1 |
C $Header: /u/gcmpack/MITgcm/pkg/seaice/budget.F,v 1.11 2003/10/09 04:19:20 edhill Exp $ |
2 |
C $Name: $ |
3 |
|
4 |
#include "SEAICE_OPTIONS.h" |
5 |
|
6 |
CStartOfInterface |
7 |
SUBROUTINE BUDGET(UG, TICE, HICE1, FICE1, KOPEN, bi, bj) |
8 |
C /==========================================================\ |
9 |
C | SUBROUTINE budget | |
10 |
C | o Calculate ice growth rate | |
11 |
C | see Hibler, MWR, 108, 1943-1973, 1980 | |
12 |
C |==========================================================| |
13 |
C \==========================================================/ |
14 |
IMPLICIT NONE |
15 |
|
16 |
C === Global variables === |
17 |
#include "SIZE.h" |
18 |
#include "EEPARAMS.h" |
19 |
#include "FFIELDS.h" |
20 |
#include "SEAICE_PARAMS.h" |
21 |
#include "SEAICE_FFIELDS.h" |
22 |
|
23 |
C Subset of variables from SEAICE.h |
24 |
_RL HEFF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,3,nSx,nSy) |
25 |
_RL HSNOW (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
26 |
_RL QNETO (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
27 |
_RL QNETI (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
28 |
_RL QSWO (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
29 |
_RL QSWI (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
30 |
COMMON/TRANS/HEFF,HSNOW |
31 |
COMMON/QFLUX/QNETO,QNETI,QSWO,QSWI |
32 |
|
33 |
C === Routine arguments === |
34 |
_RL UG (1-OLx:sNx+OLx, 1-OLy:sNy+OLy) |
35 |
_RL TICE (1-OLx:sNx+OLx, 1-OLy:sNy+OLy, nSx,nSy) |
36 |
_RL HICE1 (1-OLx:sNx+OLx, 1-OLy:sNy+OLy) |
37 |
_RL FICE1 (1-OLx:sNx+OLx, 1-OLy:sNy+OLy, nSx,nSy) |
38 |
INTEGER KOPEN |
39 |
INTEGER bi, bj |
40 |
CEndOfInterface |
41 |
|
42 |
#ifdef ALLOW_SEAICE |
43 |
|
44 |
C === Local variables === |
45 |
C i,j,k,bi,bj - Loop counters |
46 |
|
47 |
INTEGER i, j |
48 |
INTEGER ITER |
49 |
_RL QS1, C1, C2, C3, C4, C5, TB, D1, D1W, D1I, D3 |
50 |
_RL TMELT, TMELTP, XKI, XKS, HCUT, ASNOW, XIO |
51 |
|
52 |
_RL HICE (1-OLx:sNx+OLx, 1-OLy:sNy+OLy) |
53 |
_RL ALB (1-OLx:sNx+OLx, 1-OLy:sNy+OLy) |
54 |
_RL A1 (1-OLx:sNx+OLx, 1-OLy:sNy+OLy) |
55 |
_RL A2 (1-OLx:sNx+OLx, 1-OLy:sNy+OLy) |
56 |
_RL A3 (1-OLx:sNx+OLx, 1-OLy:sNy+OLy) |
57 |
_RL B (1-OLx:sNx+OLx, 1-OLy:sNy+OLy) |
58 |
|
59 |
_RL mymin_R8, mymax_R8 |
60 |
external mymin_R8, mymax_R8 |
61 |
|
62 |
C IF KOPEN LT 0, THEN DO OPEN WATER BUDGET |
63 |
C NOW DEFINE ASSORTED CONSTANTS |
64 |
C SATURATION VAPOR PRESSURE CONSTANT |
65 |
QS1=0.622 _d +00/1013.0 _d +00 |
66 |
C MAYKUTS CONSTANTS FOR SAT. VAP. PRESSURE TEMP. POLYNOMIAL |
67 |
C1=2.7798202 _d -06 |
68 |
C2=-2.6913393 _d -03 |
69 |
C3=0.97920849 _d +00 |
70 |
C4=-158.63779 _d +00 |
71 |
C5=9653.1925 _d +00 |
72 |
C FREEZING TEMPERATURE OF SEAWATER |
73 |
TB=271.2 _d +00 |
74 |
C SENSIBLE HEAT CONSTANT |
75 |
D1=SEAICE_sensHeat |
76 |
C WATER LATENT HEAT CONSTANT |
77 |
D1W=SEAICE_latentWater |
78 |
C ICE LATENT HEAT CONSTANT |
79 |
D1I=SEAICE_latentIce |
80 |
C STEFAN BOLTZMAN CONSTANT TIMES 0.97 EMISSIVITY |
81 |
D3=SEAICE_emissivity |
82 |
C MELTING TEMPERATURE OF ICE |
83 |
TMELT=273.16 _d +00 |
84 |
TMELTP=273.159 _d +00 |
85 |
C ICE CONDUCTIVITY |
86 |
XKI=SEAICE_iceConduct |
87 |
C SNOW CONDUCTIVITY |
88 |
XKS=SEAICE_snowConduct |
89 |
C CUTOFF SNOW THICKNESS |
90 |
HCUT=SEAICE_snowThick |
91 |
C PENETRATION SHORTWAVE RADIATION FACTOR |
92 |
XIO=SEAICE_shortwave |
93 |
|
94 |
DO J=1,sNy |
95 |
DO I=1,sNx |
96 |
TICE(I,J,bi,bj)=MYMIN_R8(273.16 _d 0+MAX_TICE,TICE(I,J,bi,bj)) |
97 |
ATEMP(I,J,bi,bj)=MYMAX_R8(273.16 _d 0+MIN_ATEMP,ATEMP(I,J,bi,bj)) |
98 |
LWDOWN(I,J,bi,bj)=MYMAX_R8(MIN_LWDOWN,LWDOWN(I,J,bi,bj)) |
99 |
ENDDO |
100 |
ENDDO |
101 |
|
102 |
C NOW DECIDE IF OPEN WATER OR ICE |
103 |
IF(KOPEN.LE.0) THEN |
104 |
|
105 |
C NOW DETERMINE OPEN WATER HEAT BUD. ASSUMING TICE=WATER TEMP. |
106 |
C WATER ALBEDO IS ASSUMED TO BE THE CONSTANT SEAICE_waterAlbedo |
107 |
DO J=1,sNy |
108 |
DO I=1,sNx |
109 |
#ifdef SEAICE_EXTERNAL_FLUXES |
110 |
FICE1(I,J,bi,bj)=QNET(I,J,bi,bj)+Qsw(I,J,bi,bj) |
111 |
QSWO(I,J,bi,bj)=Qsw(I,J,bi,bj) |
112 |
#else /* SEAICE_EXTERNAL_FLUXES undefined */ |
113 |
ALB(I,J)=SEAICE_waterAlbedo |
114 |
A1(I,J)=(ONE-ALB(I,J))*SWDOWN(I,J,bi,bj) |
115 |
& +LWDOWN(I,J,bi,bj)*0.97 _d 0 |
116 |
& +D1*UG(I,J)*ATEMP(I,J,bi,bj)+D1W*UG(I,J)*AQH(I,J,bi,bj) |
117 |
B(I,J)=QS1*6.11 _d +00*EXP(17.2694 _d +00 |
118 |
& *(TICE(I,J,bi,bj)-TMELT) |
119 |
& /(TICE(I,J,bi,bj)-TMELT+237.3 _d +00)) |
120 |
A2(I,J)=-D1*UG(I,J)*TICE(I,J,bi,bj)-D1W*UG(I,J)*B(I,J) |
121 |
& -D3*(TICE(I,J,bi,bj)**4) |
122 |
FICE1(I,J,bi,bj)=-A1(I,J)-A2(I,J) |
123 |
QSWO(I,J,bi,bj)=-(ONE-ALB(I,J))*SWDOWN(I,J,bi,bj) |
124 |
#endif /* SEAICE_EXTERNAL_FLUXES */ |
125 |
QNETO(I,J,bi,bj)=FICE1(I,J,bi,bj)-QSWO(I,J,bi,bj) |
126 |
ENDDO |
127 |
ENDDO |
128 |
|
129 |
ELSE |
130 |
|
131 |
C COME HERE IF ICE COVER |
132 |
C FIRST PUT MINIMUM ON ICE THICKNESS |
133 |
DO J=1,sNy |
134 |
DO I=1,sNx |
135 |
HICE(I,J)=MYMAX_R8(HICE1(I,J),0.05 _d +00) |
136 |
HICE(I,J)=MYMIN_R8(HICE(I,J),9.0 _d +00) |
137 |
ENDDO |
138 |
ENDDO |
139 |
C NOW DECIDE ON ALBEDO |
140 |
DO J=1,sNy |
141 |
DO I=1,sNx |
142 |
ALB(I,J)=SEAICE_dryIceAlb |
143 |
IF(TICE(I,J,bi,bj).GT.TMELTP) ALB(I,J)=SEAICE_wetIceAlb |
144 |
ASNOW=SEAICE_drySnowAlb |
145 |
IF(TICE(I,J,bi,bj).GT.TMELTP) ASNOW=SEAICE_wetSnowAlb |
146 |
IF(HSNOW(I,J,bi,bj).GT.HCUT) THEN |
147 |
ALB(I,J)=ASNOW |
148 |
ELSE |
149 |
ALB(I,J)=ALB(I,J)+(HSNOW(I,J,bi,bj)/HCUT)*(ASNOW-ALB(I,J)) |
150 |
IF(ALB(I,J).GT.ASNOW) ALB(I,J)=ASNOW |
151 |
END IF |
152 |
ENDDO |
153 |
ENDDO |
154 |
C NOW DETERMINE FIXED FORCING TERM IN HEAT BUDGET |
155 |
DO J=1,sNy |
156 |
DO I=1,sNx |
157 |
IF(HSNOW(I,J,bi,bj).GT.0.0) THEN |
158 |
C NO SW PENETRATION WITH SNOW |
159 |
A1(I,J)=(ONE-ALB(I,J))*SWDOWN(I,J,bi,bj) |
160 |
& +LWDOWN(I,J,bi,bj)*0.97 _d 0 |
161 |
& +D1*UG(I,J)*ATEMP(I,J,bi,bj)+D1I*UG(I,J)*AQH(I,J,bi,bj) |
162 |
ELSE |
163 |
C SW PENETRATION UNDER ICE |
164 |
A1(I,J)=(ONE-ALB(I,J))*SWDOWN(I,J,bi,bj) |
165 |
& *(ONE-XIO*EXP(-1.5 _d 0*HICE(I,J))) |
166 |
& +LWDOWN(I,J,bi,bj)*0.97 _d 0 |
167 |
& +D1*UG(I,J)*ATEMP(I,J,bi,bj)+D1I*UG(I,J)*AQH(I,J,bi,bj) |
168 |
ENDIF |
169 |
ENDDO |
170 |
ENDDO |
171 |
C NOW COMPUTE OTHER TERMS IN HEAT BUDGET |
172 |
C COME HERE AT START OF ITERATION |
173 |
|
174 |
crg check wether a2 is needed in the list of variables |
175 |
cdm Ralf, the line below causes following error message |
176 |
cdm INTERNAL ERROR: cannot find var clone to ada2 |
177 |
cdm c$taf loop = iteration TICE,A2 |
178 |
cdm iterative solver for ice growth rate |
179 |
cdm inputs: TICE ice temperature |
180 |
cdm UG forcing |
181 |
cdm HSNOW snow thickness |
182 |
cdm HICE ice thickness |
183 |
cdm outputs: A2 is needed for FICE1, which is ice growth rate |
184 |
cdm TICE |
185 |
DO ITER=1,IMAX_TICE |
186 |
|
187 |
DO J=1,sNy |
188 |
DO I=1,sNx |
189 |
B(I,J)=QS1*(C1*TICE(I,J,bi,bj)**4+C2*TICE(I,J,bi,bj)**3 |
190 |
& +C3*TICE(I,J,bi,bj)**2+C4*TICE(I,J,bi,bj)+C5) |
191 |
A2(I,J)=-D1*UG(I,J)*TICE(I,J,bi,bj)-D1I*UG(I,J)*B(I,J) |
192 |
& -D3*(TICE(I,J,bi,bj)**4) |
193 |
B(I,J)=XKS/(HSNOW(I,J,bi,bj)/HICE(I,J)+XKS/XKI)/HICE(I,J) |
194 |
A3(I,J)=4.0 _d +00*D3*(TICE(I,J,bi,bj)**3)+B(I,J)+D1*UG(I,J) |
195 |
B(I,J)=B(I,J)*(TB-TICE(I,J,bi,bj)) |
196 |
cdm |
197 |
cdm if(TICE(I,J,bi,bj).le.206.) |
198 |
cdm & print '(A,3i4,f12.2)','### ITER,I,J,TICE', |
199 |
cdm & ITER,I,J,TICE(I,J,bi,bj) |
200 |
cdm |
201 |
ENDDO |
202 |
ENDDO |
203 |
C NOW DECIDE IF IT IS TIME TO ESTIMATE GROWTH RATES |
204 |
C NOW DETERMINE NEW ICE TEMPERATURE |
205 |
DO J=1,sNy |
206 |
DO I=1,sNx |
207 |
TICE(I,J,bi,bj)=TICE(I,J,bi,bj) |
208 |
& +(A1(I,J)+A2(I,J)+B(I,J))/A3(I,J) |
209 |
TICE(I,J,bi,bj)=MYMAX_R8(273.16 _d 0+MIN_TICE,TICE(I,J,bi,bj)) |
210 |
ENDDO |
211 |
ENDDO |
212 |
C NOW SET ICE TEMP TO MIN OF TMELT/ITERATION RESULT |
213 |
DO J=1,sNy |
214 |
DO I=1,sNx |
215 |
TICE(I,J,bi,bj)=MYMIN_R8(TICE(I,J,bi,bj),TMELT) |
216 |
ENDDO |
217 |
ENDDO |
218 |
|
219 |
C END OF ITERATION |
220 |
ENDDO |
221 |
|
222 |
DO J=1,sNy |
223 |
DO I=1,sNx |
224 |
FICE1(I,J,bi,bj)=-A1(I,J)-A2(I,J) |
225 |
IF(HSNOW(I,J,bi,bj).GT.0.0) THEN |
226 |
C NO SW PENETRATION WITH SNOW |
227 |
QSWI(I,J,bi,bj)=ZERO |
228 |
ELSE |
229 |
C SW PENETRATION UNDER ICE |
230 |
QSWI(I,J,bi,bj)=-(ONE-ALB(I,J))*SWDOWN(I,J,bi,bj) |
231 |
& *XIO*EXP(-1.5 _d 0*HICE(I,J)) |
232 |
ENDIF |
233 |
ENDDO |
234 |
ENDDO |
235 |
|
236 |
END IF |
237 |
|
238 |
#endif /* ALLOW_SEAICE */ |
239 |
|
240 |
RETURN |
241 |
END |