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mlosch |
1.17 |
C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_jfnk.F,v 1.16 2013/01/17 08:51:15 mlosch Exp $ |
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mlosch |
1.1 |
C $Name: $ |
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#include "SEAICE_OPTIONS.h" |
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mlosch |
1.15 |
C-- File seaice_jfnk.F: seaice jfnk dynamical solver S/R: |
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C-- Contents |
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C-- o SEAICE_JFNK |
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C-- o SEAICE_JFNK_UPDATE |
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mlosch |
1.1 |
CBOP |
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C !ROUTINE: SEAICE_JFNK |
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C !INTERFACE: |
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SUBROUTINE SEAICE_JFNK( myTime, myIter, myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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mlosch |
1.15 |
C | SUBROUTINE SEAICE_JFNK |
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mlosch |
1.1 |
C | o Ice dynamics using a Jacobian-free Newton-Krylov solver |
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C | following J.-F. Lemieux et al. Improving the numerical |
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C | convergence of viscous-plastic sea ice models with the |
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C | Jacobian-free Newton-Krylov method. J. Comp. Phys. 229, |
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C | 2840-2852 (2010). |
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C | o The logic follows JFs code. |
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C *==========================================================* |
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C | written by Martin Losch, Oct 2012 |
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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 variables === |
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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 "DYNVARS.h" |
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#include "GRID.h" |
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#include "SEAICE_SIZE.h" |
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#include "SEAICE_PARAMS.h" |
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#include "SEAICE.h" |
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#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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#endif |
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C !INPUT/OUTPUT PARAMETERS: |
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C === Routine arguments === |
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C myTime :: Simulation time |
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C myIter :: Simulation timestep number |
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C myThid :: my Thread Id. number |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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#if ( (defined SEAICE_CGRID) && \ |
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(defined SEAICE_ALLOW_JFNK) && \ |
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(defined SEAICE_ALLOW_DYNAMICS) ) |
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mlosch |
1.5 |
C !FUNCTIONS: |
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LOGICAL DIFFERENT_MULTIPLE |
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EXTERNAL DIFFERENT_MULTIPLE |
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mlosch |
1.1 |
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mlosch |
1.16 |
C !LOCAL VARIABLES: |
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C === Local variables === |
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mlosch |
1.1 |
C i,j,bi,bj :: loop indices |
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INTEGER i,j,bi,bj |
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C loop indices |
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mlosch |
1.5 |
INTEGER newtonIter |
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INTEGER krylovIter, krylovFails |
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mlosch |
1.13 |
INTEGER totalKrylovItersLoc, totalNewtonItersLoc |
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mlosch |
1.5 |
C FGMRES flag that determines amount of output messages of fgmres |
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INTEGER iOutFGMRES |
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C FGMRES flag that indicates what fgmres wants us to do next |
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mlosch |
1.1 |
INTEGER iCode |
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mlosch |
1.13 |
_RL JFNKresidual |
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mlosch |
1.1 |
_RL JFNKresidualKm1 |
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C parameters to compute convergence criterion |
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_RL phi_e, alp_e, JFNKgamma_lin |
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_RL FGMRESeps |
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_RL JFNKtol |
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C |
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_RL recip_deltaT |
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LOGICAL JFNKconverged, krylovConverged |
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mlosch |
1.9 |
LOGICAL writeNow |
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mlosch |
1.1 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
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C |
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C u/vIceRes :: residual of sea-ice momentum equations |
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_RL uIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL vIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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mlosch |
1.14 |
C vector version of the residuals |
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_RL resTmp (nVec,1,nSx,nSy) |
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mlosch |
1.1 |
C du/vIce :: ice velocity increment to be added to u/vIce |
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_RL duIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL dvIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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C precomputed (= constant per Newton iteration) versions of |
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mlosch |
1.2 |
C zeta, eta, and DWATN, press |
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_RL zetaPre (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL etaPre (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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mlosch |
1.8 |
_RL etaZPre (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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mlosch |
1.2 |
_RL dwatPre (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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mlosch |
1.1 |
CEOP |
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C Initialise |
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mlosch |
1.5 |
newtonIter = 0 |
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krylovFails = 0 |
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totalKrylovItersLoc = 0 |
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JFNKconverged = .FALSE. |
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JFNKtol = 0. _d 0 |
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JFNKresidual = 0. _d 0 |
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JFNKresidualKm1 = 0. _d 0 |
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FGMRESeps = 0. _d 0 |
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recip_deltaT = 1. _d 0 / SEAICE_deltaTdyn |
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iOutFGMRES=0 |
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mlosch |
1.12 |
C with iOutFgmres=1, seaice_fgmres prints the residual at each iteration |
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IF ( debugLevel.GE.debLevC .AND. |
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mlosch |
1.5 |
& DIFFERENT_MULTIPLE( SEAICE_monFreq, myTime, deltaTClock ) ) |
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& iOutFGMRES=1 |
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mlosch |
1.1 |
C |
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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-Oly,sNy+Oly |
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DO I=1-Olx,sNx+Olx |
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uIceRes(I,J,bi,bj) = 0. _d 0 |
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vIceRes(I,J,bi,bj) = 0. _d 0 |
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duIce (I,J,bi,bj) = 0. _d 0 |
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dvIce (I,J,bi,bj) = 0. _d 0 |
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uIceNm1(I,J,bi,bj) = uIce(I,J,bi,bj) |
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vIceNm1(I,J,bi,bj) = vIce(I,J,bi,bj) |
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ENDDO |
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ENDDO |
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C Compute things that do no change during the Newton iteration: |
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C sea-surface tilt and wind stress: |
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C FORCEX/Y0 - mass*(u/vIceNm1)/deltaT |
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DO J=1-Oly,sNy+Oly |
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DO I=1-Olx,sNx+Olx |
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FORCEX(I,J,bi,bj) = FORCEX0(I,J,bi,bj) |
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& + seaiceMassU(I,J,bi,bj)*uIceNm1(I,J,bi,bj)*recip_deltaT |
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FORCEY(I,J,bi,bj) = FORCEY0(I,J,bi,bj) |
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& + seaiceMassV(I,J,bi,bj)*vIceNm1(I,J,bi,bj)*recip_deltaT |
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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 Start nonlinear Newton iteration: outer loop iteration |
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DO WHILE ( newtonIter.LT.SEAICEnewtonIterMax .AND. |
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& .NOT.JFNKconverged ) |
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newtonIter = newtonIter + 1 |
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C Compute initial residual F(u), (includes computation of global |
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C variables DWATN, zeta, and eta) |
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mlosch |
1.16 |
IF ( newtonIter .EQ. 1 ) CALL SEAICE_JFNK_UPDATE( |
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mlosch |
1.15 |
I duIce, dvIce, |
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U uIce, vIce, JFNKresidual, |
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O uIceRes, vIceRes, |
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I newtonIter, myTime, myIter, myThid ) |
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mlosch |
1.1 |
C local copies of precomputed coefficients that are to stay |
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C constant for the preconditioner |
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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-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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mlosch |
1.10 |
zetaPre(I,J,bi,bj) = zeta(I,J,bi,bj) |
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etaPre(I,J,bi,bj) = eta(I,J,bi,bj) |
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etaZPre(I,J,bi,bj) = etaZ(I,J,bi,bj) |
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dwatPre(I,J,bi,bj) = DWATN(I,J,bi,bj) |
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mlosch |
1.1 |
ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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C compute convergence criterion for linear preconditioned FGMRES |
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JFNKgamma_lin = JFNKgamma_lin_max |
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IF ( newtonIter.GT.1.AND.newtonIter.LE.100 |
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& .AND.JFNKresidual.LT.JFNKres_t ) THEN |
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C Eisenstat, 1996, equ.(2.6) |
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phi_e = 1. _d 0 |
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alp_e = 1. _d 0 |
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JFNKgamma_lin = phi_e*( JFNKresidual/JFNKresidualKm1 )**alp_e |
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JFNKgamma_lin = min(JFNKgamma_lin_max, JFNKgamma_lin) |
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JFNKgamma_lin = max(JFNKgamma_lin_min, JFNKgamma_lin) |
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ENDIF |
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C save the residual for the next iteration |
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JFNKresidualKm1 = JFNKresidual |
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C |
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C The Krylov iteration using FGMRES, the preconditioner is LSOR |
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C for now. The code is adapted from SEAICE_LSR, but heavily stripped |
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C down. |
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C krylovIter is mapped into "its" in seaice_fgmres and is incremented |
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C in that routine |
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krylovIter = 0 |
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iCode = 0 |
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C |
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JFNKconverged = JFNKresidual.LT.JFNKtol |
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C |
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C do Krylov loop only if convergence is not reached |
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C |
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IF ( .NOT.JFNKconverged ) THEN |
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C |
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C start Krylov iteration (FGMRES) |
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C |
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krylovConverged = .FALSE. |
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FGMRESeps = JFNKgamma_lin * JFNKresidual |
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DO WHILE ( .NOT.krylovConverged ) |
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C solution vector sol = du/vIce |
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C residual vector (rhs) Fu = u/vIceRes |
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C output work vectors wk1, -> input work vector wk2 |
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C |
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CALL SEAICE_FGMRES_DRIVER( |
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I uIceRes, vIceRes, |
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U duIce, dvIce, iCode, |
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mlosch |
1.5 |
I FGMRESeps, iOutFGMRES, |
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mlosch |
1.1 |
I newtonIter, krylovIter, myTime, myIter, myThid ) |
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C FGMRES returns iCode either asking for an new preconditioned vector |
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C or product of matrix (Jacobian) times vector. For iCode = 0, terminate |
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C iteration |
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IF (iCode.EQ.1) THEN |
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mlosch |
1.7 |
C Call preconditioner |
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IF ( SOLV_MAX_ITERS .GT. 0 ) |
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& CALL SEAICE_PRECONDITIONER( |
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mlosch |
1.1 |
U duIce, dvIce, |
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mlosch |
1.10 |
I zetaPre, etaPre, etaZpre, dwatPre, |
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mlosch |
1.1 |
I newtonIter, krylovIter, myTime, myIter, myThid ) |
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ELSEIF (iCode.GE.2) THEN |
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C Compute Jacobian times vector |
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CALL SEAICE_JACVEC( |
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I uIce, vIce, uIceRes, vIceRes, |
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U duIce, dvIce, |
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I newtonIter, krylovIter, myTime, myIter, myThid ) |
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ENDIF |
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krylovConverged = iCode.EQ.0 |
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C End of Krylov iterate |
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ENDDO |
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mlosch |
1.5 |
totalKrylovItersLoc = totalKrylovItersLoc + krylovIter |
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mlosch |
1.1 |
C some output diagnostics |
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IF ( debugLevel.GE.debLevA ) THEN |
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mlosch |
1.5 |
_BEGIN_MASTER( myThid ) |
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mlosch |
1.13 |
totalNewtonItersLoc = |
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& SEAICEnewtonIterMax*(myIter-nIter0)+newtonIter |
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WRITE(msgBuf,'(2A,2(1XI6),2E12.5)') |
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& ' S/R SEAICE_JFNK: Newton iterate / total, ', |
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& 'JFNKgamma_lin, initial norm = ', |
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& newtonIter, totalNewtonItersLoc, |
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& JFNKgamma_lin,JFNKresidual |
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CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
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& SQUEEZE_RIGHT, myThid ) |
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mlosch |
1.1 |
WRITE(msgBuf,'(3(A,I6))') |
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mlosch |
1.13 |
& ' S/R SEAICE_JFNK: Newton iterate / total = ',newtonIter, |
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& ' / ', totalNewtonItersLoc, |
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mlosch |
1.1 |
& ', Nb. of FGMRES iterations = ', krylovIter |
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CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
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& SQUEEZE_RIGHT, myThid ) |
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mlosch |
1.5 |
_END_MASTER( myThid ) |
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mlosch |
1.1 |
ENDIF |
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IF ( krylovIter.EQ.SEAICEkrylovIterMax ) THEN |
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mlosch |
1.5 |
krylovFails = krylovFails + 1 |
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mlosch |
1.1 |
ENDIF |
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mlosch |
1.17 |
C Set the stopping criterion for the Newton iteration and the |
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C criterion for the transition from accurate to approximate FGMRES |
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IF ( newtonIter .EQ. 1 ) THEN |
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JFNKtol=JFNKgamma_nonlin*JFNKresidual |
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IF ( JFNKres_tFac .NE. UNSET_RL ) |
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& JFNKres_t = JFNKresidual * JFNKres_tFac |
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ENDIF |
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mlosch |
1.1 |
C Update linear solution vector and return to Newton iteration |
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mlosch |
1.15 |
C Do a linesearch if necessary, and compute a new residual. |
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C Note that it should be possible to do the following operations |
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C at the beginning of the Newton iteration, thereby saving us from |
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C the extra call of seaice_jfnk_update, but unfortunately that |
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C changes the results, so we leave the stuff here for now. |
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CALL SEAICE_JFNK_UPDATE( |
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I duIce, dvIce, |
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U uIce, vIce, JFNKresidual, |
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O uIceRes, vIceRes, |
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I newtonIter, myTime, myIter, myThid ) |
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C reset du/vIce here instead of setting sol = 0 in seaice_fgmres_driver |
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mlosch |
1.1 |
DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO J=1-Oly,sNy+Oly |
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DO I=1-Olx,sNx+Olx |
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mlosch |
1.4 |
duIce(I,J,bi,bj)= 0. _d 0 |
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dvIce(I,J,bi,bj)= 0. _d 0 |
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mlosch |
1.1 |
ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDIF |
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C end of Newton iterate |
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ENDDO |
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mlosch |
1.5 |
C |
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C-- Output diagnostics |
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C |
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mlosch |
1.6 |
IF ( SEAICE_monFreq .GT. 0. _d 0 ) THEN |
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mlosch |
1.5 |
C Count iterations |
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mlosch |
1.6 |
totalJFNKtimeSteps = totalJFNKtimeSteps + 1 |
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totalNewtonIters = totalNewtonIters + newtonIter |
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totalKrylovIters = totalKrylovIters + totalKrylovItersLoc |
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mlosch |
1.5 |
C Record failure |
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mlosch |
1.6 |
totalKrylovFails = totalKrylovFails + krylovFails |
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IF ( newtonIter .EQ. SEAICEnewtonIterMax ) THEN |
| 300 |
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totalNewtonFails = totalNewtonFails + 1 |
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ENDIF |
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mlosch |
1.5 |
ENDIF |
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C Decide whether it is time to dump and reset the counter |
| 304 |
mlosch |
1.9 |
writeNow = DIFFERENT_MULTIPLE(SEAICE_monFreq, |
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|
|
& myTime+deltaTClock, deltaTClock) |
| 306 |
|
|
#ifdef ALLOW_CAL |
| 307 |
|
|
IF ( useCAL ) THEN |
| 308 |
|
|
CALL CAL_TIME2DUMP( |
| 309 |
|
|
I zeroRL, SEAICE_monFreq, deltaTClock, |
| 310 |
|
|
U writeNow, |
| 311 |
|
|
I myTime+deltaTclock, myIter+1, myThid ) |
| 312 |
|
|
ENDIF |
| 313 |
|
|
#endif |
| 314 |
|
|
IF ( writeNow ) THEN |
| 315 |
mlosch |
1.5 |
_BEGIN_MASTER( myThid ) |
| 316 |
|
|
WRITE(msgBuf,'(A)') |
| 317 |
|
|
&' // =======================================================' |
| 318 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 319 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 320 |
|
|
WRITE(msgBuf,'(A)') ' // Begin JFNK statistics' |
| 321 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 322 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 323 |
|
|
WRITE(msgBuf,'(A)') |
| 324 |
|
|
&' // =======================================================' |
| 325 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 326 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 327 |
|
|
WRITE(msgBuf,'(A,I10)') |
| 328 |
|
|
& ' %JFNK_MON: time step = ', myIter+1 |
| 329 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 330 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 331 |
|
|
WRITE(msgBuf,'(A,I10)') |
| 332 |
|
|
& ' %JFNK_MON: Nb. of time steps = ', totalJFNKtimeSteps |
| 333 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 334 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 335 |
|
|
WRITE(msgBuf,'(A,I10)') |
| 336 |
|
|
& ' %JFNK_MON: Nb. of Newton steps = ', totalNewtonIters |
| 337 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 338 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 339 |
|
|
WRITE(msgBuf,'(A,I10)') |
| 340 |
|
|
& ' %JFNK_MON: Nb. of Krylov steps = ', totalKrylovIters |
| 341 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 342 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 343 |
|
|
WRITE(msgBuf,'(A,I10)') |
| 344 |
|
|
& ' %JFNK_MON: Nb. of Newton failures = ', totalNewtonFails |
| 345 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 346 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 347 |
|
|
WRITE(msgBuf,'(A,I10)') |
| 348 |
|
|
& ' %JFNK_MON: Nb. of Krylov failures = ', totalKrylovFails |
| 349 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 350 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 351 |
|
|
WRITE(msgBuf,'(A)') |
| 352 |
|
|
&' // =======================================================' |
| 353 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 354 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 355 |
mlosch |
1.11 |
WRITE(msgBuf,'(A)') ' // End JFNK statistics' |
| 356 |
mlosch |
1.5 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 357 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 358 |
|
|
WRITE(msgBuf,'(A)') |
| 359 |
|
|
&' // =======================================================' |
| 360 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 361 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 362 |
|
|
_END_MASTER( myThid ) |
| 363 |
|
|
C reset and start again |
| 364 |
|
|
totalJFNKtimeSteps = 0 |
| 365 |
|
|
totalNewtonIters = 0 |
| 366 |
|
|
totalKrylovIters = 0 |
| 367 |
|
|
totalKrylovFails = 0 |
| 368 |
|
|
totalNewtonFails = 0 |
| 369 |
|
|
ENDIF |
| 370 |
|
|
|
| 371 |
|
|
C Print more debugging information |
| 372 |
mlosch |
1.1 |
IF ( debugLevel.GE.debLevA ) THEN |
| 373 |
|
|
IF ( newtonIter .EQ. SEAICEnewtonIterMax ) THEN |
| 374 |
mlosch |
1.5 |
_BEGIN_MASTER( myThid ) |
| 375 |
mlosch |
1.1 |
WRITE(msgBuf,'(A,I10)') |
| 376 |
|
|
& ' S/R SEAICE_JFNK: JFNK did not converge in timestep ', |
| 377 |
mlosch |
1.5 |
& myIter+1 |
| 378 |
mlosch |
1.1 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 379 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 380 |
mlosch |
1.5 |
_END_MASTER( myThid ) |
| 381 |
mlosch |
1.1 |
ENDIF |
| 382 |
mlosch |
1.5 |
IF ( krylovFails .GT. 0 ) THEN |
| 383 |
|
|
_BEGIN_MASTER( myThid ) |
| 384 |
mlosch |
1.1 |
WRITE(msgBuf,'(A,I4,A,I10)') |
| 385 |
|
|
& ' S/R SEAICE_JFNK: FGMRES did not converge ', |
| 386 |
mlosch |
1.5 |
& krylovFails, ' times in timestep ', myIter+1 |
| 387 |
mlosch |
1.1 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 388 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 389 |
mlosch |
1.5 |
_END_MASTER( myThid ) |
| 390 |
mlosch |
1.1 |
ENDIF |
| 391 |
mlosch |
1.5 |
_BEGIN_MASTER( myThid ) |
| 392 |
|
|
WRITE(msgBuf,'(A,I6,A,I10)') |
| 393 |
mlosch |
1.1 |
& ' S/R SEAICE_JFNK: Total number FGMRES iterations = ', |
| 394 |
mlosch |
1.5 |
& totalKrylovItersLoc, ' in timestep ', myIter+1 |
| 395 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 396 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 397 |
|
|
_END_MASTER( myThid ) |
| 398 |
mlosch |
1.1 |
ENDIF |
| 399 |
|
|
|
| 400 |
mlosch |
1.15 |
RETURN |
| 401 |
|
|
END |
| 402 |
|
|
|
| 403 |
mlosch |
1.16 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 404 |
mlosch |
1.15 |
CBOP |
| 405 |
|
|
C !ROUTINE: SEAICE_JFNK_UPDATE |
| 406 |
|
|
C !INTERFACE: |
| 407 |
|
|
|
| 408 |
|
|
SUBROUTINE SEAICE_JFNK_UPDATE( |
| 409 |
|
|
I duIce, dvIce, |
| 410 |
|
|
U uIce, vIce, JFNKresidual, |
| 411 |
|
|
O uIceRes, vIceRes, |
| 412 |
|
|
I newtonIter, myTime, myIter, myThid ) |
| 413 |
|
|
|
| 414 |
|
|
C !DESCRIPTION: \bv |
| 415 |
|
|
C *==========================================================* |
| 416 |
|
|
C | SUBROUTINE SEAICE_JFNK_UPDATE |
| 417 |
|
|
C | o Update velocities with incremental solutions of FGMRES |
| 418 |
|
|
C | o compute residual of updated solutions and do |
| 419 |
|
|
C | o linesearch: |
| 420 |
|
|
C | reduce update until residual is smaller than previous |
| 421 |
|
|
C | one (input) |
| 422 |
|
|
C *==========================================================* |
| 423 |
|
|
C | written by Martin Losch, Jan 2013 |
| 424 |
|
|
C *==========================================================* |
| 425 |
|
|
C \ev |
| 426 |
|
|
|
| 427 |
|
|
C !USES: |
| 428 |
|
|
IMPLICIT NONE |
| 429 |
|
|
|
| 430 |
|
|
C === Global variables === |
| 431 |
|
|
#include "SIZE.h" |
| 432 |
|
|
#include "EEPARAMS.h" |
| 433 |
|
|
#include "PARAMS.h" |
| 434 |
|
|
#include "SEAICE_SIZE.h" |
| 435 |
|
|
#include "SEAICE_PARAMS.h" |
| 436 |
|
|
|
| 437 |
|
|
C !INPUT/OUTPUT PARAMETERS: |
| 438 |
|
|
C === Routine arguments === |
| 439 |
|
|
C myTime :: Simulation time |
| 440 |
|
|
C myIter :: Simulation timestep number |
| 441 |
|
|
C myThid :: my Thread Id. number |
| 442 |
|
|
C newtonIter :: current iterate of Newton iteration |
| 443 |
|
|
_RL myTime |
| 444 |
|
|
INTEGER myIter |
| 445 |
|
|
INTEGER myThid |
| 446 |
|
|
INTEGER newtonIter |
| 447 |
|
|
C JFNKresidual :: Residual at the beginning of the FGMRES iteration, |
| 448 |
|
|
C changes with newtonIter (updated) |
| 449 |
|
|
_RL JFNKresidual |
| 450 |
|
|
C du/vIce :: ice velocity increment to be added to u/vIce (input) |
| 451 |
|
|
_RL duIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 452 |
|
|
_RL dvIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 453 |
|
|
C u/vIce :: ice velocity increment to be added to u/vIce (updated) |
| 454 |
|
|
_RL uIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 455 |
|
|
_RL vIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 456 |
|
|
C u/vIceRes :: residual of sea-ice momentum equations (output) |
| 457 |
|
|
_RL uIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 458 |
|
|
_RL vIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 459 |
|
|
|
| 460 |
mlosch |
1.16 |
C !LOCAL VARIABLES: |
| 461 |
|
|
C === Local variables === |
| 462 |
mlosch |
1.15 |
C i,j,bi,bj :: loop indices |
| 463 |
|
|
INTEGER i,j,bi,bj |
| 464 |
|
|
INTEGER l |
| 465 |
|
|
_RL resLoc, facLS |
| 466 |
|
|
LOGICAL doLineSearch |
| 467 |
|
|
C nVec :: size of the input vector(s) |
| 468 |
|
|
C vector version of the residuals |
| 469 |
|
|
INTEGER nVec |
| 470 |
|
|
PARAMETER ( nVec = 2*sNx*sNy ) |
| 471 |
|
|
_RL resTmp (nVec,1,nSx,nSy) |
| 472 |
|
|
C |
| 473 |
|
|
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 474 |
|
|
CEOP |
| 475 |
|
|
|
| 476 |
|
|
C Initialise some local variables |
| 477 |
|
|
l = 0 |
| 478 |
|
|
resLoc = JFNKresidual |
| 479 |
|
|
facLS = 1. _d 0 |
| 480 |
|
|
doLineSearch = .TRUE. |
| 481 |
|
|
DO WHILE ( doLineSearch ) |
| 482 |
|
|
C Determine, if we need more iterations |
| 483 |
|
|
doLineSearch = resLoc .GE. JFNKresidual |
| 484 |
mlosch |
1.16 |
C Limit the maximum number of iterations arbitrarily to four |
| 485 |
mlosch |
1.15 |
doLineSearch = doLineSearch .AND. l .LE. 4 |
| 486 |
|
|
C For the first iteration du/vIce = 0 and there will be no |
| 487 |
|
|
C improvement of the residual possible, so we do only the first |
| 488 |
|
|
C iteration |
| 489 |
|
|
IF ( newtonIter .EQ. 1 ) doLineSearch = .FALSE. |
| 490 |
|
|
C Only start a linesearch after some Newton iterations |
| 491 |
|
|
IF ( newtonIter .LE. SEAICE_JFNK_lsIter ) doLineSearch = .FALSE. |
| 492 |
|
|
C Increment counter |
| 493 |
|
|
l = l + 1 |
| 494 |
|
|
C Create update |
| 495 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 496 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 497 |
|
|
DO J=1-Oly,sNy+Oly |
| 498 |
|
|
DO I=1-Olx,sNx+Olx |
| 499 |
|
|
uIce(I,J,bi,bj) = uIce(I,J,bi,bj)+facLS*duIce(I,J,bi,bj) |
| 500 |
|
|
vIce(I,J,bi,bj) = vIce(I,J,bi,bj)+facLS*dvIce(I,J,bi,bj) |
| 501 |
|
|
ENDDO |
| 502 |
|
|
ENDDO |
| 503 |
|
|
ENDDO |
| 504 |
|
|
ENDDO |
| 505 |
|
|
C Compute current residual F(u), (includes re-computation of global |
| 506 |
|
|
C variables DWATN, zeta, and eta, i.e. they are different after this) |
| 507 |
|
|
CALL SEAICE_CALC_RESIDUAL( |
| 508 |
|
|
I uIce, vIce, |
| 509 |
|
|
O uIceRes, vIceRes, |
| 510 |
|
|
I newtonIter, 0, myTime, myIter, myThid ) |
| 511 |
|
|
C Important: Compute the norm of the residual using the same scalar |
| 512 |
|
|
C product that SEAICE_FGMRES does |
| 513 |
|
|
CALL SEAICE_MAP2VEC(nVec,uIceRes,vIceRes,resTmp,.TRUE.,myThid) |
| 514 |
|
|
CALL SEAICE_SCALPROD(nVec,1,1,1,resTmp,resTmp,resLoc,myThid) |
| 515 |
|
|
resLoc = SQRT(resLoc) |
| 516 |
|
|
C some output diagnostics |
| 517 |
|
|
IF ( debugLevel.GE.debLevA .AND. doLineSearch ) THEN |
| 518 |
|
|
_BEGIN_MASTER( myThid ) |
| 519 |
|
|
WRITE(msgBuf,'(2A,2(1XI6),3E12.5)') |
| 520 |
|
|
& ' S/R SEAICE_JFNK_UPDATE: Newton iter, LSiter, ', |
| 521 |
|
|
& 'facLS, JFNKresidual, resLoc = ', |
| 522 |
|
|
& newtonIter, l, facLS, JFNKresidual, resLoc |
| 523 |
|
|
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 524 |
|
|
& SQUEEZE_RIGHT, myThid ) |
| 525 |
|
|
_END_MASTER( myThid ) |
| 526 |
|
|
ENDIF |
| 527 |
|
|
C Get ready for the next iteration: after adding du/vIce in the first |
| 528 |
|
|
C iteration, we substract 0.5*du/vIce from u/vIce in the next |
| 529 |
|
|
C iterations, 0.25*du/vIce in the second, etc. |
| 530 |
|
|
facLS = - 0.5 _d 0 * ABS(facLS) |
| 531 |
|
|
ENDDO |
| 532 |
|
|
C This is the new residual |
| 533 |
|
|
JFNKresidual = resLoc |
| 534 |
|
|
|
| 535 |
mlosch |
1.1 |
#endif /* SEAICE_ALLOW_DYNAMICS and SEAICE_CGRID and SEAICE_ALLOW_JFNK */ |
| 536 |
|
|
|
| 537 |
|
|
RETURN |
| 538 |
|
|
END |
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