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C $Header: /u/gcmpack/MITgcm/pkg/seaice/adi.F,v 1.11 2004/04/28 12:00:53 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 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) |
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3 *RECIP_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) |
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4 *RECIP_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 *RECIP_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))*RECIP_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 *RECIP_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)*RECIP_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)*RECIP_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)-VICEC(I-1,J,bi,bj)) |
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7 *DELXR(I,J)*RECIP_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)) |
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& *RECIP_CSUICE(I,J,bi,bj) |
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& +(ETA(I,J,bi,bj)+ZETA(I,J,bi,bj)) |
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& *RECIP_CSUICE(I,J,bi,bj))*RECIP_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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& *RECIP_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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& *RECIP_CSUICE(I,J,bi,bj))*RECIP_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 |
185 |
|
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AA1=((ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj)) |
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& *RECIP_CSUICE(I,J,bi,bj) |
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& +(ETA(I,J,bi,bj)+ZETA(I,J,bi,bj)) |
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& *RECIP_CSUICE(I,J,bi,bj))*RECIP_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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& *RECIP_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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& *RECIP_CSUICE(I,J,bi,bj))*RECIP_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) |
204 |
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) |
210 |
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) |
212 |
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) |
214 |
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) |
216 |
3 -UICE(I,J-1,2,bi,bj)*TNGICE(I,J-1,bi,bj)) |
217 |
4 -ETAMEAN(I,J)*DELYR(I,J)*TWO*TNGICE(I,J,bi,bj) |
218 |
4 *(UICE(I,J+1,2,bi,bj) |
219 |
4 -UICE(I,J-1,2,bi,bj)) |
220 |
URT(I)=(URT(I)+AMASS(I,J,bi,bj)/SEAICE_DT |
221 |
& *UICE(I,J,2,bi,bj)*TWO)*UVM(I,J,bi,bj) |
222 |
END DO |
223 |
|
224 |
DO I=1-OLx+1,sNx+OLx-1 |
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CUU(I)=CU(I,J) |
226 |
END DO |
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URT(1-OLx+1)=URT(1-OLx+1)/BU(1-OLx+1,J) |
228 |
DO I=1-OLx+2,sNx+OLx-1 |
229 |
IM=I-1 |
230 |
CUU(I)=CUU(I)/(BU(I,J)-AU(I,J)*CUU(IM)) |
231 |
URT(I)=(URT(I)-AU(I,J)*URT(IM))/(BU(I,J)-AU(I,J)*CUU(IM)) |
232 |
END DO |
233 |
DO I=1-OLx+1,sNx+OLx-1-1 |
234 |
J1=sNx+OLx-1-I |
235 |
J2=J1+1 |
236 |
URT(J1)=URT(J1)-CUU(J1)*URT(J2) |
237 |
END DO |
238 |
DO I=1-OLx+1,sNx+OLx-1 |
239 |
UICE(I,J,1,bi,bj)=URT(I) |
240 |
END DO |
241 |
1200 CONTINUE |
242 |
|
243 |
c DO J=1,sNy |
244 |
c DO I=1,sNx |
245 |
c UICE(I,J,3,bi,bj)=UICE(I,J,1,bi,bj) |
246 |
c END DO |
247 |
c END DO |
248 |
|
249 |
ENDDO |
250 |
ENDDO |
251 |
|
252 |
CALL SEAICE_EXCH( UICE, myThid ) |
253 |
|
254 |
C NOW SECOND HALF |
255 |
|
256 |
c$taf loop = parallel |
257 |
DO bj=myByLo(myThid),myByHi(myThid) |
258 |
c$taf loop = parallel |
259 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
260 |
|
261 |
DO I=1-OLx+1,sNx+OLx-1 |
262 |
DO J=1-OLy+1,sNy+OLy-1 |
263 |
|
264 |
AA1=ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
265 |
AA2=ETA(I-1,J-1,bi,bj)+ETA(I,J-1,bi,bj) |
266 |
AA5=-(ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
267 |
& -ETA(I-1,J-1,bi,bj)-ETA(I,J-1,bi,bj))*TNGICE(I,J,bi,bj) |
268 |
AA6=TWO*ETAMEAN(I,J)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
269 |
|
270 |
AV(I,J)=(-AA2*DELY2(I,J)+ETAMEAN(I,J)*DELYR(I,J) |
271 |
& *(TNGICE(I,J-1,bi,bj) |
272 |
& -TWO*TNGICE(I,J,bi,bj)))*UVM(I,J,bi,bj) |
273 |
BV(I,J)=((AA1+AA2)*DELY2(I,J)+AA5*DELYR(I,J)+AA6*RADIUS2 |
274 |
& +AMASS(I,J,bi,bj)/SEAICE_DT*TWO |
275 |
& +DRAGS(I,J,bi,bj))*UVM(I,J,bi,bj) |
276 |
& +(ONE-UVM(I,J,bi,bj)) |
277 |
CV(I,J)=(-AA1*DELY2(I,J)-ETAMEAN(I,J)*DELYR(I,J) |
278 |
& *(TNGICE(I,J+1,bi,bj) |
279 |
& -TWO*TNGICE(I,J,bi,bj)))*UVM(I,J,bi,bj) |
280 |
END DO |
281 |
END DO |
282 |
|
283 |
DO I=1-OLx+1,sNx+OLx-1 |
284 |
AV(I,1-OLy+1)=ZERO |
285 |
CV(I,sNy+OLy-1)=ZERO |
286 |
CV(I,1-OLy+1)=CV(I,1-OLy+1)/BV(I,1-OLy+1) |
287 |
END DO |
288 |
|
289 |
DO I=1-OLx+1,sNx+OLx-1 |
290 |
DO J=1-OLy+1,sNy+OLy-1 |
291 |
|
292 |
AA1=((ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj)) |
293 |
& *RECIP_CSUICE(I,J,bi,bj) |
294 |
& +(ETA(I,J,bi,bj)+ZETA(I,J,bi,bj)) |
295 |
& *RECIP_CSUICE(I,J,bi,bj))*RECIP_CSUICE(I,J,bi,bj) |
296 |
AA2=((ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj)) |
297 |
& *RECIP_CSUICE(I,J,bi,bj) |
298 |
& +(ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj)) |
299 |
& *RECIP_CSUICE(I,J,bi,bj))*RECIP_CSUICE(I,J,bi,bj) |
300 |
|
301 |
AA3=ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
302 |
AA4=ETA(I-1,J-1,bi,bj)+ETA(I,J-1,bi,bj) |
303 |
|
304 |
IF(J.EQ.1-OLy+1) THEN |
305 |
AA9=( AA4*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 IF(J.EQ.sNy+OLy-1) THEN |
310 |
AA9=( AA3*DELY2(I,J)*UICEC(I,J+1,bi,bj) |
311 |
& +ETAMEAN(I,J)*DELYR(I,J)*(TNGICE(I,J+1,bi,bj) |
312 |
& -TWO*TNGICE(I,J,bi,bj)) |
313 |
& *UICEC(I,J+1,bi,bj) )*UVM(I,J,bi,bj) |
314 |
ELSE |
315 |
AA9=ZERO |
316 |
END IF |
317 |
|
318 |
FXY1(I,J)=AA9+AMASS(I,J,bi,bj)/SEAICE_DT*UICE(I,J,1,bi,bj)*TWO |
319 |
5 -(AA1+AA2)*DELX2(I,J)*UICE(I,J,1,bi,bj) |
320 |
6 +((ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj) |
321 |
6 +ETA(I,J,bi,bj)+ZETA(I,J,bi,bj)) |
322 |
6 *UICE(I+1,J,1,bi,bj) |
323 |
6 +(ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj) |
324 |
6 + ETA(I-1,J ,bi,bj)+ZETA(I-1,J ,bi,bj)) |
325 |
6 *UICE(I-1,J,1,bi,bj))*DELX2(I,J) |
326 |
6 *RECIP_CSUICE(I,J,bi,bj)*RECIP_CSUICE(I,J,bi,bj) |
327 |
|
328 |
END DO |
329 |
END DO |
330 |
|
331 |
DO 1300 I=1-OLx+1,sNx+OLx-1 |
332 |
DO J=1-OLy+1,sNy+OLy-1 |
333 |
VRT(J)=FXY(I,J)+FXY1(I,J) |
334 |
VRT(J)=VRT(J)*UVM(I,J,bi,bj) |
335 |
END DO |
336 |
|
337 |
DO J=1-OLy+1,sNy+OLy-1 |
338 |
CVV(J)=CV(I,J) |
339 |
END DO |
340 |
VRT(1-OLy+1)=VRT(1-OLy+1)/BV(I,1-OLy+1) |
341 |
DO J=1-OLy+2,sNy+OLy-1 |
342 |
JM=J-1 |
343 |
CVV(J)=CVV(J)/(BV(I,J)-AV(I,J)*CVV(JM)) |
344 |
VRT(J)=(VRT(J)-AV(I,J)*VRT(JM))/(BV(I,J)-AV(I,J)*CVV(JM)) |
345 |
END DO |
346 |
DO J=1-OLy+1,sNy+OLy-1-1 |
347 |
J1=sNy+OLy-1-J |
348 |
J2=J1+1 |
349 |
VRT(J1)=VRT(J1)-CVV(J1)*VRT(J2) |
350 |
END DO |
351 |
DO J=1-OLy+1,sNy+OLy-1 |
352 |
UICE(I,J,1,bi,bj)=VRT(J) |
353 |
END DO |
354 |
1300 CONTINUE |
355 |
|
356 |
ENDDO |
357 |
ENDDO |
358 |
|
359 |
C SOLVE FOR VICE |
360 |
C FIRST HALF FIRST |
361 |
|
362 |
c$taf loop = parallel |
363 |
DO bj=myByLo(myThid),myByHi(myThid) |
364 |
c$taf loop = parallel |
365 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
366 |
|
367 |
DO I=1-OLx+1,sNx+OLx-1 |
368 |
DO J=1-OLy+1,sNy+OLy-1 |
369 |
|
370 |
FXY(I,J)=-DRAGA(I,J,bi,bj)*UICEC(I,J,bi,bj)+FORCEY(I,J,bi,bj) |
371 |
3 +(HALF*(UICEC(I+1,J,bi,bj)-UICEC(I-1,J,bi,bj)) |
372 |
3 *(ZETA(I-1,J,bi,bj)+ZETA(I,J,bi,bj) |
373 |
3 -ZETA(I-1,J-1,bi,bj)-ZETA(I,J-1,bi,bj))*DELXY(I,J) |
374 |
3 *RECIP_CSUICE(I,J,bi,bj)+HALF*ZETAMEAN(I,J) |
375 |
3 *((UICEC(I+1,J+1,bi,bj) |
376 |
3 -UICEC(I-1,J+1,bi,bj))*RECIP_CSUICE(I,J+1,bi,bj) |
377 |
3 -(UICEC(I+1,J-1,bi,bj)-UICEC(I-1,J-1,bi,bj)) |
378 |
3 *RECIP_CSUICE(I,J-1,bi,bj))*DELXY(I,J)) |
379 |
3 |
380 |
4 -(HALF*(UICEC(I+1,J,bi,bj)-UICEC(I-1,J,bi,bj)) |
381 |
4 *(ETA(I-1,J,bi,bj)+ETA(I,J,bi,bj) |
382 |
4 -ETA(I-1,J-1,bi,bj)-ETA(I,J-1,bi,bj))*DELXY(I,J) |
383 |
4 *RECIP_CSUICE(I,J,bi,bj)+HALF*ETAMEAN(I,J) |
384 |
4 *((UICEC(I+1,J+1,bi,bj) |
385 |
4 -UICEC(I-1,J+1,bi,bj))*RECIP_CSUICE(I,J+1,bi,bj) |
386 |
4 -(UICEC(I+1,J-1,bi,bj)-UICEC(I-1,J-1,bi,bj)) |
387 |
4 *RECIP_CSUICE(I,J-1,bi,bj))*DELXY(I,J)) |
388 |
4 |
389 |
5 +HALF*(ETA(I,J,bi,bj)*(UICEC(I+1,J+1,bi,bj) |
390 |
5 +UICEC(I,J+1,bi,bj) |
391 |
5 -UICEC(I+1,J,bi,bj)-UICEC(I,J,bi,bj))+ETA(I,J-1,bi,bj) |
392 |
5 *(UICEC(I+1,J,bi,bj) |
393 |
5 +UICEC(I,J,bi,bj)-UICEC(I+1,J-1,bi,bj)-UICEC(I,J-1,bi,bj)) |
394 |
5 +ETA(I-1,J,bi,bj) |
395 |
5 *(UICEC(I,J,bi,bj)+UICEC(I-1,J,bi,bj)-UICEC(I,J+1,bi,bj) |
396 |
5 -UICEC(I-1,J+1,bi,bj)) |
397 |
5 +ETA(I-1,J-1,bi,bj)*(UICEC(I,J-1,bi,bj) |
398 |
5 +UICEC(I-1,J-1,bi,bj) |
399 |
5 -UICEC(I,J,bi,bj) |
400 |
5 -UICEC(I-1,J,bi,bj)))*DELXY(I,J)*RECIP_CSUICE(I,J,bi,bj) |
401 |
5 |
402 |
6 +(ETA(I,J,bi,bj)+ETA(I,J-1,bi,bj) |
403 |
6 -ETA(I-1,J-1,bi,bj)-ETA(I-1,J,bi,bj)) |
404 |
6 *TNGICE(I,J,bi,bj)*UICEC(I,J,bi,bj) |
405 |
6 *DELXR(I,J)*RECIP_CSUICE(I,J,bi,bj) |
406 |
6 +ETAMEAN(I,J)*TNGICE(I,J,bi,bj)*(UICEC(I+1,J,bi,bj) |
407 |
6 -UICEC(I-1,J,bi,bj))*DELXR(I,J)*RECIP_CSUICE(I,J,bi,bj) |
408 |
6 |
409 |
7 +ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj)*(UICEC(I+1,J,bi,bj) |
410 |
7 -UICEC(I-1,J,bi,bj))*DELXR(I,J)*RECIP_CSUICE(I,J,bi,bj) |
411 |
|
412 |
END DO |
413 |
END DO |
414 |
|
415 |
DO I=1-OLx+1,sNx+OLx-1 |
416 |
DO J=1-OLy+1,sNy+OLy-1 |
417 |
AA1=ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj) |
418 |
& +ETA(I,J,bi,bj)+ZETA(I,J,bi,bj) |
419 |
AA2=ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj) |
420 |
& +ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj) |
421 |
AA3=(ETA(I,J-1,bi,bj)*RECIP_CSUICE(I,J,bi,bj)+ETA(I,J,bi,bj) |
422 |
& *RECIP_CSUICE(I,J,bi,bj))*RECIP_CSUICE(I,J,bi,bj) |
423 |
AA4=(ETA(I-1,J-1,bi,bj)+ETA(I-1,J,bi,bj)) |
424 |
& *RECIP_CSUICE(I,J,bi,bj)*RECIP_CSUICE(I,J,bi,bj) |
425 |
AA5=((ZETA(I-1,J,bi,bj)-ETA(I-1,J,bi,bj)) |
426 |
& +(ZETA(I,J,bi,bj)-ETA(I,J,bi,bj)) |
427 |
& -(ZETA(I-1,J-1,bi,bj)-ETA(I-1,J-1,bi,bj)) |
428 |
& -(ZETA(I,J-1,bi,bj) |
429 |
& -ETA(I,J-1,bi,bj)))*TNGICE(I,J,bi,bj) |
430 |
AA6=TWO*ETAMEAN(I,J)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
431 |
|
432 |
AV(I,J)=(-AA2*DELY2(I,J)-(ZETAMEAN(I,J)-ETAMEAN(I,J)) |
433 |
& *TNGICE(I,J-1,bi,bj) |
434 |
& *DELYR(I,J)-ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj) |
435 |
& *DELYR(I,J))*UVM(I,J,bi,bj) |
436 |
BV(I,J)=((AA1+AA2)*DELY2(I,J)+AA5*DELYR(I,J)+AA6*RADIUS2 |
437 |
& +AMASS(I,J,bi,bj)/SEAICE_DT*TWO |
438 |
& +DRAGS(I,J,bi,bj))*UVM(I,J,bi,bj) |
439 |
& +(ONE-UVM(I,J,bi,bj)) |
440 |
CV(I,J)=(-AA1*DELY2(I,J)+(ZETAMEAN(I,J)-ETAMEAN(I,J)) |
441 |
& *TNGICE(I,J+1,bi,bj) |
442 |
& *DELYR(I,J)+ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj) |
443 |
& *DELYR(I,J))*UVM(I,J,bi,bj) |
444 |
END DO |
445 |
END DO |
446 |
DO I=1-OLx+1,sNx+OLx-1 |
447 |
AV(I,1-OLy+1)=ZERO |
448 |
CV(I,sNy+OLy-1)=ZERO |
449 |
CV(I,1-OLy+1)=CV(I,1-OLy+1)/BV(I,1-OLy+1) |
450 |
END DO |
451 |
|
452 |
c$taf loop = parallel |
453 |
DO 1301 I=1-OLx+1,sNx+OLx-1 |
454 |
DO J=1-OLy+1,sNy+OLy-1 |
455 |
|
456 |
AA1=ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj) |
457 |
& +ETA(I,J,bi,bj)+ZETA(I,J,bi,bj) |
458 |
AA2=ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj) |
459 |
& +ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj) |
460 |
AA3=(ETA(I,J-1,bi,bj)*RECIP_CSUICE(I,J,bi,bj)+ETA(I,J,bi,bj) |
461 |
& *RECIP_CSUICE(I,J,bi,bj))*RECIP_CSUICE(I,J,bi,bj) |
462 |
AA4=(ETA(I-1,J-1,bi,bj)+ETA(I-1,J,bi,bj)) |
463 |
& *RECIP_CSUICE(I,J,bi,bj)*RECIP_CSUICE(I,J,bi,bj) |
464 |
AA5=((ZETA(I-1,J,bi,bj)-ETA(I-1,J,bi,bj)) |
465 |
& +(ZETA(I,J,bi,bj)-ETA(I,J,bi,bj)) |
466 |
& -(ZETA(I-1,J-1,bi,bj)-ETA(I-1,J-1,bi,bj)) |
467 |
& -(ZETA(I,J-1,bi,bj)-ETA(I,J-1,bi,bj)))*TNGICE(I,J,bi,bj) |
468 |
AA6=TWO*ETAMEAN(I,J)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
469 |
|
470 |
IF(J.EQ.1-OLy+1) THEN |
471 |
AA9=(AA2*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 IF(J.EQ.sNy+OLy-1) THEN |
476 |
AA9=(AA1*DELY2(I,J)-(ZETAMEAN(I,J)-ETAMEAN(I,J)) |
477 |
& *TNGICE(I,J+1,bi,bj)*DELYR(I,J) |
478 |
& -ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj)*DELYR(I,J)) |
479 |
& *VICEC(I,J+1,bi,bj)*UVM(I,J,bi,bj) |
480 |
ELSE |
481 |
AA9=ZERO |
482 |
END IF |
483 |
|
484 |
VRT(J)=AA9+FXY(I,J)-(AA3+AA4)*DELX2(I,J)*VICE(I,J,2,bi,bj) |
485 |
6 +((ETA(I,J-1,bi,bj)*RECIP_CSUICE(I,J,bi,bj)+ETA(I,J,bi,bj) |
486 |
6 *RECIP_CSUICE(I,J,bi,bj))*VICE(I+1,J,2,bi,bj)*DELX2(I,J) |
487 |
7 +(ETA(I-1,J-1,bi,bj)+ETA(I-1,J,bi,bj)) |
488 |
7 *VICE(I-1,J,2,bi,bj)*DELX2(I,J)) |
489 |
7 *RECIP_CSUICE(I,J,bi,bj)*RECIP_CSUICE(I,J,bi,bj) |
490 |
VRT(J)=(VRT(J)+AMASS(I,J,bi,bj)/SEAICE_DT |
491 |
& *VICE(I,J,2,bi,bj)*TWO) |
492 |
& *UVM(I,J,bi,bj) |
493 |
END DO |
494 |
|
495 |
DO J=1-OLy+1,sNy+OLy-1 |
496 |
CVV(J)=CV(I,J) |
497 |
END DO |
498 |
VRT(1-OLy+1)=VRT(1-OLy+1)/BV(I,1-OLy+1) |
499 |
DO J=1-OLy+2,sNy+OLy-1 |
500 |
JM=J-1 |
501 |
CVV(J)=CVV(J)/(BV(I,J)-AV(I,J)*CVV(JM)) |
502 |
VRT(J)=(VRT(J)-AV(I,J)*VRT(JM))/(BV(I,J)-AV(I,J)*CVV(JM)) |
503 |
END DO |
504 |
DO J=1-OLy+1,sNy+OLy-1-1 |
505 |
J1=sNy+OLy-1-J |
506 |
J2=J1+1 |
507 |
VRT(J1)=VRT(J1)-CVV(J1)*VRT(J2) |
508 |
END DO |
509 |
DO J=1-OLy+1,sNy+OLy-1 |
510 |
VICE(I,J,1,bi,bj)=VRT(J) |
511 |
END DO |
512 |
1301 CONTINUE |
513 |
|
514 |
c DO J=1,sNy |
515 |
c DO I=1,sNx |
516 |
c VICE(I,J,3,bi,bj)=VICE(I,J,1,bi,bj) |
517 |
c END DO |
518 |
c END DO |
519 |
|
520 |
ENDDO |
521 |
ENDDO |
522 |
|
523 |
CALL SEAICE_EXCH( VICE, myThid ) |
524 |
|
525 |
C NOW SECOND HALF |
526 |
|
527 |
c$taf loop = parallel |
528 |
DO bj=myByLo(myThid),myByHi(myThid) |
529 |
c$taf loop = parallel |
530 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
531 |
|
532 |
DO J=1-OLy+1,sNy+OLy-1 |
533 |
DO I=1-OLx+1,sNx+OLx-1 |
534 |
|
535 |
AA1=ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj) |
536 |
& +ETA(I,J,bi,bj)+ZETA(I,J,bi,bj) |
537 |
AA2=ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj) |
538 |
& +ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj) |
539 |
AA3=(ETA(I,J-1,bi,bj)*RECIP_CSUICE(I,J,bi,bj)+ETA(I,J,bi,bj) |
540 |
& *RECIP_CSUICE(I,J,bi,bj))*RECIP_CSUICE(I,J,bi,bj) |
541 |
AA4=(ETA(I-1,J-1,bi,bj)+ETA(I-1,J,bi,bj)) |
542 |
& *RECIP_CSUICE(I,J,bi,bj)*RECIP_CSUICE(I,J,bi,bj) |
543 |
AA6=TWO*ETAMEAN(I,J)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
544 |
|
545 |
AU(I,J)=-AA4*DELX2(I,J)*UVM(I,J,bi,bj) |
546 |
BU(I,J)=((AA3+AA4)*DELX2(I,J)+AA6*RADIUS2 |
547 |
& +AMASS(I,J,bi,bj)/SEAICE_DT*TWO |
548 |
& +DRAGS(I,J,bi,bj))*UVM(I,J,bi,bj) |
549 |
& +(ONE-UVM(I,J,bi,bj)) |
550 |
CU(I,J)=-AA3*DELX2(I,J)*UVM(I,J,bi,bj) |
551 |
END DO |
552 |
END DO |
553 |
DO J=1-OLy+1,sNy+OLy-1 |
554 |
AU(1-OLx+1,J)=ZERO |
555 |
CU(sNx+OLx-1,J)=ZERO |
556 |
CU(1-OLx+1,J)=CU(1-OLx+1,J)/BU(1-OLx+1,J) |
557 |
END DO |
558 |
|
559 |
DO J=1-OLy+1,sNy+OLy-1 |
560 |
DO I=1-OLx+1,sNx+OLx-1 |
561 |
|
562 |
AA1=ETA(I-1,J,bi,bj)+ZETA(I-1,J,bi,bj) |
563 |
& +ETA(I,J,bi,bj)+ZETA(I,J,bi,bj) |
564 |
AA2=ETA(I-1,J-1,bi,bj)+ZETA(I-1,J-1,bi,bj) |
565 |
& +ETA(I,J-1,bi,bj)+ZETA(I,J-1,bi,bj) |
566 |
AA3=(ETA(I,J-1,bi,bj)*RECIP_CSUICE(I,J,bi,bj)+ETA(I,J,bi,bj) |
567 |
& *RECIP_CSUICE(I,J,bi,bj))*RECIP_CSUICE(I,J,bi,bj) |
568 |
AA4=(ETA(I-1,J-1,bi,bj)+ETA(I-1,J,bi,bj)) |
569 |
& *RECIP_CSUICE(I,J,bi,bj)*RECIP_CSUICE(I,J,bi,bj) |
570 |
AA5=((ZETA(I-1,J,bi,bj)-ETA(I-1,J,bi,bj)) |
571 |
& +(ZETA(I,J,bi,bj)-ETA(I,J,bi,bj)) |
572 |
& -(ZETA(I-1,J-1,bi,bj)-ETA(I-1,J-1,bi,bj)) |
573 |
& -(ZETA(I,J-1,bi,bj) |
574 |
& -ETA(I,J-1,bi,bj)))*TNGICE(I,J,bi,bj) |
575 |
AA6=TWO*ETAMEAN(I,J)*TNGICE(I,J,bi,bj)*TNGICE(I,J,bi,bj) |
576 |
|
577 |
IF(I.EQ.1-OLx+1) THEN |
578 |
AA9=AA4*DELX2(I,J)*VICEC(I-1,J,bi,bj)*UVM(I,J,bi,bj) |
579 |
ELSE IF(I.EQ.sNx+OLx-1) THEN |
580 |
AA9=AA3*DELX2(I,J)*VICEC(I+1,J,bi,bj)*UVM(I,J,bi,bj) |
581 |
ELSE |
582 |
AA9=ZERO |
583 |
END IF |
584 |
|
585 |
FXY1(I,J)=AA9+AMASS(I,J,bi,bj)/SEAICE_DT |
586 |
1 *VICE(I,J,1,bi,bj)*TWO |
587 |
1 -AA5*DELYR(I,J)*VICE(I,J,1,bi,bj) |
588 |
1 -(AA1+AA2)*DELY2(I,J)*VICE(I,J,1,bi,bj) |
589 |
1 +AA1*DELY2(I,J)*VICE(I,J+1,1,bi,bj) |
590 |
1 -((ZETAMEAN(I,J)-ETAMEAN(I,J)) |
591 |
1 *TNGICE(I,J+1,bi,bj)*DELYR(I,J) |
592 |
1 +ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj)*DELYR(I,J)) |
593 |
1 *VICE(I,J+1,1,bi,bj) |
594 |
2 +AA2*DELY2(I,J)*VICE(I,J-1,1,bi,bj) |
595 |
2 +((ZETAMEAN(I,J)-ETAMEAN(I,J)) |
596 |
2 *TNGICE(I,J-1,bi,bj)*DELYR(I,J) |
597 |
2 +ETAMEAN(I,J)*TWO*TNGICE(I,J,bi,bj)*DELYR(I,J)) |
598 |
2 *VICE(I,J-1,1,bi,bj) |
599 |
END DO |
600 |
END DO |
601 |
|
602 |
DO 1201 J=1-OLy+1,sNy+OLy-1 |
603 |
DO I=1-OLx+1,sNx+OLx-1 |
604 |
URT(I)=FXY(I,J)+FXY1(I,J) |
605 |
URT(I)=URT(I)*UVM(I,J,bi,bj) |
606 |
END DO |
607 |
|
608 |
DO I=1-OLx+1,sNx+OLx-1 |
609 |
CUU(I)=CU(I,J) |
610 |
END DO |
611 |
URT(1-OLx+1)=URT(1-OLx+1)/BU(1-OLx+1,J) |
612 |
DO I=1-OLx+2,sNx+OLx-1 |
613 |
IM=I-1 |
614 |
CUU(I)=CUU(I)/(BU(I,J)-AU(I,J)*CUU(IM)) |
615 |
URT(I)=(URT(I)-AU(I,J)*URT(IM))/(BU(I,J)-AU(I,J)*CUU(IM)) |
616 |
END DO |
617 |
DO I=1-OLx+1,sNx+OLx-1-1 |
618 |
J1=sNx+OLx-1-I |
619 |
J2=J1+1 |
620 |
URT(J1)=URT(J1)-CUU(J1)*URT(J2) |
621 |
END DO |
622 |
DO I=1-OLx+1,sNx+OLx-1 |
623 |
VICE(I,J,1,bi,bj)=URT(I) |
624 |
END DO |
625 |
1201 CONTINUE |
626 |
|
627 |
ENDDO |
628 |
ENDDO |
629 |
|
630 |
DO bj=myByLo(myThid),myByHi(myThid) |
631 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
632 |
DO J=1,sNy |
633 |
DO I=1,sNx |
634 |
UICEC(I,J,bi,bj)=UICE(I,J,1,bi,bj)*UVM(I,J,bi,bj) |
635 |
VICEC(I,J,bi,bj)=VICE(I,J,1,bi,bj)*UVM(I,J,bi,bj) |
636 |
END DO |
637 |
END DO |
638 |
ENDDO |
639 |
ENDDO |
640 |
|
641 |
C-- Update overlap regions |
642 |
CALL EXCH_UV_XY_RL(UICEC,VICEC,.TRUE.,myThid) |
643 |
|
644 |
DO bj=myByLo(myThid),myByHi(myThid) |
645 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
646 |
DO j=1-OLy,sNy+OLy |
647 |
DO i=1-OLx,sNx+OLx |
648 |
UICE(I,J,1,bi,bj)=UICEC(I,J,bi,bj) |
649 |
VICE(I,J,1,bi,bj)=VICEC(I,J,bi,bj) |
650 |
ENDDO |
651 |
ENDDO |
652 |
ENDDO |
653 |
ENDDO |
654 |
|
655 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
656 |
#endif /* ALLOW_SEAICE */ |
657 |
|
658 |
RETURN |
659 |
END |