| 1 |
mlosch |
1.36 |
C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_solve4temp.F,v 1.35 2012/03/06 01:28:11 jmc Exp $ |
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jmc |
1.1 |
C $Name: $ |
| 3 |
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| 4 |
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#include "SEAICE_OPTIONS.h" |
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jmc |
1.19 |
#ifdef ALLOW_EXF |
| 6 |
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# include "EXF_OPTIONS.h" |
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#endif |
| 8 |
jmc |
1.1 |
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CBOP |
| 10 |
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C !ROUTINE: SEAICE_SOLVE4TEMP |
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C !INTERFACE: |
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SUBROUTINE SEAICE_SOLVE4TEMP( |
| 13 |
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I UG, HICE_ACTUAL, HSNOW_ACTUAL, |
| 14 |
gforget |
1.30 |
#ifdef SEAICE_CAP_SUBLIM |
| 15 |
ifenty |
1.16 |
I F_lh_max, |
| 16 |
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#endif |
| 17 |
gforget |
1.34 |
I TSURFin, |
| 18 |
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O TSURFout, |
| 19 |
jmc |
1.21 |
O F_ia, IcePenetSW, |
| 20 |
mlosch |
1.10 |
O FWsublim, |
| 21 |
jmc |
1.1 |
I bi, bj, myTime, myIter, myThid ) |
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| 23 |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
| 25 |
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C | SUBROUTINE SOLVE4TEMP |
| 26 |
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C | o Calculate ice growth rate, surface fluxes and |
| 27 |
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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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C !USES: |
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IMPLICIT NONE |
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C === Global variables === |
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#include "SIZE.h" |
| 36 |
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#include "GRID.h" |
| 37 |
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#include "EEPARAMS.h" |
| 38 |
jmc |
1.3 |
#include "PARAMS.h" |
| 39 |
jmc |
1.1 |
#include "FFIELDS.h" |
| 40 |
heimbach |
1.13 |
#include "SEAICE_SIZE.h" |
| 41 |
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#include "SEAICE_PARAMS.h" |
| 42 |
jmc |
1.1 |
#include "SEAICE.h" |
| 43 |
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#include "DYNVARS.h" |
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#ifdef ALLOW_EXF |
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# include "EXF_FIELDS.h" |
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#endif |
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mlosch |
1.8 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 48 |
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# include "tamc.h" |
| 49 |
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#endif |
| 50 |
jmc |
1.1 |
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| 51 |
jmc |
1.21 |
C !INPUT PARAMETERS: |
| 52 |
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C UG :: atmospheric wind speed (m/s) |
| 53 |
jmc |
1.1 |
C HICE_ACTUAL :: actual ice thickness |
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C HSNOW_ACTUAL :: actual snow thickness |
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jmc |
1.21 |
C TSURF :: surface temperature of ice/snow in Kelvin |
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C bi,bj :: tile indices |
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C myTime :: current time in simulation |
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C myIter :: iteration number in simulation |
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C myThid :: my Thread Id number |
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C !OUTPUT PARAMETERS: |
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C TSURF :: updated surface temperature of ice/snow in Kelvin |
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C F_ia :: upward seaice/snow surface heat flux to atmosphere (W/m^2) |
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C IcePenetSW :: short wave heat flux transmitted through ice (+=upward) |
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C FWsublim :: fresh water (mass) flux due to sublimation (+=up)(kg/m^2/s) |
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jmc |
1.24 |
C---- Notes: |
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C 1) should add IcePenetSW to F_ia to get the net surface heat flux |
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C from the atmosphere (IcePenetSW not currently included in F_ia) |
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C 2) since zero ice/snow heat capacity is assumed, all the absorbed Short |
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C -Wave is used to warm the ice/snow surface (heating profile ignored). |
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C---------- |
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jmc |
1.21 |
_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) |
| 74 |
gforget |
1.30 |
#ifdef SEAICE_CAP_SUBLIM |
| 75 |
jmc |
1.21 |
_RL F_lh_max (1:sNx,1:sNy) |
| 76 |
ifenty |
1.16 |
#endif |
| 77 |
gforget |
1.34 |
_RL TSURFin (1:sNx,1:sNy) |
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_RL TSURFout (1:sNx,1:sNy) |
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jmc |
1.21 |
_RL F_ia (1:sNx,1:sNy) |
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_RL IcePenetSW (1:sNx,1:sNy) |
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_RL FWsublim (1:sNx,1:sNy) |
| 82 |
jmc |
1.1 |
INTEGER bi, bj |
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_RL myTime |
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INTEGER myIter, myThid |
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jmc |
1.19 |
CEOP |
| 86 |
jmc |
1.1 |
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jmc |
1.19 |
#if defined(ALLOW_ATM_TEMP) && defined(ALLOW_DOWNWARD_RADIATION) |
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jmc |
1.1 |
C !LOCAL VARIABLES: |
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C === Local variables === |
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jmc |
1.3 |
C i, j :: Loop counters |
| 91 |
gforget |
1.30 |
C kSurface :: vertical index of surface layer |
| 92 |
jmc |
1.1 |
INTEGER i, j |
| 93 |
gforget |
1.30 |
INTEGER kSurface |
| 94 |
jmc |
1.1 |
INTEGER ITER |
| 95 |
gforget |
1.30 |
C tempFrz :: ocean temperature in contact with ice (=seawater freezing point) (K) |
| 96 |
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_RL tempFrz (1:sNx,1:sNy) |
| 97 |
mlosch |
1.18 |
_RL D1, D1I |
| 98 |
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_RL D3(1:sNx,1:sNy) |
| 99 |
mlosch |
1.31 |
_RL TMELT, XKI, XKS, HCUT, recip_HCUT, XIO |
| 100 |
jmc |
1.27 |
C SurfMeltTemp :: Temp (K) above which wet-albedo values are used |
| 101 |
mlosch |
1.5 |
_RL SurfMeltTemp |
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jmc |
1.21 |
C effConduct :: effective conductivity of combined ice and snow |
| 103 |
mlosch |
1.5 |
_RL effConduct(1:sNx,1:sNy) |
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jmc |
1.21 |
C lhSublim :: latent heat of sublimation (SEAICE_lhEvap + SEAICE_lhFusion) |
| 105 |
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_RL lhSublim |
| 106 |
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C t1,t2,t3,t4 :: powers of temperature |
| 107 |
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_RL t1, t2, t3, t4 |
| 108 |
jmc |
1.1 |
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| 109 |
jmc |
1.24 |
C- Constants to calculate Saturation Vapor Pressure |
| 110 |
jmc |
1.26 |
C Maykut Polynomial Coeff. for Sat. Vapor Press |
| 111 |
jmc |
1.21 |
_RL C1, C2, C3, C4, C5, QS1 |
| 112 |
jmc |
1.24 |
C Extended temp-range expon. relation Coeff. for Sat. Vapor Press |
| 113 |
jmc |
1.21 |
_RL lnTEN |
| 114 |
jmc |
1.1 |
_RL aa1,aa2,bb1,bb2,Ppascals,cc0,cc1,cc2,cc3t |
| 115 |
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C specific humidity at ice surface variables |
| 116 |
jmc |
1.21 |
_RL mm_pi,mm_log10pi |
| 117 |
jmc |
1.1 |
|
| 118 |
jmc |
1.22 |
C F_c :: conductive heat flux through seaice+snow (+=upward) |
| 119 |
jmc |
1.26 |
C F_lwu :: upward long-wave surface heat flux (+=upward) |
| 120 |
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C F_sens :: sensible surface heat flux (+=upward) |
| 121 |
jmc |
1.21 |
C F_lh :: latent heat flux (sublimation) (+=upward) |
| 122 |
jmc |
1.24 |
C qhice :: saturation vapor pressure of snow/ice surface |
| 123 |
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C dqh_dTs :: derivative of qhice w.r.t snow/ice surf. temp |
| 124 |
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C dFia_dTs :: derivative of surf heat flux (F_ia) w.r.t surf. temp |
| 125 |
jmc |
1.26 |
_RL F_c (1:sNx,1:sNy) |
| 126 |
jmc |
1.21 |
_RL F_lwu (1:sNx,1:sNy) |
| 127 |
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_RL F_sens (1:sNx,1:sNy) |
| 128 |
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_RL F_lh (1:sNx,1:sNy) |
| 129 |
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_RL qhice (1:sNx,1:sNy) |
| 130 |
jmc |
1.24 |
_RL dqh_dTs (1:sNx,1:sNy) |
| 131 |
jmc |
1.26 |
_RL dFia_dTs (1:sNx,1:sNy) |
| 132 |
jmc |
1.21 |
_RL absorbedSW (1:sNx,1:sNy) |
| 133 |
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_RL penetSWFrac |
| 134 |
jmc |
1.25 |
_RL delTsurf |
| 135 |
jmc |
1.21 |
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| 136 |
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C local copies of global variables |
| 137 |
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_RL tsurfLoc (1:sNx,1:sNy) |
| 138 |
jmc |
1.25 |
_RL tsurfPrev (1:sNx,1:sNy) |
| 139 |
jmc |
1.21 |
_RL atempLoc (1:sNx,1:sNy) |
| 140 |
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_RL lwdownLoc (1:sNx,1:sNy) |
| 141 |
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_RL ALB (1:sNx,1:sNy) |
| 142 |
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_RL ALB_ICE (1:sNx,1:sNy) |
| 143 |
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_RL ALB_SNOW (1:sNx,1:sNy) |
| 144 |
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C iceOrNot :: this is HICE_ACTUAL.GT.0. |
| 145 |
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LOGICAL iceOrNot(1:sNx,1:sNy) |
| 146 |
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#ifdef SEAICE_DEBUG |
| 147 |
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C F_io_net :: upward conductive heat flux through seaice+snow |
| 148 |
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C F_ia_net :: net heat flux divergence at the sea ice/snow surface: |
| 149 |
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C includes ice conductive fluxes and atmospheric fluxes (W/m^2) |
| 150 |
jmc |
1.25 |
_RL F_io_net |
| 151 |
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_RL F_ia_net |
| 152 |
jmc |
1.21 |
#endif /* SEAICE_DEBUG */ |
| 153 |
ifenty |
1.14 |
|
| 154 |
jmc |
1.21 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 155 |
jmc |
1.1 |
|
| 156 |
mlosch |
1.8 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 157 |
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CADJ INIT comlev1_solve4temp = COMMON, sNx*sNy*NMAX_TICE |
| 158 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
| 159 |
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| 160 |
jmc |
1.24 |
C- MAYKUT CONSTANTS FOR SAT. VAP. PRESSURE TEMP. POLYNOMIAL |
| 161 |
mlosch |
1.5 |
C1= 2.7798202 _d -06 |
| 162 |
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C2= -2.6913393 _d -03 |
| 163 |
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C3= 0.97920849 _d +00 |
| 164 |
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C4= -158.63779 _d +00 |
| 165 |
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C5= 9653.1925 _d +00 |
| 166 |
jmc |
1.1 |
QS1=0.622 _d +00/1013.0 _d +00 |
| 167 |
jmc |
1.24 |
C- Extended temp-range expon. relation Coeff. for Sat. Vapor Press |
| 168 |
jmc |
1.21 |
lnTEN = LOG(10.0 _d 0) |
| 169 |
jmc |
1.1 |
aa1 = 2663.5 _d 0 |
| 170 |
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aa2 = 12.537 _d 0 |
| 171 |
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bb1 = 0.622 _d 0 |
| 172 |
mlosch |
1.5 |
bb2 = 1.0 _d 0 - bb1 |
| 173 |
jmc |
1.1 |
Ppascals = 100000. _d 0 |
| 174 |
mlosch |
1.5 |
C cc0 = TEN ** aa2 |
| 175 |
jmc |
1.21 |
cc0 = EXP(aa2*lnTEN) |
| 176 |
mlosch |
1.5 |
cc1 = cc0*aa1*bb1*Ppascals*lnTEN |
| 177 |
jmc |
1.1 |
cc2 = cc0*bb2 |
| 178 |
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| 179 |
gforget |
1.30 |
IF ( buoyancyRelation .EQ. 'OCEANICP' ) THEN |
| 180 |
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kSurface = Nr |
| 181 |
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ELSE |
| 182 |
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kSurface = 1 |
| 183 |
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ENDIF |
| 184 |
jmc |
1.1 |
|
| 185 |
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C SENSIBLE HEAT CONSTANT |
| 186 |
mlosch |
1.7 |
D1=SEAICE_dalton*SEAICE_cpAir*SEAICE_rhoAir |
| 187 |
jmc |
1.1 |
|
| 188 |
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C ICE LATENT HEAT CONSTANT |
| 189 |
ifenty |
1.14 |
lhSublim = SEAICE_lhEvap + SEAICE_lhFusion |
| 190 |
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D1I=SEAICE_dalton*lhSublim*SEAICE_rhoAir |
| 191 |
jmc |
1.1 |
|
| 192 |
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C MELTING TEMPERATURE OF ICE |
| 193 |
mlosch |
1.5 |
TMELT = celsius2K |
| 194 |
jmc |
1.1 |
|
| 195 |
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C ICE CONDUCTIVITY |
| 196 |
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XKI=SEAICE_iceConduct |
| 197 |
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| 198 |
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C SNOW CONDUCTIVITY |
| 199 |
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XKS=SEAICE_snowConduct |
| 200 |
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| 201 |
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C CUTOFF SNOW THICKNESS |
| 202 |
jmc |
1.21 |
C Snow-Thickness above HCUT: SW optically thick snow (=> snow-albedo). |
| 203 |
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C Snow-Thickness below HCUT: linear transition to ice-albedo |
| 204 |
jmc |
1.24 |
HCUT = SEAICE_snowThick |
| 205 |
jmc |
1.32 |
recip_HCUT = 0. _d 0 |
| 206 |
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IF ( HCUT.GT.0. _d 0 ) recip_HCUT = 1. _d 0 / HCUT |
| 207 |
jmc |
1.24 |
|
| 208 |
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C PENETRATION SHORTWAVE RADIATION FACTOR |
| 209 |
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XIO=SEAICE_shortwave |
| 210 |
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| 211 |
jmc |
1.27 |
C Temperature Threshold for wet-albedo: |
| 212 |
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SurfMeltTemp = TMELT + SEAICE_wetAlbTemp |
| 213 |
jmc |
1.24 |
C old SOLVE4TEMP_LEGACY setting, consistent with former celsius2K value: |
| 214 |
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c TMELT = 273.16 _d +00 |
| 215 |
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c SurfMeltTemp = 273.159 _d +00 |
| 216 |
jmc |
1.1 |
|
| 217 |
jmc |
1.3 |
C Initialize variables |
| 218 |
jmc |
1.1 |
DO J=1,sNy |
| 219 |
mlosch |
1.5 |
DO I=1,sNx |
| 220 |
jmc |
1.35 |
C initialise output arrays: |
| 221 |
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TSURFout (I,J) = TSURFin(I,J) |
| 222 |
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F_ia (I,J) = 0. _d 0 |
| 223 |
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IcePenetSW(I,J)= 0. _d 0 |
| 224 |
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FWsublim (I,J) = 0. _d 0 |
| 225 |
mlosch |
1.5 |
C HICE_ACTUAL is modified in this routine, but at the same time |
| 226 |
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C used to decided where there is ice, therefore we save this information |
| 227 |
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C here in a separate array |
| 228 |
jmc |
1.21 |
iceOrNot (I,J) = HICE_ACTUAL(I,J) .GT. 0. _d 0 |
| 229 |
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absorbedSW(I,J) = 0. _d 0 |
| 230 |
mlosch |
1.5 |
qhice (I,J) = 0. _d 0 |
| 231 |
jmc |
1.24 |
dqh_dTs (I,J) = 0. _d 0 |
| 232 |
mlosch |
1.10 |
F_lh (I,J) = 0. _d 0 |
| 233 |
mlosch |
1.5 |
F_lwu (I,J) = 0. _d 0 |
| 234 |
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F_sens (I,J) = 0. _d 0 |
| 235 |
jmc |
1.26 |
C Make a local copy of LW, surface & atmospheric temperatures |
| 236 |
gforget |
1.34 |
tsurfLoc (I,J) = TSURFin(I,J) |
| 237 |
|
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c tsurfLoc (I,J) = MIN( celsius2K+MAX_TICE, TSURFin(I,J) ) |
| 238 |
jmc |
1.26 |
lwdownLoc(I,J) = MAX( MIN_LWDOWN, LWDOWN(I,J,bi,bj) ) |
| 239 |
jmc |
1.24 |
atempLoc (I,J) = MAX( celsius2K+MIN_ATEMP, ATEMP(I,J,bi,bj) ) |
| 240 |
jmc |
1.1 |
|
| 241 |
gforget |
1.30 |
c FREEZING TEMP. OF SEA WATER (K) |
| 242 |
|
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tempFrz(I,J) = SEAICE_dTempFrz_dS *salt(I,J,kSurface,bi,bj) |
| 243 |
|
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& + SEAICE_tempFrz0 + celsius2K |
| 244 |
jmc |
1.32 |
|
| 245 |
jmc |
1.26 |
C Now determine fixed (relative to tsurf) forcing term in heat budget |
| 246 |
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| 247 |
mlosch |
1.18 |
IF(HSNOW_ACTUAL(I,J).GT.0.0) THEN |
| 248 |
jmc |
1.21 |
C Stefan-Boltzmann constant times emissivity |
| 249 |
mlosch |
1.18 |
D3(I,J)=SEAICE_snow_emiss*SEAICE_boltzmann |
| 250 |
|
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#ifdef EXF_LWDOWN_WITH_EMISSIVITY |
| 251 |
|
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C This is now [(1-emiss)*lwdown - lwdown] |
| 252 |
jmc |
1.26 |
lwdownLoc(I,J) = SEAICE_snow_emiss*lwdownLoc(I,J) |
| 253 |
mlosch |
1.18 |
#else /* use the old hard wired inconsistent value */ |
| 254 |
jmc |
1.26 |
lwdownLoc(I,J) = 0.97 _d 0*lwdownLoc(I,J) |
| 255 |
mlosch |
1.18 |
#endif /* EXF_LWDOWN_WITH_EMISSIVITY */ |
| 256 |
|
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ELSE |
| 257 |
jmc |
1.21 |
C Stefan-Boltzmann constant times emissivity |
| 258 |
mlosch |
1.18 |
D3(I,J)=SEAICE_ice_emiss*SEAICE_boltzmann |
| 259 |
|
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#ifdef EXF_LWDOWN_WITH_EMISSIVITY |
| 260 |
|
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C This is now [(1-emiss)*lwdown - lwdown] |
| 261 |
jmc |
1.26 |
lwdownLoc(I,J) = SEAICE_ice_emiss*lwdownLoc(I,J) |
| 262 |
mlosch |
1.18 |
#else /* use the old hard wired inconsistent value */ |
| 263 |
jmc |
1.26 |
lwdownLoc(I,J) = 0.97 _d 0*lwdownLoc(I,J) |
| 264 |
mlosch |
1.18 |
#endif /* EXF_LWDOWN_WITH_EMISSIVITY */ |
| 265 |
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ENDIF |
| 266 |
mlosch |
1.5 |
ENDDO |
| 267 |
jmc |
1.1 |
ENDDO |
| 268 |
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| 269 |
|
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DO J=1,sNy |
| 270 |
mlosch |
1.5 |
DO I=1,sNx |
| 271 |
jmc |
1.1 |
|
| 272 |
|
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C DECIDE ON ALBEDO |
| 273 |
mlosch |
1.5 |
IF ( iceOrNot(I,J) ) THEN |
| 274 |
jmc |
1.6 |
|
| 275 |
mlosch |
1.5 |
IF ( YC(I,J,bi,bj) .LT. 0.0 _d 0 ) THEN |
| 276 |
|
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IF (tsurfLoc(I,J) .GE. SurfMeltTemp) THEN |
| 277 |
|
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ALB_ICE (I,J) = SEAICE_wetIceAlb_south |
| 278 |
|
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ALB_SNOW(I,J) = SEAICE_wetSnowAlb_south |
| 279 |
|
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ELSE ! no surface melting |
| 280 |
|
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ALB_ICE (I,J) = SEAICE_dryIceAlb_south |
| 281 |
|
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ALB_SNOW(I,J) = SEAICE_drySnowAlb_south |
| 282 |
|
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ENDIF |
| 283 |
|
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ELSE !/ Northern Hemisphere |
| 284 |
|
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IF (tsurfLoc(I,J) .GE. SurfMeltTemp) THEN |
| 285 |
|
|
ALB_ICE (I,J) = SEAICE_wetIceAlb |
| 286 |
|
|
ALB_SNOW(I,J) = SEAICE_wetSnowAlb |
| 287 |
|
|
ELSE ! no surface melting |
| 288 |
|
|
ALB_ICE (I,J) = SEAICE_dryIceAlb |
| 289 |
|
|
ALB_SNOW(I,J) = SEAICE_drySnowAlb |
| 290 |
|
|
ENDIF |
| 291 |
|
|
ENDIF !/ Albedo for snow and ice |
| 292 |
|
|
|
| 293 |
jmc |
1.21 |
C If actual snow thickness exceeds the cutoff thickness, use snow albedo |
| 294 |
mlosch |
1.5 |
IF (HSNOW_ACTUAL(I,J) .GT. HCUT) THEN |
| 295 |
|
|
ALB(I,J) = ALB_SNOW(I,J) |
| 296 |
jmc |
1.21 |
ELSEIF ( HCUT.LE.ZERO ) THEN |
| 297 |
|
|
ALB(I,J) = ALB_ICE(I,J) |
| 298 |
mlosch |
1.5 |
ELSE |
| 299 |
jmc |
1.21 |
C otherwise, use linear transition between ice and snow albedo |
| 300 |
mlosch |
1.31 |
ALB(I,J) = MIN( ALB_ICE(I,J) + HSNOW_ACTUAL(I,J)*recip_HCUT |
| 301 |
jmc |
1.21 |
& *(ALB_SNOW(I,J) -ALB_ICE(I,J)) |
| 302 |
|
|
& , ALB_SNOW(I,J) ) |
| 303 |
mlosch |
1.5 |
ENDIF |
| 304 |
|
|
|
| 305 |
jmc |
1.21 |
C Determine the fraction of shortwave radiative flux remaining |
| 306 |
|
|
C at ocean interface after scattering through the snow and ice. |
| 307 |
|
|
C If snow is present, no radiation penetrates through snow+ice |
| 308 |
mlosch |
1.5 |
IF (HSNOW_ACTUAL(I,J) .GT. 0.0 _d 0) THEN |
| 309 |
jmc |
1.21 |
penetSWFrac = 0.0 _d 0 |
| 310 |
mlosch |
1.5 |
ELSE |
| 311 |
jmc |
1.21 |
penetSWFrac = XIO*EXP(-1.5 _d 0 * HICE_ACTUAL(I,J)) |
| 312 |
mlosch |
1.5 |
ENDIF |
| 313 |
jmc |
1.21 |
C The shortwave radiative flux leaving ocean beneath ice (+=up). |
| 314 |
|
|
IcePenetSW(I,J) = -(1.0 _d 0 - ALB(I,J)) |
| 315 |
|
|
& *penetSWFrac * SWDOWN(I,J,bi,bj) |
| 316 |
|
|
C The shortwave radiative flux convergence in the seaice. |
| 317 |
|
|
absorbedSW(I,J) = (1.0 _d 0 - ALB(I,J)) |
| 318 |
|
|
& *(1.0 _d 0 - penetSWFrac)* SWDOWN(I,J,bi,bj) |
| 319 |
jmc |
1.1 |
|
| 320 |
jmc |
1.24 |
C The effective conductivity of the two-layer snow/ice system. |
| 321 |
jmc |
1.26 |
C Set a minimum sea ice thickness of 5 cm to bound |
| 322 |
jmc |
1.21 |
C the magnitude of conductive heat fluxes. |
| 323 |
|
|
Cif * now taken care of by SEAICE_hice_reg in seaice_growth |
| 324 |
|
|
c hice_tmp = max(HICE_ACTUAL(I,J),5. _d -2) |
| 325 |
mlosch |
1.5 |
effConduct(I,J) = XKI * XKS / |
| 326 |
jmc |
1.21 |
& (XKS * HICE_ACTUAL(I,J) + XKI * HSNOW_ACTUAL(I,J)) |
| 327 |
jmc |
1.1 |
|
| 328 |
|
|
#ifdef SEAICE_DEBUG |
| 329 |
jmc |
1.21 |
IF ( (I .EQ. SEAICE_debugPointI) .AND. |
| 330 |
ifenty |
1.16 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
| 331 |
mlosch |
1.5 |
print '(A,i6)','-----------------------------------' |
| 332 |
|
|
print '(A,i6)','ibi merged initialization ', myIter |
| 333 |
|
|
print '(A,i6,4(1x,D24.15))', |
| 334 |
|
|
& 'ibi iter, TSL, TS ',myIter, |
| 335 |
gforget |
1.34 |
& tsurfLoc(I,J), TSURFin(I,J) |
| 336 |
mlosch |
1.5 |
print '(A,i6,4(1x,D24.15))', |
| 337 |
|
|
& 'ibi iter, TMELT ',myIter,TMELT |
| 338 |
|
|
print '(A,i6,4(1x,D24.15))', |
| 339 |
|
|
& 'ibi iter, HIA, EFKCON ',myIter, |
| 340 |
|
|
& HICE_ACTUAL(I,J), effConduct(I,J) |
| 341 |
|
|
print '(A,i6,4(1x,D24.15))', |
| 342 |
|
|
& 'ibi iter, HSNOW ',myIter, |
| 343 |
|
|
& HSNOW_ACTUAL(I,J), ALB(I,J) |
| 344 |
|
|
print '(A,i6)','-----------------------------------' |
| 345 |
|
|
print '(A,i6)','ibi energy balance iterat ', myIter |
| 346 |
|
|
ENDIF |
| 347 |
jmc |
1.2 |
#endif /* SEAICE_DEBUG */ |
| 348 |
jmc |
1.6 |
|
| 349 |
mlosch |
1.5 |
ENDIF !/* iceOrNot */ |
| 350 |
|
|
ENDDO !/* i */ |
| 351 |
|
|
ENDDO !/* j */ |
| 352 |
jmc |
1.21 |
|
| 353 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 354 |
mlosch |
1.5 |
DO ITER=1,IMAX_TICE |
| 355 |
|
|
DO J=1,sNy |
| 356 |
|
|
DO I=1,sNx |
| 357 |
mlosch |
1.8 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 358 |
|
|
iicekey = I + sNx*(J-1) + (ITER-1)*sNx*sNy |
| 359 |
jmc |
1.26 |
CADJ STORE tsurfLoc(i,j) = comlev1_solve4temp, |
| 360 |
mlosch |
1.8 |
CADJ & key = iicekey, byte = isbyte |
| 361 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 362 |
|
|
|
| 363 |
jmc |
1.25 |
C- save tsurf from previous iter |
| 364 |
|
|
tsurfPrev(I,J) = tsurfLoc(I,J) |
| 365 |
mlosch |
1.5 |
IF ( iceOrNot(I,J) ) THEN |
| 366 |
jmc |
1.1 |
|
| 367 |
mlosch |
1.5 |
t1 = tsurfLoc(I,J) |
| 368 |
|
|
t2 = t1*t1 |
| 369 |
|
|
t3 = t2*t1 |
| 370 |
|
|
t4 = t2*t2 |
| 371 |
jmc |
1.1 |
|
| 372 |
jmc |
1.24 |
C-- Calculate the specific humidity in the BL above the snow/ice |
| 373 |
jmc |
1.25 |
IF ( useMaykutSatVapPoly ) THEN |
| 374 |
jmc |
1.24 |
C- Use the Maykut polynomial |
| 375 |
jmc |
1.25 |
qhice(I,J)=QS1*(C1*t4+C2*t3 +C3*t2+C4*t1+C5) |
| 376 |
|
|
dqh_dTs(I,J) = 0. _d 0 |
| 377 |
|
|
ELSE |
| 378 |
jmc |
1.24 |
C- Use exponential relation approx., more accurate at low temperatures |
| 379 |
mlosch |
1.5 |
C log 10 of the sat vap pressure |
| 380 |
jmc |
1.25 |
mm_log10pi = -aa1 / t1 + aa2 |
| 381 |
mlosch |
1.5 |
C The saturation vapor pressure (SVP) in the surface |
| 382 |
|
|
C boundary layer (BL) above the snow/ice. |
| 383 |
jmc |
1.25 |
c mm_pi = TEN **(mm_log10pi) |
| 384 |
jmc |
1.6 |
C The following form does the same, but is faster |
| 385 |
jmc |
1.25 |
mm_pi = EXP(mm_log10pi*lnTEN) |
| 386 |
|
|
qhice(I,J) = bb1*mm_pi/( Ppascals -(1.0 _d 0 - bb1)*mm_pi ) |
| 387 |
jmc |
1.21 |
C A constant for SVP derivative w.r.t TICE |
| 388 |
jmc |
1.25 |
c cc3t = TEN **(aa1 / t1) |
| 389 |
jmc |
1.21 |
C The following form does the same, but is faster |
| 390 |
jmc |
1.25 |
cc3t = EXP(aa1 / t1 * lnTEN) |
| 391 |
jmc |
1.21 |
C d(qh)/d(TICE) |
| 392 |
jmc |
1.25 |
dqh_dTs(I,J) = cc1*cc3t/((cc2-cc3t*Ppascals)**2 *t2) |
| 393 |
|
|
ENDIF |
| 394 |
jmc |
1.1 |
|
| 395 |
heimbach |
1.33 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 396 |
|
|
CADJ STORE tsurfLoc(i,j) = comlev1_solve4temp, |
| 397 |
|
|
CADJ & key = iicekey, byte = isbyte |
| 398 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 399 |
mlosch |
1.10 |
C Calculate the flux terms based on the updated tsurfLoc |
| 400 |
gforget |
1.30 |
F_c(I,J) = effConduct(I,J)*(tempFrz(I,J)-tsurfLoc(I,J)) |
| 401 |
mlosch |
1.10 |
F_lh(I,J) = D1I*UG(I,J)*(qhice(I,J)-AQH(I,J,bi,bj)) |
| 402 |
gforget |
1.30 |
#ifdef SEAICE_CAP_SUBLIM |
| 403 |
jmc |
1.21 |
C if the latent heat flux implied by tsurfLoc exceeds |
| 404 |
mlosch |
1.36 |
C F_lh_max, cap F_lh and decouple the flux magnitude from tIce (tsurfLoc) |
| 405 |
jmc |
1.21 |
IF (F_lh(I,J) .GT. F_lh_max(I,J)) THEN |
| 406 |
ifenty |
1.16 |
F_lh(I,J) = F_lh_max(I,J) |
| 407 |
jmc |
1.24 |
dqh_dTs(I,J) = ZERO |
| 408 |
jmc |
1.21 |
ENDIF |
| 409 |
gforget |
1.30 |
#endif /* SEAICE_CAP_SUBLIM */ |
| 410 |
ifenty |
1.16 |
|
| 411 |
jmc |
1.21 |
F_lwu(I,J) = t4 * D3(I,J) |
| 412 |
mlosch |
1.5 |
F_sens(I,J)= D1 * UG(I,J) * (t1 - atempLoc(I,J)) |
| 413 |
jmc |
1.21 |
F_ia(I,J) = -lwdownLoc(I,J) -absorbedSW(I,J) + F_lwu(I,J) |
| 414 |
jmc |
1.24 |
& + F_sens(I,J) + F_lh(I,J) |
| 415 |
jmc |
1.26 |
C d(F_ia)/d(Tsurf) |
| 416 |
|
|
dFia_dTs(I,J) = 4.0 _d 0*D3(I,J)*t3 + D1*UG(I,J) |
| 417 |
|
|
& + D1I*UG(I,J)*dqh_dTs(I,J) |
| 418 |
jmc |
1.1 |
|
| 419 |
|
|
#ifdef SEAICE_DEBUG |
| 420 |
jmc |
1.21 |
IF ( (I .EQ. SEAICE_debugPointI) .AND. |
| 421 |
ifenty |
1.16 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
| 422 |
mlosch |
1.5 |
print '(A,i6,4(1x,D24.15))', |
| 423 |
|
|
& 'ice-iter qhICE, ', ITER,qhIce(I,J) |
| 424 |
|
|
print '(A,i6,4(1x,D24.15))', |
| 425 |
jmc |
1.24 |
& 'ice-iter dFiDTs1 F_ia ', ITER, |
| 426 |
|
|
& dFia_dTs(I,J)+effConduct(I,J), F_ia(I,J)-F_c(I,J) |
| 427 |
mlosch |
1.5 |
ENDIF |
| 428 |
jmc |
1.2 |
#endif /* SEAICE_DEBUG */ |
| 429 |
jmc |
1.1 |
|
| 430 |
jmc |
1.26 |
C- Update tsurf as solution of : Fc = Fia + d/dT(Fia - Fc) *delta.tsurf |
| 431 |
jmc |
1.24 |
tsurfLoc(I,J) = tsurfLoc(I,J) |
| 432 |
|
|
& + ( F_c(I,J)-F_ia(I,J) ) / ( effConduct(I,J)+dFia_dTs(I,J) ) |
| 433 |
jmc |
1.1 |
|
| 434 |
heimbach |
1.33 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 435 |
|
|
CADJ STORE tsurfLoc(i,j) = comlev1_solve4temp, |
| 436 |
|
|
CADJ & key = iicekey, byte = isbyte |
| 437 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 438 |
jmc |
1.26 |
IF ( useMaykutSatVapPoly ) THEN |
| 439 |
|
|
tsurfLoc(I,J) = MAX( celsius2K+MIN_TICE, tsurfLoc(I,J) ) |
| 440 |
|
|
ENDIF |
| 441 |
jmc |
1.21 |
C If the search leads to tsurfLoc < 50 Kelvin, restart the search |
| 442 |
|
|
C at tsurfLoc = TMELT. Note that one solution to the energy balance problem |
| 443 |
|
|
C is an extremely low temperature - a temperature far below realistic values. |
| 444 |
jmc |
1.26 |
c IF (tsurfLoc(I,J) .LT. 50.0 _d 0 ) tsurfLoc(I,J) = TMELT |
| 445 |
|
|
C Comments & code above not relevant anymore (from older version, when |
| 446 |
|
|
C trying Maykut-Polynomial & dqh_dTs > 0 ?): commented out |
| 447 |
jmc |
1.21 |
tsurfLoc(I,J) = MIN( tsurfLoc(I,J), TMELT ) |
| 448 |
jmc |
1.1 |
|
| 449 |
|
|
#ifdef SEAICE_DEBUG |
| 450 |
jmc |
1.21 |
IF ( (I .EQ. SEAICE_debugPointI) .AND. |
| 451 |
ifenty |
1.16 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
| 452 |
mlosch |
1.5 |
print '(A,i6,4(1x,D24.15))', |
| 453 |
|
|
& 'ice-iter tsurfLc,|dif|', ITER, |
| 454 |
|
|
& tsurfLoc(I,J), |
| 455 |
jmc |
1.21 |
& LOG10(ABS(tsurfLoc(I,J) - t1)) |
| 456 |
mlosch |
1.5 |
ENDIF |
| 457 |
jmc |
1.2 |
#endif /* SEAICE_DEBUG */ |
| 458 |
jmc |
1.1 |
|
| 459 |
mlosch |
1.5 |
ENDIF !/* iceOrNot */ |
| 460 |
|
|
ENDDO !/* i */ |
| 461 |
|
|
ENDDO !/* j */ |
| 462 |
|
|
ENDDO !/* Iterations */ |
| 463 |
jmc |
1.21 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 464 |
|
|
|
| 465 |
mlosch |
1.5 |
DO J=1,sNy |
| 466 |
|
|
DO I=1,sNx |
| 467 |
|
|
IF ( iceOrNot(I,J) ) THEN |
| 468 |
jmc |
1.1 |
|
| 469 |
jmc |
1.21 |
C Save updated tsurf and finalize the flux terms |
| 470 |
gforget |
1.34 |
TSURFout(I,J) = tsurfLoc(I,J) |
| 471 |
jmc |
1.21 |
|
| 472 |
jmc |
1.25 |
#ifdef SEAICE_MODIFY_GROWTH_ADJ |
| 473 |
|
|
Cgf no additional dependency through solver, snow, etc. |
| 474 |
|
|
IF ( SEAICEadjMODE.GE.2 ) THEN |
| 475 |
gforget |
1.34 |
CALL ZERO_ADJ_1D( 1, TSURFin(I,J), myThid) |
| 476 |
jmc |
1.26 |
absorbedSW(I,J) = 0.3 _d 0 *SWDOWN(I,J,bi,bj) |
| 477 |
|
|
IcePenetSW(I,J)= 0. _d 0 |
| 478 |
|
|
ENDIF |
| 479 |
|
|
IF ( postSolvTempIter.EQ.2 .OR. SEAICEadjMODE.GE.2 ) THEN |
| 480 |
gforget |
1.34 |
t1 = TSURFin(I,J) |
| 481 |
jmc |
1.25 |
#else /* SEAICE_MODIFY_GROWTH_ADJ */ |
| 482 |
|
|
|
| 483 |
|
|
IF ( postSolvTempIter.EQ.2 ) THEN |
| 484 |
mlosch |
1.5 |
C Recalculate the fluxes based on the (possibly) adjusted TSURF |
| 485 |
jmc |
1.25 |
t1 = tsurfLoc(I,J) |
| 486 |
jmc |
1.26 |
#endif /* SEAICE_MODIFY_GROWTH_ADJ */ |
| 487 |
jmc |
1.25 |
t2 = t1*t1 |
| 488 |
|
|
t3 = t2*t1 |
| 489 |
|
|
t4 = t2*t2 |
| 490 |
jmc |
1.1 |
|
| 491 |
jmc |
1.25 |
IF ( useMaykutSatVapPoly ) THEN |
| 492 |
|
|
qhice(I,J)=QS1*(C1*t4+C2*t3 +C3*t2+C4*t1+C5) |
| 493 |
|
|
ELSE |
| 494 |
mlosch |
1.5 |
C log 10 of the sat vap pressure |
| 495 |
jmc |
1.25 |
mm_log10pi = -aa1 / t1 + aa2 |
| 496 |
mlosch |
1.5 |
C saturation vapor pressure |
| 497 |
jmc |
1.25 |
c mm_pi = TEN **(mm_log10pi) |
| 498 |
jmc |
1.6 |
C The following form does the same, but is faster |
| 499 |
jmc |
1.25 |
mm_pi = EXP(mm_log10pi*lnTEN) |
| 500 |
jmc |
1.21 |
C over ice specific humidity |
| 501 |
jmc |
1.25 |
qhice(I,J) = bb1*mm_pi/( Ppascals -(1.0 _d 0 - bb1)*mm_pi ) |
| 502 |
|
|
ENDIF |
| 503 |
gforget |
1.30 |
F_c(I,J) = effConduct(I,J) * (tempFrz(I,J) - t1) |
| 504 |
jmc |
1.25 |
F_lh(I,J) = D1I * UG(I,J)*(qhice(I,J)-AQH(I,J,bi,bj)) |
| 505 |
gforget |
1.30 |
#ifdef SEAICE_CAP_SUBLIM |
| 506 |
jmc |
1.25 |
IF (F_lh(I,J) .GT. F_lh_max(I,J)) THEN |
| 507 |
ifenty |
1.16 |
F_lh(I,J) = F_lh_max(I,J) |
| 508 |
jmc |
1.25 |
ENDIF |
| 509 |
gforget |
1.30 |
#endif /* SEAICE_CAP_SUBLIM */ |
| 510 |
jmc |
1.25 |
F_lwu(I,J) = t4 * D3(I,J) |
| 511 |
|
|
F_sens(I,J) = D1 * UG(I,J) * (t1 - atempLoc(I,J)) |
| 512 |
jmc |
1.21 |
C The flux between the ice/snow surface and the atmosphere. |
| 513 |
jmc |
1.25 |
F_ia(I,J) = -lwdownLoc(I,J) -absorbedSW(I,J) + F_lwu(I,J) |
| 514 |
|
|
& + F_sens(I,J) + F_lh(I,J) |
| 515 |
jmc |
1.1 |
|
| 516 |
jmc |
1.25 |
ELSEIF ( postSolvTempIter.EQ.1 ) THEN |
| 517 |
|
|
C Update fluxes (consistent with the linearized formulation) |
| 518 |
|
|
delTsurf = tsurfLoc(I,J)-tsurfPrev(I,J) |
| 519 |
gforget |
1.30 |
F_c(I,J) = effConduct(I,J)*(tempFrz(I,J)-tsurfLoc(I,J)) |
| 520 |
jmc |
1.25 |
F_ia(I,J) = F_ia(I,J) + dFia_dTs(I,J)*delTsurf |
| 521 |
|
|
F_lh(I,J) = F_lh(I,J) |
| 522 |
|
|
& + D1I*UG(I,J)*dqh_dTs(I,J)*delTsurf |
| 523 |
jmc |
1.26 |
|
| 524 |
|
|
c ELSEIF ( postSolvTempIter.EQ.0 ) THEN |
| 525 |
jmc |
1.25 |
C Take fluxes from last iteration |
| 526 |
jmc |
1.26 |
|
| 527 |
jmc |
1.21 |
ENDIF |
| 528 |
|
|
|
| 529 |
|
|
C Fresh water flux (kg/m^2/s) from latent heat of sublimation. |
| 530 |
|
|
C F_lh is positive upward (sea ice looses heat) and FWsublim |
| 531 |
|
|
C is also positive upward (atmosphere gains freshwater) |
| 532 |
|
|
FWsublim(I,J) = F_lh(I,J)/lhSublim |
| 533 |
gforget |
1.9 |
|
| 534 |
jmc |
1.21 |
#ifdef SEAICE_DEBUG |
| 535 |
jmc |
1.26 |
C Calculate the net ice-ocean and ice-atmosphere fluxes |
| 536 |
jmc |
1.22 |
IF (F_c(I,J) .GT. 0.0 _d 0) THEN |
| 537 |
jmc |
1.25 |
F_io_net = F_c(I,J) |
| 538 |
|
|
F_ia_net = 0.0 _d 0 |
| 539 |
mlosch |
1.5 |
ELSE |
| 540 |
jmc |
1.25 |
F_io_net = 0.0 _d 0 |
| 541 |
|
|
F_ia_net = F_ia(I,J) |
| 542 |
mlosch |
1.5 |
ENDIF !/* conductive fluxes up or down */ |
| 543 |
jmc |
1.1 |
|
| 544 |
jmc |
1.21 |
IF ( (I .EQ. SEAICE_debugPointI) .AND. |
| 545 |
ifenty |
1.16 |
& (J .EQ. SEAICE_debugPointJ) ) THEN |
| 546 |
mlosch |
1.5 |
print '(A)','----------------------------------------' |
| 547 |
|
|
print '(A,i6)','ibi complete ', myIter |
| 548 |
|
|
print '(A,4(1x,D24.15))', |
| 549 |
|
|
& 'ibi T(SURF, surfLoc,atmos) ', |
| 550 |
gforget |
1.34 |
& TSURFout(I,J), tsurfLoc(I,J),atempLoc(I,J) |
| 551 |
mlosch |
1.5 |
print '(A,4(1x,D24.15))', |
| 552 |
|
|
& 'ibi LWL ', lwdownLoc(I,J) |
| 553 |
|
|
print '(A,4(1x,D24.15))', |
| 554 |
|
|
& 'ibi QSW(Total, Penetrating)', |
| 555 |
jmc |
1.21 |
& SWDOWN(I,J,bi,bj), IcePenetSW(I,J) |
| 556 |
mlosch |
1.5 |
print '(A,4(1x,D24.15))', |
| 557 |
|
|
& 'ibi qh(ATM ICE) ', |
| 558 |
|
|
& AQH(I,J,bi,bj),qhice(I,J) |
| 559 |
ifenty |
1.16 |
print '(A,4(1x,D24.15))', |
| 560 |
|
|
& 'ibi F(lwd,swi,lwu) ', |
| 561 |
jmc |
1.21 |
& -lwdownLoc(I,J), -absorbedSW(I,J), F_lwu(I,J) |
| 562 |
ifenty |
1.16 |
print '(A,4(1x,D24.15))', |
| 563 |
|
|
& 'ibi F(c,lh,sens) ', |
| 564 |
|
|
& F_c(I,J), F_lh(I,J), F_sens(I,J) |
| 565 |
gforget |
1.30 |
#ifdef SEAICE_CAP_SUBLIM |
| 566 |
ifenty |
1.16 |
IF (F_lh_max(I,J) .GT. ZERO) THEN |
| 567 |
|
|
print '(A,4(1x,D24.15))', |
| 568 |
|
|
& 'ibi F_lh_max, F_lh/lhmax) ', |
| 569 |
|
|
& F_lh_max(I,J), F_lh(I,J)/ F_lh_max(I,J) |
| 570 |
jmc |
1.19 |
ELSE |
| 571 |
ifenty |
1.16 |
print '(A,4(1x,D24.15))', |
| 572 |
|
|
& 'ibi F_lh_max = ZERO! ' |
| 573 |
|
|
ENDIF |
| 574 |
|
|
print '(A,4(1x,D24.15))', |
| 575 |
|
|
& 'ibi FWsub, FWsubm*dT/rhoI ', |
| 576 |
|
|
& FWsublim(I,J), |
| 577 |
|
|
& FWsublim(I,J)*SEAICE_deltaTtherm/SEAICE_rhoICE |
| 578 |
gforget |
1.30 |
#endif /* SEAICE_CAP_SUBLIM */ |
| 579 |
mlosch |
1.5 |
print '(A,4(1x,D24.15))', |
| 580 |
|
|
& 'ibi F_ia, F_ia_net, F_c ', |
| 581 |
jmc |
1.25 |
& F_ia(I,J), F_ia_net, F_c(I,J) |
| 582 |
mlosch |
1.5 |
print '(A)','----------------------------------------' |
| 583 |
|
|
ENDIF |
| 584 |
jmc |
1.2 |
#endif /* SEAICE_DEBUG */ |
| 585 |
jmc |
1.6 |
|
| 586 |
mlosch |
1.5 |
ENDIF !/* iceOrNot */ |
| 587 |
|
|
ENDDO !/* i */ |
| 588 |
jmc |
1.1 |
ENDDO !/* j */ |
| 589 |
|
|
|
| 590 |
jmc |
1.19 |
#endif /* ALLOW_ATM_TEMP && ALLOW_DOWNWARD_RADIATION */ |
| 591 |
|
|
RETURN |
| 592 |
jmc |
1.1 |
END |
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