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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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120 |
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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 |
125 |
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_RL hi |
126 |
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_RL hs |
127 |
jmc |
1.8 |
_RL netSW |
128 |
jmc |
1.1 |
_RL Tsf |
129 |
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_RL qicen(nlyr) |
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_RL Tice (nlyr) |
131 |
jmc |
1.8 |
c _RL sHeating |
132 |
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c _RL flxCnB |
133 |
jmc |
1.1 |
_RL dTsf |
134 |
jmc |
1.8 |
c _RL flxAtm |
135 |
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c _RL evpAtm |
136 |
jmc |
1.1 |
|
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C == Local Variables == |
138 |
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 |
153 |
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C dt :: timestep |
154 |
jmc |
1.8 |
INTEGER i,j |
155 |
jmc |
1.6 |
INTEGER k, iterMax |
156 |
jmc |
1.18 |
_RL frsnow |
157 |
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_RL fswpen |
158 |
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_RL fswdn |
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_RL fswint |
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_RL fswocn |
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_RL flxExceptSw |
162 |
jmc |
1.1 |
_RL evap, dEvdT |
163 |
jmc |
1.18 |
_RL flx0 |
164 |
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_RL fct |
165 |
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_RL df0dT |
166 |
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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 |
170 |
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_RL dt |
171 |
jmc |
1.17 |
_RL recip_dhSnowLin |
172 |
jmc |
1.8 |
INTEGER iceornot |
173 |
mlosch |
1.9 |
LOGICAL useBlkFlx |
174 |
jmc |
1.1 |
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jmc |
1.8 |
C- define grid-point location where to print debugging values |
176 |
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#include "THSICE_DEBUG.h" |
177 |
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) |
180 |
jmc |
1.1 |
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jmc |
1.8 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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183 |
heimbach |
1.14 |
#ifdef ALLOW_AUTODIFF_TAMC |
184 |
heimbach |
1.15 |
act1 = bi - myBxLo(myThid) |
185 |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
186 |
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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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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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200 |
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) |
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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 |
209 |
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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 |
214 |
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CADJ STORE df0dt = comlev1_thsice_1, key=ikey_1 |
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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-|--+----| |
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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 |
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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 |
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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 |
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& k32 * (4. _d 0*dt*k32 + rhoi*cpIce *hi) |
292 |
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& / (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 |
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& / (6. _d 0*dt*k32 + rhoi*cpIce *hi) - fswint |
298 |
jmc |
1.1 |
c1 = rhoi*Lfresh*hi*Tmlt1 / (2. _d 0*dt) |
299 |
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|
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 |