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C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_jacvec.F,v 1.2 2012/11/06 13:09:30 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_JACVEC |
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C !INTERFACE: |
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SUBROUTINE SEAICE_JACVEC( |
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I uIceLoc, vIceLoc, uIceRes, vIceRes, |
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U duIce, dvIce, |
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I newtonIter, krylovIter, 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_JACVEC |
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C | o For Jacobian-free Newton-Krylov solver compute |
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C | Jacobian times vector by finite difference approximation |
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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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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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C newtonIter :: current iterate of Newton iteration |
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C krylovIter :: current iterate of Krylov iteration |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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INTEGER newtonIter |
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INTEGER krylovIter |
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C u/vIceLoc :: local copies of the current ice velocity |
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_RL uIceLoc(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL vIceLoc(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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C u/vIceRes :: initial residual of this Newton iterate |
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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 :: correction of ice velocities |
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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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|
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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 Local variables: |
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_RL utp (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL vtp (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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C u/vIceResP :: residual computed with u/vtp |
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_RL uIceResP(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL vIceResP(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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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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_RL epsilon, reps |
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CEOP |
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C Instructions for using TAF or TAMC to generate exact Jacobian times |
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C vector operations: |
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C |
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C 1. make small_f |
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C 2. cat seaice_calc_residual.f seaice_oceandrag_coeffs.f seaice_calc_strainrates.f seaice_calc_viscosities.f seaice_calc_rhs.f seaice_calc_lhs.f > taf_input.f |
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C 3. staf -v1 -forward -toplevel seaice_calc_residual -input uIceLoc,viceLoc -output uIceRes,vIceRes taf_input.f |
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C 4. insert content of taf_input_ftl.f at the end of this file |
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C 5. add the following code and comment out the finite difference code |
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CML _RL g_duIce(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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CML _RL g_dvIce(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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CML _RL g_uIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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CML _RL g_vIceRes(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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CML |
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CMLC Initialise |
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CML DO bj=myByLo(myThid),myByHi(myThid) |
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CML DO bi=myBxLo(myThid),myBxHi(myThid) |
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CML DO J=1-Oly,sNy+Oly |
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CML DO I=1-Olx,sNx+Olx |
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CML g_duIce(I,J,bi,bj) = duice(I,J,bi,bj) |
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CML g_dvIce(I,J,bi,bj) = dvice(I,J,bi,bj) |
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CML g_uIceRes(I,J,bi,bj) = 0. _d 0 |
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CML g_vIceRes(I,J,bi,bj) = 0. _d 0 |
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CML uIceResP(I,J,bi,bj) = 0. _d 0 |
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CML vIceResP(I,J,bi,bj) = 0. _d 0 |
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CML ENDDO |
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CML ENDDO |
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CML ENDDO |
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CML ENDDO |
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CML |
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CML CALL G_SEAICE_CALC_RESIDUAL( uIce, g_duice, vIce, |
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CML $g_dvice, uiceresp, g_uiceres, viceresp, g_viceres, newtoniter, |
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CML $kryloviter, mytime, myiter, mythid ) |
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CML |
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CML DO bj=myByLo(myThid),myByHi(myThid) |
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CML DO bi=myBxLo(myThid),myBxHi(myThid) |
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CML DO J=1-Oly,sNy+Oly |
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CML DO I=1-Olx,sNx+Olx |
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CML duice(I,J,bi,bj)=g_uiceres(I,J,bi,bj) |
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CML dvice(I,J,bi,bj)=g_viceres(I,J,bi,bj) |
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CML ENDDO |
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CML ENDDO |
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CML ENDDO |
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CML ENDDO |
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|
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C Initialise |
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epsilon = 1. _d -06 |
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reps = 1. _d 0/epsilon |
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|
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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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utp(I,J,bi,bj) = uIce(I,J,bi,bj) + epsilon * duIce(I,J,bi,bj) |
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vtp(I,J,bi,bj) = vIce(I,J,bi,bj) + epsilon * dvIce(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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|
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C Compute new residual F(u) |
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CALL SEAICE_CALC_RESIDUAL( |
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I utp, vtp, |
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O uIceResP, vIceResP, |
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I newtonIter, krylovIter, myTime, myIter, myThid ) |
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|
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C approximate Jacobian times vector by one-sided finite differences |
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C and store in du/vIce |
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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 I = 1, sNx |
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DO J = 1, sNy |
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duIce(I,J,bi,bj) = |
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& (uIceResP(I,J,bi,bj)-uIceRes(I,J,bi,bj))*reps |
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dvIce(I,J,bi,bj) = |
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& (vIceResP(I,J,bi,bj)-vIceRes(I,J,bi,bj))*reps |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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#endif /* SEAICE_ALLOW_DYNAMICS and SEAICE_CGRID and SEAICE_ALLOW_JFNK */ |
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|
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RETURN |
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END |
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