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C $Header: /u/gcmpack/MITgcm/pkg/thsice/thsice_solve4temp.F,v 1.28 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_SOLVE4TEMP |
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C !INTERFACE: |
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SUBROUTINE THSICE_SOLVE4TEMP( |
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I bi, bj, |
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I iMin,iMax, jMin,jMax, dBugFlag, |
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I useBulkForce, useEXF, |
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I iceMask, hIce, hSnow, tFrz, flxExSW, |
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U flxSW, tSrf, qIc1, qIc2, |
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O tIc1, tIc2, dTsrf, |
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O sHeat, flxCnB, flxAtm, evpAtm, |
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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_SOLVE4TEMP |
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C *==========================================================* |
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C | Solve (implicitly) for sea-ice and surface temperature |
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C *==========================================================* |
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C \ev |
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|
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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 !USES: |
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IMPLICIT NONE |
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|
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C == Global variables === |
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#include "EEPARAMS.h" |
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#include "SIZE.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 useBulkForce:: use surf. fluxes from bulk-forcing external S/R |
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C useEXF :: use surf. fluxes from exf external S/R |
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C--- Input: |
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C iceMask :: sea-ice fractional mask [0-1] |
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C hIce :: ice height [m] |
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C hSnow :: snow height [m] |
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C tFrz :: sea-water freezing temperature [oC] (function of S) |
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C flxExSW :: surf. heat flux (+=down) except SW, function of surf. temp Ts: |
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C 0: Flx(Ts=0) ; 1: Flx(Ts=Ts^n) ; 2: d.Flx/dTs(Ts=Ts^n) |
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C--- Modified (input&output): |
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C flxSW :: net Short-Wave flux (+=down) [W/m2]: input= at surface |
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C :: output= below sea-ice, into the ocean |
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C tSrf :: surface (ice or snow) temperature |
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C qIc1 :: ice enthalpy (J/kg), 1rst level |
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C qIc2 :: ice enthalpy (J/kg), 2nd level |
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C--- Output |
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C tIc1 :: temperature of ice layer 1 [oC] |
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C tIc2 :: temperature of ice layer 2 [oC] |
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C dTsrf :: surf. temp adjusment: Ts^n+1 - Ts^n |
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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 flxAtm :: net flux of energy from the atmosphere [W/m2] (+=down) |
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C without snow precip. (energy=0 for liquid water at 0.oC) |
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C evpAtm :: evaporation to the atmosphere [kg/m2/s] (>0 if evaporate) |
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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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LOGICAL useBulkForce |
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LOGICAL useEXF |
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_RL iceMask(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 tFrz (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL flxExSW(iMin:iMax,jMin:jMax,0:2) |
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_RL flxSW (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 tIc1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL tIc2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dTsrf (iMin:iMax,jMin:jMax) |
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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 flxAtm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL evpAtm (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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C !LOCAL VARIABLES: |
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C == Local Variables == |
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C useBlkFlx :: use some bulk-formulae to compute fluxes over sea-ice |
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C :: (otherwise, fluxes are passed as argument from AIM) |
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C iterate4Tsf :: to stop to iterate when all icy grid pts Tsf did converged |
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C iceFlag :: True= do iterate for Surf.Temp ; False= do nothing |
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C frsnow :: fractional snow cover |
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C fswpen :: SW penetrating beneath surface (W m-2) |
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C fswdn :: SW absorbed at surface (W m-2) |
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C fswint :: SW absorbed in ice (W m-2) |
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C fswocn :: SW passed through ice to ocean (W m-2) |
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C Tsf :: surface (ice or snow) temperature (local copy of tSrf) |
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C flx0exSW :: net surface heat flux over melting snow/ice, except short-wave. |
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C flxTexSW :: net surface heat flux, except short-wave (W/m2) |
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C dFlxdT :: deriv of flxNet wrt Tsf (W m-2 deg-1) |
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C evap0 :: evaporation over melting snow/ice [kg/m2/s] (>0 if evaporate) |
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C evapT :: evaporation over snow/ice [kg/m2/s] (>0 if evaporate) |
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C dEvdT :: derivative of evap. with respect to Tsf [kg/m2/s/K] |
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C flxNet :: net surf heat flux (+=down), from Atmos. to sea-ice (W m-2) |
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C netSW :: net Short-Wave flux at surface (+=down) [W/m2] |
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C fct :: heat conducted to top surface |
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C k12, k32 :: thermal conductivity terms |
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C a10,b10,c10 :: coefficients in quadratic eqn for T1 |
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C a1, b1, c1 :: coefficients in quadratic eqn for T1 |
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C dt :: timestep |
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LOGICAL useBlkFlx |
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LOGICAL iterate4Tsf |
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LOGICAL iceFlag(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER i, j, k, iterMax |
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INTEGER ii, jj, icount, stdUnit |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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_RL frsnow |
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_RL fswpen |
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_RL fswdn |
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_RL fswint |
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_RL fswocn |
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_RL Tsf (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL flx0exSW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL flxTexSW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dFlxdT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL evap0 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL evapT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dEvdT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL flxNet |
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_RL fct |
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_RL k12 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL k32 |
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_RL a10 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL b10 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL c10 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL a1, b1, c1 |
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_RL dt |
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_RL recip_dhSnowLin |
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#ifdef ALLOW_DBUG_THSICE |
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_RL netSW |
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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,I3,3F11.6) |
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1020 FORMAT(A,1P4E14.6) |
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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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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE flxsw(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
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DO j = 1-OLy, sNy+OLy |
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DO i = 1-OLx, sNx+OLx |
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tIc1(i,j) = 0. _d 0 |
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tIc2(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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#endif |
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|
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stdUnit = standardMessageUnit |
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useBlkFlx = useEXF .OR. useBulkForce |
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dt = thSIce_dtTemp |
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IF ( dhSnowLin.GT.0. _d 0 ) THEN |
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recip_dhSnowLin = 1. _d 0 / dhSnowLin |
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ELSE |
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recip_dhSnowLin = 0. _d 0 |
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ENDIF |
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|
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iterate4Tsf = .FALSE. |
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icount = 0 |
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|
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DO j = jMin, jMax |
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DO i = iMin, iMax |
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#ifdef ALLOW_AUTODIFF_TAMC |
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c ikey_1 = i |
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c & + sNx*(j-1) |
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c & + sNx*sNy*act1 |
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c & + sNx*sNy*max1*act2 |
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c & + sNx*sNy*max1*max2*act3 |
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c & + sNx*sNy*max1*max2*max3*act4 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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#ifdef ALLOW_AUTODIFF_TAMC |
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cCADJ STORE devdt(i,j) = comlev1_thsice_1, key=ikey_1 |
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cCADJ STORE dFlxdT(i,j) = comlev1_thsice_1, key=ikey_1 |
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cCADJ STORE flxsw(i,j) = comlev1_thsice_1, key=ikey_1 |
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cCADJ STORE qic1(i,j) = comlev1_thsice_1, key=ikey_1 |
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cCADJ STORE qic2(i,j) = comlev1_thsice_1, key=ikey_1 |
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cCADJ STORE tsrf(i,j) = comlev1_thsice_1, key=ikey_1 |
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#endif |
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IF ( iceMask(i,j).GT.0. _d 0) THEN |
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iterate4Tsf = .TRUE. |
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iceFlag(i,j) = .TRUE. |
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#ifdef ALLOW_DBUG_THSICE |
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IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,'(A,2I4,2I2)') |
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& 'ThSI_SOLVE4T: i,j=',i,j,bi,bj |
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#endif |
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IF ( hIce(i,j).LT.hIceMin ) THEN |
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C if hi < hIceMin, melt the ice. |
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C keep the position of this problem but do the stop later |
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ii = i |
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jj = j |
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icount = icount + 1 |
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ENDIF |
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|
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C-- Fractional snow cover: |
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C assume a linear distribution of snow thickness, with dhSnowLin slope, |
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C from hs-dhSnowLin to hs+dhSnowLin if full ice & snow cover. |
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C frsnow = fraction of snow over the ice-covered part of the grid cell |
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IF ( hSnow(i,j) .GT. iceMask(i,j)*dhSnowLin ) THEN |
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frsnow = 1. _d 0 |
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ELSE |
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frsnow = hSnow(i,j)*recip_dhSnowLin/iceMask(i,j) |
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IF ( frsnow.GT.0. _d 0 ) frsnow = SQRT(frsnow) |
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ENDIF |
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|
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C-- Compute SW flux absorbed at surface and penetrating to layer 1. |
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fswpen = flxSW(i,j) * (1. _d 0 - frsnow) * i0swFrac |
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fswocn = fswpen * exp(-ksolar*hIce(i,j)) |
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fswint = fswpen - fswocn |
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fswdn = flxSW(i,j) - fswpen |
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|
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C Initialise Atmospheric surf. heat flux with net SW flux at the surface |
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flxAtm(i,j) = flxSW(i,j) |
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C SW flux at sea-ice base left to the ocean |
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flxSW(i,j) = fswocn |
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C Initialise surface Heating with SW contribution |
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sHeat(i,j) = fswdn |
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|
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C-- Compute conductivity terms at layer interfaces. |
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k12(i,j) = 4. _d 0*kIce*kSnow |
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& / (kSnow*hIce(i,j) + 4. _d 0*kIce*hSnow(i,j)) |
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k32 = 2. _d 0*kIce / hIce(i,j) |
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|
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C-- Compute ice temperatures |
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a1 = cpIce |
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b1 = qIc1(i,j) + (cpWater-cpIce )*Tmlt1 - Lfresh |
| 282 |
c1 = Lfresh * Tmlt1 |
| 283 |
tIc1(i,j) = 0.5 _d 0 *(-b1 - SQRT(b1*b1-4. _d 0*a1*c1))/a1 |
| 284 |
tIc2(i,j) = (Lfresh-qIc2(i,j)) / cpIce |
| 285 |
|
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#ifdef ALLOW_DBUG_THSICE |
| 287 |
IF (tIc1(i,j).GT.0. _d 0 ) THEN |
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WRITE(stdUnit,'(A,I12,1PE14.6)') |
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& ' BBerr: Tice(1) > 0 ; it=', myIter, qIc1(i,j) |
| 290 |
WRITE(stdUnit,'(A,4I5,2F11.4)') |
| 291 |
& ' BBerr: i,j,bi,bj,Tice = ',i,j,bi,bj,tIc1(i,j),tIc2(i,j) |
| 292 |
ENDIF |
| 293 |
IF ( tIc2(i,j).GT.0. _d 0) THEN |
| 294 |
WRITE(stdUnit,'(A,I12,1PE14.6)') |
| 295 |
& ' BBerr: Tice(2) > 0 ; it=', myIter, qIc2(i,j) |
| 296 |
WRITE(stdUnit,'(A,4I5,2F11.4)') |
| 297 |
& ' BBerr: i,j,bi,bj,Tice = ',i,j,bi,bj,tIc1(i,j),tIc2(i,j) |
| 298 |
ENDIF |
| 299 |
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,1010) |
| 300 |
& 'ThSI_SOLVE4T: k, Ts, Tice=',0,tSrf(i,j),tIc1(i,j),tIc2(i,j) |
| 301 |
#endif |
| 302 |
|
| 303 |
C-- Compute coefficients used in quadratic formula. |
| 304 |
|
| 305 |
a10(i,j) = rhoi*cpIce *hIce(i,j)/(2. _d 0*dt) + |
| 306 |
& k32*( 4. _d 0*dt*k32 + rhoi*cpIce *hIce(i,j) ) |
| 307 |
& / ( 6. _d 0*dt*k32 + rhoi*cpIce *hIce(i,j) ) |
| 308 |
b10(i,j) = -hIce(i,j)* |
| 309 |
& ( rhoi*cpIce*tIc1(i,j) + rhoi*Lfresh*Tmlt1/tIc1(i,j) ) |
| 310 |
& /(2. _d 0*dt) |
| 311 |
& - k32*( 4. _d 0*dt*k32*tFrz(i,j) |
| 312 |
& +rhoi*cpIce*hIce(i,j)*tIc2(i,j) ) |
| 313 |
& / ( 6. _d 0*dt*k32 + rhoi*cpIce *hIce(i,j) ) |
| 314 |
& - fswint |
| 315 |
c10(i,j) = rhoi*Lfresh*hIce(i,j)*Tmlt1 / (2. _d 0*dt) |
| 316 |
|
| 317 |
ELSE |
| 318 |
iceFlag(i,j) = .FALSE. |
| 319 |
ENDIF |
| 320 |
ENDDO |
| 321 |
ENDDO |
| 322 |
IF ( icount .gt. 0 ) THEN |
| 323 |
WRITE(stdUnit,'(A,I5,A)') |
| 324 |
& 'THSICE_SOLVE4TEMP: there are ',icount, |
| 325 |
& ' case(s) where hIce<hIceMin;' |
| 326 |
WRITE(stdUnit,'(A,I3,A1,I3,A)') |
| 327 |
& 'THSICE_SOLVE4TEMP: the last one was at (',ii,',',jj, |
| 328 |
& ') with hIce = ', hIce(ii,jj) |
| 329 |
WRITE( msgBuf, '(A)') |
| 330 |
& 'THSICE_SOLVE4TEMP: should not enter if hIce<hIceMin' |
| 331 |
CALL PRINT_ERROR( msgBuf , myThid ) |
| 332 |
STOP 'ABNORMAL END: S/R THSICE_SOLVE4TEMP' |
| 333 |
ENDIF |
| 334 |
|
| 335 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-| |
| 336 |
|
| 337 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 338 |
CADJ STORE devdt(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
| 339 |
CADJ STORE tsf(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
| 340 |
#endif |
| 341 |
|
| 342 |
C-- Get surface fluxes over melting surface |
| 343 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 344 |
IF ( useBlkFlx ) THEN |
| 345 |
CADJ STORE tsf(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
| 346 |
#else |
| 347 |
IF ( useBlkFlx .AND. iterate4Tsf ) THEN |
| 348 |
#endif |
| 349 |
DO j = jMin, jMax |
| 350 |
DO i = iMin, iMax |
| 351 |
Tsf(i,j) = 0. |
| 352 |
ENDDO |
| 353 |
ENDDO |
| 354 |
IF ( useEXF ) THEN |
| 355 |
CALL THSICE_GET_EXF( bi, bj, |
| 356 |
I iMin, iMax, jMin, jMax, |
| 357 |
I iceFlag, hSnow, Tsf, |
| 358 |
O flx0exSW, dFlxdT, evap0, dEvdT, |
| 359 |
I myTime, myIter, myThid ) |
| 360 |
C- could add this "ifdef" to hide THSICE_GET_BULKF from TAF |
| 361 |
#ifdef ALLOW_BULK_FORCE |
| 362 |
ELSEIF ( useBulkForce ) THEN |
| 363 |
CALL THSICE_GET_BULKF( bi, bj, |
| 364 |
I iMin, iMax, jMin, jMax, |
| 365 |
I iceFlag, hSnow, Tsf, |
| 366 |
O flx0exSW, dFlxdT, evap0, dEvdT, |
| 367 |
I myTime, myIter, myThid ) |
| 368 |
#endif /* ALLOW_BULK_FORCE */ |
| 369 |
ENDIF |
| 370 |
ENDIF |
| 371 |
|
| 372 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-| |
| 373 |
C--- Compute new surface and internal temperatures; iterate until |
| 374 |
C Tsfc converges. |
| 375 |
DO j = jMin, jMax |
| 376 |
DO i = iMin, iMax |
| 377 |
Tsf(i,j) = tSrf(i,j) |
| 378 |
dTsrf(i,j) = Terrmax |
| 379 |
ENDDO |
| 380 |
ENDDO |
| 381 |
IF ( useBlkFlx ) THEN |
| 382 |
iterMax = nitMaxTsf |
| 383 |
ELSE |
| 384 |
iterMax = 1 |
| 385 |
ENDIF |
| 386 |
|
| 387 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 388 |
CADJ STORE devdt(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
| 389 |
CADJ STORE dflxdt(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
| 390 |
CADJ STORE flx0exsw(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
| 391 |
CADJ STORE flxtexsw(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
| 392 |
#endif |
| 393 |
|
| 394 |
C ----- begin iteration ----- |
| 395 |
DO k = 1,iterMax |
| 396 |
#ifndef ALLOW_AUTODIFF_TAMC |
| 397 |
IF ( iterate4Tsf ) THEN |
| 398 |
iterate4Tsf = .FALSE. |
| 399 |
#endif |
| 400 |
|
| 401 |
IF ( useBlkFlx ) THEN |
| 402 |
C-- Compute top surface flux. |
| 403 |
IF ( useEXF ) THEN |
| 404 |
CALL THSICE_GET_EXF( bi, bj, |
| 405 |
I iMin, iMax, jMin, jMax, |
| 406 |
I iceFlag, hSnow, Tsf, |
| 407 |
O flxTexSW, dFlxdT, evapT, dEvdT, |
| 408 |
I myTime, myIter, myThid ) |
| 409 |
C- could add this "ifdef" to hide THSICE_GET_BULKF from TAF |
| 410 |
#ifdef ALLOW_BULK_FORCE |
| 411 |
ELSEIF ( useBulkForce ) THEN |
| 412 |
CALL THSICE_GET_BULKF( bi, bj, |
| 413 |
I iMin, iMax, jMin, jMax, |
| 414 |
I iceFlag, hSnow, Tsf, |
| 415 |
O flxTexSW, dFlxdT, evapT, dEvdT, |
| 416 |
I myTime, myIter, myThid ) |
| 417 |
#endif /* ALLOW_BULK_FORCE */ |
| 418 |
ENDIF |
| 419 |
ELSE |
| 420 |
DO j = jMin, jMax |
| 421 |
DO i = iMin, iMax |
| 422 |
IF ( iceFlag(i,j) ) THEN |
| 423 |
flxTexSW(i,j) = flxExSW(i,j,1) |
| 424 |
dFlxdT(i,j) = flxExSW(i,j,2) |
| 425 |
ENDIF |
| 426 |
ENDDO |
| 427 |
ENDDO |
| 428 |
ENDIF |
| 429 |
|
| 430 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 431 |
CADJ STORE devdt(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
| 432 |
CADJ STORE dflxdt(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
| 433 |
CADJ STORE flxtexsw(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
| 434 |
CADJ STORE iceflag(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
| 435 |
CADJ STORE tsf(:,:) = comlev1_bibj,key=ticekey,byte=isbyte |
| 436 |
#endif |
| 437 |
|
| 438 |
C-- Compute new top layer and surface temperatures. |
| 439 |
C If Tsfc is computed to be > 0 C, fix Tsfc = 0 and recompute T1 |
| 440 |
C with different coefficients. |
| 441 |
DO j = jMin, jMax |
| 442 |
DO i = iMin, iMax |
| 443 |
IF ( iceFlag(i,j) ) THEN |
| 444 |
flxNet = sHeat(i,j) + flxTexSW(i,j) |
| 445 |
#ifdef ALLOW_DBUG_THSICE |
| 446 |
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,1020) |
| 447 |
& 'ThSI_SOLVE4T: flxNet,dFlxdT,k12,D=', |
| 448 |
& flxNet, dFlxdT(i,j), k12(i,j), k12(i,j)-dFlxdT(i,j) |
| 449 |
#endif |
| 450 |
|
| 451 |
a1 = a10(i,j) - k12(i,j)*dFlxdT(i,j) / (k12(i,j)-dFlxdT(i,j)) |
| 452 |
b1 = b10(i,j) - k12(i,j)*(flxNet-dFlxdT(i,j)*Tsf(i,j)) |
| 453 |
& /(k12(i,j)-dFlxdT(i,j)) |
| 454 |
c1 = c10(i,j) |
| 455 |
tIc1(i,j) = -(b1 + SQRT(b1*b1-4. _d 0*a1*c1))/(2. _d 0*a1) |
| 456 |
dTsrf(i,j) = (flxNet + k12(i,j)*(tIc1(i,j)-Tsf(i,j))) |
| 457 |
& /(k12(i,j)-dFlxdT(i,j)) |
| 458 |
Tsf(i,j) = Tsf(i,j) + dTsrf(i,j) |
| 459 |
IF ( Tsf(i,j) .GT. 0. _d 0 ) THEN |
| 460 |
#ifdef ALLOW_DBUG_THSICE |
| 461 |
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,1010) |
| 462 |
& 'ThSI_SOLVE4T: k,ts,t1,dTs=',k,Tsf(i,j),tIc1(i,j),dTsrf(i,j) |
| 463 |
#endif |
| 464 |
a1 = a10(i,j) + k12(i,j) |
| 465 |
C note: b1 = b10 - k12*Tf0 |
| 466 |
b1 = b10(i,j) |
| 467 |
tIc1(i,j) = (-b1 - SQRT(b1*b1-4. _d 0*a1*c1))/(2. _d 0*a1) |
| 468 |
Tsf(i,j) = 0. _d 0 |
| 469 |
IF ( useBlkFlx ) THEN |
| 470 |
flxTexSW(i,j) = flx0exSW(i,j) |
| 471 |
evapT(i,j) = evap0(i,j) |
| 472 |
dTsrf(i,j) = 0. _d 0 |
| 473 |
ELSE |
| 474 |
flxTexSW(i,j) = flxExSW(i,j,0) |
| 475 |
dTsrf(i,j) = 1000. |
| 476 |
dFlxdT(i,j) = 0. |
| 477 |
ENDIF |
| 478 |
ENDIF |
| 479 |
|
| 480 |
C-- Check for convergence. If no convergence, then repeat. |
| 481 |
iceFlag(i,j) = ABS(dTsrf(i,j)).GE.Terrmax |
| 482 |
iterate4Tsf = iterate4Tsf .OR. iceFlag(i,j) |
| 483 |
|
| 484 |
C Convergence test: Make sure Tsfc has converged, within prescribed error. |
| 485 |
C (Energy conservation is guaranteed within machine roundoff, even |
| 486 |
C if Tsfc has not converged.) |
| 487 |
C If no convergence, then repeat. |
| 488 |
|
| 489 |
#ifdef ALLOW_DBUG_THSICE |
| 490 |
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,1010) |
| 491 |
& 'ThSI_SOLVE4T: k,ts,t1,dTs=', k,Tsf(i,j),tIc1(i,j),dTsrf(i,j) |
| 492 |
IF ( useBlkFlx .AND. k.EQ.nitMaxTsf .AND. iceFlag(i,j) ) THEN |
| 493 |
WRITE(stdUnit,'(A,4I4,I12,F15.9)') |
| 494 |
& ' BB: not converge: i,j,it,hi=',i,j,bi,bj,myIter,hIce(i,j) |
| 495 |
WRITE(stdUnit,*) |
| 496 |
& 'BB: not converge: Tsf, dTsf=', Tsf(i,j), dTsrf(i,j) |
| 497 |
WRITE(stdUnit,*) |
| 498 |
& 'BB: not converge: flxNet,dFlxT=', flxNet, dFlxdT(i,j) |
| 499 |
IF ( Tsf(i,j).LT.-70. _d 0 ) THEN |
| 500 |
WRITE( msgBuf, '(A,2I4,2I3,I10,F12.3)') |
| 501 |
& 'THSICE_SOLVE4TEMP: Too low Tsf in', i, j, bi, bj, |
| 502 |
& myIter, Tsf(i,j) |
| 503 |
CALL PRINT_ERROR( msgBuf , myThid ) |
| 504 |
STOP 'ABNORMAL END: S/R THSICE_SOLVE4TEMP' |
| 505 |
ENDIF |
| 506 |
ENDIF |
| 507 |
#endif |
| 508 |
|
| 509 |
ENDIF |
| 510 |
ENDDO |
| 511 |
ENDDO |
| 512 |
#ifndef ALLOW_AUTODIFF_TAMC |
| 513 |
ENDIF |
| 514 |
#endif |
| 515 |
ENDDO |
| 516 |
C ------ end iteration ------------ |
| 517 |
|
| 518 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-| |
| 519 |
|
| 520 |
DO j = jMin, jMax |
| 521 |
DO i = iMin, iMax |
| 522 |
IF ( iceMask(i,j).GT.0. _d 0 ) THEN |
| 523 |
|
| 524 |
C-- Compute new bottom layer temperature. |
| 525 |
k32 = 2. _d 0*kIce / hIce(i,j) |
| 526 |
tIc2(i,j) = ( 2. _d 0*dt*k32*(tIc1(i,j)+2. _d 0*tFrz(i,j)) |
| 527 |
& + rhoi*cpIce*hIce(i,j)*tIc2(i,j)) |
| 528 |
& /(6. _d 0*dt*k32 + rhoi*cpIce*hIce(i,j)) |
| 529 |
#ifdef ALLOW_DBUG_THSICE |
| 530 |
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,1010) |
| 531 |
& 'ThSI_SOLVE4T: k, Ts, Tice=',k,Tsf(i,j),tIc1(i,j),tIc2(i,j) |
| 532 |
netSW = flxAtm(i,j) |
| 533 |
#endif |
| 534 |
|
| 535 |
C-- Compute final flux values at surfaces. |
| 536 |
tSrf(i,j) = Tsf(i,j) |
| 537 |
fct = k12(i,j)*(Tsf(i,j)-tIc1(i,j)) |
| 538 |
flxCnB(i,j) = 4. _d 0*kIce *(tIc2(i,j)-tFrz(i,j))/hIce(i,j) |
| 539 |
flxNet = sHeat(i,j) + flxTexSW(i,j) |
| 540 |
flxNet = flxNet + dFlxdT(i,j)*dTsrf(i,j) |
| 541 |
IF ( useBlkFlx ) THEN |
| 542 |
C- needs to update also Evap (Tsf changes) since Latent heat has been updated |
| 543 |
evpAtm(i,j) = evapT(i,j) + dEvdT(i,j)*dTsrf(i,j) |
| 544 |
ELSE |
| 545 |
C- WARNING: Evap & +Evap*Lfresh are missing ! (but only affects Diagnostics) |
| 546 |
evpAtm(i,j) = 0. |
| 547 |
ENDIF |
| 548 |
C- Update energy flux to Atmos with other than SW contributions; |
| 549 |
C use latent heat = Lvap (energy=0 for liq. water at 0.oC) |
| 550 |
flxAtm(i,j) = flxAtm(i,j) + flxTexSW(i,j) |
| 551 |
& + dFlxdT(i,j)*dTsrf(i,j) + evpAtm(i,j)*Lfresh |
| 552 |
C- excess of energy @ surface (used for surface melting): |
| 553 |
sHeat(i,j) = flxNet - fct |
| 554 |
|
| 555 |
#ifdef ALLOW_DBUG_THSICE |
| 556 |
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,1020) |
| 557 |
& 'ThSI_SOLVE4T: flxNet,fct,Dif,flxCnB=', |
| 558 |
& flxNet,fct,flxNet-fct,flxCnB(i,j) |
| 559 |
#endif |
| 560 |
|
| 561 |
C-- Compute new enthalpy for each layer. |
| 562 |
qIc1(i,j) = -cpWater*Tmlt1 + cpIce *(Tmlt1-tIc1(i,j)) |
| 563 |
& + Lfresh*(1. _d 0-Tmlt1/tIc1(i,j)) |
| 564 |
qIc2(i,j) = -cpIce *tIc2(i,j) + Lfresh |
| 565 |
|
| 566 |
#ifdef ALLOW_DBUG_THSICE |
| 567 |
C-- Make sure internal ice temperatures do not exceed Tmlt. |
| 568 |
C (This should not happen for reasonable values of i0swFrac) |
| 569 |
IF (tIc1(i,j) .GE. Tmlt1) THEN |
| 570 |
WRITE(stdUnit,'(A,2I4,2I3,1P2E14.6)') |
| 571 |
& ' BBerr - Bug: IceT(1) > Tmlt',i,j,bi,bj,tIc1(i,j),Tmlt1 |
| 572 |
ENDIF |
| 573 |
IF (tIc2(i,j) .GE. 0. _d 0) THEN |
| 574 |
WRITE(stdUnit,'(A,2I4,2I3,1P2E14.6)') |
| 575 |
& ' BBerr - Bug: IceT(2) > 0',i,j,bi,bj,tIc2(i,j) |
| 576 |
ENDIF |
| 577 |
|
| 578 |
IF ( dBug(i,j,bi,bj) ) THEN |
| 579 |
WRITE(stdUnit,1020) 'ThSI_SOLV_4T: Tsf, Tice(1,2), dTsurf=', |
| 580 |
& Tsf(i,j), tIc1(i,j), tIc2(i,j), dTsrf(i,j) |
| 581 |
WRITE(stdUnit,1020) 'ThSI_SOLV_4T: sHeat, flxCndBt, Qice =', |
| 582 |
& sHeat(i,j), flxCnB(i,j), qIc1(i,j), qIc2(i,j) |
| 583 |
WRITE(stdUnit,1020) 'ThSI_SOLV_4T: flxA, evpA, fxSW_bf,af=', |
| 584 |
& flxAtm(i,j), evpAtm(i,j), netSW, flxSW(i,j) |
| 585 |
ENDIF |
| 586 |
#endif |
| 587 |
|
| 588 |
ELSE |
| 589 |
C-- ice-free grid point: |
| 590 |
c tIc1 (i,j) = 0. _d 0 |
| 591 |
c tIc2 (i,j) = 0. _d 0 |
| 592 |
dTsrf (i,j) = 0. _d 0 |
| 593 |
c sHeat (i,j) = 0. _d 0 |
| 594 |
c flxCnB(i,j) = 0. _d 0 |
| 595 |
c flxAtm(i,j) = 0. _d 0 |
| 596 |
c evpAtm(i,j) = 0. _d 0 |
| 597 |
|
| 598 |
ENDIF |
| 599 |
ENDDO |
| 600 |
ENDDO |
| 601 |
#endif /* ALLOW_THSICE */ |
| 602 |
|
| 603 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-| |
| 604 |
|
| 605 |
RETURN |
| 606 |
END |
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