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C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_lsr.F,v 1.2 2006/03/10 13:59:40 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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CStartOfInterface |
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SUBROUTINE SEAICE_LSR( ilcall, myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE 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 \==========================================================/ |
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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 "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 === Routine arguments === |
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C myThid - Thread no. that called this routine. |
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INTEGER ilcall |
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INTEGER myThid |
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CEndOfInterface |
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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 i,j,bi,bj - Loop counters |
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|
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INTEGER i, j, m, bi, bj, j1, j2, im, jm |
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INTEGER ICOUNT1, ICOUNT2, SOLV_MAX_ITERS, SOLV_NCHECK |
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INTEGER phexit |
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|
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_RL WFAU, WFAV, WFAU1, WFAV1, WFAU2, WFAV2 |
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_RL AA1, AA2, AA3, AA4, AA5, AA6, AA7, S1, S2, S1A, S2A |
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|
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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 UERR (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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|
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_RL URT(1-Olx:sNx+Olx), CUU(1-Olx:sNx+Olx) |
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_RL VRT(1-Oly:sNy+Oly), CVV(1-Oly:sNy+Oly) |
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|
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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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_RL etaMeanU (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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_RL etaMeanV (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
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|
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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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|
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_RL dVdy (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dUdx (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dUdy (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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|
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_RL SINWAT, COSWAT |
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_RL ECCEN, ECM2, DELT1, DELT2 |
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_RL TEMPVAR |
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|
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_RL PRESS (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
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_RL E11 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
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_RL E22 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
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_RL E12 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
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|
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C-- FIRST SET UP BASIC CONSTANTS |
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ECCEN=SEAICE_eccen |
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ECM2=ONE/(ECCEN**2) |
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|
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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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SOLV_MAX_ITERS=1500 |
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SOLV_NCHECK=2 |
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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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#ifdef ALLOW_AUTODIFF_TAMC |
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cph That's 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_lsr, |
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CADJ & key = ikey_dynamics + (ilcall-1)*nchklev_1 |
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CADJ STORE vice = comlev1_lsr, |
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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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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO j=1,sNy |
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DO i=1,sNx |
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C NOW EVALUATE STRAIN RATES |
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E11(I,J,bi,bj)= _recip_dxF(I,J,bi,bj) * |
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& (uIceC(I,J,bi,bj)-uIceC(I-1,J ,bi,bj)) |
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& -HALF* |
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& (vIceC(I,J,bi,bj)+vIceC(I ,J+1,bi,bj)) |
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& * _tanPhiAtU(I,J,bi,bj)*recip_rSphere |
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E22(I,J,bi,bj)= _recip_dyF(I,J,bi,bj) * |
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& (vIceC(I,J,bi,bj)+vIceC(I,J-1,bi,bj)) |
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E12(I,J,bi,bj)=HALF*( |
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& (uIceC(I,J+1,bi,bj)+uIceC(I+1,J+1,bi,bj) |
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& -uIceC(I,J-1,bi,bj)-uIceC(I+1,J-1,bi,bj)) |
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& * 1. _d 0 / (dyC(I,J,bi,bj) + dyC(I,J-1,bi,bj)) |
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& + |
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& (vIceC(I+1,J+1,bi,bj)+vIceC(I+1,J,bi,bj) |
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& -vIceC(I-1,J+1,bi,bj)-vIceC(I-1,J,bi,bj)) |
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& * 1. _d 0 / (dxC(I,J,bi,bj) + dxC(I-1,J,bi,bj)) |
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& +HALF* |
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& (uIceC(I, J, bi,bj)+uIceC(I+1,J, bi,bj)) |
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& * _tanPhiAtU(I,J,bi,bj)*recip_rSphere) |
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C NOW EVALUATE VISCOSITIES |
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DELT1=(E11(I,J,bi,bj)**2+E22(I,J,bi,bj)**2)*(ONE+ECM2) |
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& +4. _d 0*ECM2*E12(I,J,bi,bj)**2 |
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& +TWO*E11(I,J,bi,bj)*E22(I,J,bi,bj)*(ONE-ECM2) |
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IF ( DELT1 .LE. SEAICE_EPS_SQ ) THEN |
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DELT2=SEAICE_EPS |
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ELSE |
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DELT2=SQRT(DELT1) |
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ENDIF |
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ZETA(I,J,bi,bj)=HALF*PRESS0(I,J,bi,bj)/DELT2 |
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C NOW PUT MIN AND MAX VISCOSITIES IN |
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ZETA(I,J,bi,bj)=MIN(ZMAX(I,J,bi,bj),ZETA(I,J,bi,bj)) |
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ZETA(I,J,bi,bj)=MAX(ZMIN(I,J,bi,bj),ZETA(I,J,bi,bj)) |
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C NOW SET VISCOSITIES TO ZERO AT HEFFMFLOW PTS |
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ZETA(I,J,bi,bj)=ZETA(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
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ETA(I,J,bi,bj)=ECM2*ZETA(I,J,bi,bj) |
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PRESS(I,J,bi,bj)=TWO*ZETA(I,J,bi,bj)*DELT2 |
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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-- Update overlap regions |
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_EXCH_XY_R8(ETA, myThid) |
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_EXCH_XY_R8(ZETA, myThid) |
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_EXCH_XY_R8(PRESS, 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=1,sNy |
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DO i=1,sNx |
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C NOW SET UP NON-LINEAR WATER DRAG, FORCEX, FORCEY |
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TEMPVAR = QUART*( |
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& (uIceC(I ,J,bi,bj)-GWATX(I ,J,bi,bj) |
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& +uIceC(I+1,J,bi,bj)-GWATX(I+1,J,bi,bj))**2 |
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& +(vIceC(I,J ,bi,bj)-GWATY(I,J ,bi,bj) |
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& +vIceC(I,J+1,bi,bj)-GWATY(I,J+1,bi,bj))**2) |
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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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C NOW SET UP SYMMETTRIC DRAG |
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DRAGS(I,J,bi,bj)=DWATN(I,J,bi,bj)*COSWAT |
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C NOW SET UP ANTI SYMMETTRIC DRAG PLUS CORIOLIS |
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CML DRAGA(I,J,bi,bj)=DWATN(I,J,bi,bj)*SINWAT+COR_ICE(I,J,bi,bj) |
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DRAGA(I,J,bi,bj)=DWATN(I,J,bi,bj)*SINWAT |
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& + seaiceMassC(I,J,bi,bj) * _fCori(I,J,bi,bj) |
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C NOW ADD IN CURRENT FORCE ( remember to average to correct velocity points ) |
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FORCEX(I,J,bi,bj)=FORCEX0(I,J,bi,bj)+DWATN(I,J,bi,bj) * |
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& (COSWAT * GWATX(I,J,bi,bj) - SINWAT* 0.5 _d 0 * ( |
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& 0.5 _d 0 * (GWATY(I,J ,bi,bj)+GWATY(I-1,J ,bi,bj)) |
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& +0.5 _d 0 * (GWATY(I,J+1,bi,bj)+GWATY(I-1,J+1,bi,bj)) ) |
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& ) |
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FORCEY(I,J,bi,bj)=FORCEY0(I,J,bi,bj)+DWATN(I,J,bi,bj) * |
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& (SINWAT * GWATX(I,J,bi,bj) + COSWAT * 0.5 _d 0 * ( |
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& 0.5 _d 0 * (GWATY(I,J ,bi,bj) + GWATX(I+1,J ,bi,bj)) |
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& +0.5 _d 0 * (GWATY(I,J-1,bi,bj) + GWATX(I+1,J-1,bi,bj)) ) |
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& ) |
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C NOW CALCULATE PRESSURE FORCE AND ADD TO EXTERNAL FORCE |
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FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
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& - _recip_dxC(I,J,bi,bj) |
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& *(PRESS(I, J,bi,bj) - PRESS(I-1,J,bi,bj)) |
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FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
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& - _recip_dyC(I,J,bi,bj) |
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& *(PRESS(I,J, bi,bj) - PRESS(I,J-1,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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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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FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
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& +seaiceMassU(I,J,bi,bj)/SEAICE_deltaTdyn |
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& *uIce(I,J,2,bi,bj) |
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FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
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& +seaiceMassV(I,J,bi,bj)/SEAICE_deltaTdyn |
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& *vIce(I,J,2,bi,bj) |
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FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj)* _maskW(I,J,1,bi,bj) |
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FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj)* _maskS(I,J,1,bi,bj) |
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etaPlusZeta (I,J,bi,bj) = ETA (I,J,bi,bj)+ZETA(I,J,bi,bj) |
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zetaMinusEta(I,J,bi,bj) = ZETA(I,J,bi,bj)-ETA (I,J,bi,bj) |
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ENDDO |
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ENDDO |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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etaMeanU (I,J,bi,bj) = |
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& HALF*(ETA (I,J,bi,bj) + ETA (I-1,J ,bi,bj)) |
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etaMeanV (I,J,bi,bj) = |
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& HALF*(ETA (I,J,bi,bj) + ETA (I ,J-1,bi,bj)) |
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ENDDO |
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ENDDO |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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etaMeanZ (I,J,bi,bj) = |
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& HALF * ( etaMeanU(I,J,bi,bj) + etaMeanU(I,J-1,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 SOLVE FOR uIce |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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|
| 251 |
DO J=1,sNy |
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DO I=1,sNx |
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C coefficients of uIce(I,J) |
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C (d/dx)[(eta+zeta)*d/dx)] U |
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AA1 = etaPlusZeta(I ,J,bi,bj) |
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& * _recip_dxF(I ,J,bi,bj) |
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& * _recip_dxC(I ,J,bi,bj) * _maskW(I,J,1,bi,bj) |
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AA2 = etaPlusZeta(I-1,J,bi,bj) |
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& * _recip_dxF(I-1,J,bi,bj) |
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& * _recip_dxC(I ,J,bi,bj) * _maskW(I,J,1,bi,bj) |
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C (d/dy)[eta*(d/dy + tanphi/a)] U (also on UVRT1/2) |
| 262 |
AA3= ( etaMeanZ(I,J+1,bi,bj) * _recip_dyU(I,J+1,bi,bj) |
| 263 |
& + etaMeanZ(I,J ,bi,bj) * _recip_dyU(I,J ,bi,bj) |
| 264 |
& ) * _recip_dyG(I,J,bi,bj) |
| 265 |
& - (etaMeanZ(I,J+1,bi,bj) - etaMeanZ(I,J,bi,bj)) |
| 266 |
& * 0.5 _d 0 * _tanPhiAtU(I,J,bi,bj) |
| 267 |
& * recip_rSphere * _recip_dyG(I,J,bi,bj) |
| 268 |
C 2*eta*(tanphi/a) * ( tanphi/a ) U |
| 269 |
AA6=TWO*etaMeanU(I,J,bi,bj)*recip_rSphere*recip_rSphere |
| 270 |
& * _tanPhiAtU(I,J,bi,bj) * _tanPhiAtU(I,J,bi,bj) |
| 271 |
AU(I,J,bi,bj)=-AA2 |
| 272 |
CU(I,J,bi,bj)=-AA1 |
| 273 |
BU(I,J,bi,bj)=(ONE - _maskW(I,J,1,bi,bj)) |
| 274 |
& - AU(I,J,bi,bj) - CU(I,J,bi,bj) |
| 275 |
& + ( AA3 + AA6 |
| 276 |
& + seaiceMassU(I,J,bi,bj)/SEAICE_deltaTdyn |
| 277 |
& + 0.5*(DRAGS(I,J,bi,bj)+DRAGS(I-1,J,bi,bj)) |
| 278 |
& )* _maskW(I,J,1,bi,bj) |
| 279 |
C coefficients of uIce(I,J-1) |
| 280 |
UVRT1(I,J,bi,bj)= |
| 281 |
& etaMeanZ(I,J ,bi,bj) * _recip_dyG(I,J ,bi,bj) * ( |
| 282 |
& _recip_dyU(I,J ,bi,bj) |
| 283 |
& - _tanPhiAtU(I,J ,bi,bj) * 0.5 _d 0 * recip_rSphere ) |
| 284 |
& + TWO*etaMeanU(I,J,bi,bj) * _tanPhiAtU(I,J,bi,bj) |
| 285 |
& * 1.0 _d 0 / ( _dyU(I,J,bi,bj) + _dyU(I,J+1,bi,bj) ) |
| 286 |
& *recip_rSphere |
| 287 |
C coefficients of uIce(I,J+1) |
| 288 |
UVRT2(I,J,bi,bj)= |
| 289 |
& etaMeanZ(I,J+1,bi,bj) * _recip_dyG(I,J ,bi,bj) * ( |
| 290 |
& _recip_dyU(I,J+1,bi,bj) |
| 291 |
& + _tanPhiAtU(I,J+1,bi,bj) * 0.5 _d 0 * recip_rSphere ) |
| 292 |
& - TWO*etaMeanU(I,J,bi,bj) * _tanPhiAtU(I,J,bi,bj) |
| 293 |
& * 1.0 _d 0 / ( _dyU(I,J,bi,bj) + _dyU(I,J+1,bi,bj) ) |
| 294 |
& *recip_rSphere |
| 295 |
END DO |
| 296 |
END DO |
| 297 |
|
| 298 |
DO J=1,sNy |
| 299 |
AU(1,J,bi,bj)=ZERO |
| 300 |
CU(sNx,J,bi,bj)=ZERO |
| 301 |
CU(1,J,bi,bj)=CU(1,J,bi,bj)/BU(1,J,bi,bj) |
| 302 |
END DO |
| 303 |
|
| 304 |
C now set up right-hand side |
| 305 |
DO J=1-Oly,sNy+Oly-1 |
| 306 |
DO I=1-Olx,sNx+Olx |
| 307 |
dVdy(I,J) = ( vIceC(I,J+1,bi,bj) - vIceC(I,J,bi,bj) ) |
| 308 |
& * _recip_dyF(I,J,bi,bj) |
| 309 |
ENDDO |
| 310 |
ENDDO |
| 311 |
DO J=1,sNy |
| 312 |
DO I=1,sNx |
| 313 |
C coriolis, "off-diagonal" drag terms and other forcing |
| 314 |
FXY(I,J,bi,bj)= |
| 315 |
& 0.5*( DRAGA( i ,j,bi,bj) |
| 316 |
& *0.5*( vIceC( i ,j,bi,bj)+vIceC( i ,j+1,bi,bj) ) |
| 317 |
& + DRAGA(i-1,j,bi,bj) |
| 318 |
& *0.5*( vIceC(i-1,j,bi,bj)+vIceC(i-1,j+1,bi,bj) ) ) |
| 319 |
& +FORCEX(I,J,bi,bj) |
| 320 |
C + d/dx[ (zeta-eta) dV/dy] |
| 321 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) + |
| 322 |
& ( zetaMinusEta(I ,J ,bi,bj) * dVdy(I ,J ) |
| 323 |
& - zetaMinusEta(I-1,J ,bi,bj) * dVdy(I-1,J ) |
| 324 |
& ) * _recip_dxC(I,J,bi,bj) |
| 325 |
C + d/dy[ eta dV/x ] |
| 326 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) + ( |
| 327 |
& etaMeanZ(I,J+1,bi,bj) |
| 328 |
& * ( vIceC(I ,J+1,bi,bj) - vIceC(I-1,J+1,bi,bj) ) |
| 329 |
& * _recip_dxV(I,J+1,bi,bj) |
| 330 |
& - etaMeanZ(I,J,bi,bj) |
| 331 |
& * ( vIceC(I ,J,bi,bj) - vIceC(I-1,J,bi,bj) ) |
| 332 |
& * _recip_dxV(I,J,bi,bj) |
| 333 |
& ) * _recip_dyG(I,J,bi,bj) |
| 334 |
C - d/dx[ (eta+zeta) * v * (tanphi/a) ] |
| 335 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) - ( |
| 336 |
& etaPlusZeta(I ,J ,bi,bj) |
| 337 |
& * 0.5 _d 0 * (vIceC(I ,J,bi,bj)+vIceC(I ,J+1,bi,bj)) |
| 338 |
& * 0.5 _d 0 * ( _tanPhiAtU(I ,J,bi,bj) |
| 339 |
& + _tanPhiAtU(I+1,J,bi,bj) ) |
| 340 |
& - etaPlusZeta(I-1,J,bi,bj) * |
| 341 |
& * 0.5 _d 0 * (vIceC(I-1,J,bi,bj)+vIceC(I-1,J+1,bi,bj)) |
| 342 |
& * 0.5 _d 0 * ( _tanPhiAtU(I-1,J,bi,bj) |
| 343 |
& + _tanPhiAtU(I ,J,bi,bj) ) |
| 344 |
& )* _recip_dxC(I,J,bi,bj)*recip_rSphere |
| 345 |
C - 2*eta*(tanphi/a) * dV/dx |
| 346 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) - |
| 347 |
& -TWO * etaMeanU(I,J,bi,bj) * _tanPhiAtV(I,J,bi,bj) |
| 348 |
& *recip_rSphere |
| 349 |
& *(vIceC(I ,J,bi,bj) + vIceC(I ,J+1,bi,bj) |
| 350 |
& -vIceC(I-1,J,bi,bj) - vIceC(I-1,J+1,bi,bj)) |
| 351 |
& * _recip_dxC(I,J,bi,bj) |
| 352 |
END DO |
| 353 |
END DO |
| 354 |
|
| 355 |
ENDDO |
| 356 |
ENDDO |
| 357 |
|
| 358 |
C NOW DO ITERATION |
| 359 |
100 CONTINUE |
| 360 |
|
| 361 |
cph--- iteration starts here |
| 362 |
cph--- need to kick out goto |
| 363 |
phexit = -1 |
| 364 |
|
| 365 |
C ITERATION START ----------------------------------------------------- |
| 366 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 367 |
CADJ LOOP = iteration uice |
| 368 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 369 |
|
| 370 |
DO 8000 M=1, solv_max_iters |
| 371 |
cph( |
| 372 |
IF ( phexit .EQ. -1 ) THEN |
| 373 |
cph) |
| 374 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 375 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 376 |
C NOW SET U(3)=U(1) |
| 377 |
DO J=1,sNy |
| 378 |
DO I=1,sNx |
| 379 |
uIce(I,J,3,bi,bj)=uIce(I,J,1,bi,bj) |
| 380 |
END DO |
| 381 |
END DO |
| 382 |
|
| 383 |
DO 1200 J=1,sNy |
| 384 |
DO I=1,sNx |
| 385 |
IF(I.EQ.1) THEN |
| 386 |
AA2 = etaPlusZeta(I-1,J,bi,bj) |
| 387 |
& * _recip_dxF(I-1,J,bi,bj) |
| 388 |
& * _recip_dxC(I ,J,bi,bj) |
| 389 |
AA3=AA2*uIce(I-1,J,1,bi,bj)* _maskW(I,J,1,bi,bj) |
| 390 |
ELSE IF(I.EQ.sNx) THEN |
| 391 |
AA1 = etaPlusZeta(I ,J,bi,bj) |
| 392 |
& * _recip_dxF(I ,J,bi,bj) |
| 393 |
& * _recip_dxC(I ,J,bi,bj) |
| 394 |
AA3=AA1*uIce(I+1,J,1,bi,bj) * _maskW(I,J,1,bi,bj) |
| 395 |
ELSE |
| 396 |
AA3=ZERO |
| 397 |
END IF |
| 398 |
URT(I)=FXY(I,J,bi,bj)+AA3 |
| 399 |
& +UVRT1(I,J,bi,bj)*uIce(I,J-1,1,bi,bj) |
| 400 |
& +UVRT2(I,J,bi,bj)*uIce(I,J+1,1,bi,bj) |
| 401 |
URT(I)=URT(I)* _maskW(I,J,1,bi,bj) * seaiceMaskU(I,J,bi,bj) |
| 402 |
END DO |
| 403 |
|
| 404 |
DO I=1,sNx |
| 405 |
CUU(I)=CU(I,J,bi,bj) |
| 406 |
END DO |
| 407 |
URT(1)=URT(1)/BU(1,J,bi,bj) |
| 408 |
DO I=2,sNx |
| 409 |
IM=I-1 |
| 410 |
CUU(I)=CUU(I)/(BU(I,J,bi,bj)-AU(I,J,bi,bj)*CUU(IM)) |
| 411 |
URT(I)=(URT(I)-AU(I,J,bi,bj)*URT(IM)) |
| 412 |
& /(BU(I,J,bi,bj)-AU(I,J,bi,bj)*CUU(IM)) |
| 413 |
END DO |
| 414 |
DO I=1,sNx-1 |
| 415 |
J1=sNx-I |
| 416 |
J2=J1+1 |
| 417 |
URT(J1)=URT(J1)-CUU(J1)*URT(J2) |
| 418 |
END DO |
| 419 |
DO I=1,sNx |
| 420 |
uIce(I,J,1,bi,bj)=uIce(I,J,3,bi,bj) |
| 421 |
& +WFAU*(URT(I)-uIce(I,J,3,bi,bj)) |
| 422 |
END DO |
| 423 |
|
| 424 |
1200 CONTINUE |
| 425 |
|
| 426 |
ENDDO |
| 427 |
ENDDO |
| 428 |
|
| 429 |
IF(MOD(M,SOLV_NCHECK).EQ.0) THEN |
| 430 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 431 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 432 |
S1=ZERO |
| 433 |
DO J=1,sNy |
| 434 |
DO I=1,sNx |
| 435 |
UERR(I,J,bi,bj)=(uIce(I,J,1,bi,bj)-uIce(I,J,3,bi,bj)) |
| 436 |
& * _maskW(I,J,1,bi,bj) |
| 437 |
S1=MAX(ABS(UERR(I,J,bi,bj)),S1) |
| 438 |
END DO |
| 439 |
END DO |
| 440 |
_GLOBAL_MAX_R8( S1, myThid ) |
| 441 |
ENDDO |
| 442 |
ENDDO |
| 443 |
C SAFEGUARD AGAINST BAD FORCING ETC |
| 444 |
IF(M.GT.1.AND.S1.GT.S1A) WFAU=WFAU2 |
| 445 |
S1A=S1 |
| 446 |
IF(S1.LT.LSR_ERROR) THEN |
| 447 |
ICOUNT1=M |
| 448 |
cph( |
| 449 |
cph GO TO 8001 |
| 450 |
phexit = 1 |
| 451 |
cph) |
| 452 |
END IF |
| 453 |
END IF |
| 454 |
CALL SEAICE_EXCH_UV ( uIce, vIce, myThid ) |
| 455 |
|
| 456 |
cph( |
| 457 |
END IF |
| 458 |
cph) |
| 459 |
|
| 460 |
8000 CONTINUE |
| 461 |
cph 8001 CONTINUE |
| 462 |
C ITERATION END ----------------------------------------------------- |
| 463 |
|
| 464 |
IF ( debugLevel .GE. debLevB ) THEN |
| 465 |
_BEGIN_MASTER( myThid ) |
| 466 |
write(*,'(A,I6,1P2E22.14)')' U lsr iters, error = ',ICOUNT1,S1 |
| 467 |
_END_MASTER( myThid ) |
| 468 |
ENDIF |
| 469 |
|
| 470 |
C NOW FOR vIce |
| 471 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 472 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 473 |
|
| 474 |
DO J=1,sNy |
| 475 |
DO I=1,sNx |
| 476 |
C coefficients for VICE(I,J) |
| 477 |
C d/dy [(eta+zeta) d/dy] V |
| 478 |
AA1= etaPlusZeta(I,J ,bi,bj) |
| 479 |
& *_recip_dyF(I,J ,bi,bj) * _recip_dyC(I,J,bi,bj) |
| 480 |
AA2= etaPlusZeta(I,J-1,bi,bj) |
| 481 |
& * _recip_dyF(I,J-1,bi,bj) * _recip_dyC(I,J,bi,bj) |
| 482 |
C d/dx [eta d/dx] V |
| 483 |
AA3= etaMeanZ(I+1,J,bi,bj) |
| 484 |
& * _recip_dxG(I,J,bi,bj) * _recip_dxV(I+1,J,bi,bj) |
| 485 |
AA4= etaMeanZ(I ,J,bi,bj) |
| 486 |
& *_recip_dxG(I,J,bi,bj) * _recip_dxV(I ,J,bi,bj) |
| 487 |
C d/dy [(zeta-eta) tanphi/a] V |
| 488 |
AA5= zetaMinusEta(I,J ,bi,bj) * tanPhiAtU(I,J ,bi,bj) |
| 489 |
& * _recip_dyC(I,J,bi,bj)*recip_rSphere * 0.5 _d 0 |
| 490 |
AA6= zetaMinusEta(I,J-1,bi,bj) * tanPhiAtU(I,J-1,bi,bj) |
| 491 |
& * _recip_dyC(I,J,bi,bj)*recip_rSphere * 0.5 _d 0 |
| 492 |
C 2*eta tanphi/a (tanphi/a - d/dy) V |
| 493 |
AA7=TWO*etaMeanV(I,J,bi,bj) * recip_rSphere |
| 494 |
& * _tanPhiAtV(I,J,bi,bj) |
| 495 |
C* _tanPhiAtV(I,J,bi,bj)*recip_rSphere |
| 496 |
|
| 497 |
AV(I,J,bi,bj)=( |
| 498 |
& - AA2 |
| 499 |
& - AA6 |
| 500 |
& - AA7*1.0 _d 0 / ( _dyF(I,J,bi,bj) + _dyF(I,J-1,bi,bj) ) |
| 501 |
& )* _maskS(I,J,1,bi,bj) |
| 502 |
CV(I,J,bi,bj)=( |
| 503 |
& -AA1 |
| 504 |
& + AA5 |
| 505 |
& + AA7*1.0 _d 0 / ( _dyF(I,J,bi,bj) + _dyF(I,J-1,bi,bj) ) |
| 506 |
& )* _maskS(I,J,1,bi,bj) |
| 507 |
BV(I,J,bi,bj)= (ONE- _maskS(I,J,1,bi,bj)) |
| 508 |
& +( (AA1+AA2) + (AA3+AA4) + (AA5-AA6) |
| 509 |
& + AA7 * _tanPhiAtV(I,J,bi,bj)*recip_rSphere |
| 510 |
& + seaiceMassV(I,J,bi,bj)/SEAICE_deltaTdyn |
| 511 |
& + 0.5 _d 0 * ( DRAGS(I,J,bi,bj) + DRAGS(I,J-1,bi,bj) ) |
| 512 |
& )* _maskS(I,J,1,bi,bj) |
| 513 |
C coefficients for V(I-1,J) |
| 514 |
UVRT1(I,J,bi,bj)= AA4 |
| 515 |
C coefficients for V(I+1,J) |
| 516 |
UVRT2(I,J,bi,bj)= AA3 |
| 517 |
END DO |
| 518 |
END DO |
| 519 |
|
| 520 |
DO I=1,sNx |
| 521 |
AV(I,1,bi,bj)=ZERO |
| 522 |
CV(I,sNy,bi,bj)=ZERO |
| 523 |
CV(I,1,bi,bj)=CV(I,1,bi,bj)/BV(I,1,bi,bj) |
| 524 |
END DO |
| 525 |
|
| 526 |
C now set up right-hand-side |
| 527 |
DO J=1-Oly,sNy+Oly-1 |
| 528 |
DO I=1-Olx,sNx+Olx-1 |
| 529 |
dUdx(I,J) = ( uIceC(I+1,J,bi,bj) - uIceC(I,J,bi,bj) ) |
| 530 |
& * _recip_dxF(I,J,bi,bj) |
| 531 |
dUdy(I,J) = ( uIceC(I,J+1,bi,bj) - uIceC(I,J,bi,bj) ) |
| 532 |
& * _recip_dyU(I,J+1,bi,bj) |
| 533 |
ENDDO |
| 534 |
ENDDO |
| 535 |
DO J=1,sNy |
| 536 |
DO I=1,sNx |
| 537 |
C coriols, "off-diagonal" drag terms and other foring |
| 538 |
FXY(I,J,bi,bj)= |
| 539 |
& -0.5*( _fCori(i, j ,bi,bj) |
| 540 |
& *0.5*( uIceC(i ,j ,bi,bj)+uIceC(i+1, j,bi,bj) ) |
| 541 |
& + _fCori(i,j-1,bi,bj) |
| 542 |
& *0.5*( uIceC(i ,j-1,bi,bj)+uIceC(i+1,j-1,bi,bj) ) ) |
| 543 |
& + FORCEY(I,J,bi,bj) |
| 544 |
C + d/dy[ (zeta-eta) dU/dx ] |
| 545 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) + |
| 546 |
& ( zetaMinusEta(I,J ,bi,bj)*dUdx(I,J ) |
| 547 |
& - zetaMinusEta(I,J-1,bi,bj)*dUdx(I,J-1) ) |
| 548 |
& * _recip_dyC(I,J,bi,bj) |
| 549 |
C + d/dx[ eta dU/dy ] |
| 550 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) + |
| 551 |
& ( etaMeanZ(I+1,J ,bi,bj) * dUdy(I+1,J) |
| 552 |
& - etaMeanZ(I ,J ,bi,bj) * dUdy(I ,J)) |
| 553 |
& * _recip_dxG(I,J,bi,bj) |
| 554 |
C + d/dx[ eta * (tanphi/a) * U ] |
| 555 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) + ( |
| 556 |
& etaMeanZ(I+1,J,bi,bj) * 0.5 * |
| 557 |
& ( uIceC(I+1,J ,bi,bj) * _tanPhiAtU(I+1,J ,bi,bj) |
| 558 |
& + uIceC(I+1,J-1,bi,bj) * _tanPhiAtU(I+1,J-1,bi,bj) ) |
| 559 |
& - etaMeanZ(I ,J,bi,bj) * 0.5 * |
| 560 |
& ( uIceC(I ,J ,bi,bj) * _tanPhiAtU(I ,J ,bi,bj) |
| 561 |
& + uIceC(I ,J-1,bi,bj) * _tanPhiAtU(I ,J ,bi,bj) ) |
| 562 |
& ) * _recip_dxG(I,J,bi,bj)*recip_rSphere |
| 563 |
C + 2*eta*(tanphi/a) dU/dx |
| 564 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) + |
| 565 |
& TWO * etaMeanV(I,J,bi,bj)*TWO * _tanPhiAtV(I,J,bi,bj) |
| 566 |
& * ( uIceC(I+1,J,bi,bj)+uIceC(I+1,J-1,bi,bj) |
| 567 |
& - uIceC(I ,J,bi,bj)-uIceC(I ,J-1,bi,bj) ) |
| 568 |
& * _recip_dxG(I,J,bi,bj) |
| 569 |
& *recip_rSphere |
| 570 |
END DO |
| 571 |
END DO |
| 572 |
|
| 573 |
ENDDO |
| 574 |
ENDDO |
| 575 |
|
| 576 |
C NOW DO ITERATION |
| 577 |
300 CONTINUE |
| 578 |
|
| 579 |
cph--- iteration starts here |
| 580 |
cph--- need to kick out goto |
| 581 |
phexit = -1 |
| 582 |
|
| 583 |
C ITERATION START ----------------------------------------------------- |
| 584 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 585 |
CADJ LOOP = iteration vice |
| 586 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 587 |
|
| 588 |
DO 9000 M=1, solv_max_iters |
| 589 |
cph( |
| 590 |
IF ( phexit .EQ. -1 ) THEN |
| 591 |
cph) |
| 592 |
C NOW SET U(3)=U(1) |
| 593 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 594 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 595 |
|
| 596 |
DO J=1,sNy |
| 597 |
DO I=1,sNx |
| 598 |
vIce(I,J,3,bi,bj)=vIce(I,J,1,bi,bj) |
| 599 |
END DO |
| 600 |
END DO |
| 601 |
|
| 602 |
DO I=1,sNx |
| 603 |
DO J=1,sNy |
| 604 |
IF(J.EQ.1) THEN |
| 605 |
AA2= etaPlusZeta(I,J-1,bi,bj) |
| 606 |
& * _recip_dyF(I,J-1,bi,bj) * _recip_dyC(I,J,bi,bj) |
| 607 |
AA3=( AA2 |
| 608 |
& + zetaMinusEta(I,J-1,bi,bj) * tanPhiAtU(I,J-1,bi,bj) |
| 609 |
& * _recip_dyC(I,J,bi,bj)*recip_rSphere |
| 610 |
& + TWO*etaMeanV(I,J,bi,bj) * recip_rSphere |
| 611 |
& * _tanPhiAtV(I,J,bi,bj) |
| 612 |
& *1.0 _d 0 / ( _dyF(I,J,bi,bj) + _dyF(I,J-1,bi,bj) ) |
| 613 |
& ) * vIce(I,J-1,1,bi,bj) * _maskS(I,J,1,bi,bj) |
| 614 |
ELSE IF(J.EQ.sNy) THEN |
| 615 |
AA1= etaPlusZeta(I,J ,bi,bj) |
| 616 |
& *_recip_dyF(I,J ,bi,bj) * _recip_dyC(I,J,bi,bj) |
| 617 |
AA3=( AA1 |
| 618 |
& - zetaMinusEta(I,J ,bi,bj) * tanPhiAtU(I,J ,bi,bj) |
| 619 |
& * _recip_dyC(I,J,bi,bj)*recip_rSphere |
| 620 |
& - TWO*etaMeanV(I,J,bi,bj) * recip_rSphere |
| 621 |
& * _tanPhiAtV(I,J,bi,bj) |
| 622 |
& *1.0 _d 0 / ( _dyF(I,J,bi,bj) + _dyF(I,J-1,bi,bj) ) |
| 623 |
& ) * vIce(I,J+1,1,bi,bj) * _maskS(I,J,1,bi,bj) |
| 624 |
ELSE |
| 625 |
AA3=ZERO |
| 626 |
END IF |
| 627 |
|
| 628 |
VRT(J)=FXY(I,J,bi,bj)+AA3+UVRT1(I,J,bi,bj)*vIce(I-1,J,1,bi,bj) |
| 629 |
& +UVRT2(I,J,bi,bj)*vIce(I+1,J,1,bi,bj) |
| 630 |
VRT(J)=VRT(J)* _maskS(I,J,1,bi,bj) * seaiceMaskV(I,J,bi,bj) |
| 631 |
END DO |
| 632 |
|
| 633 |
DO J=1,sNy |
| 634 |
CVV(J)=CV(I,J,bi,bj) |
| 635 |
END DO |
| 636 |
VRT(1)=VRT(1)/BV(I,1,bi,bj) |
| 637 |
DO J=2,sNy |
| 638 |
JM=J-1 |
| 639 |
CVV(J)=CVV(J)/(BV(I,J,bi,bj)-AV(I,J,bi,bj)*CVV(JM)) |
| 640 |
VRT(J)=(VRT(J)-AV(I,J,bi,bj)*VRT(JM)) |
| 641 |
& /(BV(I,J,bi,bj)-AV(I,J,bi,bj)*CVV(JM)) |
| 642 |
END DO |
| 643 |
DO J=1,sNy-1 |
| 644 |
J1=sNy-J |
| 645 |
J2=J1+1 |
| 646 |
VRT(J1)=VRT(J1)-CVV(J1)*VRT(J2) |
| 647 |
END DO |
| 648 |
DO J=1,sNy |
| 649 |
vIce(I,J,1,bi,bj)=vIce(I,J,3,bi,bj) |
| 650 |
& +WFAV*(VRT(J)-vIce(I,J,3,bi,bj)) |
| 651 |
END DO |
| 652 |
ENDDO |
| 653 |
|
| 654 |
ENDDO |
| 655 |
ENDDO |
| 656 |
|
| 657 |
IF(MOD(M,SOLV_NCHECK).EQ.0) THEN |
| 658 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 659 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 660 |
S2=ZERO |
| 661 |
DO J=1,sNy |
| 662 |
DO I=1,sNx |
| 663 |
UERR(I,J,bi,bj)=(vIce(I,J,1,bi,bj)-vIce(I,J,3,bi,bj)) |
| 664 |
& * _maskS(I,J,1,bi,bj) |
| 665 |
S2=MAX(ABS(UERR(I,J,bi,bj)),S2) |
| 666 |
END DO |
| 667 |
END DO |
| 668 |
_GLOBAL_MAX_R8( S2, myThid ) |
| 669 |
ENDDO |
| 670 |
ENDDO |
| 671 |
C SAFEGUARD AGAINST BAD FORCING ETC |
| 672 |
IF(M.GT.1.AND.S2.GT.S2A) WFAV=WFAV2 |
| 673 |
S2A=S2 |
| 674 |
IF(S2.LT.LSR_ERROR) THEN |
| 675 |
ICOUNT2=M |
| 676 |
cph( |
| 677 |
cph GO TO 9001 |
| 678 |
phexit = 1 |
| 679 |
cph) |
| 680 |
END IF |
| 681 |
END IF |
| 682 |
|
| 683 |
CALL SEAICE_EXCH_UV ( uIce, vIce, myThid ) |
| 684 |
|
| 685 |
cph( |
| 686 |
END IF |
| 687 |
cph) |
| 688 |
|
| 689 |
9000 CONTINUE |
| 690 |
cph 9001 CONTINUE |
| 691 |
C ITERATION END ----------------------------------------------------- |
| 692 |
|
| 693 |
IF ( debugLevel .GE. debLevB ) THEN |
| 694 |
_BEGIN_MASTER( myThid ) |
| 695 |
write(*,'(A,I6,1P2E22.14)')' V lsr iters, error = ',ICOUNT2,S2 |
| 696 |
_END_MASTER( myThid ) |
| 697 |
ENDIF |
| 698 |
|
| 699 |
C NOW END |
| 700 |
C NOW MAKE COROLIS TERM IMPLICIT |
| 701 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 702 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 703 |
DO J=1,sNy |
| 704 |
DO I=1,sNx |
| 705 |
uIce(I,J,1,bi,bj)=uIce(I,J,1,bi,bj)* _maskW(I,J,1,bi,bj) |
| 706 |
vIce(I,J,1,bi,bj)=vIce(I,J,1,bi,bj)* _maskS(I,J,1,bi,bj) |
| 707 |
END DO |
| 708 |
END DO |
| 709 |
ENDDO |
| 710 |
ENDDO |
| 711 |
CALL SEAICE_EXCH_UV ( uIce, vIce, myThid ) |
| 712 |
|
| 713 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
| 714 |
#endif /* SEAICE_CGRID */ |
| 715 |
|
| 716 |
RETURN |
| 717 |
END |
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