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C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_reg_ridge.F,v 1.3 2014/06/10 07:17:05 mlosch Exp $ |
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C $Name: $ |
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|
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#include "SEAICE_OPTIONS.h" |
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#ifdef ALLOW_EXF |
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# include "EXF_OPTIONS.h" |
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#endif |
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|
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CBOP |
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C !ROUTINE: SEAICE_REG_RIDGE |
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C !INTERFACE: |
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SUBROUTINE SEAICE_REG_RIDGE( myTime, myIter, myThid ) |
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C !DESCRIPTION: \bv |
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C *=================================================================* |
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C | SUBROUTINE seaice_reg_ridge |
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C | o this routine has two purposes: |
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C | (1) clean up after advection (undershoots etc.); |
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C | after advection, the sea ice variables may have unphysical |
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C | values, e.g. < 0 or very thin ice, that are regularized |
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C | here. |
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C | (2) driver for ice ridging; |
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C | concentration as a special case may be > 1 in convergent |
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C | motion and a ridging algorithm redistributes the ice to |
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C | limit the concentration to 1. |
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C | o called after S/R seaice_advdiff |
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C *=================================================================* |
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C \ev |
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|
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C !USES: |
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IMPLICIT NONE |
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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_SIZE.h" |
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#include "SEAICE_PARAMS.h" |
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#include "SEAICE.h" |
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#include "SEAICE_TRACER.h" |
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#ifdef ALLOW_EXF |
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# include "EXF_FIELDS.h" |
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#endif |
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#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C === Routine arguments === |
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C myTime :: Simulation time |
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C myIter :: Simulation timestep number |
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C myThid :: Thread no. that called this routine. |
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_RL myTime |
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INTEGER myIter, myThid |
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|
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#ifdef ALLOW_SEAICE |
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C !LOCAL VARIABLES: |
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C === Local variables === |
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C i,j,bi,bj :: Loop counters |
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INTEGER i, j, bi, bj |
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C number of surface interface layer |
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C IT :: ice thickness category index (ITD and SEAICE_multDim code) |
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INTEGER IT |
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C reciprocal of time step |
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_RL recip_deltaTtherm |
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C temporary variables available for the various computations |
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_RL tmpscal1, tmpscal2 |
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#ifdef SEAICE_ITD |
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_RL tmpscal1itd(1:sNx,1:sNy), tmpscal2itd(1:sNx,1:sNy) |
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_RL tmpscal3itd(1:sNx,1:sNy) |
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C reciprocal number of ice classes nITD |
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_RL recip_nitd |
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#endif /* SEAICE_ITD */ |
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#ifdef ALLOW_DIAGNOSTICS |
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C Helper variables for diagnostics |
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_RL DIAGarrayA (1:sNx,1:sNy) |
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#endif /* ALLOW_DIAGNOSTICS */ |
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CEOP |
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|
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C |
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C === Routine body === |
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C |
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recip_deltaTtherm = ONE / SEAICE_deltaTtherm |
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|
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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act1 = bi - myBxLo(myThid) |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
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act2 = bj - myByLo(myThid) |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
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act3 = myThid - 1 |
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max3 = nTx*nTy |
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act4 = ikey_dynamics - 1 |
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iicekey = (act1 + 1) + act2*max1 |
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& + act3*max1*max2 |
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& + act4*max1*max2*max3 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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DO J=1-OLy,sNy+OLy |
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DO I=1-OLx,sNx+OLx |
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d_HEFFbyNEG(I,J,bi,bj) = 0.0 _d 0 |
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d_HSNWbyNEG(I,J,bi,bj) = 0.0 _d 0 |
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#ifdef EXF_SEAICE_FRACTION |
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d_AREAbyRLX(I,J,bi,bj) = 0.0 _d 0 |
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d_HEFFbyRLX(I,J,bi,bj) = 0.0 _d 0 |
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#endif /* EXF_SEAICE_FRACTION */ |
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#ifdef SEAICE_VARIABLE_SALINITY |
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saltFluxAdjust(I,J,bi,bj) = 0.0 _d 0 |
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#endif /* SEAICE_VARIABLE_SALINITY */ |
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ENDDO |
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ENDDO |
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|
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C ===================================================================== |
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C ========== PART 1: treat pathological cases (post advdiff) ========== |
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C ===================================================================== |
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|
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#if (defined ALLOW_AUTODIFF_TAMC && defined SEAICE_MODIFY_GROWTH_ADJ) |
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Cgf no dependency through pathological cases treatment |
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IF ( SEAICEadjMODE.EQ.0 ) THEN |
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#endif |
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|
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#ifdef EXF_SEAICE_FRACTION |
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CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
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CADJ STORE area(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
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C-- (0) relax sea ice concentration towards observation |
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IF ( SEAICE_tauAreaObsRelax .GT. zeroRL ) THEN |
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DO J=1,sNy |
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DO I=1,sNx |
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IF ( exf_iceFraction(I,J,bi,bj).GT.AREA(I,J,bi,bj) ) THEN |
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d_AREAbyRLX(i,j,bi,bj) = |
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& SEAICE_deltaTtherm/SEAICE_tauAreaObsRelax |
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& * (exf_iceFraction(I,J,bi,bj) - AREA(I,J,bi,bj)) |
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ENDIF |
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IF ( exf_iceFraction(I,J,bi,bj).GT.zeroRS .AND. |
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& AREA(I,J,bi,bj).EQ.0. _d 0) THEN |
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C d_HEFFbyRLX(i,j,bi,bj) = 1. _d 1 * siEps * d_AREAbyRLX(i,j,bi,bj) |
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d_HEFFbyRLX(i,j,bi,bj) = 1. _d 1 * siEps |
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ENDIF |
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#ifdef SEAICE_ITD |
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AREAITD(I,J,1,bi,bj) = AREAITD(I,J,1,bi,bj) |
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& + d_AREAbyRLX(i,j,bi,bj) |
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HEFFITD(I,J,1,bi,bj) = HEFFITD(I,J,1,bi,bj) |
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& + d_HEFFbyRLX(i,j,bi,bj) |
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#endif /* SEAICE_ITD */ |
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AREA(I,J,bi,bj) = AREA(I,J,bi,bj) + d_AREAbyRLX(i,j,bi,bj) |
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HEFF(I,J,bi,bj) = HEFF(I,J,bi,bj) + d_HEFFbyRLX(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* EXF_SEAICE_FRACTION */ |
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|
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C-- (1) treat the case of negative values: |
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|
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#ifdef SEAICE_ITD |
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DO IT=1,SEAICE_multDim |
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DO J=1,sNy |
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DO I=1,sNx |
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tmpscal1=0. _d 0 |
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tmpscal2=0. _d 0 |
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tmpscal1=MAX(-HEFFITD(I,J,IT,bi,bj),0. _d 0) |
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HEFFITD(I,J,IT,bi,bj)=HEFFITD(I,J,IT,bi,bj)+tmpscal1 |
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d_HEFFbyNEG(I,J,bi,bj)=d_HEFFbyNEG(I,J,bi,bj)+tmpscal1 |
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tmpscal2=MAX(-HSNOWITD(I,J,IT,bi,bj),0. _d 0) |
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HSNOWITD(I,J,IT,bi,bj)=HSNOWITD(I,J,IT,bi,bj)+tmpscal2 |
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d_HSNWbyNEG(I,J,bi,bj)=d_HSNWbyNEG(I,J,bi,bj)+tmpscal2 |
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AREAITD(I,J,IT,bi,bj)=MAX(AREAITD(I,J,IT,bi,bj),0. _d 0) |
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C AREA, HEFF, and HSNOW will be updated at end of PART 1 |
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C by calling SEAICE_ITD_SUM |
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ENDDO |
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ENDDO |
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ENDDO |
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C update mean thicknesses HEFF and HSNOW and total ice |
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C concentration AREA to match single category values |
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CALL SEAICE_ITD_SUM ( bi, bj, myTime, myIter, myThid ) |
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#else /* ndef SEAICE_ITD */ |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
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CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
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CADJ STORE area(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO J=1,sNy |
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DO I=1,sNx |
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d_HEFFbyNEG(I,J,bi,bj)=MAX(-HEFF(I,J,bi,bj),0. _d 0) |
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HEFF(I,J,bi,bj)=HEFF(I,J,bi,bj)+d_HEFFbyNEG(I,J,bi,bj) |
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d_HSNWbyNEG(I,J,bi,bj)=MAX(-HSNOW(I,J,bi,bj),0. _d 0) |
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HSNOW(I,J,bi,bj)=HSNOW(I,J,bi,bj)+d_HSNWbyNEG(I,J,bi,bj) |
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AREA(I,J,bi,bj)=MAX(AREA(I,J,bi,bj),0. _d 0) |
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ENDDO |
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ENDDO |
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#endif /* SEAICE_ITD */ |
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|
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C-- (2) treat the case of very thin ice: |
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|
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#ifdef SEAICE_ITD |
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C Here we risk that even though HEFF may be larger than siEps (=1e-5) |
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C HEFFITD can have classes with very small (< siEps) non-zero ice volume. |
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C We avoid applying the correction to each class because that leads to |
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C funny structures in the net heat and freshwater flux into the ocean. |
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C Let us keep our fingers crossed, that the model will be benign! |
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DO IT=1,SEAICE_multDim |
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DO J=1,sNy |
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DO I=1,sNx |
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IF (HEFF(I,J,bi,bj).LE.siEps) THEN |
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HEFFITD(I,J,IT,bi,bj) = 0. _d 0 |
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HSNOWITD(I,J,IT,bi,bj) = 0. _d 0 |
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ENDIF |
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ENDDO |
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ENDDO |
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ENDDO |
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#endif /* SEAICE_ITD */ |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO J=1,sNy |
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DO I=1,sNx |
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tmpscal1=0. _d 0 |
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tmpscal2=0. _d 0 |
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IF (HEFF(I,J,bi,bj).LE.siEps) THEN |
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tmpscal1=-HEFF(I,J,bi,bj) |
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tmpscal2=-HSNOW(I,J,bi,bj) |
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DO IT=1,SEAICE_multDim |
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TICES(I,J,IT,bi,bj)=celsius2K |
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ENDDO |
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ENDIF |
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HEFF(I,J,bi,bj)=HEFF(I,J,bi,bj)+tmpscal1 |
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HSNOW(I,J,bi,bj)=HSNOW(I,J,bi,bj)+tmpscal2 |
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d_HEFFbyNEG(I,J,bi,bj)=d_HEFFbyNEG(I,J,bi,bj)+tmpscal1 |
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d_HSNWbyNEG(I,J,bi,bj)=d_HSNWbyNEG(I,J,bi,bj)+tmpscal2 |
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ENDDO |
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ENDDO |
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|
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C-- (3) treat the case of area but no ice/snow: |
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|
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#ifdef SEAICE_ITD |
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DO IT=1,SEAICE_multDim |
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DO J=1,sNy |
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DO I=1,sNx |
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IF ( (HEFFITD(I,J,IT,bi,bj) .EQ.0. _d 0).AND. |
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& (HSNOWITD(I,J,IT,bi,bj).EQ.0. _d 0)) |
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& AREAITD(I,J,IT,bi,bj)=0. _d 0 |
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ENDDO |
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ENDDO |
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ENDDO |
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#else /* ndef SEAICE_ITD */ |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
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CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO J=1,sNy |
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DO I=1,sNx |
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IF ((HEFF(i,j,bi,bj).EQ.0. _d 0).AND. |
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& (HSNOW(i,j,bi,bj).EQ.0. _d 0)) AREA(I,J,bi,bj)=0. _d 0 |
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ENDDO |
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ENDDO |
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#endif /* SEAICE_ITD */ |
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|
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C-- (4) treat the case of very small area: |
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|
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#ifndef DISABLE_AREA_FLOOR |
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#ifdef SEAICE_ITD |
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recip_nitd = 1. _d 0 / float(SEAICE_multDim) |
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DO IT=1,SEAICE_multDim |
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DO J=1,sNy |
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DO I=1,sNx |
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IF ((HEFFITD(I,J,IT,bi,bj).GT.0).OR. |
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& (HSNOWITD(I,J,IT,bi,bj).GT.0)) THEN |
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C SEAICE_area_floor*SEAICE_multDim cannot be allowed to exceed 1 |
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C hence use SEAICE_area_floor devided by SEAICE_multDim |
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C (or install a warning in e.g. seaice_readparms.F) |
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AREAITD(I,J,IT,bi,bj)= |
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& MAX(AREAITD(I,J,IT,bi,bj),SEAICE_area_floor*recip_nitd) |
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ENDIF |
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ENDDO |
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ENDDO |
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ENDDO |
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#else /* ndef SEAICE_ITD */ |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE area(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO J=1,sNy |
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DO I=1,sNx |
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IF ((HEFF(i,j,bi,bj).GT.0).OR.(HSNOW(i,j,bi,bj).GT.0)) THEN |
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AREA(I,J,bi,bj)=MAX(AREA(I,J,bi,bj),SEAICE_area_floor) |
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ENDIF |
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ENDDO |
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ENDDO |
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#endif /* SEAICE_ITD */ |
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#endif /* DISABLE_AREA_FLOOR */ |
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|
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C (5) treat sea ice salinity pathological cases |
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#ifdef SEAICE_VARIABLE_SALINITY |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE hsalt(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
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CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO J=1,sNy |
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DO I=1,sNx |
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IF ( (HSALT(I,J,bi,bj) .LT. 0.0).OR. |
| 299 |
& (HEFF(I,J,bi,bj) .EQ. 0.0) ) THEN |
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saltFluxAdjust(I,J,bi,bj) = - HEFFM(I,J,bi,bj) * |
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& HSALT(I,J,bi,bj) * recip_deltaTtherm |
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HSALT(I,J,bi,bj) = 0.0 _d 0 |
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ENDIF |
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ENDDO |
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ENDDO |
| 306 |
#endif /* SEAICE_VARIABLE_SALINITY */ |
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|
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C ===================================================================== |
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C ========== PART 2: ridging algorithm =============================== |
| 310 |
C ===================================================================== |
| 311 |
|
| 312 |
C treat case of excessive ice cover, e.g., due to ridging: |
| 313 |
|
| 314 |
#ifdef SEAICE_ITD |
| 315 |
|
| 316 |
C catch up with item (2) that involves category sums AREA and HEFF |
| 317 |
DO J=1,sNy |
| 318 |
DO I=1,sNx |
| 319 |
tmpscal1itd(i,j) = 0. _d 0 |
| 320 |
tmpscal2itd(i,j) = 0. _d 0 |
| 321 |
tmpscal3itd(i,j) = 0. _d 0 |
| 322 |
ENDDO |
| 323 |
ENDDO |
| 324 |
DO IT=1,SEAICE_multDim |
| 325 |
DO J=1,sNy |
| 326 |
DO I=1,sNx |
| 327 |
C TICES was changed above (item 2), now update TICE as ice volume |
| 328 |
C weighted average of TICES |
| 329 |
tmpscal1itd(i,j)=tmpscal1itd(i,j) |
| 330 |
& + TICES(I,J,IT,bi,bj) * HEFFITD(I,J,IT,bi,bj) |
| 331 |
tmpscal2itd(i,j)=tmpscal2itd(i,j) + HEFFITD(I,J,IT,bi,bj) |
| 332 |
C also compute total of AREAITD for diagnostics and SItrArea |
| 333 |
tmpscal3itd(i,j)=tmpscal3itd(i,j) + AREAITD(I,J,IT,bi,bj) |
| 334 |
ENDDO |
| 335 |
ENDDO |
| 336 |
ENDDO |
| 337 |
DO J=1,sNy |
| 338 |
DO I=1,sNx |
| 339 |
C save pre-ridging ice concentration for diagnostics: |
| 340 |
C these lines are executed before "ridging" is applied to AREA |
| 341 |
C hence we execute them here before SEAICE_ITD_REDIST is called |
| 342 |
C although this means that AREA has not been completely regularized |
| 343 |
#ifdef ALLOW_DIAGNOSTICS |
| 344 |
DIAGarrayA(I,J) = tmpscal3itd(i,j) |
| 345 |
#endif |
| 346 |
#ifdef ALLOW_SITRACER |
| 347 |
SItrAREA(I,J,bi,bj,1)=tmpscal3itd(i,j) |
| 348 |
#endif |
| 349 |
ENDDO |
| 350 |
ENDDO |
| 351 |
C ridge ice according to Lipscomb et al. (2007), Bitz et al. (2001) |
| 352 |
C Thorndyke et al. (1975), Hibler (1980) |
| 353 |
CALL SEAICE_DO_RIDGING( bi, bj, myTime, myIter, myThid ) |
| 354 |
C check that all ice thickness categories meet their limits |
| 355 |
C (includes Hibler-type ridging) |
| 356 |
CALL SEAICE_ITD_REDIST( bi, bj, myTime, myIter, myThid ) |
| 357 |
C update mean thicknesses HEFF and HSNOW and total ice |
| 358 |
C concentration AREA to match single category values |
| 359 |
CALL SEAICE_ITD_SUM ( bi, bj, myTime, myIter, myThid ) |
| 360 |
|
| 361 |
#else /* ifndef SEAICE_ITD */ |
| 362 |
|
| 363 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 364 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
| 365 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 366 |
DO J=1,sNy |
| 367 |
DO I=1,sNx |
| 368 |
C save pre-ridging ice concentration for diagnostics |
| 369 |
#ifdef ALLOW_DIAGNOSTICS |
| 370 |
DIAGarrayA(I,J) = AREA(I,J,bi,bj) |
| 371 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 372 |
#ifdef ALLOW_SITRACER |
| 373 |
SItrAREA(I,J,bi,bj,1)=AREA(I,J,bi,bj) |
| 374 |
#endif /* ALLOW_SITRACER */ |
| 375 |
C this is the simple Hibler (1979)-type ridging (capping of |
| 376 |
C concentrations > 1) for the non-ITD sea ice model |
| 377 |
AREA(I,J,bi,bj)=MIN(AREA(I,J,bi,bj),SEAICE_area_max) |
| 378 |
ENDDO |
| 379 |
ENDDO |
| 380 |
|
| 381 |
#endif /* SEAICE_ITD */ |
| 382 |
|
| 383 |
#if (defined ALLOW_AUTODIFF_TAMC && defined SEAICE_MODIFY_GROWTH_ADJ) |
| 384 |
C end SEAICEadjMODE.EQ.0 statement: |
| 385 |
ENDIF |
| 386 |
#endif |
| 387 |
|
| 388 |
#ifdef ALLOW_DIAGNOSTICS |
| 389 |
IF ( useDiagnostics ) THEN |
| 390 |
CALL DIAGNOSTICS_FILL(DIAGarrayA,'SIareaPR',0,1,3,bi,bj,myThid) |
| 391 |
ENDIF |
| 392 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 393 |
|
| 394 |
C close bi,bj loops |
| 395 |
ENDDO |
| 396 |
ENDDO |
| 397 |
|
| 398 |
#endif /* ALLOW_SEAICE */ |
| 399 |
RETURN |
| 400 |
END |
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