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C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_solve4temp.F,v 1.18 2011/12/22 12:35:02 mlosch Exp $ |
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C $Name: $ |
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|
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#include "SEAICE_OPTIONS.h" |
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#ifdef ALLOW_EXF |
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# include "EXF_OPTIONS.h" |
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#endif |
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|
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CBOP |
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C !ROUTINE: SEAICE_SOLVE4TEMP |
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C !INTERFACE: |
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SUBROUTINE SEAICE_SOLVE4TEMP( |
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I UG, HICE_ACTUAL, HSNOW_ACTUAL, |
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#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
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I F_lh_max, |
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#endif |
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U TSURF, |
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O F_ia, IcePenetSWFlux, |
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O FWsublim, |
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I bi, bj, myTime, myIter, myThid ) |
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|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE SOLVE4TEMP |
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C | o Calculate ice growth rate, surface fluxes and |
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C | temperature of ice surface. |
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C | see Hibler, MWR, 108, 1943-1973, 1980 |
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C *==========================================================* |
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C \ev |
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|
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C !USES: |
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IMPLICIT NONE |
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C === Global variables === |
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#include "SIZE.h" |
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#include "GRID.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "FFIELDS.h" |
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#include "SEAICE_SIZE.h" |
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#include "SEAICE_PARAMS.h" |
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#include "SEAICE.h" |
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#ifdef SEAICE_VARIABLE_FREEZING_POINT |
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#include "DYNVARS.h" |
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#endif /* SEAICE_VARIABLE_FREEZING_POINT */ |
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#ifdef ALLOW_EXF |
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# include "EXF_FIELDS.h" |
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#endif |
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#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.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 INPUT: |
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C UG :: thermal wind of atmosphere |
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C HICE_ACTUAL :: actual ice thickness |
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C HSNOW_ACTUAL :: actual snow thickness |
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C TSURF :: surface temperature of ice in Kelvin, updated |
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C bi,bj :: loop indices |
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C OUTPUT: |
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C F_io_net :: net upward conductive heat flux through ice at the base |
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C of the ice |
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C F_ia_net :: net heat flux divergence at the sea ice/snow surface: |
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C includes ice conductive fluxes and atmospheric fluxes (W/m^2) |
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C F_ia :: upward sea ice/snow surface heat flux to atmosphere (W/m^2) |
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C IcePenetSWFlux :: short wave heat flux under ice |
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C FWsublim :: fresh water (mass) flux implied by latent heat of |
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C sublimation (kg/m^2/s) |
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_RL UG (1:sNx,1:sNy) |
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_RL HICE_ACTUAL (1:sNx,1:sNy) |
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_RL HSNOW_ACTUAL (1:sNx,1:sNy) |
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#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
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_RL F_lh_max (1:sNx,1:sNy) |
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#endif |
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_RL TSURF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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c _RL F_io_net (1:sNx,1:sNy) |
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c _RL F_ia_net (1:sNx,1:sNy) |
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_RL F_ia (1:sNx,1:sNy) |
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_RL IcePenetSWFlux (1:sNx,1:sNy) |
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_RL FWsublim (1:sNx,1:sNy) |
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INTEGER bi, bj |
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_RL myTime |
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INTEGER myIter, myThid |
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CEOP |
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|
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#if defined(ALLOW_ATM_TEMP) && defined(ALLOW_DOWNWARD_RADIATION) |
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C !LOCAL VARIABLES: |
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C === Local variables === |
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_RL F_io_net (1:sNx,1:sNy) |
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_RL F_ia_net (1:sNx,1:sNy) |
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#ifndef SEAICE_SOLVE4TEMP_LEGACY |
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_RL F_swi (1:sNx,1:sNy) |
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_RL F_lwd (1:sNx,1:sNy) |
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_RL F_lwu (1:sNx,1:sNy) |
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_RL F_sens (1:sNx,1:sNy) |
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_RL hice_tmp |
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#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
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_RL F_lh (1:sNx,1:sNy) |
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_RL F_c (1:sNx,1:sNy) |
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_RL qhice (1:sNx,1:sNy) |
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|
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_RL AbsorbedSWFlux (1:sNx,1:sNy) |
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_RL IcePenetSWFluxFrac (1:sNx,1:sNy) |
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|
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C local copies of global variables |
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_RL tsurfLoc (1:sNx,1:sNy) |
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_RL atempLoc (1:sNx,1:sNy) |
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_RL lwdownLoc (1:sNx,1:sNy) |
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_RL ALB (1:sNx,1:sNy) |
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_RL ALB_ICE (1:sNx,1:sNy) |
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_RL ALB_SNOW (1:sNx,1:sNy) |
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|
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C i, j :: Loop counters |
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C kSrf :: vertical index of surface layer |
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INTEGER i, j |
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#ifdef SEAICE_VARIABLE_FREEZING_POINT |
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INTEGER kSrf |
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#endif /* SEAICE_VARIABLE_FREEZING_POINT */ |
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INTEGER ITER |
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|
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C This is HICE_ACTUAL.GT.0. |
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LOGICAL iceOrNot(1:sNx,1:sNy) |
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|
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C TB :: temperature in boundary layer (=freezing point temperature) (K) |
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_RL TB (1:sNx,1:sNy) |
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C |
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_RL D1, D1I |
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_RL D3(1:sNx,1:sNy) |
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_RL TMELT, XKI, XKS, HCUT, XIO |
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_RL SurfMeltTemp |
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C effective conductivity of combined ice and snow |
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_RL effConduct(1:sNx,1:sNy) |
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|
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C Constants to calculate Saturation Vapor Pressure |
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#ifdef SEAICE_SOLVE4TEMP_LEGACY |
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_RL TMELTP, C1, C2, C3, C4, C5, QS1 |
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_RL A2 (1:sNx,1:sNy) |
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_RL A3 (1:sNx,1:sNy) |
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c _RL B (1:sNx,1:sNy) |
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_RL A1 (1:sNx,1:sNy) |
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#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
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_RL dFiDTs1 |
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_RL aa1,aa2,bb1,bb2,Ppascals,cc0,cc1,cc2,cc3t |
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C specific humidity at ice surface variables |
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_RL mm_pi,mm_log10pi,dqhice_dTice |
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#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
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|
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C latent heat of sublimation for ice (SEAICE_lhEvap + |
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C SEAICE_lhFusion) |
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_RL lhSublim |
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|
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C powers of temperature |
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_RL t1, t2, t3, t4 |
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_RL lnTEN |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ INIT comlev1_solve4temp = COMMON, sNx*sNy*NMAX_TICE |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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lnTEN = log(10.0 _d 0) |
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#ifdef SEAICE_SOLVE4TEMP_LEGACY |
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C MAYKUTS CONSTANTS FOR SAT. VAP. PRESSURE TEMP. POLYNOMIAL |
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C1= 2.7798202 _d -06 |
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C2= -2.6913393 _d -03 |
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C3= 0.97920849 _d +00 |
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C4= -158.63779 _d +00 |
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C5= 9653.1925 _d +00 |
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|
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QS1=0.622 _d +00/1013.0 _d +00 |
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|
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#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
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aa1 = 2663.5 _d 0 |
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aa2 = 12.537 _d 0 |
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bb1 = 0.622 _d 0 |
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bb2 = 1.0 _d 0 - bb1 |
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Ppascals = 100000. _d 0 |
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C cc0 = TEN ** aa2 |
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cc0 = exp(aa2*lnTEN) |
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cc1 = cc0*aa1*bb1*Ppascals*lnTEN |
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cc2 = cc0*bb2 |
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#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
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|
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#ifdef SEAICE_VARIABLE_FREEZING_POINT |
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kSrf = 1 |
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#endif /* SEAICE_VARIABLE_FREEZING_POINT */ |
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|
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C SENSIBLE HEAT CONSTANT |
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D1=SEAICE_dalton*SEAICE_cpAir*SEAICE_rhoAir |
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|
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C ICE LATENT HEAT CONSTANT |
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lhSublim = SEAICE_lhEvap + SEAICE_lhFusion |
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D1I=SEAICE_dalton*lhSublim*SEAICE_rhoAir |
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|
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C MELTING TEMPERATURE OF ICE |
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#ifdef SEAICE_SOLVE4TEMP_LEGACY |
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TMELT = 273.16 _d +00 |
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TMELTP = 273.159 _d +00 |
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SurfMeltTemp = TMELTP |
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#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
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TMELT = celsius2K |
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SurfMeltTemp = TMELT |
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#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
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|
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C ICE CONDUCTIVITY |
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XKI=SEAICE_iceConduct |
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|
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C SNOW CONDUCTIVITY |
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XKS=SEAICE_snowConduct |
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|
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C CUTOFF SNOW THICKNESS |
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HCUT=SEAICE_snowThick |
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|
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C PENETRATION SHORTWAVE RADIATION FACTOR |
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XIO=SEAICE_shortwave |
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|
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C Initialize variables |
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DO J=1,sNy |
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DO I=1,sNx |
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C HICE_ACTUAL is modified in this routine, but at the same time |
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C used to decided where there is ice, therefore we save this information |
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C here in a separate array |
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iceOrNot (I,J) = HICE_ACTUAL(I,J) .GT. 0. _d 0 |
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C |
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IcePenetSWFlux (I,J) = 0. _d 0 |
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IcePenetSWFluxFrac (I,J) = 0. _d 0 |
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AbsorbedSWFlux (I,J) = 0. _d 0 |
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|
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qhice (I,J) = 0. _d 0 |
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F_ia (I,J) = 0. _d 0 |
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|
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F_io_net (I,J) = 0. _d 0 |
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F_ia_net (I,J) = 0. _d 0 |
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|
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F_lh (I,J) = 0. _d 0 |
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|
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C Reset the snow/ice surface to TMELT and bound the atmospheric temperature |
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#ifdef SEAICE_SOLVE4TEMP_LEGACY |
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tsurfLoc (I,J) = MIN(273.16 _d 0 + MAX_TICE,TSURF(I,J,bi,bj)) |
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atempLoc (I,J) = MAX(273.16 _d 0 + MIN_ATEMP,ATEMP(I,J,bi,bj)) |
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A1(I,J) = 0.0 _d 0 |
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A2(I,J) = 0.0 _d 0 |
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A3(I,J) = 0.0 _d 0 |
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c B(I,J) = 0.0 _d 0 |
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lwdownLoc(I,J) = MAX(MIN_LWDOWN,LWDOWN(I,J,bi,bj)) |
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#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
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F_swi (I,J) = 0. _d 0 |
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F_lwd (I,J) = 0. _d 0 |
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F_lwu (I,J) = 0. _d 0 |
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F_sens (I,J) = 0. _d 0 |
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|
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tsurfLoc (I,J) = TSURF(I,J,bi,bj) |
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atempLoc (I,J) = MAX(TMELT + MIN_ATEMP,ATEMP(I,J,bi,bj)) |
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lwdownLoc(I,J) = LWDOWN(I,J,bi,bj) |
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#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
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|
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C FREEZING TEMPERATURE OF SEAWATER |
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#ifdef SEAICE_VARIABLE_FREEZING_POINT |
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C Use a variable seawater freezing point |
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TB(I,J) = -0.0575 _d 0*salt(I,J,kSrf,bi,bj) + 0.0901 _d 0 |
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& + celsius2K |
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#else |
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C Use a constant freezing temperature (SEAICE_VARIABLE_FREEZING_POINT undef) |
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#ifdef SEAICE_SOLVE4TEMP_LEGACY |
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TB(I,J) = 271.2 _d 0 |
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#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
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TB(I,J) = celsius2K + SEAICE_freeze |
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#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
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#endif /* SEAICE_VARIABLE_FREEZING_POINT */ |
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IF(HSNOW_ACTUAL(I,J).GT.0.0) THEN |
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C Stefan-Boltzman constant times emissivity |
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D3(I,J)=SEAICE_snow_emiss*SEAICE_boltzmann |
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#ifdef EXF_LWDOWN_WITH_EMISSIVITY |
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C This is now [(1-emiss)*lwdown - lwdown] |
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lwdownloc(I,J) = SEAICE_snow_emiss*lwdownloc(I,J) |
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#else /* use the old hard wired inconsistent value */ |
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lwdownloc(I,J) = 0.97 _d 0*lwdownloc(I,J) |
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#endif /* EXF_LWDOWN_WITH_EMISSIVITY */ |
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ELSE |
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C Stefan-Boltzman constant times emissivity |
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D3(I,J)=SEAICE_ice_emiss*SEAICE_boltzmann |
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#ifdef EXF_LWDOWN_WITH_EMISSIVITY |
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C This is now [(1-emiss)*lwdown - lwdown] |
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lwdownloc(I,J) = SEAICE_ice_emiss*lwdownloc(I,J) |
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#else /* use the old hard wired inconsistent value */ |
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lwdownloc(I,J) = 0.97 _d 0*lwdownloc(I,J) |
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#endif /* EXF_LWDOWN_WITH_EMISSIVITY */ |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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DO J=1,sNy |
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DO I=1,sNx |
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|
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C DECIDE ON ALBEDO |
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IF ( iceOrNot(I,J) ) THEN |
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|
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IF ( YC(I,J,bi,bj) .LT. 0.0 _d 0 ) THEN |
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IF (tsurfLoc(I,J) .GE. SurfMeltTemp) THEN |
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ALB_ICE (I,J) = SEAICE_wetIceAlb_south |
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ALB_SNOW(I,J) = SEAICE_wetSnowAlb_south |
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ELSE ! no surface melting |
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ALB_ICE (I,J) = SEAICE_dryIceAlb_south |
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ALB_SNOW(I,J) = SEAICE_drySnowAlb_south |
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ENDIF |
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ELSE !/ Northern Hemisphere |
| 306 |
IF (tsurfLoc(I,J) .GE. SurfMeltTemp) THEN |
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ALB_ICE (I,J) = SEAICE_wetIceAlb |
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ALB_SNOW(I,J) = SEAICE_wetSnowAlb |
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ELSE ! no surface melting |
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ALB_ICE (I,J) = SEAICE_dryIceAlb |
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ALB_SNOW(I,J) = SEAICE_drySnowAlb |
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ENDIF |
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ENDIF !/ Albedo for snow and ice |
| 314 |
|
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#ifdef SEAICE_SOLVE4TEMP_LEGACY |
| 316 |
C If actual snow thickness exceeds the cutoff thickness, use the |
| 317 |
C snow albedo |
| 318 |
IF (HSNOW_ACTUAL(I,J) .GT. HCUT) THEN |
| 319 |
ALB(I,J) = ALB_SNOW(I,J) |
| 320 |
C otherwise, use some combination of ice and snow albedo |
| 321 |
C (What is the source of this formulation ?) |
| 322 |
ELSE |
| 323 |
ALB(I,J) = MIN(ALB_ICE(I,J) + HSNOW_ACTUAL(I,J)/HCUT* |
| 324 |
& (ALB_SNOW(I,J) -ALB_ICE(I,J)), |
| 325 |
& ALB_SNOW(I,J)) |
| 326 |
ENDIF |
| 327 |
|
| 328 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 329 |
IF (HSNOW_ACTUAL(I,J) .GT. 0.0 _d 0) THEN |
| 330 |
ALB(I,J) = ALB_SNOW(I,J) |
| 331 |
ELSE |
| 332 |
ALB(I,J) = ALB_ICE(I,J) |
| 333 |
ENDIF |
| 334 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 335 |
|
| 336 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
| 337 |
C NOW DETERMINE FIXED FORCING TERM IN HEAT BUDGET |
| 338 |
|
| 339 |
IF(HSNOW_ACTUAL(I,J).GT.0.0) THEN |
| 340 |
C NO SW PENETRATION WITH SNOW |
| 341 |
A1(I,J)=(1.0 _d 0 - ALB(I,J))*SWDOWN(I,J,bi,bj) |
| 342 |
& +lwdownLoc(I,J) |
| 343 |
& +D1*UG(I,J)*atempLoc(I,J)+D1I*UG(I,J)*AQH(I,J,bi,bj) |
| 344 |
ELSE |
| 345 |
C SW PENETRATION UNDER ICE |
| 346 |
A1(I,J)=(1.0 _d 0 - ALB(I,J))*SWDOWN(I,J,bi,bj) |
| 347 |
& *(1.0 _d 0 - XIO*EXP(-1.5 _d 0*HICE_ACTUAL(I,J))) |
| 348 |
& +lwdownLoc(I,J) |
| 349 |
& +D1*UG(I,J)*atempLoc(I,J)+D1I*UG(I,J)*AQH(I,J,bi,bj) |
| 350 |
ENDIF |
| 351 |
|
| 352 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 353 |
|
| 354 |
C The longwave radiative flux convergence |
| 355 |
F_lwd(I,J) = - lwdownLoc(I,J) |
| 356 |
|
| 357 |
C Determine the fraction of shortwave radiative flux |
| 358 |
C remaining after scattering through the snow and ice at |
| 359 |
C the ocean interface. If snow is present, no radiation |
| 360 |
C penetrates to the ocean. |
| 361 |
IF (HSNOW_ACTUAL(I,J) .GT. 0.0 _d 0) THEN |
| 362 |
IcePenetSWFluxFrac(I,J) = 0.0 _d 0 |
| 363 |
ELSE |
| 364 |
IcePenetSWFluxFrac(I,J) = |
| 365 |
& XIO*EXP(-1.5 _d 0 * HICE_ACTUAL(I,J)) |
| 366 |
ENDIF |
| 367 |
|
| 368 |
C The shortwave radiative flux convergence in the |
| 369 |
C seaice. |
| 370 |
AbsorbedSWFlux(I,J) = -(1.0 _d 0 - ALB(I,J))* |
| 371 |
& (1.0 _d 0 - IcePenetSWFluxFrac(I,J)) |
| 372 |
& *SWDOWN(I,J,bi,bj) |
| 373 |
|
| 374 |
C The shortwave radiative flux convergence in the |
| 375 |
C ocean beneath ice. |
| 376 |
IcePenetSWFlux(I,J) = -(1.0 _d 0 - ALB(I,J))* |
| 377 |
& IcePenetSWFluxFrac(I,J) |
| 378 |
& *SWDOWN(I,J,bi,bj) |
| 379 |
|
| 380 |
F_swi(I,J) = AbsorbedSWFlux(I,J) |
| 381 |
|
| 382 |
C Set a mininum sea ice thickness of 5 cm to bound |
| 383 |
C the magnitude of conductive heat fluxes. |
| 384 |
cif * now taken care of by SEAICE_hice_reg in seaice_growth |
| 385 |
C hice_tmp = max(HICE_ACTUAL(I,J),5. _d -2) |
| 386 |
|
| 387 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 388 |
|
| 389 |
C The effective conductivity of the two-layer |
| 390 |
C snow/ice system. |
| 391 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
| 392 |
effConduct(I,J)= |
| 393 |
& XKS/(HSNOW_ACTUAL(I,J)/HICE_ACTUAL(I,J) + |
| 394 |
& XKS/XKI)/HICE_ACTUAL(I,J) |
| 395 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 396 |
effConduct(I,J) = XKI * XKS / |
| 397 |
& (XKS * HICE_ACTUAL(I,j) + XKI * HSNOW_ACTUAL(I,J)) |
| 398 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 399 |
|
| 400 |
#ifdef SEAICE_DEBUG |
| 401 |
IF ( (I .EQ. SEAICE_debugPointI) .and. |
| 402 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
| 403 |
|
| 404 |
print '(A,i6)','-----------------------------------' |
| 405 |
print '(A,i6)','ibi merged initialization ', myIter |
| 406 |
|
| 407 |
print '(A,i6,4(1x,D24.15))', |
| 408 |
& 'ibi iter, TSL, TS ',myIter, |
| 409 |
& tsurfLoc(I,J), TSURF(I,J,bi,bj) |
| 410 |
|
| 411 |
print '(A,i6,4(1x,D24.15))', |
| 412 |
& 'ibi iter, TMELT ',myIter,TMELT |
| 413 |
|
| 414 |
print '(A,i6,4(1x,D24.15))', |
| 415 |
& 'ibi iter, HIA, EFKCON ',myIter, |
| 416 |
& HICE_ACTUAL(I,J), effConduct(I,J) |
| 417 |
|
| 418 |
print '(A,i6,4(1x,D24.15))', |
| 419 |
& 'ibi iter, HSNOW ',myIter, |
| 420 |
& HSNOW_ACTUAL(I,J), ALB(I,J) |
| 421 |
|
| 422 |
print '(A,i6)','-----------------------------------' |
| 423 |
print '(A,i6)','ibi energy balance iterat ', myIter |
| 424 |
|
| 425 |
ENDIF |
| 426 |
#endif /* SEAICE_DEBUG */ |
| 427 |
|
| 428 |
ENDIF !/* iceOrNot */ |
| 429 |
ENDDO !/* i */ |
| 430 |
ENDDO !/* j */ |
| 431 |
Ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc |
| 432 |
DO ITER=1,IMAX_TICE |
| 433 |
DO J=1,sNy |
| 434 |
DO I=1,sNx |
| 435 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 436 |
iicekey = I + sNx*(J-1) + (ITER-1)*sNx*sNy |
| 437 |
CADJ STORE tsurfloc(i,j) = comlev1_solve4temp, |
| 438 |
CADJ & key = iicekey, byte = isbyte |
| 439 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 440 |
|
| 441 |
IF ( iceOrNot(I,J) ) THEN |
| 442 |
|
| 443 |
t1 = tsurfLoc(I,J) |
| 444 |
t2 = t1*t1 |
| 445 |
t3 = t2*t1 |
| 446 |
t4 = t2*t2 |
| 447 |
|
| 448 |
C Calculate the specific humidity in the BL above the snow/ice |
| 449 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
| 450 |
C Use the Maykut polynomial |
| 451 |
qhice(I,J)=QS1*(C1*t4+C2*t3 +C3*t2+C4*t1+C5) |
| 452 |
|
| 453 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 454 |
C Use an approximation which is more accurate at low temperatures |
| 455 |
|
| 456 |
C log 10 of the sat vap pressure |
| 457 |
mm_log10pi = -aa1 / t1 + aa2 |
| 458 |
|
| 459 |
C The saturation vapor pressure (SVP) in the surface |
| 460 |
C boundary layer (BL) above the snow/ice. |
| 461 |
C mm_pi = TEN **(mm_log10pi) |
| 462 |
C The following form does the same, but is faster |
| 463 |
mm_pi = exp(mm_log10pi*lnTEN) |
| 464 |
|
| 465 |
qhice(I,J) = bb1*mm_pi / (Ppascals - (1.0 _d 0 - bb1) * |
| 466 |
& mm_pi) |
| 467 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 468 |
|
| 469 |
C Calculate the flux terms based on the updated tsurfLoc |
| 470 |
F_c(I,J) = -effConduct(I,J)*(TB(I,J)-tsurfLoc(I,J)) |
| 471 |
F_lh(I,J) = D1I*UG(I,J)*(qhice(I,J)-AQH(I,J,bi,bj)) |
| 472 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
| 473 |
A2(I,J)=-D1*UG(I,J)*t1-D1I*UG(I,J)*qhice(I,J)-D3(I,J)*t4 |
| 474 |
A3(I,J) = 4.0 _d 0*D3(I,J)*t3 + effConduct(I,J)+D1*UG(I,J) |
| 475 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 476 |
C A constant for SVP derivative w.r.t TICE |
| 477 |
C cc3t = TEN **(aa1 / t1) |
| 478 |
C The following form does the same, but is faster |
| 479 |
cc3t = exp(aa1 / t1 * lnTEN) |
| 480 |
|
| 481 |
c d(qh)/d(TICE) |
| 482 |
dqhice_dTice = cc1*cc3t/((cc2-cc3t*Ppascals)**2 *t2) |
| 483 |
|
| 484 |
#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
| 485 |
c if the latent heat flux implied by tsurfLoc exceeds |
| 486 |
c F_lh_max, cap F_lh and decouple the flux magnitude from TICE |
| 487 |
if (F_lh(I,J) .GT. F_lh_max(I,J)) THEN |
| 488 |
F_lh(I,J) = F_lh_max(I,J) |
| 489 |
dqhice_dTice = ZERO |
| 490 |
endif |
| 491 |
#endif |
| 492 |
|
| 493 |
|
| 494 |
c d(F_ia)/d(TICE) |
| 495 |
dFiDTs1 = 4.0 _d 0*D3(I,J)*t3 + effConduct(I,J) + D1*UG(I,J) |
| 496 |
& + D1I*UG(I,J)*dqhice_dTice |
| 497 |
|
| 498 |
F_lwu(I,J)= t4 * D3(I,J) |
| 499 |
|
| 500 |
F_sens(I,J)= D1 * UG(I,J) * (t1 - atempLoc(I,J)) |
| 501 |
|
| 502 |
F_ia(I,J) = F_lwd(I,J) + F_swi(I,J) + F_lwu(I,J) + |
| 503 |
& F_c(I,J) + F_sens(I,J) + F_lh(I,J) |
| 504 |
|
| 505 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 506 |
|
| 507 |
#ifdef SEAICE_DEBUG |
| 508 |
IF ( (I .EQ. SEAICE_debugPointI) .and. |
| 509 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
| 510 |
print '(A,i6,4(1x,D24.15))', |
| 511 |
& 'ice-iter qhICE, ', ITER,qhIce(I,J) |
| 512 |
|
| 513 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
| 514 |
print '(A,i6,4(1x,D24.15))', |
| 515 |
& 'ice-iter A1 A2 B ', ITER,A1(I,J), A2(I,J), |
| 516 |
& -F_c(I,J) |
| 517 |
|
| 518 |
print '(A,i6,4(1x,D24.15))', |
| 519 |
& 'ice-iter A3 (-A1+A2) ', ITER, A3(I,J), |
| 520 |
& -(A1(I,J) + A2(I,J)) |
| 521 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 522 |
|
| 523 |
print '(A,i6,4(1x,D24.15))', |
| 524 |
& 'ice-iter dFiDTs1 F_ia ', ITER, dFiDTs1, |
| 525 |
& F_ia(I,J) |
| 526 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 527 |
|
| 528 |
ENDIF |
| 529 |
#endif /* SEAICE_DEBUG */ |
| 530 |
|
| 531 |
C Update tsurfLoc |
| 532 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
| 533 |
tsurfLoc(I,J)=tsurfLoc(I,J) |
| 534 |
& +(A1(I,J)+A2(I,J)-F_c(I,J))/A3(I,J) |
| 535 |
|
| 536 |
tsurfLoc(I,J) =MAX(273.16 _d 0+MIN_TICE,tsurfLoc(I,J)) |
| 537 |
tsurfLoc(I,J) =MIN(tsurfLoc(I,J),TMELT) |
| 538 |
|
| 539 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 540 |
tsurfLoc(I,J) = tsurfLoc(I,J) - F_ia(I,J) / dFiDTs1 |
| 541 |
|
| 542 |
C If the search leads to tsurfLoc < 50 Kelvin, |
| 543 |
C restart the search at tsurfLoc = TMELT. Note that one |
| 544 |
C solution to the energy balance problem is an |
| 545 |
C extremely low temperature - a temperature far below |
| 546 |
C realistic values. |
| 547 |
|
| 548 |
IF (tsurfLoc(I,J) .LT. 50.0 _d 0 ) THEN |
| 549 |
tsurfLoc(I,J) = TMELT |
| 550 |
ENDIF |
| 551 |
tsurfLoc(I,J) =MIN(tsurfLoc(I,J),TMELT) |
| 552 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 553 |
|
| 554 |
#ifdef SEAICE_DEBUG |
| 555 |
IF ( (I .EQ. SEAICE_debugPointI) .and. |
| 556 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
| 557 |
|
| 558 |
print '(A,i6,4(1x,D24.15))', |
| 559 |
& 'ice-iter tsurfLc,|dif|', ITER, |
| 560 |
& tsurfLoc(I,J), |
| 561 |
& log10(abs(tsurfLoc(I,J) - t1)) |
| 562 |
ENDIF |
| 563 |
#endif /* SEAICE_DEBUG */ |
| 564 |
|
| 565 |
ENDIF !/* iceOrNot */ |
| 566 |
ENDDO !/* i */ |
| 567 |
ENDDO !/* j */ |
| 568 |
ENDDO !/* Iterations */ |
| 569 |
Ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc |
| 570 |
DO J=1,sNy |
| 571 |
DO I=1,sNx |
| 572 |
IF ( iceOrNot(I,J) ) THEN |
| 573 |
|
| 574 |
C Finalize the flux terms |
| 575 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
| 576 |
F_ia(I,J)=-A1(I,J)-A2(I,J) |
| 577 |
TSURF(I,J,bi,bj)=MIN(tsurfLoc(I,J),TMELT) |
| 578 |
|
| 579 |
IF (HSNOW_ACTUAL(I,J) .GT. 0.0 _d 0 ) THEN |
| 580 |
C NO SW PENETRATION WITH SNOW |
| 581 |
IcePenetSWFlux(I,J)=0.0 _d 0 |
| 582 |
ELSE |
| 583 |
C SW PENETRATION UNDER ICE |
| 584 |
IcePenetSWFlux(I,J)=-(1.0 _d 0 -ALB(I,J))*SWDOWN(I,J,bi,bj) |
| 585 |
& *XIO*EXP(-1.5 _d 0*HICE_ACTUAL(I,J)) |
| 586 |
ENDIF |
| 587 |
|
| 588 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 589 |
TSURF(I,J,bi,bj) = tsurfLoc(I,J) |
| 590 |
|
| 591 |
C Recalculate the fluxes based on the (possibly) adjusted TSURF |
| 592 |
t1 = tsurfLoc(I,J) |
| 593 |
t2 = t1*t1 |
| 594 |
t3 = t2*t1 |
| 595 |
t4 = t2*t2 |
| 596 |
|
| 597 |
C log 10 of the sat vap pressure |
| 598 |
mm_log10pi = -aa1 / t1 + aa2 |
| 599 |
|
| 600 |
C saturation vapor pressure |
| 601 |
C mm_pi = TEN **(mm_log10pi) |
| 602 |
C The following form does the same, but is faster |
| 603 |
mm_pi = exp(mm_log10pi*lnTEN) |
| 604 |
|
| 605 |
C over ice specific humidity |
| 606 |
qhice(I,J) = bb1*mm_pi/(Ppascals- (1.0 _d 0 - bb1) * mm_pi) |
| 607 |
|
| 608 |
F_lh(I,J) = D1I * UG(I,J)*(qhice(I,J)-AQH(I,J,bi,bj)) |
| 609 |
|
| 610 |
#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
| 611 |
if (F_lh(I,J) .GT. F_lh_max(I,J)) THEN |
| 612 |
F_lh(I,J) = F_lh_max(I,J) |
| 613 |
endif |
| 614 |
#endif |
| 615 |
|
| 616 |
F_c(I,J) = -effConduct(I,J) * (TB(I,J) - t1) |
| 617 |
F_lwu(I,J) = t4 * D3(I,J) |
| 618 |
F_sens(I,J) = D1 * UG(I,J) * (t1 - atempLoc(I,J)) |
| 619 |
|
| 620 |
C The flux between the ice/snow surface and the atmosphere. |
| 621 |
C (excludes upward conductive fluxes) |
| 622 |
F_ia(I,J) = F_lwd(I,J) + F_swi(I,J) + F_lwu(I,J) + |
| 623 |
& F_sens(I,J) + F_lh(I,J) |
| 624 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 625 |
|
| 626 |
#ifdef SEAICE_MODIFY_GROWTH_ADJ |
| 627 |
Cgf no additional dependency through solver, snow, etc. |
| 628 |
if ( SEAICEadjMODE.GE.2 ) then |
| 629 |
CALL ZERO_ADJ_1D( 1, TSURF(I,J,bi,bj), myThid) |
| 630 |
t1 = TSURF(I,J,bi,bj) |
| 631 |
t2 = t1*t1 |
| 632 |
t3 = t2*t1 |
| 633 |
t4 = t2*t2 |
| 634 |
qhice(I,J)=QS1*(C1*t4+C2*t3 +C3*t2+C4*t1+C5) |
| 635 |
|
| 636 |
A1(I,J)=0.3 _d 0 *SWDOWN(I,J,bi,bj)+lwdownLoc(I,J) |
| 637 |
& +D1*UG(I,J)*atempLoc(I,J)+D1I*UG(I,J)*AQH(I,J,bi,bj) |
| 638 |
A2(I,J)=-D1*UG(I,J)*t1-D1I*UG(I,J)*qhice(I,J)-D3(I,J)*t4 |
| 639 |
|
| 640 |
F_ia(I,J)=-A1(I,J)-A2(I,J) |
| 641 |
IcePenetSWFlux(I,J)= 0. _d 0 |
| 642 |
endif |
| 643 |
#endif |
| 644 |
|
| 645 |
C Caclulate the net ice-ocean and ice-atmosphere fluxes |
| 646 |
IF (F_c(I,J) .LT. 0.0 _d 0) THEN |
| 647 |
F_io_net(I,J) = -F_c(I,J) |
| 648 |
F_ia_net(I,J) = 0.0 _d 0 |
| 649 |
ELSE |
| 650 |
F_io_net(I,J) = 0.0 _d 0 |
| 651 |
F_ia_net(I,J) = F_ia(I,J) |
| 652 |
ENDIF !/* conductive fluxes up or down */ |
| 653 |
C Fresh water flux (kg/m^2/s) from latent heat of sublimation. |
| 654 |
C F_lh is positive upward (sea ice looses heat) and FWsublim |
| 655 |
C is also positive upward (atmosphere gains freshwater) |
| 656 |
FWsublim(I,J) = F_lh(I,J)/lhSublim |
| 657 |
|
| 658 |
#ifdef SEAICE_DEBUG |
| 659 |
IF ( (I .EQ. SEAICE_debugPointI) .and. |
| 660 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
| 661 |
|
| 662 |
print '(A)','----------------------------------------' |
| 663 |
print '(A,i6)','ibi complete ', myIter |
| 664 |
|
| 665 |
print '(A,4(1x,D24.15))', |
| 666 |
& 'ibi T(SURF, surfLoc,atmos) ', |
| 667 |
& TSURF(I,J,bi,bj), tsurfLoc(I,J),atempLoc(I,J) |
| 668 |
|
| 669 |
print '(A,4(1x,D24.15))', |
| 670 |
& 'ibi LWL ', lwdownLoc(I,J) |
| 671 |
|
| 672 |
print '(A,4(1x,D24.15))', |
| 673 |
& 'ibi QSW(Total, Penetrating)', |
| 674 |
& SWDOWN(I,J,bi,bj), IcePenetSWFlux(I,J) |
| 675 |
|
| 676 |
print '(A,4(1x,D24.15))', |
| 677 |
& 'ibi qh(ATM ICE) ', |
| 678 |
& AQH(I,J,bi,bj),qhice(I,J) |
| 679 |
|
| 680 |
#ifndef SEAICE_SOLVE4TEMP_LEGACY |
| 681 |
print '(A,4(1x,D24.15))', |
| 682 |
& 'ibi F(lwd,swi,lwu) ', |
| 683 |
& F_lwd(I,J), F_swi(I,J), F_lwu(I,J) |
| 684 |
|
| 685 |
print '(A,4(1x,D24.15))', |
| 686 |
& 'ibi F(c,lh,sens) ', |
| 687 |
& F_c(I,J), F_lh(I,J), F_sens(I,J) |
| 688 |
|
| 689 |
#ifdef SEAICE_ADD_SUBLIMATION_TO_FWBUDGET |
| 690 |
IF (F_lh_max(I,J) .GT. ZERO) THEN |
| 691 |
print '(A,4(1x,D24.15))', |
| 692 |
& 'ibi F_lh_max, F_lh/lhmax) ', |
| 693 |
& F_lh_max(I,J), F_lh(I,J)/ F_lh_max(I,J) |
| 694 |
ELSE |
| 695 |
print '(A,4(1x,D24.15))', |
| 696 |
& 'ibi F_lh_max = ZERO! ' |
| 697 |
ENDIF |
| 698 |
|
| 699 |
print '(A,4(1x,D24.15))', |
| 700 |
& 'ibi FWsub, FWsubm*dT/rhoI ', |
| 701 |
& FWsublim(I,J), |
| 702 |
& FWsublim(I,J)*SEAICE_deltaTtherm/SEAICE_rhoICE |
| 703 |
#endif |
| 704 |
#endif |
| 705 |
|
| 706 |
print '(A,4(1x,D24.15))', |
| 707 |
& 'ibi F_ia, F_ia_net, F_c ', |
| 708 |
#ifdef SEAICE_SOLVE4TEMP_LEGACY |
| 709 |
& -(A1(I,J)+A2(I,J)), |
| 710 |
& -(A1(I,J)+A2(I,J)-F_c(I,J)), |
| 711 |
& F_c(I,J) |
| 712 |
#else /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 713 |
& F_ia(I,J), |
| 714 |
& F_ia_net(I,J), |
| 715 |
& F_c(I,J) |
| 716 |
#endif /* SEAICE_SOLVE4TEMP_LEGACY */ |
| 717 |
|
| 718 |
print '(A)','----------------------------------------' |
| 719 |
|
| 720 |
ENDIF |
| 721 |
#endif /* SEAICE_DEBUG */ |
| 722 |
|
| 723 |
ENDIF !/* iceOrNot */ |
| 724 |
ENDDO !/* i */ |
| 725 |
ENDDO !/* j */ |
| 726 |
|
| 727 |
#endif /* ALLOW_ATM_TEMP && ALLOW_DOWNWARD_RADIATION */ |
| 728 |
RETURN |
| 729 |
END |
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