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C $Header: /u/gcmpack/MITgcm/pkg/thsice/thsice_calc_thickn.F,v 1.23 2010/10/26 22:26:59 heimbach Exp $ |
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C $Name: $ |
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|
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#include "THSICE_OPTIONS.h" |
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|
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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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I bi, bj, |
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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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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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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. |
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C.. J. Geophys. 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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|
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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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C a) surface melting and bottom melting (runtime parameter: fracEnMelt): |
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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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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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C b) ocean freezing (and ice forming): |
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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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C--------------------------------- |
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C !USES: |
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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 "THSICE_SIZE.h" |
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#include "THSICE_PARAMS.h" |
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#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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# include "tamc_keys.h" |
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#endif |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine Arguments == |
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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 :: sea-water freezing temperature [oC] (function of S) |
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C tOce :: surface level oceanic temperature [oC] |
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C v2oc :: square of ocean surface-level velocity [m2/s2] |
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C snowP :: 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 :: 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 :: fraction of grid area covered in ice |
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C hIce :: ice height [m] |
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C hSnow :: snow height [m] |
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C tSrf :: 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 :: ocean mixed-layer freezing/melting potential [W/m2] |
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C flx2oc :: net heat flux to ocean [W/m2] (> 0 downward) |
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C--- Output |
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C frw2oc :: 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 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(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL tFrz (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL tOce (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL v2oc (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL snowP (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL prcAtm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL sHeat (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL flxCnB (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL icFrac (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL hIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL hSnow (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL tSrf (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL qIc1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL qIc2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL frwAtm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fzMlOc (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL flx2oc (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL frw2oc (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fsalt (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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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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|
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#ifdef ALLOW_THSICE |
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|
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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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_RL qicen(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nlyr) |
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|
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C == Local Variables == |
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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 evapLoc :: 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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C from THSICE_RESHAPE_LAYERS |
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C f1 :: Fraction of upper layer ice in new layer |
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C qh1, qh2 :: qice*h for layers 1 and 2 |
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C qhtot :: qh1 + qh2 |
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C q2tmp :: Temporary value of qice for layer 2 |
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INTEGER i,j,k |
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_RL rec_nlyr |
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_RL evapLoc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL Fbot (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL etop (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL ebot (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL etope (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL ebote (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL esurp (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL extend |
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_RL hnew (1-Olx:sNx+Olx,1-Oly:sNy+Oly,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 mwater0 (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL msalt0 (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL freshe |
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_RL salte |
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_RL lowIcFrac1, lowIcFrac2 |
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_RL f1 |
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_RL qh1, qh2 |
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_RL qhtot |
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_RL q2tmp |
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#ifdef CHECK_ENERGY_CONSERV |
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_RL qaux(nlyr) |
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#endif /* CHECK_ENERGY_CONSERV */ |
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|
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_RL ustar, cpchr |
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_RL chi |
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_RL frace, rs, hq |
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#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(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL xxMlt, tmpMlt |
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_RL enFrcFrz(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL xxFrz, tmpFrz |
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#endif |
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|
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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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|
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1010 FORMAT(A,I3,3F8.3) |
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1020 FORMAT(A,1P4E11.3) |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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act1 = bi - myBxLo(myThid) |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
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act2 = bj - myByLo(myThid) |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
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act3 = myThid - 1 |
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max3 = nTx*nTy |
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act4 = ikey_dynamics - 1 |
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ticekey = (act1 + 1) + act2*max1 |
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& + act3*max1*max2 |
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& + act4*max1*max2*max3 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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rec_nlyr = nlyr |
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rec_nlyr = 1. _d 0 / rec_nlyr |
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dt = thSIce_deltaT |
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|
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C for now, use hard coded threshold (iceMaskMin +1.% and +10.%) |
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lowIcFrac1 = iceMaskMin*1.01 _d 0 |
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lowIcFrac2 = iceMaskMin*1.10 _d 0 |
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#ifdef THSICE_FRACEN_POWERLAW |
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IF ( powerLawExp2 .GE. 1 ) THEN |
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powerLaw = 1 + 2**powerLawExp2 |
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rec_pLaw = powerLaw |
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rec_pLaw = 1. _d 0 / rec_pLaw |
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C- Coef for melting: |
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C lateral-melting energy fraction = fracEnMelt - [ aMlt*(hi-hMlt) ]^powerLaw |
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c1Mlt = fracEnMelt**rec_pLaw |
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c2Mlt = (1. _d 0 - fracEnMelt)**rec_pLaw |
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aMlt = (c1Mlt+c2Mlt)/(hThickIce-hThinIce) |
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hMlt = hThinIce+c2Mlt/aMlt |
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C- Coef for freezing: |
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C thickening energy fraction = fracEnFreez - [ aFrz*(hi-hFrz) ]^powerLaw |
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c1Frz = fracEnFreez**rec_pLaw |
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c2Frz = (1. _d 0 -fracEnFreez)**rec_pLaw |
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aFrz = (c1Frz+c2Frz)/(hThickIce-hThinIce) |
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hFrz = hThinIce+c2Frz/aFrz |
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ELSE |
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C- Linear relation |
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powerLaw = 1 |
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aMlt = -1. _d 0 /(hThickIce-hThinIce) |
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hMlt = hThickIce |
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aFrz = -1. _d 0 /(hThickIce-hThinIce) |
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hFrz = hThickIce |
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ENDIF |
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#endif /* THSICE_FRACEN_POWERLAW */ |
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|
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|
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C initialise local arrays |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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evapLoc(i,j) = 0. _d 0 |
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Fbot (i,j) = 0. _d 0 |
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etop (i,j) = 0. _d 0 |
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ebot (i,j) = 0. _d 0 |
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etope (i,j) = 0. _d 0 |
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ebote (i,j) = 0. _d 0 |
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esurp (i,j) = 0. _d 0 |
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mwater0(i,j) = 0. _d 0 |
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msalt0 (i,j) = 0. _d 0 |
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#ifdef THSICE_FRACEN_POWERLAW |
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enFrcMlt(i,j)= 0. _d 0 |
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enFrcFrz(i,j)= 0. _d 0 |
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#endif |
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ENDDO |
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ENDDO |
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DO k = 1,nlyr |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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hnew(i,j,k) = 0. _d 0 |
| 294 |
ENDDO |
| 295 |
ENDDO |
| 296 |
ENDDO |
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|
| 298 |
DO j = jMin, jMax |
| 299 |
DO i = iMin, iMax |
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CML#ifdef ALLOW_AUTODIFF_TAMC |
| 301 |
CML ikey_1 = i |
| 302 |
CML & + sNx*(j-1) |
| 303 |
CML & + sNx*sNy*act1 |
| 304 |
CML & + sNx*sNy*max1*act2 |
| 305 |
CML & + sNx*sNy*max1*max2*act3 |
| 306 |
CML & + sNx*sNy*max1*max2*max3*act4 |
| 307 |
CML#endif /* ALLOW_AUTODIFF_TAMC */ |
| 308 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 309 |
CMLCADJ STORE frwatm(i,j) = comlev1_thsice_1, key=ikey_1 |
| 310 |
CMLCADJ STORE fzmloc(i,j) = comlev1_thsice_1, key=ikey_1 |
| 311 |
CMLCADJ STORE hice(i,j) = comlev1_thsice_1, key=ikey_1 |
| 312 |
CMLCADJ STORE hsnow(i,j) = comlev1_thsice_1, key=ikey_1 |
| 313 |
CMLCADJ STORE icfrac(i,j) = comlev1_thsice_1, key=ikey_1 |
| 314 |
CMLCADJ STORE qic1(i,j) = comlev1_thsice_1, key=ikey_1 |
| 315 |
CMLCADJ STORE qic2(i,j) = comlev1_thsice_1, key=ikey_1 |
| 316 |
CML#endif |
| 317 |
|
| 318 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 319 |
qicen(i,j,1)= qIc1(i,j) |
| 320 |
qicen(i,j,2)= qIc2(i,j) |
| 321 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 322 |
C initialize energies |
| 323 |
esurp(i,j) = 0. _d 0 |
| 324 |
|
| 325 |
c make a local copy of evaporation |
| 326 |
evapLoc(i,j) = frwAtm(i,j) |
| 327 |
|
| 328 |
C------------------------------------------------------------------------ |
| 329 |
C-- Compute growth and/or melting at the top and bottom surfaces |
| 330 |
C------------------------------------------------------------------------ |
| 331 |
|
| 332 |
#ifdef THSICE_FRACEN_POWERLAW |
| 333 |
xxMlt = aMlt*(hIce(i,j)-hMlt) |
| 334 |
xxFrz = aFrz*(hIce(i,j)-hFrz) |
| 335 |
c-- |
| 336 |
IF ( powerLawExp2 .GE. 1 ) THEN |
| 337 |
#ifdef TARGET_NEC_SX |
| 338 |
C avoid the short inner loop that cannot be vectorized |
| 339 |
xxMlt = xxMlt**powerLaw |
| 340 |
xxFrz = xxFrz**powerLaw |
| 341 |
#else |
| 342 |
tmpMlt = xxMlt |
| 343 |
tmpFrz = xxFrz |
| 344 |
DO k=1,powerLawExp2 |
| 345 |
tmpMlt = tmpMlt*tmpMlt |
| 346 |
tmpFrz = tmpFrz*tmpFrz |
| 347 |
ENDDO |
| 348 |
xxMlt = xxMlt*tmpMlt |
| 349 |
xxFrz = xxFrz*tmpFrz |
| 350 |
#endif /* TARGET_NEC_SX */ |
| 351 |
xxMlt = fracEnMelt -xxMlt |
| 352 |
xxFrz = fracEnFreez-xxFrz |
| 353 |
ENDIF |
| 354 |
enFrcMlt(i,j) = MAX( 0. _d 0, MIN( xxMlt, 1. _d 0 ) ) |
| 355 |
enFrcFrz(i,j) = MAX( 0. _d 0, MIN( xxFrz, 1. _d 0 ) ) |
| 356 |
#endif /* THSICE_FRACEN_POWERLAW */ |
| 357 |
|
| 358 |
IF (fzMlOc(i,j).GE. 0. _d 0) THEN |
| 359 |
C !----------------------------------------------------------------- |
| 360 |
C ! freezing conditions |
| 361 |
C !----------------------------------------------------------------- |
| 362 |
Fbot(i,j) = fzMlOc(i,j) |
| 363 |
IF ( icFrac(i,j).LT.iceMaskMax ) THEN |
| 364 |
#ifdef THSICE_FRACEN_POWERLAW |
| 365 |
Fbot(i,j) = enFrcFrz(i,j)*fzMlOc(i,j) |
| 366 |
#else /* THSICE_FRACEN_POWERLAW */ |
| 367 |
IF (hIce(i,j).GT.hThickIce) THEN |
| 368 |
C if higher than hThickIce, use all fzMlOc energy to grow extra ice |
| 369 |
Fbot(i,j) = 0. _d 0 |
| 370 |
ELSEIF (hIce(i,j).GE.hThinIce) THEN |
| 371 |
C between hThinIce & hThickIce, use partition factor fracEnFreez |
| 372 |
Fbot(i,j) = (1. _d 0 - fracEnFreez)*fzMlOc(i,j) |
| 373 |
ENDIF |
| 374 |
#endif /* THSICE_FRACEN_POWERLAW */ |
| 375 |
ENDIF |
| 376 |
ELSE |
| 377 |
C !----------------------------------------------------------------- |
| 378 |
C ! melting conditions |
| 379 |
C !----------------------------------------------------------------- |
| 380 |
C for no currents: |
| 381 |
ustar = 5. _d -2 |
| 382 |
C frictional velocity between ice and water |
| 383 |
IF (v2oc(i,j) .NE. 0.) |
| 384 |
& ustar = SQRT(0.00536 _d 0*v2oc(i,j)) |
| 385 |
ustar=max(5. _d -3,ustar) |
| 386 |
cpchr =cpWater*rhosw*bMeltCoef |
| 387 |
Fbot(i,j) = cpchr*(tFrz(i,j)-tOce(i,j))*ustar |
| 388 |
C fzMlOc < Fbot < 0 |
| 389 |
Fbot(i,j) = max(Fbot(i,j),fzMlOc(i,j)) |
| 390 |
Fbot(i,j) = min(Fbot(i,j),0. _d 0) |
| 391 |
ENDIF |
| 392 |
|
| 393 |
C mass of fresh water and salt initially present in ice |
| 394 |
mwater0(i,j) = rhos*hSnow(i,j) + rhoi*hIce(i,j) |
| 395 |
msalt0 (i,j) = rhoi*hIce(i,j)*saltIce |
| 396 |
|
| 397 |
#ifdef ALLOW_DBUG_THSICE |
| 398 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 399 |
& 'ThSI_CALC_TH: evpAtm, fzMlOc, Fbot =', |
| 400 |
& frwAtm(i,j),fzMlOc(i,j),Fbot(i,j) |
| 401 |
#endif |
| 402 |
C endif iceMask > 0 |
| 403 |
ENDIF |
| 404 |
C end i/j-loops |
| 405 |
ENDDO |
| 406 |
ENDDO |
| 407 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 408 |
DO j = jMin, jMax |
| 409 |
DO i = iMin, iMax |
| 410 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 411 |
|
| 412 |
C Compute energy available for melting/growth. |
| 413 |
|
| 414 |
#ifdef THSICE_FRACEN_POWERLAW |
| 415 |
IF ( fracEnMelt.EQ.0. _d 0 ) THEN |
| 416 |
frace = 0. _d 0 |
| 417 |
ELSE |
| 418 |
frace = (icFrac(i,j) - lowIcFrac1)/(lowIcFrac2-iceMaskMin) |
| 419 |
frace = MIN( enFrcMlt(i,j), MAX( 0. _d 0, frace ) ) |
| 420 |
ENDIF |
| 421 |
#else /* THSICE_FRACEN_POWERLAW */ |
| 422 |
IF ( hIce(i,j).GT.hThickIce .OR. fracEnMelt.EQ.0. _d 0 ) THEN |
| 423 |
C above certain height (or when no ice fractionation), only melt from top |
| 424 |
frace = 0. _d 0 |
| 425 |
ELSEIF (hIce(i,j).LT.hThinIce) THEN |
| 426 |
C below a certain height, all energy goes to changing ice extent |
| 427 |
frace = 1. _d 0 |
| 428 |
ELSE |
| 429 |
frace = fracEnMelt |
| 430 |
ENDIF |
| 431 |
C Reduce lateral melting when ice fraction is low : the purpose is to avoid |
| 432 |
C disappearing of (up to hThinIce thick) sea-ice by over doing lateral melting |
| 433 |
C (which would bring icFrac below iceMaskMin). |
| 434 |
IF ( icFrac(i,j).LE.lowIcFrac1 ) THEN |
| 435 |
frace = 0. _d 0 |
| 436 |
ELSEIF (icFrac(i,j).LE.lowIcFrac2 ) THEN |
| 437 |
frace = MIN( frace, fracEnMelt ) |
| 438 |
ENDIF |
| 439 |
#endif /* THSICE_FRACEN_POWERLAW */ |
| 440 |
|
| 441 |
c IF (tSrf(i,j) .EQ. 0. _d 0 .AND. sHeat(i,j).GT.0. _d 0) THEN |
| 442 |
IF ( sHeat(i,j).GT.0. _d 0 ) THEN |
| 443 |
etop(i,j) = (1. _d 0-frace)*sHeat(i,j) * dt |
| 444 |
etope(i,j) = frace*sHeat(i,j) * dt |
| 445 |
ELSE |
| 446 |
etop(i,j) = 0. _d 0 |
| 447 |
etope(i,j) = 0. _d 0 |
| 448 |
C jmc: found few cases where tSrf=0 & sHeat < 0 : add this line to conserv energy: |
| 449 |
esurp(i,j) = sHeat(i,j) * dt |
| 450 |
ENDIF |
| 451 |
C-- flux at the base of sea-ice: |
| 452 |
C conduction H.flx= flxCnB (+ =down); oceanic turbulent H.flx= Fbot (+ =down). |
| 453 |
C- ==> energy available(+ => melt)= (flxCnB-Fbot)*dt |
| 454 |
c IF (fzMlOc(i,j).LT.0. _d 0) THEN |
| 455 |
c ebot(i,j) = (1. _d 0-frace)*(flxCnB-Fbot(i,j)) * dt |
| 456 |
c ebote(i,j) = frace*(flxCnB-Fbot(i,j)) * dt |
| 457 |
c ELSE |
| 458 |
c ebot(i,j) = (flxCnB-Fbot(i,j)) * dt |
| 459 |
c ebote(i,j) = 0. _d 0 |
| 460 |
c ENDIF |
| 461 |
C- original formulation(above): Loose energy when flxCnB < Fbot < 0 |
| 462 |
ebot(i,j) = (flxCnB(i,j)-Fbot(i,j)) * dt |
| 463 |
IF (ebot(i,j).GT.0. _d 0) THEN |
| 464 |
ebote(i,j) = frace*ebot(i,j) |
| 465 |
ebot(i,j) = ebot(i,j)-ebote(i,j) |
| 466 |
ELSE |
| 467 |
ebote(i,j) = 0. _d 0 |
| 468 |
ENDIF |
| 469 |
#ifdef ALLOW_DBUG_THSICE |
| 470 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 471 |
& 'ThSI_CALC_TH: etop,etope,ebot,ebote=', |
| 472 |
& etop(i,j),etope(i,j),ebot(i,j),ebote(i,j) |
| 473 |
#endif |
| 474 |
C endif iceMask > 0 |
| 475 |
ENDIF |
| 476 |
C end i/j-loops |
| 477 |
ENDDO |
| 478 |
ENDDO |
| 479 |
|
| 480 |
C Initialize layer thicknesses. Divide total thickness equally between |
| 481 |
C layers |
| 482 |
DO k = 1, nlyr |
| 483 |
DO j = jMin, jMax |
| 484 |
DO i = iMin, iMax |
| 485 |
hnew(i,j,k) = hIce(i,j) * rec_nlyr |
| 486 |
ENDDO |
| 487 |
ENDDO |
| 488 |
ENDDO |
| 489 |
|
| 490 |
DO j = jMin, jMax |
| 491 |
DO i = iMin, iMax |
| 492 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 493 |
CMLCADJ STORE etop(i,j) = comlev1_thsice_1, key=ikey_1 |
| 494 |
CML#endif |
| 495 |
IF (iceMask(i,j) .GT. 0. _d 0 .AND. |
| 496 |
& etop(i,j) .GT. 0. _d 0 .AND. |
| 497 |
& hSnow(i,j) .GT. 0. _d 0) THEN |
| 498 |
|
| 499 |
C Make sure internal ice temperatures do not exceed Tmlt. |
| 500 |
C If they do, then eliminate the layer. (Dont think this will happen |
| 501 |
C for reasonable values of i0.) |
| 502 |
C Top melt: snow, then ice. |
| 503 |
rq = rhos * qsnow |
| 504 |
rqh = rq * hSnow(i,j) |
| 505 |
IF (etop(i,j) .LT. rqh) THEN |
| 506 |
hSnow(i,j) = hSnow(i,j) - etop(i,j)/rq |
| 507 |
etop(i,j) = 0. _d 0 |
| 508 |
ELSE |
| 509 |
etop(i,j) = etop(i,j) - rqh |
| 510 |
hSnow(i,j) = 0. _d 0 |
| 511 |
ENDIF |
| 512 |
C endif iceMask > 0, etc. |
| 513 |
ENDIF |
| 514 |
C end i/j-loops |
| 515 |
ENDDO |
| 516 |
ENDDO |
| 517 |
C two layers of ice |
| 518 |
DO k = 1, nlyr |
| 519 |
DO j = jMin, jMax |
| 520 |
DO i = iMin, iMax |
| 521 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 522 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 523 |
CML ikey_2 = k |
| 524 |
CML & + nlyr*(i-1) |
| 525 |
CML & + nlyr*sNx*(j-1) |
| 526 |
CML & + nlyr*sNx*sNy*act1 |
| 527 |
CML & + nlyr*sNx*sNy*max1*act2 |
| 528 |
CML & + nlyr*sNx*sNy*max1*max2*act3 |
| 529 |
CML & + nlyr*sNx*sNy*max1*max2*max3*act4 |
| 530 |
CML#endif |
| 531 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 532 |
CMLCADJ STORE etop(i,j) = comlev1_thsice_2, key=ikey_2 |
| 533 |
CMLCADJ STORE hnew(i,j,k) = comlev1_thsice_2, key=ikey_2 |
| 534 |
CML#endif |
| 535 |
IF (etop(i,j) .GT. 0. _d 0) THEN |
| 536 |
rq = rhoi * qicen(i,j,k) |
| 537 |
rqh = rq * hnew(i,j,k) |
| 538 |
IF (etop(i,j) .LT. rqh) THEN |
| 539 |
hnew(i,j,k) = hnew(i,j,k) - etop(i,j) / rq |
| 540 |
etop(i,j) = 0. _d 0 |
| 541 |
ELSE |
| 542 |
etop(i,j) = etop(i,j) - rqh |
| 543 |
hnew(i,j,k) = 0. _d 0 |
| 544 |
ENDIF |
| 545 |
ELSE |
| 546 |
etop(i,j)=0. _d 0 |
| 547 |
ENDIF |
| 548 |
C If ice is gone and melting energy remains |
| 549 |
c IF (etop(i,j) .GT. 0. _d 0) THEN |
| 550 |
c WRITE (6,*) 'QQ All ice melts from top ', i,j |
| 551 |
c hIce(i,j)=0. _d 0 |
| 552 |
c go to 200 |
| 553 |
c ENDIF |
| 554 |
|
| 555 |
C endif iceMask > 0 |
| 556 |
ENDIF |
| 557 |
C end i/j-loops |
| 558 |
ENDDO |
| 559 |
ENDDO |
| 560 |
C end k-loop |
| 561 |
ENDDO |
| 562 |
|
| 563 |
DO j = jMin, jMax |
| 564 |
DO i = iMin, iMax |
| 565 |
IF (iceMask(i,j).GT.0. _d 0 .AND. ebot(i,j) .LT. 0. _d 0) THEN |
| 566 |
C Bottom melt/growth. |
| 567 |
C Compute enthalpy of new ice growing at bottom surface. |
| 568 |
qbot = -cpIce *tFrz(i,j) + Lfresh |
| 569 |
dhi = -ebot(i,j) / (qbot * rhoi) |
| 570 |
ebot(i,j) = 0. _d 0 |
| 571 |
cph k = nlyr |
| 572 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 573 |
CMLCADJ STORE hnew(i,j,:) = comlev1_thsice_1, key=ikey_1 |
| 574 |
CMLCADJ STORE qicen(i,j,:) = comlev1_thsice_1, key=ikey_1 |
| 575 |
CML#endif |
| 576 |
qicen(i,j,nlyr) = |
| 577 |
& (hnew(i,j,nlyr)*qicen(i,j,nlyr)+dhi*qbot) / |
| 578 |
& (hnew(i,j,nlyr)+dhi) |
| 579 |
hnew(i,j,nlyr) = hnew(i,j,nlyr) + dhi |
| 580 |
|
| 581 |
C endif iceMask > 0 and ebot < 0 |
| 582 |
ENDIF |
| 583 |
C end i/j-loops |
| 584 |
ENDDO |
| 585 |
ENDDO |
| 586 |
|
| 587 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 588 |
CADJ STORE etop(:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 589 |
CADJ STORE ebot(:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 590 |
CADJ STORE hnew(:,:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 591 |
CADJ STORE qicen(:,:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 592 |
#endif |
| 593 |
|
| 594 |
DO k = nlyr, 1, -1 |
| 595 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 596 |
CML ikey_2 = (nlyr-k+1) |
| 597 |
CML & + nlyr*(i-1) |
| 598 |
CML & + nlyr*sNx*(j-1) |
| 599 |
CML & + nlyr*sNx*sNy*act1 |
| 600 |
CML & + nlyr*sNx*sNy*max1*act2 |
| 601 |
CML & + nlyr*sNx*sNy*max1*max2*act3 |
| 602 |
CML & + nlyr*sNx*sNy*max1*max2*max3*act4 |
| 603 |
CML#endif |
| 604 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 605 |
CMLCADJ STORE ebot(i,j) = comlev1_thsice_2, key=ikey_2 |
| 606 |
CMLCADJ STORE hnew(i,j,k) = comlev1_thsice_2, key=ikey_2 |
| 607 |
CMLCADJ STORE qicen(i,j,k) = comlev1_thsice_2, key=ikey_2 |
| 608 |
CML#endif |
| 609 |
DO j = jMin, jMax |
| 610 |
DO i = iMin, iMax |
| 611 |
IF (iceMask(i,j) .GT. 0. _d 0 .AND. |
| 612 |
& ebot(i,j) .GT. 0. _d 0 .AND. |
| 613 |
& hnew(i,j,k) .GT. 0. _d 0) THEN |
| 614 |
rq = rhoi * qicen(i,j,k) |
| 615 |
rqh = rq * hnew(i,j,k) |
| 616 |
IF (ebot(i,j) .LT. rqh) THEN |
| 617 |
hnew(i,j,k) = hnew(i,j,k) - ebot(i,j) / rq |
| 618 |
ebot(i,j) = 0. _d 0 |
| 619 |
ELSE |
| 620 |
ebot(i,j) = ebot(i,j) - rqh |
| 621 |
hnew(i,j,k) = 0. _d 0 |
| 622 |
ENDIF |
| 623 |
C endif iceMask > 0 etc. |
| 624 |
ENDIF |
| 625 |
C end i/j-loops |
| 626 |
ENDDO |
| 627 |
ENDDO |
| 628 |
C end k-loop |
| 629 |
ENDDO |
| 630 |
C If ice melts completely and snow is left, remove the snow with |
| 631 |
C energy from the mixed layer |
| 632 |
DO j = jMin, jMax |
| 633 |
DO i = iMin, iMax |
| 634 |
IF (iceMask(i,j) .GT. 0. _d 0 .AND. |
| 635 |
& ebot(i,j) .GT. 0. _d 0 .AND. |
| 636 |
& hSnow(i,j) .GT. 0. _d 0) THEN |
| 637 |
rq = rhos * qsnow |
| 638 |
rqh = rq * hSnow(i,j) |
| 639 |
IF (ebot(i,j) .LT. rqh) THEN |
| 640 |
hSnow(i,j) = hSnow(i,j) - ebot(i,j) / rq |
| 641 |
ebot(i,j) = 0. _d 0 |
| 642 |
ELSE |
| 643 |
ebot(i,j) = ebot(i,j) - rqh |
| 644 |
hSnow(i,j) = 0. _d 0 |
| 645 |
ENDIF |
| 646 |
c IF (ebot(i,j) .GT. 0. _d 0) THEN |
| 647 |
c IF (dBug) WRITE(6,*) 'All ice (& snow) melts from bottom' |
| 648 |
c hIce(i,j)=0. _d 0 |
| 649 |
c go to 200 |
| 650 |
c ENDIF |
| 651 |
|
| 652 |
C endif iceMask > 0, etc. |
| 653 |
ENDIF |
| 654 |
C end i/j-loops |
| 655 |
ENDDO |
| 656 |
ENDDO |
| 657 |
DO j = jMin, jMax |
| 658 |
DO i = iMin, iMax |
| 659 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 660 |
C Compute new total ice thickness. |
| 661 |
hIce(i,j) = hnew(i,j,1) + hnew(i,j,2) |
| 662 |
#ifdef ALLOW_DBUG_THSICE |
| 663 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 664 |
& 'ThSI_CALC_TH: etop, ebot, hIce, hSnow =', |
| 665 |
& etop(i,j), ebot(i,j), hIce(i,j), hSnow(i,j) |
| 666 |
#endif |
| 667 |
|
| 668 |
C If hIce < hIceMin, melt the ice. |
| 669 |
IF ( hIce(i,j).LT.hIceMin |
| 670 |
& .AND. (hIce(i,j)+hSnow(i,j)).GT.0. _d 0 ) THEN |
| 671 |
esurp(i,j) = esurp(i,j) - rhos*qsnow*hSnow(i,j) |
| 672 |
& - rhoi*qicen(i,j,1)*hnew(i,j,1) |
| 673 |
& - rhoi*qicen(i,j,2)*hnew(i,j,2) |
| 674 |
hIce(i,j) = 0. _d 0 |
| 675 |
hSnow(i,j) = 0. _d 0 |
| 676 |
tSrf(i,j) = 0. _d 0 |
| 677 |
icFrac(i,j) = 0. _d 0 |
| 678 |
qicen(i,j,1) = 0. _d 0 |
| 679 |
qicen(i,j,2) = 0. _d 0 |
| 680 |
#ifdef ALLOW_DBUG_THSICE |
| 681 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 682 |
& 'ThSI_CALC_TH: -1 : esurp=',esurp(i,j) |
| 683 |
#endif |
| 684 |
ENDIF |
| 685 |
|
| 686 |
C endif iceMask > 0 |
| 687 |
ENDIF |
| 688 |
C end i/j-loops |
| 689 |
ENDDO |
| 690 |
ENDDO |
| 691 |
|
| 692 |
DO j = jMin, jMax |
| 693 |
DO i = iMin, iMax |
| 694 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 695 |
|
| 696 |
C-- do a mass-budget of sea-ice to compute "fresh" = the fresh-water flux |
| 697 |
C that is returned to the ocean ; needs to be done before snow/evap |
| 698 |
frw2oc(i,j) = (mwater0(i,j) |
| 699 |
& - (rhos*hSnow(i,j)+rhoi*hIce(i,j)))/dt |
| 700 |
|
| 701 |
IF ( hIce(i,j) .LE. 0. _d 0 ) THEN |
| 702 |
C- return snow to the ocean (account for Latent heat of freezing) |
| 703 |
frw2oc(i,j) = frw2oc(i,j) + snowP(i,j) |
| 704 |
flx2oc(i,j) = flx2oc(i,j) - snowP(i,j)*Lfresh |
| 705 |
ENDIF |
| 706 |
|
| 707 |
C endif iceMask > 0 |
| 708 |
ENDIF |
| 709 |
C end i/j-loops |
| 710 |
ENDDO |
| 711 |
ENDDO |
| 712 |
C- else: hIce > 0 |
| 713 |
DO j = jMin, jMax |
| 714 |
DO i = iMin, iMax |
| 715 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 716 |
|
| 717 |
IF ( hIce(i,j) .GT. 0. _d 0 ) THEN |
| 718 |
C Let it snow |
| 719 |
hSnow(i,j) = hSnow(i,j) + dt*snowP(i,j)/rhos |
| 720 |
C If ice evap is used to sublimate surface snow/ice or |
| 721 |
C if no ice pass on to ocean |
| 722 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 723 |
CMLCADJ STORE evapLoc(i,j) = comlev1_thsice_1, key=ikey_1 |
| 724 |
CMLCADJ STORE hSnow(i,j) = comlev1_thsice_1, key=ikey_1 |
| 725 |
CML#endif |
| 726 |
IF (hSnow(i,j).GT.0. _d 0) THEN |
| 727 |
IF (evapLoc(i,j)/rhos *dt.GT.hSnow(i,j)) THEN |
| 728 |
evapLoc(i,j)=evapLoc(i,j)-hSnow(i,j)*rhos/dt |
| 729 |
hSnow(i,j)=0. _d 0 |
| 730 |
ELSE |
| 731 |
hSnow(i,j) = hSnow(i,j) - evapLoc(i,j)/rhos *dt |
| 732 |
evapLoc(i,j)=0. _d 0 |
| 733 |
ENDIF |
| 734 |
ENDIF |
| 735 |
C endif hice > 0 |
| 736 |
ENDIF |
| 737 |
C endif iceMask > 0 |
| 738 |
ENDIF |
| 739 |
C end i/j-loops |
| 740 |
ENDDO |
| 741 |
ENDDO |
| 742 |
|
| 743 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 744 |
CADJ STORE evaploc(:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 745 |
CADJ STORE hnew(:,:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 746 |
#endif |
| 747 |
|
| 748 |
C- else: hIce > 0 |
| 749 |
DO k = 1, nlyr |
| 750 |
DO j = jMin, jMax |
| 751 |
DO i = iMin, iMax |
| 752 |
IF (iceMask(i,j).GT.0. _d 0 ) THEN |
| 753 |
|
| 754 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 755 |
CMLCADJ STORE evapLoc(i,j) = comlev1_thsice_1, key=ikey_1 |
| 756 |
CMLCADJ STORE hIce(i,j) = comlev1_thsice_1, key=ikey_1 |
| 757 |
CMLCADJ STORE hnew(i,j,:) = comlev1_thsice_1, key=ikey_1 |
| 758 |
CMLCADJ STORE qicen(i,j,:) = comlev1_thsice_1, key=ikey_1 |
| 759 |
CML#endif |
| 760 |
IF (hIce(i,j).GT.0. _d 0.AND.evapLoc(i,j).GT.0. _d 0) THEN |
| 761 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 762 |
CML ikey_2 = k |
| 763 |
CML & + nlyr*(i-1) |
| 764 |
CML & + nlyr*sNx*(j-1) |
| 765 |
CML & + nlyr*sNx*sNy*act1 |
| 766 |
CML & + nlyr*sNx*sNy*max1*act2 |
| 767 |
CML & + nlyr*sNx*sNy*max1*max2*act3 |
| 768 |
CML & + nlyr*sNx*sNy*max1*max2*max3*act4 |
| 769 |
CML#endif |
| 770 |
CMLC-- |
| 771 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 772 |
CMLCADJ STORE evapLoc(i,j) = comlev1_thsice_2, key=ikey_2 |
| 773 |
CMLCADJ STORE hnew(i,j,k) = comlev1_thsice_2, key=ikey_2 |
| 774 |
CMLCADJ STORE qicen(i,j,k) = comlev1_thsice_2, key=ikey_2 |
| 775 |
CML#endif |
| 776 |
C IF (evapLoc(i,j) .GT. 0. _d 0) THEN |
| 777 |
C-- original scheme, does not care about ice temp. |
| 778 |
C- this can produce small error (< 1.W/m2) in the Energy budget |
| 779 |
c IF (evapLoc(i,j)/rhoi *dt.GT.hnew(i,j,k)) THEN |
| 780 |
c evapLoc(i,j)=evapLoc(i,j)-hnew(i,j,k)*rhoi/dt |
| 781 |
c hnew(i,j,k)=0. _d 0 |
| 782 |
c ELSE |
| 783 |
c hnew(i,j,k) = hnew(i,j,k) - evapLoc(i,j)/rhoi *dt |
| 784 |
c evapLoc(i,j)=0. _d 0 |
| 785 |
c ENDIF |
| 786 |
C-- modified scheme. taking into account Ice enthalpy |
| 787 |
dhi = evapLoc(i,j)/rhoi*dt |
| 788 |
IF (dhi.GE.hnew(i,j,k)) THEN |
| 789 |
evapLoc(i,j)=evapLoc(i,j)-hnew(i,j,k)*rhoi/dt |
| 790 |
esurp(i,j) = esurp(i,j) |
| 791 |
& - hnew(i,j,k)*rhoi*(qicen(i,j,k)-Lfresh) |
| 792 |
hnew(i,j,k)=0. _d 0 |
| 793 |
ELSE |
| 794 |
CML#ifdef ALLOW_AUTODIFF_TAMC |
| 795 |
CMLCADJ STORE hnew(i,j,k) = comlev1_thsice_2, key=ikey_2 |
| 796 |
CML#endif |
| 797 |
hq = hnew(i,j,k)*qicen(i,j,k)-dhi*Lfresh |
| 798 |
hnew(i,j,k) = hnew(i,j,1) - dhi |
| 799 |
qicen(i,j,k)=hq/hnew(i,j,k) |
| 800 |
evapLoc(i,j)=0. _d 0 |
| 801 |
ENDIF |
| 802 |
C------- |
| 803 |
c IF (evapLoc(i,j) .GT. 0. _d 0) THEN |
| 804 |
c WRITE (6,*) 'BB All ice sublimates', i,j |
| 805 |
c hIce(i,j)=0. _d 0 |
| 806 |
c go to 200 |
| 807 |
c ENDIF |
| 808 |
C endif hice > 0 and evaploc > 0 |
| 809 |
ENDIF |
| 810 |
C endif iceMask > 0 |
| 811 |
ENDIF |
| 812 |
C end i/j-loops |
| 813 |
ENDDO |
| 814 |
ENDDO |
| 815 |
C end k-loop |
| 816 |
ENDDO |
| 817 |
|
| 818 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 819 |
CADJ STORE etop(:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 820 |
CADJ STORE icemask(:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 821 |
CADJ STORE hice(:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 822 |
CADJ STORE hnew(:,:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 823 |
CADJ STORE qicen(:,:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 824 |
#endif |
| 825 |
|
| 826 |
C still else: hice > 0 |
| 827 |
DO j = jMin, jMax |
| 828 |
DO i = iMin, iMax |
| 829 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 830 |
IF (hIce(i,j) .GT. 0. _d 0) THEN |
| 831 |
C Compute new total ice thickness. |
| 832 |
hIce(i,j) = hnew(i,j,1) + hnew(i,j,2) |
| 833 |
C If hIce < hIceMin, melt the ice. |
| 834 |
IF ( hIce(i,j).GT.0. _d 0 .AND. hIce(i,j).LT.hIceMin ) THEN |
| 835 |
frw2oc(i,j) = frw2oc(i,j) |
| 836 |
& + (rhos*hSnow(i,j) + rhoi*hIce(i,j))/dt |
| 837 |
esurp(i,j) = esurp(i,j) - rhos*qsnow*hSnow(i,j) |
| 838 |
& - rhoi*qicen(i,j,1)*hnew(i,j,1) |
| 839 |
& - rhoi*qicen(i,j,2)*hnew(i,j,2) |
| 840 |
hIce(i,j) = 0. _d 0 |
| 841 |
hSnow(i,j) = 0. _d 0 |
| 842 |
tSrf(i,j) = 0. _d 0 |
| 843 |
icFrac(i,j) = 0. _d 0 |
| 844 |
qicen(i,j,1) = 0. _d 0 |
| 845 |
qicen(i,j,2) = 0. _d 0 |
| 846 |
#ifdef ALLOW_DBUG_THSICE |
| 847 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 848 |
& 'ThSI_CALC_TH: -2 : esurp,frw2oc=', |
| 849 |
& esurp(i,j), frw2oc(i,j) |
| 850 |
#endif |
| 851 |
ENDIF |
| 852 |
|
| 853 |
C-- else hIce > 0: end |
| 854 |
ENDIF |
| 855 |
|
| 856 |
C endif iceMask > 0 |
| 857 |
ENDIF |
| 858 |
C end i/j-loops |
| 859 |
ENDDO |
| 860 |
ENDDO |
| 861 |
|
| 862 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 863 |
CADJ STORE icemask(:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 864 |
CADJ STORE hice(:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 865 |
CADJ STORE hnew(:,:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 866 |
CADJ STORE hsnow(:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 867 |
CADJ STORE qicen(:,:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 868 |
#endif |
| 869 |
|
| 870 |
DO j = jMin, jMax |
| 871 |
DO i = iMin, iMax |
| 872 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 873 |
|
| 874 |
IF ( hIce(i,j) .GT. 0. _d 0 ) THEN |
| 875 |
|
| 876 |
C If there is enough snow to lower the ice/snow interface below |
| 877 |
C freeboard, convert enough snow to ice to bring the interface back |
| 878 |
C to sea-level OR if snow height is larger than hsMax, snow is |
| 879 |
C converted to ice to bring hSnow down to hsMax. Largest change is |
| 880 |
C applied and enthalpy of top ice layer adjusted accordingly. |
| 881 |
|
| 882 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 883 |
ikey_1 = i |
| 884 |
& + sNx*(j-1) |
| 885 |
& + sNx*sNy*act1 |
| 886 |
& + sNx*sNy*max1*act2 |
| 887 |
& + sNx*sNy*max1*max2*act3 |
| 888 |
& + sNx*sNy*max1*max2*max3*act4 |
| 889 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 890 |
|
| 891 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 892 |
CADJ STORE hIce(i,j) = comlev1_thsice_1, key=ikey_1 |
| 893 |
CADJ STORE hSnow(i,j) = comlev1_thsice_1, key=ikey_1 |
| 894 |
CADJ STORE hnew(i,j,:) = comlev1_thsice_1, key=ikey_1 |
| 895 |
CADJ STORE qicen(i,j,:) = comlev1_thsice_1, key=ikey_1 |
| 896 |
#endif |
| 897 |
IF ( hSnow(i,j) .GT. hIce(i,j)*floodFac |
| 898 |
& .OR. hSnow(i,j) .GT. hsMax ) THEN |
| 899 |
cBB WRITE (6,*) 'Freeboard adjusts' |
| 900 |
c dhi = (hSnow(i,j) * rhos - hIce(i,j) * rhoiw) / rhosw |
| 901 |
c dhs = dhi * rhoi / rhos |
| 902 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 903 |
CADJ STORE hnew(i,j,:) = comlev1_thsice_1, key=ikey_1 |
| 904 |
#endif |
| 905 |
dhs = (hSnow(i,j) - hIce(i,j)*floodFac) * rhoi / rhosw |
| 906 |
dhs = MAX( hSnow(i,j) - hsMax, dhs ) |
| 907 |
dhi = dhs * rhos / rhoi |
| 908 |
rqh = rhoi*qicen(i,j,1)*hnew(i,j,1) + rhos*qsnow*dhs |
| 909 |
hnew(i,j,1) = hnew(i,j,1) + dhi |
| 910 |
qicen(i,j,1) = rqh / (rhoi*hnew(i,j,1)) |
| 911 |
hIce(i,j) = hIce(i,j) + dhi |
| 912 |
hSnow(i,j) = hSnow(i,j) - dhs |
| 913 |
ENDIF |
| 914 |
|
| 915 |
|
| 916 |
C limit ice height |
| 917 |
C- NOTE: this part does not conserve Energy ; |
| 918 |
C but surplus of fresh water and salt are taken into account. |
| 919 |
IF (hIce(i,j).GT.hiMax) THEN |
| 920 |
cBB print*,'BBerr, hIce>hiMax',i,j,hIce(i,j) |
| 921 |
chi=hIce(i,j)-hiMax |
| 922 |
hnew(i,j,1)=hnew(i,j,1)-chi/2. _d 0 |
| 923 |
hnew(i,j,2)=hnew(i,j,2)-chi/2. _d 0 |
| 924 |
frw2oc(i,j) = frw2oc(i,j) + chi*rhoi/dt |
| 925 |
ENDIF |
| 926 |
c IF (hSnow(i,j).GT.hsMax) THEN |
| 927 |
cc print*,'BBerr, hSnow>hsMax',i,j,hSnow(i,j) |
| 928 |
c chs=hSnow(i,j)-hsMax |
| 929 |
c hSnow(i,j)=hsMax |
| 930 |
c frw2oc(i,j) = frw2oc(i,j) + chs*rhos/dt |
| 931 |
c ENDIF |
| 932 |
|
| 933 |
C Compute new total ice thickness. |
| 934 |
hIce(i,j) = hnew(i,j,1) + hnew(i,j,2) |
| 935 |
|
| 936 |
#ifdef ALLOW_DBUG_THSICE |
| 937 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 938 |
& 'ThSI_CALC_TH: b-Winton: hnew, qice =', |
| 939 |
& hnew(i,j,1), hnew(i,j,2), |
| 940 |
& qicen(i,j,1), qicen(i,j,2) |
| 941 |
#endif |
| 942 |
|
| 943 |
hlyr = hIce(i,j) * rec_nlyr |
| 944 |
CML CALL THSICE_RESHAPE_LAYERS( |
| 945 |
CML U qicen(i,j,:), |
| 946 |
CML I hlyr, hnew(i,j,:), myThid ) |
| 947 |
C inlined version of S/R THSICE_RESHAPE_LAYERS |
| 948 |
C | Repartition into equal-thickness layers, conserving energy. |
| 949 |
C *==========================================================* |
| 950 |
C | This is the 2-layer version (formerly "NEW_LAYERS_WINTON") |
| 951 |
C | from M. Winton 1999, JAOT, sea-ice model. |
| 952 |
if (hnew(i,j,1).gt.hnew(i,j,2)) then |
| 953 |
C-- Layer 1 gives ice to layer 2 |
| 954 |
f1 = (hnew(i,j,1)-hlyr)/hlyr |
| 955 |
q2tmp = f1*qicen(i,j,1) + (1. _d 0-f1)*qicen(i,j,2) |
| 956 |
if (q2tmp.gt.Lfresh) then |
| 957 |
qicen(i,j,2) = q2tmp |
| 958 |
else |
| 959 |
C- Keep q2 fixed to avoid q2<Lfresh and T2>0 |
| 960 |
qh2 = hlyr*qicen(i,j,2) |
| 961 |
qhtot = hnew(i,j,1)*qicen(i,j,1) + hnew(i,j,2)*qicen(i,j,2) |
| 962 |
qh1 = qhtot - qh2 |
| 963 |
qicen(i,j,1) = qh1/hlyr |
| 964 |
endif |
| 965 |
else |
| 966 |
C- Layer 2 gives ice to layer 1 |
| 967 |
f1 = hnew(i,j,1)/hlyr |
| 968 |
qicen(i,j,1) = f1*qicen(i,j,1) + (1. _d 0-f1)*qicen(i,j,2) |
| 969 |
endif |
| 970 |
C end of inlined S/R THSICE_RESHAPE_LAYERS |
| 971 |
|
| 972 |
#ifdef ALLOW_DBUG_THSICE |
| 973 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 974 |
& 'ThSI_CALC_TH: icFrac,hIce, qtot, hSnow =', |
| 975 |
& icFrac(i,j),hIce(i,j), (qicen(i,j,1)+qicen(i,j,2))*0.5, |
| 976 |
& hSnow(i,j) |
| 977 |
#endif |
| 978 |
|
| 979 |
C- if hIce > 0 : end |
| 980 |
ENDIF |
| 981 |
200 CONTINUE |
| 982 |
|
| 983 |
C endif iceMask > 0 |
| 984 |
ENDIF |
| 985 |
C end i/j-loops |
| 986 |
ENDDO |
| 987 |
ENDDO |
| 988 |
|
| 989 |
DO j = jMin, jMax |
| 990 |
DO i = iMin, iMax |
| 991 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 992 |
C- Compute surplus energy left over from melting. |
| 993 |
|
| 994 |
IF (hIce(i,j).LE.0. _d 0) icFrac(i,j)=0. _d 0 |
| 995 |
|
| 996 |
C.. heat fluxes left over for ocean |
| 997 |
flx2oc(i,j) = flx2oc(i,j) |
| 998 |
& + (Fbot(i,j)+(esurp(i,j)+etop(i,j)+ebot(i,j))/dt) |
| 999 |
#ifdef ALLOW_DBUG_THSICE |
| 1000 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 1001 |
& 'ThSI_CALC_TH: [esurp,etop+ebot]/dt =', |
| 1002 |
& esurp(i,j)/dt,etop(i,j)/dt,ebot(i,j)/dt |
| 1003 |
#endif |
| 1004 |
|
| 1005 |
C-- Evaporation left to the ocean : |
| 1006 |
frw2oc(i,j) = frw2oc(i,j) - evapLoc(i,j) |
| 1007 |
C-- Correct Atmos. fluxes for this different latent heat: |
| 1008 |
C evap was computed over freezing surf.(tSrf<0), latent heat = Lvap+Lfresh |
| 1009 |
C but should be Lvap only for the fraction "evap" that is left to the ocean. |
| 1010 |
flx2oc(i,j) = flx2oc(i,j) + evapLoc(i,j)*Lfresh |
| 1011 |
|
| 1012 |
C fresh and salt fluxes |
| 1013 |
c frw2oc(i,j) = (mwater0(i,j) - (rhos*(hSnow(i,j)) |
| 1014 |
c & + rhoi*(hIce(i,j))))/dt-evapLoc(i,j) |
| 1015 |
c fsalt = (msalt0(i,j) - rhoi*hIce(i,j)*saltIce)/35. _d 0/dt ! for same units as frw2oc |
| 1016 |
C note (jmc): frw2oc is computed from a sea-ice mass budget that already |
| 1017 |
C contains, at this point, snow & evaporation (of snow & ice) |
| 1018 |
C but are not meant to be part of ice/ocean fresh-water flux. |
| 1019 |
C fix: a) like below or b) by making the budget before snow/evap is added |
| 1020 |
c frw2oc(i,j) = (mwater0(i,j) - (rhos*(hSnow(i,j)) + rhoi*(hIce(i,j))))/dt |
| 1021 |
c & + snow(i,j,bi,bj)*rhos - frwAtm |
| 1022 |
fsalt(i,j) = (msalt0(i,j) - rhoi*hIce(i,j)*saltIce)/dt |
| 1023 |
|
| 1024 |
#ifdef ALLOW_DBUG_THSICE |
| 1025 |
IF (dBug(i,j,bi,bj) ) THEN |
| 1026 |
WRITE(6,1020)'ThSI_CALC_TH:dH2O,Ev[kg],frw2oc,fsalt', |
| 1027 |
& (mwater0(i,j)-(rhos*hSnow(i,j)+rhoi*hIce(i,j)))/dt, |
| 1028 |
& evapLoc(i,j),frw2oc(i,j),fsalt(i,j) |
| 1029 |
WRITE(6,1020)'ThSI_CALC_TH: flx2oc,Fbot,extend/dt =', |
| 1030 |
& flx2oc(I,J),Fbot(i,j),(etope(i,j)+ebote(i,j))/dt |
| 1031 |
ENDIF |
| 1032 |
#endif |
| 1033 |
|
| 1034 |
C-- add remaining liquid Precip (rain+RunOff) directly to ocean: |
| 1035 |
frw2oc(i,j) = frw2oc(i,j) + (prcAtm(i,j)-snowP(i,j)) |
| 1036 |
|
| 1037 |
C endif iceMask > 0 |
| 1038 |
ENDIF |
| 1039 |
C end i/j-loops |
| 1040 |
ENDDO |
| 1041 |
ENDDO |
| 1042 |
|
| 1043 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 1044 |
CADJ STORE icemask(:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 1045 |
CADJ STORE icfrac(:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 1046 |
CADJ STORE hnew(:,:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 1047 |
CADJ STORE hsnow(:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 1048 |
CADJ STORE qicen(:,:,:) = comlev1_bibj, key=ticekey, byte=isbyte |
| 1049 |
#endif |
| 1050 |
|
| 1051 |
DO j = jMin, jMax |
| 1052 |
DO i = iMin, iMax |
| 1053 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 1054 |
C-- note: at this point, icFrac has not been changed (unless reset to zero) |
| 1055 |
C and it can only be reduced by lateral melting in the following part: |
| 1056 |
|
| 1057 |
C calculate extent changes |
| 1058 |
extend=etope(i,j)+ebote(i,j) |
| 1059 |
IF (icFrac(i,j).GT.0. _d 0.AND.extend.GT.0. _d 0) THEN |
| 1060 |
rq = rhoi * 0.5 _d 0*(qicen(i,j,1)+qicen(i,j,2)) |
| 1061 |
rs = rhos * qsnow |
| 1062 |
rqh = rq * hIce(i,j) + rs * hSnow(i,j) |
| 1063 |
freshe=(rhos*hSnow(i,j)+rhoi*hIce(i,j))/dt |
| 1064 |
salte=(rhoi*hIce(i,j)*saltIce)/dt |
| 1065 |
IF ( extend.LT.rqh ) THEN |
| 1066 |
icFrac(i,j)=(1. _d 0-extend/rqh)*icFrac(i,j) |
| 1067 |
ENDIF |
| 1068 |
IF ( extend.LT.rqh .AND. icFrac(i,j).GE.iceMaskMin ) THEN |
| 1069 |
frw2oc(i,j)=frw2oc(i,j)+extend/rqh*freshe |
| 1070 |
fsalt(i,j)=fsalt(i,j)+extend/rqh*salte |
| 1071 |
ELSE |
| 1072 |
icFrac(i,j)=0. _d 0 |
| 1073 |
hIce(i,j) =0. _d 0 |
| 1074 |
hSnow(i,j) =0. _d 0 |
| 1075 |
flx2oc(i,j)=flx2oc(i,j)+(extend-rqh)/dt |
| 1076 |
frw2oc(i,j)=frw2oc(i,j)+freshe |
| 1077 |
fsalt(i,j)=fsalt(i,j)+salte |
| 1078 |
ENDIF |
| 1079 |
ELSEIF (extend.GT.0. _d 0) THEN |
| 1080 |
flx2oc(i,j)=flx2oc(i,j)+extend/dt |
| 1081 |
ENDIF |
| 1082 |
C endif iceMask > 0 |
| 1083 |
ENDIF |
| 1084 |
C end i/j-loops |
| 1085 |
ENDDO |
| 1086 |
ENDDO |
| 1087 |
DO j = jMin, jMax |
| 1088 |
DO i = iMin, iMax |
| 1089 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 1090 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1091 |
C-- Update output variables : |
| 1092 |
|
| 1093 |
C-- Diagnostic of Atmos. fresh water flux (E-P) over sea-ice : |
| 1094 |
C substract precip from Evap (<- stored in frwAtm array) |
| 1095 |
frwAtm(i,j) = frwAtm(i,j) - prcAtm(i,j) |
| 1096 |
|
| 1097 |
C-- update Mixed-Layer Freezing potential heat flux by substracting the |
| 1098 |
C part which has already been accounted for (Fbot): |
| 1099 |
fzMlOc(i,j) = fzMlOc(i,j) - Fbot(i,j)*iceMask(i,j) |
| 1100 |
|
| 1101 |
C-- Update Sea-Ice state output: |
| 1102 |
qIc1(i,j) = qicen(i,j,1) |
| 1103 |
qIc2(i,j) = qicen(i,j,2) |
| 1104 |
#ifdef ALLOW_DBUG_THSICE |
| 1105 |
IF (dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 1106 |
& 'ThSI_CALC_TH: icFrac,flx2oc,fsalt,frw2oc=', |
| 1107 |
& icFrac(i,j), flx2oc(i,j), fsalt(i,j), frw2oc(i,j) |
| 1108 |
#endif |
| 1109 |
C endif iceMask > 0 |
| 1110 |
ENDIF |
| 1111 |
ENDDO |
| 1112 |
ENDDO |
| 1113 |
|
| 1114 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1115 |
#ifdef CHECK_ENERGY_CONSERV |
| 1116 |
DO j = jMin, jMax |
| 1117 |
DO i = iMin, iMax |
| 1118 |
IF (iceMask(i,j).GT.0. _d 0) THEN |
| 1119 |
qaux(1)=qIc1(i,j) |
| 1120 |
qaux(2)=qIc2(i,j) |
| 1121 |
CALL THSICE_CHECK_CONSERV( dBugFlag, i, j, bi, bj, 0, |
| 1122 |
I iceMask(i,j), icFrac(i,j), hIce(i,j), hSnow(i,j), |
| 1123 |
I qaux, |
| 1124 |
I flx2oc(i,j), frw2oc(i,j), fsalt, |
| 1125 |
I myTime, myIter, myThid ) |
| 1126 |
C endif iceMask > 0 |
| 1127 |
ENDIF |
| 1128 |
C end i/j-loops |
| 1129 |
ENDDO |
| 1130 |
ENDDO |
| 1131 |
#endif /* CHECK_ENERGY_CONSERV */ |
| 1132 |
|
| 1133 |
#endif /* ALLOW_THSICE */ |
| 1134 |
|
| 1135 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1136 |
|
| 1137 |
RETURN |
| 1138 |
END |
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