| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/thsice/thsice_solve4temp.F,v 1.16 2007/04/29 23:48:44 jmc Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "THSICE_OPTIONS.h" |
| 5 |
|
| 6 |
CBOP |
| 7 |
C !ROUTINE: THSICE_SOLVE4TEMP |
| 8 |
C !INTERFACE: |
| 9 |
SUBROUTINE THSICE_SOLVE4TEMP( |
| 10 |
I bi, bj, siLo, siHi, sjLo, sjHi, |
| 11 |
I iMin,iMax, jMin,jMax, dBugFlag, |
| 12 |
I useBulkForce, useEXF, |
| 13 |
I iceMask, hIce, hSnow, tFrz, flxExSW, |
| 14 |
U flxSW, tSrf, qIc1, qIc2, |
| 15 |
O tIc1, tIc2, dTsrf, |
| 16 |
O sHeat, flxCnB, flxAtm, evpAtm, |
| 17 |
I myTime, myIter, myThid ) |
| 18 |
C !DESCRIPTION: \bv |
| 19 |
C *==========================================================* |
| 20 |
C | S/R THSICE_SOLVE4TEMP |
| 21 |
C *==========================================================* |
| 22 |
C | Solve (implicitly) for sea-ice and surface temperature |
| 23 |
C *==========================================================* |
| 24 |
C \ev |
| 25 |
|
| 26 |
C ADAPTED FROM: |
| 27 |
C LANL CICE.v2.0.2 |
| 28 |
C----------------------------------------------------------------------- |
| 29 |
C.. thermodynamics (vertical physics) based on M. Winton 3-layer model |
| 30 |
C.. See Bitz, C. M. and W. H. Lipscomb, 1999: "An energy-conserving |
| 31 |
C.. thermodynamic sea ice model for climate study." J. Geophys. |
| 32 |
C.. Res., 104, 15669 - 15677. |
| 33 |
C.. Winton, M., 1999: "A reformulated three-layer sea ice model." |
| 34 |
C.. Submitted to J. Atmos. Ocean. Technol. |
| 35 |
C.. authors Elizabeth C. Hunke and William Lipscomb |
| 36 |
C.. Fluid Dynamics Group, Los Alamos National Laboratory |
| 37 |
C----------------------------------------------------------------------- |
| 38 |
Cc****subroutine thermo_winton(n,fice,fsnow,dqice,dTsfc) |
| 39 |
C.. Compute temperature change using Winton model with 2 ice layers, of |
| 40 |
C.. which only the top layer has a variable heat capacity. |
| 41 |
|
| 42 |
C !USES: |
| 43 |
IMPLICIT NONE |
| 44 |
|
| 45 |
C == Global variables === |
| 46 |
#include "EEPARAMS.h" |
| 47 |
#include "THSICE_SIZE.h" |
| 48 |
#include "THSICE_PARAMS.h" |
| 49 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 50 |
# include "SIZE.h" |
| 51 |
# include "tamc.h" |
| 52 |
# include "tamc_keys.h" |
| 53 |
#endif |
| 54 |
|
| 55 |
C !INPUT/OUTPUT PARAMETERS: |
| 56 |
C == Routine Arguments == |
| 57 |
C siLo,siHi :: size of input/output array: 1rst dim. lower,higher bounds |
| 58 |
C sjLo,sjHi :: size of input/output array: 2nd dim. lower,higher bounds |
| 59 |
C bi,bj :: tile indices |
| 60 |
C iMin,iMax :: computation domain: 1rst index range |
| 61 |
C jMin,jMax :: computation domain: 2nd index range |
| 62 |
C dBugFlag :: allow to print debugging stuff (e.g. on 1 grid point). |
| 63 |
C useBulkForce:: use surf. fluxes from bulk-forcing external S/R |
| 64 |
C useEXF :: use surf. fluxes from exf external S/R |
| 65 |
C--- Input: |
| 66 |
C iceMask :: sea-ice fractional mask [0-1] |
| 67 |
C hIce (hi) :: ice height [m] |
| 68 |
C hSnow (hs) :: snow height [m] |
| 69 |
C tFrz (Tf) :: sea-water freezing temperature [oC] (function of S) |
| 70 |
C flxExSW (=) :: surf. heat flux (+=down) except SW, function of surf. temp Ts: |
| 71 |
C 0: Flx(Ts=0) ; 1: Flx(Ts=Ts^n) ; 2: d.Flx/dTs(Ts=Ts^n) |
| 72 |
C--- Modified (input&output): |
| 73 |
C flxSW (netSW) :: net Short-Wave flux (+=down) [W/m2]: input= at surface |
| 74 |
C (=) :: output= below sea-ice, into the ocean |
| 75 |
C tSrf (Tsf) :: surface (ice or snow) temperature |
| 76 |
C qIc1 (qicen) :: ice enthalpy (J/kg), 1rst level |
| 77 |
C qIc2 (qicen) :: ice enthalpy (J/kg), 2nd level |
| 78 |
C--- Output |
| 79 |
C tIc1 (Tice) :: temperature of ice layer 1 [oC] |
| 80 |
C tIc2 (Tice) :: temperature of ice layer 2 [oC] |
| 81 |
C dTsrf (dTsf) :: surf. temp adjusment: Ts^n+1 - Ts^n |
| 82 |
C sHeat(sHeating):: surf heating flux left to melt snow or ice (= Atmos-conduction) |
| 83 |
C flxCnB (=) :: heat flux conducted through the ice to bottom surface |
| 84 |
C flxAtm (=) :: net flux of energy from the atmosphere [W/m2] (+=down) |
| 85 |
C without snow precip. (energy=0 for liquid water at 0.oC) |
| 86 |
C evpAtm (=) :: evaporation to the atmosphere [kg/m2/s] (>0 if evaporate) |
| 87 |
C--- Input: |
| 88 |
C myTime :: current Time of simulation [s] |
| 89 |
C myIter :: current Iteration number in simulation |
| 90 |
C myThid :: my Thread Id number |
| 91 |
INTEGER siLo, siHi, sjLo, sjHi |
| 92 |
INTEGER bi,bj |
| 93 |
INTEGER iMin, iMax |
| 94 |
INTEGER jMin, jMax |
| 95 |
LOGICAL dBugFlag |
| 96 |
LOGICAL useBulkForce |
| 97 |
LOGICAL useEXF |
| 98 |
_RL iceMask(siLo:siHi,sjLo:sjHi) |
| 99 |
_RL hIce (siLo:siHi,sjLo:sjHi) |
| 100 |
_RL hSnow (siLo:siHi,sjLo:sjHi) |
| 101 |
_RL tFrz (siLo:siHi,sjLo:sjHi) |
| 102 |
_RL flxExSW(iMin:iMax,jMin:jMax,0:2) |
| 103 |
_RL flxSW (siLo:siHi,sjLo:sjHi) |
| 104 |
_RL tSrf (siLo:siHi,sjLo:sjHi) |
| 105 |
_RL qIc1 (siLo:siHi,sjLo:sjHi) |
| 106 |
_RL qIc2 (siLo:siHi,sjLo:sjHi) |
| 107 |
_RL tIc1 (siLo:siHi,sjLo:sjHi) |
| 108 |
_RL tIc2 (siLo:siHi,sjLo:sjHi) |
| 109 |
c _RL dTsrf (siLo:siHi,sjLo:sjHi) |
| 110 |
_RL dTsrf (iMin:iMax,jMin:jMax) |
| 111 |
_RL sHeat (siLo:siHi,sjLo:sjHi) |
| 112 |
_RL flxCnB (siLo:siHi,sjLo:sjHi) |
| 113 |
_RL flxAtm (siLo:siHi,sjLo:sjHi) |
| 114 |
_RL evpAtm (siLo:siHi,sjLo:sjHi) |
| 115 |
_RL myTime |
| 116 |
INTEGER myIter |
| 117 |
INTEGER myThid |
| 118 |
CEOP |
| 119 |
|
| 120 |
#ifdef ALLOW_THSICE |
| 121 |
C !LOCAL VARIABLES: |
| 122 |
C--- local copy of input/output argument list variables (see description above) |
| 123 |
c _RL flxExcSw(0:2) |
| 124 |
_RL Tf |
| 125 |
_RL hi |
| 126 |
_RL hs |
| 127 |
_RL netSW |
| 128 |
_RL Tsf |
| 129 |
_RL qicen(nlyr) |
| 130 |
_RL Tice (nlyr) |
| 131 |
c _RL sHeating |
| 132 |
c _RL flxCnB |
| 133 |
_RL dTsf |
| 134 |
c _RL flxAtm |
| 135 |
c _RL evpAtm |
| 136 |
|
| 137 |
C == Local Variables == |
| 138 |
INTEGER i,j |
| 139 |
INTEGER k, iterMax |
| 140 |
|
| 141 |
_RL frsnow ! fractional snow cover |
| 142 |
_RL fswpen ! SW penetrating beneath surface (W m-2) |
| 143 |
_RL fswdn ! SW absorbed at surface (W m-2) |
| 144 |
_RL fswint ! SW absorbed in ice (W m-2) |
| 145 |
_RL fswocn ! SW passed through ice to ocean (W m-2) |
| 146 |
_RL flxExceptSw ! net surface heat flux, except short-wave (W/m2) |
| 147 |
C evap :: evaporation over snow/ice [kg/m2/s] (>0 if evaporate) |
| 148 |
C dEvdT :: derivative of evap. with respect to Tsf [kg/m2/s/K] |
| 149 |
_RL evap, dEvdT |
| 150 |
_RL flx0 ! net surf heat flux, from Atmos. to sea-ice (W m-2) |
| 151 |
_RL fct ! heat conducted to top surface |
| 152 |
_RL df0dT ! deriv of flx0 wrt Tsf (W m-2 deg-1) |
| 153 |
_RL k12, k32 ! thermal conductivity terms |
| 154 |
_RL a10, b10 ! coefficients in quadratic eqn for T1 |
| 155 |
_RL a1, b1, c1 ! coefficients in quadratic eqn for T1 |
| 156 |
c _RL Tsf_start ! old value of Tsf |
| 157 |
_RL dt ! timestep |
| 158 |
_RL recip_dhSnowLin |
| 159 |
INTEGER iceornot |
| 160 |
LOGICAL useBlkFlx |
| 161 |
|
| 162 |
C- define grid-point location where to print debugging values |
| 163 |
#include "THSICE_DEBUG.h" |
| 164 |
|
| 165 |
1010 FORMAT(A,I3,3F11.6) |
| 166 |
1020 FORMAT(A,1P4E14.6) |
| 167 |
|
| 168 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 169 |
|
| 170 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 171 |
act1 = bi - myBxLo(myThid) |
| 172 |
max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
| 173 |
act2 = bj - myByLo(myThid) |
| 174 |
max2 = myByHi(myThid) - myByLo(myThid) + 1 |
| 175 |
act3 = myThid - 1 |
| 176 |
max3 = nTx*nTy |
| 177 |
act4 = ikey_dynamics - 1 |
| 178 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 179 |
|
| 180 |
useBlkFlx = useEXF .OR. useBulkForce |
| 181 |
IF ( dhSnowLin.GT.0. _d 0 ) THEN |
| 182 |
recip_dhSnowLin = 1. _d 0 / dhSnowLin |
| 183 |
ELSE |
| 184 |
recip_dhSnowLin = 0. _d 0 |
| 185 |
ENDIF |
| 186 |
|
| 187 |
dt = thSIce_dtTemp |
| 188 |
DO j = jMin, jMax |
| 189 |
DO i = iMin, iMax |
| 190 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 191 |
ikey_1 = i |
| 192 |
& + sNx*(j-1) |
| 193 |
& + sNx*sNy*act1 |
| 194 |
& + sNx*sNy*max1*act2 |
| 195 |
& + sNx*sNy*max1*max2*act3 |
| 196 |
& + sNx*sNy*max1*max2*max3*act4 |
| 197 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 198 |
C-- |
| 199 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 200 |
CADJ STORE devdt = comlev1_thsice_1, key=ikey_1 |
| 201 |
CADJ STORE df0dt = comlev1_thsice_1, key=ikey_1 |
| 202 |
CADJ STORE flxexceptsw = comlev1_thsice_1, key=ikey_1 |
| 203 |
CADJ STORE flxsw(i,j) = comlev1_thsice_1, key=ikey_1 |
| 204 |
CADJ STORE qic1(i,j) = comlev1_thsice_1, key=ikey_1 |
| 205 |
CADJ STORE qic2(i,j) = comlev1_thsice_1, key=ikey_1 |
| 206 |
CADJ STORE tsrf(i,j) = comlev1_thsice_1, key=ikey_1 |
| 207 |
#endif |
| 208 |
IF ( iceMask(i,j).GT.0. _d 0) THEN |
| 209 |
hi = hIce(i,j) |
| 210 |
hs = hSnow(i,j) |
| 211 |
Tf = tFrz(i,j) |
| 212 |
netSW = flxSW(i,j) |
| 213 |
Tsf = tSrf(i,j) |
| 214 |
qicen(1)= qIc1(i,j) |
| 215 |
qicen(2)= qIc2(i,j) |
| 216 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 217 |
#ifdef ALLOW_DBUG_THSICE |
| 218 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,'(A,2I4,2I2)') |
| 219 |
& 'ThSI_SOLVE4T: i,j=',i,j,bi,bj |
| 220 |
#endif |
| 221 |
IF ( hi.LT.hIceMin ) THEN |
| 222 |
C If hi < hIceMin, melt the ice. |
| 223 |
STOP 'THSICE_SOLVE4TEMP: should not enter if hi<hIceMin' |
| 224 |
ENDIF |
| 225 |
|
| 226 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 227 |
|
| 228 |
C fractional snow cover |
| 229 |
C assume a linear distribution of snow thickness, with dhSnowLin slope, |
| 230 |
C from hs-dhSnowLin to hs+dhSnowLin if full ice & snow cover. |
| 231 |
C frsnow = fraction of snow over the ice-covered part of the grid cell |
| 232 |
IF ( hs .GT. iceMask(i,j)*dhSnowLin ) THEN |
| 233 |
frsnow = 1. _d 0 |
| 234 |
ELSE |
| 235 |
frsnow = hs*recip_dhSnowLin/iceMask(i,j) |
| 236 |
IF ( frsnow.GT.0. _d 0 ) frsnow = SQRT(frsnow) |
| 237 |
ENDIF |
| 238 |
|
| 239 |
C Compute SW flux absorbed at surface and penetrating to layer 1. |
| 240 |
fswpen = netSW * (1. _d 0 - frsnow) * i0swFrac |
| 241 |
fswocn = fswpen * exp(-ksolar*hi) |
| 242 |
fswint = fswpen - fswocn |
| 243 |
|
| 244 |
fswdn = netSW - fswpen |
| 245 |
|
| 246 |
C Compute conductivity terms at layer interfaces. |
| 247 |
|
| 248 |
k12 = 4. _d 0*kIce*kSnow / (kSnow*hi + 4. _d 0*kIce*hs) |
| 249 |
k32 = 2. _d 0*kIce / hi |
| 250 |
|
| 251 |
C compute ice temperatures |
| 252 |
a1 = cpIce |
| 253 |
b1 = qicen(1) + (cpWater-cpIce )*Tmlt1 - Lfresh |
| 254 |
c1 = Lfresh * Tmlt1 |
| 255 |
Tice(1) = 0.5 _d 0 *(-b1 - SQRT(b1*b1-4. _d 0*a1*c1))/a1 |
| 256 |
Tice(2) = (Lfresh-qicen(2)) / cpIce |
| 257 |
|
| 258 |
IF (Tice(1).GT.0. _d 0 ) THEN |
| 259 |
WRITE (standardMessageUnit,'(A,I12,1PE14.6)') |
| 260 |
& ' BBerr: Tice(1) > 0 ; it=', myIter, qicen(1) |
| 261 |
WRITE (standardMessageUnit,'(A,4I5,2F11.4)') |
| 262 |
& ' BBerr: i,j,bi,bj,Tice = ',i,j,bi,bj,Tice |
| 263 |
ENDIF |
| 264 |
IF ( Tice(2).GT.0. _d 0) THEN |
| 265 |
WRITE (standardMessageUnit,'(A,I12,1PE14.6)') |
| 266 |
& ' BBerr: Tice(2) > 0 ; it=', myIter, qicen(2) |
| 267 |
WRITE (standardMessageUnit,'(A,4I5,2F11.4)') |
| 268 |
& ' BBerr: i,j,bi,bj,Tice = ',i,j,bi,bj,Tice |
| 269 |
ENDIF |
| 270 |
#ifdef ALLOW_DBUG_THSICE |
| 271 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,1010) |
| 272 |
& 'ThSI_SOLVE4T: k, Ts, Tice=',0,Tsf,Tice |
| 273 |
#endif |
| 274 |
|
| 275 |
C Compute coefficients used in quadratic formula. |
| 276 |
|
| 277 |
a10 = rhoi*cpIce *hi/(2. _d 0*dt) + |
| 278 |
& k32 * (4. _d 0*dt*k32 + rhoi*cpIce *hi) |
| 279 |
& / (6. _d 0*dt*k32 + rhoi*cpIce *hi) |
| 280 |
b10 = -hi* |
| 281 |
& (rhoi*cpIce*Tice(1)+rhoi*Lfresh*Tmlt1/Tice(1)) |
| 282 |
& /(2. _d 0*dt) |
| 283 |
& - k32 * (4. _d 0*dt*k32*Tf+rhoi*cpIce *hi*Tice(2)) |
| 284 |
& / (6. _d 0*dt*k32 + rhoi*cpIce *hi) - fswint |
| 285 |
c1 = rhoi*Lfresh*hi*Tmlt1 / (2. _d 0*dt) |
| 286 |
|
| 287 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 288 |
C Compute new surface and internal temperatures; iterate until |
| 289 |
C Tsfc converges. |
| 290 |
|
| 291 |
IF ( useBlkFlx ) THEN |
| 292 |
iterMax = nitMaxTsf |
| 293 |
ELSE |
| 294 |
iterMax = 1 |
| 295 |
ENDIF |
| 296 |
dTsf = Terrmax |
| 297 |
|
| 298 |
C ----- begin iteration ----- |
| 299 |
DO k = 1,iterMax |
| 300 |
|
| 301 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 302 |
ikey_3 = (ikey_1-1)*MaxTsf + k |
| 303 |
#endif |
| 304 |
|
| 305 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 306 |
CADJ STORE tsf = comlev1_thsice_3, key=ikey_3 |
| 307 |
CADJ STORE dtsf = comlev1_thsice_3, key=ikey_3 |
| 308 |
CADJ STORE df0dt = comlev1_thsice_3, key=ikey_3 |
| 309 |
CADJ STORE flxexceptsw = comlev1_thsice_3, key=ikey_3 |
| 310 |
#endif |
| 311 |
IF ( ABS(dTsf).GE.Terrmax ) THEN |
| 312 |
|
| 313 |
C Save temperatures at start of iteration. |
| 314 |
c Tsf_start = Tsf |
| 315 |
|
| 316 |
IF ( useBlkFlx ) THEN |
| 317 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 318 |
CADJ STORE tsf = comlev1_thsice_3, key=ikey_3 |
| 319 |
#endif |
| 320 |
C Compute top surface flux. |
| 321 |
IF (hs.GT.3. _d -1) THEN |
| 322 |
iceornot=2 |
| 323 |
ELSE |
| 324 |
iceornot=1 |
| 325 |
ENDIF |
| 326 |
IF ( useBulkForce ) THEN |
| 327 |
CALL THSICE_GET_BULKF( |
| 328 |
I iceornot, Tsf, |
| 329 |
O flxExceptSw, df0dT, evap, dEvdT, |
| 330 |
I i,j,bi,bj,myThid ) |
| 331 |
ELSEIF ( useEXF ) THEN |
| 332 |
CALL THSICE_GET_EXF ( |
| 333 |
I iceornot, Tsf, |
| 334 |
O flxExceptSw, df0dT, evap, dEvdT, |
| 335 |
I i,j,bi,bj,myThid ) |
| 336 |
ENDIF |
| 337 |
ELSE |
| 338 |
flxExceptSw = flxExSW(i,j,1) |
| 339 |
df0dT = flxExSW(i,j,2) |
| 340 |
ENDIF |
| 341 |
flx0 = fswdn + flxExceptSw |
| 342 |
#ifdef ALLOW_DBUG_THSICE |
| 343 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 344 |
& 'ThSI_SOLVE4T: flx0,df0dT,k12,D=', flx0,df0dT,k12,k12-df0dT |
| 345 |
#endif |
| 346 |
|
| 347 |
C Compute new top layer and surface temperatures. |
| 348 |
C If Tsfc is computed to be > 0 C, fix Tsfc = 0 and recompute T1 |
| 349 |
C with different coefficients. |
| 350 |
|
| 351 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 352 |
CADJ STORE tsf = comlev1_thsice_3, key=ikey_3 |
| 353 |
#endif |
| 354 |
a1 = a10 - k12*df0dT / (k12-df0dT) |
| 355 |
b1 = b10 - k12*(flx0-df0dT*Tsf) / (k12-df0dT) |
| 356 |
Tice(1) = -(b1 + SQRT(b1*b1-4. _d 0*a1*c1))/(2. _d 0*a1) |
| 357 |
dTsf = (flx0 + k12*(Tice(1)-Tsf)) / (k12-df0dT) |
| 358 |
Tsf = Tsf + dTsf |
| 359 |
IF (Tsf .GT. 0. _d 0) THEN |
| 360 |
#ifdef ALLOW_DBUG_THSICE |
| 361 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,1010) |
| 362 |
& 'ThSI_SOLVE4T: k,ts,t1,dTs=', k,Tsf,Tice(1),dTsf |
| 363 |
#endif |
| 364 |
a1 = a10 + k12 |
| 365 |
b1 = b10 ! note b1 = b10 - k12*Tf0 |
| 366 |
Tice(1) = (-b1 - SQRT(b1*b1-4. _d 0*a1*c1))/(2. _d 0*a1) |
| 367 |
Tsf = 0. _d 0 |
| 368 |
IF ( useBlkFlx ) THEN |
| 369 |
IF (hs.GT.3. _d -1) THEN |
| 370 |
iceornot=2 |
| 371 |
ELSE |
| 372 |
iceornot=1 |
| 373 |
ENDIF |
| 374 |
IF ( useBulkForce ) THEN |
| 375 |
CALL THSICE_GET_BULKF( |
| 376 |
I iceornot, Tsf, |
| 377 |
O flxExceptSw, df0dT, evap, dEvdT, |
| 378 |
I i,j,bi,bj,myThid ) |
| 379 |
ELSEIF ( useEXF ) THEN |
| 380 |
CALL THSICE_GET_EXF ( |
| 381 |
I iceornot, Tsf, |
| 382 |
O flxExceptSw, df0dT, evap, dEvdT, |
| 383 |
I i,j,bi,bj,myThid ) |
| 384 |
ENDIF |
| 385 |
dTsf = 0. _d 0 |
| 386 |
ELSE |
| 387 |
flxExceptSw = flxExSW(i,j,0) |
| 388 |
dTsf = 1000. |
| 389 |
df0dT = 0. |
| 390 |
ENDIF |
| 391 |
flx0 = fswdn + flxExceptSw |
| 392 |
ENDIF |
| 393 |
|
| 394 |
C Check for convergence. If no convergence, then repeat. |
| 395 |
C |
| 396 |
C Convergence test: Make sure Tsfc has converged, within prescribed error. |
| 397 |
C (Energy conservation is guaranteed within machine roundoff, even |
| 398 |
C if Tsfc has not converged.) |
| 399 |
C If no convergence, then repeat. |
| 400 |
|
| 401 |
#ifdef ALLOW_DBUG_THSICE |
| 402 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,1010) |
| 403 |
& 'ThSI_SOLVE4T: k,ts,t1,dTs=', k,Tsf,Tice(1),dTsf |
| 404 |
#endif |
| 405 |
IF ( useBlkFlx .AND. k.EQ.nitMaxTsf |
| 406 |
& .AND. ABS(dTsf).GE.Terrmax ) THEN |
| 407 |
WRITE (6,'(A,4I4,I12,F15.9)') |
| 408 |
& ' BB: not converge: i,j,it,hi=',i,j,bi,bj, |
| 409 |
& myIter,hi |
| 410 |
WRITE (6,*) 'BB: not converge: Tsf, dTsf=', Tsf,dTsf |
| 411 |
WRITE (6,*) 'BB: not converge: flx0,dfdT=',flx0,df0dT |
| 412 |
IF (Tsf.LT.-70. _d 0) STOP |
| 413 |
ENDIF |
| 414 |
|
| 415 |
ENDIF |
| 416 |
ENDDO |
| 417 |
C ------ end iteration ------------ |
| 418 |
|
| 419 |
C Compute new bottom layer temperature. |
| 420 |
|
| 421 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 422 |
CADJ STORE Tice(:) = comlev1_thsice_1, key=ikey_1 |
| 423 |
CADJ STORE df0dt = comlev1_thsice_1, key=ikey_1 |
| 424 |
#endif |
| 425 |
Tice(2) = (2. _d 0*dt*k32*(Tice(1)+2. _d 0*Tf) |
| 426 |
& + rhoi*cpIce *hi*Tice(2)) |
| 427 |
& /(6. _d 0*dt*k32 + rhoi*cpIce *hi) |
| 428 |
#ifdef ALLOW_DBUG_THSICE |
| 429 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,1010) |
| 430 |
& 'ThSI_SOLVE4T: k, Ts, Tice=',k,Tsf,Tice |
| 431 |
#endif |
| 432 |
|
| 433 |
C Compute final flux values at surfaces. |
| 434 |
|
| 435 |
fct = k12*(Tsf-Tice(1)) |
| 436 |
flxCnB(i,j) = 4. _d 0*kIce *(Tice(2)-Tf)/hi |
| 437 |
flx0 = flx0 + df0dT*dTsf |
| 438 |
IF ( useBlkFlx ) THEN |
| 439 |
C-- needs to update also Evap (Tsf changes) since Latent heat has been updated |
| 440 |
evpAtm(i,j) = evap + dEvdT*dTsf |
| 441 |
ELSE |
| 442 |
C- WARNING: Evap & +Evap*Lfresh are missing ! (but only affects Diagnostics) |
| 443 |
evpAtm(i,j) = 0. |
| 444 |
ENDIF |
| 445 |
C- energy flux to Atmos: use net short-wave flux at surf. and |
| 446 |
C use latent heat = Lvap (energy=0 for liq. water at 0.oC) |
| 447 |
flxAtm(i,j) = netSW + flxExceptSw |
| 448 |
& + df0dT*dTsf + evpAtm(i,j)*Lfresh |
| 449 |
C- excess of energy @ surface (used for surface melting): |
| 450 |
sHeat(i,j) = flx0 - fct |
| 451 |
|
| 452 |
C- SW flux at sea-ice base left to the ocean |
| 453 |
flxSW(i,j) = fswocn |
| 454 |
|
| 455 |
#ifdef ALLOW_DBUG_THSICE |
| 456 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,1020) |
| 457 |
& 'ThSI_SOLVE4T: flx0,fct,Dif,flxCnB=', |
| 458 |
& flx0,fct,flx0-fct,flxCnB(i,j) |
| 459 |
#endif |
| 460 |
|
| 461 |
C Compute new enthalpy for each layer. |
| 462 |
|
| 463 |
qicen(1) = -cpWater*Tmlt1 + cpIce *(Tmlt1-Tice(1)) |
| 464 |
& + Lfresh*(1. _d 0-Tmlt1/Tice(1)) |
| 465 |
qicen(2) = -cpIce *Tice(2) + Lfresh |
| 466 |
|
| 467 |
C Make sure internal ice temperatures do not exceed Tmlt. |
| 468 |
C (This should not happen for reasonable values of i0swFrac) |
| 469 |
|
| 470 |
IF (Tice(1) .GE. Tmlt1) THEN |
| 471 |
WRITE (6,'(A,2I4,2I3,1P2E14.6)') |
| 472 |
& ' BBerr - Bug: IceT(1) > Tmlt',i,j,bi,bj,Tice(1),Tmlt1 |
| 473 |
ENDIF |
| 474 |
IF (Tice(2) .GE. 0. _d 0) THEN |
| 475 |
WRITE (6,'(A,2I4,2I3,1P2E14.6)') |
| 476 |
& ' BBerr - Bug: IceT(2) > 0',i,j,bi,bj,Tice(2) |
| 477 |
ENDIF |
| 478 |
|
| 479 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 480 |
C-- Update Sea-Ice state : |
| 481 |
tSrf(i,j) = Tsf |
| 482 |
tIc1(i,j) = Tice(1) |
| 483 |
tic2(i,j) = Tice(2) |
| 484 |
qIc1(i,j) = qicen(1) |
| 485 |
qIc2(i,j) = qicen(2) |
| 486 |
c dTsrf(i,j) = dTsf |
| 487 |
IF ( .NOT.useBlkFlx ) dTsrf(i,j) = dTsf |
| 488 |
c sHeat(i,j) = sHeating |
| 489 |
c flxCnB(i,j)= flxCnB |
| 490 |
c flxAtm(i,j)= flxAtm |
| 491 |
c evpAtm(i,j)= evpAtm |
| 492 |
#ifdef ALLOW_DBUG_THSICE |
| 493 |
IF ( dBug(i,j,bi,bj) ) THEN |
| 494 |
WRITE(6,1020) 'ThSI_SOLV_4T: Tsf, Tice(1,2), dTsurf=', |
| 495 |
& Tsf, Tice, dTsf |
| 496 |
WRITE(6,1020) 'ThSI_SOLV_4T: sHeat, flxCndBt, Qice =', |
| 497 |
& sHeat(i,j), flxCnB(i,j), qicen |
| 498 |
WRITE(6,1020) 'ThSI_SOLV_4T: flxA, evpA, fxSW_bf,af=', |
| 499 |
& flxAtm(i,j), evpAtm(i,j), netSW, flxSW(i,j) |
| 500 |
ENDIF |
| 501 |
#endif |
| 502 |
ELSE |
| 503 |
IF ( .NOT.useBlkFlx ) dTsrf(i,j) = 0. _d 0 |
| 504 |
ENDIF |
| 505 |
ENDDO |
| 506 |
ENDDO |
| 507 |
#endif /* ALLOW_THSICE */ |
| 508 |
|
| 509 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 510 |
|
| 511 |
RETURN |
| 512 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph