1 | MODULE limadv |
---|
2 | !!====================================================================== |
---|
3 | !! *** MODULE limadv *** |
---|
4 | !! LIM sea-ice model : sea-ice advection |
---|
5 | !!====================================================================== |
---|
6 | #if defined key_ice_lim |
---|
7 | !!---------------------------------------------------------------------- |
---|
8 | !! 'key_ice_lim' LIM sea-ice model |
---|
9 | !!---------------------------------------------------------------------- |
---|
10 | !! lim_adv_x : advection of sea ice on x axis |
---|
11 | !! lim_adv_y : advection of sea ice on y axis |
---|
12 | !!---------------------------------------------------------------------- |
---|
13 | !! * Modules used |
---|
14 | USE dom_oce |
---|
15 | USE dom_ice |
---|
16 | USE ice_oce ! ice variables |
---|
17 | USE in_out_manager ! I/O manager |
---|
18 | USE lbclnk |
---|
19 | |
---|
20 | IMPLICIT NONE |
---|
21 | PRIVATE |
---|
22 | |
---|
23 | !! * Routine accessibility |
---|
24 | PUBLIC lim_adv_x ! called by lim_trp |
---|
25 | PUBLIC lim_adv_y ! called by lim_trp |
---|
26 | |
---|
27 | !! * Module variables |
---|
28 | REAL(wp) :: & ! constant values |
---|
29 | epsi20 = 1e-20 , & |
---|
30 | rzero = 0.e0 , & |
---|
31 | rone = 1.e0 |
---|
32 | !!---------------------------------------------------------------------- |
---|
33 | !! LIM 2.0, UCL-LOCEAN-IPSL (2005) |
---|
34 | !! $Header$ |
---|
35 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
---|
36 | !!---------------------------------------------------------------------- |
---|
37 | |
---|
38 | CONTAINS |
---|
39 | |
---|
40 | SUBROUTINE lim_adv_x( pdf, put , pcrh, psm , ps0 , & |
---|
41 | & psx, psxx, psy , psyy, psxy ) |
---|
42 | !!--------------------------------------------------------------------- |
---|
43 | !! ** routine lim_adv_x ** |
---|
44 | !! |
---|
45 | !! ** purpose : Computes and adds the advection trend to sea-ice |
---|
46 | !! variable on x axis |
---|
47 | !! |
---|
48 | !! ** method : Uses Prather second order scheme that advects |
---|
49 | !! tracers but also theirquadratic forms. The method preserves |
---|
50 | !! tracer structures by conserving second order moments. |
---|
51 | !! Ref.: "Numerical Advection by Conservation of Second Order |
---|
52 | !! Moments", JGR, VOL. 91. NO. D6. PAGES 6671-6681. MAY 20, 1986 |
---|
53 | !! |
---|
54 | !! History : |
---|
55 | !! ! 00-01 (LIM) |
---|
56 | !! ! 01-05 (G. Madec, R. Hordoir) opa norm |
---|
57 | !! ! 03-10 (C. Ethe) F90, module |
---|
58 | !! ! 03-12 (R. Hordoir, G. Madec) mpp |
---|
59 | !!-------------------------------------------------------------------- |
---|
60 | !! * Arguments |
---|
61 | REAL(wp) , INTENT(in) :: & |
---|
62 | pdf , & ! ??? |
---|
63 | pcrh ! = 1. : lim_adv_x is called before lim_adv_y |
---|
64 | ! ! = 0. : lim_adv_x is called after lim_adv_y |
---|
65 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: & |
---|
66 | put ! i-direction ice velocity at ocean U-point (m/s) |
---|
67 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: & |
---|
68 | ps0 , psm , & ! ??? |
---|
69 | psx , psy , & ! ??? |
---|
70 | psxx, psyy, psxy |
---|
71 | |
---|
72 | !! * Local declarations |
---|
73 | INTEGER :: ji, jj ! dummy loop indices |
---|
74 | REAL(wp) :: & |
---|
75 | zrdt, zslpmax, ztemp, zin0, & ! temporary scalars |
---|
76 | zs1max, zs1new, zs2new, & ! " " |
---|
77 | zalf, zalfq, zalf1, zalf1q, & ! " " |
---|
78 | zbt , zbt1 ! " " |
---|
79 | REAL(wp), DIMENSION(jpi,jpj) :: & ! temporary workspace |
---|
80 | zf0 , zfx , zfy , zbet, & ! " " |
---|
81 | zfxx, zfyy, zfxy, & ! " " |
---|
82 | zfm, zalg, zalg1, zalg1q ! " " |
---|
83 | !--------------------------------------------------------------------- |
---|
84 | |
---|
85 | ! Limitation of moments. |
---|
86 | |
---|
87 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
---|
88 | |
---|
89 | DO jj = 1, jpj |
---|
90 | DO ji = 1, jpi |
---|
91 | zslpmax = MAX( rzero, ps0(ji,jj) ) |
---|
92 | zs1max = 1.5 * zslpmax |
---|
93 | zs1new = MIN( zs1max, MAX( -zs1max, psx(ji,jj) ) ) |
---|
94 | zs2new = MIN( 2.0 * zslpmax - 0.3334 * ABS( zs1new ), & |
---|
95 | & MAX( ABS( zs1new ) - zslpmax, psxx(ji,jj) ) ) |
---|
96 | zin0 = ( 1.0 - MAX( rzero, sign ( rone, -zslpmax) ) ) * tms(ji,jj) ! Case of empty boxes & Apply mask |
---|
97 | |
---|
98 | ps0 (ji,jj) = zslpmax |
---|
99 | psx (ji,jj) = zs1new * zin0 |
---|
100 | psxx(ji,jj) = zs2new * zin0 |
---|
101 | psy (ji,jj) = psy (ji,jj) * zin0 |
---|
102 | psyy(ji,jj) = psyy(ji,jj) * zin0 |
---|
103 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * zin0 |
---|
104 | END DO |
---|
105 | END DO |
---|
106 | |
---|
107 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
---|
108 | psm (:,:) = MAX( pcrh * area(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
---|
109 | |
---|
110 | ! Calculate fluxes and moments between boxes i<-->i+1 |
---|
111 | DO jj = 2, jpjm1 ! Flux from i to i+1 WHEN u GT 0 |
---|
112 | !i bug DO ji = 1, jpim1 |
---|
113 | !i DO jj = 1, jpj ! Flux from i to i+1 WHEN u GT 0 |
---|
114 | DO ji = 1, jpi |
---|
115 | zbet(ji,jj) = MAX( rzero, SIGN( rone, put(ji,jj) ) ) |
---|
116 | zalf = MAX( rzero, put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji,jj) |
---|
117 | zalfq = zalf * zalf |
---|
118 | zalf1 = 1.0 - zalf |
---|
119 | zalf1q = zalf1 * zalf1 |
---|
120 | zfm (ji,jj) = zalf * psm(ji,jj) |
---|
121 | zf0 (ji,jj) = zalf * ( ps0(ji,jj) + zalf1 * ( psx(ji,jj) + (zalf1 - zalf) * psxx(ji,jj) ) ) |
---|
122 | zfx (ji,jj) = zalfq * ( psx(ji,jj) + 3.0 * zalf1 * psxx(ji,jj) ) |
---|
123 | zfxx(ji,jj) = zalf * zalfq * psxx(ji,jj) |
---|
124 | zfy (ji,jj) = zalf * ( psy(ji,jj) + zalf1 * psxy(ji,jj) ) |
---|
125 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
---|
126 | zfyy(ji,jj) = zalf * psyy(ji,jj) |
---|
127 | |
---|
128 | ! Readjust moments remaining in the box. |
---|
129 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
---|
130 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
---|
131 | psx (ji,jj) = zalf1q * ( psx(ji,jj) - 3.0 * zalf * psxx(ji,jj) ) |
---|
132 | psxx(ji,jj) = zalf1 * zalf1q * psxx(ji,jj) |
---|
133 | psy (ji,jj) = psy (ji,jj) - zfy(ji,jj) |
---|
134 | psyy(ji,jj) = psyy(ji,jj) - zfyy(ji,jj) |
---|
135 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
---|
136 | END DO |
---|
137 | END DO |
---|
138 | |
---|
139 | DO jj = 2, jpjm1 ! Flux from i+1 to i when u LT 0. |
---|
140 | !i DO jj = 1, jpjm1 ! Flux from i+1 to i when u LT 0. |
---|
141 | DO ji = 1, jpim1 |
---|
142 | zalf = MAX( rzero, -put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji+1,jj) |
---|
143 | zalg (ji,jj) = zalf |
---|
144 | zalfq = zalf * zalf |
---|
145 | zalf1 = 1.0 - zalf |
---|
146 | zalg1 (ji,jj) = zalf1 |
---|
147 | zalf1q = zalf1 * zalf1 |
---|
148 | zalg1q(ji,jj) = zalf1q |
---|
149 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm(ji+1,jj) |
---|
150 | zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0(ji+1,jj) - zalf1 * ( psx(ji+1,jj) - (zalf1 - zalf ) * psxx(ji+1,jj) ) ) |
---|
151 | zfx (ji,jj) = zfx (ji,jj) + zalfq * ( psx(ji+1,jj) - 3.0 * zalf1 * psxx(ji+1,jj) ) |
---|
152 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * zalfq * psxx(ji+1,jj) |
---|
153 | zfy (ji,jj) = zfy (ji,jj) + zalf * ( psy(ji+1,jj) - zalf1 * psxy(ji+1,jj) ) |
---|
154 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji+1,jj) |
---|
155 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji+1,jj) |
---|
156 | END DO |
---|
157 | END DO |
---|
158 | |
---|
159 | DO jj = 2, jpjm1 ! Readjust moments remaining in the box. |
---|
160 | DO ji = 2, jpim1 |
---|
161 | zbt = zbet(ji-1,jj) |
---|
162 | zbt1 = 1.0 - zbet(ji-1,jj) |
---|
163 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji-1,jj) ) |
---|
164 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji-1,jj) ) |
---|
165 | psx (ji,jj) = zalg1q(ji-1,jj) * ( psx(ji,jj) + 3.0 * zalg(ji-1,jj) * psxx(ji,jj) ) |
---|
166 | psxx(ji,jj) = zalg1 (ji-1,jj) * zalg1q(ji-1,jj) * psxx(ji,jj) |
---|
167 | psy (ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) - zfy (ji-1,jj) ) |
---|
168 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) - zfyy(ji-1,jj) ) |
---|
169 | psxy(ji,jj) = zalg1q(ji-1,jj) * psxy(ji,jj) |
---|
170 | END DO |
---|
171 | END DO |
---|
172 | |
---|
173 | ! Put the temporary moments into appropriate neighboring boxes. |
---|
174 | DO jj = 2, jpjm1 ! Flux from i to i+1 IF u GT 0. |
---|
175 | DO ji = 2, jpim1 |
---|
176 | zbt = zbet(ji-1,jj) |
---|
177 | zbt1 = 1.0 - zbet(ji-1,jj) |
---|
178 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji-1,jj) ) + zbt1 * psm(ji,jj) |
---|
179 | zalf = zbt * zfm(ji-1,jj) / psm(ji,jj) |
---|
180 | zalf1 = 1.0 - zalf |
---|
181 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji-1,jj) |
---|
182 | ps0(ji,jj) = zbt * (ps0(ji,jj) + zf0(ji-1,jj)) + zbt1 * ps0(ji,jj) |
---|
183 | psx(ji,jj) = zbt * ( zalf * zfx(ji-1,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) + zbt1 * psx(ji,jj) |
---|
184 | psxx(ji,jj) = zbt * ( zalf * zalf * zfxx(ji-1,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
---|
185 | & + 5.0 * ( zalf * zalf1 * ( psx (ji,jj) - zfx(ji-1,jj) ) - ( zalf1 - zalf ) * ztemp ) ) & |
---|
186 | & + zbt1 * psxx(ji,jj) |
---|
187 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji-1,jj) + zalf1 * psxy(ji,jj) & |
---|
188 | & + 3.0 * (- zalf1*zfy(ji-1,jj) + zalf * psy(ji,jj) ) ) & |
---|
189 | & + zbt1 * psxy(ji,jj) |
---|
190 | psy (ji,jj) = zbt * ( psy (ji,jj) + zfy (ji-1,jj) ) + zbt1 * psy (ji,jj) |
---|
191 | psyy(ji,jj) = zbt * ( psyy(ji,jj) + zfyy(ji-1,jj) ) + zbt1 * psyy(ji,jj) |
---|
192 | END DO |
---|
193 | END DO |
---|
194 | |
---|
195 | DO jj = 2, jpjm1 ! Flux from i+1 to i IF u LT 0. |
---|
196 | DO ji = 2, jpim1 |
---|
197 | zbt = zbet(ji,jj) |
---|
198 | zbt1 = 1.0 - zbet(ji,jj) |
---|
199 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
---|
200 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
---|
201 | zalf1 = 1.0 - zalf |
---|
202 | ztemp = -zalf * ps0(ji,jj) + zalf1 * zf0(ji,jj) |
---|
203 | ps0(ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
---|
204 | psx(ji,jj) = zbt * psx(ji,jj) & |
---|
205 | & + zbt1 * ( zalf * zfx(ji,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) |
---|
206 | psxx(ji,jj) = zbt * psxx(ji,jj) & |
---|
207 | & + zbt1 * ( zalf * zalf * zfxx(ji,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
---|
208 | & + 5.0 *( zalf * zalf1 * ( - psx(ji,jj) + zfx(ji,jj) ) + ( zalf1 - zalf ) * ztemp ) ) |
---|
209 | psxy(ji,jj) = zbt * psxy(ji,jj) & |
---|
210 | & + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
---|
211 | & + 3.0 * ( zalf1 * zfy(ji,jj) - zalf * psy(ji,jj) ) ) |
---|
212 | psy(ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) + zfy (ji,jj) ) |
---|
213 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) + zfyy(ji,jj) ) |
---|
214 | END DO |
---|
215 | END DO |
---|
216 | |
---|
217 | !-- Lateral boundary conditions |
---|
218 | CALL lbc_lnk( psm , 'T', 1. ) |
---|
219 | CALL lbc_lnk( ps0 , 'T', 1. ) |
---|
220 | CALL lbc_lnk( psx , 'T', 1. ) |
---|
221 | CALL lbc_lnk( psxx, 'T', 1. ) |
---|
222 | CALL lbc_lnk( psy , 'T', 1. ) |
---|
223 | CALL lbc_lnk( psyy, 'T', 1. ) |
---|
224 | CALL lbc_lnk( psxy, 'T', 1. ) |
---|
225 | |
---|
226 | IF(l_ctl) THEN |
---|
227 | WRITE(numout,*) ' lim_adv_x: psm ', SUM( psm (2:nictl,2:njctl) ), ' ps0 ', SUM( ps0 (2:nictl,2:njctl) ) |
---|
228 | WRITE(numout,*) ' lim_adv_x: psx ', SUM( psx (2:nictl,2:njctl) ), ' psxx ', SUM( psxx(2:nictl,2:njctl) ) |
---|
229 | WRITE(numout,*) ' lim_adv_x: psy ', SUM( psy (2:nictl,2:njctl) ), ' psyy ', SUM( psyy(2:nictl,2:njctl) ) |
---|
230 | WRITE(numout,*) ' lim_adv_x: psxy ', SUM( psxy(2:nictl,2:njctl) ) |
---|
231 | ENDIF |
---|
232 | |
---|
233 | END SUBROUTINE lim_adv_x |
---|
234 | |
---|
235 | |
---|
236 | SUBROUTINE lim_adv_y( pdf, pvt , pcrh, psm , ps0 , & |
---|
237 | & psx, psxx, psy , psyy, psxy ) |
---|
238 | !!--------------------------------------------------------------------- |
---|
239 | !! ** routine lim_adv_y ** |
---|
240 | !! |
---|
241 | !! ** purpose : Computes and adds the advection trend to sea-ice |
---|
242 | !! variable on y axis |
---|
243 | !! |
---|
244 | !! ** method : Uses Prather second order scheme that advects tracers |
---|
245 | !! but also their quadratic forms. The method preserves tracer |
---|
246 | !! structures by conserving second order moments. |
---|
247 | !! |
---|
248 | !! History : |
---|
249 | !! 1.0 ! 00-01 (LIM) |
---|
250 | !! ! 01-05 (G. Madec, R. Hordoir) opa norm |
---|
251 | !! 2.0 ! 03-10 (C. Ethe) F90, module |
---|
252 | !! ! 03-12 (R. Hordoir, G. Madec) mpp |
---|
253 | !!--------------------------------------------------------------------- |
---|
254 | !! * Arguments |
---|
255 | REAL(wp), INTENT(in) :: & |
---|
256 | pdf, & ! ??? |
---|
257 | pcrh ! = 1. : lim_adv_x is called before lim_adv_y |
---|
258 | ! ! = 0. : lim_adv_x is called after lim_adv_y |
---|
259 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: & |
---|
260 | pvt ! j-direction ice velocity at ocean V-point (m/s) |
---|
261 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: & |
---|
262 | psm , ps0 , psx , psy, & |
---|
263 | psxx, psyy, psxy |
---|
264 | |
---|
265 | !! * Local Variables |
---|
266 | INTEGER :: ji, jj ! dummy loop indices |
---|
267 | REAL(wp) :: & |
---|
268 | zrdt, zslpmax, zin0, ztemp, & ! temporary scalars |
---|
269 | zs1max, zs1new, zs2new, & ! " " |
---|
270 | zalf, zalfq, zalf1, zalf1q, & ! " " |
---|
271 | zbt , zbt1 ! |
---|
272 | REAL(wp), DIMENSION(jpi,jpj) :: & |
---|
273 | zf0 , zfx , zfy , & ! temporary workspace |
---|
274 | zfxx, zfyy, zfxy, & ! " " |
---|
275 | zfm , zbet, & ! " " |
---|
276 | zalg, zalg1, zalg1q ! " " |
---|
277 | !--------------------------------------------------------------------- |
---|
278 | |
---|
279 | ! Limitation of moments. |
---|
280 | |
---|
281 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
---|
282 | |
---|
283 | DO jj = 1, jpj |
---|
284 | DO ji = 1, jpi |
---|
285 | zslpmax = MAX( rzero, ps0(ji,jj) ) |
---|
286 | zs1max = 1.5 * zslpmax |
---|
287 | zs1new = MIN( zs1max, MAX( -zs1max, psy(ji,jj) ) ) |
---|
288 | zs2new = MIN( ( 2.0 * zslpmax - 0.3334 * ABS( zs1new ) ), & |
---|
289 | & MAX( ABS( zs1new )-zslpmax, psyy(ji,jj) ) ) |
---|
290 | zin0 = ( 1.0 - MAX( rzero, sign ( rone, -zslpmax) ) ) * tms(ji,jj) ! Case of empty boxes & Apply mask |
---|
291 | ps0 (ji,jj) = zslpmax |
---|
292 | psx (ji,jj) = psx (ji,jj) * zin0 |
---|
293 | psxx(ji,jj) = psxx(ji,jj) * zin0 |
---|
294 | psy (ji,jj) = zs1new * zin0 |
---|
295 | psyy(ji,jj) = zs2new * zin0 |
---|
296 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * zin0 |
---|
297 | END DO |
---|
298 | END DO |
---|
299 | |
---|
300 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
---|
301 | psm (:,:) = MAX( pcrh * area(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
---|
302 | |
---|
303 | ! Calculate fluxes and moments between boxes j<-->j+1 |
---|
304 | !!bug DO jj = 2, jpjm1 |
---|
305 | DO jj = 1, jpj |
---|
306 | DO ji = 2, jpim1 |
---|
307 | !!bug DO ji = 1, jpim1 |
---|
308 | ! Flux from j to j+1 WHEN v GT 0 |
---|
309 | zbet(ji,jj) = MAX( rzero, SIGN( rone, pvt(ji,jj) ) ) |
---|
310 | zalf = MAX( rzero, pvt(ji,jj) ) * zrdt * e1v(ji,jj) / psm(ji,jj) |
---|
311 | zalfq = zalf * zalf |
---|
312 | zalf1 = 1.0 - zalf |
---|
313 | zalf1q = zalf1 * zalf1 |
---|
314 | zfm (ji,jj) = zalf * psm(ji,jj) |
---|
315 | zf0 (ji,jj) = zalf * ( ps0(ji,jj) + zalf1 * ( psy(ji,jj) + (zalf1-zalf) * psyy(ji,jj) ) ) |
---|
316 | zfy (ji,jj) = zalfq *( psy(ji,jj) + 3.0*zalf1*psyy(ji,jj) ) |
---|
317 | zfyy(ji,jj) = zalf * zalfq * psyy(ji,jj) |
---|
318 | zfx (ji,jj) = zalf * ( psx(ji,jj) + zalf1 * psxy(ji,jj) ) |
---|
319 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
---|
320 | zfxx(ji,jj) = zalf * psxx(ji,jj) |
---|
321 | |
---|
322 | ! Readjust moments remaining in the box. |
---|
323 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
---|
324 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
---|
325 | psy (ji,jj) = zalf1q * ( psy(ji,jj) -3.0 * zalf * psyy(ji,jj) ) |
---|
326 | psyy(ji,jj) = zalf1 * zalf1q * psyy(ji,jj) |
---|
327 | psx (ji,jj) = psx (ji,jj) - zfx(ji,jj) |
---|
328 | psxx(ji,jj) = psxx(ji,jj) - zfxx(ji,jj) |
---|
329 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
---|
330 | END DO |
---|
331 | END DO |
---|
332 | |
---|
333 | DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. |
---|
334 | DO ji = 2, jpim1 |
---|
335 | !i DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. |
---|
336 | !i DO ji = 2, jpim1 |
---|
337 | zalf = ( MAX(rzero, -pvt(ji,jj) ) * zrdt * e1v(ji,jj) ) / psm(ji,jj+1) |
---|
338 | zalg (ji,jj) = zalf |
---|
339 | zalfq = zalf * zalf |
---|
340 | zalf1 = 1.0 - zalf |
---|
341 | zalg1 (ji,jj) = zalf1 |
---|
342 | zalf1q = zalf1 * zalf1 |
---|
343 | zalg1q(ji,jj) = zalf1q |
---|
344 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm(ji,jj+1) |
---|
345 | zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0(ji,jj+1) - zalf1 * (psy(ji,jj+1) - (zalf1 - zalf ) * psyy(ji,jj+1) ) ) |
---|
346 | zfy (ji,jj) = zfy (ji,jj) + zalfq * ( psy(ji,jj+1) - 3.0 * zalf1 * psyy(ji,jj+1) ) |
---|
347 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * zalfq * psyy(ji,jj+1) |
---|
348 | zfx (ji,jj) = zfx (ji,jj) + zalf * ( psx(ji,jj+1) - zalf1 * psxy(ji,jj+1) ) |
---|
349 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji,jj+1) |
---|
350 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji,jj+1) |
---|
351 | END DO |
---|
352 | END DO |
---|
353 | |
---|
354 | ! Readjust moments remaining in the box. |
---|
355 | DO jj = 2, jpjm1 |
---|
356 | DO ji = 2, jpim1 |
---|
357 | zbt = zbet(ji,jj-1) |
---|
358 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
---|
359 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji,jj-1) ) |
---|
360 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji,jj-1) ) |
---|
361 | psy (ji,jj) = zalg1q(ji,jj-1) * ( psy(ji,jj) + 3.0 * zalg(ji,jj-1) * psyy(ji,jj) ) |
---|
362 | psyy(ji,jj) = zalg1 (ji,jj-1) * zalg1q(ji,jj-1) * psyy(ji,jj) |
---|
363 | psx (ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) - zfx (ji,jj-1) ) |
---|
364 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) - zfxx(ji,jj-1) ) |
---|
365 | psxy(ji,jj) = zalg1q(ji,jj-1) * psxy(ji,jj) |
---|
366 | END DO |
---|
367 | END DO |
---|
368 | |
---|
369 | ! Put the temporary moments into appropriate neighboring boxes. |
---|
370 | DO jj = 2, jpjm1 ! Flux from j to j+1 IF v GT 0. |
---|
371 | DO ji = 2, jpim1 |
---|
372 | zbt = zbet(ji,jj-1) |
---|
373 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
---|
374 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji,jj-1) ) + zbt1 * psm(ji,jj) |
---|
375 | zalf = zbt * zfm(ji,jj-1) / psm(ji,jj) |
---|
376 | zalf1 = 1.0 - zalf |
---|
377 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji,jj-1) |
---|
378 | ps0(ji,jj) = zbt * (ps0(ji,jj) + zf0(ji,jj-1)) + zbt1 * ps0(ji,jj) |
---|
379 | |
---|
380 | psy(ji,jj) = zbt * ( zalf * zfy(ji,jj-1) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) & |
---|
381 | & + zbt1 * psy(ji,jj) |
---|
382 | |
---|
383 | psyy(ji,jj) = zbt * ( zalf * zalf * zfyy(ji,jj-1) + zalf1 * zalf1 * psyy(ji,jj) & |
---|
384 | & + 5.0 * ( zalf * zalf1 * ( psy(ji,jj) - zfy(ji,jj-1) ) - ( zalf1 - zalf ) * ztemp ) ) & |
---|
385 | & + zbt1 * psyy(ji,jj) |
---|
386 | |
---|
387 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji,jj-1) + zalf1 * psxy(ji,jj) & |
---|
388 | + 3.0 * (- zalf1 * zfx(ji,jj-1) + zalf * psx(ji,jj) ) ) & |
---|
389 | + zbt1 * psxy(ji,jj) |
---|
390 | psx (ji,jj) = zbt * ( psx (ji,jj) + zfx (ji,jj-1) ) + zbt1 * psx (ji,jj) |
---|
391 | psxx(ji,jj) = zbt * ( psxx(ji,jj) + zfxx(ji,jj-1) ) + zbt1 * psxx(ji,jj) |
---|
392 | END DO |
---|
393 | END DO |
---|
394 | |
---|
395 | DO jj = 2, jpjm1 ! Flux from j+1 to j IF v LT 0. |
---|
396 | DO ji = 2, jpim1 |
---|
397 | zbt = zbet(ji,jj) |
---|
398 | zbt1 = ( 1.0 - zbet(ji,jj) ) |
---|
399 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
---|
400 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
---|
401 | zalf1 = 1.0 - zalf |
---|
402 | ztemp = -zalf * ps0(ji,jj) + zalf1 * zf0(ji,jj) |
---|
403 | ps0(ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
---|
404 | psy(ji,jj) = zbt * psy(ji,jj) & |
---|
405 | & + zbt1 * ( zalf*zfy(ji,jj) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) |
---|
406 | psyy(ji,jj) = zbt * psyy(ji,jj) & |
---|
407 | & + zbt1 * ( zalf * zalf * zfyy(ji,jj) + zalf1 * zalf1 * psyy(ji,jj) & |
---|
408 | & + 5.0 *( zalf *zalf1 *( -psy(ji,jj) + zfy(ji,jj) ) + ( zalf1 - zalf ) * ztemp ) ) |
---|
409 | psxy(ji,jj) = zbt * psxy(ji,jj) & |
---|
410 | & + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
---|
411 | & + 3.0 * ( zalf1 * zfx(ji,jj) - zalf * psx(ji,jj) ) ) |
---|
412 | psx(ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) + zfx (ji,jj) ) |
---|
413 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) + zfxx(ji,jj) ) |
---|
414 | END DO |
---|
415 | END DO |
---|
416 | |
---|
417 | !-- Lateral boundary conditions |
---|
418 | CALL lbc_lnk( psm , 'T', 1. ) |
---|
419 | CALL lbc_lnk( ps0 , 'T', 1. ) |
---|
420 | CALL lbc_lnk( psx , 'T', 1. ) |
---|
421 | CALL lbc_lnk( psxx, 'T', 1. ) |
---|
422 | CALL lbc_lnk( psy , 'T', 1. ) |
---|
423 | CALL lbc_lnk( psyy, 'T', 1. ) |
---|
424 | CALL lbc_lnk( psxy, 'T', 1. ) |
---|
425 | |
---|
426 | IF(l_ctl) THEN |
---|
427 | WRITE(numout,*) ' lim_adv_y: psm ', SUM( psm (2:nictl,2:njctl) ), ' ps0 ', SUM( ps0 (2:nictl,2:njctl) ) |
---|
428 | WRITE(numout,*) ' lim_adv_y: psx ', SUM( psx (2:nictl,2:njctl) ), ' psxx ', SUM( psxx(2:nictl,2:njctl) ) |
---|
429 | WRITE(numout,*) ' lim_adv_y: psy ', SUM( psy (2:nictl,2:njctl) ), ' psyy ', SUM( psyy(2:nictl,2:njctl) ) |
---|
430 | WRITE(numout,*) ' lim_adv_y: psxy ', SUM( psxy(2:nictl,2:njctl) ) |
---|
431 | ENDIF |
---|
432 | |
---|
433 | END SUBROUTINE lim_adv_y |
---|
434 | |
---|
435 | #else |
---|
436 | !!---------------------------------------------------------------------- |
---|
437 | !! Default option Dummy module NO LIM sea-ice model |
---|
438 | !!---------------------------------------------------------------------- |
---|
439 | CONTAINS |
---|
440 | SUBROUTINE lim_adv_x ! Empty routine |
---|
441 | END SUBROUTINE lim_adv_x |
---|
442 | SUBROUTINE lim_adv_y ! Empty routine |
---|
443 | END SUBROUTINE lim_adv_y |
---|
444 | |
---|
445 | #endif |
---|
446 | |
---|
447 | END MODULE limadv |
---|