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C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_jfnk.F,v 1.11 2012/12/03 15:49:17 mlosch Exp $ |
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C $Name: $ |
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|
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#include "SEAICE_OPTIONS.h" |
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|
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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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|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE SEAICE_JFKF |
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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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|
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C !USES: |
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IMPLICIT NONE |
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|
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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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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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#endif |
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|
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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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|
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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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C !FUNCTIONS: |
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LOGICAL DIFFERENT_MULTIPLE |
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EXTERNAL DIFFERENT_MULTIPLE |
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|
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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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INTEGER newtonIter |
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INTEGER krylovIter, krylovFails |
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INTEGER totalKrylovItersLoc |
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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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INTEGER iCode |
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_RL JFNKresidual, JFNKresidualTile(nSx,nSy) |
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_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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LOGICAL writeNow |
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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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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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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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_RL etaZPre (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL dwatPre (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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CEOP |
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|
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C Initialise |
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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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|
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iOutFGMRES=0 |
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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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& DIFFERENT_MULTIPLE( SEAICE_monFreq, myTime, deltaTClock ) ) |
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& iOutFGMRES=1 |
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|
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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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CALL SEAICE_CALC_RESIDUAL( |
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I uIce, vIce, |
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O uIceRes, vIceRes, |
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I newtonIter, 0, myTime, myIter, myThid ) |
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C probably not necessary, will be removed later: |
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CALL EXCH_UV_XY_RL( uIceRes, vIceRes,.TRUE.,myThid) |
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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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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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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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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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JFNKresidualTile(bi,bj) = 0. _d 0 |
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DO J=1,sNy |
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DO I=1,sNx |
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#ifdef CG2D_SINGLECPU_SUM |
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JFNKlocalBuf(I,J,bi,bj) = |
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#else |
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JFNKresidualTile(bi,bj) = JFNKresidualTile(bi,bj) + |
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#endif |
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& uIceRes(I,J,bi,bj)*uIceRes(I,J,bi,bj) + |
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& vIceRes(I,J,bi,bj)*vIceRes(I,J,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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JFNKresidual = 0. _d 0 |
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#ifdef CG2D_SINGLECPU_SUM |
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CALL GLOBAL_SUM_SINGLECPU_RL( |
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& JFNKlocalBuf,JFNKresidual, 0, 0, myThid) |
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#else |
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CALL GLOBAL_SUM_TILE_RL( JFNKresidualTile,JFNKresidual,myThid ) |
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#endif |
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JFNKresidual = SQRT(JFNKresidual) |
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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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IF ( debugLevel.GE.debLevA ) THEN |
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_BEGIN_MASTER( myThid ) |
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WRITE(msgBuf,'(2A,2(1XI6),2E12.5)') |
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& ' S/R SEAICE_JFNK: newtonIter,', |
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& ' total newtonIter, JFNKgamma_lin, initial norm = ', |
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& newtonIter,SEAICEnewtonIterMax*(myIter-nIter0)+newtonIter, |
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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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_END_MASTER( myThid ) |
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ENDIF |
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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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I FGMRESeps, iOutFGMRES, |
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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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C Call preconditioner |
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IF ( SOLV_MAX_ITERS .GT. 0 ) |
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& CALL SEAICE_PRECONDITIONER( |
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U duIce, dvIce, |
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I zetaPre, etaPre, etaZpre, dwatPre, |
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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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totalKrylovItersLoc = totalKrylovItersLoc + krylovIter |
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C some output diagnostics |
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IF ( debugLevel.GE.debLevA ) THEN |
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_BEGIN_MASTER( myThid ) |
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WRITE(msgBuf,'(3(A,I6))') |
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& ' S/R SEAICE_JFNK: Newton iterate / total = ', newtonIter, |
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& ' / ', SEAICEnewtonIterMax*(myIter-nIter0)+newtonIter, |
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& ', 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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_END_MASTER( myThid ) |
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ENDIF |
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IF ( krylovIter.EQ.SEAICEkrylovIterMax ) THEN |
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krylovFails = krylovFails + 1 |
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ENDIF |
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C Update linear solution vector and return to Newton iteration |
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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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uIce(I,J,bi,bj) = uIce(I,J,bi,bj)+duIce(I,J,bi,bj) |
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vIce(I,J,bi,bj) = vIce(I,J,bi,bj)+dvIce(I,J,bi,bj) |
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C reset du/vIce here instead of setting sol = 0 in seaice_fgmres_driver |
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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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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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C Set the stopping criterion for the Newton iteration |
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IF ( newtonIter .EQ. 1 ) JFNKtol=JFNKgamma_nonlin*JFNKresidual |
| 292 |
ENDIF |
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C end of Newton iterate |
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ENDDO |
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C |
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C-- Output diagnostics |
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C |
| 298 |
IF ( SEAICE_monFreq .GT. 0. _d 0 ) THEN |
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C Count iterations |
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totalJFNKtimeSteps = totalJFNKtimeSteps + 1 |
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totalNewtonIters = totalNewtonIters + newtonIter |
| 302 |
totalKrylovIters = totalKrylovIters + totalKrylovItersLoc |
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C Record failure |
| 304 |
totalKrylovFails = totalKrylovFails + krylovFails |
| 305 |
IF ( newtonIter .EQ. SEAICEnewtonIterMax ) THEN |
| 306 |
totalNewtonFails = totalNewtonFails + 1 |
| 307 |
ENDIF |
| 308 |
ENDIF |
| 309 |
C Decide whether it is time to dump and reset the counter |
| 310 |
writeNow = DIFFERENT_MULTIPLE(SEAICE_monFreq, |
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& myTime+deltaTClock, deltaTClock) |
| 312 |
#ifdef ALLOW_CAL |
| 313 |
IF ( useCAL ) THEN |
| 314 |
CALL CAL_TIME2DUMP( |
| 315 |
I zeroRL, SEAICE_monFreq, deltaTClock, |
| 316 |
U writeNow, |
| 317 |
I myTime+deltaTclock, myIter+1, myThid ) |
| 318 |
ENDIF |
| 319 |
#endif |
| 320 |
IF ( writeNow ) THEN |
| 321 |
_BEGIN_MASTER( myThid ) |
| 322 |
WRITE(msgBuf,'(A)') |
| 323 |
&' // =======================================================' |
| 324 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 325 |
& SQUEEZE_RIGHT, myThid ) |
| 326 |
WRITE(msgBuf,'(A)') ' // Begin JFNK statistics' |
| 327 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 328 |
& SQUEEZE_RIGHT, myThid ) |
| 329 |
WRITE(msgBuf,'(A)') |
| 330 |
&' // =======================================================' |
| 331 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 332 |
& SQUEEZE_RIGHT, myThid ) |
| 333 |
WRITE(msgBuf,'(A,I10)') |
| 334 |
& ' %JFNK_MON: time step = ', myIter+1 |
| 335 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 336 |
& SQUEEZE_RIGHT, myThid ) |
| 337 |
WRITE(msgBuf,'(A,I10)') |
| 338 |
& ' %JFNK_MON: Nb. of time steps = ', totalJFNKtimeSteps |
| 339 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 340 |
& SQUEEZE_RIGHT, myThid ) |
| 341 |
WRITE(msgBuf,'(A,I10)') |
| 342 |
& ' %JFNK_MON: Nb. of Newton steps = ', totalNewtonIters |
| 343 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 344 |
& SQUEEZE_RIGHT, myThid ) |
| 345 |
WRITE(msgBuf,'(A,I10)') |
| 346 |
& ' %JFNK_MON: Nb. of Krylov steps = ', totalKrylovIters |
| 347 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 348 |
& SQUEEZE_RIGHT, myThid ) |
| 349 |
WRITE(msgBuf,'(A,I10)') |
| 350 |
& ' %JFNK_MON: Nb. of Newton failures = ', totalNewtonFails |
| 351 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 352 |
& SQUEEZE_RIGHT, myThid ) |
| 353 |
WRITE(msgBuf,'(A,I10)') |
| 354 |
& ' %JFNK_MON: Nb. of Krylov failures = ', totalKrylovFails |
| 355 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 356 |
& SQUEEZE_RIGHT, myThid ) |
| 357 |
WRITE(msgBuf,'(A)') |
| 358 |
&' // =======================================================' |
| 359 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 360 |
& SQUEEZE_RIGHT, myThid ) |
| 361 |
WRITE(msgBuf,'(A)') ' // End JFNK statistics' |
| 362 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 363 |
& SQUEEZE_RIGHT, myThid ) |
| 364 |
WRITE(msgBuf,'(A)') |
| 365 |
&' // =======================================================' |
| 366 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 367 |
& SQUEEZE_RIGHT, myThid ) |
| 368 |
_END_MASTER( myThid ) |
| 369 |
C reset and start again |
| 370 |
totalJFNKtimeSteps = 0 |
| 371 |
totalNewtonIters = 0 |
| 372 |
totalKrylovIters = 0 |
| 373 |
totalKrylovFails = 0 |
| 374 |
totalNewtonFails = 0 |
| 375 |
ENDIF |
| 376 |
|
| 377 |
C Print more debugging information |
| 378 |
IF ( debugLevel.GE.debLevA ) THEN |
| 379 |
IF ( newtonIter .EQ. SEAICEnewtonIterMax ) THEN |
| 380 |
_BEGIN_MASTER( myThid ) |
| 381 |
WRITE(msgBuf,'(A,I10)') |
| 382 |
& ' S/R SEAICE_JFNK: JFNK did not converge in timestep ', |
| 383 |
& myIter+1 |
| 384 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 385 |
& SQUEEZE_RIGHT, myThid ) |
| 386 |
_END_MASTER( myThid ) |
| 387 |
ENDIF |
| 388 |
IF ( krylovFails .GT. 0 ) THEN |
| 389 |
_BEGIN_MASTER( myThid ) |
| 390 |
WRITE(msgBuf,'(A,I4,A,I10)') |
| 391 |
& ' S/R SEAICE_JFNK: FGMRES did not converge ', |
| 392 |
& krylovFails, ' times in timestep ', myIter+1 |
| 393 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 394 |
& SQUEEZE_RIGHT, myThid ) |
| 395 |
_END_MASTER( myThid ) |
| 396 |
ENDIF |
| 397 |
_BEGIN_MASTER( myThid ) |
| 398 |
WRITE(msgBuf,'(A,I6,A,I10)') |
| 399 |
& ' S/R SEAICE_JFNK: Total number FGMRES iterations = ', |
| 400 |
& totalKrylovItersLoc, ' in timestep ', myIter+1 |
| 401 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 402 |
& SQUEEZE_RIGHT, myThid ) |
| 403 |
_END_MASTER( myThid ) |
| 404 |
ENDIF |
| 405 |
|
| 406 |
#endif /* SEAICE_ALLOW_DYNAMICS and SEAICE_CGRID and SEAICE_ALLOW_JFNK */ |
| 407 |
|
| 408 |
RETURN |
| 409 |
END |
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