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C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_lsr.F,v 1.60 2011/01/13 00:13:41 heimbach 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_CHECK |
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C !INTERFACE: |
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SUBROUTINE SEAICE_LSR( myTime, myIter, myThid ) |
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|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | S/R SEAICE_LSR |
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C | o Solve ice momentum equation with an LSR dynamics solver |
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C | (see Zhang and Hibler, JGR, 102, 8691-8702, 1997 |
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C | and Zhang and Rothrock, MWR, 131, 845- 861, 2003) |
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C | Written by Jinlun Zhang, PSC/UW, Feb-2001 |
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C | zhang@apl.washington.edu |
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C |==========================================================* |
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C | C-grid version by Martin Losch |
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C | Since 2009/03/18: finite-Volume discretization of |
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C | stress divergence that includes all metric terms |
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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.h" |
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#include "SEAICE_PARAMS.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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CEOP |
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|
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#ifdef SEAICE_CGRID |
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#ifdef SEAICE_ALLOW_DYNAMICS |
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|
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C !LOCAL VARIABLES: |
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C === Local variables === |
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C i,j,bi,bj :: Loop counters |
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|
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INTEGER ilcall |
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INTEGER i, j, k, m, bi, bj, j1, j2, im, jm |
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INTEGER ICOUNT1, ICOUNT2 |
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INTEGER kSrf |
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LOGICAL doIterate |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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|
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_RL WFAU, WFAV, WFAU1, WFAV1, WFAU2, WFAV2 |
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_RL AA3, S1, S2, S1A, S2A |
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_RL hFacM, hFacP |
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_RL eplus, eminus |
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|
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C coefficients of ice velocities in coefficient matrix |
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C for both U and V-equation |
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C XX: double derivative in X |
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C YY: double derivative in Y |
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C XM: metric term with derivative in X |
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C YM: metric term with derivative in Y |
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_RL UXX (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL UYY (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL UXM (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL UYM (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL VXX (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL VYY (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL VXM (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL VYM (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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C diagonals of coefficient matrices |
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_RL AU (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL BU (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL CU (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL AV (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL BV (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL CV (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL FXY (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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C coefficients for lateral points (u(j+/-1),v(i+/-1)) |
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_RL UVRT1(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL UVRT2(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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C abbreviations |
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_RL etaPlusZeta (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL zetaMinusEta(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL etaMeanZ (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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C contribution of sigma on righ hand side |
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_RL sig11(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL sig22(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL sig12(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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C auxillary fields |
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_RL URT (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL CUU (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL VRT (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL CVV (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL uTmp (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL vTmp (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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C |
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_RL COSWAT |
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_RS SINWAT |
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_RL TEMPVAR |
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_RL UERR |
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INTEGER iMin, iMax, jMin, jMax |
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#ifdef SEAICE_VECTORIZE_LSR |
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C in this case, the copy of u(3)=u(1)/v(3)=v(1) needs to include |
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C part of the overlap, because the overlap of u/vTmp is used |
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PARAMETER ( iMin = 0, iMax = sNx+1, jMin = 0, jMax = sNy+1 ) |
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#else |
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PARAMETER ( iMin = 1, iMax = sNx, jMin = 1, jMax = sNy ) |
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#endif |
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#ifdef SEAICE_ALLOW_CHECK_LSR_CONVERGENCE |
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_RL resnorm, EKnorm, counter |
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#endif /* SEAICE_ALLOW_CHECK_LSR_CONVERGENCE */ |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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cph break artificial dependencies |
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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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press(i,j,bi,bj)=0. _d 0 |
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zeta(i,j,bi,bj)=0. _d 0 |
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eta(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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#endif |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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DO ilcall=1,MPSEUDOTIMESTEPS |
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#else |
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DO ilcall=1,NPSEUDOTIMESTEPS |
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#endif |
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IF ( ilcall .LE. NPSEUDOTIMESTEPS ) THEN |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE uice = comlev1_dynsol, kind=isbyte, |
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CADJ & key = ikey_dynamics + (ilcall-1)*nchklev_1 |
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CADJ STORE vice = comlev1_dynsol, kind=isbyte, |
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CADJ & key = ikey_dynamics + (ilcall-1)*nchklev_1 |
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CADJ STORE uicenm1 = comlev1_dynsol, kind=isbyte, |
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CADJ & key = ikey_dynamics + (ilcall-1)*nchklev_1 |
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CADJ STORE vicenm1 = comlev1_dynsol, kind=isbyte, |
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CADJ & key = ikey_dynamics + (ilcall-1)*nchklev_1 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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C surrface level |
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kSrf = 1 |
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C-- introduce turning angles |
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SINWAT=SIN(SEAICE_waterTurnAngle*deg2rad) |
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COSWAT=COS(SEAICE_waterTurnAngle*deg2rad) |
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|
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C SET SOME VALUES |
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WFAU1=0.95 _d 0 |
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WFAV1=0.95 _d 0 |
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WFAU2=ZERO |
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WFAV2=ZERO |
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|
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S1A=0.80 _d 0 |
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S2A=0.80 _d 0 |
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WFAU=WFAU1 |
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WFAV=WFAV1 |
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|
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ICOUNT1=SOLV_MAX_ITERS |
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ICOUNT2=SOLV_MAX_ITERS |
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|
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k = 1 |
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|
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IF ( ilcall .EQ. 1 ) THEN |
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C NOW DO PREDICTOR TIME STEP |
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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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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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uIceC(I,J,bi,bj)=uIce(I,J,bi,bj) |
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vIceC(I,J,bi,bj)=vIce(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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#ifdef ALLOW_AUTODIFF_TAMC |
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cphCADJ STORE uicec = comlev1_dynsol, kind=isbyte, |
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cphCADJ & key = ikey_dynamics + (ilcall-1)*nchklev_1 |
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cphCADJ STORE vicec = comlev1_dynsol, kind=isbyte, |
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cphCADJ & key = ikey_dynamics + (ilcall-1)*nchklev_1 |
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#endif |
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ELSE |
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C NOW DO MODIFIED EULER STEP |
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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)=HALF*(uIce(I,J,bi,bj)+uIceNm1(i,j,bi,bj)) |
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vIce(I,J,bi,bj)=HALF*(vIce(I,J,bi,bj)+vIceNm1(i,j,bi,bj)) |
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uIceC(I,J,bi,bj)=uIce(I,J,bi,bj) |
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vIceC(I,J,bi,bj)=vIce(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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ENDIF |
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IF ( ilcall .GT. 2 ) THEN |
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C for additional (pseudo-time)steps update u/vIceNm1 |
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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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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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ENDDO |
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ENDDO |
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ENDIF |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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cph That is an important one! Note, that |
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cph * lsr is called twice, thus the icall index |
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cph * this storing is still outside the iteration loop |
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CADJ STORE uice = comlev1_dynsol, kind=isbyte, |
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CADJ & key = ikey_dynamics + (ilcall-1)*nchklev_1 |
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CADJ STORE vice = comlev1_dynsol, kind=isbyte, |
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CADJ & key = ikey_dynamics + (ilcall-1)*nchklev_1 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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CALL SEAICE_CALC_STRAINRATES( |
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I uIceC, vIceC, |
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O e11, e22, e12, |
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I ilcall, myTime, myIter, myThid ) |
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|
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CALL SEAICE_CALC_VISCOSITIES( |
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I e11, e22, e12, zMin, zMax, hEffM, press0, |
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O eta, zeta, press, |
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I ilcall, myTime, myIter, myThid ) |
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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=0,sNy+1 |
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DO i=0,sNx+1 |
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C set up non-linear water drag |
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TEMPVAR = QUART*( |
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& (uIceC(I ,J,bi,bj)-uVel(I ,J,kSrf,bi,bj) |
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& +uIceC(I+1,J,bi,bj)-uVel(I+1,J,kSrf,bi,bj))**2 |
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& +(vIceC(I,J ,bi,bj)-vVel(I,J ,kSrf,bi,bj) |
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& +vIceC(I,J+1,bi,bj)-vVel(I,J+1,kSrf,bi,bj))**2) |
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IF ( YC(I,J,bi,bj) .LT. ZERO ) THEN |
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IF ( TEMPVAR .LE. (QUART/SEAICE_waterDrag_south)**2 ) THEN |
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DWATN(I,J,bi,bj)=QUART |
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ELSE |
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DWATN(I,J,bi,bj)=SEAICE_waterDrag_south*SQRT(TEMPVAR) |
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ENDIF |
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ELSE |
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IF ( TEMPVAR .LE. (QUART/SEAICE_waterDrag)**2 ) THEN |
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DWATN(I,J,bi,bj)=QUART |
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ELSE |
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DWATN(I,J,bi,bj)=SEAICE_waterDrag*SQRT(TEMPVAR) |
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ENDIF |
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ENDIF |
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DWATN(I,J,bi,bj) = DWATN(I,J,bi,bj) * HEFFM(I,J,bi,bj) |
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C set up symmettric drag |
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DRAGS(I,J,bi,bj) = DWATN(I,J,bi,bj)*COSWAT |
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ENDDO |
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ENDDO |
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C |
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DO J=1,sNy |
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DO I=1,sNx |
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C set up anti symmettric drag force and add in current force |
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C ( remember to average to correct velocity points ) |
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FORCEX(I,J,bi,bj)=FORCEX0(I,J,bi,bj)+ |
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& 0.5 _d 0 * ( DWATN(I,J,bi,bj)+DWATN(I-1,J,bi,bj) ) * |
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& COSWAT * uVel(I,J,kSrf,bi,bj) |
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& - SIGN(SINWAT, _fCori(I,J,bi,bj))* 0.5 _d 0 * |
| 288 |
& ( DWATN(I ,J,bi,bj) * 0.5 _d 0 * |
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& (vVel(I ,J ,kSrf,bi,bj)-vIceC(I ,J ,bi,bj) |
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& +vVel(I ,J+1,kSrf,bi,bj)-vIceC(I ,J+1,bi,bj)) |
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& + DWATN(I-1,J,bi,bj) * 0.5 _d 0 * |
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& (vVel(I-1,J ,kSrf,bi,bj)-vIceC(I-1,J ,bi,bj) |
| 293 |
& +vVel(I-1,J+1,kSrf,bi,bj)-vIceC(I-1,J+1,bi,bj)) |
| 294 |
& ) |
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FORCEY(I,J,bi,bj)=FORCEY0(I,J,bi,bj)+ |
| 296 |
& 0.5 _d 0 * ( DWATN(I,J,bi,bj)+DWATN(I,J-1,bi,bj) ) * |
| 297 |
& COSWAT * vVel(I,J,kSrf,bi,bj) |
| 298 |
& + SIGN(SINWAT, _fCori(I,J,bi,bj)) * 0.5 _d 0 * |
| 299 |
& ( DWATN(I,J ,bi,bj) * 0.5 _d 0 * |
| 300 |
& (uVel(I ,J ,kSrf,bi,bj)-uIceC(I ,J ,bi,bj) |
| 301 |
& +uVel(I+1,J ,kSrf,bi,bj)-uIceC(I+1,J ,bi,bj)) |
| 302 |
& + DWATN(I,J-1,bi,bj) * 0.5 _d 0 * |
| 303 |
& (uVel(I ,J-1,kSrf,bi,bj)-uIceC(I ,J-1,bi,bj) |
| 304 |
& +uVel(I+1,J-1,kSrf,bi,bj)-uIceC(I+1,J-1,bi,bj)) |
| 305 |
& ) |
| 306 |
ENDDO |
| 307 |
ENDDO |
| 308 |
C this is the rhs contribution of the time derivative |
| 309 |
DO j=1,sNy |
| 310 |
DO i=1,sNx |
| 311 |
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
| 312 |
& +seaiceMassU(I,J,bi,bj)/SEAICE_deltaTdyn |
| 313 |
& *uIceNm1(i,j,bi,bj) |
| 314 |
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
| 315 |
& +seaiceMassV(I,J,bi,bj)/SEAICE_deltaTdyn |
| 316 |
& *vIceNm1(i,j,bi,bj) |
| 317 |
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj)* seaiceMaskU(I,J,bi,bj) |
| 318 |
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj)* seaiceMaskV(I,J,bi,bj) |
| 319 |
ENDDO |
| 320 |
ENDDO |
| 321 |
ENDDO |
| 322 |
ENDDO |
| 323 |
C |
| 324 |
C some abbreviations |
| 325 |
C |
| 326 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 327 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 328 |
DO J=0,sNy |
| 329 |
DO I=0,sNx |
| 330 |
etaPlusZeta (I,J,bi,bj) = ETA (I,J,bi,bj)+ZETA(I,J,bi,bj) |
| 331 |
zetaMinusEta(I,J,bi,bj) = ZETA(I,J,bi,bj)-ETA (I,J,bi,bj) |
| 332 |
ENDDO |
| 333 |
ENDDO |
| 334 |
DO J=1,sNy+1 |
| 335 |
DO I=1,sNx+1 |
| 336 |
etaMeanZ (I,J,bi,bj) = |
| 337 |
& ( ETA (I,J ,bi,bj) + ETA (I-1,J ,bi,bj) |
| 338 |
& + ETA (I,J-1,bi,bj) + ETA (I-1,J-1,bi,bj) ) |
| 339 |
& / MAX(1.D0,maskC(I,J, k,bi,bj)+maskC(I-1,J, k,bi,bj) |
| 340 |
& + maskC(I,J-1,k,bi,bj)+maskC(I-1,J-1,k,bi,bj) ) |
| 341 |
ENDDO |
| 342 |
ENDDO |
| 343 |
C free-slip means no lateral stress, which is best achieved masking |
| 344 |
C eta on vorticity(=Z)-points; from now on we only need to worry |
| 345 |
C about the no-slip boundary conditions |
| 346 |
IF (.NOT.SEAICE_no_slip) THEN |
| 347 |
DO J=1,sNy+1 |
| 348 |
DO I=1,sNx+1 |
| 349 |
etaMeanZ (I,J,bi,bj) = etaMeanZ(I,J,bi,bj) |
| 350 |
& *maskC(I,J, k,bi,bj)*maskC(I-1,J, k,bi,bj) |
| 351 |
& *maskC(I,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj) |
| 352 |
ENDDO |
| 353 |
ENDDO |
| 354 |
ENDIF |
| 355 |
C coefficients of uIce(I,J) and vIce(I,J) belonging to ... |
| 356 |
DO J=1,sNy |
| 357 |
DO I=0,sNx |
| 358 |
C ... d/dx (eta+zeta) d/dx u |
| 359 |
UXX(I,J,bi,bj) = _dyF(I,J,bi,bj) * etaPlusZeta(I,J,bi,bj) |
| 360 |
& * _recip_dxF(I,J,bi,bj) |
| 361 |
C ... d/dx (zeta-eta) k1 u |
| 362 |
UXM(I,J,bi,bj) = _dyF(I,J,bi,bj) * zetaMinusEta(I,J,bi,bj) |
| 363 |
& * k1AtC(I,J,bi,bj) * 0.5 _d 0 |
| 364 |
ENDDO |
| 365 |
ENDDO |
| 366 |
DO J=1,sNy+1 |
| 367 |
DO I=1,sNx |
| 368 |
C ... d/dy eta d/dy u |
| 369 |
UYY(I,J,bi,bj) = _dxV(I,J,bi,bj) * etaMeanZ(I,J,bi,bj) |
| 370 |
& * _recip_dyU(I,J,bi,bj) |
| 371 |
C ... d/dy eta k2 u |
| 372 |
UYM(I,J,bi,bj) = _dxV(I,J,bi,bj) * etaMeanZ(I,J,bi,bj) |
| 373 |
& * k2AtZ(I,J,bi,bj) * 0.5 _d 0 |
| 374 |
ENDDO |
| 375 |
ENDDO |
| 376 |
DO J=1,sNy |
| 377 |
DO I=1,sNx+1 |
| 378 |
C ... d/dx eta dv/dx |
| 379 |
VXX(I,J,bi,bj) = _dyU(I,J,bi,bj) * etaMeanZ(I,J,bi,bj) |
| 380 |
& * _recip_dxV(I,J,bi,bj) |
| 381 |
C ... d/dx eta k1 v |
| 382 |
VXM(I,J,bi,bj) = _dyU(I,J,bi,bj) * etaMeanZ(I,J,bi,bj) |
| 383 |
& * k1AtZ(I,J,bi,bj) * 0.5 _d 0 |
| 384 |
ENDDO |
| 385 |
ENDDO |
| 386 |
DO J=0,sNy |
| 387 |
DO I=1,sNx |
| 388 |
C ... d/dy eta+zeta dv/dy |
| 389 |
VYY(I,J,bi,bj) = _dxF(I,J,bi,bj) * etaPlusZeta(I,J,bi,bj) |
| 390 |
& * _recip_dyF(I,J,bi,bj) |
| 391 |
C ... d/dy (zeta-eta) k2 v |
| 392 |
VYM(I,J,bi,bj) = _dxF(I,J,bi,bj) * zetaMinusEta(I,J,bi,bj) |
| 393 |
& * k2AtC(I,J,bi,bj) * 0.5 _d 0 |
| 394 |
ENDDO |
| 395 |
ENDDO |
| 396 |
ENDDO |
| 397 |
ENDDO |
| 398 |
|
| 399 |
C SOLVE FOR uIce |
| 400 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 401 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 402 |
C assemble coefficient matrix, beware of sign convention: because this |
| 403 |
C is the left hand side we calculate -grad(sigma), but the coefficients |
| 404 |
C of U(I,J+/-1) are counted on the right hand side |
| 405 |
DO J=1,sNy |
| 406 |
DO I=1,sNx |
| 407 |
C coefficients for UICE(I-1,J) |
| 408 |
AU(I,J,bi,bj)= ( - UXX(I-1,J,bi,bj) + UXM(I-1,J,bi,bj) ) |
| 409 |
& * seaiceMaskU(I,J,bi,bj) |
| 410 |
C coefficients for UICE(I+1,J) |
| 411 |
CU(I,J,bi,bj)= ( - UXX(I ,J,bi,bj) - UXM(I ,J,bi,bj) ) |
| 412 |
& * seaiceMaskU(I,J,bi,bj) |
| 413 |
C coefficients for UICE(I,J) |
| 414 |
BU(I,J,bi,bj)=(ONE - seaiceMaskU(I,J,bi,bj)) + |
| 415 |
& ( UXX(I-1,J ,bi,bj) + UXX(I,J,bi,bj) |
| 416 |
& + UYY(I ,J+1,bi,bj) + UYY(I,J,bi,bj) |
| 417 |
& + UXM(I-1,J ,bi,bj) - UXM(I,J,bi,bj) |
| 418 |
& + UYM(I ,J+1,bi,bj) - UYM(I,J,bi,bj) |
| 419 |
& ) * seaiceMaskU(I,J,bi,bj) |
| 420 |
C coefficients of uIce(I,J-1) |
| 421 |
UVRT1(I,J,bi,bj)= UYY(I,J ,bi,bj) + UYM(I,J ,bi,bj) |
| 422 |
C coefficients of uIce(I,J+1) |
| 423 |
UVRT2(I,J,bi,bj)= UYY(I,J+1,bi,bj) - UYM(I,J+1,bi,bj) |
| 424 |
ENDDO |
| 425 |
ENDDO |
| 426 |
|
| 427 |
C apply boundary conditions according to slip factor |
| 428 |
C for no slip, set u on boundary to zero: u(j+/-1)=-u(j) |
| 429 |
C for the free slip case sigma_12 = 0 |
| 430 |
DO J=1,sNy |
| 431 |
DO I=1,sNx |
| 432 |
hFacM = seaiceMaskU(I,J-1,bi,bj) |
| 433 |
hFacP = seaiceMaskU(I,J+1,bi,bj) |
| 434 |
C copy contributions to coefficient of U(I,J) |
| 435 |
C beware of sign convection: UVRT1/2 have the opposite sign convention |
| 436 |
C than BU, hence the minus sign |
| 437 |
BU(I,J,bi,bj)=BU(I,J,bi,bj) + seaiceMaskU(I,J,bi,bj) * |
| 438 |
& ( ( 1. _d 0 - hFacM ) |
| 439 |
& * ( UYY(I ,J ,bi,bj) + UYM(I ,J ,bi,bj) ) |
| 440 |
& + ( 1. _d 0 - hFacP ) |
| 441 |
& * ( UYY(I ,J+1,bi,bj) - UYM(I ,J+1,bi,bj) ) ) |
| 442 |
C reset coefficients of U(I,J-1) and U(I,J+1) |
| 443 |
UVRT1(I,J,bi,bj)=UVRT1(I,J,bi,bj) * hFacM |
| 444 |
UVRT2(I,J,bi,bj)=UVRT2(I,J,bi,bj) * hFacP |
| 445 |
ENDDO |
| 446 |
ENDDO |
| 447 |
|
| 448 |
C now we need to normalize everything by the grid cell area |
| 449 |
DO J=1,sNy |
| 450 |
DO I=1,sNx |
| 451 |
AU(I,J,bi,bj) = AU(I,J,bi,bj) * recip_rAw(I,J,bi,bj) |
| 452 |
CU(I,J,bi,bj) = CU(I,J,bi,bj) * recip_rAw(I,J,bi,bj) |
| 453 |
C here we need ad in the contribution from the time derivative |
| 454 |
C and the symmetric drag term; must be done after normalizing |
| 455 |
BU(I,J,bi,bj) = BU(I,J,bi,bj) * recip_rAw(I,J,bi,bj) |
| 456 |
& + seaiceMaskU(I,J,bi,bj) * |
| 457 |
& ( seaiceMassU(I,J,bi,bj)/SEAICE_deltaTdyn |
| 458 |
& + 0.5 _d 0*( DRAGS(I,J,bi,bj) + DRAGS(I-1,J,bi,bj) ) ) |
| 459 |
UVRT1(I,J,bi,bj) = UVRT1(I,J,bi,bj) * recip_rAw(I,J,bi,bj) |
| 460 |
UVRT2(I,J,bi,bj) = UVRT2(I,J,bi,bj) * recip_rAw(I,J,bi,bj) |
| 461 |
ENDDO |
| 462 |
ENDDO |
| 463 |
|
| 464 |
DO J=1,sNy |
| 465 |
AU(1,J,bi,bj)=ZERO |
| 466 |
CU(sNx,J,bi,bj)=ZERO |
| 467 |
CU(1,J,bi,bj)=CU(1,J,bi,bj)/BU(1,J,bi,bj) |
| 468 |
ENDDO |
| 469 |
|
| 470 |
C now set up right-hand side |
| 471 |
C contribution of sigma11 to rhs |
| 472 |
DO J=1,sNy |
| 473 |
DO I=0,sNx |
| 474 |
sig11(I,J) = zetaMinusEta(I,J,bi,bj) |
| 475 |
& * ( vIceC(I,J+1,bi,bj) - vIceC(I,J,bi,bj) ) |
| 476 |
& * _recip_dyF(I,J,bi,bj) |
| 477 |
& + etaPlusZeta(I,J,bi,bj) * k2AtC(I,J,bi,bj) |
| 478 |
& * 0.5 _d 0 * ( vIceC(I,J+1,bi,bj) + vIceC(I,J,bi,bj) ) |
| 479 |
& - 0.5 _d 0 * PRESS(I,J,bi,bj) |
| 480 |
ENDDO |
| 481 |
ENDDO |
| 482 |
C contribution of sigma12 to rhs of u-equation |
| 483 |
DO J=1,sNy+1 |
| 484 |
DO I=1,sNx |
| 485 |
hFacM = seaiceMaskV(I,J,bi,bj) - seaiceMaskV(I-1,J,bi,bj) |
| 486 |
sig12(I,J) = etaMeanZ(I,J,bi,bj) * ( |
| 487 |
& ( vIceC(I,J,bi,bj) - vIceC(I-1,J,bi,bj) ) |
| 488 |
& * _recip_dxV(I,J,bi,bj) |
| 489 |
& - k1AtZ(I,J,bi,bj) |
| 490 |
& * 0.5 _d 0 * ( vIceC(I,J,bi,bj) + vIceC(I-1,J,bi,bj) ) |
| 491 |
& ) |
| 492 |
C free slip conditions (sig12=0) are taken care of by masking sig12 |
| 493 |
& *maskC(I ,J ,k,bi,bj)*maskC(I-1,J ,k,bi,bj) |
| 494 |
& *maskC(I ,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj) |
| 495 |
C no slip boundary conditions (v(i-1)=-v(i)) |
| 496 |
C v(i)+v(i-1) = 0 is also taken care of by masking sig12, so that we |
| 497 |
C only need to deal with v(i)-v(i-1) |
| 498 |
& + etaMeanZ(I,J,bi,bj) * _recip_dxV(I,J,bi,bj) |
| 499 |
& * ( vIceC(I,J,bi,bj) + vIceC(I-1,J,bi,bj) ) |
| 500 |
& * hFacM * 2. _d 0 |
| 501 |
ENDDO |
| 502 |
ENDDO |
| 503 |
|
| 504 |
DO J=1,sNy |
| 505 |
DO I=1,sNx |
| 506 |
C coriolis and other forcing |
| 507 |
FXY(I,J,bi,bj)=0.5 _d 0 * |
| 508 |
& ( seaiceMassC(I ,J,bi,bj) * _fCori(I ,J,bi,bj) |
| 509 |
& *0.5 _d 0*( vIceC( i ,j,bi,bj)+vIceC( i ,j+1,bi,bj) ) |
| 510 |
& + seaiceMassC(I-1,J,bi,bj) * _fCori(I-1,J,bi,bj) |
| 511 |
& *0.5 _d 0*( vIceC(i-1,j,bi,bj)+vIceC(i-1,j+1,bi,bj) ) ) |
| 512 |
& +FORCEX(I,J,bi,bj) |
| 513 |
C contribution to the rhs part of grad(sigma)_x |
| 514 |
& + recip_rAw(I,J,bi,bj) * seaiceMaskU(I,J,bi,bj) * |
| 515 |
& ( _dyF(I ,J ,bi,bj)*sig11(I ,J ) |
| 516 |
& - _dyF(I-1,J ,bi,bj)*sig11(I-1,J ) |
| 517 |
& + _dxV(I ,J+1,bi,bj)*sig12(I ,J+1) |
| 518 |
& - _dxV(I ,J ,bi,bj)*sig12(I ,J ) ) |
| 519 |
ENDDO |
| 520 |
ENDDO |
| 521 |
|
| 522 |
ENDDO |
| 523 |
ENDDO |
| 524 |
|
| 525 |
#ifdef ALLOW_DEBUG |
| 526 |
IF ( debugLevel .GE. debLevD ) THEN |
| 527 |
WRITE(msgBuf,'(A,I3,A)') |
| 528 |
& 'Uice pre iter (SEAICE_LSR', MOD(ilcall,1000), ')' |
| 529 |
CALL DEBUG_STATS_RL( 1, UICE, msgBuf, myThid ) |
| 530 |
ENDIF |
| 531 |
#endif /* ALLOW_DEBUG */ |
| 532 |
C NOW DO ITERATION |
| 533 |
|
| 534 |
cph--- iteration starts here |
| 535 |
cph--- need to kick out goto |
| 536 |
doIterate = .TRUE. |
| 537 |
|
| 538 |
C ITERATION START ----------------------------------------------------- |
| 539 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 540 |
CADJ LOOP = iteration uice |
| 541 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 542 |
DO m = 1,solv_max_iters |
| 543 |
IF ( doIterate ) THEN |
| 544 |
|
| 545 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 546 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 547 |
C NOW SET U(3)=U(1) |
| 548 |
C save uIce prior to iteration |
| 549 |
DO J=jMin,jMax |
| 550 |
DO I=1,sNx |
| 551 |
uTmp(I,J,bi,bj)=uIce(I,J,bi,bj) |
| 552 |
ENDDO |
| 553 |
ENDDO |
| 554 |
|
| 555 |
DO J=1,sNy |
| 556 |
DO I=1,sNx |
| 557 |
IF(I.EQ.1) THEN |
| 558 |
AA3=( UXX(I-1,J,bi,bj) - UXM(I-1,J,bi,bj) ) |
| 559 |
& * uIce(I-1,J,bi,bj) * seaiceMaskU(I,J,bi,bj) |
| 560 |
ELSEIF(I.EQ.sNx) THEN |
| 561 |
AA3=( UXX(I ,J,bi,bj) + UXM(I ,J,bi,bj) ) |
| 562 |
& * uIce(I+1,J,bi,bj) * seaiceMaskU(I,J,bi,bj) |
| 563 |
ELSE |
| 564 |
AA3=ZERO |
| 565 |
ENDIF |
| 566 |
URT(I,J)=FXY(I,J,bi,bj) |
| 567 |
& + AA3 * recip_rAw(I,J,bi,bj) |
| 568 |
#ifdef SEAICE_VECTORIZE_LSR |
| 569 |
& + UVRT1(I,J,bi,bj)*uTmp(I,J-1,bi,bj) |
| 570 |
& + UVRT2(I,J,bi,bj)*uTmp(I,J+1,bi,bj) |
| 571 |
#else |
| 572 |
& + UVRT1(I,J,bi,bj)*uIce(I,J-1,bi,bj) |
| 573 |
& + UVRT2(I,J,bi,bj)*uIce(I,J+1,bi,bj) |
| 574 |
#endif /* SEAICE_VECTORIZE_LSR */ |
| 575 |
URT(I,J)=URT(I,J)* seaiceMaskU(I,J,bi,bj) |
| 576 |
ENDDO |
| 577 |
|
| 578 |
DO I=1,sNx |
| 579 |
CUU(I,J)=CU(I,J,bi,bj) |
| 580 |
ENDDO |
| 581 |
URT(1,J)=URT(1,J)/BU(1,J,bi,bj) |
| 582 |
#ifdef SEAICE_VECTORIZE_LSR |
| 583 |
ENDDO |
| 584 |
C start a new loop with reversed order to support automatic vectorization |
| 585 |
DO I=2,sNx |
| 586 |
IM=I-1 |
| 587 |
DO J=1,sNy |
| 588 |
#else /* do not SEAICE_VECTORIZE_LSR */ |
| 589 |
DO I=2,sNx |
| 590 |
IM=I-1 |
| 591 |
#endif /* SEAICE_VECTORIZE_LSR */ |
| 592 |
CUU(I,J)=CUU(I,J)/(BU(I,J,bi,bj)-AU(I,J,bi,bj)*CUU(IM,J)) |
| 593 |
URT(I,J)=(URT(I,J)-AU(I,J,bi,bj)*URT(IM,J)) |
| 594 |
& /(BU(I,J,bi,bj)-AU(I,J,bi,bj)*CUU(IM,J)) |
| 595 |
ENDDO |
| 596 |
#ifdef SEAICE_VECTORIZE_LSR |
| 597 |
ENDDO |
| 598 |
C go back to original order |
| 599 |
DO J=1,sNy |
| 600 |
#endif /* SEAICE_VECTORIZE_LSR */ |
| 601 |
DO I=1,sNx-1 |
| 602 |
J1=sNx-I |
| 603 |
J2=J1+1 |
| 604 |
URT(J1,J)=URT(J1,J)-CUU(J1,J)*URT(J2,J) |
| 605 |
ENDDO |
| 606 |
DO I=1,sNx |
| 607 |
uIce(I,J,bi,bj)=uTmp(I,J,bi,bj) |
| 608 |
& +WFAU*(URT(I,J)-uTmp(I,J,bi,bj)) |
| 609 |
ENDDO |
| 610 |
ENDDO |
| 611 |
C end bi,bj-loops |
| 612 |
ENDDO |
| 613 |
ENDDO |
| 614 |
|
| 615 |
IF(MOD(m,SOLV_NCHECK).EQ.0) THEN |
| 616 |
S1=ZERO |
| 617 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 618 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 619 |
DO J=1,sNy |
| 620 |
DO I=1,sNx |
| 621 |
UERR=(uIce(I,J,bi,bj)-uTmp(I,J,bi,bj)) |
| 622 |
& * seaiceMaskU(I,J,bi,bj) |
| 623 |
S1=MAX(ABS(UERR),S1) |
| 624 |
ENDDO |
| 625 |
ENDDO |
| 626 |
ENDDO |
| 627 |
ENDDO |
| 628 |
_GLOBAL_MAX_RL( S1, myThid ) |
| 629 |
c WRITE(standardMessageUnit,'(A,2I6,1P4E16.9)') |
| 630 |
c & ' U iters,error,WF = ',ilcall,M,S1,S1A,WFAU |
| 631 |
C SAFEGUARD AGAINST BAD FORCING ETC |
| 632 |
IF(m.GT.1.AND.S1.GT.S1A) WFAU=WFAU2 |
| 633 |
S1A=S1 |
| 634 |
IF(S1.LT.LSR_ERROR) THEN |
| 635 |
ICOUNT1=m |
| 636 |
doIterate = .FALSE. |
| 637 |
ENDIF |
| 638 |
ENDIF |
| 639 |
CALL EXCH_UV_XY_RL( uIce, vIce,.TRUE.,myThid) |
| 640 |
|
| 641 |
ENDIF |
| 642 |
ENDDO |
| 643 |
C ITERATION END ----------------------------------------------------- |
| 644 |
|
| 645 |
#ifdef ALLOW_DEBUG |
| 646 |
IF ( debugLevel .GE. debLevC ) THEN |
| 647 |
_BEGIN_MASTER( myThid ) |
| 648 |
WRITE(standardMessageUnit,'(A,I6,1P2E22.14)') |
| 649 |
& ' U lsr iters, error = ',ICOUNT1,S1 |
| 650 |
_END_MASTER( myThid ) |
| 651 |
IF ( debugLevel .GE. debLevD ) THEN |
| 652 |
WRITE(msgBuf,'(A,I3,A)') |
| 653 |
& 'Uice post iter (SEAICE_LSR', MOD(ilcall,1000), ')' |
| 654 |
CALL DEBUG_STATS_RL( 1, UICE, msgBuf, myThid ) |
| 655 |
ENDIF |
| 656 |
IF (S1.EQ.0.D0.AND.ICOUNT1.GT.SOLV_NCHECK) |
| 657 |
& STOP 'ABNORMAL END: S/R SEAICE_LSR did not converge (uIce)' |
| 658 |
ENDIF |
| 659 |
#endif /* ALLOW_DEBUG */ |
| 660 |
|
| 661 |
C NOW FOR vIce |
| 662 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 663 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 664 |
C assemble coefficient matrix, beware of sign convention: because this |
| 665 |
C is the left hand side we calculate -grad(sigma), but the coefficients |
| 666 |
C of U(I,J+/-1) are counted on the right hand side |
| 667 |
DO J=1,sNy |
| 668 |
DO I=1,sNx |
| 669 |
C coefficients for VICE(I,J-1) |
| 670 |
AV(I,J,bi,bj)=( - VYY(I,J-1,bi,bj) + VYM(I,J-1,bi,bj) |
| 671 |
& ) * seaiceMaskV(I,J,bi,bj) |
| 672 |
C coefficients for VICE(I,J+1) |
| 673 |
CV(I,J,bi,bj)=( - VYY(I,J ,bi,bj) - VYM(I,J ,bi,bj) |
| 674 |
& ) * seaiceMaskV(I,J,bi,bj) |
| 675 |
C coefficients for VICE(I,J) |
| 676 |
BV(I,J,bi,bj)= (ONE - seaiceMaskV(I,J,bi,bj)) + |
| 677 |
& ( VXX(I,J,bi,bj) + VXX(I+1,J ,bi,bj) |
| 678 |
& + VYY(I,J,bi,bj) + VYY(I ,J-1,bi,bj) |
| 679 |
& - VXM(I,J,bi,bj) + VXM(I+1,J ,bi,bj) |
| 680 |
& - VYM(I,J,bi,bj) + VYM(I ,J-1,bi,bj) |
| 681 |
& ) * seaiceMaskV(I,J,bi,bj) |
| 682 |
C coefficients for V(I-1,J) |
| 683 |
UVRT1(I,J,bi,bj) = VXX(I ,J,bi,bj) + VXM(I ,J,bi,bj) |
| 684 |
C coefficients for V(I+1,J) |
| 685 |
UVRT2(I,J,bi,bj) = VXX(I+1,J,bi,bj) - VXM(I+1,J,bi,bj) |
| 686 |
ENDDO |
| 687 |
ENDDO |
| 688 |
|
| 689 |
C apply boundary conditions according to slip factor |
| 690 |
C for no slip, set u on boundary to zero: v(i+/-1)=-v(i) |
| 691 |
C for the free slip case sigma_12 = 0 |
| 692 |
DO J=1,sNy |
| 693 |
DO I=1,sNx |
| 694 |
hFacM = seaiceMaskV(i-1,j,bi,bj) |
| 695 |
hFacP = seaiceMaskV(i+1,j,bi,bj) |
| 696 |
C copy contributions to coefficient of V(I,J) |
| 697 |
C beware of sign convection: UVRT1/2 have the opposite sign convention |
| 698 |
C than BV, hence the minus sign |
| 699 |
BV(I,J,bi,bj)=BV(I,J,bi,bj) + seaiceMaskV(I,J,bi,bj) * |
| 700 |
& ( ( 1. _d 0 - hFacM ) |
| 701 |
& * ( VXX(I ,J,bi,bj) + VXM(I ,J,bi,bj) ) |
| 702 |
& + ( 1. _d 0 - hFacP ) |
| 703 |
& * ( VXX(I+1,J,bi,bj) - VXM(I+1,J,bi,bj) ) ) |
| 704 |
C reset coefficients of V(I-1,J) and V(I+1,J) |
| 705 |
UVRT1(I,J,bi,bj)=UVRT1(I,J,bi,bj) * hFacM |
| 706 |
UVRT2(I,J,bi,bj)=UVRT2(I,J,bi,bj) * hFacP |
| 707 |
ENDDO |
| 708 |
ENDDO |
| 709 |
|
| 710 |
C now we need to normalize everything by the grid cell area |
| 711 |
DO J=1,sNy |
| 712 |
DO I=1,sNx |
| 713 |
AV(I,J,bi,bj) = AV(I,J,bi,bj) * recip_rAs(I,J,bi,bj) |
| 714 |
CV(I,J,bi,bj) = CV(I,J,bi,bj) * recip_rAs(I,J,bi,bj) |
| 715 |
C here we need ad in the contribution from the time derivative |
| 716 |
C and the symmetric drag term; must be done after normalizing |
| 717 |
BV(I,J,bi,bj) = BV(I,J,bi,bj) * recip_rAs(I,J,bi,bj) |
| 718 |
& + seaiceMaskV(I,J,bi,bj) * |
| 719 |
& ( seaiceMassV(I,J,bi,bj)/SEAICE_deltaTdyn |
| 720 |
& + 0.5 _d 0 * ( DRAGS(I,J,bi,bj) + DRAGS(I,J-1,bi,bj) ) ) |
| 721 |
UVRT1(I,J,bi,bj) = UVRT1(I,J,bi,bj) * recip_rAs(I,J,bi,bj) |
| 722 |
UVRT2(I,J,bi,bj) = UVRT2(I,J,bi,bj) * recip_rAs(I,J,bi,bj) |
| 723 |
ENDDO |
| 724 |
ENDDO |
| 725 |
|
| 726 |
DO I=1,sNx |
| 727 |
AV(I,1,bi,bj)=ZERO |
| 728 |
CV(I,sNy,bi,bj)=ZERO |
| 729 |
CV(I,1,bi,bj)=CV(I,1,bi,bj)/BV(I,1,bi,bj) |
| 730 |
ENDDO |
| 731 |
|
| 732 |
C now set up right-hand-side |
| 733 |
C contribution of sigma22 to rhs |
| 734 |
DO J=0,sNy |
| 735 |
DO I=1,sNx |
| 736 |
sig22(I,J) = zetaMinusEta(I,J,bi,bj) |
| 737 |
& * ( uIceC(I+1,J,bi,bj) - uIceC(I,J,bi,bj) ) |
| 738 |
& * _recip_dxF(I,J,bi,bj) |
| 739 |
& + etaPlusZeta(I,J,bi,bj) * k1AtC(I,J,bi,bj) |
| 740 |
& * 0.5 _d 0 * ( uIceC(I+1,J,bi,bj) + uIceC(I,J,bi,bj) ) |
| 741 |
& - 0.5 _d 0 * PRESS(I,J,bi,bj) |
| 742 |
ENDDO |
| 743 |
ENDDO |
| 744 |
C contribution of sigma12 to rhs of v-equation |
| 745 |
DO J=1,sNy |
| 746 |
DO I=1,sNx+1 |
| 747 |
hFacM = seaiceMaskU(i,j,bi,bj) - seaiceMaskU(i,j-1,bi,bj) |
| 748 |
sig12(I,J) = etaMeanZ(I,J,bi,bj) * ( |
| 749 |
& ( uIceC(I,J,bi,bj) - uIceC(I,J-1,bi,bj) ) |
| 750 |
& * _recip_dyU(I,J,bi,bj) |
| 751 |
& - k2AtZ(I,J,bi,bj) |
| 752 |
& * 0.5 _d 0 * ( uIceC(I,J,bi,bj) + uIceC(I,J-1,bi,bj) ) |
| 753 |
& ) |
| 754 |
C free slip conditions (sig12=0) are taken care of by masking sig12, |
| 755 |
& *maskC(I ,J ,k,bi,bj)*maskC(I-1,J ,k,bi,bj) |
| 756 |
& *maskC(I ,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj) |
| 757 |
C no slip boundary conditions (u(j-1)=-u(j)) |
| 758 |
C u(j)+u(j-1) = 0 is also taken care of by masking sig12, so that we |
| 759 |
C only need to deal with u(j)-u(j-1) |
| 760 |
& + etaMeanZ(I,J,bi,bj) * _recip_dyU(I,J,bi,bj) |
| 761 |
& * ( uIceC(I,J,bi,bj) + uIceC(I,J-1,bi,bj) ) |
| 762 |
& * hFacM * 2. _d 0 |
| 763 |
ENDDO |
| 764 |
ENDDO |
| 765 |
|
| 766 |
DO J=1,sNy |
| 767 |
DO I=1,sNx |
| 768 |
C coriols and other foring |
| 769 |
FXY(I,J,bi,bj)= - 0.5 _d 0 * |
| 770 |
& ( seaiceMassC(I,J ,bi,bj) * _fCori(I,J ,bi,bj) |
| 771 |
& *0.5 _d 0*( uIceC(i ,j ,bi,bj)+uIceC(i+1, j,bi,bj) ) |
| 772 |
& + seaiceMassC(I,J-1,bi,bj) * _fCori(I,J-1,bi,bj) |
| 773 |
& *0.5 _d 0*( uIceC(i ,j-1,bi,bj)+uIceC(i+1,j-1,bi,bj) ) ) |
| 774 |
& + FORCEY(I,J,bi,bj) |
| 775 |
C contribution to the rhs part of grad(sigma)_y |
| 776 |
& + recip_rAs(I,J,bi,bj) * seaiceMaskV(I,J,bi,bj) * |
| 777 |
& ( _dyU(I+1,J ,bi,bj) * sig12(I+1,J ) |
| 778 |
& - _dyU(I ,J ,bi,bj) * sig12(I ,J ) |
| 779 |
& + _dxF(I ,J ,bi,bj) * sig22(I ,J ) |
| 780 |
& - _dxF(I ,J-1,bi,bj) * sig22(I ,J-1) ) |
| 781 |
ENDDO |
| 782 |
ENDDO |
| 783 |
|
| 784 |
ENDDO |
| 785 |
ENDDO |
| 786 |
|
| 787 |
#ifdef ALLOW_DEBUG |
| 788 |
IF ( debugLevel .GE. debLevD ) THEN |
| 789 |
WRITE(msgBuf,'(A,I3,A)') |
| 790 |
& 'Vice pre iter (SEAICE_LSR', MOD(ilcall,1000), ')' |
| 791 |
CALL DEBUG_STATS_RL( 1, VICE, msgBuf, myThid ) |
| 792 |
ENDIF |
| 793 |
#endif /* ALLOW_DEBUG */ |
| 794 |
|
| 795 |
C NOW DO ITERATION |
| 796 |
|
| 797 |
cph--- iteration starts here |
| 798 |
cph--- need to kick out goto |
| 799 |
doIterate = .TRUE. |
| 800 |
|
| 801 |
C ITERATION START ----------------------------------------------------- |
| 802 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 803 |
CADJ LOOP = iteration vice |
| 804 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 805 |
DO m = 1,solv_max_iters |
| 806 |
IF ( doIterate ) THEN |
| 807 |
|
| 808 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 809 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 810 |
C NOW SET V(3)=V(1) |
| 811 |
C save vIce prior to iteration |
| 812 |
DO J=1,sNy |
| 813 |
DO I=iMin,iMax |
| 814 |
vTmp(I,J,bi,bj)=vIce(I,J,bi,bj) |
| 815 |
ENDDO |
| 816 |
ENDDO |
| 817 |
|
| 818 |
DO I=1,sNx |
| 819 |
DO J=1,sNy |
| 820 |
IF(J.EQ.1) THEN |
| 821 |
AA3=( VYY(I,J-1,bi,bj) - VYM(I,J-1,bi,bj) |
| 822 |
& ) * vIce(I,J-1,bi,bj) * seaiceMaskV(I,J,bi,bj) |
| 823 |
ELSEIF(J.EQ.sNy) THEN |
| 824 |
AA3=( VYY(I,J ,bi,bj) + VYM(I,J ,bi,bj) |
| 825 |
& ) * vIce(I,J+1,bi,bj) * seaiceMaskV(I,J,bi,bj) |
| 826 |
ELSE |
| 827 |
AA3=ZERO |
| 828 |
ENDIF |
| 829 |
|
| 830 |
VRT(I,J)=FXY(I,J,bi,bj) |
| 831 |
& + AA3 * recip_rAs(I,J,bi,bj) |
| 832 |
#ifdef SEAICE_VECTORIZE_LSR |
| 833 |
& + UVRT1(I,J,bi,bj)*vTmp(I-1,J,bi,bj) |
| 834 |
& + UVRT2(I,J,bi,bj)*vTmp(I+1,J,bi,bj) |
| 835 |
#else |
| 836 |
& + UVRT1(I,J,bi,bj)*vIce(I-1,J,bi,bj) |
| 837 |
& + UVRT2(I,J,bi,bj)*vIce(I+1,J,bi,bj) |
| 838 |
#endif /* SEAICE_VECTORIZE_LSR */ |
| 839 |
VRT(I,J)=VRT(I,J)* seaiceMaskV(I,J,bi,bj) |
| 840 |
ENDDO |
| 841 |
|
| 842 |
DO J=1,sNy |
| 843 |
CVV(I,J)=CV(I,J,bi,bj) |
| 844 |
ENDDO |
| 845 |
VRT(I,1)=VRT(I,1)/BV(I,1,bi,bj) |
| 846 |
DO J=2,sNy |
| 847 |
JM=J-1 |
| 848 |
CVV(I,J)=CVV(I,J)/(BV(I,J,bi,bj)-AV(I,J,bi,bj)*CVV(I,JM)) |
| 849 |
VRT(I,J)=(VRT(I,J)-AV(I,J,bi,bj)*VRT(I,JM)) |
| 850 |
& /(BV(I,J,bi,bj)-AV(I,J,bi,bj)*CVV(I,JM)) |
| 851 |
ENDDO |
| 852 |
DO J=1,sNy-1 |
| 853 |
J1=sNy-J |
| 854 |
J2=J1+1 |
| 855 |
VRT(I,J1)=VRT(I,J1)-CVV(I,J1)*VRT(I,J2) |
| 856 |
ENDDO |
| 857 |
DO J=1,sNy |
| 858 |
vIce(I,J,bi,bj)=vTmp(I,J,bi,bj) |
| 859 |
& +WFAV*(VRT(I,J)-vTmp(I,J,bi,bj)) |
| 860 |
ENDDO |
| 861 |
ENDDO |
| 862 |
C end bi,bj-loops |
| 863 |
ENDDO |
| 864 |
ENDDO |
| 865 |
|
| 866 |
IF(MOD(m,SOLV_NCHECK).EQ.0) THEN |
| 867 |
S2=ZERO |
| 868 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 869 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 870 |
DO J=1,sNy |
| 871 |
DO I=1,sNx |
| 872 |
UERR=(vIce(I,J,bi,bj)-vTmp(I,J,bi,bj)) |
| 873 |
& * seaiceMaskV(I,J,bi,bj) |
| 874 |
S2=MAX(ABS(UERR),S2) |
| 875 |
ENDDO |
| 876 |
ENDDO |
| 877 |
ENDDO |
| 878 |
ENDDO |
| 879 |
_GLOBAL_MAX_RL( S2, myThid ) |
| 880 |
C SAFEGUARD AGAINST BAD FORCING ETC |
| 881 |
IF(m.GT.1.AND.S2.GT.S2A) WFAV=WFAV2 |
| 882 |
S2A=S2 |
| 883 |
IF(S2.LT.LSR_ERROR) THEN |
| 884 |
ICOUNT2=m |
| 885 |
doIterate = .FALSE. |
| 886 |
ENDIF |
| 887 |
ENDIF |
| 888 |
CALL EXCH_UV_XY_RL( uIce, vIce,.TRUE.,myThid) |
| 889 |
|
| 890 |
ENDIF |
| 891 |
ENDDO |
| 892 |
C ITERATION END ----------------------------------------------------- |
| 893 |
|
| 894 |
#ifdef ALLOW_DEBUG |
| 895 |
IF ( debugLevel .GE. debLevC ) THEN |
| 896 |
_BEGIN_MASTER( myThid ) |
| 897 |
WRITE(standardMessageUnit,'(A,I6,1P2E22.14)') |
| 898 |
& ' V lsr iters, error = ',ICOUNT2,S2 |
| 899 |
_END_MASTER( myThid ) |
| 900 |
IF ( debugLevel .GE. debLevD ) THEN |
| 901 |
WRITE(msgBuf,'(A,I3,A)') |
| 902 |
& 'Vice post iter (SEAICE_LSR', MOD(ilcall,1000), ')' |
| 903 |
CALL DEBUG_STATS_RL( 1, VICE, msgBuf, myThid ) |
| 904 |
ENDIF |
| 905 |
IF (S2.EQ.0.D0.AND.ICOUNT2.GT.SOLV_NCHECK) |
| 906 |
& STOP 'ABNORMAL END: S/R SEAICE_LSR did not converge (vIce)' |
| 907 |
ENDIF |
| 908 |
#endif /* ALLOW_DEBUG */ |
| 909 |
|
| 910 |
C APPLY MASKS |
| 911 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 912 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 913 |
DO J=1-Oly,sNy+Oly |
| 914 |
DO I=1-Olx,sNx+Olx |
| 915 |
uIce(I,J,bi,bj)=uIce(I,J,bi,bj)* seaiceMaskU(I,J,bi,bj) |
| 916 |
vIce(I,J,bi,bj)=vIce(I,J,bi,bj)* seaiceMaskV(I,J,bi,bj) |
| 917 |
ENDDO |
| 918 |
ENDDO |
| 919 |
ENDDO |
| 920 |
ENDDO |
| 921 |
CML CALL EXCH_UV_XY_RL( uIce, vIce,.TRUE.,myThid) |
| 922 |
|
| 923 |
#ifdef SEAICE_ALLOW_CHECK_LSR_CONVERGENCE |
| 924 |
IF ( debugLevel .GE. debLevC ) THEN |
| 925 |
resnorm = 0. _d 0 |
| 926 |
EKnorm = 0. _d 0 |
| 927 |
counter = 0. _d 0 |
| 928 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 929 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 930 |
C-- Compute residual norm and print |
| 931 |
DO j=1,sNy |
| 932 |
DO i=1,sNx |
| 933 |
resnorm = resnorm + 0.5 _d 0 * |
| 934 |
& ( ( (uIceNm1(i,j,bi,bj)+uIceNm1(i+1,j,bi,bj)) |
| 935 |
& - (uIce(i,j,bi,bj)+uIce(i+1,j,bi,bj)) )**2 |
| 936 |
& + ( (vIceNm1(i,j,bi,bj)+vIceNm1(i,j+1,bi,bj)) |
| 937 |
& - (vIce(i,j,bi,bj)+vIce(i,j+1,bi,bj)) )**2 ) |
| 938 |
IF ( area(i,j,bi,bj) .gt. 0.5 _d 0 ) THEN |
| 939 |
EKnorm = EKnorm + 0.5 _d 0 * heff(i,j,bi,bj) * |
| 940 |
& ( ( (uIce(i,j,bi,bj)+uIce(i+1,j,bi,bj)) )**2 |
| 941 |
& + ( (vIce(i,j,bi,bj)+vIce(i,j+1,bi,bj)) )**2 ) |
| 942 |
counter = counter + 1. _d 0 |
| 943 |
ENDIF |
| 944 |
ENDDO |
| 945 |
ENDDO |
| 946 |
ENDDO |
| 947 |
ENDDO |
| 948 |
_GLOBAL_SUM_RL( resnorm, myThid ) |
| 949 |
_GLOBAL_SUM_RL( EKnorm, myThid ) |
| 950 |
_GLOBAL_SUM_RL( counter, myThid ) |
| 951 |
IF ( counter .gt. 0. _d 0 ) EKnorm = EKnorm/counter |
| 952 |
_BEGIN_MASTER( myThid ) |
| 953 |
WRITE(standardMessageUnit,'(A,I7,1X,2E22.14)') |
| 954 |
& 'S/R SEAICE_LSR: IPSEUDO, RESNORM, EKNORM = ', |
| 955 |
& ilcall, sqrt(resnorm), EKnorm |
| 956 |
_END_MASTER( myThid ) |
| 957 |
ENDIF |
| 958 |
#endif /* SEAICE_ALLOW_CHECK_LSR_CONVERGENCE */ |
| 959 |
|
| 960 |
ENDIF |
| 961 |
C end outer pseudo-time stepping loop |
| 962 |
ENDDO |
| 963 |
|
| 964 |
IF ( useHB87StressCoupling ) THEN |
| 965 |
C compute the divergence of stress here to be used later |
| 966 |
C |
| 967 |
C compute strain rate from latest velocities |
| 968 |
CALL SEAICE_CALC_STRAINRATES( |
| 969 |
I uIce, vIce, |
| 970 |
O e11, e22, e12, |
| 971 |
I 3, myTime, myIter, myThid ) |
| 972 |
C compute internal stresses with updated ice velocities |
| 973 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 974 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 975 |
DO j=1-Oly,sNy+Oly |
| 976 |
DO i=1-Olx,sNx+Olx |
| 977 |
sig11(I,J) = 0. _d 0 |
| 978 |
sig22(I,J) = 0. _d 0 |
| 979 |
sig12(I,J) = 0. _d 0 |
| 980 |
ENDDO |
| 981 |
ENDDO |
| 982 |
|
| 983 |
DO j=0,sNy |
| 984 |
DO i=0,sNx |
| 985 |
eplus = e11(I,J,bi,bj) + e22(I,J,bi,bj) |
| 986 |
eminus= e11(I,J,bi,bj) - e22(I,J,bi,bj) |
| 987 |
sig11(I,J) = zeta(I,J,bi,bj)*eplus + eta(I,J,bi,bj)*eminus |
| 988 |
& - 0.5 _d 0 * PRESS(I,J,bi,bj) |
| 989 |
sig22(I,J) = zeta(I,J,bi,bj)*eplus - eta(I,J,bi,bj)*eminus |
| 990 |
& - 0.5 _d 0 * PRESS(I,J,bi,bj) |
| 991 |
ENDDO |
| 992 |
ENDDO |
| 993 |
|
| 994 |
DO j=1,sNy+1 |
| 995 |
DO i=1,sNx+1 |
| 996 |
sig12(I,J) = 2. _d 0 * e12(I,J,bi,bj) * etaMeanZ(I,J,bi,bj) |
| 997 |
ENDDO |
| 998 |
ENDDO |
| 999 |
C evaluate divergence of stress and apply to forcing |
| 1000 |
DO J=1,sNy |
| 1001 |
DO I=1,sNx |
| 1002 |
stressDivergenceX(I,J,bi,bj) = |
| 1003 |
& ( sig11(I ,J ) * _dyF(I ,J ,bi,bj) |
| 1004 |
& - sig11(I-1,J ) * _dyF(I-1,J ,bi,bj) |
| 1005 |
& + sig12(I ,J+1) * _dxV(I ,J+1,bi,bj) |
| 1006 |
& - sig12(I ,J ) * _dxV(I ,J ,bi,bj) |
| 1007 |
& ) * recip_rAw(I,J,bi,bj) |
| 1008 |
stressDivergenceY(I,J,bi,bj) = |
| 1009 |
& ( sig22(I ,J ) * _dxF(I ,J ,bi,bj) |
| 1010 |
& - sig22(I ,J-1) * _dxF(I ,J-1,bi,bj) |
| 1011 |
& + sig12(I+1,J ) * _dyU(I+1,J ,bi,bj) |
| 1012 |
& - sig12(I ,J ) * _dyU(I ,J ,bi,bj) |
| 1013 |
& ) * recip_rAs(I,J,bi,bj) |
| 1014 |
ENDDO |
| 1015 |
ENDDO |
| 1016 |
ENDDO |
| 1017 |
ENDDO |
| 1018 |
C endif useHB87StressCoupling |
| 1019 |
ENDIF |
| 1020 |
|
| 1021 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
| 1022 |
#endif /* SEAICE_CGRID */ |
| 1023 |
|
| 1024 |
RETURN |
| 1025 |
END |
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