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C $Header: /usr/local/gcmpack/MITgcm/pkg/seaice/adi.F,v 1.9 2003/12/14 04:56:18 dimitri 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 adi( myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE adi | |
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C | o Solve ice momentum equation with an ADI dynamics solver| |
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C | (see Zhang and Rothrock, JGR, 105, 3325-3338, 2000) | |
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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 \==========================================================/ |
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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 "SEAICE.h" |
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#include "SEAICE_PARAMS.h" |
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#include "SEAICE_GRID.h" |
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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 myThid |
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CEndOfInterface |
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|
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#ifdef ALLOW_SEAICE |
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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, bi, bj, j1, j2, im, jm |
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_RL AA1, AA2, AA3, AA4, AA5, AA6, AA9, RADIUS, RADIUS2 |
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|
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_RL AU (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL BU (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL CU (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL AV (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL BV (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL CV (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL DELXY (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL DELXR (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL DELYR (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL DELX2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL DELY2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL ETAMEAN (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL ZETAMEAN(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL FXY (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL FXY1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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_RL URT(1-OLx:sNx+OLx), VRT(1-OLy:sNy+OLy) |
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_RL CUU(1-OLx:sNx+OLx), CVV(1-OLy:sNy+OLy) |
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|
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C SET SOME VALUES |
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RADIUS=6370. _d 3 |
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RADIUS2=ONE/(RADIUS*RADIUS) |
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|
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C SOLVE FOR UICE |
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C FIRST HALF FIRST |
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|
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c DO bj=myByLo(myThid),myByHi(myThid) |
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c DO bi=myBxLo(myThid),myBxHi(myThid) |
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c DO j=1,sNy |
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c DO i=1,sNx |
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c FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj)*UVM(I,J,bi,bj) |
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c FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj)*UVM(I,J,bi,bj) |
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c ENDDO |
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c ENDDO |
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c ENDDO |
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c ENDDO |
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|
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C-- Update overlap regions |
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CALL EXCH_UV_XY_RL(FORCEX,FORCEY,.TRUE.,myThid) |
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_EXCH_XY_R8(DRAGS, myThid) |
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_EXCH_XY_R8(DRAGA, myThid) |
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_EXCH_XY_R8(AMASS, myThid) |
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|
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c$taf loop = parallel |
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DO bj=myByLo(myThid),myByHi(myThid) |
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c$taf loop = parallel |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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|
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DO J=1-OLy+1,sNy+OLy-1 |
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DO I=1-OLx+1,sNx+OLx-1 |
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DELXY(I,J)=HALF/(DXUICE(I,J,bi,bj)*DYUICE(I,J,bi,bj)) |
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DELXR(I,J)=HALF/(DXUICE(I,J,bi,bj)*RADIUS) |
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DELX2(I,J)=HALF/(DXUICE(I,J,bi,bj)*DXUICE(I,J,bi,bj)) |
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ETAMEAN(I,J)=QUART*(ETA(I,J-1,bi,bj)+ETA(I-1,J-1,bi,bj) |
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& +ETA(I,J,bi,bj)+ETA(I-1,J,bi,bj)) |
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ZETAMEAN(I,J)=QUART*(ZETA(I,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj) |
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& +ZETA(I,J,bi,bj)+ZETA(I-1,J,bi,bj)) |
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|
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FXY(I,J)=DRAGA(I,J,bi,bj)*VICEC(I,J,bi,bj)+FORCEX(I,J,bi,bj) |
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3 +HALF*(ZETA(I,J,bi,bj)*(VICEC(I+1,J+1,bi,bj) |
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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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3 +ZETA(I,J-1,bi,bj)*(VICEC(I+1,J,bi,bj) |
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3 +VICEC(I,J,bi,bj)-VICEC(I+1,J-1,bi,bj) |
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3 -VICEC(I,J-1,bi,bj))+ZETA(I-1,J,bi,bj) |
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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)) |
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3 +ZETA(I-1,J-1,bi,bj)*(VICEC(I,J-1,bi,bj) |
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3 +VICEC(I-1,J-1,bi,bj)-VICEC(I,J,bi,bj) |
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3 -VICEC(I-1,J,bi,bj)))*DELXY(I,J)/CSUICE(I,J,bi,bj) |
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3 |
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4 -HALF*(ETA(I,J,bi,bj)*(VICEC(I+1,J+1,bi,bj) |
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4 +VICEC(I,J+1,bi,bj) |
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4 -VICEC(I+1,J,bi,bj)-VICEC(I,J,bi,bj)) |
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4 +ETA(I,J-1,bi,bj)*(VICEC(I+1,J,bi,bj) |
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4 +VICEC(I,J,bi,bj)-VICEC(I+1,J-1,bi,bj) |
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4 -VICEC(I,J-1,bi,bj))+ETA(I-1,J,bi,bj) |
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4 *(VICEC(I,J,bi,bj)+VICEC(I-1,J,bi,bj) |
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4 -VICEC(I,J+1,bi,bj)-VICEC(I-1,J+1,bi,bj)) |
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4 +ETA(I-1,J-1,bi,bj)*(VICEC(I,J-1,bi,bj) |
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4 +VICEC(I-1,J-1,bi,bj)-VICEC(I,J,bi,bj) |
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4 -VICEC(I-1,J,bi,bj)))*DELXY(I,J)/CSUICE(I,J,bi,bj) |
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4 |
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5 +HALF*(VICEC(I+1,J,bi,bj)-VICEC(I-1,J,bi,bj)) |
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5 *(ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
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5 -ETA(I-1,J-1,bi,bj)-ETA(I,J-1,bi,bj))*DELXY(I,J) |
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5 /CSUICE(I,J,bi,bj)+HALF*ETAMEAN(I,J) |
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5 *((VICEC(I+1,J+1,bi,bj) |
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5 -VICEC(I-1,J+1,bi,bj))/CSUICE(I,J+1,bi,bj) |
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5 -(VICEC(I+1,J-1,bi,bj)-VICEC(I-1,J-1,bi,bj)) |
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5 /CSUICE(I,J-1,bi,bj))*DELXY(I,J) |
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5 |
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6 -((ZETA(I,J,bi,bj)+ZETA(I,J-1,bi,bj) |
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6 -ZETA(I-1,J-1,bi,bj)-ZETA(I-1,J,bi,bj)) |
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6 +(ETA(I,J,bi,bj)+ETA(I,J-1,bi,bj) |
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6 -ETA(I-1,J-1,bi,bj)-ETA(I-1,J,bi,bj))) |
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6 *TNGICE(I,J,bi,bj)*VICEC(I,J,bi,bj) |
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& *DELXR(I,J)/CSUICE(I,J,bi,bj) |
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6 -(ETAMEAN(I,J)+ZETAMEAN(I,J))*TNGICE(I,J,bi,bj) |
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6 *(VICEC(I+1,J,bi,bj)-VICEC(I-1,J,bi,bj)) |
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6 *DELXR(I,J)/CSUICE(I,J,bi,bj) |
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6 |
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7 -ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj) |
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7 *(VICEC(I+1,J,bi,bj) |
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7 -VICEC(I-1,J,bi,bj))*DELXR(I,J)/CSUICE(I,J,bi,bj) |
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END DO |
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END DO |
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|
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DO J=1-OLy+1,sNy+OLy-1 |
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DO I=1-OLx+1,sNx+OLx-1 |
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DELY2(I,J)=HALF/(DYUICE(I,J,bi,bj)*DYUICE(I,J,bi,bj)) |
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DELYR(I,J)=HALF/(DYUICE(I,J,bi,bj)*RADIUS) |
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AA1=((ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj))/CSUICE(I,J,bi,bj) |
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& +(ETA(I,J,bi,bj)+ZETA(I,J,bi,bj)) |
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& /CSUICE(I,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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& /CSUICE(I,J,bi,bj) |
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& +(ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj)) |
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& /CSUICE(I,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)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
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AU(I,J)=-AA2*DELX2(I,J)*UVM(I,J,bi,bj) |
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BU(I,J)=((AA1+AA2)*DELX2(I,J)+AA6*RADIUS2 |
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& +AMASS(I,J,bi,bj)/SEAICE_DT*TWO |
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& +DRAGS(I,J,bi,bj))*UVM(I,J,bi,bj) |
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& +(ONE-UVM(I,J,bi,bj)) |
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CU(I,J)=-AA1*DELX2(I,J)*UVM(I,J,bi,bj) |
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END DO |
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END DO |
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|
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DO J=1-OLy+1,sNy+OLy-1 |
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AU(1-OLx+1,J)=ZERO |
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CU(sNx+OLx-1,J)=ZERO |
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CU(1-OLx+1,J)=CU(1-OLx+1,J)/BU(1-OLx+1,J) |
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END DO |
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|
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c$taf loop = parallel |
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DO 1200 J=1-OLy+1,sNy+OLy-1 |
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DO I=1-OLx+1,sNx+OLx-1 |
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|
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AA1=((ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj))/CSUICE(I,J,bi,bj) |
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& +(ETA(I,J,bi,bj)+ZETA(I,J,bi,bj)) |
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& /CSUICE(I,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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& /CSUICE(I,J,bi,bj) |
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& +(ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj)) |
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& /CSUICE(I,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)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
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|
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IF(I.EQ.1-OLx+1) THEN |
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AA9=AA2*DELX2(I,J)*UICEC(I-1,J,bi,bj)*UVM(I,J,bi,bj) |
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ELSE IF(I.EQ.sNx+OLx-1) THEN |
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AA9=AA1*DELX2(I,J)*UICEC(I+1,J,bi,bj)*UVM(I,J,bi,bj) |
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ELSE |
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AA9=ZERO |
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END IF |
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|
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URT(I)=AA9+FXY(I,J)-AA5*DELYR(I,J)*UICE(I,J,2,bi,bj) |
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1 -(AA3+AA4)*DELY2(I,J)*UICE(I,J,2,bi,bj) |
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1 +(ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj)) |
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1 *UICE(I,J+1,2,bi,bj)*DELY2(I,J) |
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2 +(ETA(I-1,J-1,bi,bj)+ETA(I,J-1,bi,bj)) |
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2 *UICE(I,J-1,2,bi,bj)*DELY2(I,J) |
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3 +ETAMEAN(I,J)*DELYR(I,J)*(UICE(I,J+1,2,bi,bj) |
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3 *TNGICE(I,J+1,bi,bj) |
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3 -UICE(I,J-1,2,bi,bj)*TNGICE(I,J-1,bi,bj)) |
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4 -ETAMEAN(I,J)*DELYR(I,J)*TWO*TNGICE(I,J,bi,bj) |
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4 *(UICE(I,J+1,2,bi,bj) |
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4 -UICE(I,J-1,2,bi,bj)) |
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URT(I)=(URT(I)+AMASS(I,J,bi,bj)/SEAICE_DT |
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& *UICE(I,J,2,bi,bj)*TWO)*UVM(I,J,bi,bj) |
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END DO |
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|
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DO I=1-OLx+1,sNx+OLx-1 |
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CUU(I)=CU(I,J) |
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END DO |
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URT(1-OLx+1)=URT(1-OLx+1)/BU(1-OLx+1,J) |
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DO I=1-OLx+2,sNx+OLx-1 |
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IM=I-1 |
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CUU(I)=CUU(I)/(BU(I,J)-AU(I,J)*CUU(IM)) |
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URT(I)=(URT(I)-AU(I,J)*URT(IM))/(BU(I,J)-AU(I,J)*CUU(IM)) |
| 228 |
END DO |
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DO I=1-OLx+1,sNx+OLx-1-1 |
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J1=sNx+OLx-1-I |
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J2=J1+1 |
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URT(J1)=URT(J1)-CUU(J1)*URT(J2) |
| 233 |
END DO |
| 234 |
DO I=1-OLx+1,sNx+OLx-1 |
| 235 |
UICE(I,J,1,bi,bj)=URT(I) |
| 236 |
END DO |
| 237 |
1200 CONTINUE |
| 238 |
|
| 239 |
c DO J=1,sNy |
| 240 |
c DO I=1,sNx |
| 241 |
c UICE(I,J,3,bi,bj)=UICE(I,J,1,bi,bj) |
| 242 |
c END DO |
| 243 |
c END DO |
| 244 |
|
| 245 |
ENDDO |
| 246 |
ENDDO |
| 247 |
|
| 248 |
CALL SEAICE_EXCH( UICE, myThid ) |
| 249 |
|
| 250 |
C NOW SECOND HALF |
| 251 |
|
| 252 |
c$taf loop = parallel |
| 253 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 254 |
c$taf loop = parallel |
| 255 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 256 |
|
| 257 |
DO I=1-OLx+1,sNx+OLx-1 |
| 258 |
DO J=1-OLy+1,sNy+OLy-1 |
| 259 |
|
| 260 |
AA1=ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
| 261 |
AA2=ETA(I-1,J-1,bi,bj)+ETA(I,J-1,bi,bj) |
| 262 |
AA5=-(ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
| 263 |
& -ETA(I-1,J-1,bi,bj)-ETA(I,J-1,bi,bj))*TNGICE(I,J,bi,bj) |
| 264 |
AA6=TWO*ETAMEAN(I,J)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
| 265 |
|
| 266 |
AV(I,J)=(-AA2*DELY2(I,J)+ETAMEAN(I,J)*DELYR(I,J) |
| 267 |
& *(TNGICE(I,J-1,bi,bj) |
| 268 |
& -TWO*TNGICE(I,J,bi,bj)))*UVM(I,J,bi,bj) |
| 269 |
BV(I,J)=((AA1+AA2)*DELY2(I,J)+AA5*DELYR(I,J)+AA6*RADIUS2 |
| 270 |
& +AMASS(I,J,bi,bj)/SEAICE_DT*TWO |
| 271 |
& +DRAGS(I,J,bi,bj))*UVM(I,J,bi,bj) |
| 272 |
& +(ONE-UVM(I,J,bi,bj)) |
| 273 |
CV(I,J)=(-AA1*DELY2(I,J)-ETAMEAN(I,J)*DELYR(I,J) |
| 274 |
& *(TNGICE(I,J+1,bi,bj) |
| 275 |
& -TWO*TNGICE(I,J,bi,bj)))*UVM(I,J,bi,bj) |
| 276 |
END DO |
| 277 |
END DO |
| 278 |
|
| 279 |
DO I=1-OLx+1,sNx+OLx-1 |
| 280 |
AV(I,1-OLy+1)=ZERO |
| 281 |
CV(I,sNy+OLy-1)=ZERO |
| 282 |
CV(I,1-OLy+1)=CV(I,1-OLy+1)/BV(I,1-OLy+1) |
| 283 |
END DO |
| 284 |
|
| 285 |
DO I=1-OLx+1,sNx+OLx-1 |
| 286 |
DO J=1-OLy+1,sNy+OLy-1 |
| 287 |
|
| 288 |
AA1=((ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj))/CSUICE(I,J,bi,bj) |
| 289 |
& +(ETA(I,J,bi,bj)+ZETA(I,J,bi,bj)) |
| 290 |
& /CSUICE(I,J,bi,bj))/CSUICE(I,J,bi,bj) |
| 291 |
AA2=((ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj)) |
| 292 |
& /CSUICE(I,J,bi,bj) |
| 293 |
& +(ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj)) |
| 294 |
& /CSUICE(I,J,bi,bj))/CSUICE(I,J,bi,bj) |
| 295 |
|
| 296 |
AA3=ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
| 297 |
AA4=ETA(I-1,J-1,bi,bj)+ETA(I,J-1,bi,bj) |
| 298 |
|
| 299 |
IF(J.EQ.1-OLy+1) THEN |
| 300 |
AA9=( AA4*DELY2(I,J)*UICEC(I,J-1,bi,bj) |
| 301 |
& -ETAMEAN(I,J)*DELYR(I,J)*(TNGICE(I,J-1,bi,bj) |
| 302 |
& -TWO*TNGICE(I,J,bi,bj)) |
| 303 |
& *UICEC(I,J-1,bi,bj) )*UVM(I,J,bi,bj) |
| 304 |
ELSE IF(J.EQ.sNy+OLy-1) THEN |
| 305 |
AA9=( AA3*DELY2(I,J)*UICEC(I,J+1,bi,bj) |
| 306 |
& +ETAMEAN(I,J)*DELYR(I,J)*(TNGICE(I,J+1,bi,bj) |
| 307 |
& -TWO*TNGICE(I,J,bi,bj)) |
| 308 |
& *UICEC(I,J+1,bi,bj) )*UVM(I,J,bi,bj) |
| 309 |
ELSE |
| 310 |
AA9=ZERO |
| 311 |
END IF |
| 312 |
|
| 313 |
FXY1(I,J)=AA9+AMASS(I,J,bi,bj)/SEAICE_DT*UICE(I,J,1,bi,bj)*TWO |
| 314 |
5 -(AA1+AA2)*DELX2(I,J)*UICE(I,J,1,bi,bj) |
| 315 |
6 +((ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj) |
| 316 |
6 +ETA(I,J,bi,bj)+ZETA(I,J,bi,bj)) |
| 317 |
6 *UICE(I+1,J,1,bi,bj) |
| 318 |
6 +(ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj) |
| 319 |
6 +ETA(I-1,J,bi,bj) |
| 320 |
6 +ZETA(I-1,J,bi,bj))*UICE(I-1,J,1,bi,bj)) |
| 321 |
6 *DELX2(I,J)/CSUICE(I,J,bi,bj)/CSUICE(I,J,bi,bj) |
| 322 |
|
| 323 |
END DO |
| 324 |
END DO |
| 325 |
|
| 326 |
DO 1300 I=1-OLx+1,sNx+OLx-1 |
| 327 |
DO J=1-OLy+1,sNy+OLy-1 |
| 328 |
VRT(J)=FXY(I,J)+FXY1(I,J) |
| 329 |
VRT(J)=VRT(J)*UVM(I,J,bi,bj) |
| 330 |
END DO |
| 331 |
|
| 332 |
DO J=1-OLy+1,sNy+OLy-1 |
| 333 |
CVV(J)=CV(I,J) |
| 334 |
END DO |
| 335 |
VRT(1-OLy+1)=VRT(1-OLy+1)/BV(I,1-OLy+1) |
| 336 |
DO J=1-OLy+2,sNy+OLy-1 |
| 337 |
JM=J-1 |
| 338 |
CVV(J)=CVV(J)/(BV(I,J)-AV(I,J)*CVV(JM)) |
| 339 |
VRT(J)=(VRT(J)-AV(I,J)*VRT(JM))/(BV(I,J)-AV(I,J)*CVV(JM)) |
| 340 |
END DO |
| 341 |
DO J=1-OLy+1,sNy+OLy-1-1 |
| 342 |
J1=sNy+OLy-1-J |
| 343 |
J2=J1+1 |
| 344 |
VRT(J1)=VRT(J1)-CVV(J1)*VRT(J2) |
| 345 |
END DO |
| 346 |
DO J=1-OLy+1,sNy+OLy-1 |
| 347 |
UICE(I,J,1,bi,bj)=VRT(J) |
| 348 |
END DO |
| 349 |
1300 CONTINUE |
| 350 |
|
| 351 |
ENDDO |
| 352 |
ENDDO |
| 353 |
|
| 354 |
C SOLVE FOR VICE |
| 355 |
C FIRST HALF FIRST |
| 356 |
|
| 357 |
c$taf loop = parallel |
| 358 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 359 |
c$taf loop = parallel |
| 360 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 361 |
|
| 362 |
DO I=1-OLx+1,sNx+OLx-1 |
| 363 |
DO J=1-OLy+1,sNy+OLy-1 |
| 364 |
|
| 365 |
FXY(I,J)=-DRAGA(I,J,bi,bj)*UICEC(I,J,bi,bj)+FORCEY(I,J,bi,bj) |
| 366 |
3 +(HALF*(UICEC(I+1,J,bi,bj)-UICEC(I-1,J,bi,bj)) |
| 367 |
3 *(ZETA(I-1,J,bi,bj)+ZETA(I,J,bi,bj) |
| 368 |
3 -ZETA(I-1,J-1,bi,bj)-ZETA(I,J-1,bi,bj))*DELXY(I,J) |
| 369 |
3 /CSUICE(I,J,bi,bj)+HALF*ZETAMEAN(I,J) |
| 370 |
3 *((UICEC(I+1,J+1,bi,bj) |
| 371 |
3 -UICEC(I-1,J+1,bi,bj))/CSUICE(I,J+1,bi,bj) |
| 372 |
3 -(UICEC(I+1,J-1,bi,bj)-UICEC(I-1,J-1,bi,bj)) |
| 373 |
3 /CSUICE(I,J-1,bi,bj))*DELXY(I,J)) |
| 374 |
3 |
| 375 |
4 -(HALF*(UICEC(I+1,J,bi,bj)-UICEC(I-1,J,bi,bj)) |
| 376 |
4 *(ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
| 377 |
4 -ETA(I-1,J-1,bi,bj)-ETA(I,J-1,bi,bj))*DELXY(I,J) |
| 378 |
4 /CSUICE(I,J,bi,bj)+HALF*ETAMEAN(I,J) |
| 379 |
4 *((UICEC(I+1,J+1,bi,bj) |
| 380 |
4 -UICEC(I-1,J+1,bi,bj))/CSUICE(I,J+1,bi,bj) |
| 381 |
4 -(UICEC(I+1,J-1,bi,bj)-UICEC(I-1,J-1,bi,bj)) |
| 382 |
4 /CSUICE(I,J-1,bi,bj))*DELXY(I,J)) |
| 383 |
4 |
| 384 |
5 +HALF*(ETA(I,J,bi,bj)*(UICEC(I+1,J+1,bi,bj) |
| 385 |
5 +UICEC(I,J+1,bi,bj) |
| 386 |
5 -UICEC(I+1,J,bi,bj)-UICEC(I,J,bi,bj))+ETA(I,J-1,bi,bj) |
| 387 |
5 *(UICEC(I+1,J,bi,bj) |
| 388 |
5 +UICEC(I,J,bi,bj)-UICEC(I+1,J-1,bi,bj)-UICEC(I,J-1,bi,bj)) |
| 389 |
5 +ETA(I-1,J,bi,bj) |
| 390 |
5 *(UICEC(I,J,bi,bj)+UICEC(I-1,J,bi,bj)-UICEC(I,J+1,bi,bj) |
| 391 |
5 -UICEC(I-1,J+1,bi,bj)) |
| 392 |
5 +ETA(I-1,J-1,bi,bj)*(UICEC(I,J-1,bi,bj) |
| 393 |
5 +UICEC(I-1,J-1,bi,bj) |
| 394 |
5 -UICEC(I,J,bi,bj) |
| 395 |
5 -UICEC(I-1,J,bi,bj)))*DELXY(I,J)/CSUICE(I,J,bi,bj) |
| 396 |
5 |
| 397 |
6 +(ETA(I,J,bi,bj)+ETA(I,J-1,bi,bj) |
| 398 |
6 -ETA(I-1,J-1,bi,bj)-ETA(I-1,J,bi,bj)) |
| 399 |
6 *TNGICE(I,J,bi,bj)*UICEC(I,J,bi,bj) |
| 400 |
6 *DELXR(I,J)/CSUICE(I,J,bi,bj) |
| 401 |
6 +ETAMEAN(I,J)*TNGICE(I,J,bi,bj)*(UICEC(I+1,J,bi,bj) |
| 402 |
6 -UICEC(I-1,J,bi,bj))*DELXR(I,J)/CSUICE(I,J,bi,bj) |
| 403 |
6 |
| 404 |
7 +ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj)*(UICEC(I+1,J,bi,bj) |
| 405 |
7 -UICEC(I-1,J,bi,bj))*DELXR(I,J)/CSUICE(I,J,bi,bj) |
| 406 |
|
| 407 |
END DO |
| 408 |
END DO |
| 409 |
|
| 410 |
DO I=1-OLx+1,sNx+OLx-1 |
| 411 |
DO J=1-OLy+1,sNy+OLy-1 |
| 412 |
AA1=ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj) |
| 413 |
& +ETA(I,J,bi,bj)+ZETA(I,J,bi,bj) |
| 414 |
AA2=ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj) |
| 415 |
& +ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj) |
| 416 |
AA3=(ETA(I,J-1,bi,bj)/CSUICE(I,J,bi,bj)+ETA(I,J,bi,bj) |
| 417 |
& /CSUICE(I,J,bi,bj))/CSUICE(I,J,bi,bj) |
| 418 |
AA4=(ETA(I-1,J-1,bi,bj)/CSUICE(I,J,bi,bj)+ETA(I-1,J,bi,bj) |
| 419 |
& /CSUICE(I,J,bi,bj))/CSUICE(I,J,bi,bj) |
| 420 |
AA5=((ZETA(I-1,J,bi,bj)-ETA(I-1,J,bi,bj)) |
| 421 |
& +(ZETA(I,J,bi,bj)-ETA(I,J,bi,bj)) |
| 422 |
& -(ZETA(I-1,J-1,bi,bj)-ETA(I-1,J-1,bi,bj)) |
| 423 |
& -(ZETA(I,J-1,bi,bj) |
| 424 |
& -ETA(I,J-1,bi,bj)))*TNGICE(I,J,bi,bj) |
| 425 |
AA6=TWO*ETAMEAN(I,J)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
| 426 |
|
| 427 |
AV(I,J)=(-AA2*DELY2(I,J)-(ZETAMEAN(I,J)-ETAMEAN(I,J)) |
| 428 |
& *TNGICE(I,J-1,bi,bj) |
| 429 |
& *DELYR(I,J)-ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj) |
| 430 |
& *DELYR(I,J))*UVM(I,J,bi,bj) |
| 431 |
BV(I,J)=((AA1+AA2)*DELY2(I,J)+AA5*DELYR(I,J)+AA6*RADIUS2 |
| 432 |
& +AMASS(I,J,bi,bj)/SEAICE_DT*TWO |
| 433 |
& +DRAGS(I,J,bi,bj))*UVM(I,J,bi,bj) |
| 434 |
& +(ONE-UVM(I,J,bi,bj)) |
| 435 |
CV(I,J)=(-AA1*DELY2(I,J)+(ZETAMEAN(I,J)-ETAMEAN(I,J)) |
| 436 |
& *TNGICE(I,J+1,bi,bj) |
| 437 |
& *DELYR(I,J)+ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj) |
| 438 |
& *DELYR(I,J))*UVM(I,J,bi,bj) |
| 439 |
END DO |
| 440 |
END DO |
| 441 |
DO I=1-OLx+1,sNx+OLx-1 |
| 442 |
AV(I,1-OLy+1)=ZERO |
| 443 |
CV(I,sNy+OLy-1)=ZERO |
| 444 |
CV(I,1-OLy+1)=CV(I,1-OLy+1)/BV(I,1-OLy+1) |
| 445 |
END DO |
| 446 |
|
| 447 |
c$taf loop = parallel |
| 448 |
DO 1301 I=1-OLx+1,sNx+OLx-1 |
| 449 |
DO J=1-OLy+1,sNy+OLy-1 |
| 450 |
|
| 451 |
AA1=ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj) |
| 452 |
& +ETA(I,J,bi,bj)+ZETA(I,J,bi,bj) |
| 453 |
AA2=ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj) |
| 454 |
& +ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj) |
| 455 |
AA3=(ETA(I,J-1,bi,bj)/CSUICE(I,J,bi,bj)+ETA(I,J,bi,bj) |
| 456 |
& /CSUICE(I,J,bi,bj))/CSUICE(I,J,bi,bj) |
| 457 |
AA4=(ETA(I-1,J-1,bi,bj)/CSUICE(I,J,bi,bj)+ETA(I-1,J,bi,bj) |
| 458 |
& /CSUICE(I,J,bi,bj))/CSUICE(I,J,bi,bj) |
| 459 |
AA5=((ZETA(I-1,J,bi,bj)-ETA(I-1,J,bi,bj)) |
| 460 |
& +(ZETA(I,J,bi,bj)-ETA(I,J,bi,bj)) |
| 461 |
& -(ZETA(I-1,J-1,bi,bj)-ETA(I-1,J-1,bi,bj)) |
| 462 |
& -(ZETA(I,J-1,bi,bj)-ETA(I,J-1,bi,bj)))*TNGICE(I,J,bi,bj) |
| 463 |
AA6=TWO*ETAMEAN(I,J)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
| 464 |
|
| 465 |
IF(J.EQ.1-OLy+1) THEN |
| 466 |
AA9=(AA2*DELY2(I,J)+(ZETAMEAN(I,J)-ETAMEAN(I,J)) |
| 467 |
& *TNGICE(I,J-1,bi,bj)*DELYR(I,J) |
| 468 |
& +ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj)*DELYR(I,J)) |
| 469 |
& *VICEC(I,J-1,bi,bj)*UVM(I,J,bi,bj) |
| 470 |
ELSE IF(J.EQ.sNy+OLy-1) THEN |
| 471 |
AA9=(AA1*DELY2(I,J)-(ZETAMEAN(I,J)-ETAMEAN(I,J)) |
| 472 |
& *TNGICE(I,J+1,bi,bj)*DELYR(I,J) |
| 473 |
& -ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj)*DELYR(I,J)) |
| 474 |
& *VICEC(I,J+1,bi,bj)*UVM(I,J,bi,bj) |
| 475 |
ELSE |
| 476 |
AA9=ZERO |
| 477 |
END IF |
| 478 |
|
| 479 |
VRT(J)=AA9+FXY(I,J)-(AA3+AA4)*DELX2(I,J)*VICE(I,J,2,bi,bj) |
| 480 |
6 +((ETA(I,J-1,bi,bj)/CSUICE(I,J,bi,bj)+ETA(I,J,bi,bj) |
| 481 |
6 /CSUICE(I,J,bi,bj))*VICE(I+1,J,2,bi,bj)*DELX2(I,J) |
| 482 |
7 +(ETA(I-1,J-1,bi,bj)/CSUICE(I,J,bi,bj)+ETA(I-1,J,bi,bj) |
| 483 |
7 /CSUICE(I,J,bi,bj))*VICE(I-1,J,2,bi,bj)*DELX2(I,J)) |
| 484 |
7 /CSUICE(I,J,bi,bj) |
| 485 |
VRT(J)=(VRT(J)+AMASS(I,J,bi,bj)/SEAICE_DT |
| 486 |
& *VICE(I,J,2,bi,bj)*TWO) |
| 487 |
& *UVM(I,J,bi,bj) |
| 488 |
END DO |
| 489 |
|
| 490 |
DO J=1-OLy+1,sNy+OLy-1 |
| 491 |
CVV(J)=CV(I,J) |
| 492 |
END DO |
| 493 |
VRT(1-OLy+1)=VRT(1-OLy+1)/BV(I,1-OLy+1) |
| 494 |
DO J=1-OLy+2,sNy+OLy-1 |
| 495 |
JM=J-1 |
| 496 |
CVV(J)=CVV(J)/(BV(I,J)-AV(I,J)*CVV(JM)) |
| 497 |
VRT(J)=(VRT(J)-AV(I,J)*VRT(JM))/(BV(I,J)-AV(I,J)*CVV(JM)) |
| 498 |
END DO |
| 499 |
DO J=1-OLy+1,sNy+OLy-1-1 |
| 500 |
J1=sNy+OLy-1-J |
| 501 |
J2=J1+1 |
| 502 |
VRT(J1)=VRT(J1)-CVV(J1)*VRT(J2) |
| 503 |
END DO |
| 504 |
DO J=1-OLy+1,sNy+OLy-1 |
| 505 |
VICE(I,J,1,bi,bj)=VRT(J) |
| 506 |
END DO |
| 507 |
1301 CONTINUE |
| 508 |
|
| 509 |
c DO J=1,sNy |
| 510 |
c DO I=1,sNx |
| 511 |
c VICE(I,J,3,bi,bj)=VICE(I,J,1,bi,bj) |
| 512 |
c END DO |
| 513 |
c END DO |
| 514 |
|
| 515 |
ENDDO |
| 516 |
ENDDO |
| 517 |
|
| 518 |
CALL SEAICE_EXCH( VICE, myThid ) |
| 519 |
|
| 520 |
C NOW SECOND HALF |
| 521 |
|
| 522 |
c$taf loop = parallel |
| 523 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 524 |
c$taf loop = parallel |
| 525 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 526 |
|
| 527 |
DO J=1-OLy+1,sNy+OLy-1 |
| 528 |
DO I=1-OLx+1,sNx+OLx-1 |
| 529 |
|
| 530 |
AA1=ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj) |
| 531 |
& +ETA(I,J,bi,bj)+ZETA(I,J,bi,bj) |
| 532 |
AA2=ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj) |
| 533 |
& +ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj) |
| 534 |
AA3=(ETA(I,J-1,bi,bj)/CSUICE(I,J,bi,bj)+ETA(I,J,bi,bj) |
| 535 |
& /CSUICE(I,J,bi,bj))/CSUICE(I,J,bi,bj) |
| 536 |
AA4=(ETA(I-1,J-1,bi,bj)/CSUICE(I,J,bi,bj)+ETA(I-1,J,bi,bj) |
| 537 |
& /CSUICE(I,J,bi,bj))/CSUICE(I,J,bi,bj) |
| 538 |
AA6=TWO*ETAMEAN(I,J)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
| 539 |
|
| 540 |
AU(I,J)=-AA4*DELX2(I,J)*UVM(I,J,bi,bj) |
| 541 |
BU(I,J)=((AA3+AA4)*DELX2(I,J)+AA6*RADIUS2 |
| 542 |
& +AMASS(I,J,bi,bj)/SEAICE_DT*TWO |
| 543 |
& +DRAGS(I,J,bi,bj))*UVM(I,J,bi,bj) |
| 544 |
& +(ONE-UVM(I,J,bi,bj)) |
| 545 |
CU(I,J)=-AA3*DELX2(I,J)*UVM(I,J,bi,bj) |
| 546 |
END DO |
| 547 |
END DO |
| 548 |
DO J=1-OLy+1,sNy+OLy-1 |
| 549 |
AU(1-OLx+1,J)=ZERO |
| 550 |
CU(sNx+OLx-1,J)=ZERO |
| 551 |
CU(1-OLx+1,J)=CU(1-OLx+1,J)/BU(1-OLx+1,J) |
| 552 |
END DO |
| 553 |
|
| 554 |
DO J=1-OLy+1,sNy+OLy-1 |
| 555 |
DO I=1-OLx+1,sNx+OLx-1 |
| 556 |
|
| 557 |
AA1=ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj) |
| 558 |
& +ETA(I,J,bi,bj)+ZETA(I,J,bi,bj) |
| 559 |
AA2=ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj) |
| 560 |
& +ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj) |
| 561 |
AA3=(ETA(I,J-1,bi,bj)/CSUICE(I,J,bi,bj)+ETA(I,J,bi,bj) |
| 562 |
& /CSUICE(I,J,bi,bj))/CSUICE(I,J,bi,bj) |
| 563 |
AA4=(ETA(I-1,J-1,bi,bj)/CSUICE(I,J,bi,bj)+ETA(I-1,J,bi,bj) |
| 564 |
& /CSUICE(I,J,bi,bj))/CSUICE(I,J,bi,bj) |
| 565 |
AA5=((ZETA(I-1,J,bi,bj)-ETA(I-1,J,bi,bj)) |
| 566 |
& +(ZETA(I,J,bi,bj)-ETA(I,J,bi,bj)) |
| 567 |
& -(ZETA(I-1,J-1,bi,bj)-ETA(I-1,J-1,bi,bj)) |
| 568 |
& -(ZETA(I,J-1,bi,bj) |
| 569 |
& -ETA(I,J-1,bi,bj)))*TNGICE(I,J,bi,bj) |
| 570 |
AA6=TWO*ETAMEAN(I,J)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
| 571 |
|
| 572 |
IF(I.EQ.1-OLx+1) THEN |
| 573 |
AA9=AA4*DELX2(I,J)*VICEC(I-1,J,bi,bj)*UVM(I,J,bi,bj) |
| 574 |
ELSE IF(I.EQ.sNx+OLx-1) THEN |
| 575 |
AA9=AA3*DELX2(I,J)*VICEC(I+1,J,bi,bj)*UVM(I,J,bi,bj) |
| 576 |
ELSE |
| 577 |
AA9=ZERO |
| 578 |
END IF |
| 579 |
|
| 580 |
FXY1(I,J)=AA9+AMASS(I,J,bi,bj)/SEAICE_DT |
| 581 |
1 *VICE(I,J,1,bi,bj)*TWO |
| 582 |
1 -AA5*DELYR(I,J)*VICE(I,J,1,bi,bj) |
| 583 |
1 -(AA1+AA2)*DELY2(I,J)*VICE(I,J,1,bi,bj) |
| 584 |
1 +AA1*DELY2(I,J)*VICE(I,J+1,1,bi,bj) |
| 585 |
1 -((ZETAMEAN(I,J)-ETAMEAN(I,J)) |
| 586 |
1 *TNGICE(I,J+1,bi,bj)*DELYR(I,J) |
| 587 |
1 +ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj)*DELYR(I,J)) |
| 588 |
1 *VICE(I,J+1,1,bi,bj) |
| 589 |
2 +AA2*DELY2(I,J)*VICE(I,J-1,1,bi,bj) |
| 590 |
2 +((ZETAMEAN(I,J)-ETAMEAN(I,J)) |
| 591 |
2 *TNGICE(I,J-1,bi,bj)*DELYR(I,J) |
| 592 |
2 +ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj)*DELYR(I,J)) |
| 593 |
2 *VICE(I,J-1,1,bi,bj) |
| 594 |
END DO |
| 595 |
END DO |
| 596 |
|
| 597 |
DO 1201 J=1-OLy+1,sNy+OLy-1 |
| 598 |
DO I=1-OLx+1,sNx+OLx-1 |
| 599 |
URT(I)=FXY(I,J)+FXY1(I,J) |
| 600 |
URT(I)=URT(I)*UVM(I,J,bi,bj) |
| 601 |
END DO |
| 602 |
|
| 603 |
DO I=1-OLx+1,sNx+OLx-1 |
| 604 |
CUU(I)=CU(I,J) |
| 605 |
END DO |
| 606 |
URT(1-OLx+1)=URT(1-OLx+1)/BU(1-OLx+1,J) |
| 607 |
DO I=1-OLx+2,sNx+OLx-1 |
| 608 |
IM=I-1 |
| 609 |
CUU(I)=CUU(I)/(BU(I,J)-AU(I,J)*CUU(IM)) |
| 610 |
URT(I)=(URT(I)-AU(I,J)*URT(IM))/(BU(I,J)-AU(I,J)*CUU(IM)) |
| 611 |
END DO |
| 612 |
DO I=1-OLx+1,sNx+OLx-1-1 |
| 613 |
J1=sNx+OLx-1-I |
| 614 |
J2=J1+1 |
| 615 |
URT(J1)=URT(J1)-CUU(J1)*URT(J2) |
| 616 |
END DO |
| 617 |
DO I=1-OLx+1,sNx+OLx-1 |
| 618 |
VICE(I,J,1,bi,bj)=URT(I) |
| 619 |
END DO |
| 620 |
1201 CONTINUE |
| 621 |
|
| 622 |
ENDDO |
| 623 |
ENDDO |
| 624 |
|
| 625 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 626 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 627 |
DO J=1,sNy |
| 628 |
DO I=1,sNx |
| 629 |
UICEC(I,J,bi,bj)=UICE(I,J,1,bi,bj)*UVM(I,J,bi,bj) |
| 630 |
VICEC(I,J,bi,bj)=VICE(I,J,1,bi,bj)*UVM(I,J,bi,bj) |
| 631 |
END DO |
| 632 |
END DO |
| 633 |
ENDDO |
| 634 |
ENDDO |
| 635 |
|
| 636 |
C-- Update overlap regions |
| 637 |
CALL EXCH_UV_XY_RL(UICEC,VICEC,.TRUE.,myThid) |
| 638 |
|
| 639 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 640 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 641 |
DO j=1-OLy,sNy+OLy |
| 642 |
DO i=1-OLx,sNx+OLx |
| 643 |
UICE(I,J,1,bi,bj)=UICEC(I,J,bi,bj) |
| 644 |
VICE(I,J,1,bi,bj)=VICEC(I,J,bi,bj) |
| 645 |
ENDDO |
| 646 |
ENDDO |
| 647 |
ENDDO |
| 648 |
ENDDO |
| 649 |
|
| 650 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
| 651 |
#endif /* ALLOW_SEAICE */ |
| 652 |
|
| 653 |
RETURN |
| 654 |
END |
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