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jmc |
1.16 |
C $Header: /u/gcmpack/MITgcm/pkg/thsice/thsice_calc_thickn.F,v 1.15 2008/04/11 21:31:14 dfer Exp $ |
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jmc |
1.1 |
C $Name: $ |
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#include "THSICE_OPTIONS.h" |
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CBOP |
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C !ROUTINE: THSICE_CALC_THICKN |
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C !INTERFACE: |
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SUBROUTINE THSICE_CALC_THICKN( |
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jmc |
1.6 |
I bi, bj, siLo, siHi, sjLo, sjHi, |
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I iMin,iMax, jMin,jMax, dBugFlag, |
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I iceMask, tFrz, tOce, v2oc, |
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I snowP, prcAtm, sHeat, flxCnB, |
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U icFrac, hIce, hSnow, tSrf, qIc1, qIc2, |
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U frwAtm, fzMlOc, flx2oc, |
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O frw2oc, fsalt, |
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I myTime, myIter, myThid ) |
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jmc |
1.1 |
C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | S/R THSICE_CALC_THICKN |
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C | o Calculate ice & snow thickness changes |
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C *==========================================================* |
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C \ev |
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jmc |
1.6 |
C ADAPTED FROM: |
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C LANL CICE.v2.0.2 |
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C----------------------------------------------------------------------- |
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C.. thermodynamics (vertical physics) based on M. Winton 3-layer model |
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C.. See Bitz, C. M. and W. H. Lipscomb, 1999: "An energy-conserving |
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C.. thermodynamic sea ice model for climate study." J. Geophys. |
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C.. Res., 104, 15669 - 15677. |
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C.. Winton, M., 1999: "A reformulated three-layer sea ice model." |
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C.. Submitted to J. Atmos. Ocean. Technol. |
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C.. authors Elizabeth C. Hunke and William Lipscomb |
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C.. Fluid Dynamics Group, Los Alamos National Laboratory |
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C----------------------------------------------------------------------- |
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Cc****subroutine thermo_winton(n,fice,fsnow,dqice,dTsfc) |
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C.. Compute temperature change using Winton model with 2 ice layers, of |
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C.. which only the top layer has a variable heat capacity. |
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jmc |
1.1 |
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jmc |
1.9 |
C--------------------------------- |
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C parameters that control the partitioning between lateral (ice area) and |
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C vertical (ice thickness) ice volume changes. |
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jmc |
1.13 |
C a) surface melting and bottom melting (runtime parameter: fracEnMelt): |
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jmc |
1.9 |
C frace is the fraction of available heat that is used for |
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C lateral melting (and 1-frace reduces the thickness ) when |
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jmc |
1.13 |
C o hi < hThinIce & frac > lowIcFrac2 : frace=1 (lateral melting only) |
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C o hThinIce < hi < hThickIce & frac > lowIcFrac1 : frace=fracEnMelt |
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C o hi > hThickIce or frac < lowIcFrac1 : frace=0 (thinning only) |
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jmc |
1.9 |
C b) ocean freezing (and ice forming): |
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jmc |
1.13 |
C - conductive heat flux (below sea-ice) always increases thickness. |
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C - under sea-ice, freezing potential (x iceFraction) is used to increase ice |
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C thickness or ice fraction (lateral growth), according to: |
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C o hi < hThinIce : use freezing potential to grow ice vertically; |
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C o hThinIce < hi < hThickIce : use partition factor fracEnFreez for lateral growth |
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c and (1-fracEnFreez) to increase thickness. |
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C o hi > hThickIce : use all freezing potential to grow ice laterally |
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C (up to areaMax) |
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C - over open ocean, use freezing potential [x(1-iceFraction)] to grow ice laterally |
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C - lateral growth forms ice of the same or =hNewIceMax thickness, the less of the 2. |
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C - starts to form sea-ice over fraction iceMaskMin, as minimum ice-volume is reached |
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jmc |
1.9 |
C--------------------------------- |
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jmc |
1.1 |
C !USES: |
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IMPLICIT NONE |
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C == Global variables === |
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jmc |
1.4 |
#include "EEPARAMS.h" |
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jmc |
1.1 |
#include "THSICE_SIZE.h" |
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#include "THSICE_PARAMS.h" |
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heimbach |
1.7 |
#ifdef ALLOW_AUTODIFF_TAMC |
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# include "SIZE.h" |
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# include "tamc.h" |
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# include "tamc_keys.h" |
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#endif |
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jmc |
1.1 |
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine Arguments == |
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jmc |
1.6 |
C siLo,siHi :: size of input/output array: 1rst dim. lower,higher bounds |
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C sjLo,sjHi :: size of input/output array: 2nd dim. lower,higher bounds |
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C bi,bj :: tile indices |
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C iMin,iMax :: computation domain: 1rst index range |
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C jMin,jMax :: computation domain: 2nd index range |
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C dBugFlag :: allow to print debugging stuff (e.g. on 1 grid point). |
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C--- Input: |
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C iceMask :: sea-ice fractional mask [0-1] |
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C tFrz (Tf) :: sea-water freezing temperature [oC] (function of S) |
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C tOce (oceTs) :: surface level oceanic temperature [oC] |
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C v2oc (oceV2s) :: square of ocean surface-level velocity [m2/s2] |
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C snowP (snowPr) :: snow precipitation [kg/m2/s] |
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C prcAtm (=) :: total precip from the atmosphere [kg/m2/s] |
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C sHeat(sHeating):: surf heating flux left to melt snow or ice (= Atmos-conduction) |
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C flxCnB (=) :: heat flux conducted through the ice to bottom surface |
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C--- Modified (input&output): |
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C icFrac(iceFrac):: fraction of grid area covered in ice |
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C hIce (hi) :: ice height [m] |
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C hSnow (hs) :: snow height [m] |
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C tSrf (Tsf) :: surface (ice or snow) temperature |
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C qIc1 (qicen) :: ice enthalpy (J/kg), 1rst level |
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C qIc2 (qicen) :: ice enthalpy (J/kg), 2nd level |
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C frwAtm (evpAtm):: evaporation to the atmosphere [kg/m2/s] (>0 if evaporate) |
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C fzMlOc (frzmlt):: ocean mixed-layer freezing/melting potential [W/m2] |
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C flx2oc (qleft) :: net heat flux to ocean [W/m2] (> 0 downward) |
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C--- Output |
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C frw2oc (fresh) :: Total fresh water flux to ocean [kg/m2/s] (> 0 downward) |
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C fsalt (=) :: salt flux to ocean [g/m2/s] (> 0 downward) |
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C--- Input: |
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C myTime :: current Time of simulation [s] |
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C myIter :: current Iteration number in simulation |
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C myThid :: my Thread Id number |
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INTEGER siLo, siHi, sjLo, sjHi |
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INTEGER bi,bj |
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INTEGER iMin, iMax |
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INTEGER jMin, jMax |
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LOGICAL dBugFlag |
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_RL iceMask(siLo:siHi,sjLo:sjHi) |
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_RL tFrz (siLo:siHi,sjLo:sjHi) |
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_RL tOce (siLo:siHi,sjLo:sjHi) |
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_RL v2oc (siLo:siHi,sjLo:sjHi) |
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_RL snowP (siLo:siHi,sjLo:sjHi) |
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_RL prcAtm (siLo:siHi,sjLo:sjHi) |
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_RL sHeat (siLo:siHi,sjLo:sjHi) |
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_RL flxCnB (siLo:siHi,sjLo:sjHi) |
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_RL icFrac (siLo:siHi,sjLo:sjHi) |
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_RL hIce (siLo:siHi,sjLo:sjHi) |
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_RL hSnow (siLo:siHi,sjLo:sjHi) |
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_RL tSrf (siLo:siHi,sjLo:sjHi) |
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_RL qIc1 (siLo:siHi,sjLo:sjHi) |
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_RL qIc2 (siLo:siHi,sjLo:sjHi) |
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_RL frwAtm (siLo:siHi,sjLo:sjHi) |
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_RL fzMlOc (siLo:siHi,sjLo:sjHi) |
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_RL flx2oc (siLo:siHi,sjLo:sjHi) |
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_RL frw2oc (siLo:siHi,sjLo:sjHi) |
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_RL fsalt (siLo:siHi,sjLo:sjHi) |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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CEOP |
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#ifdef ALLOW_THSICE |
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C !LOCAL VARIABLES: |
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C--- local copy of input/output argument list variables (see description above) |
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jmc |
1.1 |
_RL frzmlt |
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_RL Tf |
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_RL oceTs, oceV2s, snowPr |
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_RL sHeating |
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jmc |
1.6 |
c _RL flxCnB |
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c _RL evpAtm |
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_RL iceFrac |
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jmc |
1.1 |
_RL hi |
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_RL hs |
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_RL Tsf |
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_RL qicen(nlyr) |
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_RL qleft |
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_RL fresh |
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jmc |
1.6 |
c _RL fsalt |
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jmc |
1.16 |
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jmc |
1.1 |
C == Local Variables == |
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jmc |
1.16 |
C i,j,k :: loop indices |
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C rec_nlyr :: reciprocal of number of ice layers (real value) |
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C evap :: evaporation over snow/ice [kg/m2/s] (>0 if evaporate) |
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C Fbot :: oceanic heat flux used to melt/form ice [W/m2] |
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C etop :: energy for top melting (J m-2) |
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C ebot :: energy for bottom melting (J m-2) |
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C etope :: energy (from top) for lateral melting (J m-2) |
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C ebote :: energy (from bottom) for lateral melting (J m-2) |
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C extend :: total energy for lateral melting (J m-2) |
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C hnew(nlyr) :: new ice layer thickness (m) |
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C hlyr :: individual ice layer thickness (m) |
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C dhi :: change in ice thickness |
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C dhs :: change in snow thickness |
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C rq :: rho * q for a layer |
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C rqh :: rho * q * h for a layer |
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C qbot :: enthalpy for new ice at bottom surf (J/kg) |
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C dt :: timestep |
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C esurp :: surplus energy from melting (J m-2) |
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C mwater0 :: fresh water mass gained/lost (kg/m^2) |
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C msalt0 :: salt gained/lost (kg/m^2) |
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C freshe :: fresh water gain from extension melting |
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C salte :: salt gained from extension melting |
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C lowIcFrac1 :: ice-fraction lower limit above which partial (lowIcFrac1) |
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C lowIcFrac2 :: or full (lowIcFrac2) lateral melting is allowed. |
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INTEGER i,j,k |
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_RL rec_nlyr |
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jmc |
1.1 |
_RL evap |
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jmc |
1.6 |
_RL Fbot |
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jmc |
1.16 |
_RL etop |
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_RL ebot |
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_RL etope |
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_RL ebote |
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_RL extend |
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_RL hnew(nlyr) |
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_RL hlyr |
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_RL dhi |
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_RL dhs |
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_RL rq |
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_RL rqh |
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_RL qbot |
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_RL dt |
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_RL esurp |
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_RL mwater0 |
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_RL msalt0 |
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_RL freshe |
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_RL salte |
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_RL lowIcFrac1, lowIcFrac2 |
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jmc |
1.1 |
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_RL ustar, cpchr |
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jmc |
1.16 |
_RL chi |
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jmc |
1.1 |
_RL frace, rs, hq |
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jmc |
1.14 |
#ifdef THSICE_FRACEN_POWERLAW |
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INTEGER powerLaw |
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_RL rec_pLaw |
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_RL c1Mlt, c2Mlt, aMlt, hMlt |
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_RL c1Frz, c2Frz, aFrz, hFrz |
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_RL enFrcMlt, xxMlt, tmpMlt |
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_RL enFrcFrz, xxFrz, tmpFrz |
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#endif |
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jmc |
1.6 |
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C- define grid-point location where to print debugging values |
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#include "THSICE_DEBUG.h" |
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jmc |
1.1 |
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1010 FORMAT(A,I3,3F8.3) |
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1020 FORMAT(A,1P4E11.3) |
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jmc |
1.6 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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| 226 |
heimbach |
1.7 |
#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 |
| 232 |
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max3 = nTx*nTy |
| 233 |
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act4 = ikey_dynamics - 1 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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jmc |
1.6 |
rec_nlyr = nlyr |
| 237 |
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rec_nlyr = 1. _d 0 / rec_nlyr |
| 238 |
jmc |
1.1 |
dt = thSIce_deltaT |
| 239 |
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jmc |
1.13 |
C for now, use hard coded threshold (iceMaskMin +1.% and +10.%) |
| 241 |
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lowIcFrac1 = iceMaskMin*1.01 _d 0 |
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lowIcFrac2 = iceMaskMin*1.10 _d 0 |
| 243 |
jmc |
1.14 |
#ifdef THSICE_FRACEN_POWERLAW |
| 244 |
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IF ( powerLawExp2 .GE. 1 ) THEN |
| 245 |
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powerLaw = 1 + 2**powerLawExp2 |
| 246 |
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rec_pLaw = powerLaw |
| 247 |
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rec_pLaw = 1. _d 0 / rec_pLaw |
| 248 |
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C- Coef for melting: |
| 249 |
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C lateral-melting energy fraction = fracEnMelt - [ aMlt*(hi-hMlt) ]^powerLaw |
| 250 |
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c1Mlt = fracEnMelt**rec_pLaw |
| 251 |
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c2Mlt = (1. _d 0 - fracEnMelt)**rec_pLaw |
| 252 |
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aMlt = (c1Mlt+c2Mlt)/(hThickIce-hThinIce) |
| 253 |
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hMlt = hThinIce+c2Mlt/aMlt |
| 254 |
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C- Coef for freezing: |
| 255 |
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C thickening energy fraction = fracEnFreez - [ aFrz*(hi-hFrz) ]^powerLaw |
| 256 |
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c1Frz = fracEnFreez**rec_pLaw |
| 257 |
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c2Frz = (1. _d 0 -fracEnFreez)**rec_pLaw |
| 258 |
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aFrz = (c1Frz+c2Frz)/(hThickIce-hThinIce) |
| 259 |
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hFrz = hThinIce+c2Frz/aFrz |
| 260 |
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ELSE |
| 261 |
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C- Linear relation |
| 262 |
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powerLaw = 1 |
| 263 |
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aMlt = -1. _d 0 /(hThickIce-hThinIce) |
| 264 |
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hMlt = hThickIce |
| 265 |
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aFrz = -1. _d 0 /(hThickIce-hThinIce) |
| 266 |
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hFrz = hThickIce |
| 267 |
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ENDIF |
| 268 |
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#endif /* THSICE_FRACEN_POWERLAW */ |
| 269 |
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| 270 |
jmc |
1.13 |
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| 271 |
jmc |
1.6 |
DO j = jMin, jMax |
| 272 |
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DO i = iMin, iMax |
| 273 |
heimbach |
1.7 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 274 |
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ikey_1 = i |
| 275 |
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& + sNx*(j-1) |
| 276 |
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& + sNx*sNy*act1 |
| 277 |
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& + sNx*sNy*max1*act2 |
| 278 |
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& + sNx*sNy*max1*max2*act3 |
| 279 |
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& + sNx*sNy*max1*max2*max3*act4 |
| 280 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
| 281 |
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C-- |
| 282 |
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#ifdef ALLOW_AUTODIFF_TAMC |
| 283 |
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CADJ STORE frwatm(i,j) = comlev1_thsice_1, key=ikey_1 |
| 284 |
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CADJ STORE fzmloc(i,j) = comlev1_thsice_1, key=ikey_1 |
| 285 |
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CADJ STORE hice(i,j) = comlev1_thsice_1, key=ikey_1 |
| 286 |
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CADJ STORE hsnow(i,j) = comlev1_thsice_1, key=ikey_1 |
| 287 |
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CADJ STORE icfrac(i,j) = comlev1_thsice_1, key=ikey_1 |
| 288 |
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CADJ STORE qic1(i,j) = comlev1_thsice_1, key=ikey_1 |
| 289 |
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CADJ STORE qic2(i,j) = comlev1_thsice_1, key=ikey_1 |
| 290 |
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#endif |
| 291 |
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| 292 |
jmc |
1.6 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 293 |
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Tf = tFrz(i,j) |
| 294 |
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oceTs = tOce(i,j) |
| 295 |
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oceV2s = v2oc(i,j) |
| 296 |
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snowPr = snowP(i,j) |
| 297 |
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c prcAtm = prcAtm(i,j) |
| 298 |
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sHeating= sHeat(i,j) |
| 299 |
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c flxCnB = flxCnB(i,j) |
| 300 |
|
|
iceFrac = icFrac(i,j) |
| 301 |
|
|
hi = hIce(i,j) |
| 302 |
|
|
hs = hSnow(i,j) |
| 303 |
|
|
Tsf = tSrf(i,j) |
| 304 |
|
|
qicen(1)= qIc1(i,j) |
| 305 |
|
|
qicen(2)= qIc2(i,j) |
| 306 |
|
|
c evpAtm = frwAtm(i,j) |
| 307 |
|
|
frzmlt = fzMlOc(i,j) |
| 308 |
|
|
qleft = flx2oc(i,j) |
| 309 |
|
|
c fresh = frw2oc(i,j) |
| 310 |
|
|
c fsalt = fsalt(i,j) |
| 311 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 312 |
jmc |
1.1 |
C initialize energies |
| 313 |
|
|
esurp = 0. _d 0 |
| 314 |
|
|
|
| 315 |
jmc |
1.6 |
evap = frwAtm(i,j) |
| 316 |
jmc |
1.1 |
|
| 317 |
|
|
C...................................................................... |
| 318 |
|
|
C.. Compute growth and/or melting at the top and bottom surfaces....... |
| 319 |
|
|
C...................................................................... |
| 320 |
|
|
|
| 321 |
jmc |
1.14 |
#ifdef THSICE_FRACEN_POWERLAW |
| 322 |
|
|
xxMlt = aMlt*(hi-hMlt) |
| 323 |
|
|
xxFrz = aFrz*(hi-hFrz) |
| 324 |
|
|
c-- |
| 325 |
|
|
IF ( powerLawExp2 .GE. 1 ) THEN |
| 326 |
|
|
tmpMlt = xxMlt |
| 327 |
|
|
tmpFrz = xxFrz |
| 328 |
|
|
DO k=1,powerLawExp2 |
| 329 |
|
|
tmpMlt = tmpMlt*tmpMlt |
| 330 |
|
|
tmpFrz = tmpFrz*tmpFrz |
| 331 |
|
|
ENDDO |
| 332 |
|
|
xxMlt = xxMlt*tmpMlt |
| 333 |
|
|
xxFrz = xxFrz*tmpFrz |
| 334 |
|
|
c xxMlt = xxMlt**powerLaw |
| 335 |
|
|
c xxFrz = xxFrz**powerLaw |
| 336 |
|
|
xxMlt = fracEnMelt -xxMlt |
| 337 |
|
|
xxFrz = fracEnFreez-xxFrz |
| 338 |
|
|
ENDIF |
| 339 |
|
|
enFrcMlt = MAX( 0. _d 0, MIN( xxMlt, 1. _d 0 ) ) |
| 340 |
|
|
enFrcFrz = MAX( 0. _d 0, MIN( xxFrz, 1. _d 0 ) ) |
| 341 |
|
|
#endif /* THSICE_FRACEN_POWERLAW */ |
| 342 |
|
|
|
| 343 |
jmc |
1.5 |
IF (frzmlt.GE. 0. _d 0) THEN |
| 344 |
jmc |
1.1 |
C !----------------------------------------------------------------- |
| 345 |
|
|
C ! freezing conditions |
| 346 |
|
|
C !----------------------------------------------------------------- |
| 347 |
jmc |
1.10 |
Fbot = frzmlt |
| 348 |
jmc |
1.11 |
IF ( iceFrac.LT.iceMaskMax ) THEN |
| 349 |
jmc |
1.14 |
#ifdef THSICE_FRACEN_POWERLAW |
| 350 |
|
|
Fbot = enFrcFrz*frzmlt |
| 351 |
|
|
#else /* THSICE_FRACEN_POWERLAW */ |
| 352 |
jmc |
1.10 |
IF (hi.GT.hThickIce) THEN |
| 353 |
jmc |
1.8 |
C if higher than hThickIce, use all frzmlt energy to grow extra ice |
| 354 |
jmc |
1.10 |
Fbot = 0. _d 0 |
| 355 |
|
|
ELSEIF (hi.GE.hThinIce) THEN |
| 356 |
|
|
C between hThinIce & hThickIce, use partition factor fracEnFreez |
| 357 |
|
|
Fbot = (1. _d 0 - fracEnFreez)*frzmlt |
| 358 |
|
|
ENDIF |
| 359 |
jmc |
1.14 |
#endif /* THSICE_FRACEN_POWERLAW */ |
| 360 |
jmc |
1.5 |
ENDIF |
| 361 |
|
|
ELSE |
| 362 |
jmc |
1.1 |
C !----------------------------------------------------------------- |
| 363 |
|
|
C ! melting conditions |
| 364 |
|
|
C !----------------------------------------------------------------- |
| 365 |
jmc |
1.16 |
C for no currents: |
| 366 |
|
|
ustar = 5. _d -2 |
| 367 |
jmc |
1.1 |
C frictional velocity between ice and water |
| 368 |
jmc |
1.5 |
ustar = SQRT(0.00536 _d 0*oceV2s) |
| 369 |
jmc |
1.1 |
ustar=max(5. _d -3,ustar) |
| 370 |
jmc |
1.8 |
cpchr =cpWater*rhosw*bMeltCoef |
| 371 |
jmc |
1.16 |
Fbot = cpchr*(Tf-oceTs)*ustar |
| 372 |
|
|
C frzmlt < Fbot < 0 |
| 373 |
|
|
Fbot = max(Fbot,frzmlt) |
| 374 |
jmc |
1.1 |
Fbot = min(Fbot,0. _d 0) |
| 375 |
jmc |
1.5 |
ENDIF |
| 376 |
jmc |
1.1 |
|
| 377 |
|
|
C mass of fresh water and salt initially present in ice |
| 378 |
|
|
mwater0 = rhos*hs + rhoi*hi |
| 379 |
jmc |
1.8 |
msalt0 = rhoi*hi*saltIce |
| 380 |
jmc |
1.1 |
|
| 381 |
jmc |
1.6 |
#ifdef ALLOW_DBUG_THSICE |
| 382 |
jmc |
1.9 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 383 |
jmc |
1.6 |
& 'ThSI_CALC_TH: evpAtm, frzmlt, Fbot =', frwAtm(i,j),frzmlt,Fbot |
| 384 |
|
|
#endif |
| 385 |
jmc |
1.1 |
|
| 386 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 387 |
|
|
|
| 388 |
|
|
C Compute energy available for melting/growth. |
| 389 |
|
|
|
| 390 |
jmc |
1.14 |
#ifdef THSICE_FRACEN_POWERLAW |
| 391 |
|
|
IF ( fracEnMelt.EQ.0. _d 0 ) THEN |
| 392 |
|
|
frace = 0. _d 0 |
| 393 |
|
|
ELSE |
| 394 |
|
|
frace = (iceFrac - lowIcFrac1)/(lowIcFrac2-iceMaskMin) |
| 395 |
|
|
frace = MIN( enFrcMlt, MAX( 0. _d 0, frace ) ) |
| 396 |
|
|
ENDIF |
| 397 |
|
|
#else /* THSICE_FRACEN_POWERLAW */ |
| 398 |
jmc |
1.10 |
IF ( hi.GT.hThickIce .OR. fracEnMelt.EQ.0. _d 0 ) THEN |
| 399 |
|
|
C above certain height (or when no ice fractionation), only melt from top |
| 400 |
|
|
frace = 0. _d 0 |
| 401 |
jmc |
1.11 |
ELSEIF (hi.LT.hThinIce) THEN |
| 402 |
jmc |
1.1 |
C below a certain height, all energy goes to changing ice extent |
| 403 |
jmc |
1.11 |
frace = 1. _d 0 |
| 404 |
jmc |
1.5 |
ELSE |
| 405 |
jmc |
1.10 |
frace = fracEnMelt |
| 406 |
jmc |
1.5 |
ENDIF |
| 407 |
jmc |
1.13 |
C Reduce lateral melting when ice fraction is low : the purpose is to avoid |
| 408 |
|
|
C disappearing of (up to hThinIce thick) sea-ice by over doing lateral melting |
| 409 |
|
|
C (which would bring iceFrac below iceMaskMin). |
| 410 |
|
|
IF ( iceFrac.LE.lowIcFrac1 ) THEN |
| 411 |
|
|
frace = 0. _d 0 |
| 412 |
|
|
ELSEIF (iceFrac.LE.lowIcFrac2 ) THEN |
| 413 |
|
|
frace = MIN( frace, fracEnMelt ) |
| 414 |
|
|
ENDIF |
| 415 |
jmc |
1.14 |
#endif /* THSICE_FRACEN_POWERLAW */ |
| 416 |
jmc |
1.1 |
|
| 417 |
jmc |
1.5 |
c IF (Tsf .EQ. 0. _d 0 .AND. sHeating.GT.0. _d 0) THEN |
| 418 |
|
|
IF ( sHeating.GT.0. _d 0 ) THEN |
| 419 |
jmc |
1.1 |
etop = (1. _d 0-frace)*sHeating * dt |
| 420 |
|
|
etope = frace*sHeating * dt |
| 421 |
jmc |
1.5 |
ELSE |
| 422 |
jmc |
1.1 |
etop = 0. _d 0 |
| 423 |
|
|
etope = 0. _d 0 |
| 424 |
|
|
C jmc: found few cases where Tsf=0 & sHeating < 0 : add this line to conserv energy: |
| 425 |
|
|
esurp = sHeating * dt |
| 426 |
jmc |
1.5 |
ENDIF |
| 427 |
jmc |
1.6 |
C-- flux at the base of sea-ice: |
| 428 |
jmc |
1.1 |
C conduction H.flx= flxCnB (+ =down); oceanic turbulent H.flx= Fbot (+ =down). |
| 429 |
|
|
C- ==> energy available(+ => melt)= (flxCnB-Fbot)*dt |
| 430 |
jmc |
1.5 |
c IF (frzmlt.LT.0. _d 0) THEN |
| 431 |
jmc |
1.1 |
c ebot = (1. _d 0-frace)*(flxCnB-Fbot) * dt |
| 432 |
|
|
c ebote = frace*(flxCnB-Fbot) * dt |
| 433 |
jmc |
1.5 |
c ELSE |
| 434 |
jmc |
1.1 |
c ebot = (flxCnB-Fbot) * dt |
| 435 |
|
|
c ebote = 0. _d 0 |
| 436 |
jmc |
1.5 |
c ENDIF |
| 437 |
jmc |
1.1 |
C- original formulation(above): Loose energy when flxCnB < Fbot < 0 |
| 438 |
jmc |
1.6 |
ebot = (flxCnB(i,j)-Fbot) * dt |
| 439 |
jmc |
1.5 |
IF (ebot.GT.0. _d 0) THEN |
| 440 |
jmc |
1.1 |
ebote = frace*ebot |
| 441 |
|
|
ebot = ebot-ebote |
| 442 |
jmc |
1.5 |
ELSE |
| 443 |
jmc |
1.1 |
ebote = 0. _d 0 |
| 444 |
jmc |
1.5 |
ENDIF |
| 445 |
jmc |
1.6 |
#ifdef ALLOW_DBUG_THSICE |
| 446 |
jmc |
1.9 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 447 |
jmc |
1.6 |
& 'ThSI_CALC_TH: etop,etope,ebot,ebote=', etop,etope,ebot,ebote |
| 448 |
|
|
#endif |
| 449 |
jmc |
1.1 |
|
| 450 |
|
|
C Initialize layer thicknesses. |
| 451 |
|
|
C Make sure internal ice temperatures do not exceed Tmlt. |
| 452 |
|
|
C If they do, then eliminate the layer. (Dont think this will happen |
| 453 |
|
|
C for reasonable values of i0.) |
| 454 |
|
|
|
| 455 |
jmc |
1.6 |
hlyr = hi * rec_nlyr |
| 456 |
jmc |
1.5 |
DO k = 1, nlyr |
| 457 |
jmc |
1.1 |
hnew(k) = hlyr |
| 458 |
jmc |
1.5 |
ENDDO |
| 459 |
jmc |
1.1 |
|
| 460 |
|
|
C Top melt: snow, then ice. |
| 461 |
|
|
|
| 462 |
jmc |
1.5 |
IF (etop .GT. 0. _d 0) THEN |
| 463 |
heimbach |
1.7 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 464 |
|
|
CADJ STORE etop = comlev1_thsice_1, key=ikey_1 |
| 465 |
|
|
#endif |
| 466 |
jmc |
1.5 |
IF (hs. gt. 0. _d 0) THEN |
| 467 |
jmc |
1.1 |
rq = rhos * qsnow |
| 468 |
|
|
rqh = rq * hs |
| 469 |
jmc |
1.5 |
IF (etop .LT. rqh) THEN |
| 470 |
jmc |
1.1 |
hs = hs - etop/rq |
| 471 |
|
|
etop = 0. _d 0 |
| 472 |
jmc |
1.5 |
ELSE |
| 473 |
jmc |
1.6 |
etop = etop - rqh |
| 474 |
jmc |
1.1 |
hs = 0. _d 0 |
| 475 |
jmc |
1.5 |
ENDIF |
| 476 |
|
|
ENDIF |
| 477 |
jmc |
1.6 |
|
| 478 |
jmc |
1.5 |
DO k = 1, nlyr |
| 479 |
heimbach |
1.7 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 480 |
|
|
ikey_2 = k |
| 481 |
|
|
& + nlyr*(i-1) |
| 482 |
|
|
& + nlyr*sNx*(j-1) |
| 483 |
|
|
& + nlyr*sNx*sNy*act1 |
| 484 |
|
|
& + nlyr*sNx*sNy*max1*act2 |
| 485 |
|
|
& + nlyr*sNx*sNy*max1*max2*act3 |
| 486 |
|
|
& + nlyr*sNx*sNy*max1*max2*max3*act4 |
| 487 |
|
|
#endif |
| 488 |
|
|
C-- |
| 489 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 490 |
|
|
CADJ STORE etop = comlev1_thsice_2, key=ikey_2 |
| 491 |
|
|
CADJ STORE hnew(k) = comlev1_thsice_2, key=ikey_2 |
| 492 |
|
|
#endif |
| 493 |
jmc |
1.5 |
IF (etop .GT. 0. _d 0) THEN |
| 494 |
jmc |
1.1 |
rq = rhoi * qicen(k) |
| 495 |
|
|
rqh = rq * hnew(k) |
| 496 |
jmc |
1.5 |
IF (etop .LT. rqh) THEN |
| 497 |
jmc |
1.1 |
hnew(k) = hnew(k) - etop / rq |
| 498 |
|
|
etop = 0. _d 0 |
| 499 |
jmc |
1.5 |
ELSE |
| 500 |
jmc |
1.1 |
etop = etop - rqh |
| 501 |
|
|
hnew(k) = 0. _d 0 |
| 502 |
jmc |
1.5 |
ENDIF |
| 503 |
|
|
ENDIF |
| 504 |
|
|
ENDDO |
| 505 |
|
|
ELSE |
| 506 |
jmc |
1.1 |
etop=0. _d 0 |
| 507 |
jmc |
1.5 |
ENDIF |
| 508 |
jmc |
1.1 |
C If ice is gone and melting energy remains |
| 509 |
jmc |
1.5 |
c IF (etop .GT. 0. _d 0) THEN |
| 510 |
|
|
c WRITE (6,*) 'QQ All ice melts from top ', i,j |
| 511 |
jmc |
1.1 |
c hi=0. _d 0 |
| 512 |
|
|
c go to 200 |
| 513 |
jmc |
1.5 |
c ENDIF |
| 514 |
jmc |
1.1 |
|
| 515 |
|
|
|
| 516 |
jmc |
1.6 |
C Bottom melt/growth. |
| 517 |
jmc |
1.1 |
|
| 518 |
jmc |
1.5 |
IF (ebot .LT. 0. _d 0) THEN |
| 519 |
jmc |
1.1 |
C Compute enthalpy of new ice growing at bottom surface. |
| 520 |
jmc |
1.8 |
qbot = -cpIce *Tf + Lfresh |
| 521 |
jmc |
1.1 |
dhi = -ebot / (qbot * rhoi) |
| 522 |
|
|
ebot = 0. _d 0 |
| 523 |
heimbach |
1.7 |
cph k = nlyr |
| 524 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 525 |
|
|
CADJ STORE hnew(:) = comlev1_thsice_1, key=ikey_1 |
| 526 |
|
|
CADJ STORE qicen(:) = comlev1_thsice_1, key=ikey_1 |
| 527 |
|
|
#endif |
| 528 |
jmc |
1.9 |
qicen(nlyr) = (hnew(nlyr)*qicen(nlyr)+dhi*qbot) / |
| 529 |
heimbach |
1.7 |
& (hnew(nlyr)+dhi) |
| 530 |
|
|
hnew(nlyr) = hnew(nlyr) + dhi |
| 531 |
jmc |
1.6 |
ELSE |
| 532 |
jmc |
1.5 |
DO k = nlyr, 1, -1 |
| 533 |
heimbach |
1.7 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 534 |
|
|
ikey_2 = (nlyr-k+1) |
| 535 |
|
|
& + nlyr*(i-1) |
| 536 |
|
|
& + nlyr*sNx*(j-1) |
| 537 |
|
|
& + nlyr*sNx*sNy*act1 |
| 538 |
|
|
& + nlyr*sNx*sNy*max1*act2 |
| 539 |
|
|
& + nlyr*sNx*sNy*max1*max2*act3 |
| 540 |
|
|
& + nlyr*sNx*sNy*max1*max2*max3*act4 |
| 541 |
|
|
#endif |
| 542 |
|
|
C-- |
| 543 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 544 |
|
|
CADJ STORE ebot = comlev1_thsice_2, key=ikey_2 |
| 545 |
|
|
CADJ STORE hnew(k) = comlev1_thsice_2, key=ikey_2 |
| 546 |
|
|
CADJ STORE qicen(k) = comlev1_thsice_2, key=ikey_2 |
| 547 |
|
|
#endif |
| 548 |
jmc |
1.5 |
IF (ebot.GT.0. _d 0 .AND. hnew(k).GT.0. _d 0) THEN |
| 549 |
jmc |
1.1 |
rq = rhoi * qicen(k) |
| 550 |
|
|
rqh = rq * hnew(k) |
| 551 |
jmc |
1.5 |
IF (ebot .LT. rqh) THEN |
| 552 |
jmc |
1.1 |
hnew(k) = hnew(k) - ebot / rq |
| 553 |
|
|
ebot = 0. _d 0 |
| 554 |
jmc |
1.5 |
ELSE |
| 555 |
jmc |
1.1 |
ebot = ebot - rqh |
| 556 |
|
|
hnew(k) = 0. _d 0 |
| 557 |
jmc |
1.5 |
ENDIF |
| 558 |
|
|
ENDIF |
| 559 |
|
|
ENDDO |
| 560 |
jmc |
1.1 |
|
| 561 |
jmc |
1.6 |
C If ice melts completely and snow is left, remove the snow with |
| 562 |
jmc |
1.1 |
C energy from the mixed layer |
| 563 |
|
|
|
| 564 |
jmc |
1.5 |
IF (ebot.GT.0. _d 0 .AND. hs.GT.0. _d 0) THEN |
| 565 |
jmc |
1.1 |
rq = rhos * qsnow |
| 566 |
|
|
rqh = rq * hs |
| 567 |
jmc |
1.5 |
IF (ebot .LT. rqh) THEN |
| 568 |
jmc |
1.1 |
hs = hs - ebot / rq |
| 569 |
|
|
ebot = 0. _d 0 |
| 570 |
jmc |
1.5 |
ELSE |
| 571 |
jmc |
1.1 |
ebot = ebot - rqh |
| 572 |
|
|
hs = 0. _d 0 |
| 573 |
jmc |
1.5 |
ENDIF |
| 574 |
|
|
ENDIF |
| 575 |
|
|
c IF (ebot .GT. 0. _d 0) THEN |
| 576 |
jmc |
1.1 |
c IF (dBug) WRITE(6,*) 'All ice (& snow) melts from bottom' |
| 577 |
|
|
c hi=0. _d 0 |
| 578 |
|
|
c go to 200 |
| 579 |
jmc |
1.5 |
c ENDIF |
| 580 |
|
|
ENDIF |
| 581 |
jmc |
1.1 |
|
| 582 |
|
|
C Compute new total ice thickness. |
| 583 |
|
|
hi = 0. _d 0 |
| 584 |
jmc |
1.5 |
DO k = 1, nlyr |
| 585 |
jmc |
1.1 |
hi = hi + hnew(k) |
| 586 |
jmc |
1.5 |
ENDDO |
| 587 |
jmc |
1.6 |
#ifdef ALLOW_DBUG_THSICE |
| 588 |
jmc |
1.9 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 589 |
jmc |
1.6 |
& 'ThSI_CALC_TH: etop, ebot, hi, hs =', etop, ebot, hi, hs |
| 590 |
|
|
#endif |
| 591 |
jmc |
1.1 |
|
| 592 |
jmc |
1.8 |
C If hi < hIceMin, melt the ice. |
| 593 |
|
|
IF ( hi.LT.hIceMin .AND. (hi+hs).GT.0. _d 0 ) THEN |
| 594 |
jmc |
1.1 |
esurp = esurp - rhos*qsnow*hs |
| 595 |
jmc |
1.5 |
DO k = 1, nlyr |
| 596 |
jmc |
1.1 |
esurp = esurp - rhoi*qicen(k)*hnew(k) |
| 597 |
jmc |
1.5 |
ENDDO |
| 598 |
jmc |
1.1 |
hi = 0. _d 0 |
| 599 |
|
|
hs = 0. _d 0 |
| 600 |
|
|
Tsf=0. _d 0 |
| 601 |
jmc |
1.6 |
iceFrac = 0. _d 0 |
| 602 |
jmc |
1.5 |
DO k = 1, nlyr |
| 603 |
jmc |
1.1 |
qicen(k) = 0. _d 0 |
| 604 |
jmc |
1.5 |
ENDDO |
| 605 |
jmc |
1.6 |
#ifdef ALLOW_DBUG_THSICE |
| 606 |
jmc |
1.9 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 607 |
jmc |
1.6 |
& 'ThSI_CALC_TH: -1 : esurp=',esurp |
| 608 |
|
|
#endif |
| 609 |
jmc |
1.5 |
ENDIF |
| 610 |
jmc |
1.1 |
|
| 611 |
|
|
C-- do a mass-budget of sea-ice to compute "fresh" = the fresh-water flux |
| 612 |
|
|
C that is returned to the ocean ; needs to be done before snow/evap |
| 613 |
|
|
fresh = (mwater0 - (rhos*hs + rhoi*hi))/dt |
| 614 |
|
|
|
| 615 |
jmc |
1.6 |
IF ( hi .LE. 0. _d 0 ) THEN |
| 616 |
jmc |
1.5 |
C- return snow to the ocean (account for Latent heat of freezing) |
| 617 |
jmc |
1.1 |
fresh = fresh + snowPr |
| 618 |
|
|
qleft = qleft - snowPr*Lfresh |
| 619 |
jmc |
1.5 |
|
| 620 |
|
|
ELSE |
| 621 |
|
|
C- else: hi > 0 |
| 622 |
jmc |
1.1 |
|
| 623 |
|
|
C Let it snow |
| 624 |
|
|
|
| 625 |
|
|
hs = hs + dt*snowPr/rhos |
| 626 |
|
|
|
| 627 |
|
|
C If ice evap is used to sublimate surface snow/ice or |
| 628 |
|
|
C if no ice pass on to ocean |
| 629 |
heimbach |
1.7 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 630 |
|
|
CADJ STORE evap = comlev1_thsice_1, key=ikey_1 |
| 631 |
|
|
CADJ STORE hs = comlev1_thsice_1, key=ikey_1 |
| 632 |
|
|
#endif |
| 633 |
jmc |
1.5 |
IF (hs.GT.0. _d 0) THEN |
| 634 |
|
|
IF (evap/rhos *dt.GT.hs) THEN |
| 635 |
jmc |
1.1 |
evap=evap-hs*rhos/dt |
| 636 |
|
|
hs=0. _d 0 |
| 637 |
jmc |
1.5 |
ELSE |
| 638 |
jmc |
1.1 |
hs = hs - evap/rhos *dt |
| 639 |
|
|
evap=0. _d 0 |
| 640 |
jmc |
1.5 |
ENDIF |
| 641 |
|
|
ENDIF |
| 642 |
heimbach |
1.7 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 643 |
|
|
CADJ STORE evap = comlev1_thsice_1, key=ikey_1 |
| 644 |
|
|
CADJ STORE hi = comlev1_thsice_1, key=ikey_1 |
| 645 |
|
|
CADJ STORE hnew(:) = comlev1_thsice_1, key=ikey_1 |
| 646 |
|
|
CADJ STORE qicen(:) = comlev1_thsice_1, key=ikey_1 |
| 647 |
|
|
#endif |
| 648 |
jmc |
1.5 |
IF (hi.GT.0. _d 0.AND.evap.GT.0. _d 0) THEN |
| 649 |
|
|
DO k = 1, nlyr |
| 650 |
heimbach |
1.7 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 651 |
|
|
ikey_2 = k |
| 652 |
|
|
& + nlyr*(i-1) |
| 653 |
|
|
& + nlyr*sNx*(j-1) |
| 654 |
|
|
& + nlyr*sNx*sNy*act1 |
| 655 |
|
|
& + nlyr*sNx*sNy*max1*act2 |
| 656 |
|
|
& + nlyr*sNx*sNy*max1*max2*act3 |
| 657 |
|
|
& + nlyr*sNx*sNy*max1*max2*max3*act4 |
| 658 |
|
|
#endif |
| 659 |
|
|
C-- |
| 660 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 661 |
|
|
CADJ STORE evap = comlev1_thsice_2, key=ikey_2 |
| 662 |
|
|
CADJ STORE hnew(k) = comlev1_thsice_2, key=ikey_2 |
| 663 |
|
|
CADJ STORE qicen(k) = comlev1_thsice_2, key=ikey_2 |
| 664 |
|
|
#endif |
| 665 |
jmc |
1.5 |
IF (evap .GT. 0. _d 0) THEN |
| 666 |
jmc |
1.1 |
C-- original scheme, does not care about ice temp. |
| 667 |
|
|
C- this can produce small error (< 1.W/m2) in the Energy budget |
| 668 |
jmc |
1.5 |
c IF (evap/rhoi *dt.GT.hnew(k)) THEN |
| 669 |
jmc |
1.1 |
c evap=evap-hnew(k)*rhoi/dt |
| 670 |
|
|
c hnew(k)=0. _d 0 |
| 671 |
jmc |
1.5 |
c ELSE |
| 672 |
jmc |
1.1 |
c hnew(k) = hnew(k) - evap/rhoi *dt |
| 673 |
|
|
c evap=0. _d 0 |
| 674 |
jmc |
1.5 |
c ENDIF |
| 675 |
jmc |
1.1 |
C-- modified scheme. taking into account Ice enthalpy |
| 676 |
jmc |
1.6 |
dhi = evap/rhoi*dt |
| 677 |
jmc |
1.5 |
IF (dhi.GE.hnew(k)) THEN |
| 678 |
jmc |
1.1 |
evap=evap-hnew(k)*rhoi/dt |
| 679 |
|
|
esurp = esurp - hnew(k)*rhoi*(qicen(k)-Lfresh) |
| 680 |
|
|
hnew(k)=0. _d 0 |
| 681 |
jmc |
1.5 |
ELSE |
| 682 |
heimbach |
1.7 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 683 |
|
|
CADJ STORE hnew(k) = comlev1_thsice_2, key=ikey_2 |
| 684 |
|
|
#endif |
| 685 |
jmc |
1.1 |
hq = hnew(k)*qicen(k)-dhi*Lfresh |
| 686 |
|
|
hnew(k) = hnew(k) - dhi |
| 687 |
|
|
qicen(k)=hq/hnew(k) |
| 688 |
|
|
evap=0. _d 0 |
| 689 |
jmc |
1.5 |
ENDIF |
| 690 |
jmc |
1.1 |
C------- |
| 691 |
jmc |
1.5 |
ENDIF |
| 692 |
|
|
ENDDO |
| 693 |
|
|
ENDIF |
| 694 |
|
|
c IF (evap .GT. 0. _d 0) THEN |
| 695 |
|
|
c WRITE (6,*) 'BB All ice sublimates', i,j |
| 696 |
jmc |
1.1 |
c hi=0. _d 0 |
| 697 |
|
|
c go to 200 |
| 698 |
jmc |
1.5 |
c ENDIF |
| 699 |
jmc |
1.1 |
|
| 700 |
|
|
C Compute new total ice thickness. |
| 701 |
|
|
|
| 702 |
jmc |
1.5 |
hi = 0. _d 0 |
| 703 |
|
|
DO k = 1, nlyr |
| 704 |
jmc |
1.1 |
hi = hi + hnew(k) |
| 705 |
jmc |
1.5 |
ENDDO |
| 706 |
jmc |
1.1 |
|
| 707 |
jmc |
1.8 |
C If hi < hIceMin, melt the ice. |
| 708 |
|
|
IF ( hi.GT.0. _d 0 .AND. hi.LT.hIceMin ) THEN |
| 709 |
jmc |
1.1 |
fresh = fresh + (rhos*hs + rhoi*hi)/dt |
| 710 |
|
|
esurp = esurp - rhos*qsnow*hs |
| 711 |
jmc |
1.5 |
DO k = 1, nlyr |
| 712 |
jmc |
1.1 |
esurp = esurp - rhoi*qicen(k)*hnew(k) |
| 713 |
jmc |
1.5 |
ENDDO |
| 714 |
jmc |
1.1 |
hi = 0. _d 0 |
| 715 |
|
|
hs = 0. _d 0 |
| 716 |
|
|
Tsf=0. _d 0 |
| 717 |
jmc |
1.6 |
iceFrac = 0. _d 0 |
| 718 |
jmc |
1.5 |
DO k = 1, nlyr |
| 719 |
jmc |
1.1 |
qicen(k) = 0. _d 0 |
| 720 |
jmc |
1.5 |
ENDDO |
| 721 |
jmc |
1.6 |
#ifdef ALLOW_DBUG_THSICE |
| 722 |
jmc |
1.9 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 723 |
jmc |
1.6 |
& 'ThSI_CALC_TH: -2 : esurp,fresh=', esurp, fresh |
| 724 |
|
|
#endif |
| 725 |
jmc |
1.5 |
ENDIF |
| 726 |
|
|
|
| 727 |
|
|
C- else hi > 0: end |
| 728 |
|
|
ENDIF |
| 729 |
|
|
|
| 730 |
|
|
IF ( hi .GT. 0. _d 0 ) THEN |
| 731 |
jmc |
1.1 |
|
| 732 |
jmc |
1.6 |
C If there is enough snow to lower the ice/snow interface below |
| 733 |
|
|
C freeboard, convert enough snow to ice to bring the interface back |
| 734 |
dfer |
1.15 |
C to sea-level OR if snow height is larger than hsMax, snow is |
| 735 |
|
|
C converted to ice to bring hs down to hsMax. Largest change is |
| 736 |
|
|
C applied and enthalpy of top ice layer adjusted accordingly. |
| 737 |
jmc |
1.1 |
|
| 738 |
heimbach |
1.7 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 739 |
|
|
CADJ STORE hi = comlev1_thsice_1, key=ikey_1 |
| 740 |
|
|
CADJ STORE hs = comlev1_thsice_1, key=ikey_1 |
| 741 |
|
|
CADJ STORE hnew(:) = comlev1_thsice_1, key=ikey_1 |
| 742 |
|
|
CADJ STORE qicen(:) = comlev1_thsice_1, key=ikey_1 |
| 743 |
|
|
#endif |
| 744 |
dfer |
1.15 |
IF ( hs .GT. hi*floodFac .OR. hs .GT. hsMax ) THEN |
| 745 |
jmc |
1.5 |
cBB WRITE (6,*) 'Freeboard adjusts' |
| 746 |
dfer |
1.15 |
c dhi = (hs * rhos - hi * rhoiw) / rhosw |
| 747 |
|
|
c dhs = dhi * rhoi / rhos |
| 748 |
|
|
dhs = (hs - hi*floodFac) * rhoi / rhosw |
| 749 |
|
|
dhs = MAX( hs - hsMax, dhs ) |
| 750 |
|
|
dhi = dhs * rhos / rhoi |
| 751 |
heimbach |
1.7 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 752 |
|
|
CADJ STORE hnew(:) = comlev1_thsice_1, key=ikey_1 |
| 753 |
|
|
#endif |
| 754 |
jmc |
1.1 |
rqh = rhoi*qicen(1)*hnew(1) + rhos*qsnow*dhs |
| 755 |
|
|
hnew(1) = hnew(1) + dhi |
| 756 |
|
|
qicen(1) = rqh / (rhoi*hnew(1)) |
| 757 |
|
|
hi = hi + dhi |
| 758 |
|
|
hs = hs - dhs |
| 759 |
jmc |
1.5 |
ENDIF |
| 760 |
jmc |
1.1 |
|
| 761 |
|
|
|
| 762 |
|
|
C limit ice height |
| 763 |
|
|
C- NOTE: this part does not conserve Energy ; |
| 764 |
|
|
C but surplus of fresh water and salt are taken into account. |
| 765 |
jmc |
1.5 |
IF (hi.GT.hiMax) THEN |
| 766 |
jmc |
1.1 |
cBB print*,'BBerr, hi>hiMax',i,j,hi |
| 767 |
|
|
chi=hi-hiMax |
| 768 |
jmc |
1.5 |
DO k=1,nlyr |
| 769 |
jmc |
1.1 |
hnew(k)=hnew(k)-chi/2. _d 0 |
| 770 |
jmc |
1.5 |
ENDDO |
| 771 |
jmc |
1.1 |
fresh = fresh + chi*rhoi/dt |
| 772 |
jmc |
1.5 |
ENDIF |
| 773 |
dfer |
1.15 |
c IF (hs.GT.hsMax) THEN |
| 774 |
|
|
cc print*,'BBerr, hs>hsMax',i,j,hs |
| 775 |
|
|
c chs=hs-hsMax |
| 776 |
|
|
c hs=hsMax |
| 777 |
|
|
c fresh = fresh + chs*rhos/dt |
| 778 |
|
|
c ENDIF |
| 779 |
jmc |
1.1 |
|
| 780 |
|
|
C Compute new total ice thickness. |
| 781 |
|
|
|
| 782 |
jmc |
1.5 |
hi = 0. _d 0 |
| 783 |
|
|
DO k = 1, nlyr |
| 784 |
jmc |
1.1 |
hi = hi + hnew(k) |
| 785 |
jmc |
1.5 |
ENDDO |
| 786 |
jmc |
1.1 |
|
| 787 |
jmc |
1.6 |
#ifdef ALLOW_DBUG_THSICE |
| 788 |
jmc |
1.9 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 789 |
jmc |
1.6 |
& 'ThSI_CALC_TH: b-Winton: hnew, qice =', hnew, qicen |
| 790 |
|
|
#endif |
| 791 |
|
|
|
| 792 |
|
|
hlyr = hi * rec_nlyr |
| 793 |
jmc |
1.1 |
CALL THSICE_RESHAPE_LAYERS( |
| 794 |
|
|
U qicen, |
| 795 |
|
|
I hlyr, hnew, myThid ) |
| 796 |
|
|
|
| 797 |
jmc |
1.6 |
#ifdef ALLOW_DBUG_THSICE |
| 798 |
|
|
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 799 |
|
|
& 'ThSI_CALC_TH: iceFrac,hi, qtot, hs =', iceFrac,hi, |
| 800 |
|
|
& (qicen(1)+qicen(2))*0.5, hs |
| 801 |
|
|
#endif |
| 802 |
jmc |
1.1 |
|
| 803 |
jmc |
1.5 |
C- if hi > 0 : end |
| 804 |
|
|
ENDIF |
| 805 |
|
|
200 CONTINUE |
| 806 |
jmc |
1.1 |
|
| 807 |
|
|
C- Compute surplus energy left over from melting. |
| 808 |
|
|
|
| 809 |
jmc |
1.6 |
IF (hi.LE.0. _d 0) iceFrac=0. _d 0 |
| 810 |
jmc |
1.1 |
|
| 811 |
|
|
C.. heat fluxes left over for ocean |
| 812 |
|
|
qleft = qleft + (Fbot+(esurp+etop+ebot)/dt) |
| 813 |
jmc |
1.6 |
#ifdef ALLOW_DBUG_THSICE |
| 814 |
jmc |
1.9 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 815 |
jmc |
1.6 |
& 'ThSI_CALC_TH: [esurp,etop+ebot]/dt =',esurp/dt,etop/dt,ebot/dt |
| 816 |
|
|
#endif |
| 817 |
jmc |
1.1 |
|
| 818 |
|
|
C-- Evaporation left to the ocean : |
| 819 |
|
|
fresh = fresh - evap |
| 820 |
|
|
C- Correct Atmos. fluxes for this different latent heat: |
| 821 |
|
|
C evap was computed over freezing surf.(Tsf<0), latent heat = Lvap+Lfresh |
| 822 |
jmc |
1.6 |
C but should be Lvap only for the fraction "evap" that is left to the ocean. |
| 823 |
jmc |
1.1 |
qleft = qleft + evap*Lfresh |
| 824 |
|
|
|
| 825 |
|
|
C fresh and salt fluxes |
| 826 |
|
|
c fresh = (mwater0 - (rhos*(hs) + rhoi*(hi)))/dt-evap |
| 827 |
jmc |
1.8 |
c fsalt = (msalt0 - rhoi*hi*saltIce)/35. _d 0/dt ! for same units as fresh |
| 828 |
jmc |
1.6 |
C note (jmc): fresh is computed from a sea-ice mass budget that already |
| 829 |
jmc |
1.1 |
C contains, at this point, snow & evaporation (of snow & ice) |
| 830 |
|
|
C but are not meant to be part of ice/ocean fresh-water flux. |
| 831 |
|
|
C fix: a) like below or b) by making the budget before snow/evap is added |
| 832 |
|
|
c fresh = (mwater0 - (rhos*(hs) + rhoi*(hi)))/dt |
| 833 |
jmc |
1.6 |
c & + snow(i,j,bi,bj)*rhos - frwAtm |
| 834 |
jmc |
1.8 |
fsalt(i,j) = (msalt0 - rhoi*hi*saltIce)/dt |
| 835 |
jmc |
1.1 |
|
| 836 |
jmc |
1.6 |
#ifdef ALLOW_DBUG_THSICE |
| 837 |
|
|
IF (dBug(i,j,bi,bj) ) THEN |
| 838 |
|
|
WRITE(6,1020)'ThSI_CALC_TH:dH2O,Ev[kg],fresh,fsalt', |
| 839 |
|
|
& (mwater0-(rhos*hs+rhoi*hi))/dt,evap,fresh,fsalt(i,j) |
| 840 |
|
|
WRITE(6,1020)'ThSI_CALC_TH: Qleft,Fbot,extend/dt =', |
| 841 |
jmc |
1.1 |
& Qleft,Fbot,(etope+ebote)/dt |
| 842 |
jmc |
1.6 |
ENDIF |
| 843 |
|
|
#endif |
| 844 |
jmc |
1.1 |
|
| 845 |
jmc |
1.6 |
C-- add remaining liquid Precip (rain+RunOff) directly to ocean: |
| 846 |
|
|
fresh = fresh + (prcAtm(i,j)-snowPr) |
| 847 |
|
|
|
| 848 |
|
|
C-- note: at this point, iceFrac has not been changed (unless reset to zero) |
| 849 |
jmc |
1.1 |
C and it can only be reduced by lateral melting in the following part: |
| 850 |
|
|
|
| 851 |
|
|
C calculate extent changes |
| 852 |
|
|
extend=etope+ebote |
| 853 |
jmc |
1.6 |
IF (iceFrac.GT.0. _d 0.AND.extend.GT.0. _d 0) THEN |
| 854 |
jmc |
1.1 |
rq = rhoi * 0.5 _d 0*(qicen(1)+qicen(2)) |
| 855 |
|
|
rs = rhos * qsnow |
| 856 |
|
|
rqh = rq * hi + rs * hs |
| 857 |
|
|
freshe=(rhos*hs+rhoi*hi)/dt |
| 858 |
jmc |
1.8 |
salte=(rhoi*hi*saltIce)/dt |
| 859 |
jmc |
1.12 |
IF ( extend.LT.rqh ) THEN |
| 860 |
jmc |
1.6 |
iceFrac=(1. _d 0-extend/rqh)*iceFrac |
| 861 |
jmc |
1.12 |
ENDIF |
| 862 |
|
|
IF ( extend.LT.rqh .AND. iceFrac.GE.iceMaskMin ) THEN |
| 863 |
jmc |
1.1 |
fresh=fresh+extend/rqh*freshe |
| 864 |
jmc |
1.6 |
fsalt(i,j)=fsalt(i,j)+extend/rqh*salte |
| 865 |
jmc |
1.5 |
ELSE |
| 866 |
jmc |
1.6 |
iceFrac=0. _d 0 |
| 867 |
|
|
hi=0. _d 0 |
| 868 |
|
|
hs=0. _d 0 |
| 869 |
jmc |
1.1 |
qleft=qleft+(extend-rqh)/dt |
| 870 |
|
|
fresh=fresh+freshe |
| 871 |
jmc |
1.6 |
fsalt(i,j)=fsalt(i,j)+salte |
| 872 |
jmc |
1.5 |
ENDIF |
| 873 |
|
|
ELSEIF (extend.GT.0. _d 0) THEN |
| 874 |
jmc |
1.1 |
qleft=qleft+extend/dt |
| 875 |
jmc |
1.5 |
ENDIF |
| 876 |
jmc |
1.6 |
|
| 877 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 878 |
|
|
C-- Update output variables : |
| 879 |
|
|
|
| 880 |
|
|
C- Diagnostic of Atmos. fresh water flux (E-P) over sea-ice : |
| 881 |
|
|
C substract precip from Evap (<- stored in frwAtm array) |
| 882 |
|
|
frwAtm(i,j) = frwAtm(i,j) - prcAtm(i,j) |
| 883 |
|
|
|
| 884 |
|
|
C- update Mixed-Layer Freezing potential heat flux by substracting the |
| 885 |
|
|
C part which has already been accounted for (Fbot): |
| 886 |
|
|
fzMlOc(i,j) = frzmlt - Fbot*iceMask(i,j) |
| 887 |
|
|
|
| 888 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 889 |
|
|
#ifdef ALLOW_DBUG_THSICE |
| 890 |
jmc |
1.9 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 891 |
jmc |
1.6 |
& 'ThSI_CALC_TH: iceFrac,flx2oc,fsalt,frw2oc=', |
| 892 |
|
|
& iceFrac, qleft, fsalt(i,j), fresh |
| 893 |
|
|
#endif |
| 894 |
|
|
#ifdef CHECK_ENERGY_CONSERV |
| 895 |
|
|
CALL THSICE_CHECK_CONSERV( dBugFlag, i, j, bi, bj, 0, |
| 896 |
|
|
I iceMask(i,j), iceFrac, hi, hs, qicen, |
| 897 |
|
|
I qleft, fresh, fsalt, |
| 898 |
|
|
I myTime, myIter, myThid ) |
| 899 |
|
|
#endif /* CHECK_ENERGY_CONSERV */ |
| 900 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 901 |
|
|
C-- Update Sea-Ice state output: |
| 902 |
|
|
icFrac(i,j) = iceFrac |
| 903 |
|
|
hIce(i,j) = hi |
| 904 |
|
|
hSnow(i,j ) = hs |
| 905 |
|
|
tSrf(i,j) = Tsf |
| 906 |
|
|
qIc1(i,j) = qicen(1) |
| 907 |
|
|
qIc2(i,j) = qicen(2) |
| 908 |
|
|
C-- Update oceanic flux output: |
| 909 |
|
|
flx2oc(i,j) = qleft |
| 910 |
|
|
frw2oc(i,j) = fresh |
| 911 |
|
|
c fsalt(i,j) = fsalt |
| 912 |
|
|
ENDIF |
| 913 |
|
|
ENDDO |
| 914 |
|
|
ENDDO |
| 915 |
jmc |
1.1 |
#endif /* ALLOW_THSICE */ |
| 916 |
|
|
|
| 917 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 918 |
|
|
|
| 919 |
|
|
RETURN |
| 920 |
|
|
END |
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