1 | MODULE limrhg |
---|
2 | !!====================================================================== |
---|
3 | !! *** MODULE limrhg *** |
---|
4 | !! Ice rheology : sea ice rheology |
---|
5 | !!====================================================================== |
---|
6 | !! History : - ! 2007-03 (M.A. Morales Maqueda, S. Bouillon) Original code |
---|
7 | !! 3.0 ! 2008-03 (M. Vancoppenolle) LIM3 |
---|
8 | !! - ! 2008-11 (M. Vancoppenolle, S. Bouillon, Y. Aksenov) add surface tilt in ice rheolohy |
---|
9 | !! 3.3 ! 2009-05 (G.Garric) addition of the lim2_evp cas |
---|
10 | !! 3.4 ! 2011-01 (A. Porter) dynamical allocation |
---|
11 | !! 3.5 ! 2012-08 (R. Benshila) AGRIF |
---|
12 | !!---------------------------------------------------------------------- |
---|
13 | #if defined key_lim3 || ( defined key_lim2 && ! defined key_lim2_vp ) |
---|
14 | !!---------------------------------------------------------------------- |
---|
15 | !! 'key_lim3' OR LIM-3 sea-ice model |
---|
16 | !! 'key_lim2' AND NOT 'key_lim2_vp' EVP LIM-2 sea-ice model |
---|
17 | !!---------------------------------------------------------------------- |
---|
18 | !! lim_rhg : computes ice velocities |
---|
19 | !!---------------------------------------------------------------------- |
---|
20 | USE phycst ! Physical constant |
---|
21 | USE oce , ONLY : snwice_mass, snwice_mass_b |
---|
22 | USE par_oce ! Ocean parameters |
---|
23 | USE dom_oce ! Ocean domain |
---|
24 | USE sbc_oce ! Surface boundary condition: ocean fields |
---|
25 | USE sbc_ice ! Surface boundary condition: ice fields |
---|
26 | #if defined key_lim3 |
---|
27 | USE ice ! LIM-3: ice variables |
---|
28 | USE dom_ice ! LIM-3: ice domain |
---|
29 | USE limitd_me ! LIM-3: |
---|
30 | #else |
---|
31 | USE ice_2 ! LIM-2: ice variables |
---|
32 | USE dom_ice_2 ! LIM-2: ice domain |
---|
33 | #endif |
---|
34 | USE lbclnk ! Lateral Boundary Condition / MPP link |
---|
35 | USE lib_mpp ! MPP library |
---|
36 | USE wrk_nemo ! work arrays |
---|
37 | USE in_out_manager ! I/O manager |
---|
38 | USE prtctl ! Print control |
---|
39 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
---|
40 | #if defined key_agrif && defined key_lim2 |
---|
41 | USE agrif_lim2_interp |
---|
42 | #endif |
---|
43 | #if defined key_bdy |
---|
44 | USE bdyice_lim |
---|
45 | #endif |
---|
46 | |
---|
47 | IMPLICIT NONE |
---|
48 | PRIVATE |
---|
49 | |
---|
50 | PUBLIC lim_rhg ! routine called by lim_dyn (or lim_dyn_2) |
---|
51 | |
---|
52 | REAL(wp) :: epsi10 = 1.e-10_wp ! |
---|
53 | REAL(wp) :: rzero = 0._wp ! constant values |
---|
54 | REAL(wp) :: rone = 1._wp ! constant values |
---|
55 | |
---|
56 | !! * Substitutions |
---|
57 | # include "vectopt_loop_substitute.h90" |
---|
58 | !!---------------------------------------------------------------------- |
---|
59 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
---|
60 | !! $Id$ |
---|
61 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
62 | !!---------------------------------------------------------------------- |
---|
63 | CONTAINS |
---|
64 | |
---|
65 | SUBROUTINE lim_rhg( k_j1, k_jpj ) |
---|
66 | !!------------------------------------------------------------------- |
---|
67 | !! *** SUBROUTINE lim_rhg *** |
---|
68 | !! EVP-C-grid |
---|
69 | !! |
---|
70 | !! ** purpose : determines sea ice drift from wind stress, ice-ocean |
---|
71 | !! stress and sea-surface slope. Ice-ice interaction is described by |
---|
72 | !! a non-linear elasto-viscous-plastic (EVP) law including shear |
---|
73 | !! strength and a bulk rheology (Hunke and Dukowicz, 2002). |
---|
74 | !! |
---|
75 | !! The points in the C-grid look like this, dear reader |
---|
76 | !! |
---|
77 | !! (ji,jj) |
---|
78 | !! | |
---|
79 | !! | |
---|
80 | !! (ji-1,jj) | (ji,jj) |
---|
81 | !! --------- |
---|
82 | !! | | |
---|
83 | !! | (ji,jj) |------(ji,jj) |
---|
84 | !! | | |
---|
85 | !! --------- |
---|
86 | !! (ji-1,jj-1) (ji,jj-1) |
---|
87 | !! |
---|
88 | !! ** Inputs : - wind forcing (stress), oceanic currents |
---|
89 | !! ice total volume (vt_i) per unit area |
---|
90 | !! snow total volume (vt_s) per unit area |
---|
91 | !! |
---|
92 | !! ** Action : - compute u_ice, v_ice : the components of the |
---|
93 | !! sea-ice velocity vector |
---|
94 | !! - compute delta_i, shear_i, divu_i, which are inputs |
---|
95 | !! of the ice thickness distribution |
---|
96 | !! |
---|
97 | !! ** Steps : 1) Compute ice snow mass, ice strength |
---|
98 | !! 2) Compute wind, oceanic stresses, mass terms and |
---|
99 | !! coriolis terms of the momentum equation |
---|
100 | !! 3) Solve the momentum equation (iterative procedure) |
---|
101 | !! 4) Prevent high velocities if the ice is thin |
---|
102 | !! 5) Recompute invariants of the strain rate tensor |
---|
103 | !! which are inputs of the ITD, store stress |
---|
104 | !! for the next time step |
---|
105 | !! 6) Control prints of residual (convergence) |
---|
106 | !! and charge ellipse. |
---|
107 | !! The user should make sure that the parameters |
---|
108 | !! nevp, telast and creepl maintain stress state |
---|
109 | !! on the charge ellipse for plastic flow |
---|
110 | !! e.g. in the Canadian Archipelago |
---|
111 | !! |
---|
112 | !! References : Hunke and Dukowicz, JPO97 |
---|
113 | !! Bouillon et al., Ocean Modelling 2009 |
---|
114 | !! Vancoppenolle et al., Ocean Modelling 2008 |
---|
115 | !!------------------------------------------------------------------- |
---|
116 | INTEGER, INTENT(in) :: k_j1 ! southern j-index for ice computation |
---|
117 | INTEGER, INTENT(in) :: k_jpj ! northern j-index for ice computation |
---|
118 | !! |
---|
119 | INTEGER :: ji, jj ! dummy loop indices |
---|
120 | INTEGER :: jter ! local integers |
---|
121 | CHARACTER (len=50) :: charout |
---|
122 | REAL(wp) :: zt11, zt12, zt21, zt22, ztagnx, ztagny, delta ! |
---|
123 | REAL(wp) :: za, zstms, zsang, zmask ! local scalars |
---|
124 | |
---|
125 | REAL(wp) :: dtevp ! time step for subcycling |
---|
126 | REAL(wp) :: dtotel, ecc2, ecci ! square of yield ellipse eccenticity |
---|
127 | REAL(wp) :: z0, zr, zcca, zccb ! temporary scalars |
---|
128 | REAL(wp) :: zu_ice2, zv_ice1 ! |
---|
129 | REAL(wp) :: zddc, zdtc, zzdst ! delta on corners and on centre |
---|
130 | REAL(wp) :: zdsshx, zdsshy ! term for the gradient of ocean surface |
---|
131 | REAL(wp) :: sigma1, sigma2 ! internal ice stress |
---|
132 | |
---|
133 | REAL(wp) :: zresm ! Maximal error on ice velocity |
---|
134 | REAL(wp) :: zindb ! ice (1) or not (0) |
---|
135 | REAL(wp) :: zdummy ! dummy argument |
---|
136 | REAL(wp) :: zintb, zintn ! dummy argument |
---|
137 | |
---|
138 | REAL(wp), POINTER, DIMENSION(:,:) :: zpresh ! temporary array for ice strength |
---|
139 | REAL(wp), POINTER, DIMENSION(:,:) :: zpreshc ! Ice strength on grid cell corners (zpreshc) |
---|
140 | REAL(wp), POINTER, DIMENSION(:,:) :: zfrld1, zfrld2 ! lead fraction on U/V points |
---|
141 | REAL(wp), POINTER, DIMENSION(:,:) :: zmass1, zmass2 ! ice/snow mass on U/V points |
---|
142 | REAL(wp), POINTER, DIMENSION(:,:) :: zcorl1, zcorl2 ! coriolis parameter on U/V points |
---|
143 | REAL(wp), POINTER, DIMENSION(:,:) :: za1ct , za2ct ! temporary arrays |
---|
144 | REAL(wp), POINTER, DIMENSION(:,:) :: zc1 ! ice mass |
---|
145 | REAL(wp), POINTER, DIMENSION(:,:) :: zusw ! temporary weight for ice strength computation |
---|
146 | REAL(wp), POINTER, DIMENSION(:,:) :: u_oce1, v_oce1 ! ocean u/v component on U points |
---|
147 | REAL(wp), POINTER, DIMENSION(:,:) :: u_oce2, v_oce2 ! ocean u/v component on V points |
---|
148 | REAL(wp), POINTER, DIMENSION(:,:) :: u_ice2, v_ice1 ! ice u/v component on V/U point |
---|
149 | REAL(wp), POINTER, DIMENSION(:,:) :: zf1 , zf2 ! arrays for internal stresses |
---|
150 | |
---|
151 | REAL(wp), POINTER, DIMENSION(:,:) :: zdd , zdt ! Divergence and tension at centre of grid cells |
---|
152 | REAL(wp), POINTER, DIMENSION(:,:) :: zds ! Shear on northeast corner of grid cells |
---|
153 | REAL(wp), POINTER, DIMENSION(:,:) :: zdst ! Shear on centre of grid cells |
---|
154 | REAL(wp), POINTER, DIMENSION(:,:) :: deltat, deltac ! Delta at centre and corners of grid cells |
---|
155 | REAL(wp), POINTER, DIMENSION(:,:) :: zs1 , zs2 ! Diagonal stress tensor components zs1 and zs2 |
---|
156 | REAL(wp), POINTER, DIMENSION(:,:) :: zs12 ! Non-diagonal stress tensor component zs12 |
---|
157 | REAL(wp), POINTER, DIMENSION(:,:) :: zu_ice, zv_ice, zresr ! Local error on velocity |
---|
158 | REAL(wp), POINTER, DIMENSION(:,:) :: zpice ! array used for the calculation of ice surface slope: |
---|
159 | ! ocean surface (ssh_m) if ice is not embedded |
---|
160 | ! ice top surface if ice is embedded |
---|
161 | !!------------------------------------------------------------------- |
---|
162 | |
---|
163 | CALL wrk_alloc( jpi,jpj, zpresh, zfrld1, zmass1, zcorl1, za1ct , zpreshc, zfrld2, zmass2, zcorl2, za2ct ) |
---|
164 | CALL wrk_alloc( jpi,jpj, zc1 , u_oce1, u_oce2, u_ice2, zusw , v_oce1 , v_oce2, v_ice1 ) |
---|
165 | CALL wrk_alloc( jpi,jpj, zf1 , deltat, zu_ice, zf2 , deltac, zv_ice , zdd , zdt , zds , zdst ) |
---|
166 | CALL wrk_alloc( jpi,jpj, zdd , zdt , zds , zs1 , zs2 , zs12 , zresr , zpice ) |
---|
167 | |
---|
168 | #if defined key_lim2 && ! defined key_lim2_vp |
---|
169 | # if defined key_agrif |
---|
170 | USE ice_2, vt_s => hsnm |
---|
171 | USE ice_2, vt_i => hicm |
---|
172 | # else |
---|
173 | vt_s => hsnm |
---|
174 | vt_i => hicm |
---|
175 | # endif |
---|
176 | at_i(:,:) = 1. - frld(:,:) |
---|
177 | #endif |
---|
178 | #if defined key_agrif && defined key_lim2 |
---|
179 | CALL agrif_rhg_lim2_load ! First interpolation of coarse values |
---|
180 | #endif |
---|
181 | ! |
---|
182 | !------------------------------------------------------------------------------! |
---|
183 | ! 1) Ice-Snow mass (zc1), ice strength (zpresh) ! |
---|
184 | !------------------------------------------------------------------------------! |
---|
185 | ! |
---|
186 | ! Put every vector to 0 |
---|
187 | zpresh (:,:) = 0._wp ; zc1 (:,:) = 0._wp |
---|
188 | zpreshc(:,:) = 0._wp |
---|
189 | u_ice2 (:,:) = 0._wp ; v_ice1(:,:) = 0._wp |
---|
190 | zdd (:,:) = 0._wp ; zdt (:,:) = 0._wp ; zds(:,:) = 0._wp |
---|
191 | |
---|
192 | #if defined key_lim3 |
---|
193 | CALL lim_itd_me_icestrength( ridge_scheme_swi ) ! LIM-3: Ice strength on T-points |
---|
194 | #endif |
---|
195 | |
---|
196 | !CDIR NOVERRCHK |
---|
197 | DO jj = k_j1 , k_jpj ! Ice mass and temp variables |
---|
198 | !CDIR NOVERRCHK |
---|
199 | DO ji = 1 , jpi |
---|
200 | zc1(ji,jj) = tms(ji,jj) * ( rhosn * vt_s(ji,jj) + rhoic * vt_i(ji,jj) ) |
---|
201 | #if defined key_lim3 |
---|
202 | zpresh(ji,jj) = tms(ji,jj) * strength(ji,jj) |
---|
203 | #endif |
---|
204 | #if defined key_lim2 |
---|
205 | zpresh(ji,jj) = tms(ji,jj) * pstar * vt_i(ji,jj) * EXP( -c_rhg * (1. - at_i(ji,jj) ) ) |
---|
206 | #endif |
---|
207 | ! tmi = 1 where there is ice or on land |
---|
208 | tmi(ji,jj) = 1._wp - ( 1._wp - MAX( 0._wp , SIGN ( 1._wp , vt_i(ji,jj) - epsd ) ) ) * tms(ji,jj) |
---|
209 | END DO |
---|
210 | END DO |
---|
211 | |
---|
212 | ! Ice strength on grid cell corners (zpreshc) |
---|
213 | ! needed for calculation of shear stress |
---|
214 | !CDIR NOVERRCHK |
---|
215 | DO jj = k_j1+1, k_jpj-1 |
---|
216 | !CDIR NOVERRCHK |
---|
217 | DO ji = 2, jpim1 !RB caution no fs_ (ji+1,jj+1) |
---|
218 | zstms = tms(ji+1,jj+1) * wght(ji+1,jj+1,2,2) + & |
---|
219 | & tms(ji,jj+1) * wght(ji+1,jj+1,1,2) + & |
---|
220 | & tms(ji+1,jj) * wght(ji+1,jj+1,2,1) + & |
---|
221 | & tms(ji,jj) * wght(ji+1,jj+1,1,1) |
---|
222 | zusw(ji,jj) = 1.0 / MAX( zstms, epsd ) |
---|
223 | zpreshc(ji,jj) = ( zpresh(ji+1,jj+1) * wght(ji+1,jj+1,2,2) + & |
---|
224 | & zpresh(ji,jj+1) * wght(ji+1,jj+1,1,2) + & |
---|
225 | & zpresh(ji+1,jj) * wght(ji+1,jj+1,2,1) + & |
---|
226 | & zpresh(ji,jj) * wght(ji+1,jj+1,1,1) & |
---|
227 | & ) * zusw(ji,jj) |
---|
228 | END DO |
---|
229 | END DO |
---|
230 | |
---|
231 | CALL lbc_lnk( zpreshc(:,:), 'F', 1. ) |
---|
232 | ! |
---|
233 | !------------------------------------------------------------------------------! |
---|
234 | ! 2) Wind / ocean stress, mass terms, coriolis terms |
---|
235 | !------------------------------------------------------------------------------! |
---|
236 | ! |
---|
237 | ! Wind stress, coriolis and mass terms on the sides of the squares |
---|
238 | ! zfrld1: lead fraction on U-points |
---|
239 | ! zfrld2: lead fraction on V-points |
---|
240 | ! zmass1: ice/snow mass on U-points |
---|
241 | ! zmass2: ice/snow mass on V-points |
---|
242 | ! zcorl1: Coriolis parameter on U-points |
---|
243 | ! zcorl2: Coriolis parameter on V-points |
---|
244 | ! (ztagnx,ztagny): wind stress on U/V points |
---|
245 | ! u_oce1: ocean u component on u points |
---|
246 | ! v_oce1: ocean v component on u points |
---|
247 | ! u_oce2: ocean u component on v points |
---|
248 | ! v_oce2: ocean v component on v points |
---|
249 | |
---|
250 | IF( nn_ice_embd == 2 ) THEN !== embedded sea ice: compute representative ice top surface ==! |
---|
251 | ! |
---|
252 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[n/nn_fsbc], n=0,nn_fsbc-1} |
---|
253 | ! = (1/nn_fsbc)^2 * {SUM[n], n=0,nn_fsbc-1} |
---|
254 | zintn = REAL( nn_fsbc - 1 ) / REAL( nn_fsbc ) * 0.5_wp |
---|
255 | ! |
---|
256 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[1-n/nn_fsbc], n=0,nn_fsbc-1} |
---|
257 | ! = (1/nn_fsbc)^2 * (nn_fsbc^2 - {SUM[n], n=0,nn_fsbc-1}) |
---|
258 | zintb = REAL( nn_fsbc + 1 ) / REAL( nn_fsbc ) * 0.5_wp |
---|
259 | ! |
---|
260 | zpice(:,:) = ssh_m(:,:) + ( zintn * snwice_mass(:,:) + zintb * snwice_mass_b(:,:) ) * r1_rau0 |
---|
261 | ! |
---|
262 | ELSE !== non-embedded sea ice: use ocean surface for slope calculation ==! |
---|
263 | zpice(:,:) = ssh_m(:,:) |
---|
264 | ENDIF |
---|
265 | |
---|
266 | DO jj = k_j1+1, k_jpj-1 |
---|
267 | DO ji = fs_2, fs_jpim1 |
---|
268 | |
---|
269 | zt11 = tms(ji ,jj) * e1t(ji ,jj) |
---|
270 | zt12 = tms(ji+1,jj) * e1t(ji+1,jj) |
---|
271 | zt21 = tms(ji,jj ) * e2t(ji,jj ) |
---|
272 | zt22 = tms(ji,jj+1) * e2t(ji,jj+1) |
---|
273 | |
---|
274 | ! Leads area. |
---|
275 | zfrld1(ji,jj) = ( zt12 * ( 1.0 - at_i(ji,jj) ) + zt11 * ( 1.0 - at_i(ji+1,jj) ) ) / ( zt11 + zt12 + epsd ) |
---|
276 | zfrld2(ji,jj) = ( zt22 * ( 1.0 - at_i(ji,jj) ) + zt21 * ( 1.0 - at_i(ji,jj+1) ) ) / ( zt21 + zt22 + epsd ) |
---|
277 | |
---|
278 | ! Mass, coriolis coeff. and currents |
---|
279 | zmass1(ji,jj) = ( zt12*zc1(ji,jj) + zt11*zc1(ji+1,jj) ) / (zt11+zt12+epsd) |
---|
280 | zmass2(ji,jj) = ( zt22*zc1(ji,jj) + zt21*zc1(ji,jj+1) ) / (zt21+zt22+epsd) |
---|
281 | zcorl1(ji,jj) = zmass1(ji,jj) * ( e1t(ji+1,jj)*fcor(ji,jj) + e1t(ji,jj)*fcor(ji+1,jj) ) & |
---|
282 | & / ( e1t(ji,jj) + e1t(ji+1,jj) + epsd ) |
---|
283 | zcorl2(ji,jj) = zmass2(ji,jj) * ( e2t(ji,jj+1)*fcor(ji,jj) + e2t(ji,jj)*fcor(ji,jj+1) ) & |
---|
284 | & / ( e2t(ji,jj+1) + e2t(ji,jj) + epsd ) |
---|
285 | ! |
---|
286 | u_oce1(ji,jj) = u_oce(ji,jj) |
---|
287 | v_oce2(ji,jj) = v_oce(ji,jj) |
---|
288 | |
---|
289 | ! Ocean has no slip boundary condition |
---|
290 | v_oce1(ji,jj) = 0.5*( (v_oce(ji,jj)+v_oce(ji,jj-1))*e1t(ji,jj) & |
---|
291 | & +(v_oce(ji+1,jj)+v_oce(ji+1,jj-1))*e1t(ji+1,jj)) & |
---|
292 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
293 | |
---|
294 | u_oce2(ji,jj) = 0.5*((u_oce(ji,jj)+u_oce(ji-1,jj))*e2t(ji,jj) & |
---|
295 | & +(u_oce(ji,jj+1)+u_oce(ji-1,jj+1))*e2t(ji,jj+1)) & |
---|
296 | & / (e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
297 | |
---|
298 | ! Wind stress at U,V-point |
---|
299 | ztagnx = ( 1. - zfrld1(ji,jj) ) * utau_ice(ji,jj) |
---|
300 | ztagny = ( 1. - zfrld2(ji,jj) ) * vtau_ice(ji,jj) |
---|
301 | |
---|
302 | ! Computation of the velocity field taking into account the ice internal interaction. |
---|
303 | ! Terms that are independent of the velocity field. |
---|
304 | |
---|
305 | ! SB On utilise maintenant le gradient de la pente de l'ocean |
---|
306 | ! include it later |
---|
307 | |
---|
308 | zdsshx = ( zpice(ji+1,jj) - zpice(ji,jj) ) / e1u(ji,jj) |
---|
309 | zdsshy = ( zpice(ji,jj+1) - zpice(ji,jj) ) / e2v(ji,jj) |
---|
310 | |
---|
311 | za1ct(ji,jj) = ztagnx - zmass1(ji,jj) * grav * zdsshx |
---|
312 | za2ct(ji,jj) = ztagny - zmass2(ji,jj) * grav * zdsshy |
---|
313 | |
---|
314 | END DO |
---|
315 | END DO |
---|
316 | |
---|
317 | ! |
---|
318 | !------------------------------------------------------------------------------! |
---|
319 | ! 3) Solution of the momentum equation, iterative procedure |
---|
320 | !------------------------------------------------------------------------------! |
---|
321 | ! |
---|
322 | ! Time step for subcycling |
---|
323 | dtevp = rdt_ice / nevp |
---|
324 | dtotel = dtevp / ( 2._wp * telast ) |
---|
325 | |
---|
326 | !-ecc2: square of yield ellipse eccenticrity (reminder: must become a namelist parameter) |
---|
327 | ecc2 = ecc * ecc |
---|
328 | ecci = 1. / ecc2 |
---|
329 | |
---|
330 | !-Initialise stress tensor |
---|
331 | zs1 (:,:) = stress1_i (:,:) |
---|
332 | zs2 (:,:) = stress2_i (:,:) |
---|
333 | zs12(:,:) = stress12_i(:,:) |
---|
334 | |
---|
335 | ! !----------------------! |
---|
336 | DO jter = 1 , nevp ! loop over jter ! |
---|
337 | ! !----------------------! |
---|
338 | DO jj = k_j1, k_jpj-1 |
---|
339 | zu_ice(:,jj) = u_ice(:,jj) ! velocity at previous time step |
---|
340 | zv_ice(:,jj) = v_ice(:,jj) |
---|
341 | END DO |
---|
342 | |
---|
343 | DO jj = k_j1+1, k_jpj-1 |
---|
344 | DO ji = fs_2, jpim1 !RB bug no vect opt due to tmi |
---|
345 | |
---|
346 | ! |
---|
347 | !- Divergence, tension and shear (Section a. Appendix B of Hunke & Dukowicz, 2002) |
---|
348 | !- zdd(:,:), zdt(:,:): divergence and tension at centre of grid cells |
---|
349 | !- zds(:,:): shear on northeast corner of grid cells |
---|
350 | ! |
---|
351 | !- IMPORTANT REMINDER: Dear Gurvan, note that, the way these terms are coded, |
---|
352 | ! there are many repeated calculations. |
---|
353 | ! Speed could be improved by regrouping terms. For |
---|
354 | ! the moment, however, the stress is on clarity of coding to avoid |
---|
355 | ! bugs (Martin, for Miguel). |
---|
356 | ! |
---|
357 | !- ALSO: arrays zdd, zdt, zds and delta could |
---|
358 | ! be removed in the future to minimise memory demand. |
---|
359 | ! |
---|
360 | !- MORE NOTES: Note that we are calculating deformation rates and stresses on the corners of |
---|
361 | ! grid cells, exactly as in the B grid case. For simplicity, the indexation on |
---|
362 | ! the corners is the same as in the B grid. |
---|
363 | ! |
---|
364 | ! |
---|
365 | zdd(ji,jj) = ( e2u(ji,jj)*u_ice(ji,jj) & |
---|
366 | & -e2u(ji-1,jj)*u_ice(ji-1,jj) & |
---|
367 | & +e1v(ji,jj)*v_ice(ji,jj) & |
---|
368 | & -e1v(ji,jj-1)*v_ice(ji,jj-1) & |
---|
369 | & ) & |
---|
370 | & / area(ji,jj) |
---|
371 | |
---|
372 | zdt(ji,jj) = ( ( u_ice(ji,jj)/e2u(ji,jj) & |
---|
373 | & -u_ice(ji-1,jj)/e2u(ji-1,jj) & |
---|
374 | & )*e2t(ji,jj)*e2t(ji,jj) & |
---|
375 | & -( v_ice(ji,jj)/e1v(ji,jj) & |
---|
376 | & -v_ice(ji,jj-1)/e1v(ji,jj-1) & |
---|
377 | & )*e1t(ji,jj)*e1t(ji,jj) & |
---|
378 | & ) & |
---|
379 | & / area(ji,jj) |
---|
380 | |
---|
381 | ! |
---|
382 | zds(ji,jj) = ( ( u_ice(ji,jj+1)/e1u(ji,jj+1) & |
---|
383 | & -u_ice(ji,jj)/e1u(ji,jj) & |
---|
384 | & )*e1f(ji,jj)*e1f(ji,jj) & |
---|
385 | & +( v_ice(ji+1,jj)/e2v(ji+1,jj) & |
---|
386 | & -v_ice(ji,jj)/e2v(ji,jj) & |
---|
387 | & )*e2f(ji,jj)*e2f(ji,jj) & |
---|
388 | & ) & |
---|
389 | & / ( e1f(ji,jj) * e2f(ji,jj) ) * ( 2.0 - tmf(ji,jj) ) & |
---|
390 | & * tmi(ji,jj) * tmi(ji,jj+1) & |
---|
391 | & * tmi(ji+1,jj) * tmi(ji+1,jj+1) |
---|
392 | |
---|
393 | |
---|
394 | v_ice1(ji,jj) = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji+1,jj) & |
---|
395 | & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji,jj)) & |
---|
396 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
397 | |
---|
398 | u_ice2(ji,jj) = 0.5*( (u_ice(ji,jj)+u_ice(ji-1,jj))*e2t(ji,jj+1) & |
---|
399 | & +(u_ice(ji,jj+1)+u_ice(ji-1,jj+1))*e2t(ji,jj)) & |
---|
400 | & /(e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
401 | |
---|
402 | END DO |
---|
403 | END DO |
---|
404 | CALL lbc_lnk( v_ice1, 'U', -1. ) ; CALL lbc_lnk( u_ice2, 'V', -1. ) ! lateral boundary cond. |
---|
405 | |
---|
406 | !CDIR NOVERRCHK |
---|
407 | DO jj = k_j1+1, k_jpj-1 |
---|
408 | !CDIR NOVERRCHK |
---|
409 | DO ji = fs_2, fs_jpim1 |
---|
410 | |
---|
411 | !- Calculate Delta at centre of grid cells |
---|
412 | zzdst = ( e2u(ji , jj) * v_ice1(ji ,jj) & |
---|
413 | & - e2u(ji-1, jj) * v_ice1(ji-1,jj) & |
---|
414 | & + e1v(ji, jj ) * u_ice2(ji,jj ) & |
---|
415 | & - e1v(ji, jj-1) * u_ice2(ji,jj-1) & |
---|
416 | & ) & |
---|
417 | & / area(ji,jj) |
---|
418 | |
---|
419 | delta = SQRT( zdd(ji,jj)*zdd(ji,jj) + ( zdt(ji,jj)*zdt(ji,jj) + zzdst*zzdst ) * usecc2 ) |
---|
420 | ! MV rewriting |
---|
421 | ! deltat(ji,jj) = MAX( SQRT(zdd(ji,jj)**2 + (zdt(ji,jj)**2 + zzdst**2)*usecc2), creepl ) |
---|
422 | !!gm faster to replace the line above with simply: |
---|
423 | !! deltat(ji,jj) = MAX( delta, creepl ) |
---|
424 | !!gm end |
---|
425 | deltat(ji,jj) = delta + creepl |
---|
426 | ! END MV |
---|
427 | !-Calculate stress tensor components zs1 and zs2 |
---|
428 | !-at centre of grid cells (see section 3.5 of CICE user's guide). |
---|
429 | !zs1(ji,jj) = ( zs1(ji,jj) - dtotel*( ( 1._wp - alphaevp) * zs1(ji,jj) + & |
---|
430 | ! & ( delta / deltat(ji,jj) - zdd(ji,jj) / deltat(ji,jj) ) * zpresh(ji,jj) ) ) & |
---|
431 | ! & / ( 1._wp + alphaevp * dtotel ) |
---|
432 | |
---|
433 | !zs2(ji,jj) = ( zs2(ji,jj) - dtotel * ( ( 1._wp - alphaevp ) * ecc2 * zs2(ji,jj) - & |
---|
434 | ! zdt(ji,jj) / deltat(ji,jj) * zpresh(ji,jj) ) ) & |
---|
435 | ! & / ( 1._wp + alphaevp * ecc2 * dtotel ) |
---|
436 | |
---|
437 | ! new formulation from S. Bouillon to help stabilizing the code (no need of alphaevp) |
---|
438 | zs1(ji,jj) = ( zs1(ji,jj) + dtotel * ( ( zdd(ji,jj) / deltat(ji,jj) - delta / deltat(ji,jj) ) & |
---|
439 | & * zpresh(ji,jj) ) ) / ( 1._wp + dtotel ) |
---|
440 | zs2(ji,jj) = ( zs2(ji,jj) + dtotel * ( ecci * zdt(ji,jj) / deltat(ji,jj) * zpresh(ji,jj) ) ) & |
---|
441 | & / ( 1._wp + dtotel ) |
---|
442 | |
---|
443 | END DO |
---|
444 | END DO |
---|
445 | |
---|
446 | CALL lbc_lnk( zs1(:,:), 'T', 1. ) |
---|
447 | CALL lbc_lnk( zs2(:,:), 'T', 1. ) |
---|
448 | |
---|
449 | !CDIR NOVERRCHK |
---|
450 | DO jj = k_j1+1, k_jpj-1 |
---|
451 | !CDIR NOVERRCHK |
---|
452 | DO ji = fs_2, fs_jpim1 |
---|
453 | !- Calculate Delta on corners |
---|
454 | zddc = ( ( v_ice1(ji,jj+1)/e1u(ji,jj+1) & |
---|
455 | & -v_ice1(ji,jj)/e1u(ji,jj) & |
---|
456 | & )*e1f(ji,jj)*e1f(ji,jj) & |
---|
457 | & +( u_ice2(ji+1,jj)/e2v(ji+1,jj) & |
---|
458 | & -u_ice2(ji,jj)/e2v(ji,jj) & |
---|
459 | & )*e2f(ji,jj)*e2f(ji,jj) & |
---|
460 | & ) & |
---|
461 | & / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
462 | |
---|
463 | zdtc = (-( v_ice1(ji,jj+1)/e1u(ji,jj+1) & |
---|
464 | & -v_ice1(ji,jj)/e1u(ji,jj) & |
---|
465 | & )*e1f(ji,jj)*e1f(ji,jj) & |
---|
466 | & +( u_ice2(ji+1,jj)/e2v(ji+1,jj) & |
---|
467 | & -u_ice2(ji,jj)/e2v(ji,jj) & |
---|
468 | & )*e2f(ji,jj)*e2f(ji,jj) & |
---|
469 | & ) & |
---|
470 | & / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
471 | |
---|
472 | deltac(ji,jj) = SQRT(zddc**2+(zdtc**2+zds(ji,jj)**2)*usecc2) + creepl |
---|
473 | |
---|
474 | !-Calculate stress tensor component zs12 at corners (see section 3.5 of CICE user's guide). |
---|
475 | !zs12(ji,jj) = ( zs12(ji,jj) - dtotel * ( (1.0-alphaevp) * ecc2 * zs12(ji,jj) - zds(ji,jj) / & |
---|
476 | ! & ( 2._wp * deltac(ji,jj) ) * zpreshc(ji,jj) ) ) & |
---|
477 | ! & / ( 1._wp + alphaevp * ecc2 * dtotel ) |
---|
478 | |
---|
479 | ! new formulation from S. Bouillon to help stabilizing the code (no need of alphaevp) |
---|
480 | zs12(ji,jj) = ( zs12(ji,jj) + dtotel * & |
---|
481 | & ( ecci * zds(ji,jj) / ( 2._wp * deltac(ji,jj) ) * zpreshc(ji,jj) ) ) & |
---|
482 | & / ( 1.0 + dtotel ) |
---|
483 | |
---|
484 | END DO ! ji |
---|
485 | END DO ! jj |
---|
486 | |
---|
487 | CALL lbc_lnk( zs12(:,:), 'F', 1. ) |
---|
488 | |
---|
489 | ! Ice internal stresses (Appendix C of Hunke and Dukowicz, 2002) |
---|
490 | DO jj = k_j1+1, k_jpj-1 |
---|
491 | DO ji = fs_2, fs_jpim1 |
---|
492 | !- contribution of zs1, zs2 and zs12 to zf1 |
---|
493 | zf1(ji,jj) = 0.5*( (zs1(ji+1,jj)-zs1(ji,jj))*e2u(ji,jj) & |
---|
494 | & +(zs2(ji+1,jj)*e2t(ji+1,jj)**2-zs2(ji,jj)*e2t(ji,jj)**2)/e2u(ji,jj) & |
---|
495 | & +2.0*(zs12(ji,jj)*e1f(ji,jj)**2-zs12(ji,jj-1)*e1f(ji,jj-1)**2)/e1u(ji,jj) & |
---|
496 | & ) / ( e1u(ji,jj)*e2u(ji,jj) ) |
---|
497 | ! contribution of zs1, zs2 and zs12 to zf2 |
---|
498 | zf2(ji,jj) = 0.5*( (zs1(ji,jj+1)-zs1(ji,jj))*e1v(ji,jj) & |
---|
499 | & -(zs2(ji,jj+1)*e1t(ji,jj+1)**2 - zs2(ji,jj)*e1t(ji,jj)**2)/e1v(ji,jj) & |
---|
500 | & + 2.0*(zs12(ji,jj)*e2f(ji,jj)**2 - & |
---|
501 | zs12(ji-1,jj)*e2f(ji-1,jj)**2)/e2v(ji,jj) & |
---|
502 | & ) / ( e1v(ji,jj)*e2v(ji,jj) ) |
---|
503 | END DO |
---|
504 | END DO |
---|
505 | ! |
---|
506 | ! Computation of ice velocity |
---|
507 | ! |
---|
508 | ! Both the Coriolis term and the ice-ocean drag are solved semi-implicitly. |
---|
509 | ! |
---|
510 | IF (MOD(jter,2).eq.0) THEN |
---|
511 | |
---|
512 | !CDIR NOVERRCHK |
---|
513 | DO jj = k_j1+1, k_jpj-1 |
---|
514 | !CDIR NOVERRCHK |
---|
515 | DO ji = fs_2, fs_jpim1 |
---|
516 | zmask = (1.0-MAX(rzero,SIGN(rone,-zmass1(ji,jj))))*tmu(ji,jj) |
---|
517 | zsang = SIGN ( 1.0 , fcor(ji,jj) ) * sangvg |
---|
518 | z0 = zmass1(ji,jj)/dtevp |
---|
519 | |
---|
520 | ! SB modif because ocean has no slip boundary condition |
---|
521 | zv_ice1 = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji,jj) & |
---|
522 | & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji+1,jj)) & |
---|
523 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
524 | za = rhoco*SQRT((u_ice(ji,jj)-u_oce1(ji,jj))**2 + & |
---|
525 | (zv_ice1-v_oce1(ji,jj))**2) * (1.0-zfrld1(ji,jj)) |
---|
526 | zr = z0*u_ice(ji,jj) + zf1(ji,jj) + za1ct(ji,jj) + & |
---|
527 | za*(cangvg*u_oce1(ji,jj)-zsang*v_oce1(ji,jj)) |
---|
528 | zcca = z0+za*cangvg |
---|
529 | zccb = zcorl1(ji,jj)+za*zsang |
---|
530 | u_ice(ji,jj) = (zr+zccb*zv_ice1)/(zcca+epsd)*zmask |
---|
531 | |
---|
532 | END DO |
---|
533 | END DO |
---|
534 | |
---|
535 | CALL lbc_lnk( u_ice(:,:), 'U', -1. ) |
---|
536 | #if defined key_agrif && defined key_lim2 |
---|
537 | CALL agrif_rhg_lim2( jter, nevp, 'U' ) |
---|
538 | #endif |
---|
539 | #if defined key_bdy |
---|
540 | ! clem: change u_ice and v_ice at the boundary for each iteration |
---|
541 | CALL bdy_ice_lim_dyn( 'U' ) |
---|
542 | #endif |
---|
543 | |
---|
544 | !CDIR NOVERRCHK |
---|
545 | DO jj = k_j1+1, k_jpj-1 |
---|
546 | !CDIR NOVERRCHK |
---|
547 | DO ji = fs_2, fs_jpim1 |
---|
548 | |
---|
549 | zmask = (1.0-MAX(rzero,SIGN(rone,-zmass2(ji,jj))))*tmv(ji,jj) |
---|
550 | zsang = SIGN(1.0,fcor(ji,jj))*sangvg |
---|
551 | z0 = zmass2(ji,jj)/dtevp |
---|
552 | ! SB modif because ocean has no slip boundary condition |
---|
553 | zu_ice2 = 0.5*( (u_ice(ji,jj)+u_ice(ji-1,jj))*e2t(ji,jj) & |
---|
554 | & + (u_ice(ji,jj+1)+u_ice(ji-1,jj+1))*e2t(ji,jj+1)) & |
---|
555 | & /(e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
556 | za = rhoco*SQRT((zu_ice2-u_oce2(ji,jj))**2 + & |
---|
557 | (v_ice(ji,jj)-v_oce2(ji,jj))**2)*(1.0-zfrld2(ji,jj)) |
---|
558 | zr = z0*v_ice(ji,jj) + zf2(ji,jj) + & |
---|
559 | za2ct(ji,jj) + za*(cangvg*v_oce2(ji,jj)+zsang*u_oce2(ji,jj)) |
---|
560 | zcca = z0+za*cangvg |
---|
561 | zccb = zcorl2(ji,jj)+za*zsang |
---|
562 | v_ice(ji,jj) = (zr-zccb*zu_ice2)/(zcca+epsd)*zmask |
---|
563 | |
---|
564 | END DO |
---|
565 | END DO |
---|
566 | |
---|
567 | CALL lbc_lnk( v_ice(:,:), 'V', -1. ) |
---|
568 | #if defined key_agrif && defined key_lim2 |
---|
569 | CALL agrif_rhg_lim2( jter, nevp, 'V' ) |
---|
570 | #endif |
---|
571 | #if defined key_bdy |
---|
572 | ! clem: change u_ice and v_ice at the boundary for each iteration |
---|
573 | CALL bdy_ice_lim_dyn( 'V' ) |
---|
574 | #endif |
---|
575 | |
---|
576 | ELSE |
---|
577 | !CDIR NOVERRCHK |
---|
578 | DO jj = k_j1+1, k_jpj-1 |
---|
579 | !CDIR NOVERRCHK |
---|
580 | DO ji = fs_2, fs_jpim1 |
---|
581 | zmask = (1.0-MAX(rzero,SIGN(rone,-zmass2(ji,jj))))*tmv(ji,jj) |
---|
582 | zsang = SIGN(1.0,fcor(ji,jj))*sangvg |
---|
583 | z0 = zmass2(ji,jj)/dtevp |
---|
584 | ! SB modif because ocean has no slip boundary condition |
---|
585 | zu_ice2 = 0.5*( (u_ice(ji,jj)+u_ice(ji-1,jj))*e2t(ji,jj) & |
---|
586 | & +(u_ice(ji,jj+1)+u_ice(ji-1,jj+1))*e2t(ji,jj+1)) & |
---|
587 | & /(e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
588 | |
---|
589 | za = rhoco*SQRT((zu_ice2-u_oce2(ji,jj))**2 + & |
---|
590 | (v_ice(ji,jj)-v_oce2(ji,jj))**2)*(1.0-zfrld2(ji,jj)) |
---|
591 | zr = z0*v_ice(ji,jj) + zf2(ji,jj) + & |
---|
592 | za2ct(ji,jj) + za*(cangvg*v_oce2(ji,jj)+zsang*u_oce2(ji,jj)) |
---|
593 | zcca = z0+za*cangvg |
---|
594 | zccb = zcorl2(ji,jj)+za*zsang |
---|
595 | v_ice(ji,jj) = (zr-zccb*zu_ice2)/(zcca+epsd)*zmask |
---|
596 | |
---|
597 | END DO |
---|
598 | END DO |
---|
599 | |
---|
600 | CALL lbc_lnk( v_ice(:,:), 'V', -1. ) |
---|
601 | #if defined key_agrif && defined key_lim2 |
---|
602 | CALL agrif_rhg_lim2( jter, nevp, 'V' ) |
---|
603 | #endif |
---|
604 | #if defined key_bdy |
---|
605 | ! clem: change u_ice and v_ice at the boundary for each iteration |
---|
606 | CALL bdy_ice_lim_dyn( 'V' ) |
---|
607 | #endif |
---|
608 | |
---|
609 | !CDIR NOVERRCHK |
---|
610 | DO jj = k_j1+1, k_jpj-1 |
---|
611 | !CDIR NOVERRCHK |
---|
612 | DO ji = fs_2, fs_jpim1 |
---|
613 | zmask = (1.0-MAX(rzero,SIGN(rone,-zmass1(ji,jj))))*tmu(ji,jj) |
---|
614 | zsang = SIGN(1.0,fcor(ji,jj))*sangvg |
---|
615 | z0 = zmass1(ji,jj)/dtevp |
---|
616 | ! SB modif because ocean has no slip boundary condition |
---|
617 | ! GG Bug |
---|
618 | ! zv_ice1 = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji+1,jj) & |
---|
619 | ! & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji,jj)) & |
---|
620 | ! & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
621 | zv_ice1 = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji,jj) & |
---|
622 | & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji+1,jj)) & |
---|
623 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
624 | |
---|
625 | za = rhoco*SQRT((u_ice(ji,jj)-u_oce1(ji,jj))**2 + & |
---|
626 | (zv_ice1-v_oce1(ji,jj))**2)*(1.0-zfrld1(ji,jj)) |
---|
627 | zr = z0*u_ice(ji,jj) + zf1(ji,jj) + za1ct(ji,jj) + & |
---|
628 | za*(cangvg*u_oce1(ji,jj)-zsang*v_oce1(ji,jj)) |
---|
629 | zcca = z0+za*cangvg |
---|
630 | zccb = zcorl1(ji,jj)+za*zsang |
---|
631 | u_ice(ji,jj) = (zr+zccb*zv_ice1)/(zcca+epsd)*zmask |
---|
632 | END DO ! ji |
---|
633 | END DO ! jj |
---|
634 | |
---|
635 | CALL lbc_lnk( u_ice(:,:), 'U', -1. ) |
---|
636 | #if defined key_agrif && defined key_lim2 |
---|
637 | CALL agrif_rhg_lim2( jter, nevp, 'U' ) |
---|
638 | #endif |
---|
639 | #if defined key_bdy |
---|
640 | ! clem: change u_ice and v_ice at the boundary for each iteration |
---|
641 | CALL bdy_ice_lim_dyn( 'U' ) |
---|
642 | #endif |
---|
643 | |
---|
644 | ENDIF |
---|
645 | |
---|
646 | IF(ln_ctl) THEN |
---|
647 | !--- Convergence test. |
---|
648 | DO jj = k_j1+1 , k_jpj-1 |
---|
649 | zresr(:,jj) = MAX( ABS( u_ice(:,jj) - zu_ice(:,jj) ) , & |
---|
650 | ABS( v_ice(:,jj) - zv_ice(:,jj) ) ) |
---|
651 | END DO |
---|
652 | zresm = MAXVAL( zresr( 1:jpi , k_j1+1:k_jpj-1 ) ) |
---|
653 | IF( lk_mpp ) CALL mpp_max( zresm ) ! max over the global domain |
---|
654 | ENDIF |
---|
655 | |
---|
656 | ! ! ==================== ! |
---|
657 | END DO ! end loop over jter ! |
---|
658 | ! ! ==================== ! |
---|
659 | ! |
---|
660 | !------------------------------------------------------------------------------! |
---|
661 | ! 4) Prevent ice velocities when the ice is thin |
---|
662 | !------------------------------------------------------------------------------! |
---|
663 | !clem : add hminrhg in the namelist |
---|
664 | ! |
---|
665 | ! If the ice thickness is below hminrhg (5cm) then ice velocity should equal the |
---|
666 | ! ocean velocity, |
---|
667 | ! This prevents high velocity when ice is thin |
---|
668 | !CDIR NOVERRCHK |
---|
669 | DO jj = k_j1+1, k_jpj-1 |
---|
670 | !CDIR NOVERRCHK |
---|
671 | DO ji = fs_2, fs_jpim1 |
---|
672 | zindb = MAX( 0.0, SIGN( 1.0, at_i(ji,jj) - epsi10 ) ) |
---|
673 | !zdummy = zindb * vt_i(ji,jj) / MAX(at_i(ji,jj) , epsi10 ) |
---|
674 | zdummy = vt_i(ji,jj) |
---|
675 | IF ( zdummy .LE. hminrhg ) THEN |
---|
676 | u_ice(ji,jj) = u_oce(ji,jj) |
---|
677 | v_ice(ji,jj) = v_oce(ji,jj) |
---|
678 | ENDIF ! zdummy |
---|
679 | END DO |
---|
680 | END DO |
---|
681 | |
---|
682 | CALL lbc_lnk( u_ice(:,:), 'U', -1. ) |
---|
683 | CALL lbc_lnk( v_ice(:,:), 'V', -1. ) |
---|
684 | #if defined key_agrif && defined key_lim2 |
---|
685 | CALL agrif_rhg_lim2( nevp , nevp, 'U' ) |
---|
686 | CALL agrif_rhg_lim2( nevp , nevp, 'V' ) |
---|
687 | #endif |
---|
688 | #if defined key_bdy |
---|
689 | ! clem: change u_ice and v_ice at the boundary |
---|
690 | CALL bdy_ice_lim_dyn( 'U' ) |
---|
691 | CALL bdy_ice_lim_dyn( 'V' ) |
---|
692 | #endif |
---|
693 | |
---|
694 | DO jj = k_j1+1, k_jpj-1 |
---|
695 | DO ji = fs_2, fs_jpim1 |
---|
696 | zindb = MAX( 0.0, SIGN( 1.0, at_i(ji,jj) - epsi10 ) ) |
---|
697 | !zdummy = zindb * vt_i(ji,jj) / MAX(at_i(ji,jj) , epsi10 ) |
---|
698 | zdummy = vt_i(ji,jj) |
---|
699 | IF ( zdummy .LE. hminrhg ) THEN |
---|
700 | v_ice1(ji,jj) = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji+1,jj) & |
---|
701 | & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji,jj)) & |
---|
702 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
703 | |
---|
704 | u_ice2(ji,jj) = 0.5*( (u_ice(ji,jj)+u_ice(ji-1,jj))*e2t(ji,jj+1) & |
---|
705 | & +(u_ice(ji,jj+1)+u_ice(ji-1,jj+1))*e2t(ji,jj)) & |
---|
706 | & /(e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
707 | ENDIF ! zdummy |
---|
708 | END DO |
---|
709 | END DO |
---|
710 | |
---|
711 | CALL lbc_lnk( u_ice2(:,:), 'V', -1. ) |
---|
712 | CALL lbc_lnk( v_ice1(:,:), 'U', -1. ) |
---|
713 | |
---|
714 | ! Recompute delta, shear and div, inputs for mechanical redistribution |
---|
715 | !CDIR NOVERRCHK |
---|
716 | DO jj = k_j1+1, k_jpj-1 |
---|
717 | !CDIR NOVERRCHK |
---|
718 | DO ji = fs_2, jpim1 !RB bug no vect opt due to tmi |
---|
719 | !- zdd(:,:), zdt(:,:): divergence and tension at centre |
---|
720 | !- zds(:,:): shear on northeast corner of grid cells |
---|
721 | zindb = MAX( 0.0, SIGN( 1.0, at_i(ji,jj) - epsi10 ) ) |
---|
722 | !zdummy = zindb * vt_i(ji,jj) / MAX(at_i(ji,jj) , epsi10 ) |
---|
723 | zdummy = vt_i(ji,jj) |
---|
724 | IF ( zdummy .LE. hminrhg ) THEN |
---|
725 | |
---|
726 | zdd(ji,jj) = ( e2u(ji,jj)*u_ice(ji,jj) & |
---|
727 | & -e2u(ji-1,jj)*u_ice(ji-1,jj) & |
---|
728 | & +e1v(ji,jj)*v_ice(ji,jj) & |
---|
729 | & -e1v(ji,jj-1)*v_ice(ji,jj-1) & |
---|
730 | & ) & |
---|
731 | & / area(ji,jj) |
---|
732 | |
---|
733 | zdt(ji,jj) = ( ( u_ice(ji,jj)/e2u(ji,jj) & |
---|
734 | & -u_ice(ji-1,jj)/e2u(ji-1,jj) & |
---|
735 | & )*e2t(ji,jj)*e2t(ji,jj) & |
---|
736 | & -( v_ice(ji,jj)/e1v(ji,jj) & |
---|
737 | & -v_ice(ji,jj-1)/e1v(ji,jj-1) & |
---|
738 | & )*e1t(ji,jj)*e1t(ji,jj) & |
---|
739 | & ) & |
---|
740 | & / area(ji,jj) |
---|
741 | ! |
---|
742 | ! SB modif because ocean has no slip boundary condition |
---|
743 | zds(ji,jj) = ( ( u_ice(ji,jj+1) / e1u(ji,jj+1) & |
---|
744 | & - u_ice(ji,jj) / e1u(ji,jj) ) & |
---|
745 | & * e1f(ji,jj) * e1f(ji,jj) & |
---|
746 | & + ( v_ice(ji+1,jj) / e2v(ji+1,jj) & |
---|
747 | & - v_ice(ji,jj) / e2v(ji,jj) ) & |
---|
748 | & * e2f(ji,jj) * e2f(ji,jj) ) & |
---|
749 | & / ( e1f(ji,jj) * e2f(ji,jj) ) * ( 2.0 - tmf(ji,jj) ) & |
---|
750 | & * tmi(ji,jj) * tmi(ji,jj+1) & |
---|
751 | & * tmi(ji+1,jj) * tmi(ji+1,jj+1) |
---|
752 | |
---|
753 | zdst(ji,jj) = ( e2u( ji , jj ) * v_ice1(ji ,jj ) & |
---|
754 | & - e2u( ji-1, jj ) * v_ice1(ji-1,jj ) & |
---|
755 | & + e1v( ji , jj ) * u_ice2(ji ,jj ) & |
---|
756 | & - e1v( ji , jj-1 ) * u_ice2(ji ,jj-1) ) / area(ji,jj) |
---|
757 | |
---|
758 | ! deltat(ji,jj) = SQRT( zdd(ji,jj)*zdd(ji,jj) & |
---|
759 | ! & + ( zdt(ji,jj)*zdt(ji,jj) + zdst(ji,jj)*zdst(ji,jj) ) * usecc2 & |
---|
760 | ! & ) + creepl |
---|
761 | ! MV rewriting |
---|
762 | delta = SQRT( zdd(ji,jj)*zdd(ji,jj) + ( zdt(ji,jj)*zdt(ji,jj) + zdst(ji,jj)*zdst(ji,jj) ) * usecc2 ) |
---|
763 | deltat(ji,jj) = delta + creepl |
---|
764 | ! END MV |
---|
765 | |
---|
766 | ENDIF ! zdummy |
---|
767 | |
---|
768 | END DO !jj |
---|
769 | END DO !ji |
---|
770 | ! |
---|
771 | !------------------------------------------------------------------------------! |
---|
772 | ! 5) Store stress tensor and its invariants |
---|
773 | !------------------------------------------------------------------------------! |
---|
774 | ! |
---|
775 | ! * Invariants of the stress tensor are required for limitd_me |
---|
776 | ! (accelerates convergence and improves stability) |
---|
777 | DO jj = k_j1+1, k_jpj-1 |
---|
778 | DO ji = fs_2, fs_jpim1 |
---|
779 | divu_i (ji,jj) = zdd (ji,jj) |
---|
780 | delta_i(ji,jj) = deltat(ji,jj) |
---|
781 | ! begin TECLIM change |
---|
782 | zdst(ji,jj)= ( e2u( ji , jj ) * v_ice1(ji,jj) & |
---|
783 | & - e2u( ji-1, jj ) * v_ice1(ji-1,jj) & |
---|
784 | & + e1v( ji , jj ) * u_ice2(ji,jj) & |
---|
785 | & - e1v( ji , jj-1 ) * u_ice2(ji,jj-1) ) / area(ji,jj) |
---|
786 | shear_i(ji,jj) = SQRT( zdt(ji,jj) * zdt(ji,jj) + zdst(ji,jj) * zdst(ji,jj) ) |
---|
787 | ! end TECLIM change |
---|
788 | END DO |
---|
789 | END DO |
---|
790 | |
---|
791 | ! Lateral boundary condition |
---|
792 | CALL lbc_lnk( divu_i (:,:), 'T', 1. ) |
---|
793 | CALL lbc_lnk( delta_i(:,:), 'T', 1. ) |
---|
794 | ! CALL lbc_lnk( shear_i(:,:), 'F', 1. ) |
---|
795 | CALL lbc_lnk( shear_i(:,:), 'T', 1. ) |
---|
796 | |
---|
797 | ! * Store the stress tensor for the next time step |
---|
798 | stress1_i (:,:) = zs1 (:,:) |
---|
799 | stress2_i (:,:) = zs2 (:,:) |
---|
800 | stress12_i(:,:) = zs12(:,:) |
---|
801 | |
---|
802 | ! |
---|
803 | !------------------------------------------------------------------------------! |
---|
804 | ! 6) Control prints of residual and charge ellipse |
---|
805 | !------------------------------------------------------------------------------! |
---|
806 | ! |
---|
807 | ! print the residual for convergence |
---|
808 | IF(ln_ctl) THEN |
---|
809 | WRITE(charout,FMT="('lim_rhg : res =',D23.16, ' iter =',I4)") zresm, jter |
---|
810 | CALL prt_ctl_info(charout) |
---|
811 | CALL prt_ctl(tab2d_1=u_ice, clinfo1=' lim_rhg : u_ice :', tab2d_2=v_ice, clinfo2=' v_ice :') |
---|
812 | ENDIF |
---|
813 | |
---|
814 | ! print charge ellipse |
---|
815 | ! This can be desactivated once the user is sure that the stress state |
---|
816 | ! lie on the charge ellipse. See Bouillon et al. 08 for more details |
---|
817 | IF(ln_ctl) THEN |
---|
818 | CALL prt_ctl_info('lim_rhg : numit :',ivar1=numit) |
---|
819 | CALL prt_ctl_info('lim_rhg : nwrite :',ivar1=nwrite) |
---|
820 | CALL prt_ctl_info('lim_rhg : MOD :',ivar1=MOD(numit,nwrite)) |
---|
821 | IF( MOD(numit,nwrite) .EQ. 0 ) THEN |
---|
822 | WRITE(charout,FMT="('lim_rhg :', I4, I6, I1, I1, A10)") 1000, numit, 0, 0, ' ch. ell. ' |
---|
823 | CALL prt_ctl_info(charout) |
---|
824 | DO jj = k_j1+1, k_jpj-1 |
---|
825 | DO ji = 2, jpim1 |
---|
826 | IF (zpresh(ji,jj) .GT. 1.0) THEN |
---|
827 | sigma1 = ( zs1(ji,jj) + (zs2(ji,jj)**2 + 4*zs12(ji,jj)**2 )**0.5 ) / ( 2*zpresh(ji,jj) ) |
---|
828 | sigma2 = ( zs1(ji,jj) - (zs2(ji,jj)**2 + 4*zs12(ji,jj)**2 )**0.5 ) / ( 2*zpresh(ji,jj) ) |
---|
829 | WRITE(charout,FMT="('lim_rhg :', I4, I4, D23.16, D23.16, D23.16, D23.16, A10)") |
---|
830 | CALL prt_ctl_info(charout) |
---|
831 | ENDIF |
---|
832 | END DO |
---|
833 | END DO |
---|
834 | WRITE(charout,FMT="('lim_rhg :', I4, I6, I1, I1, A10)") 2000, numit, 0, 0, ' ch. ell. ' |
---|
835 | CALL prt_ctl_info(charout) |
---|
836 | ENDIF |
---|
837 | ENDIF |
---|
838 | ! |
---|
839 | CALL wrk_dealloc( jpi,jpj, zpresh, zfrld1, zmass1, zcorl1, za1ct , zpreshc, zfrld2, zmass2, zcorl2, za2ct ) |
---|
840 | CALL wrk_dealloc( jpi,jpj, zc1 , u_oce1, u_oce2, u_ice2, zusw , v_oce1 , v_oce2, v_ice1 ) |
---|
841 | CALL wrk_dealloc( jpi,jpj, zf1 , deltat, zu_ice, zf2 , deltac, zv_ice , zdd , zdt , zds , zdst ) |
---|
842 | CALL wrk_dealloc( jpi,jpj, zdd , zdt , zds , zs1 , zs2 , zs12 , zresr , zpice ) |
---|
843 | |
---|
844 | END SUBROUTINE lim_rhg |
---|
845 | |
---|
846 | #else |
---|
847 | !!---------------------------------------------------------------------- |
---|
848 | !! Default option Dummy module NO LIM sea-ice model |
---|
849 | !!---------------------------------------------------------------------- |
---|
850 | CONTAINS |
---|
851 | SUBROUTINE lim_rhg( k1 , k2 ) ! Dummy routine |
---|
852 | WRITE(*,*) 'lim_rhg: You should not have seen this print! error?', k1, k2 |
---|
853 | END SUBROUTINE lim_rhg |
---|
854 | #endif |
---|
855 | |
---|
856 | !!============================================================================== |
---|
857 | END MODULE limrhg |
---|