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C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_growth.F,v 1.52 2009/02/13 21:59:17 heimbach Exp $ |
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C $Name: $ |
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|
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#include "SEAICE_OPTIONS.h" |
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|
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CStartOfInterface |
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SUBROUTINE SEAICE_GROWTH( myTime, myIter, myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE seaice_growth | |
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C | o Updata ice thickness and snow depth | |
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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 "DYNVARS.h" |
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#include "GRID.h" |
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#include "FFIELDS.h" |
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#include "SEAICE_PARAMS.h" |
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#include "SEAICE.h" |
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#ifdef ALLOW_EXF |
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# include "EXF_OPTIONS.h" |
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# include "EXF_FIELDS.h" |
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# include "EXF_PARAM.h" |
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#endif |
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#ifdef ALLOW_SALT_PLUME |
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# include "SALT_PLUME.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 |
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|
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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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CEndOfInterface |
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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 |
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C number of surface interface layer |
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INTEGER kSurface |
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C constants |
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_RL TBC, SDF, ICE2SNOW |
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_RL QI, recip_QI, QS, recip_QS |
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C auxillary variables |
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_RL snowEnergy |
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_RL growthHEFF, growthNeg |
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#ifdef ALLOW_SEAICE_FLOODING |
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_RL hDraft |
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#endif /* ALLOW_SEAICE_FLOODING */ |
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_RL availHeat (1:sNx,1:sNy) |
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_RL hEffOld (1:sNx,1:sNy) |
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_RL GAREA (1:sNx,1:sNy) |
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_RL GHEFF (1:sNx,1:sNy) |
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C RESID_HEAT is residual heat above freezing in equivalent m of ice |
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_RL RESID_HEAT (1:sNx,1:sNy) |
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#ifdef SEAICE_SALINITY |
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_RL saltFluxAdjust(1:sNx,1:sNy) |
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#endif |
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|
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C FICE - thermodynamic ice growth rate over sea ice in W/m^2 |
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C >0 causes ice growth, <0 causes snow and sea ice melt |
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C FHEFF - effective thermodynamic ice growth rate over sea ice in W/m^2 |
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C >0 causes ice growth, <0 causes snow and sea ice melt |
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C QNETO - thermodynamic ice growth rate over open water in W/m^2 |
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C ( = surface heat flux ) |
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C >0 causes ice growth, <0 causes snow and sea ice melt |
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C QNETI - net surface heat flux under ice in W/m^2 |
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C QSWO - short wave heat flux over ocean in W/m^2 |
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C QSWI - short wave heat flux under ice in W/m^2 |
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_RL FHEFF (1:sNx,1:sNy) |
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_RL FICE (1:sNx,1:sNy) |
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_RL QNETO (1:sNx,1:sNy) |
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_RL QNETI (1:sNx,1:sNy) |
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_RL QSWO (1:sNx,1:sNy) |
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_RL QSWI (1:sNx,1:sNy) |
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C |
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_RL HCORR (1:sNx,1:sNy) |
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C actual ice thickness with upper and lower limit |
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_RL HICE (1:sNx,1:sNy) |
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C actual snow thickness |
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_RL hSnwLoc (1:sNx,1:sNy) |
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C wind speed |
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_RL UG (1:sNx,1:sNy) |
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_RL SPEED_SQ |
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C local copy of AREA |
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_RL areaLoc |
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|
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#ifdef SEAICE_MULTICATEGORY |
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INTEGER it |
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INTEGER ilockey |
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_RL RK |
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_RL HICEP (1:sNx,1:sNy) |
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_RL FICEP (1:sNx,1:sNy) |
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_RL QSWIP (1:sNx,1:sNy) |
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#endif |
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|
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#ifdef ALLOW_DIAGNOSTICS |
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LOGICAL DIAGNOSTICS_IS_ON |
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EXTERNAL DIAGNOSTICS_IS_ON |
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#endif |
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|
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if ( buoyancyRelation .eq. 'OCEANICP' ) then |
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kSurface = Nr |
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else |
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kSurface = 1 |
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endif |
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|
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C FREEZING TEMP. OF SEA WATER (deg C) |
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TBC = SEAICE_freeze |
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C RATIO OF WATER DESITY TO SNOW DENSITY |
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SDF = 1000.0 _d 0/SEAICE_rhoSnow |
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C RATIO OF SEA ICE DENSITY to SNOW DENSITY |
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ICE2SNOW = SDF * ICE2WATR |
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C HEAT OF FUSION OF ICE (m^3/J) |
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QI = 302.0 _d +06 |
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recip_QI = 1.0 _d 0 / QI |
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C HEAT OF FUSION OF SNOW (J/m^3) |
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QS = 1.1 _d +08 |
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recip_QS = 1.1 _d 0 / QS |
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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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c |
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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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C |
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C initialise a few fields |
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C |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE area(:,:,:,bi,bj) = comlev1_bibj, |
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CADJ & key = iicekey, byte = isbyte |
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CADJ STORE qnet(:,:,bi,bj) = comlev1_bibj, |
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CADJ & key = iicekey, byte = isbyte |
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CADJ STORE qsw(:,:,bi,bj) = comlev1_bibj, |
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CADJ & 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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FHEFF(I,J) = 0.0 _d 0 |
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FICE (I,J) = 0.0 _d 0 |
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QNETO(I,J) = 0.0 _d 0 |
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QNETI(I,J) = 0.0 _d 0 |
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QSWO (I,J) = 0.0 _d 0 |
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QSWI (I,J) = 0.0 _d 0 |
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HCORR(I,J) = 0.0 _d 0 |
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RESID_HEAT(I,J) = 0.0 _d 0 |
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#ifdef SEAICE_SALINITY |
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saltFluxAdjust(I,J) = 0.0 _d 0 |
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#endif |
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#ifdef SEAICE_MULTICATEGORY |
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FICEP(I,J) = 0.0 _d 0 |
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QSWIP(I,J) = 0.0 _d 0 |
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#endif |
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ENDDO |
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ENDDO |
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DO J=1-oLy,sNy+oLy |
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DO I=1-oLx,sNx+oLx |
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saltWtrIce(I,J,bi,bj) = 0.0 _d 0 |
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frWtrIce(I,J,bi,bj) = 0.0 _d 0 |
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frWtrAtm(I,J,bi,bj) = 0.0 _d 0 |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE heff(:,:,:,bi,bj) = comlev1_bibj, |
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CADJ & key = iicekey, byte = isbyte |
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CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
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CADJ & 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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C COMPUTE ACTUAL ICE THICKNESS AND PUT MINIMUM/MAXIMUM |
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C ON ICE THICKNESS FOR BUDGET COMPUTATION |
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C The default of A22 = 0.15 is a common threshold for defining |
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C the ice edge. This ice concentration usually does not occur |
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C due to thermodynamics but due to advection. |
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areaLoc = MAX(A22,AREA(I,J,2,bi,bj)) |
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HICE(I,J) = HEFF(I,J,2,bi,bj)/areaLoc |
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C Do we know what this is for? |
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HICE(I,J) = MAX(HICE(I,J),0.05 _d +00) |
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C Capping the actual ice thickness effectively enforces a |
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C minimum of heat flux through the ice and helps getting rid of |
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C very thick ice. |
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cdm actually, this does exactly the opposite, i.e., ice is thicker |
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cdm when HICE is capped, so I am commenting out |
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cdm HICE(I,J) = MIN(HICE(I,J),9.0 _d +00) |
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hSnwLoc(I,J) = HSNOW(I,J,bi,bj)/areaLoc |
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ENDDO |
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ENDDO |
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|
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C NOW DETERMINE MIXED LAYER TEMPERATURE |
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DO J=1,sNy |
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DO I=1,sNx |
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TMIX(I,J,bi,bj)=theta(I,J,kSurface,bi,bj)+273.16 _d +00 |
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#ifdef SEAICE_DEBUG |
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TMIX(I,J,bi,bj)=MAX(TMIX(I,J,bi,bj),271.2 _d +00) |
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#endif |
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ENDDO |
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ENDDO |
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|
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C THERMAL WIND OF ATMOSPHERE |
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DO J=1,sNy |
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DO I=1,sNx |
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CMLC this seems to be more natural as we do compute the wind speed in |
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CMLC pkg/exf/exf_wind.F, but it changes the results |
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CML UG(I,J) = MAX(SEAICE_EPS,wspeed(I,J,bi,bj)) |
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SPEED_SQ = UWIND(I,J,bi,bj)**2 + VWIND(I,J,bi,bj)**2 |
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IF ( SPEED_SQ .LE. SEAICE_EPS_SQ ) THEN |
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UG(I,J)=SEAICE_EPS |
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ELSE |
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UG(I,J)=SQRT(SPEED_SQ) |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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cphCADJ STORE heff = comlev1, key = ikey_dynamics, byte = isbyte |
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cphCADJ STORE hsnow = comlev1, key = ikey_dynamics, byte = isbyte |
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cphCADJ STORE uwind = comlev1, key = ikey_dynamics, byte = isbyte |
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cphCADJ STORE vwind = comlev1, key = ikey_dynamics, byte = isbyte |
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c |
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CADJ STORE tice = comlev1, key = ikey_dynamics, byte = isbyte |
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# ifdef SEAICE_MULTICATEGORY |
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CADJ STORE tices = comlev1, key = ikey_dynamics, byte = isbyte |
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# endif |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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C NOW DETERMINE GROWTH RATES |
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C FIRST DO OPEN WATER |
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CALL SEAICE_BUDGET_OCEAN( |
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I UG, |
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U TMIX, |
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O QNETO, QSWO, |
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I bi, bj, myThid ) |
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|
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C NOW DO ICE |
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IF (useRelativeWind) THEN |
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C Compute relative wind speed over sea ice. |
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DO J=1,sNy |
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DO I=1,sNx |
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SPEED_SQ = |
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& (uWind(I,J,bi,bj) |
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& +0.5 _d 0*(uVel(i,j,1,bi,bj)+uVel(i+1,j,1,bi,bj)) |
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& -0.5 _d 0*(uice(i,j,1,bi,bj)+uice(i+1,j,1,bi,bj)))**2 |
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& +(vWind(I,J,bi,bj) |
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& +0.5 _d 0*(vVel(i,j,1,bi,bj)+vVel(i,j+1,1,bi,bj)) |
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& -0.5 _d 0*(vice(i,j,1,bi,bj)+vice(i,j+1,1,bi,bj)))**2 |
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IF ( SPEED_SQ .LE. SEAICE_EPS_SQ ) THEN |
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UG(I,J)=SEAICE_EPS |
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ELSE |
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UG(I,J)=SQRT(SPEED_SQ) |
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ENDIF |
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ENDDO |
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ENDDO |
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ENDIF |
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#ifdef SEAICE_MULTICATEGORY |
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C-- Start loop over muli-categories |
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DO IT=1,MULTDIM |
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#ifdef ALLOW_AUTODIFF_TAMC |
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ilockey = (iicekey-1)*MULTDIM + IT |
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CADJ STORE tices(:,:,it,bi,bj) = comlev1_multdim, |
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CADJ & key = ilockey, byte = isbyte |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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RK=REAL(IT) |
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DO J=1,sNy |
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DO I=1,sNx |
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HICEP(I,J)=(HICE(I,J)/MULTDIM)*((2.0 _d 0*RK)-1.0 _d 0) |
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TICE(I,J,bi,bj)=TICES(I,J,IT,bi,bj) |
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ENDDO |
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ENDDO |
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CALL SEAICE_BUDGET_ICE( |
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I UG, HICEP, hSnwLoc, |
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U TICE, |
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O FICEP, QSWIP, |
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I bi, bj, myThid ) |
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DO J=1,sNy |
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DO I=1,sNx |
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C average surface heat fluxes/growth rates |
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FICE (I,J) = FICE(I,J) + FICEP(I,J)/MULTDIM |
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QSWI (I,J) = QSWI(I,J) + QSWIP(I,J)/MULTDIM |
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TICES(I,J,IT,bi,bj) = TICE(I,J,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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C-- End loop over multi-categories |
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#else /* SEAICE_MULTICATEGORY */ |
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CALL SEAICE_BUDGET_ICE( |
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I UG, HICE, hSnwLoc, |
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U TICE, |
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O FICE, QSWI, |
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I bi, bj, myThid ) |
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#endif /* SEAICE_MULTICATEGORY */ |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE theta(:,:,:,bi,bj)= comlev1_bibj, |
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CADJ & key = iicekey, byte = isbyte |
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CADJ STORE heff(:,:,:,bi,bj) = comlev1_bibj, |
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CADJ & key = iicekey, byte = isbyte |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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C |
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C-- compute and apply ice growth due to oceanic heat flux from below |
| 321 |
C |
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DO J=1,sNy |
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DO I=1,sNx |
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C-- Create or melt sea-ice so that first-level oceanic temperature |
| 325 |
C is approximately at the freezing point when there is sea-ice. |
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C Initially the units of YNEG/availHeat are m of sea-ice. |
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C The factor dRf(1)/72.0764, used to convert temperature |
| 328 |
C change in deg K to m of sea-ice, is approximately: |
| 329 |
C dRf(1) * (sea water heat capacity = 3996 J/kg/K) |
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C * (density of sea-water = 1026 kg/m^3) |
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C / (latent heat of fusion of sea-ice = 334000 J/kg) |
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C / (density of sea-ice = 910 kg/m^3) |
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C Negative YNEG/availHeat leads to ice growth. |
| 334 |
C Positive YNEG/availHeat leads to ice melting. |
| 335 |
IF ( .NOT. inAdMode ) THEN |
| 336 |
#ifdef SEAICE_VARIABLE_FREEZING_POINT |
| 337 |
TBC = -0.0575 _d 0*salt(I,J,kSurface,bi,bj) + 0.0901 _d 0 |
| 338 |
#endif /* SEAICE_VARIABLE_FREEZING_POINT */ |
| 339 |
IF ( theta(I,J,kSurface,bi,bj) .GE. TBC ) THEN |
| 340 |
availHeat(i,j) = SEAICE_availHeatFrac |
| 341 |
& * (theta(I,J,kSurface,bi,bj)-TBC) * dRf(kSurface) |
| 342 |
& * hFacC(i,j,kSurface,bi,bj) / 72.0764 _d 0 |
| 343 |
ELSE |
| 344 |
availHeat(i,j) = SEAICE_availHeatFracFrz |
| 345 |
& * (theta(I,J,kSurface,bi,bj)-TBC) * dRf(kSurface) |
| 346 |
& * hFacC(i,j,kSurface,bi,bj) / 72.0764 _d 0 |
| 347 |
ENDIF |
| 348 |
ELSE |
| 349 |
availHeat(i,j) = 0. |
| 350 |
ENDIF |
| 351 |
C local copy of old effective ice thickness |
| 352 |
hEffOld(I,J) = HEFF(I,J,1,bi,bj) |
| 353 |
C Melt (availHeat>0) or create (availHeat<0) sea ice |
| 354 |
HEFF(I,J,1,bi,bj) = MAX(ZERO,HEFF(I,J,1,bi,bj)-availHeat(I,J)) |
| 355 |
C |
| 356 |
YNEG(I,J,bi,bj) = hEffOld(I,J) - HEFF(I,J,1,bi,bj) |
| 357 |
C |
| 358 |
saltWtrIce(I,J,bi,bj) = saltWtrIce(I,J,bi,bj) |
| 359 |
& - YNEG(I,J,bi,bj) |
| 360 |
RESID_HEAT(I,J) = availHeat(I,J) - YNEG(I,J,bi,bj) |
| 361 |
C YNEG now contains m of ice melted (>0) or created (<0) |
| 362 |
C saltWtrIce contains m of ice melted (<0) or created (>0) |
| 363 |
C RESID_HEAT is residual heat above freezing in equivalent m of ice |
| 364 |
ENDDO |
| 365 |
ENDDO |
| 366 |
|
| 367 |
cph( |
| 368 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 369 |
cphCADJ STORE heff = comlev1, key = ikey_dynamics, byte = isbyte |
| 370 |
cphCADJ STORE hsnow = comlev1, key = ikey_dynamics, byte = isbyte |
| 371 |
#endif |
| 372 |
cph) |
| 373 |
c |
| 374 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 375 |
CADJ STORE area(:,:,:,bi,bj) = comlev1_bibj, |
| 376 |
CADJ & key = iicekey, byte = isbyte |
| 377 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 378 |
CADJ & key = iicekey, byte = isbyte |
| 379 |
CADJ STORE fice(:,:) = comlev1_bibj, |
| 380 |
CADJ & key = iicekey, byte = isbyte |
| 381 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 382 |
cph) |
| 383 |
C |
| 384 |
C-- compute and apply ice growth due to atmospheric fluxes from above |
| 385 |
C |
| 386 |
DO J=1,sNy |
| 387 |
DO I=1,sNx |
| 388 |
C NOW CALCULATE CORRECTED effective growth in J/m^2 (>0=melt) |
| 389 |
GHEFF(I,J)=-SEAICE_deltaTtherm*FICE(I,J)*AREA(I,J,2,bi,bj) |
| 390 |
ENDDO |
| 391 |
ENDDO |
| 392 |
|
| 393 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 394 |
CADJ STORE fice(:,:) = comlev1_bibj, |
| 395 |
CADJ & key = iicekey, byte = isbyte |
| 396 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 397 |
|
| 398 |
DO J=1,sNy |
| 399 |
DO I=1,sNx |
| 400 |
IF(FICE(I,J).LT.ZERO.AND.AREA(I,J,2,bi,bj).GT.ZERO) THEN |
| 401 |
C use FICE to melt snow and CALCULATE CORRECTED GROWTH |
| 402 |
C effective snow thickness in J/m^2 |
| 403 |
snowEnergy=HSNOW(I,J,bi,bj)*QS |
| 404 |
IF(GHEFF(I,J).LE.snowEnergy) THEN |
| 405 |
C not enough heat to melt all snow; use up all heat flux FICE |
| 406 |
HSNOW(I,J,bi,bj)=HSNOW(I,J,bi,bj)-GHEFF(I,J)/QS |
| 407 |
C SNOW CONVERTED INTO WATER AND THEN INTO equivalent m of ICE melt |
| 408 |
C The factor 1/ICE2SNOW converts m of snow to m of sea-ice |
| 409 |
frWtrIce(I,J,bi,bj) = |
| 410 |
& frWtrIce(I,J,bi,bj) - GHEFF(I,J)/(QS*ICE2SNOW) |
| 411 |
FICE (I,J) = ZERO |
| 412 |
ELSE |
| 413 |
C enought heat to melt snow completely; |
| 414 |
C compute remaining heat flux that will melt ice |
| 415 |
FICE(I,J)=-(GHEFF(I,J)-snowEnergy)/ |
| 416 |
& SEAICE_deltaTtherm/AREA(I,J,2,bi,bj) |
| 417 |
C convert all snow to melt water (fresh water flux) |
| 418 |
frWtrIce(I,J,bi,bj) = frWtrIce(I,J,bi,bj) |
| 419 |
& -HSNOW(I,J,bi,bj)/ICE2SNOW |
| 420 |
HSNOW(I,J,bi,bj)=0.0 _d 0 |
| 421 |
END IF |
| 422 |
END IF |
| 423 |
ENDDO |
| 424 |
ENDDO |
| 425 |
|
| 426 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 427 |
CADJ STORE fice(:,:) = comlev1_bibj, |
| 428 |
CADJ & key = iicekey, byte = isbyte |
| 429 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 430 |
|
| 431 |
DO J=1,sNy |
| 432 |
DO I=1,sNx |
| 433 |
C now get cell averaged growth rate in W/m^2, >0 causes ice growth |
| 434 |
FHEFF(I,J)= FICE(I,J) * AREA(I,J,2,bi,bj) |
| 435 |
& + QNETO(I,J) * (ONE-AREA(I,J,2,bi,bj)) |
| 436 |
ENDDO |
| 437 |
ENDDO |
| 438 |
cph( |
| 439 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 440 |
CADJ STORE heff(:,:,:,bi,bj) = comlev1_bibj, |
| 441 |
CADJ & key = iicekey, byte = isbyte |
| 442 |
CADJ STORE fice(:,:) = comlev1_bibj, |
| 443 |
CADJ & key = iicekey, byte = isbyte |
| 444 |
CADJ STORE fheff(:,:) = comlev1_bibj, |
| 445 |
CADJ & key = iicekey, byte = isbyte |
| 446 |
CADJ STORE qneto(:,:) = comlev1_bibj, |
| 447 |
CADJ & key = iicekey, byte = isbyte |
| 448 |
CADJ STORE qswi(:,:) = comlev1_bibj, |
| 449 |
CADJ & key = iicekey, byte = isbyte |
| 450 |
CADJ STORE qswo(:,:) = comlev1_bibj, |
| 451 |
CADJ & key = iicekey, byte = isbyte |
| 452 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 453 |
cph) |
| 454 |
C |
| 455 |
C First update (freeze or melt) ice area |
| 456 |
C |
| 457 |
DO J=1,sNy |
| 458 |
DO I=1,sNx |
| 459 |
C negative growth in meters of ice (>0 for melting) |
| 460 |
growthNeg = -SEAICE_deltaTtherm*FHEFF(I,J)*recip_QI |
| 461 |
C negative growth must not exceed effective ice thickness (=volume) |
| 462 |
C (that is, cannot melt more than all the ice) |
| 463 |
growthHEFF = -ONE*MIN(HEFF(I,J,1,bi,bj),growthNeg) |
| 464 |
C growthHEFF < 0 means melting |
| 465 |
HCORR(I,J) = MIN(ZERO,growthHEFF) |
| 466 |
C gain of new effective ice thickness over open water (>0 by definition) |
| 467 |
GAREA(I,J) = MAX(ZERO,SEAICE_deltaTtherm*QNETO(I,J)*recip_QI) |
| 468 |
CML removed these loops and moved TAMC store directive up |
| 469 |
CML ENDDO |
| 470 |
CML ENDDO |
| 471 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 472 |
CMLCADJ STORE area(:,:,:,bi,bj) = comlev1_bibj, |
| 473 |
CMLCADJ & key = iicekey, byte = isbyte |
| 474 |
CML#endif |
| 475 |
CML DO J=1,sNy |
| 476 |
CML DO I=1,sNx |
| 477 |
C Here we finally compute the new AREA |
| 478 |
AREA(I,J,1,bi,bj)=AREA(I,J,1,bi,bj)+ |
| 479 |
& (ONE-AREA(I,J,2,bi,bj))*GAREA(I,J)/HO |
| 480 |
& +HALF*HCORR(I,J)*AREA(I,J,2,bi,bj) |
| 481 |
& /(HEFF(I,J,1,bi,bj)+.00001 _d 0) |
| 482 |
ENDDO |
| 483 |
ENDDO |
| 484 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 485 |
CADJ STORE area(:,:,:,bi,bj) = comlev1_bibj, |
| 486 |
CADJ & key = iicekey, byte = isbyte |
| 487 |
#endif |
| 488 |
C |
| 489 |
C now update (freeze or melt) HEFF |
| 490 |
C |
| 491 |
DO J=1,sNy |
| 492 |
DO I=1,sNx |
| 493 |
C negative growth (>0 for melting) of existing ice in meters |
| 494 |
growthNeg = -SEAICE_deltaTtherm* |
| 495 |
& FICE(I,J)*recip_QI*AREA(I,J,2,bi,bj) |
| 496 |
C negative growth must not exceed effective ice thickness (=volume) |
| 497 |
C (that is, cannot melt more than all the ice) |
| 498 |
growthHEFF = -ONE*MIN(HEFF(I,J,1,bi,bj),growthNeg) |
| 499 |
C growthHEFF < 0 means melting |
| 500 |
HEFF(I,J,1,bi,bj)= HEFF(I,J,1,bi,bj) + growthHEFF |
| 501 |
C add effective growth to fresh water of ice |
| 502 |
saltWtrIce(I,J,bi,bj) = saltWtrIce(I,J,bi,bj) + growthHEFF |
| 503 |
|
| 504 |
C now calculate QNETI under ice (if any) as the difference between |
| 505 |
C the available "heat flux" growthNeg and the actual growthHEFF; |
| 506 |
C keep in mind that growthNeg and growthHEFF have different signs |
| 507 |
C by construction |
| 508 |
QNETI(I,J) = (growthHEFF + growthNeg)*QI/SEAICE_deltaTtherm |
| 509 |
|
| 510 |
C now update other things |
| 511 |
|
| 512 |
#ifdef ALLOW_ATM_TEMP |
| 513 |
IF(FICE(I,J).GT.ZERO) THEN |
| 514 |
C freezing, add precip as snow |
| 515 |
HSNOW(I,J,bi,bj) = HSNOW(I,J,bi,bj)+SEAICE_deltaTtherm* |
| 516 |
& PRECIP(I,J,bi,bj)*AREA(I,J,2,bi,bj)*SDF |
| 517 |
ELSE |
| 518 |
C add precip as rain, water converted into equivalent m of |
| 519 |
C ice by 1/ICE2WATR. |
| 520 |
C Do not get confused by the sign: |
| 521 |
C precip > 0 for downward flux of fresh water |
| 522 |
C frWtrIce > 0 for more ice (corresponds to an upward "fresh water flux"), |
| 523 |
C so that here the rain is added *as if* it is melted ice (which is not |
| 524 |
C true, but just a trick; physically the rain just runs as water |
| 525 |
C through the ice into the ocean) |
| 526 |
frWtrIce(I,J,bi,bj) = frWtrIce(I,J,bi,bj) |
| 527 |
& -PRECIP(I,J,bi,bj)*AREA(I,J,2,bi,bj)* |
| 528 |
& SEAICE_deltaTtherm/ICE2WATR |
| 529 |
ENDIF |
| 530 |
#else /* ALLOW_ATM_TEMP */ |
| 531 |
STOP 'ABNORMAL END: S/R THSICE_GROWTH: ATM_TEMP undef' |
| 532 |
#endif /* ALLOW_ATM_TEMP */ |
| 533 |
|
| 534 |
ENDDO |
| 535 |
ENDDO |
| 536 |
|
| 537 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 538 |
cphCADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 539 |
cphCADJ & key = iicekey, byte = isbyte |
| 540 |
#endif |
| 541 |
|
| 542 |
cph( very sensitive bit here by JZ |
| 543 |
#ifndef SEAICE_EXCLUDE_FOR_EXACT_AD_TESTING |
| 544 |
DO J=1,sNy |
| 545 |
DO I=1,sNx |
| 546 |
C Now melt snow if there is residual heat left in surface level |
| 547 |
C Note that units of YNEG and frWtrIce are m of ice |
| 548 |
IF( RESID_HEAT(I,J) .GT. ZERO .AND. |
| 549 |
& HSNOW(I,J,bi,bj) .GT. ZERO ) THEN |
| 550 |
GHEFF(I,J) = MIN( HSNOW(I,J,bi,bj)/SDF/ICE2WATR, |
| 551 |
& RESID_HEAT(I,J) ) |
| 552 |
YNEG(I,J,bi,bj) = YNEG(I,J,bi,bj) +GHEFF(I,J) |
| 553 |
ENDIF |
| 554 |
ENDDO |
| 555 |
ENDDO |
| 556 |
|
| 557 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 558 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 559 |
CADJ & key = iicekey, byte = isbyte |
| 560 |
CADJ STORE area(:,:,:,bi,bj) = comlev1_bibj, |
| 561 |
CADJ & key = iicekey, byte = isbyte |
| 562 |
#endif |
| 563 |
DO J=1,sNy |
| 564 |
DO I=1,sNx |
| 565 |
IF( RESID_HEAT(I,J) .GT. ZERO .AND. |
| 566 |
& HSNOW(I,J,bi,bj) .GT. ZERO ) THEN |
| 567 |
HSNOW(I,J,bi,bj) = HSNOW(I,J,bi,bj)-GHEFF(I,J)*SDF*ICE2WATR |
| 568 |
frWtrIce(I,J,bi,bj) = frWtrIce(I,J,bi,bj)-GHEFF(I,J) |
| 569 |
ENDIF |
| 570 |
ENDDO |
| 571 |
ENDDO |
| 572 |
#endif |
| 573 |
cph) |
| 574 |
|
| 575 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 576 |
CADJ STORE area(:,:,:,bi,bj) = comlev1_bibj, |
| 577 |
CADJ & key = iicekey, byte = isbyte |
| 578 |
# ifdef SEAICE_SALINITY |
| 579 |
CADJ STORE hsalt(:,:,bi,bj) = comlev1_bibj, |
| 580 |
CADJ & key = iicekey, byte = isbyte |
| 581 |
# endif /* SEAICE_SALINITY */ |
| 582 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 583 |
|
| 584 |
#ifdef ALLOW_ATM_TEMP |
| 585 |
DO J=1,sNy |
| 586 |
DO I=1,sNx |
| 587 |
|
| 588 |
C NOW GET FRESH WATER FLUX |
| 589 |
EmPmR(I,J,bi,bj) = maskC(I,J,kSurface,bi,bj)*( |
| 590 |
& ( EVAP(I,J,bi,bj)-PRECIP(I,J,bi,bj) ) |
| 591 |
& * ( ONE - AREA(I,J,2,bi,bj) ) |
| 592 |
#ifdef ALLOW_RUNOFF |
| 593 |
& - RUNOFF(I,J,bi,bj) |
| 594 |
#endif /* ALLOW_RUNOFF */ |
| 595 |
& + frWtrIce(I,J,bi,bj)*ICE2WATR/SEAICE_deltaTtherm |
| 596 |
& + saltWtrIce(I,J,bi,bj)*ICE2WATR/SEAICE_deltaTtherm |
| 597 |
& )*rhoConstFresh |
| 598 |
#ifdef ALLOW_DIAGNOSTICS |
| 599 |
frWtrAtm(I,J,bi,bj) = maskC(I,J,kSurface,bi,bj)*( |
| 600 |
& PRECIP(I,J,bi,bj) |
| 601 |
& - EVAP(I,J,bi,bj) |
| 602 |
& *( ONE - AREA(I,J,2,bi,bj) ) |
| 603 |
& + RUNOFF(I,J,bi,bj) |
| 604 |
& )*rhoConstFresh |
| 605 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 606 |
|
| 607 |
ENDDO |
| 608 |
ENDDO |
| 609 |
|
| 610 |
C COMPUTE SURFACE SALT FLUX AND ADJUST ICE SALINITY |
| 611 |
|
| 612 |
#ifdef SEAICE_SALINITY |
| 613 |
|
| 614 |
DO J=1,sNy |
| 615 |
DO I=1,sNx |
| 616 |
C set HSALT = 0 if HSALT < 0 and compute salt to remove from ocean |
| 617 |
IF ( HSALT(I,J,bi,bj) .LT. 0.0 ) THEN |
| 618 |
saltFluxAdjust(I,J) = - HEFFM(I,J,bi,bj) * |
| 619 |
& HSALT(I,J,bi,bj) / SEAICE_deltaTtherm |
| 620 |
HSALT(I,J,bi,bj) = 0.0 _d 0 |
| 621 |
ENDIF |
| 622 |
ENDDO |
| 623 |
ENDDO |
| 624 |
|
| 625 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 626 |
CADJ STORE hsalt(:,:,bi,bj) = comlev1_bibj, |
| 627 |
CADJ & key = iicekey, byte = isbyte |
| 628 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 629 |
|
| 630 |
DO J=1,sNy |
| 631 |
DO I=1,sNx |
| 632 |
C saltWtrIce > 0 : m of sea ice that is created |
| 633 |
IF ( saltWtrIce(I,J,bi,bj) .GE. 0.0 ) THEN |
| 634 |
saltFlux(I,J,bi,bj) = |
| 635 |
& HEFFM(I,J,bi,bj)*saltWtrIce(I,J,bi,bj)* |
| 636 |
& ICE2WATR*rhoConstFresh*SEAICE_salinity* |
| 637 |
& salt(I,j,kSurface,bi,bj)/SEAICE_deltaTtherm |
| 638 |
#ifdef ALLOW_SALT_PLUME |
| 639 |
C saltPlumeFlux is defined only during freezing: |
| 640 |
saltPlumeFlux(I,J,bi,bj)= |
| 641 |
& HEFFM(I,J,bi,bj)*saltWtrIce(I,J,bi,bj)* |
| 642 |
& ICE2WATR*rhoConstFresh*(1-SEAICE_salinity)* |
| 643 |
& salt(I,j,kSurface,bi,bj)/SEAICE_deltaTtherm |
| 644 |
#endif /* ALLOW_SALT_PLUME */ |
| 645 |
C saltWtrIce < 0 : m of sea ice that is melted |
| 646 |
ELSE |
| 647 |
saltFlux(I,J,bi,bj) = |
| 648 |
& HEFFM(I,J,bi,bj)*saltWtrIce(I,J,bi,bj)* |
| 649 |
& HSALT(I,J,bi,bj)/ |
| 650 |
& (HEFF(I,J,1,bi,bj)-saltWtrIce(I,J,bi,bj))/ |
| 651 |
& SEAICE_deltaTtherm |
| 652 |
#ifdef ALLOW_SALT_PLUME |
| 653 |
saltPlumeFlux(i,j,bi,bj) = 0.0 _d 0 |
| 654 |
#endif /* ALLOW_SALT_PLUME */ |
| 655 |
ENDIF |
| 656 |
C update HSALT based on surface saltFlux |
| 657 |
HSALT(I,J,bi,bj) = HSALT(I,J,bi,bj) + |
| 658 |
& saltFlux(I,J,bi,bj) * SEAICE_deltaTtherm |
| 659 |
saltFlux(I,J,bi,bj) = |
| 660 |
& saltFlux(I,J,bi,bj) + saltFluxAdjust(I,J) |
| 661 |
C set HSALT = 0 if HEFF = 0 and compute salt to dump into ocean |
| 662 |
IF ( HEFF(I,J,1,bi,bj) .EQ. 0.0 ) THEN |
| 663 |
saltFlux(I,J,bi,bj) = saltFlux(I,J,bi,bj) - |
| 664 |
& HEFFM(I,J,bi,bj) * HSALT(I,J,bi,bj) / |
| 665 |
& SEAICE_deltaTtherm |
| 666 |
HSALT(I,J,bi,bj) = 0.0 _d 0 |
| 667 |
#ifdef ALLOW_SALT_PLUME |
| 668 |
saltPlumeFlux(i,j,bi,bj) = 0.0 _d 0 |
| 669 |
#endif /* ALLOW_SALT_PLUME */ |
| 670 |
ENDIF |
| 671 |
ENDDO |
| 672 |
ENDDO |
| 673 |
|
| 674 |
#endif /* SEAICE_SALINITY */ |
| 675 |
|
| 676 |
#else /* ALLOW_ATM_TEMP */ |
| 677 |
STOP 'ABNORMAL END: S/R THSICE_GROWTH: ATM_TEMP undef' |
| 678 |
#endif /* ALLOW_ATM_TEMP */ |
| 679 |
|
| 680 |
DO J=1,sNy |
| 681 |
DO I=1,sNx |
| 682 |
C NOW GET TOTAL QNET AND QSW |
| 683 |
QNET(I,J,bi,bj) = QNETI(I,J) * AREA(I,J,2,bi,bj) |
| 684 |
& +QNETO(I,J) * (ONE-AREA(I,J,2,bi,bj)) |
| 685 |
QSW(I,J,bi,bj) = QSWI(I,J) * AREA(I,J,2,bi,bj) |
| 686 |
& +QSWO(I,J) * (ONE-AREA(I,J,2,bi,bj)) |
| 687 |
ENDDO |
| 688 |
ENDDO |
| 689 |
|
| 690 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 691 |
cphCADJ STORE yneg(:,:,bi,bj) = comlev1_bibj, |
| 692 |
cphCADJ & key = iicekey, byte = isbyte |
| 693 |
#endif |
| 694 |
DO J=1,sNy |
| 695 |
DO I=1,sNx |
| 696 |
C Now convert YNEG back to deg K. |
| 697 |
YNEG(I,J,bi,bj) = YNEG(I,J,bi,bj)*recip_dRf(kSurface) * |
| 698 |
& recip_hFacC(i,j,kSurface,bi,bj)*72.0764 _d 0 |
| 699 |
ENDDO |
| 700 |
ENDDO |
| 701 |
|
| 702 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 703 |
CADJ STORE yneg(:,:,bi,bj) = comlev1_bibj, |
| 704 |
CADJ & key = iicekey, byte = isbyte |
| 705 |
#endif |
| 706 |
DO J=1,sNy |
| 707 |
DO I=1,sNx |
| 708 |
C Add YNEG contribution to QNET |
| 709 |
QNET(I,J,bi,bj) = QNET(I,J,bi,bj) |
| 710 |
& +YNEG(I,J,bi,bj)/SEAICE_deltaTtherm |
| 711 |
& *maskC(I,J,kSurface,bi,bj) |
| 712 |
& *HeatCapacity_Cp*rUnit2mass |
| 713 |
& *drF(kSurface)*hFacC(i,j,kSurface,bi,bj) |
| 714 |
ENDDO |
| 715 |
ENDDO |
| 716 |
|
| 717 |
#ifdef SEAICE_DEBUG |
| 718 |
CALL PLOT_FIELD_XYRL( QSW,'Current QSW ', myIter, myThid ) |
| 719 |
CALL PLOT_FIELD_XYRL( QNET,'Current QNET ', myIter, myThid ) |
| 720 |
CALL PLOT_FIELD_XYRL( EmPmR,'Current EmPmR ', myIter, myThid ) |
| 721 |
#endif /* SEAICE_DEBUG */ |
| 722 |
|
| 723 |
crg Added by Ralf Giering: do we need DO_WE_NEED_THIS ? |
| 724 |
#define DO_WE_NEED_THIS |
| 725 |
C NOW ZERO OUTSIDE POINTS |
| 726 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 727 |
CADJ STORE area(:,:,:,bi,bj) = comlev1_bibj, |
| 728 |
CADJ & key = iicekey, byte = isbyte |
| 729 |
CADJ STORE heff(:,:,:,bi,bj) = comlev1_bibj, |
| 730 |
CADJ & key = iicekey, byte = isbyte |
| 731 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 732 |
DO J=1,sNy |
| 733 |
DO I=1,sNx |
| 734 |
C NOW SET AREA(I,J,1,bi,bj)=0 WHERE NO ICE IS |
| 735 |
AREA(I,J,1,bi,bj)=MIN(AREA(I,J,1,bi,bj) |
| 736 |
& ,HEFF(I,J,1,bi,bj)/.0001 _d 0) |
| 737 |
ENDDO |
| 738 |
ENDDO |
| 739 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 740 |
CADJ STORE area(:,:,:,bi,bj) = comlev1_bibj, |
| 741 |
CADJ & key = iicekey, byte = isbyte |
| 742 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 743 |
DO J=1,sNy |
| 744 |
DO I=1,sNx |
| 745 |
C NOW TRUNCATE AREA |
| 746 |
#ifdef DO_WE_NEED_THIS |
| 747 |
AREA(I,J,1,bi,bj)=MIN(ONE,AREA(I,J,1,bi,bj)) |
| 748 |
ENDDO |
| 749 |
ENDDO |
| 750 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 751 |
CADJ STORE area(:,:,:,bi,bj) = comlev1_bibj, |
| 752 |
CADJ & key = iicekey, byte = isbyte |
| 753 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 754 |
CADJ & key = iicekey, byte = isbyte |
| 755 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 756 |
DO J=1,sNy |
| 757 |
DO I=1,sNx |
| 758 |
AREA(I,J,1,bi,bj) = MAX(ZERO,AREA(I,J,1,bi,bj)) |
| 759 |
HSNOW(I,J,bi,bj) = MAX(ZERO,HSNOW(I,J,bi,bj)) |
| 760 |
#endif /* DO_WE_NEED_THIS */ |
| 761 |
AREA(I,J,1,bi,bj) = AREA(I,J,1,bi,bj)*HEFFM(I,J,bi,bj) |
| 762 |
HEFF(I,J,1,bi,bj) = HEFF(I,J,1,bi,bj)*HEFFM(I,J,bi,bj) |
| 763 |
#ifdef SEAICE_CAP_HEFF |
| 764 |
HEFF(I,J,1,bi,bj)=MIN(MAX_HEFF,HEFF(I,J,1,bi,bj)) |
| 765 |
#endif /* SEAICE_CAP_HEFF */ |
| 766 |
HSNOW(I,J,bi,bj) = HSNOW(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
| 767 |
ENDDO |
| 768 |
ENDDO |
| 769 |
|
| 770 |
#ifdef ALLOW_DIAGNOSTICS |
| 771 |
IF ( useDiagnostics ) THEN |
| 772 |
IF ( DIAGNOSTICS_IS_ON('SIthdgrh',myThid) ) THEN |
| 773 |
C use (abuse) GHEFF to diagnose the total thermodynamic growth rate |
| 774 |
DO J=1,sNy |
| 775 |
DO I=1,sNx |
| 776 |
GHEFF(I,J) = (HEFF(I,J,1,bi,bj)-HEFF(I,J,2,bi,bj)) |
| 777 |
& /SEAICE_deltaTtherm |
| 778 |
ENDDO |
| 779 |
ENDDO |
| 780 |
CALL DIAGNOSTICS_FILL(GHEFF,'SIthdgrh',0,1,3,bi,bj,myThid) |
| 781 |
ENDIF |
| 782 |
ENDIF |
| 783 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 784 |
|
| 785 |
#ifdef ALLOW_SEAICE_FLOODING |
| 786 |
IF ( SEAICEuseFlooding ) THEN |
| 787 |
C convert snow to ice if submerged |
| 788 |
DO J=1,sNy |
| 789 |
DO I=1,sNx |
| 790 |
hDraft = (HSNOW(I,J,bi,bj)*330. _d 0 |
| 791 |
& +HEFF(I,J,1,bi,bj)*SEAICE_rhoIce)/1000. _d 0 |
| 792 |
C here GEFF is the gain of ice due to flooding |
| 793 |
GHEFF(I,J) = hDraft - MIN(hDraft,HEFF(I,J,1,bi,bj)) |
| 794 |
HEFF(I,J,1,bi,bj) = HEFF(I,J,1,bi,bj) + GHEFF(I,J) |
| 795 |
HSNOW(I,J,bi,bj) = MAX(0. _d 0, |
| 796 |
& HSNOW(I,J,bi,bj)-GHEFF(I,J)*ICE2SNOW) |
| 797 |
ENDDO |
| 798 |
ENDDO |
| 799 |
#ifdef ALLOW_DIAGNOSTICS |
| 800 |
IF ( useDiagnostics ) THEN |
| 801 |
IF ( DIAGNOSTICS_IS_ON('SIsnwice',myThid) ) THEN |
| 802 |
C turn GHEFF into a rate |
| 803 |
DO J=1,sNy |
| 804 |
DO I=1,sNx |
| 805 |
GHEFF(I,J) = GHEFF(I,J)/SEAICE_deltaTtherm |
| 806 |
ENDDO |
| 807 |
ENDDO |
| 808 |
CALL DIAGNOSTICS_FILL(GHEFF,'SIsnwice',0,1,3,bi,bj,myThid) |
| 809 |
ENDIF |
| 810 |
ENDIF |
| 811 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 812 |
ENDIF |
| 813 |
#endif /* ALLOW_SEAICE_FLOODING */ |
| 814 |
|
| 815 |
IF ( useRealFreshWaterFlux ) THEN |
| 816 |
DO J=1,sNy |
| 817 |
DO I=1,sNx |
| 818 |
sIceLoad(i,j,bi,bj) = HEFF(I,J,1,bi,bj)*SEAICE_rhoIce |
| 819 |
& + HSNOW(I,J,bi,bj)* 330. _d 0 |
| 820 |
ENDDO |
| 821 |
ENDDO |
| 822 |
ENDIF |
| 823 |
|
| 824 |
#ifdef SEAICE_AGE |
| 825 |
C Sources and sinks for sea ice age |
| 826 |
DO J=1,sNy |
| 827 |
DO I=1,sNx |
| 828 |
IF ( AREA(I,J,1,bi,bj) .GT. 0.15 ) THEN |
| 829 |
IceAge(i,j,bi,bj) = IceAge(i,j,bi,bj) + |
| 830 |
& AREA(I,J,1,bi,bj) * SEAICE_deltaTtherm |
| 831 |
ELSE |
| 832 |
IceAge(i,j,bi,bj) = ZERO |
| 833 |
ENDIF |
| 834 |
ENDDO |
| 835 |
ENDDO |
| 836 |
#endif |
| 837 |
|
| 838 |
ENDDO |
| 839 |
ENDDO |
| 840 |
|
| 841 |
RETURN |
| 842 |
END |
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