1 |
mlosch |
1.17 |
C $Header: /u/gcmpack/MITgcm/pkg/seaice/dynsolver.F,v 1.16 2006/02/15 09:04:37 mlosch Exp $ |
2 |
edhill |
1.11 |
C $Name: $ |
3 |
heimbach |
1.2 |
|
4 |
|
|
#include "SEAICE_OPTIONS.h" |
5 |
dimitri |
1.8 |
|
6 |
heimbach |
1.2 |
CStartOfInterface |
7 |
|
|
SUBROUTINE dynsolver( myTime, myIter, myThid ) |
8 |
|
|
C /==========================================================\ |
9 |
|
|
C | SUBROUTINE dynsolver | |
10 |
dimitri |
1.12 |
C | o Ice dynamics using LSR solver | |
11 |
|
|
C | Zhang and Hibler, JGR, 102, 8691-8702, 1997 | |
12 |
heimbach |
1.2 |
C |==========================================================| |
13 |
|
|
C \==========================================================/ |
14 |
|
|
IMPLICIT NONE |
15 |
dimitri |
1.8 |
|
16 |
heimbach |
1.2 |
C === Global variables === |
17 |
|
|
#include "SIZE.h" |
18 |
|
|
#include "EEPARAMS.h" |
19 |
|
|
#include "PARAMS.h" |
20 |
mlosch |
1.16 |
#include "GRID.h" |
21 |
heimbach |
1.2 |
#include "FFIELDS.h" |
22 |
|
|
#include "SEAICE.h" |
23 |
mlosch |
1.16 |
CML#include "SEAICE_GRID.h" |
24 |
heimbach |
1.2 |
#include "SEAICE_PARAMS.h" |
25 |
|
|
#include "SEAICE_FFIELDS.h" |
26 |
|
|
|
27 |
dimitri |
1.3 |
#ifdef ALLOW_AUTODIFF_TAMC |
28 |
|
|
# include "tamc.h" |
29 |
dimitri |
1.5 |
#endif |
30 |
dimitri |
1.3 |
|
31 |
heimbach |
1.2 |
C === Routine arguments === |
32 |
|
|
C myTime - Simulation time |
33 |
|
|
C myIter - Simulation timestep number |
34 |
|
|
C myThid - Thread no. that called this routine. |
35 |
|
|
_RL myTime |
36 |
|
|
INTEGER myIter |
37 |
|
|
INTEGER myThid |
38 |
|
|
CEndOfInterface |
39 |
dimitri |
1.8 |
|
40 |
heimbach |
1.2 |
C === Local variables === |
41 |
dimitri |
1.4 |
C i,j,bi,bj - Loop counters |
42 |
heimbach |
1.2 |
|
43 |
dimitri |
1.4 |
INTEGER i, j, bi, bj, kii |
44 |
dimitri |
1.14 |
_RL RHOICE, RHOAIR, SINWIN, COSWIN, SINWAT, COSWAT |
45 |
mlosch |
1.17 |
_RL ECCEN, ECM2, DELT1, DELT2, PSTAR, AAA |
46 |
dimitri |
1.10 |
_RL TEMPVAR, U1, V1 |
47 |
heimbach |
1.2 |
|
48 |
|
|
_RL PRESS (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
49 |
dimitri |
1.8 |
_RL PRESS0 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
50 |
dimitri |
1.5 |
_RL DAIRN (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
51 |
heimbach |
1.2 |
_RL DWATN (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
52 |
|
|
_RL FORCEX0 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
53 |
|
|
_RL FORCEY0 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
54 |
|
|
_RL E11 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
55 |
|
|
_RL E22 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
56 |
|
|
_RL E12 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
57 |
|
|
_RL COR_ICE (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
58 |
|
|
_RL ZMAX (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
59 |
|
|
_RL ZMIN (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
60 |
|
|
|
61 |
dimitri |
1.4 |
C-- FIRST SET UP BASIC CONSTANTS |
62 |
dimitri |
1.3 |
RHOICE=0.91 _d +03 |
63 |
|
|
RHOAIR=1.3 _d 0 |
64 |
dimitri |
1.4 |
ECCEN=TWO |
65 |
|
|
ECM2=ONE/(ECCEN**2) |
66 |
|
|
PSTAR=SEAICE_strength |
67 |
|
|
|
68 |
|
|
C-- 25 DEG GIVES SIN EQUAL TO 0.4226 |
69 |
dimitri |
1.3 |
SINWIN=0.4226 _d 0 |
70 |
|
|
COSWIN=0.9063 _d 0 |
71 |
|
|
SINWAT=0.4226 _d 0 |
72 |
|
|
COSWAT=0.9063 _d 0 |
73 |
dimitri |
1.4 |
|
74 |
|
|
C-- Do not introduce turning angle |
75 |
dimitri |
1.3 |
SINWIN=ZERO |
76 |
|
|
COSWIN=ONE |
77 |
|
|
SINWAT=ZERO |
78 |
|
|
COSWAT=ONE |
79 |
|
|
|
80 |
dimitri |
1.4 |
C-- NOW SET UP MASS PER UNIT AREA AND CORIOLIS TERM |
81 |
heimbach |
1.2 |
DO bj=myByLo(myThid),myByHi(myThid) |
82 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
83 |
|
|
DO j=1,sNy |
84 |
|
|
DO i=1,sNx |
85 |
mlosch |
1.16 |
AMASS(I,J,bi,bj)=RHOICE*QUART*( |
86 |
|
|
& HEFF(i,j ,1,bi,bj) + HEFF(i-1,j ,1,bi,bj) |
87 |
|
|
& +HEFF(i,j-1,1,bi,bj) + HEFF(i-1,j-1,1,bi,bj) ) |
88 |
|
|
COR_ICE(I,J,bi,bj)=AMASS(I,J,bi,bj) * _fCoriG(I,J,bi,bj) |
89 |
dimitri |
1.4 |
ENDDO |
90 |
|
|
ENDDO |
91 |
|
|
ENDDO |
92 |
|
|
ENDDO |
93 |
|
|
|
94 |
|
|
C-- NOW SET UP FORCING FIELDS |
95 |
|
|
|
96 |
dimitri |
1.10 |
C-- Wind stress is computed on South-West B-grid U/V |
97 |
|
|
C locations from wind on tracer locations |
98 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
99 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
100 |
|
|
DO j=1,sNy |
101 |
|
|
DO i=1,sNx |
102 |
|
|
U1=QUART*(UWIND(I-1,J-1,bi,bj)+UWIND(I-1,J,bi,bj) |
103 |
|
|
& +UWIND(I ,J-1,bi,bj)+UWIND(I ,J,bi,bj)) |
104 |
|
|
V1=QUART*(VWIND(I-1,J-1,bi,bj)+VWIND(I-1,J,bi,bj) |
105 |
|
|
& +VWIND(I ,J-1,bi,bj)+VWIND(I ,J,bi,bj)) |
106 |
|
|
AAA=U1**2+V1**2 |
107 |
|
|
IF ( AAA .LE. SEAICE_EPS_SQ ) THEN |
108 |
|
|
AAA=SEAICE_EPS |
109 |
|
|
ELSE |
110 |
|
|
AAA=SQRT(AAA) |
111 |
|
|
ENDIF |
112 |
dimitri |
1.8 |
C first ocean surface stress |
113 |
dimitri |
1.10 |
DAIRN(I,J,bi,bj)=RHOAIR*OCEAN_drag |
114 |
|
|
& *(2.70 _d 0+0.142 _d 0*AAA+0.0764 _d 0*AAA*AAA) |
115 |
|
|
WINDX(I,J,bi,bj)=DAIRN(I,J,bi,bj)*(COSWIN*U1-SINWIN*V1) |
116 |
|
|
WINDY(I,J,bi,bj)=DAIRN(I,J,bi,bj)*(SINWIN*U1+COSWIN*V1) |
117 |
dimitri |
1.8 |
|
118 |
|
|
C now ice surface stress |
119 |
dimitri |
1.10 |
DAIRN(I,J,bi,bj)=RHOAIR*(SEAICE_drag*AAA*AREA(I,J,1,bi,bj) |
120 |
|
|
& +OCEAN_drag*(2.70 _d 0+0.142 _d 0*AAA |
121 |
|
|
& +0.0764 _d 0*AAA*AAA)*(ONE-AREA(I,J,1,bi,bj))) |
122 |
|
|
FORCEX(I,J,bi,bj)=DAIRN(I,J,bi,bj)*(COSWIN*U1-SINWIN*V1) |
123 |
|
|
FORCEY(I,J,bi,bj)=DAIRN(I,J,bi,bj)*(SINWIN*U1+COSWIN*V1) |
124 |
dimitri |
1.4 |
ENDDO |
125 |
|
|
ENDDO |
126 |
|
|
ENDDO |
127 |
dimitri |
1.10 |
ENDDO |
128 |
heimbach |
1.2 |
|
129 |
dimitri |
1.4 |
DO bj=myByLo(myThid),myByHi(myThid) |
130 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
131 |
|
|
DO j=1,sNy |
132 |
|
|
DO i=1,sNx |
133 |
|
|
C-- NOW ADD IN TILT |
134 |
heimbach |
1.2 |
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
135 |
dimitri |
1.4 |
& -COR_ICE(I,J,bi,bj)*GWATY(I,J,bi,bj) |
136 |
heimbach |
1.2 |
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
137 |
dimitri |
1.4 |
& +COR_ICE(I,J,bi,bj)*GWATX(I,J,bi,bj) |
138 |
dimitri |
1.8 |
C NOW KEEP FORCEX0 |
139 |
|
|
FORCEX0(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
140 |
|
|
FORCEY0(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
141 |
dimitri |
1.4 |
C-- NOW SET UP ICE PRESSURE AND VISCOSITIES |
142 |
dimitri |
1.8 |
PRESS0(I,J,bi,bj)=PSTAR*HEFF(I,J,1,bi,bj) |
143 |
dimitri |
1.4 |
& *EXP(-20.0 _d 0*(ONE-AREA(I,J,1,bi,bj))) |
144 |
dimitri |
1.8 |
ZMAX(I,J,bi,bj)=(5.0 _d +12/(2.0 _d +04))*PRESS0(I,J,bi,bj) |
145 |
dimitri |
1.3 |
ZMIN(I,J,bi,bj)=4.0 _d +08 |
146 |
dimitri |
1.8 |
PRESS0(I,J,bi,bj)=PRESS0(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
147 |
heimbach |
1.2 |
ENDDO |
148 |
|
|
ENDDO |
149 |
|
|
ENDDO |
150 |
|
|
ENDDO |
151 |
|
|
|
152 |
|
|
#ifdef SEAICE_ALLOW_DYNAMICS |
153 |
heimbach |
1.9 |
|
154 |
heimbach |
1.2 |
IF ( SEAICEuseDYNAMICS ) THEN |
155 |
|
|
|
156 |
heimbach |
1.9 |
#ifdef ALLOW_AUTODIFF_TAMC |
157 |
|
|
CADJ STORE uice = comlev1, key=ikey_dynamics |
158 |
|
|
CADJ STORE vice = comlev1, key=ikey_dynamics |
159 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
160 |
dimitri |
1.3 |
|
161 |
dimitri |
1.14 |
crg what about DRAGS,DRAGA,ETA,ZETA |
162 |
dimitri |
1.3 |
|
163 |
|
|
crg later c$taf loop = iteration uice,vice |
164 |
|
|
|
165 |
dimitri |
1.8 |
cdm c$taf store uice,vice = comlev1_seaice_ds, |
166 |
dimitri |
1.12 |
cdm c$taf& key = kii + (ikey_dynamics-1) |
167 |
heimbach |
1.2 |
C NOW DO PREDICTOR TIME STEP |
168 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
169 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
170 |
|
|
DO j=1-OLy,sNy+OLy |
171 |
|
|
DO i=1-OLx,sNx+OLx |
172 |
|
|
UICE(I,J,2,bi,bj)=UICE(I,J,1,bi,bj) |
173 |
|
|
VICE(I,J,2,bi,bj)=VICE(I,J,1,bi,bj) |
174 |
|
|
UICEC(I,J,bi,bj)=UICE(I,J,1,bi,bj) |
175 |
|
|
VICEC(I,J,bi,bj)=VICE(I,J,1,bi,bj) |
176 |
|
|
ENDDO |
177 |
|
|
ENDDO |
178 |
|
|
ENDDO |
179 |
|
|
ENDDO |
180 |
|
|
|
181 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
182 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
183 |
|
|
DO j=1,sNy |
184 |
|
|
DO i=1,sNx |
185 |
|
|
C NOW EVALUATE STRAIN RATES |
186 |
mlosch |
1.16 |
E11(I,J,bi,bj)=HALF* _recip_dxF(I,J,bi,bj) * |
187 |
|
|
& (UICE(I+1,J+1,1,bi,bj)+UICE(I+1,J,1,bi,bj) |
188 |
|
|
& -UICE(I, J+1,1,bi,bj)-UICE(I, J,1,bi,bj)) |
189 |
|
|
& -QUART* |
190 |
|
|
& (VICE(I+1,J+1,1,bi,bj)+VICE(I, J+1,1,bi,bj) |
191 |
|
|
& +VICE(I, J, 1,bi,bj)+VICE(I+1,J, 1,bi,bj)) |
192 |
mlosch |
1.17 |
& * _tanPhiAtU(I,J,bi,bj)*recip_rSphere |
193 |
mlosch |
1.16 |
E22(I,J,bi,bj)=HALF* _recip_dyF(I,J,bi,bj) * |
194 |
|
|
& (VICE(I+1,J+1,1,bi,bj)+VICE(I,J+1,1,bi,bj) |
195 |
|
|
& -VICE(I+1,J, 1,bi,bj)-VICE(I,J, 1,bi,bj)) |
196 |
|
|
E12(I,J,bi,bj)=HALF*(HALF * _recip_dyF(I,J,bi,bj) * |
197 |
|
|
& (UICE(I+1,J+1,1,bi,bj)+UICE(I,J+1,1,bi,bj) |
198 |
|
|
& -UICE(I+1,J, 1,bi,bj)-UICE(I,J, 1,bi,bj)) |
199 |
|
|
& +HALF * _recip_dxF(I,J,bi,bj) * |
200 |
|
|
& (VICE(I+1,J+1,1,bi,bj)+VICE(I+1,J,1,bi,bj) |
201 |
|
|
& -VICE(I, J+1,1,bi,bj)-VICE(I, J,1,bi,bj)) |
202 |
|
|
& +QUART* |
203 |
|
|
& (UICE(I+1,J+1,1,bi,bj)+UICE(I, J+1,1,bi,bj) |
204 |
|
|
& +UICE(I, J, 1,bi,bj)+UICE(I+1,J, 1,bi,bj)) |
205 |
mlosch |
1.17 |
& * _tanPhiAtU(I,J,bi,bj)*recip_rSphere) |
206 |
heimbach |
1.2 |
C NOW EVALUATE VISCOSITIES |
207 |
dimitri |
1.3 |
DELT1=(E11(I,J,bi,bj)**2+E22(I,J,bi,bj)**2)*(ONE+ECM2) |
208 |
|
|
& +4.0 _d 0*ECM2*E12(I,J,bi,bj)**2 |
209 |
|
|
1 +TWO*E11(I,J,bi,bj)*E22(I,J,bi,bj)*(ONE-ECM2) |
210 |
dimitri |
1.8 |
IF ( DELT1 .LE. SEAICE_EPS_SQ ) THEN |
211 |
dimitri |
1.7 |
DELT2=SEAICE_EPS |
212 |
|
|
ELSE |
213 |
|
|
DELT2=SQRT(DELT1) |
214 |
|
|
ENDIF |
215 |
dimitri |
1.8 |
ZETA(I,J,bi,bj)=HALF*PRESS0(I,J,bi,bj)/DELT2 |
216 |
heimbach |
1.2 |
C NOW PUT MIN AND MAX VISCOSITIES IN |
217 |
|
|
ZETA(I,J,bi,bj)=MIN(ZMAX(I,J,bi,bj),ZETA(I,J,bi,bj)) |
218 |
|
|
ZETA(I,J,bi,bj)=MAX(ZMIN(I,J,bi,bj),ZETA(I,J,bi,bj)) |
219 |
|
|
C NOW SET VISCOSITIES TO ZERO AT HEFFMFLOW PTS |
220 |
|
|
ZETA(I,J,bi,bj)=ZETA(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
221 |
|
|
ETA(I,J,bi,bj)=ECM2*ZETA(I,J,bi,bj) |
222 |
dimitri |
1.8 |
PRESS(I,J,bi,bj)=TWO*ZETA(I,J,bi,bj)*DELT2 |
223 |
heimbach |
1.2 |
ENDDO |
224 |
|
|
ENDDO |
225 |
|
|
ENDDO |
226 |
|
|
ENDDO |
227 |
|
|
|
228 |
|
|
C-- Update overlap regions |
229 |
|
|
_EXCH_XY_R8(ETA, myThid) |
230 |
|
|
_EXCH_XY_R8(ZETA, myThid) |
231 |
dimitri |
1.8 |
_EXCH_XY_R8(PRESS, myThid) |
232 |
heimbach |
1.2 |
|
233 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
234 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
235 |
|
|
DO j=1,sNy |
236 |
|
|
DO i=1,sNx |
237 |
dimitri |
1.8 |
C NOW SET UP NON-LINEAR WATER DRAG, FORCEX, FORCEY |
238 |
dimitri |
1.7 |
TEMPVAR=(UICE(I,J,1,bi,bj)-GWATX(I,J,bi,bj))**2 |
239 |
|
|
& +(VICE(I,J,1,bi,bj)-GWATY(I,J,bi,bj))**2 |
240 |
dimitri |
1.8 |
IF ( TEMPVAR .LE. (QUART/SEAICE_waterDrag)**2 ) THEN |
241 |
|
|
DWATN(I,J,bi,bj)=QUART |
242 |
dimitri |
1.7 |
ELSE |
243 |
|
|
DWATN(I,J,bi,bj)=SEAICE_waterDrag*SQRT(TEMPVAR) |
244 |
|
|
ENDIF |
245 |
heimbach |
1.2 |
C NOW SET UP SYMMETTRIC DRAG |
246 |
|
|
DRAGS(I,J,bi,bj)=DWATN(I,J,bi,bj)*COSWAT |
247 |
|
|
C NOW SET UP ANTI SYMMETTRIC DRAG PLUS CORIOLIS |
248 |
|
|
DRAGA(I,J,bi,bj)=DWATN(I,J,bi,bj)*SINWAT+COR_ICE(I,J,bi,bj) |
249 |
|
|
C NOW ADD IN CURRENT FORCE |
250 |
|
|
FORCEX(I,J,bi,bj)=FORCEX0(I,J,bi,bj)+DWATN(I,J,bi,bj) |
251 |
|
|
& *(COSWAT*GWATX(I,J,bi,bj) |
252 |
|
|
& -SINWAT*GWATY(I,J,bi,bj)) |
253 |
|
|
FORCEY(I,J,bi,bj)=FORCEY0(I,J,bi,bj)+DWATN(I,J,bi,bj) |
254 |
|
|
& *(SINWAT*GWATX(I,J,bi,bj) |
255 |
|
|
& +COSWAT*GWATY(I,J,bi,bj)) |
256 |
dimitri |
1.8 |
C NOW CALCULATE PRESSURE FORCE AND ADD TO EXTERNAL FORCE |
257 |
|
|
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
258 |
mlosch |
1.16 |
& -QUART * _recip_dxV(I,J,bi,bj) |
259 |
|
|
& *(PRESS(I, J,bi,bj) + PRESS(I, J-1,bi,bj) |
260 |
|
|
& - PRESS(I-1,J,bi,bj) - PRESS(I-1,J-1,bi,bj)) |
261 |
|
|
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
262 |
|
|
& -QUART * _recip_dyU(I,J,bi,bj) |
263 |
|
|
& *(PRESS(I,J, bi,bj) + PRESS(I-1,J, bi,bj) |
264 |
|
|
& - PRESS(I,J-1,bi,bj) - PRESS(I-1,J-1,bi,bj)) |
265 |
dimitri |
1.8 |
ENDDO |
266 |
|
|
ENDDO |
267 |
|
|
ENDDO |
268 |
|
|
ENDDO |
269 |
|
|
|
270 |
|
|
C NOW LSR SCHEME (ZHANG-J/HIBLER 1997) |
271 |
heimbach |
1.9 |
CADJ STORE uice = comlev1, key=ikey_dynamics |
272 |
|
|
CADJ STORE vice = comlev1, key=ikey_dynamics |
273 |
|
|
CALL LSR( 1, myThid ) |
274 |
|
|
CADJ STORE uice = comlev1, key=ikey_dynamics |
275 |
|
|
CADJ STORE vice = comlev1, key=ikey_dynamics |
276 |
dimitri |
1.8 |
|
277 |
|
|
C NOW DO MODIFIED EULER STEP |
278 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
279 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
280 |
|
|
DO j=1-OLy,sNy+OLy |
281 |
|
|
DO i=1-OLx,sNx+OLx |
282 |
|
|
UICE(I,J,1,bi,bj)=HALF*(UICE(I,J,1,bi,bj)+UICE(I,J,2,bi,bj)) |
283 |
|
|
VICE(I,J,1,bi,bj)=HALF*(VICE(I,J,1,bi,bj)+VICE(I,J,2,bi,bj)) |
284 |
|
|
UICEC(I,J,bi,bj)=UICE(I,J,1,bi,bj) |
285 |
|
|
VICEC(I,J,bi,bj)=VICE(I,J,1,bi,bj) |
286 |
heimbach |
1.2 |
ENDDO |
287 |
|
|
ENDDO |
288 |
|
|
ENDDO |
289 |
|
|
ENDDO |
290 |
|
|
|
291 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
292 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
293 |
|
|
DO j=1,sNy |
294 |
|
|
DO i=1,sNx |
295 |
|
|
C NOW EVALUATE STRAIN RATES |
296 |
mlosch |
1.16 |
E11(I,J,bi,bj)=HALF * _recip_dxF(I,J,bi,bj) * |
297 |
|
|
& (UICE(I+1,J+1,1,bi,bj)+UICE(I+1,J,1,bi,bj) |
298 |
|
|
& -UICE(I, J+1,1,bi,bj)-UICE(I, J,1,bi,bj)) |
299 |
|
|
& -QUART* |
300 |
|
|
& (VICE(I+1,J+1,1,bi,bj)+VICE(I, J+1,1,bi,bj) |
301 |
|
|
& +VICE(I, J, 1,bi,bj)+VICE(I+1,J, 1,bi,bj)) |
302 |
mlosch |
1.17 |
& * _tanPhiAtU(I,J,bi,bj)*recip_rSphere |
303 |
mlosch |
1.16 |
E22(I,J,bi,bj)=HALF * _recip_dyF(I,J,bi,bj) * |
304 |
|
|
& (VICE(I+1,J+1,1,bi,bj)+VICE(I,J+1,1,bi,bj) |
305 |
|
|
& -VICE(I+1,J, 1,bi,bj)-VICE(I,J, 1,bi,bj)) |
306 |
|
|
E12(I,J,bi,bj)=HALF*(HALF * _recip_dyF(I,J,bi,bj) * |
307 |
|
|
& (UICE(I+1,J+1,1,bi,bj)+UICE(I,J+1,1,bi,bj) |
308 |
|
|
& -UICE(I+1,J, 1,bi,bj)-UICE(I,J, 1,bi,bj)) |
309 |
|
|
& +HALF * _recip_dxF(I,J,bi,bj) * |
310 |
|
|
& (VICE(I+1,J+1,1,bi,bj)+VICE(I+1,J,1,bi,bj) |
311 |
|
|
& -VICE(I, J+1,1,bi,bj)-VICE(I, J,1,bi,bj)) |
312 |
|
|
& +QUART* |
313 |
|
|
& (UICE(I+1,J+1,1,bi,bj)+UICE(I, J+1,1,bi,bj) |
314 |
|
|
& +UICE(I, J, 1,bi,bj)+UICE(I+1,J, 1,bi,bj)) |
315 |
mlosch |
1.17 |
& * _tanPhiAtU(I,J,bi,bj)*recip_rSphere) |
316 |
heimbach |
1.2 |
C NOW EVALUATE VISCOSITIES |
317 |
dimitri |
1.3 |
DELT1=(E11(I,J,bi,bj)**2+E22(I,J,bi,bj)**2)*(ONE+ECM2) |
318 |
|
|
& +4. _d 0*ECM2*E12(I,J,bi,bj)**2 |
319 |
|
|
1 +TWO*E11(I,J,bi,bj)*E22(I,J,bi,bj)*(ONE-ECM2) |
320 |
dimitri |
1.8 |
IF ( DELT1 .LE. SEAICE_EPS_SQ ) THEN |
321 |
dimitri |
1.7 |
DELT2=SEAICE_EPS |
322 |
|
|
ELSE |
323 |
|
|
DELT2=SQRT(DELT1) |
324 |
|
|
ENDIF |
325 |
dimitri |
1.8 |
ZETA(I,J,bi,bj)=HALF*PRESS0(I,J,bi,bj)/DELT2 |
326 |
heimbach |
1.2 |
C NOW PUT MIN AND MAX VISCOSITIES IN |
327 |
|
|
ZETA(I,J,bi,bj)=MIN(ZMAX(I,J,bi,bj),ZETA(I,J,bi,bj)) |
328 |
|
|
ZETA(I,J,bi,bj)=MAX(ZMIN(I,J,bi,bj),ZETA(I,J,bi,bj)) |
329 |
|
|
C NOW SET VISCOSITIES TO ZERO AT HEFFMFLOW PTS |
330 |
|
|
ZETA(I,J,bi,bj)=ZETA(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
331 |
|
|
ETA(I,J,bi,bj)=ECM2*ZETA(I,J,bi,bj) |
332 |
dimitri |
1.8 |
PRESS(I,J,bi,bj)=TWO*ZETA(I,J,bi,bj)*DELT2 |
333 |
heimbach |
1.2 |
ENDDO |
334 |
|
|
ENDDO |
335 |
|
|
ENDDO |
336 |
|
|
ENDDO |
337 |
|
|
|
338 |
|
|
C-- Update overlap regions |
339 |
|
|
_EXCH_XY_R8(ETA, myThid) |
340 |
|
|
_EXCH_XY_R8(ZETA, myThid) |
341 |
dimitri |
1.8 |
_EXCH_XY_R8(PRESS, myThid) |
342 |
|
|
|
343 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
344 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
345 |
|
|
DO j=1,sNy |
346 |
|
|
DO i=1,sNx |
347 |
|
|
C NOW SET UP NON-LINEAR WATER DRAG, FORCEX, FORCEY |
348 |
|
|
TEMPVAR=(UICE(I,J,1,bi,bj)-GWATX(I,J,bi,bj))**2 |
349 |
|
|
& +(VICE(I,J,1,bi,bj)-GWATY(I,J,bi,bj))**2 |
350 |
|
|
IF ( TEMPVAR .LE. (QUART/SEAICE_waterDrag)**2 ) THEN |
351 |
|
|
DWATN(I,J,bi,bj)=QUART |
352 |
|
|
ELSE |
353 |
|
|
DWATN(I,J,bi,bj)=SEAICE_waterDrag*SQRT(TEMPVAR) |
354 |
|
|
ENDIF |
355 |
|
|
C NOW SET UP SYMMETTRIC DRAG |
356 |
|
|
DRAGS(I,J,bi,bj)=DWATN(I,J,bi,bj)*COSWAT |
357 |
|
|
C NOW SET UP ANTI SYMMETTRIC DRAG PLUS CORIOLIS |
358 |
|
|
DRAGA(I,J,bi,bj)=DWATN(I,J,bi,bj)*SINWAT+COR_ICE(I,J,bi,bj) |
359 |
|
|
C NOW ADD IN CURRENT FORCE |
360 |
|
|
FORCEX(I,J,bi,bj)=FORCEX0(I,J,bi,bj)+DWATN(I,J,bi,bj) |
361 |
|
|
& *(COSWAT*GWATX(I,J,bi,bj) |
362 |
|
|
& -SINWAT*GWATY(I,J,bi,bj)) |
363 |
|
|
FORCEY(I,J,bi,bj)=FORCEY0(I,J,bi,bj)+DWATN(I,J,bi,bj) |
364 |
|
|
& *(SINWAT*GWATX(I,J,bi,bj) |
365 |
|
|
& +COSWAT*GWATY(I,J,bi,bj)) |
366 |
|
|
C NOW CALCULATE PRESSURE FORCE AND ADD TO EXTERNAL FORCE |
367 |
|
|
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
368 |
mlosch |
1.16 |
& -QUART * _recip_dxV(I,J,bi,bj) |
369 |
|
|
& *(PRESS(I, J,bi,bj) + PRESS(I, J-1,bi,bj) |
370 |
|
|
& - PRESS(I-1,J,bi,bj) - PRESS(I-1,J-1,bi,bj)) |
371 |
|
|
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
372 |
|
|
& -QUART * _recip_dyU(I,J,bi,bj) |
373 |
|
|
& *(PRESS(I,J, bi,bj) + PRESS(I-1,J, bi,bj) |
374 |
|
|
& - PRESS(I,J-1,bi,bj) - PRESS(I-1,J-1,bi,bj)) |
375 |
dimitri |
1.8 |
ENDDO |
376 |
|
|
ENDDO |
377 |
|
|
ENDDO |
378 |
|
|
ENDDO |
379 |
heimbach |
1.2 |
|
380 |
dimitri |
1.8 |
C NOW LSR SCHEME (ZHANG-J/HIBLER 1997) |
381 |
heimbach |
1.9 |
CALL LSR( 2, myThid ) |
382 |
heimbach |
1.2 |
|
383 |
dimitri |
1.7 |
cdm c$taf store uice,vice = comlev1, key=ikey_dynamics |
384 |
dimitri |
1.3 |
|
385 |
heimbach |
1.2 |
ENDIF |
386 |
dimitri |
1.5 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
387 |
heimbach |
1.2 |
|
388 |
|
|
C Calculate ocean surface stress |
389 |
|
|
CALL OSTRES ( DWATN, COR_ICE, myThid ) |
390 |
|
|
|
391 |
|
|
#ifdef SEAICE_ALLOW_DYNAMICS |
392 |
heimbach |
1.9 |
|
393 |
heimbach |
1.2 |
IF ( SEAICEuseDYNAMICS ) THEN |
394 |
|
|
|
395 |
heimbach |
1.9 |
#ifdef ALLOW_AUTODIFF_TAMC |
396 |
|
|
CADJ STORE uice = comlev1, key=ikey_dynamics |
397 |
|
|
CADJ STORE vice = comlev1, key=ikey_dynamics |
398 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
399 |
heimbach |
1.2 |
c Put a cap on ice velocity |
400 |
|
|
c limit velocity to 0.40 m s-1 to avoid potential CFL violations |
401 |
|
|
c in open water areas (drift of zero thickness ice) |
402 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
403 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
404 |
|
|
DO j=1-OLy,sNy+OLy |
405 |
|
|
DO i=1-OLx,sNx+OLx |
406 |
|
|
#ifdef SEAICE_DEBUG |
407 |
|
|
c write(*,'(2i4,2i2,f7.1,7f12.3)') |
408 |
|
|
c & i,j,bi,bj,UVM(I,J,bi,bj),amass(i,j,bi,bj) |
409 |
|
|
c & ,gwatx(I,J,bi,bj),gwaty(i,j,bi,bj) |
410 |
|
|
c & ,forcex(I,J,bi,bj),forcey(i,j,bi,bj) |
411 |
|
|
c & ,uice(i,j,1,bi,bj) |
412 |
|
|
c & ,vice(i,j,1,bi,bj) |
413 |
dimitri |
1.5 |
#endif /* SEAICE_DEBUG */ |
414 |
dimitri |
1.3 |
UICE(i,j,1,bi,bj)=min(UICE(i,j,1,bi,bj),0.40 _d +00) |
415 |
|
|
VICE(i,j,1,bi,bj)=min(VICE(i,j,1,bi,bj),0.40 _d +00) |
416 |
heimbach |
1.9 |
ENDDO |
417 |
|
|
ENDDO |
418 |
|
|
ENDDO |
419 |
|
|
ENDDO |
420 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
421 |
|
|
CADJ STORE uice = comlev1, key=ikey_dynamics |
422 |
|
|
CADJ STORE vice = comlev1, key=ikey_dynamics |
423 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
424 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
425 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
426 |
|
|
DO j=1-OLy,sNy+OLy |
427 |
|
|
DO i=1-OLx,sNx+OLx |
428 |
dimitri |
1.3 |
UICE(i,j,1,bi,bj)=max(UICE(i,j,1,bi,bj),-0.40 _d +00) |
429 |
|
|
VICE(i,j,1,bi,bj)=max(VICE(i,j,1,bi,bj),-0.40 _d +00) |
430 |
heimbach |
1.2 |
ENDDO |
431 |
|
|
ENDDO |
432 |
|
|
ENDDO |
433 |
|
|
ENDDO |
434 |
|
|
|
435 |
|
|
ENDIF |
436 |
dimitri |
1.5 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
437 |
heimbach |
1.2 |
|
438 |
|
|
RETURN |
439 |
|
|
END |