 |
|
|
& +aW3d(i+1,j, k, bi,bj)*cg3d_s(i+1,j, k, bi,bj) |
441 |
|
|
& +aS3d( i, j, k, bi,bj)*cg3d_s( i,j-1,k, bi,bj) |
442 |
|
|
& +aS3d( i,j+1,k, bi,bj)*cg3d_s( i,j+1,k, bi,bj) |
443 |
|
|
& +aV3d( i, j, k, bi,bj)*cg3d_s( i, j,k-1,bi,bj) |
444 |
|
|
& +aC3d( i, j, k, bi,bj)*cg3d_s( i, j, k, bi,bj) |
445 |
|
|
#ifdef NONLIN_FRSURF |
446 |
|
|
& -surfFac*surfTerm(i,j)*drF(k)*h0FacC(i,j,k,bi,bj) |
447 |
|
|
#endif /* NONLIN_FRSURF */ |
448 |
|
|
alphaTile(bi,bj) = alphaTile(bi,bj) |
449 |
|
|
& +cg3d_s(i,j,k,bi,bj)*cg3d_q(i,j,k,bi,bj) |
450 |
|
|
ENDDO |
451 |
|
|
ENDDO |
452 |
|
|
ENDIF |
453 |
|
|
alpha = eta_qrNtile(bi,bj)/alphaTile(bi,bj) |
454 |
|
|
|
455 |
|
|
C== Update simultaneously solution and residual vectors (and Iter number) |
456 |
|
|
C Now compute "interior" points. |
457 |
|
|
errTile(bi,bj) = 0. _d 0 |
458 |
|
|
DO k=1,Nr |
459 |
|
|
#ifdef TARGET_NEC_SX |
460 |
|
|
!CDIR OUTERUNROLL=CG3D_OUTERLOOPITERS |
461 |
|
|
#endif /* TARGET_NEC_SX */ |
462 |
|
|
DO j=1,sNy |
463 |
|
|
DO i=1,sNx |
464 |
|
|
cg3d_x(i,j,k,bi,bj)=cg3d_x(i,j,k,bi,bj) |
465 |
|
|
& +alpha*cg3d_s(i,j,k,bi,bj) |
466 |
|
|
cg3d_r(i,j,k,bi,bj)=cg3d_r(i,j,k,bi,bj) |
467 |
|
|
& -alpha*cg3d_q(i,j,k,bi,bj) |
468 |
|
|
errTile(bi,bj) = errTile(bi,bj) |
469 |
|
|
& +cg3d_r(i,j,k,bi,bj)*cg3d_r(i,j,k,bi,bj) |
470 |
|
|
ENDDO |
471 |
|
|
ENDDO |
472 |
|
|
ENDDO |
473 |
|
|
actualIts(bi,bj) = it3d |
474 |
|
|
|
475 |
|
|
IF ( printResidual ) THEN |
476 |
|
|
IF ( MOD( it3d-1, printResidualFreq ).EQ.0 ) THEN |
477 |
|
|
WRITE(msgBuf,'(A,2I4,A,I6,A,1PE21.14)') ' cg3d(bi,bj=', bi, |
478 |
|
|
& bj, '): iter=', it3d, ' ; resid.= ', SQRT(errTile(bi,bj)) |
479 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
480 |
|
|
& SQUEEZE_RIGHT, myThid ) |
481 |
|
|
ENDIF |
482 |
|
|
ENDIF |
483 |
|
|
|
484 |
|
|
CALL FILL_HALO_LOCAL_RL( |
485 |
|
|
U cg3d_r(0,0,1,bi,bj), |
486 |
|
|
I 1, 1, 1, 1, Nr, |
487 |
|
|
I EXCH_IGNORE_CORNERS, bi, bj, myThid ) |
488 |
|
|
|
489 |
|
|
ENDIF |
490 |
|
|
err_sq = MAX( errTile(bi,bj), err_sq ) |
491 |
|
|
C- end bi,bj loops |
492 |
|
|
ENDDO |
493 |
|
|
ENDDO |
494 |
|
|
C- end cg-2d iteration loop |
495 |
|
|
ENDIF |
496 |
|
|
ENDDO |
497 |
|
|
|
498 |
|
|
c 11 CONTINUE |
499 |
|
|
|
500 |
|
|
IF ( debugLevel.GE.debLevC .AND. diagFreq.GT.0. ) THEN |
501 |
|
|
CALL WRITE_FLD_S3D_RL( |
502 |
|
|
I 'cg3d_r_F', 'I10', 1, Nr, cg3d_r, myIter, myThid ) |
503 |
|
|
ENDIF |
504 |
|
|
|
505 |
|
|
C-- Un-normalise the answer |
506 |
|
|
numIters = 0 |
507 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
508 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
509 |
|
|
DO k=1,Nr |
510 |
|
|
DO j=1,sNy |
511 |
|
|
DO i=1,sNx |
512 |
|
|
cg3d_x(i,j,k,bi,bj) = cg3d_x(i,j,k,bi,bj)/rhsNorm(bi,bj) |
513 |
|
|
ENDDO |
514 |
|
|
ENDDO |
515 |
|
|
ENDDO |
516 |
|
|
numIters = MAX( actualIts(bi,bj), numIters ) |
517 |
|
|
ENDDO |
518 |
|
|
ENDDO |
519 |
|
|
|
520 |
|
|
C-- Return parameters to caller |
521 |
|
|
C return largest Iter # and Max residual in numIters and lastResidual |
522 |
|
|
_GLOBAL_MAX_RL( err_sq, myThid ) |
523 |
|
|
lastResidual = SQRT(err_sq) |
524 |
|
|
alpha = numIters |
525 |
|
|
_GLOBAL_MAX_RL( alpha, myThid ) |
526 |
|
|
numIters = NINT( alpha ) |
527 |
|
|
|
528 |
|
|
#endif /* ALLOW_NONHYDROSTATIC */ |
529 |
|
|
|
530 |
|
|
RETURN |
531 |
|
|
END |