1 |
C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_lsr.F,v 1.12 2006/06/06 05:05:18 mlosch Exp $ |
2 |
C $Name: $ |
3 |
|
4 |
#include "SEAICE_OPTIONS.h" |
5 |
|
6 |
CStartOfInterface |
7 |
SUBROUTINE SEAICE_LSR( ilcall, myThid ) |
8 |
C /==========================================================\ |
9 |
C | SUBROUTINE SEAICE_LSR | |
10 |
C | o Solve ice momentum equation with an LSR dynamics solver| |
11 |
C | (see Zhang and Hibler, JGR, 102, 8691-8702, 1997 | |
12 |
C | and Zhang and Rothrock, MWR, 131, 845- 861, 2003) | |
13 |
C | Written by Jinlun Zhang, PSC/UW, Feb-2001 | |
14 |
C | zhang@apl.washington.edu | |
15 |
C |==========================================================| |
16 |
C | C-grid version by Martin Losch | |
17 |
C \==========================================================/ |
18 |
IMPLICIT NONE |
19 |
|
20 |
C === Global variables === |
21 |
#include "SIZE.h" |
22 |
#include "EEPARAMS.h" |
23 |
#include "PARAMS.h" |
24 |
#include "GRID.h" |
25 |
#include "SEAICE.h" |
26 |
#include "SEAICE_PARAMS.h" |
27 |
|
28 |
#ifdef ALLOW_AUTODIFF_TAMC |
29 |
# include "tamc.h" |
30 |
#endif |
31 |
|
32 |
C === Routine arguments === |
33 |
C myThid - Thread no. that called this routine. |
34 |
INTEGER ilcall |
35 |
INTEGER myThid |
36 |
CEndOfInterface |
37 |
|
38 |
#ifdef SEAICE_CGRID |
39 |
#ifdef SEAICE_ALLOW_DYNAMICS |
40 |
|
41 |
C === Local variables === |
42 |
C i,j,bi,bj - Loop counters |
43 |
|
44 |
INTEGER i, j, m, bi, bj, j1, j2, im, jm |
45 |
INTEGER ICOUNT1, ICOUNT2, SOLV_MAX_ITERS, SOLV_NCHECK |
46 |
INTEGER phexit |
47 |
|
48 |
_RL WFAU, WFAV, WFAU1, WFAV1, WFAU2, WFAV2 |
49 |
_RL AA1, AA2, AA3, AA4, AA5, AA6, AA7, S1, S2, S1A, S2A |
50 |
|
51 |
_RL AU (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
52 |
_RL BU (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
53 |
_RL CU (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
54 |
_RL AV (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
55 |
_RL BV (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
56 |
_RL CV (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
57 |
_RL UERR (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
58 |
_RL FXY (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
59 |
|
60 |
_RL URT(1-Olx:sNx+Olx), CUU(1-Olx:sNx+Olx) |
61 |
_RL VRT(1-Oly:sNy+Oly), CVV(1-Oly:sNy+Oly) |
62 |
|
63 |
_RL etaPlusZeta (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
64 |
_RL zetaMinusEta(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
65 |
_RL etaMeanZ (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
66 |
_RL etaMeanU (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
67 |
_RL etaMeanV (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
68 |
|
69 |
_RL UVRT1 (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
70 |
_RL UVRT2 (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
71 |
|
72 |
_RL dVdy (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
73 |
_RL dUdx (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
74 |
_RL dUdy (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
75 |
|
76 |
_RL SINWAT, COSWAT |
77 |
_RL TEMPVAR |
78 |
|
79 |
_RL PRESS (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
80 |
|
81 |
C-- introduce turning angles |
82 |
SINWAT=SIN(SEAICE_waterTurnAngle*deg2rad) |
83 |
COSWAT=COS(SEAICE_waterTurnAngle*deg2rad) |
84 |
|
85 |
C SET SOME VALUES |
86 |
WFAU1=0.95 _d 0 |
87 |
WFAV1=0.95 _d 0 |
88 |
WFAU2=ZERO |
89 |
WFAV2=ZERO |
90 |
|
91 |
S1A=0.80 _d 0 |
92 |
S2A=0.80 _d 0 |
93 |
WFAU=WFAU1 |
94 |
WFAV=WFAV1 |
95 |
|
96 |
SOLV_MAX_ITERS=1500 |
97 |
SOLV_NCHECK=2 |
98 |
|
99 |
ICOUNT1=SOLV_MAX_ITERS |
100 |
ICOUNT2=SOLV_MAX_ITERS |
101 |
|
102 |
#ifdef ALLOW_AUTODIFF_TAMC |
103 |
cph That's an important one! Note, that |
104 |
cph * lsr is called twice, thus the icall index |
105 |
cph * this storing is still outside the iteration loop |
106 |
CADJ STORE uice = comlev1_lsr, |
107 |
CADJ & key = ikey_dynamics + (ilcall-1)*nchklev_1 |
108 |
CADJ STORE vice = comlev1_lsr, |
109 |
CADJ & key = ikey_dynamics + (ilcall-1)*nchklev_1 |
110 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
111 |
|
112 |
CALL SEAICE_CALC_VISCOSITIES( |
113 |
I uIceC, vIceC, zMin, zMax, hEffM, press0, |
114 |
O eta, zeta, press, |
115 |
#ifdef SEAICE_ALLOW_EVP |
116 |
O seaice_div, seaice_tension, seaice_shear, |
117 |
#endif /* SEAICE_ALLOW_EVP */ |
118 |
I myThid ) |
119 |
|
120 |
DO bj=myByLo(myThid),myByHi(myThid) |
121 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
122 |
DO j=1-Oly+1,sNy+Oly-1 |
123 |
DO i=1-Olx+1,sNx+Olx-1 |
124 |
C NOW SET UP NON-LINEAR WATER DRAG, FORCEX, FORCEY |
125 |
TEMPVAR = QUART*( |
126 |
& (uIceC(I ,J,bi,bj)-GWATX(I ,J,bi,bj) |
127 |
& +uIceC(I+1,J,bi,bj)-GWATX(I+1,J,bi,bj))**2 |
128 |
& +(vIceC(I,J ,bi,bj)-GWATY(I,J ,bi,bj) |
129 |
& +vIceC(I,J+1,bi,bj)-GWATY(I,J+1,bi,bj))**2) |
130 |
IF ( TEMPVAR .LE. (QUART/SEAICE_waterDrag)**2 ) THEN |
131 |
DWATN(I,J,bi,bj)=QUART |
132 |
ELSE |
133 |
DWATN(I,J,bi,bj)=SEAICE_waterDrag*SQRT(TEMPVAR) |
134 |
ENDIF |
135 |
DWATN(I,J,bi,bj) = DWATN(I,J,bi,bj) * HEFFM(I,J,bi,bj) |
136 |
C NOW SET UP SYMMETTRIC DRAG |
137 |
DRAGS(I,J,bi,bj) = DWATN(I,J,bi,bj)*COSWAT |
138 |
C NOW SET UP ANTI SYMMETTRIC DRAG FORCE AND ADD IN CURRENT FORCE |
139 |
C ( remember to average to correct velocity points ) |
140 |
FORCEX(I,J,bi,bj)=FORCEX0(I,J,bi,bj)+ |
141 |
& 0.5*( DWATN(I,J,bi,bj)+DWATN(I-1,J,bi,bj) ) * |
142 |
& COSWAT * GWATX(I,J,bi,bj) |
143 |
& - SIGN(SINWAT, _fCori(I,J,bi,bj))* 0.5 _d 0 * |
144 |
& ( DWATN(I ,J,bi,bj) * |
145 |
& 0.5 _d 0 * (GWATY(I ,J ,bi,bj)-vIceC(I ,J ,bi,bj) |
146 |
& +GWATY(I ,J+1,bi,bj)-vIceC(I ,J+1,bi,bj)) |
147 |
& + DWATN(I-1,J,bi,bj) * |
148 |
& 0.5 _d 0 * (GWATY(I-1,J ,bi,bj)-vIceC(I-1,J ,bi,bj) |
149 |
& +GWATY(I-1,J+1,bi,bj)-vIceC(I-1,J+1,bi,bj)) |
150 |
& ) |
151 |
FORCEY(I,J,bi,bj)=FORCEY0(I,J,bi,bj)+ |
152 |
& 0.5*( DWATN(I,J,bi,bj)+DWATN(I,J-1,bi,bj) ) * |
153 |
& COSWAT * GWATY(I,J,bi,bj) |
154 |
& + SIGN(SINWAT, _fCori(I,J,bi,bj)) * 0.5 _d 0 * |
155 |
& ( DWATN(I,J ,bi,bj) * |
156 |
& 0.5 _d 0 * (GWATX(I ,J ,bi,bj)-uIceC(I ,J ,bi,bj) |
157 |
& +GWATX(I+1,J ,bi,bj)-uIceC(I+1,J ,bi,bj)) |
158 |
& + DWATN(I,J-1,bi,bj) * |
159 |
& 0.5 _d 0 * (GWATX(I ,J-1,bi,bj)-uIceC(I ,J-1,bi,bj) |
160 |
& +GWATX(I+1,J-1,bi,bj)-uIceC(I+1,J-1,bi,bj)) |
161 |
& ) |
162 |
C NOW CALCULATE PRESSURE FORCE AND ADD TO EXTERNAL FORCE |
163 |
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
164 |
& - 0.5 _d 0 * _recip_dxC(I,J,bi,bj) |
165 |
& *(PRESS(I,J,bi,bj) - PRESS(I-1,J ,bi,bj)) |
166 |
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
167 |
& - 0.5 _d 0 * _recip_dyC(I,J,bi,bj) |
168 |
& *(PRESS(I,J,bi,bj) - PRESS(I ,J-1,bi,bj)) |
169 |
ENDDO |
170 |
ENDDO |
171 |
ENDDO |
172 |
ENDDO |
173 |
|
174 |
DO bj=myByLo(myThid),myByHi(myThid) |
175 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
176 |
DO j=1-Oly,sNy+Oly |
177 |
DO i=1-Olx,sNx+Olx |
178 |
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
179 |
& +seaiceMassU(I,J,bi,bj)/SEAICE_deltaTdyn |
180 |
& *uIce(I,J,2,bi,bj) |
181 |
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
182 |
& +seaiceMassV(I,J,bi,bj)/SEAICE_deltaTdyn |
183 |
& *vIce(I,J,2,bi,bj) |
184 |
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj)* _maskW(I,J,1,bi,bj) |
185 |
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj)* _maskS(I,J,1,bi,bj) |
186 |
etaPlusZeta (I,J,bi,bj) = ETA (I,J,bi,bj)+ZETA(I,J,bi,bj) |
187 |
zetaMinusEta(I,J,bi,bj) = ZETA(I,J,bi,bj)-ETA (I,J,bi,bj) |
188 |
ENDDO |
189 |
ENDDO |
190 |
DO j=1-Oly,sNy+Oly |
191 |
DO i=1-Olx+1,sNx+Olx |
192 |
etaMeanU (I,J,bi,bj) = |
193 |
& HALF*(ETA (I,J,bi,bj) + ETA (I-1,J ,bi,bj)) |
194 |
ENDDO |
195 |
ENDDO |
196 |
DO j=1-Oly+1,sNy+Oly |
197 |
DO i=1-Olx,sNx+Olx |
198 |
etaMeanV (I,J,bi,bj) = |
199 |
& HALF*(ETA (I,J,bi,bj) + ETA (I ,J-1,bi,bj)) |
200 |
ENDDO |
201 |
ENDDO |
202 |
DO j=1-Oly+1,sNy+Oly |
203 |
DO i=1-Olx+1,sNx+Olx |
204 |
etaMeanZ (I,J,bi,bj) = |
205 |
& HALF * ( etaMeanU(I,J,bi,bj) + etaMeanU(I,J-1,bi,bj) ) |
206 |
ENDDO |
207 |
ENDDO |
208 |
ENDDO |
209 |
ENDDO |
210 |
|
211 |
C SOLVE FOR uIce |
212 |
DO bj=myByLo(myThid),myByHi(myThid) |
213 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
214 |
|
215 |
DO J=1,sNy |
216 |
DO I=1,sNx |
217 |
C coefficients of uIce(I,J) |
218 |
C (d/dx)[(eta+zeta)*d/dx)] U |
219 |
AA1 = etaPlusZeta(I ,J,bi,bj) |
220 |
& * _recip_dxF(I ,J,bi,bj) |
221 |
& * _recip_dxC(I ,J,bi,bj) * _maskW(I,J,1,bi,bj) |
222 |
AA2 = etaPlusZeta(I-1,J,bi,bj) |
223 |
& * _recip_dxF(I-1,J,bi,bj) |
224 |
& * _recip_dxC(I ,J,bi,bj) * _maskW(I,J,1,bi,bj) |
225 |
C (d/dy)[eta*(d/dy + tanphi/a)] U (also on UVRT1/2) |
226 |
AA3= ( etaMeanZ(I,J+1,bi,bj) * _recip_dyU(I,J+1,bi,bj) |
227 |
& + etaMeanZ(I,J ,bi,bj) * _recip_dyU(I,J ,bi,bj) |
228 |
& ) * _recip_dyG(I,J,bi,bj) |
229 |
& - (etaMeanZ(I,J+1,bi,bj) - etaMeanZ(I,J,bi,bj)) |
230 |
& * 0.5 _d 0 * _tanPhiAtU(I,J,bi,bj) |
231 |
& * recip_rSphere * _recip_dyG(I,J,bi,bj) |
232 |
C 2*eta*(tanphi/a) * ( tanphi/a ) U |
233 |
AA6=TWO*etaMeanU(I,J,bi,bj)*recip_rSphere*recip_rSphere |
234 |
& * _tanPhiAtU(I,J,bi,bj) * _tanPhiAtU(I,J,bi,bj) |
235 |
AU(I,J,bi,bj)=-AA2 |
236 |
CU(I,J,bi,bj)=-AA1 |
237 |
BU(I,J,bi,bj)=(ONE - _maskW(I,J,1,bi,bj)) |
238 |
& - AU(I,J,bi,bj) - CU(I,J,bi,bj) |
239 |
& + ( AA3 + AA6 |
240 |
& + seaiceMassU(I,J,bi,bj)/SEAICE_deltaTdyn |
241 |
& + 0.5 _d 0*( DRAGS(I,J,bi,bj) + DRAGS(I-1,J,bi,bj) ) |
242 |
& )* _maskW(I,J,1,bi,bj) |
243 |
C coefficients of uIce(I,J-1) |
244 |
UVRT1(I,J,bi,bj)= |
245 |
& etaMeanZ(I,J ,bi,bj) * _recip_dyG(I,J ,bi,bj) * ( |
246 |
& _recip_dyU(I,J ,bi,bj) |
247 |
& - _tanPhiAtU(I,J ,bi,bj) * 0.5 _d 0 * recip_rSphere ) |
248 |
& + TWO*etaMeanU(I,J,bi,bj) * _tanPhiAtU(I,J,bi,bj) |
249 |
& * 1.0 _d 0 / ( _dyU(I,J,bi,bj) + _dyU(I,J+1,bi,bj) ) |
250 |
& *recip_rSphere |
251 |
C coefficients of uIce(I,J+1) |
252 |
UVRT2(I,J,bi,bj)= |
253 |
& etaMeanZ(I,J+1,bi,bj) * _recip_dyG(I,J ,bi,bj) * ( |
254 |
& _recip_dyU(I,J+1,bi,bj) |
255 |
& + _tanPhiAtU(I,J+1,bi,bj) * 0.5 _d 0 * recip_rSphere ) |
256 |
& - TWO*etaMeanU(I,J,bi,bj) * _tanPhiAtU(I,J,bi,bj) |
257 |
& * 1.0 _d 0 / ( _dyU(I,J,bi,bj) + _dyU(I,J+1,bi,bj) ) |
258 |
& *recip_rSphere |
259 |
END DO |
260 |
END DO |
261 |
|
262 |
DO J=1,sNy |
263 |
AU(1,J,bi,bj)=ZERO |
264 |
CU(sNx,J,bi,bj)=ZERO |
265 |
CU(1,J,bi,bj)=CU(1,J,bi,bj)/BU(1,J,bi,bj) |
266 |
END DO |
267 |
|
268 |
C now set up right-hand side |
269 |
DO J=1-Oly,sNy+Oly-1 |
270 |
DO I=1-Olx,sNx+Olx |
271 |
dVdy(I,J) = ( vIceC(I,J+1,bi,bj) - vIceC(I,J,bi,bj) ) |
272 |
& * _recip_dyF(I,J,bi,bj) |
273 |
ENDDO |
274 |
ENDDO |
275 |
DO J=1,sNy |
276 |
DO I=1,sNx |
277 |
C coriolis and other forcing |
278 |
FXY(I,J,bi,bj)= |
279 |
& 0.5*( seaiceMassC(I ,J,bi,bj) * _fCori(I ,J,bi,bj) |
280 |
& *0.5*( vIceC( i ,j,bi,bj)+vIceC( i ,j+1,bi,bj) ) |
281 |
& + seaiceMassC(I-1,J,bi,bj) * _fCori(I-1,J,bi,bj) |
282 |
& *0.5*( vIceC(i-1,j,bi,bj)+vIceC(i-1,j+1,bi,bj) ) ) |
283 |
& +FORCEX(I,J,bi,bj) |
284 |
C + d/dx[ (zeta-eta) dV/dy] |
285 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) + |
286 |
& ( zetaMinusEta(I ,J ,bi,bj) * dVdy(I ,J ) |
287 |
& - zetaMinusEta(I-1,J ,bi,bj) * dVdy(I-1,J ) |
288 |
& ) * _recip_dxC(I,J,bi,bj) |
289 |
C + d/dy[ eta dV/x ] |
290 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) + ( |
291 |
& etaMeanZ(I,J+1,bi,bj) |
292 |
& * ( vIceC(I ,J+1,bi,bj) - vIceC(I-1,J+1,bi,bj) ) |
293 |
& * _recip_dxV(I,J+1,bi,bj) |
294 |
& - etaMeanZ(I,J,bi,bj) |
295 |
& * ( vIceC(I ,J,bi,bj) - vIceC(I-1,J,bi,bj) ) |
296 |
& * _recip_dxV(I,J,bi,bj) |
297 |
& ) * _recip_dyG(I,J,bi,bj) |
298 |
C - d/dx[ (eta+zeta) * v * (tanphi/a) ] |
299 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) - ( |
300 |
& etaPlusZeta(I ,J ,bi,bj) |
301 |
& * 0.5 _d 0 * (vIceC(I ,J,bi,bj)+vIceC(I ,J+1,bi,bj)) |
302 |
& * 0.5 _d 0 * ( _tanPhiAtU(I ,J,bi,bj) |
303 |
& + _tanPhiAtU(I+1,J,bi,bj) ) |
304 |
& - etaPlusZeta(I-1,J,bi,bj) |
305 |
& * 0.5 _d 0 * (vIceC(I-1,J,bi,bj)+vIceC(I-1,J+1,bi,bj)) |
306 |
& * 0.5 _d 0 * ( _tanPhiAtU(I-1,J,bi,bj) |
307 |
& + _tanPhiAtU(I ,J,bi,bj) ) |
308 |
& )* _recip_dxC(I,J,bi,bj)*recip_rSphere |
309 |
C - 2*eta*(tanphi/a) * dV/dx |
310 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) - |
311 |
& TWO * etaMeanU(I,J,bi,bj) * _tanPhiAtV(I,J,bi,bj) |
312 |
& *recip_rSphere |
313 |
& *(vIceC(I ,J,bi,bj) + vIceC(I ,J+1,bi,bj) |
314 |
& -vIceC(I-1,J,bi,bj) - vIceC(I-1,J+1,bi,bj)) |
315 |
& * _recip_dxC(I,J,bi,bj) |
316 |
END DO |
317 |
END DO |
318 |
|
319 |
ENDDO |
320 |
ENDDO |
321 |
|
322 |
C NOW DO ITERATION |
323 |
100 CONTINUE |
324 |
|
325 |
cph--- iteration starts here |
326 |
cph--- need to kick out goto |
327 |
phexit = -1 |
328 |
|
329 |
C ITERATION START ----------------------------------------------------- |
330 |
#ifdef ALLOW_AUTODIFF_TAMC |
331 |
CADJ LOOP = iteration uice |
332 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
333 |
|
334 |
DO 8000 M=1, solv_max_iters |
335 |
cph( |
336 |
IF ( phexit .EQ. -1 ) THEN |
337 |
cph) |
338 |
DO bj=myByLo(myThid),myByHi(myThid) |
339 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
340 |
C NOW SET U(3)=U(1) |
341 |
DO J=1,sNy |
342 |
DO I=1,sNx |
343 |
uIce(I,J,3,bi,bj)=uIce(I,J,1,bi,bj) |
344 |
END DO |
345 |
END DO |
346 |
|
347 |
DO 1200 J=1,sNy |
348 |
DO I=1,sNx |
349 |
IF(I.EQ.1) THEN |
350 |
AA2 = etaPlusZeta(I-1,J,bi,bj) |
351 |
& * _recip_dxF(I-1,J,bi,bj) |
352 |
& * _recip_dxC(I ,J,bi,bj) |
353 |
AA3=AA2*uIce(I-1,J,1,bi,bj)* _maskW(I,J,1,bi,bj) |
354 |
ELSE IF(I.EQ.sNx) THEN |
355 |
AA1 = etaPlusZeta(I ,J,bi,bj) |
356 |
& * _recip_dxF(I ,J,bi,bj) |
357 |
& * _recip_dxC(I ,J,bi,bj) |
358 |
AA3=AA1*uIce(I+1,J,1,bi,bj) * _maskW(I,J,1,bi,bj) |
359 |
ELSE |
360 |
AA3=ZERO |
361 |
END IF |
362 |
URT(I)=FXY(I,J,bi,bj)+AA3 |
363 |
& +UVRT1(I,J,bi,bj)*uIce(I,J-1,1,bi,bj) |
364 |
& +UVRT2(I,J,bi,bj)*uIce(I,J+1,1,bi,bj) |
365 |
URT(I)=URT(I)* _maskW(I,J,1,bi,bj) * seaiceMaskU(I,J,bi,bj) |
366 |
END DO |
367 |
|
368 |
DO I=1,sNx |
369 |
CUU(I)=CU(I,J,bi,bj) |
370 |
END DO |
371 |
URT(1)=URT(1)/BU(1,J,bi,bj) |
372 |
DO I=2,sNx |
373 |
IM=I-1 |
374 |
CUU(I)=CUU(I)/(BU(I,J,bi,bj)-AU(I,J,bi,bj)*CUU(IM)) |
375 |
URT(I)=(URT(I)-AU(I,J,bi,bj)*URT(IM)) |
376 |
& /(BU(I,J,bi,bj)-AU(I,J,bi,bj)*CUU(IM)) |
377 |
END DO |
378 |
DO I=1,sNx-1 |
379 |
J1=sNx-I |
380 |
J2=J1+1 |
381 |
URT(J1)=URT(J1)-CUU(J1)*URT(J2) |
382 |
END DO |
383 |
DO I=1,sNx |
384 |
uIce(I,J,1,bi,bj)=uIce(I,J,3,bi,bj) |
385 |
& +WFAU*(URT(I)-uIce(I,J,3,bi,bj)) |
386 |
END DO |
387 |
|
388 |
1200 CONTINUE |
389 |
|
390 |
ENDDO |
391 |
ENDDO |
392 |
|
393 |
IF(MOD(M,SOLV_NCHECK).EQ.0) THEN |
394 |
DO bj=myByLo(myThid),myByHi(myThid) |
395 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
396 |
S1=ZERO |
397 |
DO J=1,sNy |
398 |
DO I=1,sNx |
399 |
UERR(I,J,bi,bj)=(uIce(I,J,1,bi,bj)-uIce(I,J,3,bi,bj)) |
400 |
& * _maskW(I,J,1,bi,bj) |
401 |
S1=MAX(ABS(UERR(I,J,bi,bj)),S1) |
402 |
END DO |
403 |
END DO |
404 |
_GLOBAL_MAX_R8( S1, myThid ) |
405 |
ENDDO |
406 |
ENDDO |
407 |
C SAFEGUARD AGAINST BAD FORCING ETC |
408 |
IF(M.GT.1.AND.S1.GT.S1A) WFAU=WFAU2 |
409 |
S1A=S1 |
410 |
IF(S1.LT.LSR_ERROR) THEN |
411 |
ICOUNT1=M |
412 |
cph( |
413 |
cph GO TO 8001 |
414 |
phexit = 1 |
415 |
cph) |
416 |
END IF |
417 |
END IF |
418 |
CALL SEAICE_EXCH_UV ( uIce, vIce, myThid ) |
419 |
|
420 |
cph( |
421 |
END IF |
422 |
cph) |
423 |
|
424 |
8000 CONTINUE |
425 |
cph 8001 CONTINUE |
426 |
C ITERATION END ----------------------------------------------------- |
427 |
|
428 |
IF ( debugLevel .GE. debLevB ) THEN |
429 |
_BEGIN_MASTER( myThid ) |
430 |
write(*,'(A,I6,1P2E22.14)')' U lsr iters, error = ',ICOUNT1,S1 |
431 |
_END_MASTER( myThid ) |
432 |
ENDIF |
433 |
|
434 |
C NOW FOR vIce |
435 |
DO bj=myByLo(myThid),myByHi(myThid) |
436 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
437 |
|
438 |
DO J=1,sNy |
439 |
DO I=1,sNx |
440 |
C coefficients for VICE(I,J) |
441 |
C d/dy [(eta+zeta) d/dy] V |
442 |
AA1= etaPlusZeta(I,J ,bi,bj) |
443 |
& *_recip_dyF(I,J ,bi,bj) * _recip_dyC(I,J,bi,bj) |
444 |
AA2= etaPlusZeta(I,J-1,bi,bj) |
445 |
& * _recip_dyF(I,J-1,bi,bj) * _recip_dyC(I,J,bi,bj) |
446 |
C d/dx [eta d/dx] V |
447 |
AA3= etaMeanZ(I+1,J,bi,bj) |
448 |
& * _recip_dxG(I,J,bi,bj) * _recip_dxV(I+1,J,bi,bj) |
449 |
AA4= etaMeanZ(I ,J,bi,bj) |
450 |
& *_recip_dxG(I,J,bi,bj) * _recip_dxV(I ,J,bi,bj) |
451 |
C d/dy [(zeta-eta) tanphi/a] V |
452 |
AA5= zetaMinusEta(I,J ,bi,bj) * tanPhiAtU(I,J ,bi,bj) |
453 |
& * _recip_dyC(I,J,bi,bj)*recip_rSphere * 0.5 _d 0 |
454 |
AA6= zetaMinusEta(I,J-1,bi,bj) * tanPhiAtU(I,J-1,bi,bj) |
455 |
& * _recip_dyC(I,J,bi,bj)*recip_rSphere * 0.5 _d 0 |
456 |
C 2*eta tanphi/a ( - tanphi/a - d/dy) V |
457 |
AA7=TWO*etaMeanV(I,J,bi,bj) * recip_rSphere |
458 |
& * _tanPhiAtV(I,J,bi,bj) |
459 |
C |
460 |
AV(I,J,bi,bj)=( |
461 |
& - AA2 |
462 |
& - AA6 |
463 |
& - AA7*1.0 _d 0 / ( _dyF(I,J,bi,bj) + _dyF(I,J-1,bi,bj) ) |
464 |
& )* _maskS(I,J,1,bi,bj) |
465 |
CV(I,J,bi,bj)=( |
466 |
& -AA1 |
467 |
& + AA5 |
468 |
& + AA7*1.0 _d 0 / ( _dyF(I,J,bi,bj) + _dyF(I,J-1,bi,bj) ) |
469 |
& )* _maskS(I,J,1,bi,bj) |
470 |
BV(I,J,bi,bj)= (ONE- _maskS(I,J,1,bi,bj)) |
471 |
& +( (AA1+AA2) + (AA3+AA4) + (AA5-AA6) |
472 |
& + AA7 * _tanPhiAtV(I,J,bi,bj)*recip_rSphere |
473 |
& + seaiceMassV(I,J,bi,bj)/SEAICE_deltaTdyn |
474 |
& + 0.5 _d 0 * ( DRAGS(I,J,bi,bj) + DRAGS(I,J-1,bi,bj) ) |
475 |
& )* _maskS(I,J,1,bi,bj) |
476 |
C coefficients for V(I-1,J) |
477 |
UVRT1(I,J,bi,bj)= AA4 |
478 |
C coefficients for V(I+1,J) |
479 |
UVRT2(I,J,bi,bj)= AA3 |
480 |
END DO |
481 |
END DO |
482 |
|
483 |
DO I=1,sNx |
484 |
AV(I,1,bi,bj)=ZERO |
485 |
CV(I,sNy,bi,bj)=ZERO |
486 |
CV(I,1,bi,bj)=CV(I,1,bi,bj)/BV(I,1,bi,bj) |
487 |
END DO |
488 |
|
489 |
C now set up right-hand-side |
490 |
DO J=1-Oly,sNy+Oly-1 |
491 |
DO I=1-Olx,sNx+Olx-1 |
492 |
dUdx(I,J) = ( uIceC(I+1,J,bi,bj) - uIceC(I,J,bi,bj) ) |
493 |
& * _recip_dxF(I,J,bi,bj) |
494 |
dUdy(I,J) = ( uIceC(I,J+1,bi,bj) - uIceC(I,J,bi,bj) ) |
495 |
& * _recip_dyU(I,J+1,bi,bj) |
496 |
ENDDO |
497 |
ENDDO |
498 |
DO J=1,sNy |
499 |
DO I=1,sNx |
500 |
C coriols and other foring |
501 |
FXY(I,J,bi,bj)= |
502 |
& -0.5*( seaiceMassC(I,J ,bi,bj) * _fCori(I,J ,bi,bj) |
503 |
& *0.5*( uIceC(i ,j ,bi,bj)+uIceC(i+1, j,bi,bj) ) |
504 |
& + seaiceMassC(I,J-1,bi,bj) * _fCori(I,J-1,bi,bj) |
505 |
& *0.5*( uIceC(i ,j-1,bi,bj)+uIceC(i+1,j-1,bi,bj) ) ) |
506 |
& + FORCEY(I,J,bi,bj) |
507 |
C + d/dy[ (zeta-eta) dU/dx ] |
508 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) + |
509 |
& ( zetaMinusEta(I,J ,bi,bj)*dUdx(I,J ) |
510 |
& - zetaMinusEta(I,J-1,bi,bj)*dUdx(I,J-1) ) |
511 |
& * _recip_dyC(I,J,bi,bj) |
512 |
C + d/dx[ eta dU/dy ] |
513 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) + |
514 |
& ( etaMeanZ(I+1,J ,bi,bj) * dUdy(I+1,J) |
515 |
& - etaMeanZ(I ,J ,bi,bj) * dUdy(I ,J)) |
516 |
& * _recip_dxG(I,J,bi,bj) |
517 |
C + d/dx[ eta * (tanphi/a) * U ] |
518 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) + ( |
519 |
& etaMeanZ(I+1,J,bi,bj) * 0.5 * |
520 |
& ( uIceC(I+1,J ,bi,bj) * _tanPhiAtU(I+1,J ,bi,bj) |
521 |
& + uIceC(I+1,J-1,bi,bj) * _tanPhiAtU(I+1,J-1,bi,bj) ) |
522 |
& - etaMeanZ(I ,J,bi,bj) * 0.5 * |
523 |
& ( uIceC(I ,J ,bi,bj) * _tanPhiAtU(I ,J ,bi,bj) |
524 |
& + uIceC(I ,J-1,bi,bj) * _tanPhiAtU(I ,J ,bi,bj) ) |
525 |
& ) * _recip_dxG(I,J,bi,bj)*recip_rSphere |
526 |
C + 2*eta*(tanphi/a) dU/dx |
527 |
FXY(I,J,bi,bj)=FXY(I,J,bi,bj) + |
528 |
& TWO * etaMeanV(I,J,bi,bj)*TWO * _tanPhiAtV(I,J,bi,bj) |
529 |
& * ( uIceC(I+1,J,bi,bj)+uIceC(I+1,J-1,bi,bj) |
530 |
& - uIceC(I ,J,bi,bj)-uIceC(I ,J-1,bi,bj) ) |
531 |
& * _recip_dxG(I,J,bi,bj) |
532 |
& *recip_rSphere |
533 |
END DO |
534 |
END DO |
535 |
|
536 |
ENDDO |
537 |
ENDDO |
538 |
|
539 |
C NOW DO ITERATION |
540 |
300 CONTINUE |
541 |
|
542 |
cph--- iteration starts here |
543 |
cph--- need to kick out goto |
544 |
phexit = -1 |
545 |
|
546 |
C ITERATION START ----------------------------------------------------- |
547 |
#ifdef ALLOW_AUTODIFF_TAMC |
548 |
CADJ LOOP = iteration vice |
549 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
550 |
|
551 |
DO 9000 M=1, solv_max_iters |
552 |
cph( |
553 |
IF ( phexit .EQ. -1 ) THEN |
554 |
cph) |
555 |
C NOW SET U(3)=U(1) |
556 |
DO bj=myByLo(myThid),myByHi(myThid) |
557 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
558 |
|
559 |
DO J=1,sNy |
560 |
DO I=1,sNx |
561 |
vIce(I,J,3,bi,bj)=vIce(I,J,1,bi,bj) |
562 |
END DO |
563 |
END DO |
564 |
|
565 |
DO I=1,sNx |
566 |
DO J=1,sNy |
567 |
IF(J.EQ.1) THEN |
568 |
AA2= etaPlusZeta(I,J-1,bi,bj) |
569 |
& * _recip_dyF(I,J-1,bi,bj) * _recip_dyC(I,J,bi,bj) |
570 |
AA3=( AA2 |
571 |
& + zetaMinusEta(I,J-1,bi,bj) * tanPhiAtU(I,J-1,bi,bj) |
572 |
& * _recip_dyC(I,J,bi,bj)*recip_rSphere |
573 |
& + TWO*etaMeanV(I,J,bi,bj) * recip_rSphere |
574 |
& * _tanPhiAtV(I,J,bi,bj) |
575 |
& *1.0 _d 0 / ( _dyF(I,J,bi,bj) + _dyF(I,J-1,bi,bj) ) |
576 |
& ) * vIce(I,J-1,1,bi,bj) * _maskS(I,J,1,bi,bj) |
577 |
ELSE IF(J.EQ.sNy) THEN |
578 |
AA1= etaPlusZeta(I,J ,bi,bj) |
579 |
& *_recip_dyF(I,J ,bi,bj) * _recip_dyC(I,J,bi,bj) |
580 |
AA3=( AA1 |
581 |
& - zetaMinusEta(I,J ,bi,bj) * tanPhiAtU(I,J ,bi,bj) |
582 |
& * _recip_dyC(I,J,bi,bj)*recip_rSphere |
583 |
& - TWO*etaMeanV(I,J,bi,bj) * recip_rSphere |
584 |
& * _tanPhiAtV(I,J,bi,bj) |
585 |
& *1.0 _d 0 / ( _dyF(I,J,bi,bj) + _dyF(I,J-1,bi,bj) ) |
586 |
& ) * vIce(I,J+1,1,bi,bj) * _maskS(I,J,1,bi,bj) |
587 |
ELSE |
588 |
AA3=ZERO |
589 |
END IF |
590 |
|
591 |
VRT(J)=FXY(I,J,bi,bj)+AA3+UVRT1(I,J,bi,bj)*vIce(I-1,J,1,bi,bj) |
592 |
& +UVRT2(I,J,bi,bj)*vIce(I+1,J,1,bi,bj) |
593 |
VRT(J)=VRT(J)* _maskS(I,J,1,bi,bj) * seaiceMaskV(I,J,bi,bj) |
594 |
END DO |
595 |
|
596 |
DO J=1,sNy |
597 |
CVV(J)=CV(I,J,bi,bj) |
598 |
END DO |
599 |
VRT(1)=VRT(1)/BV(I,1,bi,bj) |
600 |
DO J=2,sNy |
601 |
JM=J-1 |
602 |
CVV(J)=CVV(J)/(BV(I,J,bi,bj)-AV(I,J,bi,bj)*CVV(JM)) |
603 |
VRT(J)=(VRT(J)-AV(I,J,bi,bj)*VRT(JM)) |
604 |
& /(BV(I,J,bi,bj)-AV(I,J,bi,bj)*CVV(JM)) |
605 |
END DO |
606 |
DO J=1,sNy-1 |
607 |
J1=sNy-J |
608 |
J2=J1+1 |
609 |
VRT(J1)=VRT(J1)-CVV(J1)*VRT(J2) |
610 |
END DO |
611 |
DO J=1,sNy |
612 |
vIce(I,J,1,bi,bj)=vIce(I,J,3,bi,bj) |
613 |
& +WFAV*(VRT(J)-vIce(I,J,3,bi,bj)) |
614 |
END DO |
615 |
ENDDO |
616 |
|
617 |
ENDDO |
618 |
ENDDO |
619 |
|
620 |
IF(MOD(M,SOLV_NCHECK).EQ.0) THEN |
621 |
DO bj=myByLo(myThid),myByHi(myThid) |
622 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
623 |
S2=ZERO |
624 |
DO J=1,sNy |
625 |
DO I=1,sNx |
626 |
UERR(I,J,bi,bj)=(vIce(I,J,1,bi,bj)-vIce(I,J,3,bi,bj)) |
627 |
& * _maskS(I,J,1,bi,bj) |
628 |
S2=MAX(ABS(UERR(I,J,bi,bj)),S2) |
629 |
END DO |
630 |
END DO |
631 |
_GLOBAL_MAX_R8( S2, myThid ) |
632 |
ENDDO |
633 |
ENDDO |
634 |
C SAFEGUARD AGAINST BAD FORCING ETC |
635 |
IF(M.GT.1.AND.S2.GT.S2A) WFAV=WFAV2 |
636 |
S2A=S2 |
637 |
IF(S2.LT.LSR_ERROR) THEN |
638 |
ICOUNT2=M |
639 |
cph( |
640 |
cph GO TO 9001 |
641 |
phexit = 1 |
642 |
cph) |
643 |
END IF |
644 |
END IF |
645 |
|
646 |
CALL SEAICE_EXCH_UV ( uIce, vIce, myThid ) |
647 |
|
648 |
cph( |
649 |
END IF |
650 |
cph) |
651 |
|
652 |
9000 CONTINUE |
653 |
cph 9001 CONTINUE |
654 |
C ITERATION END ----------------------------------------------------- |
655 |
|
656 |
IF ( debugLevel .GE. debLevB ) THEN |
657 |
_BEGIN_MASTER( myThid ) |
658 |
write(*,'(A,I6,1P2E22.14)')' V lsr iters, error = ',ICOUNT2,S2 |
659 |
_END_MASTER( myThid ) |
660 |
ENDIF |
661 |
|
662 |
C APPLY MASKS |
663 |
DO bj=myByLo(myThid),myByHi(myThid) |
664 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
665 |
DO J=1-Oly,sNy+Oly |
666 |
DO I=1-Olx,sNx+Olx |
667 |
uIce(I,J,1,bi,bj)=uIce(I,J,1,bi,bj)* _maskW(I,J,1,bi,bj) |
668 |
vIce(I,J,1,bi,bj)=vIce(I,J,1,bi,bj)* _maskS(I,J,1,bi,bj) |
669 |
END DO |
670 |
END DO |
671 |
ENDDO |
672 |
ENDDO |
673 |
CML CALL SEAICE_EXCH_UV ( uIce, vIce, myThid ) |
674 |
|
675 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
676 |
#endif /* SEAICE_CGRID */ |
677 |
|
678 |
RETURN |
679 |
END |