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heimbach |
1.2 |
C $Header: |
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#include "SEAICE_OPTIONS.h" |
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CStartOfInterface |
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SUBROUTINE lsr( myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE lsr | |
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dimitri |
1.6 |
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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heimbach |
1.2 |
C |==========================================================| |
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C \==========================================================/ |
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IMPLICIT NONE |
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C === Global variables === |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "SEAICE.h" |
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#include "SEAICE_PARAMS.h" |
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#include "SEAICE_GRID.h" |
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C === Routine arguments === |
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C myThid - Thread no. that called this routine. |
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INTEGER myThid |
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CEndOfInterface |
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#ifdef ALLOW_SEAICE |
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dimitri |
1.5 |
#ifdef SEAICE_ALLOW_DYNAMICS |
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heimbach |
1.2 |
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C === Local variables === |
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dimitri |
1.4 |
C i,j,bi,bj - Loop counters |
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heimbach |
1.2 |
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dimitri |
1.6 |
INTEGER i, j, m, bi, bj, j1, j2, im, jm |
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INTEGER ICOUNT1, ICOUNT2, SOLV_MAX_ITERS, SOLV_NCHECK |
40 |
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_RL RADIUS, RADIUS2 |
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_RL WFAU, WFAV, WFAU1, WFAV1, WFAU2, WFAV2 |
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_RL AA1, AA2, AA3, AA4, AA5, AA6, S1, S2, S1A, S2A |
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_RL AU (1:sNx,1:sNy,nSx,nSy), BU (1:sNx,1:sNy,nSx,nSy) |
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&, CU (1:sNx,1:sNy,nSx,nSy) |
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_RL AV (1:sNx,1:sNy,nSx,nSy), BV (1:sNx,1:sNy,nSx,nSy) |
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&, CV (1:sNx,1:sNy,nSx,nSy) |
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heimbach |
1.2 |
_RL UERR (1:sNx,1:sNy,nSx,nSy) |
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dimitri |
1.6 |
_RL FXY (1:sNx, 1:sNy,nSx,nSy) |
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heimbach |
1.2 |
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_RL URT(1:sNx), VRT(1:sNy), CUU(1:sNx), CVV(1:sNy) |
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dimitri |
1.6 |
_RL ETAMEAN (1:sNx,1:sNy,nSx,nSy) |
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_RL ZETAMEAN (1:sNx,1:sNy,nSx,nSy) |
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_RL DELXY (1:sNx,1:sNy,nSx,nSy) |
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_RL DELXR (1:sNx,1:sNy,nSx,nSy) |
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_RL DELYR (1:sNx,1:sNy,nSx,nSy) |
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_RL DELX2 (1:sNx,1:sNy,nSx,nSy) |
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_RL DELY2 (1:sNx,1:sNy,nSx,nSy) |
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_RL UVRT1 (1:sNx,1:sNy,nSx,nSy) |
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_RL UVRT2 (1:sNx,1:sNy,nSx,nSy) |
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heimbach |
1.2 |
C SET SOME VALUES |
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dimitri |
1.3 |
RADIUS=6370. _d 3 |
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dimitri |
1.6 |
RADIUS2=ONE/(RADIUS*RADIUS) |
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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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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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SOLV_MAX_ITERS=1500 |
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SOLV_NCHECK=2 |
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ICOUNT1=SOLV_MAX_ITERS |
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ICOUNT2=SOLV_MAX_ITERS |
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heimbach |
1.2 |
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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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DO j=1,sNy |
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DO i=1,sNx |
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FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
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dimitri |
1.6 |
& +AMASS(I,J,bi,bj)/DELTAT*UICE(I,J,2,bi,bj) |
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heimbach |
1.2 |
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
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dimitri |
1.6 |
& +AMASS(I,J,bi,bj)/DELTAT*VICE(I,J,2,bi,bj) |
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heimbach |
1.2 |
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj)*UVM(I,J,bi,bj) |
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FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj)*UVM(I,J,bi,bj) |
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dimitri |
1.6 |
ETAMEAN(I,J,bi,bj) =QUART*(ETA(I,J-1,bi,bj)+ETA(I-1,J-1,bi,bj) |
96 |
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& +ETA(I,J,bi,bj)+ETA(I-1,J,bi,bj)) |
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ZETAMEAN(I,J,bi,bj)=QUART*(ZETA(I,J-1,bi,bj) |
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& +ZETA(I-1,J-1,bi,bj) |
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& +ZETA(I,J,bi,bj)+ZETA(I-1,J,bi,bj)) |
100 |
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DELX2(I,J,bi,bj)=HALF/(DXUICE(I,J,bi,bj)*DXUICE(I,J,bi,bj)) |
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DELY2(I,J,bi,bj)=HALF/(DYUICE(I,J,bi,bj)*DYUICE(I,J,bi,bj)) |
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DELXY(I,J,bi,bj)=HALF/(DXUICE(I,J,bi,bj)*DYUICE(I,J,bi,bj)) |
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DELXR(I,J,bi,bj)=HALF/(DXUICE(I,J,bi,bj)*RADIUS) |
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DELYR(I,J,bi,bj)=HALF/(DYUICE(I,J,bi,bj)*RADIUS) |
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heimbach |
1.2 |
ENDDO |
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ENDDO |
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ENDDO |
108 |
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ENDDO |
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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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dimitri |
1.6 |
AA1=((ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj)) |
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& /CSTICE(I-1,J-1,bi,bj) |
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& +(ETA(I,J,bi,bj)+ZETA(I,J,bi,bj)) |
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& /CSTICE(I-1,J,bi,bj))/CSUICE(I,J,bi,bj) |
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AA2=((ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj)) |
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& /CSTICE(I-1,J-1,bi,bj) |
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& +(ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj)) |
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& /CSTICE(I-1,J,bi,bj))/CSUICE(I,J,bi,bj) |
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AA3=ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
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AA4=ETA(I-1,J-1,bi,bj)+ETA(I,J-1,bi,bj) |
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AA5=-(ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj)-ETA(I-1,J-1,bi,bj) |
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& -ETA(I,J-1,bi,bj))*TNGICE(I,J,bi,bj) |
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AA6=TWO*ETAMEAN(I,J,bi,bj)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
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AU(I,J,bi,bj)=-AA2*DELX2(I,J,bi,bj)*UVM(I,J,bi,bj) |
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BU(I,J,bi,bj)=((AA1+AA2)*DELX2(I,J,bi,bj)+(AA3+AA4) |
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& *DELY2(I,J,bi,bj) |
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& +AA5*DELYR(I,J,bi,bj)+AA6*RADIUS2 |
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heimbach |
1.2 |
& +AMASS(I,J,bi,bj)/DELTAT+DRAGS(I,J,bi,bj)) |
133 |
dimitri |
1.3 |
& *UVM(I,J,bi,bj)+(ONE-UVM(I,J,bi,bj)) |
134 |
dimitri |
1.6 |
CU(I,J,bi,bj)=-AA1*DELX2(I,J,bi,bj)*UVM(I,J,bi,bj) |
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heimbach |
1.2 |
END DO |
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END DO |
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DO J=1,sNy |
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dimitri |
1.6 |
AU(1,J,bi,bj)=ZERO |
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CU(sNx,J,bi,bj)=ZERO |
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CU(1,J,bi,bj)=CU(1,J,bi,bj)/BU(1,J,bi,bj) |
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heimbach |
1.2 |
END DO |
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DO J=1,sNy |
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DO I=1,sNx |
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dimitri |
1.6 |
FXY(I,J,bi,bj)=DRAGA(I,J,bi,bj)*VICEC(I,J,bi,bj) |
147 |
heimbach |
1.2 |
3 +FORCEX(I,J,bi,bj) |
148 |
dimitri |
1.6 |
3 +HALF*(ZETA(I,J,bi,bj)*(VICEC(I+1,J+1,bi,bj) |
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heimbach |
1.2 |
3 +VICEC(I,J+1,bi,bj) |
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3 -VICEC(I+1,J,bi,bj)-VICEC(I,J,bi,bj)) |
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dimitri |
1.6 |
3 +ZETA(I,J-1,bi,bj)*(VICEC(I+1,J,bi,bj) |
152 |
heimbach |
1.2 |
3 +VICEC(I,J,bi,bj)-VICEC(I+1,J-1,bi,bj) |
153 |
dimitri |
1.6 |
3 -VICEC(I,J-1,bi,bj))+ZETA(I-1,J,bi,bj) |
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heimbach |
1.2 |
3 *(VICEC(I,J,bi,bj)+VICEC(I-1,J,bi,bj) |
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3 -VICEC(I,J+1,bi,bj)-VICEC(I-1,J+1,bi,bj)) |
156 |
dimitri |
1.6 |
3 +ZETA(I-1,J-1,bi,bj)*(VICEC(I,J-1,bi,bj) |
157 |
heimbach |
1.2 |
3 +VICEC(I-1,J-1,bi,bj)-VICEC(I,J,bi,bj) |
158 |
dimitri |
1.6 |
3 -VICEC(I-1,J,bi,bj)))*DELXY(I,J,bi,bj) |
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3 /CSUICE(I,J,bi,bj) |
160 |
heimbach |
1.2 |
3 |
161 |
dimitri |
1.6 |
4 -HALF*(ETA(I,J,bi,bj)*(VICEC(I+1,J+1,bi,bj) |
162 |
heimbach |
1.2 |
4 +VICEC(I,J+1,bi,bj) |
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4 -VICEC(I+1,J,bi,bj)-VICEC(I,J,bi,bj)) |
164 |
dimitri |
1.6 |
4 +ETA(I,J-1,bi,bj)*(VICEC(I+1,J,bi,bj) |
165 |
heimbach |
1.2 |
4 +VICEC(I,J,bi,bj)-VICEC(I+1,J-1,bi,bj) |
166 |
dimitri |
1.6 |
4 -VICEC(I,J-1,bi,bj))+ETA(I-1,J,bi,bj) |
167 |
heimbach |
1.2 |
4 *(VICEC(I,J,bi,bj)+VICEC(I-1,J,bi,bj) |
168 |
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4 -VICEC(I,J+1,bi,bj)-VICEC(I-1,J+1,bi,bj)) |
169 |
dimitri |
1.6 |
4 +ETA(I-1,J-1,bi,bj)*(VICEC(I,J-1,bi,bj) |
170 |
heimbach |
1.2 |
4 +VICEC(I-1,J-1,bi,bj)-VICEC(I,J,bi,bj) |
171 |
dimitri |
1.6 |
4 -VICEC(I-1,J,bi,bj)))*DELXY(I,J,bi,bj) |
172 |
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4 /CSUICE(I,J,bi,bj) |
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heimbach |
1.2 |
4 |
174 |
dimitri |
1.6 |
5 +HALF*(ETA(I,J,bi,bj)/CSTICE(I-1,J,bi,bj) |
175 |
heimbach |
1.2 |
5 *(VICEC(I+1,J+1,bi,bj)+VICEC(I+1,J,bi,bj) |
176 |
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5 -VICEC(I,J+1,bi,bj)-VICEC(I,J,bi,bj)) |
177 |
dimitri |
1.6 |
5 +ETA(I-1,J,bi,bj)/CSTICE(I-1,J,bi,bj) |
178 |
heimbach |
1.2 |
5 *(VICEC(I,J+1,bi,bj) |
179 |
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5 +VICEC(I,J,bi,bj)-VICEC(I-1,J+1,bi,bj) |
180 |
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5 -VICEC(I-1,J,bi,bj)) |
181 |
dimitri |
1.6 |
5 +ETA(I,J-1,bi,bj)/CSTICE(I-1,J-1,bi,bj) |
182 |
heimbach |
1.2 |
5 *(VICEC(I,J,bi,bj)+VICEC(I,J-1,bi,bj) |
183 |
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5 -VICEC(I+1,J,bi,bj)-VICEC(I+1,J-1,bi,bj)) |
184 |
dimitri |
1.6 |
5 +ETA(I-1,J-1,bi,bj)/CSTICE(I-1,J-1,bi,bj) |
185 |
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5 *(VICEC(I-1,J,bi,bj) |
186 |
heimbach |
1.2 |
5 +VICEC(I-1,J-1,bi,bj)-VICEC(I,J,bi,bj) |
187 |
dimitri |
1.6 |
5 -VICEC(I,J-1,bi,bj)))*DELXY(I,J,bi,bj) |
188 |
heimbach |
1.2 |
5 |
189 |
dimitri |
1.6 |
6 -((ZETA(I,J,bi,bj)+ZETA(I,J-1,bi,bj) |
190 |
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6 -ZETA(I-1,J-1,bi,bj)-ZETA(I-1,J,bi,bj)) |
191 |
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6 +(ETA(I,J,bi,bj)+ETA(I,J-1,bi,bj)-ETA(I-1,J-1,bi,bj) |
192 |
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6 -ETA(I-1,J,bi,bj))) |
193 |
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6 *TNGICE(I,J,bi,bj)*VICEC(I,J,bi,bj)*DELXR(I,J,bi,bj) |
194 |
heimbach |
1.2 |
6 /CSUICE(I,J,bi,bj) |
195 |
dimitri |
1.6 |
6 -(ETAMEAN(I,J,bi,bj)+ZETAMEAN(I,J,bi,bj)) |
196 |
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6 *TNGICE(I,J,bi,bj) |
197 |
heimbach |
1.2 |
6 *(VICEC(I+1,J,bi,bj)-VICEC(I-1,J,bi,bj)) |
198 |
dimitri |
1.6 |
6 *DELXR(I,J,bi,bj)/CSUICE(I,J,bi,bj) |
199 |
heimbach |
1.2 |
6 |
200 |
dimitri |
1.6 |
7 -ETAMEAN(I,J,bi,bj)*TWO*TNGICE(I,J,bi,bj) |
201 |
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7 *(VICEC(I+1,J,bi,bj) |
202 |
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7 -VICEC(I-1,J,bi,bj))*DELXR(I,J,bi,bj) |
203 |
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7 /CSUICE(I,J,bi,bj) |
204 |
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UVRT1(I,J,bi,bj)=(ETA(I-1,J-1,bi,bj)+ETA(I,J-1,bi,bj)) |
205 |
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& *DELY2(I,J,bi,bj) |
206 |
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& -ETAMEAN(I,J,bi,bj)*DELYR(I,J,bi,bj) |
207 |
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& *TNGICE(I,J-1,bi,bj) |
208 |
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& +ETAMEAN(I,J,bi,bj)*DELYR(I,J,bi,bj) |
209 |
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& *TWO*TNGICE(I,J,bi,bj) |
210 |
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UVRT2(I,J,bi,bj)=(ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj)) |
211 |
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& *DELY2(I,J,bi,bj) |
212 |
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& +ETAMEAN(I,J,bi,bj)*DELYR(I,J,bi,bj) |
213 |
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& *TNGICE(I,J+1,bi,bj) |
214 |
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& -ETAMEAN(I,J,bi,bj)*DELYR(I,J,bi,bj) |
215 |
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& *TWO*TNGICE(I,J,bi,bj) |
216 |
heimbach |
1.2 |
END DO |
217 |
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END DO |
218 |
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219 |
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ENDDO |
220 |
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ENDDO |
221 |
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222 |
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C NOW DO ITERATION |
223 |
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100 CONTINUE |
224 |
dimitri |
1.6 |
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225 |
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DO 8000 M=1, solv_max_iters |
226 |
heimbach |
1.2 |
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227 |
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DO bj=myByLo(myThid),myByHi(myThid) |
228 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
229 |
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C NOW SET U(3)=U(1) |
230 |
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DO J=1,sNy |
231 |
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DO I=1,sNx |
232 |
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UICE(I,J,3,bi,bj)=UICE(I,J,1,bi,bj) |
233 |
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END DO |
234 |
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END DO |
235 |
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236 |
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DO 1200 J=1,sNy |
237 |
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DO I=1,sNx |
238 |
dimitri |
1.6 |
IF(I.EQ.1) THEN |
239 |
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AA2=((ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj)) |
240 |
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& /CSTICE(I-1,J-1,bi,bj) |
241 |
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& +(ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj)) |
242 |
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& /CSTICE(I-1,J,bi,bj))/CSUICE(I,J,bi,bj) |
243 |
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AA3=AA2*DELX2(I,J,bi,bj)*UICE(I-1,J,1,bi,bj)*UVM(I,J,bi,bj) |
244 |
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ELSE IF(I.EQ.sNx) THEN |
245 |
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AA1=((ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj)) |
246 |
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& /CSTICE(I-1,J-1,bi,bj) |
247 |
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& +(ETA(I,J,bi,bj)+ZETA(I,J,bi,bj)) |
248 |
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& /CSTICE(I-1,J,bi,bj))/CSUICE(I,J,bi,bj) |
249 |
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AA3=AA1*DELX2(I,J,bi,bj)*UICE(I+1,J,1,bi,bj)*UVM(I,J,bi,bj) |
250 |
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ELSE |
251 |
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AA3=ZERO |
252 |
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END IF |
253 |
|
|
URT(I)=FXY(I,J,bi,bj)+AA3 |
254 |
|
|
& +UVRT1(I,J,bi,bj)*UICE(I,J-1,1,bi,bj) |
255 |
|
|
& +UVRT2(I,J,bi,bj)*UICE(I,J+1,1,bi,bj) |
256 |
heimbach |
1.2 |
URT(I)=URT(I)*UVM(I,J,bi,bj) |
257 |
|
|
END DO |
258 |
|
|
|
259 |
|
|
DO I=1,sNx |
260 |
dimitri |
1.6 |
CUU(I)=CU(I,J,bi,bj) |
261 |
heimbach |
1.2 |
END DO |
262 |
dimitri |
1.6 |
URT(1)=URT(1)/BU(1,J,bi,bj) |
263 |
heimbach |
1.2 |
DO I=2,sNx |
264 |
|
|
IM=I-1 |
265 |
dimitri |
1.6 |
CUU(I)=CUU(I)/(BU(I,J,bi,bj)-AU(I,J,bi,bj)*CUU(IM)) |
266 |
|
|
URT(I)=(URT(I)-AU(I,J,bi,bj)*URT(IM)) |
267 |
|
|
& /(BU(I,J,bi,bj)-AU(I,J,bi,bj)*CUU(IM)) |
268 |
heimbach |
1.2 |
END DO |
269 |
|
|
DO I=1,sNx-1 |
270 |
|
|
J1=sNx-I |
271 |
|
|
J2=J1+1 |
272 |
|
|
URT(J1)=URT(J1)-CUU(J1)*URT(J2) |
273 |
|
|
END DO |
274 |
|
|
DO I=1,sNx |
275 |
|
|
UICE(I,J,1,bi,bj)=UICE(I,J,3,bi,bj) |
276 |
|
|
& +WFAU*(URT(I)-UICE(I,J,3,bi,bj)) |
277 |
|
|
END DO |
278 |
|
|
|
279 |
|
|
1200 CONTINUE |
280 |
|
|
|
281 |
|
|
ENDDO |
282 |
|
|
ENDDO |
283 |
|
|
|
284 |
dimitri |
1.6 |
IF(MOD(M,SOLV_NCHECK).EQ.0) THEN |
285 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
286 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
287 |
|
|
S1=ZERO |
288 |
|
|
DO J=1,sNy |
289 |
|
|
DO I=1,sNx |
290 |
|
|
UERR(I,J,bi,bj)=(UICE(I,J,1,bi,bj)-UICE(I,J,3,bi,bj)) |
291 |
heimbach |
1.2 |
& *UVM(I,J,bi,bj) |
292 |
dimitri |
1.6 |
S1=MAX(ABS(UERR(I,J,bi,bj)),S1) |
293 |
|
|
END DO |
294 |
heimbach |
1.2 |
END DO |
295 |
dimitri |
1.6 |
_GLOBAL_MAX_R8( S1, myThid ) |
296 |
|
|
ENDDO |
297 |
heimbach |
1.2 |
ENDDO |
298 |
dimitri |
1.6 |
C SAFEGUARD AGAINST BAD FORCING ETC |
299 |
|
|
IF(M.GT.1.AND.S1.GT.S1A) WFAU=WFAU2 |
300 |
|
|
S1A=S1 |
301 |
|
|
IF(S1.LT.LSR_ERROR) THEN |
302 |
|
|
ICOUNT1=M |
303 |
|
|
GO TO 8001 |
304 |
|
|
END IF |
305 |
|
|
END IF |
306 |
dimitri |
1.5 |
CALL SEAICE_EXCH ( UICE, myThid ) |
307 |
dimitri |
1.6 |
|
308 |
|
|
8000 CONTINUE |
309 |
|
|
8001 CONTINUE |
310 |
|
|
write(*,'(A,I6,1P2E22.14)')' U lsr iters, error = ',ICOUNT1,S1 |
311 |
heimbach |
1.2 |
|
312 |
|
|
C NOW FOR VICE |
313 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
314 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
315 |
|
|
|
316 |
|
|
DO J=1,sNy |
317 |
|
|
DO I=1,sNx |
318 |
dimitri |
1.6 |
AA1=ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
319 |
|
|
& +ZETA(I,J,bi,bj) |
320 |
|
|
AA2=ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj)+ETA(I,J-1,bi,bj) |
321 |
|
|
& +ZETA(I,J-1,bi,bj) |
322 |
|
|
AA3=(ETA(I,J-1,bi,bj)/CSUICE(I,J,bi,bj)+ETA(I,J,bi,bj) |
323 |
heimbach |
1.2 |
& /CSUICE(I,J,bi,bj))/CSUICE(I,J,bi,bj) |
324 |
dimitri |
1.6 |
AA4=(ETA(I-1,J-1,bi,bj)/CSUICE(I,J,bi,bj)+ETA(I-1,J,bi,bj) |
325 |
heimbach |
1.2 |
& /CSUICE(I,J,bi,bj))/CSUICE(I,J,bi,bj) |
326 |
dimitri |
1.6 |
AA5=((ZETA(I-1,J,bi,bj)-ETA(I-1,J,bi,bj)) |
327 |
|
|
& +(ZETA(I,J,bi,bj)-ETA(I,J,bi,bj)) |
328 |
|
|
& -(ZETA(I-1,J-1,bi,bj)-ETA(I-1,J-1,bi,bj)) |
329 |
|
|
& -(ZETA(I,J-1,bi,bj) |
330 |
|
|
& -ETA(I,J-1,bi,bj)))*TNGICE(I,J,bi,bj) |
331 |
|
|
AA6=TWO*ETAMEAN(I,J,bi,bj)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
332 |
|
|
|
333 |
|
|
AV(I,J,bi,bj)=(-AA2*DELY2(I,J,bi,bj) |
334 |
|
|
& -(ZETAMEAN(I,J,bi,bj)-ETAMEAN(I,J,bi,bj)) |
335 |
|
|
& *TNGICE(I,J-1,bi,bj)*DELYR(I,J,bi,bj) |
336 |
|
|
& -ETAMEAN(I,J,bi,bj)*TWO*TNGICE(I,J,bi,bj)*DELYR(I,J,bi,bj)) |
337 |
|
|
& *UVM(I,J,bi,bj) |
338 |
|
|
BV(I,J,bi,bj)=((AA1+AA2)*DELY2(I,J,bi,bj) |
339 |
|
|
& +(AA3+AA4)*DELX2(I,J,bi,bj) |
340 |
|
|
& +AA5*DELYR(I,J,bi,bj)+AA6*RADIUS2 |
341 |
|
|
& +AMASS(I,J,bi,bj)/DELTAT+DRAGS(I,J,bi,bj)) |
342 |
|
|
& *UVM(I,J,bi,bj)+(ONE-UVM(I,J,bi,bj)) |
343 |
|
|
CV(I,J,bi,bj)=(-AA1*DELY2(I,J,bi,bj) |
344 |
|
|
& +(ZETAMEAN(I,J,bi,bj)-ETAMEAN(I,J,bi,bj)) |
345 |
|
|
& *TNGICE(I,J+1,bi,bj)*DELYR(I,J,bi,bj) |
346 |
|
|
& +ETAMEAN(I,J,bi,bj)*TWO*TNGICE(I,J,bi,bj)*DELYR(I,J,bi,bj)) |
347 |
|
|
& *UVM(I,J,bi,bj) |
348 |
heimbach |
1.2 |
END DO |
349 |
|
|
END DO |
350 |
|
|
|
351 |
|
|
DO I=1,sNx |
352 |
dimitri |
1.6 |
AV(I,1,bi,bj)=ZERO |
353 |
|
|
CV(I,sNy,bi,bj)=ZERO |
354 |
|
|
CV(I,1,bi,bj)=CV(I,1,bi,bj)/BV(I,1,bi,bj) |
355 |
heimbach |
1.2 |
END DO |
356 |
|
|
|
357 |
|
|
DO J=1,sNy |
358 |
|
|
DO I=1,sNx |
359 |
dimitri |
1.6 |
FXY(I,J,bi,bj)=-DRAGA(I,J,bi,bj)*UICEC(I,J,bi,bj) |
360 |
heimbach |
1.2 |
2 +FORCEY(I,J,bi,bj) |
361 |
dimitri |
1.3 |
3 +(HALF*(UICEC(I+1,J,bi,bj)-UICEC(I-1,J,bi,bj)) |
362 |
dimitri |
1.6 |
3 *(ZETA(I-1,J,bi,bj)+ZETA(I,J,bi,bj) |
363 |
|
|
3 -ZETA(I-1,J-1,bi,bj)-ZETA(I,J-1,bi,bj))*DELXY(I,J,bi,bj) |
364 |
|
|
3 /CSUICE(I,J,bi,bj)+HALF*ZETAMEAN(I,J,bi,bj) |
365 |
|
|
3 *((UICEC(I+1,J+1,bi,bj) |
366 |
heimbach |
1.2 |
3 -UICEC(I-1,J+1,bi,bj))/CSUICE(I,J+1,bi,bj) |
367 |
|
|
3 -(UICEC(I+1,J-1,bi,bj)-UICEC(I-1,J-1,bi,bj)) |
368 |
dimitri |
1.6 |
3 /CSUICE(I,J-1,bi,bj))*DELXY(I,J,bi,bj)) |
369 |
heimbach |
1.2 |
3 |
370 |
dimitri |
1.3 |
4 -(HALF*(UICEC(I+1,J,bi,bj)-UICEC(I-1,J,bi,bj)) |
371 |
dimitri |
1.6 |
4 *(ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
372 |
|
|
4 -ETA(I-1,J-1,bi,bj)-ETA(I,J-1,bi,bj))*DELXY(I,J,bi,bj) |
373 |
|
|
4 /CSUICE(I,J,bi,bj) |
374 |
|
|
4 +HALF*ETAMEAN(I,J,bi,bj)*((UICEC(I+1,J+1,bi,bj) |
375 |
heimbach |
1.2 |
4 -UICEC(I-1,J+1,bi,bj))/CSUICE(I,J+1,bi,bj) |
376 |
|
|
4 -(UICEC(I+1,J-1,bi,bj)-UICEC(I-1,J-1,bi,bj)) |
377 |
dimitri |
1.6 |
4 /CSUICE(I,J-1,bi,bj))*DELXY(I,J,bi,bj)) |
378 |
heimbach |
1.2 |
4 |
379 |
dimitri |
1.6 |
5 +HALF*(ETA(I,J,bi,bj)*(UICEC(I+1,J+1,bi,bj) |
380 |
heimbach |
1.2 |
5 +UICEC(I,J+1,bi,bj) |
381 |
dimitri |
1.6 |
5 -UICEC(I+1,J,bi,bj)-UICEC(I,J,bi,bj))+ETA(I,J-1,bi,bj) |
382 |
heimbach |
1.2 |
5 *(UICEC(I+1,J,bi,bj) |
383 |
|
|
5 +UICEC(I,J,bi,bj)-UICEC(I+1,J-1,bi,bj) |
384 |
dimitri |
1.6 |
5 -UICEC(I,J-1,bi,bj))+ETA(I-1,J,bi,bj) |
385 |
heimbach |
1.2 |
5 *(UICEC(I,J,bi,bj)+UICEC(I-1,J,bi,bj)-UICEC(I,J+1,bi,bj) |
386 |
|
|
5 -UICEC(I-1,J+1,bi,bj)) |
387 |
dimitri |
1.6 |
5 +ETA(I-1,J-1,bi,bj)*(UICEC(I,J-1,bi,bj) |
388 |
|
|
5 +UICEC(I-1,J-1,bi,bj) |
389 |
heimbach |
1.2 |
5 -UICEC(I,J,bi,bj) |
390 |
dimitri |
1.6 |
5 -UICEC(I-1,J,bi,bj)))*DELXY(I,J,bi,bj)/CSUICE(I,J,bi,bj) |
391 |
heimbach |
1.2 |
5 |
392 |
dimitri |
1.6 |
6 +(ETA(I,J,bi,bj)+ETA(I,J-1,bi,bj)-ETA(I-1,J-1,bi,bj) |
393 |
|
|
6 -ETA(I-1,J,bi,bj)) |
394 |
heimbach |
1.2 |
6 *TNGICE(I,J,bi,bj)*UICEC(I,J,bi,bj) |
395 |
dimitri |
1.6 |
6 *DELXR(I,J,bi,bj)/CSUICE(I,J,bi,bj) |
396 |
|
|
6 +ETAMEAN(I,J,bi,bj)*TNGICE(I,J,bi,bj)*(UICEC(I+1,J,bi,bj) |
397 |
|
|
6 -UICEC(I-1,J,bi,bj))*DELXR(I,J,bi,bj)/CSUICE(I,J,bi,bj) |
398 |
heimbach |
1.2 |
6 |
399 |
dimitri |
1.6 |
7 +ETAMEAN(I,J,bi,bj)*TWO*TNGICE(I,J,bi,bj) |
400 |
|
|
7 *(UICEC(I+1,J,bi,bj) |
401 |
|
|
7 -UICEC(I-1,J,bi,bj))*DELXR(I,J,bi,bj)/CSUICE(I,J,bi,bj) |
402 |
|
|
UVRT1(I,J,bi,bj)=(ETA(I-1,J-1,bi,bj)/CSUICE(I,J,bi,bj) |
403 |
|
|
& +ETA(I-1,J,bi,bj)/CSUICE(I,J,bi,bj)) |
404 |
|
|
& *DELX2(I,J,bi,bj)/CSUICE(I,J,bi,bj) |
405 |
|
|
UVRT2(I,J,bi,bj)=(ETA(I,J-1,bi,bj)/CSUICE(I,J,bi,bj) |
406 |
|
|
& +ETA(I,J,bi,bj)/CSUICE(I,J,bi,bj)) |
407 |
|
|
& *DELX2(I,J,bi,bj)/CSUICE(I,J,bi,bj) |
408 |
heimbach |
1.2 |
|
409 |
|
|
END DO |
410 |
|
|
END DO |
411 |
|
|
|
412 |
|
|
ENDDO |
413 |
|
|
ENDDO |
414 |
|
|
|
415 |
|
|
C NOW DO ITERATION |
416 |
|
|
300 CONTINUE |
417 |
dimitri |
1.6 |
|
418 |
|
|
DO 9000 M=1, solv_max_iters |
419 |
heimbach |
1.2 |
C NOW SET U(3)=U(1) |
420 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
421 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
422 |
|
|
|
423 |
|
|
DO J=1,sNy |
424 |
|
|
DO I=1,sNx |
425 |
|
|
VICE(I,J,3,bi,bj)=VICE(I,J,1,bi,bj) |
426 |
|
|
END DO |
427 |
|
|
END DO |
428 |
|
|
|
429 |
|
|
DO 1300 I=1,sNx |
430 |
|
|
DO J=1,sNy |
431 |
dimitri |
1.6 |
IF(J.EQ.1) THEN |
432 |
|
|
AA2=ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj) |
433 |
|
|
& +ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj) |
434 |
|
|
AA3=(AA2*DELY2(I,J,bi,bj) |
435 |
|
|
& +(ZETAMEAN(I,J,bi,bj)-ETAMEAN(I,J,bi,bj)) |
436 |
|
|
& *TNGICE(I,J-1,bi,bj)*DELYR(I,J,bi,bj) |
437 |
|
|
& +ETAMEAN(I,J,bi,bj)*TWO*TNGICE(I,J,bi,bj) |
438 |
|
|
& *DELYR(I,J,bi,bj)) |
439 |
|
|
& *VICE(I,J-1,1,bi,bj)*UVM(I,J,bi,bj) |
440 |
|
|
ELSE IF(J.EQ.sNy) THEN |
441 |
|
|
AA1=ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
442 |
|
|
& +ZETA(I,J,bi,bj) |
443 |
|
|
AA3=(AA1*DELY2(I,J,bi,bj) |
444 |
|
|
& -(ZETAMEAN(I,J,bi,bj)-ETAMEAN(I,J,bi,bj)) |
445 |
|
|
& *TNGICE(I,J+1,bi,bj)*DELYR(I,J,bi,bj) |
446 |
|
|
& -ETAMEAN(I,J,bi,bj)*TWO*TNGICE(I,J,bi,bj) |
447 |
|
|
& *DELYR(I,J,bi,bj)) |
448 |
|
|
& *VICE(I,J+1,1,bi,bj)*UVM(I,J,bi,bj) |
449 |
|
|
ELSE |
450 |
|
|
AA3=ZERO |
451 |
|
|
END IF |
452 |
|
|
|
453 |
|
|
VRT(J)=FXY(I,J,bi,bj)+AA3+UVRT1(I,J,bi,bj)*VICE(I-1,J,1,bi,bj) |
454 |
|
|
& +UVRT2(I,J,bi,bj)*VICE(I+1,J,1,bi,bj) |
455 |
heimbach |
1.2 |
VRT(J)=VRT(J)*UVM(I,J,bi,bj) |
456 |
|
|
END DO |
457 |
|
|
|
458 |
|
|
DO J=1,sNy |
459 |
dimitri |
1.6 |
CVV(J)=CV(I,J,bi,bj) |
460 |
heimbach |
1.2 |
END DO |
461 |
dimitri |
1.6 |
VRT(1)=VRT(1)/BV(I,1,bi,bj) |
462 |
heimbach |
1.2 |
DO J=2,sNy |
463 |
|
|
JM=J-1 |
464 |
dimitri |
1.6 |
CVV(J)=CVV(J)/(BV(I,J,bi,bj)-AV(I,J,bi,bj)*CVV(JM)) |
465 |
|
|
VRT(J)=(VRT(J)-AV(I,J,bi,bj)*VRT(JM)) |
466 |
|
|
& /(BV(I,J,bi,bj)-AV(I,J,bi,bj)*CVV(JM)) |
467 |
heimbach |
1.2 |
END DO |
468 |
|
|
DO J=1,sNy-1 |
469 |
|
|
J1=sNy-J |
470 |
|
|
J2=J1+1 |
471 |
|
|
VRT(J1)=VRT(J1)-CVV(J1)*VRT(J2) |
472 |
|
|
END DO |
473 |
|
|
DO J=1,sNy |
474 |
|
|
VICE(I,J,1,bi,bj)=VICE(I,J,3,bi,bj) |
475 |
|
|
& +WFAV*(VRT(J)-VICE(I,J,3,bi,bj)) |
476 |
|
|
END DO |
477 |
|
|
1300 CONTINUE |
478 |
|
|
|
479 |
|
|
ENDDO |
480 |
|
|
ENDDO |
481 |
|
|
|
482 |
dimitri |
1.6 |
IF(MOD(M,SOLV_NCHECK).EQ.0) THEN |
483 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
484 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
485 |
|
|
S2=ZERO |
486 |
|
|
DO J=1,sNy |
487 |
|
|
DO I=1,sNx |
488 |
|
|
UERR(I,J,bi,bj)=(VICE(I,J,1,bi,bj)-VICE(I,J,3,bi,bj)) |
489 |
heimbach |
1.2 |
& *UVM(I,J,bi,bj) |
490 |
dimitri |
1.6 |
S2=MAX(ABS(UERR(I,J,bi,bj)),S2) |
491 |
|
|
END DO |
492 |
heimbach |
1.2 |
END DO |
493 |
dimitri |
1.6 |
_GLOBAL_MAX_R8( S2, myThid ) |
494 |
|
|
ENDDO |
495 |
heimbach |
1.2 |
ENDDO |
496 |
dimitri |
1.6 |
C SAFEGUARD AGAINST BAD FORCING ETC |
497 |
|
|
IF(M.GT.1.AND.S2.GT.S2A) WFAV=WFAV2 |
498 |
|
|
S2A=S2 |
499 |
|
|
IF(S2.LT.LSR_ERROR) THEN |
500 |
|
|
ICOUNT2=M |
501 |
|
|
GO TO 9001 |
502 |
|
|
END IF |
503 |
|
|
END IF |
504 |
|
|
|
505 |
|
|
CALL SEAICE_EXCH ( VICE, myThid ) |
506 |
|
|
|
507 |
|
|
9000 CONTINUE |
508 |
|
|
9001 CONTINUE |
509 |
|
|
write(*,'(A,I6,1P2E22.14)')' V lsr iters, error = ',ICOUNT2,S2 |
510 |
heimbach |
1.2 |
|
511 |
|
|
C NOW END |
512 |
|
|
C NOW MAKE COROLIS TERM IMPLICIT |
513 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
514 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
515 |
|
|
DO J=1,sNy |
516 |
|
|
DO I=1,sNx |
517 |
|
|
UICE(I,J,1,bi,bj)=UICE(I,J,1,bi,bj)*UVM(I,J,bi,bj) |
518 |
|
|
VICE(I,J,1,bi,bj)=VICE(I,J,1,bi,bj)*UVM(I,J,bi,bj) |
519 |
|
|
END DO |
520 |
|
|
END DO |
521 |
|
|
ENDDO |
522 |
|
|
ENDDO |
523 |
dimitri |
1.6 |
CALL SEAICE_EXCH ( UICE, myThid ) |
524 |
|
|
CALL SEAICE_EXCH ( VICE, myThid ) |
525 |
heimbach |
1.2 |
|
526 |
dimitri |
1.5 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
527 |
|
|
#endif /* ALLOW_SEAICE */ |
528 |
heimbach |
1.2 |
|
529 |
|
|
RETURN |
530 |
|
|
END |