7 |
C !ROUTINE: THSICE_SOLVE4TEMP |
C !ROUTINE: THSICE_SOLVE4TEMP |
8 |
C !INTERFACE: |
C !INTERFACE: |
9 |
SUBROUTINE THSICE_SOLVE4TEMP( |
SUBROUTINE THSICE_SOLVE4TEMP( |
10 |
I bi, bj, siLo, siHi, sjLo, sjHi, |
I bi, bj, |
11 |
I iMin,iMax, jMin,jMax, dBugFlag, |
I iMin,iMax, jMin,jMax, dBugFlag, |
12 |
I useBulkForce, useEXF, |
I useBulkForce, useEXF, |
13 |
I iceMask, hIce, hSnow, tFrz, flxExSW, |
I iceMask, hIce, hSnow, tFrz, flxExSW, |
27 |
C LANL CICE.v2.0.2 |
C LANL CICE.v2.0.2 |
28 |
C----------------------------------------------------------------------- |
C----------------------------------------------------------------------- |
29 |
C.. thermodynamics (vertical physics) based on M. Winton 3-layer model |
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 |
C.. See Bitz, C. M. and W. H. Lipscomb, 1999: An energy-conserving |
31 |
C.. thermodynamic sea ice model for climate study." J. Geophys. |
C.. thermodynamic sea ice model for climate study. |
32 |
C.. Res., 104, 15669 - 15677. |
C.. J. Geophys. Res., 104, 15669 - 15677. |
33 |
C.. Winton, M., 1999: "A reformulated three-layer sea ice model." |
C.. Winton, M., 1999: "A reformulated three-layer sea ice model." |
34 |
C.. Submitted to J. Atmos. Ocean. Technol. |
C.. Submitted to J. Atmos. Ocean. Technol. |
35 |
C.. authors Elizabeth C. Hunke and William Lipscomb |
C.. authors Elizabeth C. Hunke and William Lipscomb |
44 |
|
|
45 |
C == Global variables === |
C == Global variables === |
46 |
#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
47 |
|
#include "SIZE.h" |
48 |
#include "THSICE_SIZE.h" |
#include "THSICE_SIZE.h" |
49 |
#include "THSICE_PARAMS.h" |
#include "THSICE_PARAMS.h" |
50 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
|
# include "SIZE.h" |
|
51 |
# include "tamc.h" |
# include "tamc.h" |
52 |
# include "tamc_keys.h" |
# include "tamc_keys.h" |
53 |
#endif |
#endif |
54 |
|
|
55 |
C !INPUT/OUTPUT PARAMETERS: |
C !INPUT/OUTPUT PARAMETERS: |
56 |
C == Routine Arguments == |
C == Routine Arguments == |
|
C siLo,siHi :: size of input/output array: 1rst dim. lower,higher bounds |
|
|
C sjLo,sjHi :: size of input/output array: 2nd dim. lower,higher bounds |
|
57 |
C bi,bj :: tile indices |
C bi,bj :: tile indices |
58 |
C iMin,iMax :: computation domain: 1rst index range |
C iMin,iMax :: computation domain: 1rst index range |
59 |
C jMin,jMax :: computation domain: 2nd index range |
C jMin,jMax :: computation domain: 2nd index range |
61 |
C useBulkForce:: use surf. fluxes from bulk-forcing external S/R |
C useBulkForce:: use surf. fluxes from bulk-forcing external S/R |
62 |
C useEXF :: use surf. fluxes from exf external S/R |
C useEXF :: use surf. fluxes from exf external S/R |
63 |
C--- Input: |
C--- Input: |
64 |
C iceMask :: sea-ice fractional mask [0-1] |
C iceMask :: sea-ice fractional mask [0-1] |
65 |
C hIce (hi) :: ice height [m] |
C hIce :: ice height [m] |
66 |
C hSnow (hs) :: snow height [m] |
C hSnow :: snow height [m] |
67 |
C tFrz (Tf) :: sea-water freezing temperature [oC] (function of S) |
C tFrz :: sea-water freezing temperature [oC] (function of S) |
68 |
C flxExSW (=) :: surf. heat flux (+=down) except SW, function of surf. temp Ts: |
C flxExSW :: surf. heat flux (+=down) except SW, function of surf. temp Ts: |
69 |
C 0: Flx(Ts=0) ; 1: Flx(Ts=Ts^n) ; 2: d.Flx/dTs(Ts=Ts^n) |
C 0: Flx(Ts=0) ; 1: Flx(Ts=Ts^n) ; 2: d.Flx/dTs(Ts=Ts^n) |
70 |
C--- Modified (input&output): |
C--- Modified (input&output): |
71 |
C flxSW (netSW) :: net Short-Wave flux (+=down) [W/m2]: input= at surface |
C flxSW :: net Short-Wave flux (+=down) [W/m2]: input= at surface |
72 |
C (=) :: output= below sea-ice, into the ocean |
C :: output= below sea-ice, into the ocean |
73 |
C tSrf (Tsf) :: surface (ice or snow) temperature |
C tSrf :: surface (ice or snow) temperature |
74 |
C qIc1 (qicen) :: ice enthalpy (J/kg), 1rst level |
C qIc1 :: ice enthalpy (J/kg), 1rst level |
75 |
C qIc2 (qicen) :: ice enthalpy (J/kg), 2nd level |
C qIc2 :: ice enthalpy (J/kg), 2nd level |
76 |
C--- Output |
C--- Output |
77 |
C tIc1 (Tice) :: temperature of ice layer 1 [oC] |
C tIc1 :: temperature of ice layer 1 [oC] |
78 |
C tIc2 (Tice) :: temperature of ice layer 2 [oC] |
C tIc2 :: temperature of ice layer 2 [oC] |
79 |
C dTsrf (dTsf) :: surf. temp adjusment: Ts^n+1 - Ts^n |
C dTsrf :: surf. temp adjusment: Ts^n+1 - Ts^n |
80 |
C sHeat(sHeating):: surf heating flux left to melt snow or ice (= Atmos-conduction) |
C sHeat :: surf heating flux left to melt snow or ice (= Atmos-conduction) |
81 |
C flxCnB (=) :: heat flux conducted through the ice to bottom surface |
C flxCnB :: heat flux conducted through the ice to bottom surface |
82 |
C flxAtm (=) :: net flux of energy from the atmosphere [W/m2] (+=down) |
C flxAtm :: net flux of energy from the atmosphere [W/m2] (+=down) |
83 |
C without snow precip. (energy=0 for liquid water at 0.oC) |
C without snow precip. (energy=0 for liquid water at 0.oC) |
84 |
C evpAtm (=) :: evaporation to the atmosphere [kg/m2/s] (>0 if evaporate) |
C evpAtm :: evaporation to the atmosphere [kg/m2/s] (>0 if evaporate) |
85 |
C--- Input: |
C--- Input: |
86 |
C myTime :: current Time of simulation [s] |
C myTime :: current Time of simulation [s] |
87 |
C myIter :: current Iteration number in simulation |
C myIter :: current Iteration number in simulation |
88 |
C myThid :: my Thread Id number |
C myThid :: my Thread Id number |
|
INTEGER siLo, siHi, sjLo, sjHi |
|
89 |
INTEGER bi,bj |
INTEGER bi,bj |
90 |
INTEGER iMin, iMax |
INTEGER iMin, iMax |
91 |
INTEGER jMin, jMax |
INTEGER jMin, jMax |
92 |
LOGICAL dBugFlag |
LOGICAL dBugFlag |
93 |
LOGICAL useBulkForce |
LOGICAL useBulkForce |
94 |
LOGICAL useEXF |
LOGICAL useEXF |
95 |
_RL iceMask(siLo:siHi,sjLo:sjHi) |
_RL iceMask(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
96 |
_RL hIce (siLo:siHi,sjLo:sjHi) |
_RL hIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
97 |
_RL hSnow (siLo:siHi,sjLo:sjHi) |
_RL hSnow (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
98 |
_RL tFrz (siLo:siHi,sjLo:sjHi) |
_RL tFrz (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
99 |
_RL flxExSW(iMin:iMax,jMin:jMax,0:2) |
_RL flxExSW(iMin:iMax,jMin:jMax,0:2) |
100 |
_RL flxSW (siLo:siHi,sjLo:sjHi) |
_RL flxSW (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
101 |
_RL tSrf (siLo:siHi,sjLo:sjHi) |
_RL tSrf (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
102 |
_RL qIc1 (siLo:siHi,sjLo:sjHi) |
_RL qIc1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
103 |
_RL qIc2 (siLo:siHi,sjLo:sjHi) |
_RL qIc2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
104 |
_RL tIc1 (siLo:siHi,sjLo:sjHi) |
_RL tIc1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
105 |
_RL tIc2 (siLo:siHi,sjLo:sjHi) |
_RL tIc2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
c _RL dTsrf (siLo:siHi,sjLo:sjHi) |
|
106 |
_RL dTsrf (iMin:iMax,jMin:jMax) |
_RL dTsrf (iMin:iMax,jMin:jMax) |
107 |
_RL sHeat (siLo:siHi,sjLo:sjHi) |
_RL sHeat (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
108 |
_RL flxCnB (siLo:siHi,sjLo:sjHi) |
_RL flxCnB (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
109 |
_RL flxAtm (siLo:siHi,sjLo:sjHi) |
_RL flxAtm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
110 |
_RL evpAtm (siLo:siHi,sjLo:sjHi) |
_RL evpAtm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
111 |
_RL myTime |
_RL myTime |
112 |
INTEGER myIter |
INTEGER myIter |
113 |
INTEGER myThid |
INTEGER myThid |
115 |
|
|
116 |
#ifdef ALLOW_THSICE |
#ifdef ALLOW_THSICE |
117 |
C !LOCAL VARIABLES: |
C !LOCAL VARIABLES: |
|
C--- local copy of input/output argument list variables (see description above) |
|
|
c _RL flxExcSw(0:2) |
|
|
_RL Tf |
|
|
_RL hi |
|
|
_RL hs |
|
|
_RL netSW |
|
|
_RL Tsf |
|
|
_RL qicen(nlyr) |
|
|
_RL Tice (nlyr) |
|
|
c _RL sHeating |
|
|
c _RL flxCnB |
|
|
_RL dTsf |
|
|
c _RL flxAtm |
|
|
c _RL evpAtm |
|
|
|
|
118 |
C == Local Variables == |
C == Local Variables == |
119 |
INTEGER i,j |
C useBlkFlx :: use some bulk-formulae to compute fluxes over sea-ice |
120 |
INTEGER k, iterMax |
C :: (otherwise, fluxes are passed as argument from AIM) |
121 |
|
C iterate4Tsf :: to stop to iterate when all icy grid pts Tsf did converged |
122 |
_RL frsnow ! fractional snow cover |
C iceFlag :: True= do iterate for Surf.Temp ; False= do nothing |
123 |
_RL fswpen ! SW penetrating beneath surface (W m-2) |
C frsnow :: fractional snow cover |
124 |
_RL fswdn ! SW absorbed at surface (W m-2) |
C fswpen :: SW penetrating beneath surface (W m-2) |
125 |
_RL fswint ! SW absorbed in ice (W m-2) |
C fswdn :: SW absorbed at surface (W m-2) |
126 |
_RL fswocn ! SW passed through ice to ocean (W m-2) |
C fswint :: SW absorbed in ice (W m-2) |
127 |
_RL flxExceptSw ! net surface heat flux, except short-wave (W/m2) |
C fswocn :: SW passed through ice to ocean (W m-2) |
128 |
C evap :: evaporation over snow/ice [kg/m2/s] (>0 if evaporate) |
C Tsf :: surface (ice or snow) temperature (local copy of tSrf) |
129 |
C dEvdT :: derivative of evap. with respect to Tsf [kg/m2/s/K] |
C flx0exSW :: net surface heat flux over melting snow/ice, except short-wave. |
130 |
_RL evap, dEvdT |
C flxTexSW :: net surface heat flux, except short-wave (W/m2) |
131 |
_RL flx0 ! net surf heat flux, from Atmos. to sea-ice (W m-2) |
C dFlxdT :: deriv of flxNet wrt Tsf (W m-2 deg-1) |
132 |
_RL fct ! heat conducted to top surface |
C evap0 :: evaporation over melting snow/ice [kg/m2/s] (>0 if evaporate) |
133 |
_RL df0dT ! deriv of flx0 wrt Tsf (W m-2 deg-1) |
C evapT :: evaporation over snow/ice [kg/m2/s] (>0 if evaporate) |
134 |
_RL k12, k32 ! thermal conductivity terms |
C dEvdT :: derivative of evap. with respect to Tsf [kg/m2/s/K] |
135 |
_RL a10, b10 ! coefficients in quadratic eqn for T1 |
C flxNet :: net surf heat flux (+=down), from Atmos. to sea-ice (W m-2) |
136 |
_RL a1, b1, c1 ! coefficients in quadratic eqn for T1 |
C netSW :: net Short-Wave flux at surface (+=down) [W/m2] |
137 |
c _RL Tsf_start ! old value of Tsf |
C fct :: heat conducted to top surface |
138 |
_RL dt ! timestep |
C k12, k32 :: thermal conductivity terms |
139 |
_RL recip_dhSnowLin |
C a10,b10,c10 :: coefficients in quadratic eqn for T1 |
140 |
INTEGER iceornot |
C a1, b1, c1 :: coefficients in quadratic eqn for T1 |
141 |
|
C dt :: timestep |
142 |
LOGICAL useBlkFlx |
LOGICAL useBlkFlx |
143 |
|
LOGICAL iterate4Tsf |
144 |
|
LOGICAL iceFlag(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
145 |
|
INTEGER i, j, k, iterMax |
146 |
|
INTEGER ii, jj, icount, stdUnit |
147 |
|
CHARACTER*(MAX_LEN_MBUF) msgBuf |
148 |
|
_RL frsnow |
149 |
|
_RL fswpen |
150 |
|
_RL fswdn |
151 |
|
_RL fswint |
152 |
|
_RL fswocn |
153 |
|
_RL Tsf (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
154 |
|
_RL flx0exSW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
155 |
|
_RL flxTexSW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
156 |
|
_RL dFlxdT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
157 |
|
_RL evap0 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
158 |
|
_RL evapT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
159 |
|
_RL dEvdT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
160 |
|
_RL flxNet |
161 |
|
_RL fct |
162 |
|
_RL k12 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
163 |
|
_RL k32 |
164 |
|
_RL a10 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
165 |
|
_RL b10 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
166 |
|
_RL c10 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
167 |
|
_RL a1, b1, c1 |
168 |
|
_RL dt |
169 |
|
_RL recip_dhSnowLin |
170 |
|
#ifdef ALLOW_DBUG_THSICE |
171 |
|
_RL netSW |
172 |
|
#endif |
173 |
|
|
174 |
C- define grid-point location where to print debugging values |
C- Define grid-point location where to print debugging values |
175 |
#include "THSICE_DEBUG.h" |
#include "THSICE_DEBUG.h" |
176 |
|
|
177 |
1010 FORMAT(A,I3,3F11.6) |
1010 FORMAT(A,I3,3F11.6) |
178 |
1020 FORMAT(A,1P4E14.6) |
1020 FORMAT(A,1P4E14.6) |
179 |
|
|
180 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-| |
181 |
|
|
182 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
183 |
act1 = bi - myBxLo(myThid) |
act1 = bi - myBxLo(myThid) |
187 |
act3 = myThid - 1 |
act3 = myThid - 1 |
188 |
max3 = nTx*nTy |
max3 = nTx*nTy |
189 |
act4 = ikey_dynamics - 1 |
act4 = ikey_dynamics - 1 |
190 |
|
iicekey = (act1 + 1) + act2*max1 |
191 |
|
& + act3*max1*max2 |
192 |
|
& + act4*max1*max2*max3 |
193 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
#endif /* ALLOW_AUTODIFF_TAMC */ |
194 |
|
|
195 |
|
#ifdef ALLOW_AUTODIFF_TAMC |
196 |
|
CADJ STORE flxsw(:,:) = comlev1_bibj,key=iicekey,byte=isbyte |
197 |
|
DO j = 1-OLy, sNy+OLy |
198 |
|
DO i = 1-OLx, sNx+OLx |
199 |
|
tIc1(i,j) = 0. _d 0 |
200 |
|
tIc2(i,j) = 0. _d 0 |
201 |
|
ENDDO |
202 |
|
ENDDO |
203 |
|
#endif |
204 |
|
|
205 |
|
stdUnit = standardMessageUnit |
206 |
useBlkFlx = useEXF .OR. useBulkForce |
useBlkFlx = useEXF .OR. useBulkForce |
207 |
|
dt = thSIce_dtTemp |
208 |
IF ( dhSnowLin.GT.0. _d 0 ) THEN |
IF ( dhSnowLin.GT.0. _d 0 ) THEN |
209 |
recip_dhSnowLin = 1. _d 0 / dhSnowLin |
recip_dhSnowLin = 1. _d 0 / dhSnowLin |
210 |
ELSE |
ELSE |
211 |
recip_dhSnowLin = 0. _d 0 |
recip_dhSnowLin = 0. _d 0 |
212 |
ENDIF |
ENDIF |
213 |
|
|
214 |
dt = thSIce_dtTemp |
iterate4Tsf = .FALSE. |
215 |
|
icount = 0 |
216 |
|
|
217 |
DO j = jMin, jMax |
DO j = jMin, jMax |
218 |
DO i = iMin, iMax |
DO i = iMin, iMax |
219 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
220 |
ikey_1 = i |
c ikey_1 = i |
221 |
& + sNx*(j-1) |
c & + sNx*(j-1) |
222 |
& + sNx*sNy*act1 |
c & + sNx*sNy*act1 |
223 |
& + sNx*sNy*max1*act2 |
c & + sNx*sNy*max1*act2 |
224 |
& + sNx*sNy*max1*max2*act3 |
c & + sNx*sNy*max1*max2*act3 |
225 |
& + sNx*sNy*max1*max2*max3*act4 |
c & + sNx*sNy*max1*max2*max3*act4 |
226 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
#endif /* ALLOW_AUTODIFF_TAMC */ |
|
C-- |
|
227 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
228 |
CADJ STORE devdt = comlev1_thsice_1, key=ikey_1 |
cCADJ STORE devdt(i,j) = comlev1_thsice_1, key=ikey_1 |
229 |
CADJ STORE df0dt = comlev1_thsice_1, key=ikey_1 |
cCADJ STORE dFlxdT(i,j) = comlev1_thsice_1, key=ikey_1 |
230 |
CADJ STORE flxexceptsw = comlev1_thsice_1, key=ikey_1 |
cCADJ STORE flxsw(i,j) = comlev1_thsice_1, key=ikey_1 |
231 |
CADJ STORE flxsw(i,j) = comlev1_thsice_1, key=ikey_1 |
cCADJ STORE qic1(i,j) = comlev1_thsice_1, key=ikey_1 |
232 |
CADJ STORE qic1(i,j) = comlev1_thsice_1, key=ikey_1 |
cCADJ STORE qic2(i,j) = comlev1_thsice_1, key=ikey_1 |
233 |
CADJ STORE qic2(i,j) = comlev1_thsice_1, key=ikey_1 |
cCADJ STORE tsrf(i,j) = comlev1_thsice_1, key=ikey_1 |
|
CADJ STORE tsrf(i,j) = comlev1_thsice_1, key=ikey_1 |
|
234 |
#endif |
#endif |
235 |
IF ( iceMask(i,j).GT.0. _d 0) THEN |
IF ( iceMask(i,j).GT.0. _d 0) THEN |
236 |
hi = hIce(i,j) |
iterate4Tsf = .TRUE. |
237 |
hs = hSnow(i,j) |
iceFlag(i,j) = .TRUE. |
|
Tf = tFrz(i,j) |
|
|
netSW = flxSW(i,j) |
|
|
Tsf = tSrf(i,j) |
|
|
qicen(1)= qIc1(i,j) |
|
|
qicen(2)= qIc2(i,j) |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
|
238 |
#ifdef ALLOW_DBUG_THSICE |
#ifdef ALLOW_DBUG_THSICE |
239 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,'(A,2I4,2I2)') |
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,'(A,2I4,2I2)') |
240 |
& 'ThSI_SOLVE4T: i,j=',i,j,bi,bj |
& 'ThSI_SOLVE4T: i,j=',i,j,bi,bj |
241 |
#endif |
#endif |
242 |
IF ( hi.LT.hIceMin ) THEN |
IF ( hIce(i,j).LT.hIceMin ) THEN |
243 |
C If hi < hIceMin, melt the ice. |
C if hi < hIceMin, melt the ice. |
244 |
STOP 'THSICE_SOLVE4TEMP: should not enter if hi<hIceMin' |
C keep the position of this problem but do the stop later |
245 |
|
ii = i |
246 |
|
jj = j |
247 |
|
icount = icount + 1 |
248 |
ENDIF |
ENDIF |
249 |
|
|
250 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C-- Fractional snow cover: |
251 |
|
C assume a linear distribution of snow thickness, with dhSnowLin slope, |
252 |
|
C from hs-dhSnowLin to hs+dhSnowLin if full ice & snow cover. |
253 |
|
C frsnow = fraction of snow over the ice-covered part of the grid cell |
254 |
|
IF ( hSnow(i,j) .GT. iceMask(i,j)*dhSnowLin ) THEN |
255 |
|
frsnow = 1. _d 0 |
256 |
|
ELSE |
257 |
|
frsnow = hSnow(i,j)*recip_dhSnowLin/iceMask(i,j) |
258 |
|
IF ( frsnow.GT.0. _d 0 ) frsnow = SQRT(frsnow) |
259 |
|
ENDIF |
260 |
|
|
261 |
C fractional snow cover |
C-- Compute SW flux absorbed at surface and penetrating to layer 1. |
262 |
C assume a linear distribution of snow thickness, with dhSnowLin slope, |
fswpen = flxSW(i,j) * (1. _d 0 - frsnow) * i0swFrac |
263 |
C from hs-dhSnowLin to hs+dhSnowLin if full ice & snow cover. |
fswocn = fswpen * exp(-ksolar*hIce(i,j)) |
264 |
C frsnow = fraction of snow over the ice-covered part of the grid cell |
fswint = fswpen - fswocn |
265 |
IF ( hs .GT. iceMask(i,j)*dhSnowLin ) THEN |
fswdn = flxSW(i,j) - fswpen |
266 |
frsnow = 1. _d 0 |
|
267 |
ELSE |
C Initialise Atmospheric surf. heat flux with net SW flux at the surface |
268 |
frsnow = hs*recip_dhSnowLin/iceMask(i,j) |
flxAtm(i,j) = flxSW(i,j) |
269 |
IF ( frsnow.GT.0. _d 0 ) frsnow = SQRT(frsnow) |
C SW flux at sea-ice base left to the ocean |
270 |
ENDIF |
flxSW(i,j) = fswocn |
271 |
|
C Initialise surface Heating with SW contribution |
272 |
|
sHeat(i,j) = fswdn |
273 |
|
|
274 |
|
C-- Compute conductivity terms at layer interfaces. |
275 |
|
k12(i,j) = 4. _d 0*kIce*kSnow |
276 |
|
& / (kSnow*hIce(i,j) + 4. _d 0*kIce*hSnow(i,j)) |
277 |
|
k32 = 2. _d 0*kIce / hIce(i,j) |
278 |
|
|
279 |
|
C-- Compute ice temperatures |
280 |
|
a1 = cpIce |
281 |
|
b1 = qIc1(i,j) + (cpWater-cpIce )*Tmlt1 - Lfresh |
282 |
|
c1 = Lfresh * Tmlt1 |
283 |
|
tIc1(i,j) = 0.5 _d 0 *(-b1 - SQRT(b1*b1-4. _d 0*a1*c1))/a1 |
284 |
|
tIc2(i,j) = (Lfresh-qIc2(i,j)) / cpIce |
285 |
|
|
|
C Compute SW flux absorbed at surface and penetrating to layer 1. |
|
|
fswpen = netSW * (1. _d 0 - frsnow) * i0swFrac |
|
|
fswocn = fswpen * exp(-ksolar*hi) |
|
|
fswint = fswpen - fswocn |
|
|
|
|
|
fswdn = netSW - fswpen |
|
|
|
|
|
C Compute conductivity terms at layer interfaces. |
|
|
|
|
|
k12 = 4. _d 0*kIce*kSnow / (kSnow*hi + 4. _d 0*kIce*hs) |
|
|
k32 = 2. _d 0*kIce / hi |
|
|
|
|
|
C compute ice temperatures |
|
|
a1 = cpIce |
|
|
b1 = qicen(1) + (cpWater-cpIce )*Tmlt1 - Lfresh |
|
|
c1 = Lfresh * Tmlt1 |
|
|
Tice(1) = 0.5 _d 0 *(-b1 - SQRT(b1*b1-4. _d 0*a1*c1))/a1 |
|
|
Tice(2) = (Lfresh-qicen(2)) / cpIce |
|
|
|
|
|
IF (Tice(1).GT.0. _d 0 ) THEN |
|
|
WRITE (standardMessageUnit,'(A,I12,1PE14.6)') |
|
|
& ' BBerr: Tice(1) > 0 ; it=', myIter, qicen(1) |
|
|
WRITE (standardMessageUnit,'(A,4I5,2F11.4)') |
|
|
& ' BBerr: i,j,bi,bj,Tice = ',i,j,bi,bj,Tice |
|
|
ENDIF |
|
|
IF ( Tice(2).GT.0. _d 0) THEN |
|
|
WRITE (standardMessageUnit,'(A,I12,1PE14.6)') |
|
|
& ' BBerr: Tice(2) > 0 ; it=', myIter, qicen(2) |
|
|
WRITE (standardMessageUnit,'(A,4I5,2F11.4)') |
|
|
& ' BBerr: i,j,bi,bj,Tice = ',i,j,bi,bj,Tice |
|
|
ENDIF |
|
286 |
#ifdef ALLOW_DBUG_THSICE |
#ifdef ALLOW_DBUG_THSICE |
287 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,1010) |
IF (tIc1(i,j).GT.0. _d 0 ) THEN |
288 |
& 'ThSI_SOLVE4T: k, Ts, Tice=',0,Tsf,Tice |
WRITE(stdUnit,'(A,I12,1PE14.6)') |
289 |
|
& ' BBerr: Tice(1) > 0 ; it=', myIter, qIc1(i,j) |
290 |
|
WRITE(stdUnit,'(A,4I5,2F11.4)') |
291 |
|
& ' BBerr: i,j,bi,bj,Tice = ',i,j,bi,bj,tIc1(i,j),tIc2(i,j) |
292 |
|
ENDIF |
293 |
|
IF ( tIc2(i,j).GT.0. _d 0) THEN |
294 |
|
WRITE(stdUnit,'(A,I12,1PE14.6)') |
295 |
|
& ' BBerr: Tice(2) > 0 ; it=', myIter, qIc2(i,j) |
296 |
|
WRITE(stdUnit,'(A,4I5,2F11.4)') |
297 |
|
& ' BBerr: i,j,bi,bj,Tice = ',i,j,bi,bj,tIc1(i,j),tIc2(i,j) |
298 |
|
ENDIF |
299 |
|
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,1010) |
300 |
|
& 'ThSI_SOLVE4T: k, Ts, Tice=',0,tSrf(i,j),tIc1(i,j),tIc2(i,j) |
301 |
#endif |
#endif |
302 |
|
|
303 |
C Compute coefficients used in quadratic formula. |
C-- Compute coefficients used in quadratic formula. |
304 |
|
|
305 |
a10 = rhoi*cpIce *hi/(2. _d 0*dt) + |
a10(i,j) = rhoi*cpIce *hIce(i,j)/(2. _d 0*dt) + |
306 |
& k32 * (4. _d 0*dt*k32 + rhoi*cpIce *hi) |
& k32*( 4. _d 0*dt*k32 + rhoi*cpIce *hIce(i,j) ) |
307 |
& / (6. _d 0*dt*k32 + rhoi*cpIce *hi) |
& / ( 6. _d 0*dt*k32 + rhoi*cpIce *hIce(i,j) ) |
308 |
b10 = -hi* |
b10(i,j) = -hIce(i,j)* |
309 |
& (rhoi*cpIce*Tice(1)+rhoi*Lfresh*Tmlt1/Tice(1)) |
& ( rhoi*cpIce*tIc1(i,j) + rhoi*Lfresh*Tmlt1/tIc1(i,j) ) |
310 |
& /(2. _d 0*dt) |
& /(2. _d 0*dt) |
311 |
& - k32 * (4. _d 0*dt*k32*Tf+rhoi*cpIce *hi*Tice(2)) |
& - k32*( 4. _d 0*dt*k32*tFrz(i,j) |
312 |
& / (6. _d 0*dt*k32 + rhoi*cpIce *hi) - fswint |
& +rhoi*cpIce*hIce(i,j)*tIc2(i,j) ) |
313 |
c1 = rhoi*Lfresh*hi*Tmlt1 / (2. _d 0*dt) |
& / ( 6. _d 0*dt*k32 + rhoi*cpIce *hIce(i,j) ) |
314 |
|
& - fswint |
315 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
c10(i,j) = rhoi*Lfresh*hIce(i,j)*Tmlt1 / (2. _d 0*dt) |
|
C Compute new surface and internal temperatures; iterate until |
|
|
C Tsfc converges. |
|
316 |
|
|
317 |
IF ( useBlkFlx ) THEN |
ELSE |
318 |
iterMax = nitMaxTsf |
iceFlag(i,j) = .FALSE. |
319 |
ELSE |
ENDIF |
320 |
iterMax = 1 |
ENDDO |
321 |
|
ENDDO |
322 |
|
IF ( icount .gt. 0 ) THEN |
323 |
|
WRITE(stdUnit,'(A,I5,A)') |
324 |
|
& 'THSICE_SOLVE4TEMP: there are ',icount, |
325 |
|
& ' case(s) where hIce<hIceMin;' |
326 |
|
WRITE(stdUnit,'(A,I3,A1,I3,A)') |
327 |
|
& 'THSICE_SOLVE4TEMP: the last one was at (',ii,',',jj, |
328 |
|
& ') with hIce = ', hIce(ii,jj) |
329 |
|
WRITE( msgBuf, '(A)') |
330 |
|
& 'THSICE_SOLVE4TEMP: should not enter if hIce<hIceMin' |
331 |
|
CALL PRINT_ERROR( msgBuf , myThid ) |
332 |
|
STOP 'ABNORMAL END: S/R THSICE_SOLVE4TEMP' |
333 |
ENDIF |
ENDIF |
|
dTsf = Terrmax |
|
334 |
|
|
335 |
C ----- begin iteration ----- |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-| |
|
DO k = 1,iterMax |
|
336 |
|
|
337 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
338 |
ikey_3 = (ikey_1-1)*MaxTsf + k |
CADJ STORE devdt(:,:) = comlev1_bibj,key=iicekey,byte=isbyte |
339 |
|
CADJ STORE tsf(:,:) = comlev1_bibj,key=iicekey,byte=isbyte |
340 |
#endif |
#endif |
341 |
|
|
342 |
|
C-- Get surface fluxes over melting surface |
343 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
344 |
CADJ STORE tsf = comlev1_thsice_3, key=ikey_3 |
IF ( useBlkFlx ) THEN |
345 |
CADJ STORE dtsf = comlev1_thsice_3, key=ikey_3 |
#else |
346 |
CADJ STORE df0dt = comlev1_thsice_3, key=ikey_3 |
IF ( useBlkFlx .AND. iterate4Tsf ) THEN |
|
CADJ STORE flxexceptsw = comlev1_thsice_3, key=ikey_3 |
|
347 |
#endif |
#endif |
348 |
IF ( ABS(dTsf).GE.Terrmax ) THEN |
DO j = jMin, jMax |
349 |
|
DO i = iMin, iMax |
350 |
|
Tsf(i,j) = 0. |
351 |
|
ENDDO |
352 |
|
ENDDO |
353 |
|
IF ( useEXF ) THEN |
354 |
|
CALL THSICE_GET_EXF( bi, bj, |
355 |
|
I iMin, iMax, jMin, jMax, |
356 |
|
I iceFlag, hSnow, Tsf, |
357 |
|
O flx0exSW, dFlxdT, evap0, dEvdT, |
358 |
|
I myTime, myIter, myThid ) |
359 |
|
C- could add this "ifdef" to hide THSICE_GET_BULKF from TAF |
360 |
|
#ifdef ALLOW_BULK_FORCE |
361 |
|
ELSEIF ( useBulkForce ) THEN |
362 |
|
CALL THSICE_GET_BULKF( bi, bj, |
363 |
|
I iMin, iMax, jMin, jMax, |
364 |
|
I iceFlag, hSnow, Tsf, |
365 |
|
O flx0exSW, dFlxdT, evap0, dEvdT, |
366 |
|
I myTime, myIter, myThid ) |
367 |
|
#endif /* ALLOW_BULK_FORCE */ |
368 |
|
ENDIF |
369 |
|
ENDIF |
370 |
|
|
371 |
C Save temperatures at start of iteration. |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-| |
372 |
c Tsf_start = Tsf |
C--- Compute new surface and internal temperatures; iterate until |
373 |
|
C Tsfc converges. |
374 |
|
DO j = jMin, jMax |
375 |
|
DO i = iMin, iMax |
376 |
|
Tsf(i,j) = tSrf(i,j) |
377 |
|
dTsrf(i,j) = Terrmax |
378 |
|
ENDDO |
379 |
|
ENDDO |
380 |
|
IF ( useBlkFlx ) THEN |
381 |
|
iterMax = nitMaxTsf |
382 |
|
ELSE |
383 |
|
iterMax = 1 |
384 |
|
ENDIF |
385 |
|
|
|
IF ( useBlkFlx ) THEN |
|
386 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
387 |
CADJ STORE tsf = comlev1_thsice_3, key=ikey_3 |
CADJ STORE devdt(:,:) = comlev1_bibj,key=iicekey,byte=isbyte |
388 |
#endif |
CADJ STORE dflxdt(:,:) = comlev1_bibj,key=iicekey,byte=isbyte |
389 |
C Compute top surface flux. |
CADJ STORE flx0exsw(:,:) = comlev1_bibj,key=iicekey,byte=isbyte |
390 |
IF (hs.GT.3. _d -1) THEN |
CADJ STORE flxtexsw(:,:) = comlev1_bibj,key=iicekey,byte=isbyte |
|
iceornot=2 |
|
|
ELSE |
|
|
iceornot=1 |
|
|
ENDIF |
|
|
IF ( useBulkForce ) THEN |
|
|
CALL THSICE_GET_BULKF( |
|
|
I iceornot, Tsf, |
|
|
O flxExceptSw, df0dT, evap, dEvdT, |
|
|
I i,j,bi,bj,myThid ) |
|
|
ELSEIF ( useEXF ) THEN |
|
|
CALL THSICE_GET_EXF ( |
|
|
I iceornot, Tsf, |
|
|
O flxExceptSw, df0dT, evap, dEvdT, |
|
|
I i,j,bi,bj,myThid ) |
|
|
ENDIF |
|
|
ELSE |
|
|
flxExceptSw = flxExSW(i,j,1) |
|
|
df0dT = flxExSW(i,j,2) |
|
|
ENDIF |
|
|
flx0 = fswdn + flxExceptSw |
|
|
#ifdef ALLOW_DBUG_THSICE |
|
|
IF ( dBug(i,j,bi,bj) ) WRITE(6,1020) |
|
|
& 'ThSI_SOLVE4T: flx0,df0dT,k12,D=', flx0,df0dT,k12,k12-df0dT |
|
391 |
#endif |
#endif |
392 |
|
|
393 |
C Compute new top layer and surface temperatures. |
C ----- begin iteration ----- |
394 |
C If Tsfc is computed to be > 0 C, fix Tsfc = 0 and recompute T1 |
DO k = 1,iterMax |
395 |
C with different coefficients. |
#ifndef ALLOW_AUTODIFF_TAMC |
396 |
|
IF ( iterate4Tsf ) THEN |
397 |
|
iterate4Tsf = .FALSE. |
398 |
|
#endif |
399 |
|
|
400 |
|
IF ( useBlkFlx ) THEN |
401 |
|
C-- Compute top surface flux. |
402 |
|
IF ( useEXF ) THEN |
403 |
|
CALL THSICE_GET_EXF( bi, bj, |
404 |
|
I iMin, iMax, jMin, jMax, |
405 |
|
I iceFlag, hSnow, Tsf, |
406 |
|
O flxTexSW, dFlxdT, evapT, dEvdT, |
407 |
|
I myTime, myIter, myThid ) |
408 |
|
C- could add this "ifdef" to hide THSICE_GET_BULKF from TAF |
409 |
|
#ifdef ALLOW_BULK_FORCE |
410 |
|
ELSEIF ( useBulkForce ) THEN |
411 |
|
CALL THSICE_GET_BULKF( bi, bj, |
412 |
|
I iMin, iMax, jMin, jMax, |
413 |
|
I iceFlag, hSnow, Tsf, |
414 |
|
O flxTexSW, dFlxdT, evapT, dEvdT, |
415 |
|
I myTime, myIter, myThid ) |
416 |
|
#endif /* ALLOW_BULK_FORCE */ |
417 |
|
ENDIF |
418 |
|
ELSE |
419 |
|
DO j = jMin, jMax |
420 |
|
DO i = iMin, iMax |
421 |
|
IF ( iceFlag(i,j) ) THEN |
422 |
|
flxTexSW(i,j) = flxExSW(i,j,1) |
423 |
|
dFlxdT(i,j) = flxExSW(i,j,2) |
424 |
|
ENDIF |
425 |
|
ENDDO |
426 |
|
ENDDO |
427 |
|
ENDIF |
428 |
|
|
429 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
430 |
CADJ STORE tsf = comlev1_thsice_3, key=ikey_3 |
CADJ STORE devdt(:,:) = comlev1_bibj,key=iicekey,byte=isbyte |
431 |
|
CADJ STORE dflxdt(:,:) = comlev1_bibj,key=iicekey,byte=isbyte |
432 |
|
CADJ STORE flxtexsw(:,:) = comlev1_bibj,key=iicekey,byte=isbyte |
433 |
|
CADJ STORE iceflag(:,:) = comlev1_bibj,key=iicekey,byte=isbyte |
434 |
|
CADJ STORE tsf(:,:) = comlev1_bibj,key=iicekey,byte=isbyte |
435 |
#endif |
#endif |
436 |
a1 = a10 - k12*df0dT / (k12-df0dT) |
|
437 |
b1 = b10 - k12*(flx0-df0dT*Tsf) / (k12-df0dT) |
C-- Compute new top layer and surface temperatures. |
438 |
Tice(1) = -(b1 + SQRT(b1*b1-4. _d 0*a1*c1))/(2. _d 0*a1) |
C If Tsfc is computed to be > 0 C, fix Tsfc = 0 and recompute T1 |
439 |
dTsf = (flx0 + k12*(Tice(1)-Tsf)) / (k12-df0dT) |
C with different coefficients. |
440 |
Tsf = Tsf + dTsf |
DO j = jMin, jMax |
441 |
IF (Tsf .GT. 0. _d 0) THEN |
DO i = iMin, iMax |
442 |
|
IF ( iceFlag(i,j) ) THEN |
443 |
|
flxNet = sHeat(i,j) + flxTexSW(i,j) |
444 |
#ifdef ALLOW_DBUG_THSICE |
#ifdef ALLOW_DBUG_THSICE |
445 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,1010) |
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,1020) |
446 |
& 'ThSI_SOLVE4T: k,ts,t1,dTs=', k,Tsf,Tice(1),dTsf |
& 'ThSI_SOLVE4T: flxNet,dFlxdT,k12,D=', |
447 |
|
& flxNet, dFlxdT(i,j), k12(i,j), k12(i,j)-dFlxdT(i,j) |
448 |
#endif |
#endif |
449 |
a1 = a10 + k12 |
|
450 |
b1 = b10 ! note b1 = b10 - k12*Tf0 |
a1 = a10(i,j) - k12(i,j)*dFlxdT(i,j) / (k12(i,j)-dFlxdT(i,j)) |
451 |
Tice(1) = (-b1 - SQRT(b1*b1-4. _d 0*a1*c1))/(2. _d 0*a1) |
b1 = b10(i,j) - k12(i,j)*(flxNet-dFlxdT(i,j)*Tsf(i,j)) |
452 |
Tsf = 0. _d 0 |
& /(k12(i,j)-dFlxdT(i,j)) |
453 |
|
c1 = c10(i,j) |
454 |
|
tIc1(i,j) = -(b1 + SQRT(b1*b1-4. _d 0*a1*c1))/(2. _d 0*a1) |
455 |
|
dTsrf(i,j) = (flxNet + k12(i,j)*(tIc1(i,j)-Tsf(i,j))) |
456 |
|
& /(k12(i,j)-dFlxdT(i,j)) |
457 |
|
Tsf(i,j) = Tsf(i,j) + dTsrf(i,j) |
458 |
|
IF ( Tsf(i,j) .GT. 0. _d 0 ) THEN |
459 |
|
#ifdef ALLOW_DBUG_THSICE |
460 |
|
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,1010) |
461 |
|
& 'ThSI_SOLVE4T: k,ts,t1,dTs=',k,Tsf(i,j),tIc1(i,j),dTsrf(i,j) |
462 |
|
#endif |
463 |
|
a1 = a10(i,j) + k12(i,j) |
464 |
|
C note: b1 = b10 - k12*Tf0 |
465 |
|
b1 = b10(i,j) |
466 |
|
tIc1(i,j) = (-b1 - SQRT(b1*b1-4. _d 0*a1*c1))/(2. _d 0*a1) |
467 |
|
Tsf(i,j) = 0. _d 0 |
468 |
IF ( useBlkFlx ) THEN |
IF ( useBlkFlx ) THEN |
469 |
IF (hs.GT.3. _d -1) THEN |
flxTexSW(i,j) = flx0exSW(i,j) |
470 |
iceornot=2 |
evapT(i,j) = evap0(i,j) |
471 |
ELSE |
dTsrf(i,j) = 0. _d 0 |
|
iceornot=1 |
|
|
ENDIF |
|
|
IF ( useBulkForce ) THEN |
|
|
CALL THSICE_GET_BULKF( |
|
|
I iceornot, Tsf, |
|
|
O flxExceptSw, df0dT, evap, dEvdT, |
|
|
I i,j,bi,bj,myThid ) |
|
|
ELSEIF ( useEXF ) THEN |
|
|
CALL THSICE_GET_EXF ( |
|
|
I iceornot, Tsf, |
|
|
O flxExceptSw, df0dT, evap, dEvdT, |
|
|
I i,j,bi,bj,myThid ) |
|
|
ENDIF |
|
|
dTsf = 0. _d 0 |
|
472 |
ELSE |
ELSE |
473 |
flxExceptSw = flxExSW(i,j,0) |
flxTexSW(i,j) = flxExSW(i,j,0) |
474 |
dTsf = 1000. |
dTsrf(i,j) = 1000. |
475 |
df0dT = 0. |
dFlxdT(i,j) = 0. |
476 |
ENDIF |
ENDIF |
477 |
flx0 = fswdn + flxExceptSw |
ENDIF |
|
ENDIF |
|
478 |
|
|
479 |
C Check for convergence. If no convergence, then repeat. |
C-- Check for convergence. If no convergence, then repeat. |
480 |
C |
iceFlag(i,j) = ABS(dTsrf(i,j)).GE.Terrmax |
481 |
C Convergence test: Make sure Tsfc has converged, within prescribed error. |
iterate4Tsf = iterate4Tsf .OR. iceFlag(i,j) |
482 |
C (Energy conservation is guaranteed within machine roundoff, even |
|
483 |
C if Tsfc has not converged.) |
C Convergence test: Make sure Tsfc has converged, within prescribed error. |
484 |
C If no convergence, then repeat. |
C (Energy conservation is guaranteed within machine roundoff, even |
485 |
|
C if Tsfc has not converged.) |
486 |
|
C If no convergence, then repeat. |
487 |
|
|
488 |
#ifdef ALLOW_DBUG_THSICE |
#ifdef ALLOW_DBUG_THSICE |
489 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,1010) |
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,1010) |
490 |
& 'ThSI_SOLVE4T: k,ts,t1,dTs=', k,Tsf,Tice(1),dTsf |
& 'ThSI_SOLVE4T: k,ts,t1,dTs=', k,Tsf(i,j),tIc1(i,j),dTsrf(i,j) |
491 |
|
IF ( useBlkFlx .AND. k.EQ.nitMaxTsf .AND. iceFlag(i,j) ) THEN |
492 |
|
WRITE(stdUnit,'(A,4I4,I12,F15.9)') |
493 |
|
& ' BB: not converge: i,j,it,hi=',i,j,bi,bj,myIter,hIce(i,j) |
494 |
|
WRITE(stdUnit,*) |
495 |
|
& 'BB: not converge: Tsf, dTsf=', Tsf(i,j), dTsrf(i,j) |
496 |
|
WRITE(stdUnit,*) |
497 |
|
& 'BB: not converge: flxNet,dFlxT=', flxNet, dFlxdT(i,j) |
498 |
|
IF ( Tsf(i,j).LT.-70. _d 0 ) THEN |
499 |
|
WRITE( msgBuf, '(A,2I4,2I3,I10,F12.3)') |
500 |
|
& 'THSICE_SOLVE4TEMP: Too low Tsf in', i, j, bi, bj, |
501 |
|
& myIter, Tsf(i,j) |
502 |
|
CALL PRINT_ERROR( msgBuf , myThid ) |
503 |
|
STOP 'ABNORMAL END: S/R THSICE_SOLVE4TEMP' |
504 |
|
ENDIF |
505 |
|
ENDIF |
506 |
#endif |
#endif |
|
IF ( useBlkFlx .AND. k.EQ.nitMaxTsf |
|
|
& .AND. ABS(dTsf).GE.Terrmax ) THEN |
|
|
WRITE (6,'(A,4I4,I12,F15.9)') |
|
|
& ' BB: not converge: i,j,it,hi=',i,j,bi,bj, |
|
|
& myIter,hi |
|
|
WRITE (6,*) 'BB: not converge: Tsf, dTsf=', Tsf,dTsf |
|
|
WRITE (6,*) 'BB: not converge: flx0,dfdT=',flx0,df0dT |
|
|
IF (Tsf.LT.-70. _d 0) STOP |
|
|
ENDIF |
|
507 |
|
|
508 |
|
ENDIF |
509 |
|
ENDDO |
510 |
|
ENDDO |
511 |
|
#ifndef ALLOW_AUTODIFF_TAMC |
512 |
ENDIF |
ENDIF |
513 |
|
#endif |
514 |
ENDDO |
ENDDO |
515 |
C ------ end iteration ------------ |
C ------ end iteration ------------ |
516 |
|
|
517 |
C Compute new bottom layer temperature. |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-| |
518 |
|
|
519 |
#ifdef ALLOW_AUTODIFF_TAMC |
DO j = jMin, jMax |
520 |
CADJ STORE Tice(:) = comlev1_thsice_1, key=ikey_1 |
DO i = iMin, iMax |
521 |
CADJ STORE df0dt = comlev1_thsice_1, key=ikey_1 |
IF ( iceMask(i,j).GT.0. _d 0 ) THEN |
522 |
#endif |
|
523 |
Tice(2) = (2. _d 0*dt*k32*(Tice(1)+2. _d 0*Tf) |
C-- Compute new bottom layer temperature. |
524 |
& + rhoi*cpIce *hi*Tice(2)) |
k32 = 2. _d 0*kIce / hIce(i,j) |
525 |
& /(6. _d 0*dt*k32 + rhoi*cpIce *hi) |
tIc2(i,j) = ( 2. _d 0*dt*k32*(tIc1(i,j)+2. _d 0*tFrz(i,j)) |
526 |
|
& + rhoi*cpIce*hIce(i,j)*tIc2(i,j)) |
527 |
|
& /(6. _d 0*dt*k32 + rhoi*cpIce*hIce(i,j)) |
528 |
#ifdef ALLOW_DBUG_THSICE |
#ifdef ALLOW_DBUG_THSICE |
529 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,1010) |
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,1010) |
530 |
& 'ThSI_SOLVE4T: k, Ts, Tice=',k,Tsf,Tice |
& 'ThSI_SOLVE4T: k, Ts, Tice=',k,Tsf(i,j),tIc1(i,j),tIc2(i,j) |
531 |
|
netSW = flxAtm(i,j) |
532 |
#endif |
#endif |
533 |
|
|
534 |
C Compute final flux values at surfaces. |
C-- Compute final flux values at surfaces. |
535 |
|
tSrf(i,j) = Tsf(i,j) |
536 |
fct = k12*(Tsf-Tice(1)) |
fct = k12(i,j)*(Tsf(i,j)-tIc1(i,j)) |
537 |
flxCnB(i,j) = 4. _d 0*kIce *(Tice(2)-Tf)/hi |
flxCnB(i,j) = 4. _d 0*kIce *(tIc2(i,j)-tFrz(i,j))/hIce(i,j) |
538 |
flx0 = flx0 + df0dT*dTsf |
flxNet = sHeat(i,j) + flxTexSW(i,j) |
539 |
IF ( useBlkFlx ) THEN |
flxNet = flxNet + dFlxdT(i,j)*dTsrf(i,j) |
540 |
C-- needs to update also Evap (Tsf changes) since Latent heat has been updated |
IF ( useBlkFlx ) THEN |
541 |
evpAtm(i,j) = evap + dEvdT*dTsf |
C- needs to update also Evap (Tsf changes) since Latent heat has been updated |
542 |
ELSE |
evpAtm(i,j) = evapT(i,j) + dEvdT(i,j)*dTsrf(i,j) |
543 |
|
ELSE |
544 |
C- WARNING: Evap & +Evap*Lfresh are missing ! (but only affects Diagnostics) |
C- WARNING: Evap & +Evap*Lfresh are missing ! (but only affects Diagnostics) |
545 |
evpAtm(i,j) = 0. |
evpAtm(i,j) = 0. |
546 |
ENDIF |
ENDIF |
547 |
C- energy flux to Atmos: use net short-wave flux at surf. and |
C- Update energy flux to Atmos with other than SW contributions; |
548 |
C use latent heat = Lvap (energy=0 for liq. water at 0.oC) |
C use latent heat = Lvap (energy=0 for liq. water at 0.oC) |
549 |
flxAtm(i,j) = netSW + flxExceptSw |
flxAtm(i,j) = flxAtm(i,j) + flxTexSW(i,j) |
550 |
& + df0dT*dTsf + evpAtm(i,j)*Lfresh |
& + dFlxdT(i,j)*dTsrf(i,j) + evpAtm(i,j)*Lfresh |
551 |
C- excess of energy @ surface (used for surface melting): |
C- excess of energy @ surface (used for surface melting): |
552 |
sHeat(i,j) = flx0 - fct |
sHeat(i,j) = flxNet - fct |
|
|
|
|
C- SW flux at sea-ice base left to the ocean |
|
|
flxSW(i,j) = fswocn |
|
553 |
|
|
554 |
#ifdef ALLOW_DBUG_THSICE |
#ifdef ALLOW_DBUG_THSICE |
555 |
IF ( dBug(i,j,bi,bj) ) WRITE(6,1020) |
IF ( dBug(i,j,bi,bj) ) WRITE(stdUnit,1020) |
556 |
& 'ThSI_SOLVE4T: flx0,fct,Dif,flxCnB=', |
& 'ThSI_SOLVE4T: flxNet,fct,Dif,flxCnB=', |
557 |
& flx0,fct,flx0-fct,flxCnB(i,j) |
& flxNet,fct,flxNet-fct,flxCnB(i,j) |
558 |
#endif |
#endif |
559 |
|
|
560 |
C Compute new enthalpy for each layer. |
C-- Compute new enthalpy for each layer. |
561 |
|
qIc1(i,j) = -cpWater*Tmlt1 + cpIce *(Tmlt1-tIc1(i,j)) |
562 |
|
& + Lfresh*(1. _d 0-Tmlt1/tIc1(i,j)) |
563 |
|
qIc2(i,j) = -cpIce *tIc2(i,j) + Lfresh |
564 |
|
|
|
qicen(1) = -cpWater*Tmlt1 + cpIce *(Tmlt1-Tice(1)) |
|
|
& + Lfresh*(1. _d 0-Tmlt1/Tice(1)) |
|
|
qicen(2) = -cpIce *Tice(2) + Lfresh |
|
|
|
|
|
C Make sure internal ice temperatures do not exceed Tmlt. |
|
|
C (This should not happen for reasonable values of i0swFrac) |
|
|
|
|
|
IF (Tice(1) .GE. Tmlt1) THEN |
|
|
WRITE (6,'(A,2I4,2I3,1P2E14.6)') |
|
|
& ' BBerr - Bug: IceT(1) > Tmlt',i,j,bi,bj,Tice(1),Tmlt1 |
|
|
ENDIF |
|
|
IF (Tice(2) .GE. 0. _d 0) THEN |
|
|
WRITE (6,'(A,2I4,2I3,1P2E14.6)') |
|
|
& ' BBerr - Bug: IceT(2) > 0',i,j,bi,bj,Tice(2) |
|
|
ENDIF |
|
|
|
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
|
|
C-- Update Sea-Ice state : |
|
|
tSrf(i,j) = Tsf |
|
|
tIc1(i,j) = Tice(1) |
|
|
tic2(i,j) = Tice(2) |
|
|
qIc1(i,j) = qicen(1) |
|
|
qIc2(i,j) = qicen(2) |
|
|
c dTsrf(i,j) = dTsf |
|
|
IF ( .NOT.useBlkFlx ) dTsrf(i,j) = dTsf |
|
|
c sHeat(i,j) = sHeating |
|
|
c flxCnB(i,j)= flxCnB |
|
|
c flxAtm(i,j)= flxAtm |
|
|
c evpAtm(i,j)= evpAtm |
|
565 |
#ifdef ALLOW_DBUG_THSICE |
#ifdef ALLOW_DBUG_THSICE |
566 |
|
C-- Make sure internal ice temperatures do not exceed Tmlt. |
567 |
|
C (This should not happen for reasonable values of i0swFrac) |
568 |
|
IF (tIc1(i,j) .GE. Tmlt1) THEN |
569 |
|
WRITE(stdUnit,'(A,2I4,2I3,1P2E14.6)') |
570 |
|
& ' BBerr - Bug: IceT(1) > Tmlt',i,j,bi,bj,tIc1(i,j),Tmlt1 |
571 |
|
ENDIF |
572 |
|
IF (tIc2(i,j) .GE. 0. _d 0) THEN |
573 |
|
WRITE(stdUnit,'(A,2I4,2I3,1P2E14.6)') |
574 |
|
& ' BBerr - Bug: IceT(2) > 0',i,j,bi,bj,tIc2(i,j) |
575 |
|
ENDIF |
576 |
|
|
577 |
IF ( dBug(i,j,bi,bj) ) THEN |
IF ( dBug(i,j,bi,bj) ) THEN |
578 |
WRITE(6,1020) 'ThSI_SOLV_4T: Tsf, Tice(1,2), dTsurf=', |
WRITE(stdUnit,1020) 'ThSI_SOLV_4T: Tsf, Tice(1,2), dTsurf=', |
579 |
& Tsf, Tice, dTsf |
& Tsf(i,j), tIc1(i,j), tIc2(i,j), dTsrf(i,j) |
580 |
WRITE(6,1020) 'ThSI_SOLV_4T: sHeat, flxCndBt, Qice =', |
WRITE(stdUnit,1020) 'ThSI_SOLV_4T: sHeat, flxCndBt, Qice =', |
581 |
& sHeat(i,j), flxCnB(i,j), qicen |
& sHeat(i,j), flxCnB(i,j), qIc1(i,j), qIc2(i,j) |
582 |
WRITE(6,1020) 'ThSI_SOLV_4T: flxA, evpA, fxSW_bf,af=', |
WRITE(stdUnit,1020) 'ThSI_SOLV_4T: flxA, evpA, fxSW_bf,af=', |
583 |
& flxAtm(i,j), evpAtm(i,j), netSW, flxSW(i,j) |
& flxAtm(i,j), evpAtm(i,j), netSW, flxSW(i,j) |
584 |
ENDIF |
ENDIF |
585 |
#endif |
#endif |
586 |
|
|
587 |
ELSE |
ELSE |
588 |
IF ( .NOT.useBlkFlx ) dTsrf(i,j) = 0. _d 0 |
C-- ice-free grid point: |
589 |
|
c tIc1 (i,j) = 0. _d 0 |
590 |
|
c tIc2 (i,j) = 0. _d 0 |
591 |
|
dTsrf (i,j) = 0. _d 0 |
592 |
|
c sHeat (i,j) = 0. _d 0 |
593 |
|
c flxCnB(i,j) = 0. _d 0 |
594 |
|
c flxAtm(i,j) = 0. _d 0 |
595 |
|
c evpAtm(i,j) = 0. _d 0 |
596 |
|
|
597 |
ENDIF |
ENDIF |
598 |
ENDDO |
ENDDO |
599 |
ENDDO |
ENDDO |
600 |
#endif /* ALLOW_THSICE */ |
#endif /* ALLOW_THSICE */ |
601 |
|
|
602 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-| |
603 |
|
|
604 |
RETURN |
RETURN |
605 |
END |
END |