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jmc |
1.19 |
C $Header: /u/gcmpack/MITgcm/pkg/thsice/thsice_solve4temp.F,v 1.18 2009/09/14 20:54:33 jmc Exp $ |
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jmc |
1.1 |
C $Name: $ |
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#include "THSICE_OPTIONS.h" |
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CBOP |
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C !ROUTINE: THSICE_SOLVE4TEMP |
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C !INTERFACE: |
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SUBROUTINE THSICE_SOLVE4TEMP( |
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jmc |
1.8 |
I bi, bj, siLo, siHi, sjLo, sjHi, |
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jmc |
1.17 |
I iMin,iMax, jMin,jMax, dBugFlag, |
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mlosch |
1.9 |
I useBulkForce, useEXF, |
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jmc |
1.8 |
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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jmc |
1.1 |
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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jmc |
1.8 |
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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jmc |
1.19 |
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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jmc |
1.8 |
C.. Winton, M., 1999: "A reformulated three-layer sea ice model." |
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C.. Submitted to J. Atmos. Ocean. Technol. |
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C.. authors Elizabeth C. Hunke and William Lipscomb |
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C.. Fluid Dynamics Group, Los Alamos National Laboratory |
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C----------------------------------------------------------------------- |
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Cc****subroutine thermo_winton(n,fice,fsnow,dqice,dTsfc) |
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C.. Compute temperature change using Winton model with 2 ice layers, of |
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C.. which only the top layer has a variable heat capacity. |
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jmc |
1.1 |
C !USES: |
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IMPLICIT NONE |
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C == Global variables === |
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jmc |
1.5 |
#include "EEPARAMS.h" |
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jmc |
1.1 |
#include "THSICE_SIZE.h" |
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#include "THSICE_PARAMS.h" |
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heimbach |
1.14 |
#ifdef ALLOW_AUTODIFF_TAMC |
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# include "SIZE.h" |
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# include "tamc.h" |
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# include "tamc_keys.h" |
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#endif |
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jmc |
1.1 |
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine Arguments == |
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jmc |
1.8 |
C siLo,siHi :: size of input/output array: 1rst dim. lower,higher bounds |
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C sjLo,sjHi :: size of input/output array: 2nd dim. lower,higher bounds |
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C bi,bj :: tile indices |
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C iMin,iMax :: computation domain: 1rst index range |
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C jMin,jMax :: computation domain: 2nd index range |
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C dBugFlag :: allow to print debugging stuff (e.g. on 1 grid point). |
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mlosch |
1.9 |
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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jmc |
1.8 |
C--- Input: |
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C iceMask :: sea-ice fractional mask [0-1] |
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C hIce (hi) :: ice height [m] |
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C hSnow (hs) :: snow height [m] |
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C tFrz (Tf) :: 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 (netSW) :: 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 (Tsf) :: surface (ice or snow) temperature |
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C qIc1 (qicen) :: ice enthalpy (J/kg), 1rst level |
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C qIc2 (qicen) :: ice enthalpy (J/kg), 2nd level |
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C--- Output |
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C tIc1 (Tice) :: temperature of ice layer 1 [oC] |
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C tIc2 (Tice) :: temperature of ice layer 2 [oC] |
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C dTsrf (dTsf) :: surf. temp adjusment: Ts^n+1 - Ts^n |
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C sHeat(sHeating):: surf heating flux left to melt snow or ice (= Atmos-conduction) |
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C flxCnB (=) :: heat flux conducted through the ice to bottom surface |
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C 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 siLo, siHi, sjLo, sjHi |
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INTEGER bi,bj |
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INTEGER iMin, iMax |
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INTEGER jMin, jMax |
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LOGICAL dBugFlag |
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mlosch |
1.9 |
LOGICAL useBulkForce |
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LOGICAL useEXF |
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jmc |
1.8 |
_RL iceMask(siLo:siHi,sjLo:sjHi) |
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_RL hIce (siLo:siHi,sjLo:sjHi) |
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_RL hSnow (siLo:siHi,sjLo:sjHi) |
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_RL tFrz (siLo:siHi,sjLo:sjHi) |
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_RL flxExSW(iMin:iMax,jMin:jMax,0:2) |
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_RL flxSW (siLo:siHi,sjLo:sjHi) |
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_RL tSrf (siLo:siHi,sjLo:sjHi) |
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_RL qIc1 (siLo:siHi,sjLo:sjHi) |
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_RL qIc2 (siLo:siHi,sjLo:sjHi) |
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_RL tIc1 (siLo:siHi,sjLo:sjHi) |
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_RL tIc2 (siLo:siHi,sjLo:sjHi) |
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c _RL dTsrf (siLo:siHi,sjLo:sjHi) |
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_RL dTsrf (iMin:iMax,jMin:jMax) |
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_RL sHeat (siLo:siHi,sjLo:sjHi) |
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_RL flxCnB (siLo:siHi,sjLo:sjHi) |
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_RL flxAtm (siLo:siHi,sjLo:sjHi) |
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_RL evpAtm (siLo:siHi,sjLo:sjHi) |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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CEOP |
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#ifdef ALLOW_THSICE |
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C !LOCAL VARIABLES: |
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C--- local copy of input/output argument list variables (see description above) |
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c _RL flxExcSw(0:2) |
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jmc |
1.1 |
_RL Tf |
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_RL hi |
| 126 |
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_RL hs |
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jmc |
1.8 |
_RL netSW |
| 128 |
jmc |
1.1 |
_RL Tsf |
| 129 |
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_RL qicen(nlyr) |
| 130 |
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_RL Tice (nlyr) |
| 131 |
jmc |
1.8 |
c _RL sHeating |
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c _RL flxCnB |
| 133 |
jmc |
1.1 |
_RL dTsf |
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jmc |
1.8 |
c _RL flxAtm |
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c _RL evpAtm |
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jmc |
1.1 |
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C == Local Variables == |
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jmc |
1.18 |
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 flxExceptSw :: net surface heat flux, except short-wave (W/m2) |
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C evap :: 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 flx0 :: net surf heat flux, from Atmos. to sea-ice (W m-2) |
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C fct :: heat conducted to top surface |
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C df0dT :: deriv of flx0 wrt Tsf (W m-2 deg-1) |
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C k12, k32 :: thermal conductivity terms |
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C a10, b10 :: 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 Tsf_start :: old value of Tsf |
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C dt :: timestep |
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jmc |
1.8 |
INTEGER i,j |
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jmc |
1.6 |
INTEGER k, iterMax |
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jmc |
1.18 |
_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 flxExceptSw |
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jmc |
1.1 |
_RL evap, dEvdT |
| 163 |
jmc |
1.18 |
_RL flx0 |
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_RL fct |
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_RL df0dT |
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_RL k12, k32 |
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_RL a10, b10 |
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_RL a1, b1, c1 |
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c _RL Tsf_start |
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_RL dt |
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jmc |
1.17 |
_RL recip_dhSnowLin |
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jmc |
1.8 |
INTEGER iceornot |
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mlosch |
1.9 |
LOGICAL useBlkFlx |
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jmc |
1.1 |
|
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jmc |
1.8 |
C- define grid-point location where to print debugging values |
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#include "THSICE_DEBUG.h" |
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jmc |
1.1 |
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jmc |
1.7 |
1010 FORMAT(A,I3,3F11.6) |
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1020 FORMAT(A,1P4E14.6) |
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jmc |
1.1 |
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jmc |
1.8 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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heimbach |
1.14 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 184 |
heimbach |
1.15 |
act1 = bi - myBxLo(myThid) |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
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act2 = bj - myByLo(myThid) |
| 187 |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
| 188 |
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act3 = myThid - 1 |
| 189 |
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max3 = nTx*nTy |
| 190 |
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act4 = ikey_dynamics - 1 |
| 191 |
heimbach |
1.14 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 192 |
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| 193 |
mlosch |
1.9 |
useBlkFlx = useEXF .OR. useBulkForce |
| 194 |
jmc |
1.17 |
IF ( dhSnowLin.GT.0. _d 0 ) THEN |
| 195 |
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recip_dhSnowLin = 1. _d 0 / dhSnowLin |
| 196 |
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ELSE |
| 197 |
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recip_dhSnowLin = 0. _d 0 |
| 198 |
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ENDIF |
| 199 |
mlosch |
1.9 |
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jscott |
1.13 |
dt = thSIce_dtTemp |
| 201 |
jmc |
1.8 |
DO j = jMin, jMax |
| 202 |
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DO i = iMin, iMax |
| 203 |
heimbach |
1.14 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 204 |
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ikey_1 = i |
| 205 |
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& + sNx*(j-1) |
| 206 |
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& + sNx*sNy*act1 |
| 207 |
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& + sNx*sNy*max1*act2 |
| 208 |
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& + sNx*sNy*max1*max2*act3 |
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& + sNx*sNy*max1*max2*max3*act4 |
| 210 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
| 211 |
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C-- |
| 212 |
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#ifdef ALLOW_AUTODIFF_TAMC |
| 213 |
heimbach |
1.15 |
CADJ STORE devdt = comlev1_thsice_1, key=ikey_1 |
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CADJ STORE df0dt = comlev1_thsice_1, key=ikey_1 |
| 215 |
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CADJ STORE flxexceptsw = comlev1_thsice_1, key=ikey_1 |
| 216 |
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CADJ STORE flxsw(i,j) = comlev1_thsice_1, key=ikey_1 |
| 217 |
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CADJ STORE qic1(i,j) = comlev1_thsice_1, key=ikey_1 |
| 218 |
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CADJ STORE qic2(i,j) = comlev1_thsice_1, key=ikey_1 |
| 219 |
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CADJ STORE tsrf(i,j) = comlev1_thsice_1, key=ikey_1 |
| 220 |
heimbach |
1.14 |
#endif |
| 221 |
jmc |
1.8 |
IF ( iceMask(i,j).GT.0. _d 0) THEN |
| 222 |
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hi = hIce(i,j) |
| 223 |
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hs = hSnow(i,j) |
| 224 |
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Tf = tFrz(i,j) |
| 225 |
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netSW = flxSW(i,j) |
| 226 |
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Tsf = tSrf(i,j) |
| 227 |
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qicen(1)= qIc1(i,j) |
| 228 |
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qicen(2)= qIc2(i,j) |
| 229 |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 230 |
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#ifdef ALLOW_DBUG_THSICE |
| 231 |
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IF ( dBug(i,j,bi,bj) ) WRITE(6,'(A,2I4,2I2)') |
| 232 |
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& 'ThSI_SOLVE4T: i,j=',i,j,bi,bj |
| 233 |
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#endif |
| 234 |
jmc |
1.16 |
IF ( hi.LT.hIceMin ) THEN |
| 235 |
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C If hi < hIceMin, melt the ice. |
| 236 |
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STOP 'THSICE_SOLVE4TEMP: should not enter if hi<hIceMin' |
| 237 |
heimbach |
1.15 |
ENDIF |
| 238 |
jmc |
1.1 |
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| 239 |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 240 |
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| 241 |
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C fractional snow cover |
| 242 |
jmc |
1.17 |
C assume a linear distribution of snow thickness, with dhSnowLin slope, |
| 243 |
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C from hs-dhSnowLin to hs+dhSnowLin if full ice & snow cover. |
| 244 |
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C frsnow = fraction of snow over the ice-covered part of the grid cell |
| 245 |
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IF ( hs .GT. iceMask(i,j)*dhSnowLin ) THEN |
| 246 |
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frsnow = 1. _d 0 |
| 247 |
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ELSE |
| 248 |
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frsnow = hs*recip_dhSnowLin/iceMask(i,j) |
| 249 |
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IF ( frsnow.GT.0. _d 0 ) frsnow = SQRT(frsnow) |
| 250 |
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ENDIF |
| 251 |
jmc |
1.1 |
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| 252 |
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C Compute SW flux absorbed at surface and penetrating to layer 1. |
| 253 |
jmc |
1.16 |
fswpen = netSW * (1. _d 0 - frsnow) * i0swFrac |
| 254 |
jmc |
1.1 |
fswocn = fswpen * exp(-ksolar*hi) |
| 255 |
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fswint = fswpen - fswocn |
| 256 |
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| 257 |
jmc |
1.8 |
fswdn = netSW - fswpen |
| 258 |
jmc |
1.1 |
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| 259 |
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C Compute conductivity terms at layer interfaces. |
| 260 |
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| 261 |
jmc |
1.16 |
k12 = 4. _d 0*kIce*kSnow / (kSnow*hi + 4. _d 0*kIce*hs) |
| 262 |
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k32 = 2. _d 0*kIce / hi |
| 263 |
jmc |
1.1 |
|
| 264 |
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C compute ice temperatures |
| 265 |
jmc |
1.16 |
a1 = cpIce |
| 266 |
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b1 = qicen(1) + (cpWater-cpIce )*Tmlt1 - Lfresh |
| 267 |
jmc |
1.1 |
c1 = Lfresh * Tmlt1 |
| 268 |
jmc |
1.6 |
Tice(1) = 0.5 _d 0 *(-b1 - SQRT(b1*b1-4. _d 0*a1*c1))/a1 |
| 269 |
jmc |
1.16 |
Tice(2) = (Lfresh-qicen(2)) / cpIce |
| 270 |
jmc |
1.1 |
|
| 271 |
jmc |
1.12 |
IF (Tice(1).GT.0. _d 0 ) THEN |
| 272 |
jmc |
1.17 |
WRITE (standardMessageUnit,'(A,I12,1PE14.6)') |
| 273 |
jmc |
1.12 |
& ' BBerr: Tice(1) > 0 ; it=', myIter, qicen(1) |
| 274 |
mlosch |
1.10 |
WRITE (standardMessageUnit,'(A,4I5,2F11.4)') |
| 275 |
jmc |
1.12 |
& ' BBerr: i,j,bi,bj,Tice = ',i,j,bi,bj,Tice |
| 276 |
mlosch |
1.10 |
ENDIF |
| 277 |
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IF ( Tice(2).GT.0. _d 0) THEN |
| 278 |
jmc |
1.17 |
WRITE (standardMessageUnit,'(A,I12,1PE14.6)') |
| 279 |
jmc |
1.12 |
& ' BBerr: Tice(2) > 0 ; it=', myIter, qicen(2) |
| 280 |
mlosch |
1.10 |
WRITE (standardMessageUnit,'(A,4I5,2F11.4)') |
| 281 |
jmc |
1.12 |
& ' BBerr: i,j,bi,bj,Tice = ',i,j,bi,bj,Tice |
| 282 |
jmc |
1.6 |
ENDIF |
| 283 |
jmc |
1.8 |
#ifdef ALLOW_DBUG_THSICE |
| 284 |
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IF ( dBug(i,j,bi,bj) ) WRITE(6,1010) |
| 285 |
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& 'ThSI_SOLVE4T: k, Ts, Tice=',0,Tsf,Tice |
| 286 |
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#endif |
| 287 |
jmc |
1.1 |
|
| 288 |
|
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C Compute coefficients used in quadratic formula. |
| 289 |
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| 290 |
jmc |
1.16 |
a10 = rhoi*cpIce *hi/(2. _d 0*dt) + |
| 291 |
|
|
& k32 * (4. _d 0*dt*k32 + rhoi*cpIce *hi) |
| 292 |
|
|
& / (6. _d 0*dt*k32 + rhoi*cpIce *hi) |
| 293 |
jmc |
1.1 |
b10 = -hi* |
| 294 |
jmc |
1.16 |
& (rhoi*cpIce*Tice(1)+rhoi*Lfresh*Tmlt1/Tice(1)) |
| 295 |
jmc |
1.1 |
& /(2. _d 0*dt) |
| 296 |
jmc |
1.16 |
& - k32 * (4. _d 0*dt*k32*Tf+rhoi*cpIce *hi*Tice(2)) |
| 297 |
|
|
& / (6. _d 0*dt*k32 + rhoi*cpIce *hi) - fswint |
| 298 |
jmc |
1.1 |
c1 = rhoi*Lfresh*hi*Tmlt1 / (2. _d 0*dt) |
| 299 |
|
|
|
| 300 |
jmc |
1.4 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 301 |
jmc |
1.1 |
C Compute new surface and internal temperatures; iterate until |
| 302 |
|
|
C Tsfc converges. |
| 303 |
|
|
|
| 304 |
jmc |
1.6 |
IF ( useBlkFlx ) THEN |
| 305 |
|
|
iterMax = nitMaxTsf |
| 306 |
|
|
ELSE |
| 307 |
|
|
iterMax = 1 |
| 308 |
|
|
ENDIF |
| 309 |
|
|
dTsf = Terrmax |
| 310 |
|
|
|
| 311 |
jmc |
1.1 |
C ----- begin iteration ----- |
| 312 |
jmc |
1.6 |
DO k = 1,iterMax |
| 313 |
heimbach |
1.14 |
|
| 314 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 315 |
|
|
ikey_3 = (ikey_1-1)*MaxTsf + k |
| 316 |
|
|
#endif |
| 317 |
|
|
|
| 318 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 319 |
heimbach |
1.15 |
CADJ STORE tsf = comlev1_thsice_3, key=ikey_3 |
| 320 |
|
|
CADJ STORE dtsf = comlev1_thsice_3, key=ikey_3 |
| 321 |
|
|
CADJ STORE df0dt = comlev1_thsice_3, key=ikey_3 |
| 322 |
|
|
CADJ STORE flxexceptsw = comlev1_thsice_3, key=ikey_3 |
| 323 |
heimbach |
1.14 |
#endif |
| 324 |
jmc |
1.6 |
IF ( ABS(dTsf).GE.Terrmax ) THEN |
| 325 |
jmc |
1.1 |
|
| 326 |
|
|
C Save temperatures at start of iteration. |
| 327 |
|
|
c Tsf_start = Tsf |
| 328 |
|
|
|
| 329 |
|
|
IF ( useBlkFlx ) THEN |
| 330 |
heimbach |
1.15 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 331 |
|
|
CADJ STORE tsf = comlev1_thsice_3, key=ikey_3 |
| 332 |
|
|
#endif |
| 333 |
jmc |
1.1 |
C Compute top surface flux. |
| 334 |
jmc |
1.6 |
IF (hs.GT.3. _d -1) THEN |
| 335 |
jmc |
1.1 |
iceornot=2 |
| 336 |
jmc |
1.6 |
ELSE |
| 337 |
jmc |
1.1 |
iceornot=1 |
| 338 |
jmc |
1.6 |
ENDIF |
| 339 |
mlosch |
1.9 |
IF ( useBulkForce ) THEN |
| 340 |
|
|
CALL THSICE_GET_BULKF( |
| 341 |
|
|
I iceornot, Tsf, |
| 342 |
|
|
O flxExceptSw, df0dT, evap, dEvdT, |
| 343 |
|
|
I i,j,bi,bj,myThid ) |
| 344 |
|
|
ELSEIF ( useEXF ) THEN |
| 345 |
|
|
CALL THSICE_GET_EXF ( |
| 346 |
|
|
I iceornot, Tsf, |
| 347 |
|
|
O flxExceptSw, df0dT, evap, dEvdT, |
| 348 |
|
|
I i,j,bi,bj,myThid ) |
| 349 |
|
|
ENDIF |
| 350 |
jmc |
1.1 |
ELSE |
| 351 |
jmc |
1.8 |
flxExceptSw = flxExSW(i,j,1) |
| 352 |
|
|
df0dT = flxExSW(i,j,2) |
| 353 |
jmc |
1.1 |
ENDIF |
| 354 |
jmc |
1.7 |
flx0 = fswdn + flxExceptSw |
| 355 |
jmc |
1.8 |
#ifdef ALLOW_DBUG_THSICE |
| 356 |
|
|
IF ( dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 357 |
|
|
& 'ThSI_SOLVE4T: flx0,df0dT,k12,D=', flx0,df0dT,k12,k12-df0dT |
| 358 |
|
|
#endif |
| 359 |
jmc |
1.1 |
|
| 360 |
|
|
C Compute new top layer and surface temperatures. |
| 361 |
|
|
C If Tsfc is computed to be > 0 C, fix Tsfc = 0 and recompute T1 |
| 362 |
jmc |
1.7 |
C with different coefficients. |
| 363 |
jmc |
1.1 |
|
| 364 |
heimbach |
1.14 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 365 |
|
|
CADJ STORE tsf = comlev1_thsice_3, key=ikey_3 |
| 366 |
|
|
#endif |
| 367 |
jmc |
1.1 |
a1 = a10 - k12*df0dT / (k12-df0dT) |
| 368 |
|
|
b1 = b10 - k12*(flx0-df0dT*Tsf) / (k12-df0dT) |
| 369 |
jmc |
1.6 |
Tice(1) = -(b1 + SQRT(b1*b1-4. _d 0*a1*c1))/(2. _d 0*a1) |
| 370 |
jmc |
1.1 |
dTsf = (flx0 + k12*(Tice(1)-Tsf)) / (k12-df0dT) |
| 371 |
|
|
Tsf = Tsf + dTsf |
| 372 |
jmc |
1.6 |
IF (Tsf .GT. 0. _d 0) THEN |
| 373 |
jmc |
1.8 |
#ifdef ALLOW_DBUG_THSICE |
| 374 |
|
|
IF ( dBug(i,j,bi,bj) ) WRITE(6,1010) |
| 375 |
|
|
& 'ThSI_SOLVE4T: k,ts,t1,dTs=', k,Tsf,Tice(1),dTsf |
| 376 |
|
|
#endif |
| 377 |
jmc |
1.1 |
a1 = a10 + k12 |
| 378 |
jmc |
1.18 |
C note: b1 = b10 - k12*Tf0 |
| 379 |
|
|
b1 = b10 |
| 380 |
jmc |
1.6 |
Tice(1) = (-b1 - SQRT(b1*b1-4. _d 0*a1*c1))/(2. _d 0*a1) |
| 381 |
jmc |
1.1 |
Tsf = 0. _d 0 |
| 382 |
|
|
IF ( useBlkFlx ) THEN |
| 383 |
jmc |
1.6 |
IF (hs.GT.3. _d -1) THEN |
| 384 |
jmc |
1.1 |
iceornot=2 |
| 385 |
jmc |
1.6 |
ELSE |
| 386 |
jmc |
1.1 |
iceornot=1 |
| 387 |
jmc |
1.6 |
ENDIF |
| 388 |
mlosch |
1.9 |
IF ( useBulkForce ) THEN |
| 389 |
|
|
CALL THSICE_GET_BULKF( |
| 390 |
|
|
I iceornot, Tsf, |
| 391 |
|
|
O flxExceptSw, df0dT, evap, dEvdT, |
| 392 |
|
|
I i,j,bi,bj,myThid ) |
| 393 |
|
|
ELSEIF ( useEXF ) THEN |
| 394 |
|
|
CALL THSICE_GET_EXF ( |
| 395 |
|
|
I iceornot, Tsf, |
| 396 |
|
|
O flxExceptSw, df0dT, evap, dEvdT, |
| 397 |
|
|
I i,j,bi,bj,myThid ) |
| 398 |
|
|
ENDIF |
| 399 |
jmc |
1.1 |
dTsf = 0. _d 0 |
| 400 |
|
|
ELSE |
| 401 |
jmc |
1.8 |
flxExceptSw = flxExSW(i,j,0) |
| 402 |
jmc |
1.1 |
dTsf = 1000. |
| 403 |
|
|
df0dT = 0. |
| 404 |
|
|
ENDIF |
| 405 |
jmc |
1.7 |
flx0 = fswdn + flxExceptSw |
| 406 |
jmc |
1.6 |
ENDIF |
| 407 |
jmc |
1.1 |
|
| 408 |
|
|
C Check for convergence. If no convergence, then repeat. |
| 409 |
|
|
C |
| 410 |
jmc |
1.7 |
C Convergence test: Make sure Tsfc has converged, within prescribed error. |
| 411 |
jmc |
1.1 |
C (Energy conservation is guaranteed within machine roundoff, even |
| 412 |
|
|
C if Tsfc has not converged.) |
| 413 |
|
|
C If no convergence, then repeat. |
| 414 |
|
|
|
| 415 |
jmc |
1.8 |
#ifdef ALLOW_DBUG_THSICE |
| 416 |
|
|
IF ( dBug(i,j,bi,bj) ) WRITE(6,1010) |
| 417 |
|
|
& 'ThSI_SOLVE4T: k,ts,t1,dTs=', k,Tsf,Tice(1),dTsf |
| 418 |
|
|
#endif |
| 419 |
jmc |
1.6 |
IF ( useBlkFlx .AND. k.EQ.nitMaxTsf |
| 420 |
|
|
& .AND. ABS(dTsf).GE.Terrmax ) THEN |
| 421 |
jmc |
1.11 |
WRITE (6,'(A,4I4,I12,F15.9)') |
| 422 |
jmc |
1.12 |
& ' BB: not converge: i,j,it,hi=',i,j,bi,bj, |
| 423 |
jmc |
1.11 |
& myIter,hi |
| 424 |
jmc |
1.12 |
WRITE (6,*) 'BB: not converge: Tsf, dTsf=', Tsf,dTsf |
| 425 |
|
|
WRITE (6,*) 'BB: not converge: flx0,dfdT=',flx0,df0dT |
| 426 |
jmc |
1.6 |
IF (Tsf.LT.-70. _d 0) STOP |
| 427 |
jmc |
1.1 |
ENDIF |
| 428 |
|
|
|
| 429 |
jmc |
1.6 |
ENDIF |
| 430 |
|
|
ENDDO |
| 431 |
jmc |
1.1 |
C ------ end iteration ------------ |
| 432 |
|
|
|
| 433 |
|
|
C Compute new bottom layer temperature. |
| 434 |
|
|
|
| 435 |
heimbach |
1.15 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 436 |
|
|
CADJ STORE Tice(:) = comlev1_thsice_1, key=ikey_1 |
| 437 |
|
|
CADJ STORE df0dt = comlev1_thsice_1, key=ikey_1 |
| 438 |
|
|
#endif |
| 439 |
jmc |
1.1 |
Tice(2) = (2. _d 0*dt*k32*(Tice(1)+2. _d 0*Tf) |
| 440 |
jmc |
1.16 |
& + rhoi*cpIce *hi*Tice(2)) |
| 441 |
|
|
& /(6. _d 0*dt*k32 + rhoi*cpIce *hi) |
| 442 |
jmc |
1.8 |
#ifdef ALLOW_DBUG_THSICE |
| 443 |
|
|
IF ( dBug(i,j,bi,bj) ) WRITE(6,1010) |
| 444 |
|
|
& 'ThSI_SOLVE4T: k, Ts, Tice=',k,Tsf,Tice |
| 445 |
|
|
#endif |
| 446 |
jmc |
1.1 |
|
| 447 |
|
|
C Compute final flux values at surfaces. |
| 448 |
|
|
|
| 449 |
|
|
fct = k12*(Tsf-Tice(1)) |
| 450 |
jmc |
1.16 |
flxCnB(i,j) = 4. _d 0*kIce *(Tice(2)-Tf)/hi |
| 451 |
jmc |
1.1 |
flx0 = flx0 + df0dT*dTsf |
| 452 |
|
|
IF ( useBlkFlx ) THEN |
| 453 |
|
|
C-- needs to update also Evap (Tsf changes) since Latent heat has been updated |
| 454 |
jmc |
1.8 |
evpAtm(i,j) = evap + dEvdT*dTsf |
| 455 |
jmc |
1.1 |
ELSE |
| 456 |
jmc |
1.7 |
C- WARNING: Evap & +Evap*Lfresh are missing ! (but only affects Diagnostics) |
| 457 |
jmc |
1.8 |
evpAtm(i,j) = 0. |
| 458 |
jmc |
1.1 |
ENDIF |
| 459 |
jmc |
1.7 |
C- energy flux to Atmos: use net short-wave flux at surf. and |
| 460 |
|
|
C use latent heat = Lvap (energy=0 for liq. water at 0.oC) |
| 461 |
jmc |
1.8 |
flxAtm(i,j) = netSW + flxExceptSw |
| 462 |
|
|
& + df0dT*dTsf + evpAtm(i,j)*Lfresh |
| 463 |
jmc |
1.7 |
C- excess of energy @ surface (used for surface melting): |
| 464 |
jmc |
1.8 |
sHeat(i,j) = flx0 - fct |
| 465 |
jmc |
1.1 |
|
| 466 |
|
|
C- SW flux at sea-ice base left to the ocean |
| 467 |
jmc |
1.8 |
flxSW(i,j) = fswocn |
| 468 |
jmc |
1.1 |
|
| 469 |
jmc |
1.8 |
#ifdef ALLOW_DBUG_THSICE |
| 470 |
|
|
IF ( dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 471 |
|
|
& 'ThSI_SOLVE4T: flx0,fct,Dif,flxCnB=', |
| 472 |
|
|
& flx0,fct,flx0-fct,flxCnB(i,j) |
| 473 |
|
|
#endif |
| 474 |
jmc |
1.1 |
|
| 475 |
|
|
C Compute new enthalpy for each layer. |
| 476 |
|
|
|
| 477 |
jmc |
1.16 |
qicen(1) = -cpWater*Tmlt1 + cpIce *(Tmlt1-Tice(1)) |
| 478 |
jmc |
1.7 |
& + Lfresh*(1. _d 0-Tmlt1/Tice(1)) |
| 479 |
jmc |
1.16 |
qicen(2) = -cpIce *Tice(2) + Lfresh |
| 480 |
jmc |
1.1 |
|
| 481 |
|
|
C Make sure internal ice temperatures do not exceed Tmlt. |
| 482 |
jmc |
1.16 |
C (This should not happen for reasonable values of i0swFrac) |
| 483 |
jmc |
1.1 |
|
| 484 |
jmc |
1.7 |
IF (Tice(1) .GE. Tmlt1) THEN |
| 485 |
jmc |
1.6 |
WRITE (6,'(A,2I4,2I3,1P2E14.6)') |
| 486 |
jmc |
1.12 |
& ' BBerr - Bug: IceT(1) > Tmlt',i,j,bi,bj,Tice(1),Tmlt1 |
| 487 |
jmc |
1.6 |
ENDIF |
| 488 |
|
|
IF (Tice(2) .GE. 0. _d 0) THEN |
| 489 |
|
|
WRITE (6,'(A,2I4,2I3,1P2E14.6)') |
| 490 |
jmc |
1.12 |
& ' BBerr - Bug: IceT(2) > 0',i,j,bi,bj,Tice(2) |
| 491 |
jmc |
1.6 |
ENDIF |
| 492 |
jmc |
1.1 |
|
| 493 |
jmc |
1.8 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 494 |
|
|
C-- Update Sea-Ice state : |
| 495 |
|
|
tSrf(i,j) = Tsf |
| 496 |
|
|
tIc1(i,j) = Tice(1) |
| 497 |
|
|
tic2(i,j) = Tice(2) |
| 498 |
|
|
qIc1(i,j) = qicen(1) |
| 499 |
|
|
qIc2(i,j) = qicen(2) |
| 500 |
|
|
c dTsrf(i,j) = dTsf |
| 501 |
|
|
IF ( .NOT.useBlkFlx ) dTsrf(i,j) = dTsf |
| 502 |
|
|
c sHeat(i,j) = sHeating |
| 503 |
|
|
c flxCnB(i,j)= flxCnB |
| 504 |
|
|
c flxAtm(i,j)= flxAtm |
| 505 |
|
|
c evpAtm(i,j)= evpAtm |
| 506 |
|
|
#ifdef ALLOW_DBUG_THSICE |
| 507 |
|
|
IF ( dBug(i,j,bi,bj) ) THEN |
| 508 |
|
|
WRITE(6,1020) 'ThSI_SOLV_4T: Tsf, Tice(1,2), dTsurf=', |
| 509 |
|
|
& Tsf, Tice, dTsf |
| 510 |
|
|
WRITE(6,1020) 'ThSI_SOLV_4T: sHeat, flxCndBt, Qice =', |
| 511 |
|
|
& sHeat(i,j), flxCnB(i,j), qicen |
| 512 |
|
|
WRITE(6,1020) 'ThSI_SOLV_4T: flxA, evpA, fxSW_bf,af=', |
| 513 |
|
|
& flxAtm(i,j), evpAtm(i,j), netSW, flxSW(i,j) |
| 514 |
|
|
ENDIF |
| 515 |
|
|
#endif |
| 516 |
|
|
ELSE |
| 517 |
|
|
IF ( .NOT.useBlkFlx ) dTsrf(i,j) = 0. _d 0 |
| 518 |
|
|
ENDIF |
| 519 |
|
|
ENDDO |
| 520 |
|
|
ENDDO |
| 521 |
jmc |
1.1 |
#endif /* ALLOW_THSICE */ |
| 522 |
|
|
|
| 523 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 524 |
|
|
|
| 525 |
|
|
RETURN |
| 526 |
|
|
END |
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