| 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 |
Parent Directory
| 
Revision Log
| 
Revision Graph