[3] | 1 | MODULE limrhg |
---|
| 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE limrhg *** |
---|
| 4 | !! Ice rheology : performs sea ice rheology |
---|
| 5 | !!====================================================================== |
---|
[77] | 6 | #if defined key_ice_lim |
---|
[3] | 7 | !!---------------------------------------------------------------------- |
---|
[77] | 8 | !! 'key_ice_lim' LIM sea-ice model |
---|
| 9 | !!---------------------------------------------------------------------- |
---|
[3] | 10 | !! lim_rhg : computes ice velocities |
---|
| 11 | !!---------------------------------------------------------------------- |
---|
[719] | 12 | !! * Modules used |
---|
| 13 | USE phycst |
---|
| 14 | USE par_oce |
---|
| 15 | USE ice_oce ! ice variables |
---|
| 16 | USE dom_ice |
---|
| 17 | USE ice |
---|
| 18 | USE lbclnk |
---|
| 19 | USE lib_mpp |
---|
| 20 | USE in_out_manager ! I/O manager |
---|
| 21 | USE prtctl ! Print control |
---|
[3] | 22 | |
---|
| 23 | IMPLICIT NONE |
---|
| 24 | PRIVATE |
---|
| 25 | |
---|
[719] | 26 | !! * Routine accessibility |
---|
| 27 | PUBLIC lim_rhg ! routine called by lim_dyn |
---|
[3] | 28 | |
---|
[719] | 29 | !! * Module variables |
---|
| 30 | REAL(wp) :: & ! constant values |
---|
| 31 | rzero = 0.e0 , & |
---|
| 32 | rone = 1.e0 |
---|
[3] | 33 | !!---------------------------------------------------------------------- |
---|
[719] | 34 | !! LIM 2.0, UCL-LOCEAN-IPSL (2005) |
---|
| 35 | !! $Header$ |
---|
| 36 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
---|
[3] | 37 | !!---------------------------------------------------------------------- |
---|
| 38 | |
---|
| 39 | CONTAINS |
---|
| 40 | |
---|
[77] | 41 | SUBROUTINE lim_rhg( k_j1, k_jpj ) |
---|
[3] | 42 | !!------------------------------------------------------------------- |
---|
[12] | 43 | !! *** SUBROUTINR lim_rhg *** |
---|
[77] | 44 | !! |
---|
[12] | 45 | !! ** purpose : determines the velocity field of sea ice by using |
---|
| 46 | !! atmospheric (wind stress) and oceanic (water stress and surface |
---|
| 47 | !! tilt) forcings. Ice-ice interaction is described by a non-linear |
---|
[391] | 48 | !! viscous-plastic law including shear strength and a bulk rheology. |
---|
[3] | 49 | !! |
---|
[719] | 50 | !! ** Action : - compute u_ice, v_ice the sea-ice velocity |
---|
| 51 | !! |
---|
| 52 | !! History : |
---|
| 53 | !! 0.0 ! 93-12 (M.A. Morales Maqueda.) Original code |
---|
| 54 | !! 1.0 ! 94-12 (H. Goosse) |
---|
| 55 | !! 2.0 ! 03-12 (C. Ethe, G. Madec) F90, mpp |
---|
[717] | 56 | !!------------------------------------------------------------------- |
---|
[719] | 57 | ! * Arguments |
---|
| 58 | INTEGER, INTENT(in) :: k_j1 , & ! southern j-index for ice computation |
---|
| 59 | & k_jpj ! northern j-index for ice computation |
---|
| 60 | |
---|
| 61 | ! * Local variables |
---|
[12] | 62 | INTEGER :: ji, jj ! dummy loop indices |
---|
[3] | 63 | |
---|
[719] | 64 | INTEGER :: & |
---|
| 65 | iim1, ijm1, iip1 , ijp1 , & ! temporary integers |
---|
| 66 | iter, jter ! " " |
---|
| 67 | |
---|
| 68 | CHARACTER (len=50) :: charout |
---|
| 69 | |
---|
| 70 | REAL(wp) :: & |
---|
| 71 | ze11 , ze12 , ze22 , ze21 , & ! temporary scalars |
---|
| 72 | zt11 , zt12 , zt21 , zt22 , & ! " " |
---|
| 73 | zvis11, zvis21, zvis12, zvis22, & ! " " |
---|
| 74 | zgphsx, ztagnx, zusw , & ! " " |
---|
| 75 | zgphsy, ztagny ! " " |
---|
| 76 | REAL(wp) :: & |
---|
| 77 | zresm, zunw, zvnw, zur, zvr, zmod, za, zac, & |
---|
| 78 | zmpzas, zstms, zindu, zindu1, zusdtp, zmassdt, zcorlal, & |
---|
| 79 | ztrace2, zdeter, zdelta, zsang, zmask, zdgp, zdgi, zdiag |
---|
| 80 | REAL(wp),DIMENSION(jpi,jpj) :: & |
---|
| 81 | zpresh, zfrld, zmass, zcorl, & |
---|
| 82 | zu0, zv0, zviszeta, zviseta, & |
---|
| 83 | zc1u, zc1v, zc2u, zc2v, za1ct, za2ct, za1, za2, zb1, zb2, & |
---|
| 84 | zc1, zc2, zd1, zd2, zden, zu_ice, zv_ice, zresr |
---|
| 85 | REAL(wp),DIMENSION(jpi,jpj,2,2) :: & |
---|
| 86 | zs11, zs12, zs22, zs21 |
---|
[717] | 87 | !!------------------------------------------------------------------- |
---|
[3] | 88 | |
---|
[77] | 89 | ! Store initial velocities |
---|
[719] | 90 | ! ------------------------ |
---|
| 91 | zu0(:,:) = u_ice(:,:) |
---|
| 92 | zv0(:,:) = v_ice(:,:) |
---|
[3] | 93 | |
---|
[717] | 94 | ! Ice mass, ice strength, and wind stress at the center | |
---|
| 95 | ! of the grid squares. | |
---|
[77] | 96 | !------------------------------------------------------------------- |
---|
[3] | 97 | |
---|
[77] | 98 | DO jj = k_j1 , k_jpj-1 |
---|
[3] | 99 | DO ji = 1 , jpi |
---|
[719] | 100 | za1(ji,jj) = tms(ji,jj) * ( rhosn * hsnm(ji,jj) + rhoic * hicm(ji,jj) ) |
---|
[3] | 101 | zpresh(ji,jj) = tms(ji,jj) * pstarh * hicm(ji,jj) * EXP( -c_rhg * frld(ji,jj) ) |
---|
[719] | 102 | #if defined key_lim_cp1 && defined key_coupled |
---|
| 103 | zb1(ji,jj) = tms(ji,jj) * gtaux(ji,jj) * ( 1.0 - frld(ji,jj) ) |
---|
| 104 | zb2(ji,jj) = tms(ji,jj) * gtauy(ji,jj) * ( 1.0 - frld(ji,jj) ) |
---|
| 105 | #else |
---|
| 106 | zb1(ji,jj) = tms(ji,jj) * ( 1.0 - frld(ji,jj) ) |
---|
| 107 | zb2(ji,jj) = tms(ji,jj) * ( 1.0 - frld(ji,jj) ) |
---|
| 108 | #endif |
---|
[3] | 109 | END DO |
---|
| 110 | END DO |
---|
| 111 | |
---|
[717] | 112 | |
---|
[3] | 113 | !--------------------------------------------------------------------------- |
---|
[717] | 114 | ! Wind stress, coriolis and mass terms at the corners of the grid squares | |
---|
| 115 | ! Gradient of ice strenght. | |
---|
| 116 | !--------------------------------------------------------------------------- |
---|
[3] | 117 | |
---|
[77] | 118 | DO jj = k_j1+1, k_jpj-1 |
---|
[719] | 119 | DO ji = 2, jpi |
---|
| 120 | zstms = tms(ji,jj ) * wght(ji,jj,2,2) + tms(ji-1,jj ) * wght(ji,jj,1,2) & |
---|
| 121 | & + tms(ji,jj-1) * wght(ji,jj,2,1) + tms(ji-1,jj-1) * wght(ji,jj,1,1) |
---|
[3] | 122 | zusw = 1.0 / MAX( zstms, epsd ) |
---|
| 123 | |
---|
[719] | 124 | zt11 = tms(ji ,jj ) * frld(ji ,jj ) |
---|
| 125 | zt12 = tms(ji-1,jj ) * frld(ji-1,jj ) |
---|
| 126 | zt21 = tms(ji ,jj-1) * frld(ji ,jj-1) |
---|
| 127 | zt22 = tms(ji-1,jj-1) * frld(ji-1,jj-1) |
---|
[3] | 128 | |
---|
[717] | 129 | ! Leads area. |
---|
| 130 | zfrld(ji,jj) = ( zt11 * wght(ji,jj,2,2) + zt12 * wght(ji,jj,1,2) & |
---|
| 131 | & + zt21 * wght(ji,jj,2,1) + zt22 * wght(ji,jj,1,1) ) * zusw |
---|
[3] | 132 | |
---|
[719] | 133 | ! Mass and coriolis coeff. |
---|
| 134 | zmass(ji,jj) = ( za1(ji,jj ) * wght(ji,jj,2,2) + za1(ji-1,jj ) * wght(ji,jj,1,2) & |
---|
| 135 | & + za1(ji,jj-1) * wght(ji,jj,2,1) + za1(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw |
---|
[717] | 136 | zcorl(ji,jj) = zmass(ji,jj) * fcor(ji,jj) |
---|
| 137 | |
---|
[700] | 138 | ! Wind stress. |
---|
[719] | 139 | #if defined key_lim_cp1 && defined key_coupled |
---|
| 140 | ztagnx = ( zb1(ji,jj ) * wght(ji,jj,2,2) + zb1(ji-1,jj ) * wght(ji,jj,1,2) & |
---|
| 141 | & + zb1(ji,jj-1) * wght(ji,jj,2,1) + zb1(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw |
---|
| 142 | ztagny = ( zb2(ji,jj ) * wght(ji,jj,2,2) + zb2(ji-1,jj ) * wght(ji,jj,1,2) & |
---|
| 143 | & + zb2(ji,jj-1) * wght(ji,jj,2,1) + zb2(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw |
---|
| 144 | #else |
---|
| 145 | ztagnx = ( zb1(ji,jj ) * wght(ji,jj,2,2) + zb1(ji-1,jj ) * wght(ji,jj,1,2) & |
---|
| 146 | & + zb1(ji,jj-1) * wght(ji,jj,2,1) + zb1(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw * gtaux(ji,jj) |
---|
| 147 | ztagny = ( zb2(ji,jj ) * wght(ji,jj,2,2) + zb2(ji-1,jj ) * wght(ji,jj,1,2) & |
---|
| 148 | & + zb2(ji,jj-1) * wght(ji,jj,2,1) + zb2(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw * gtauy(ji,jj) |
---|
| 149 | #endif |
---|
[700] | 150 | |
---|
[3] | 151 | ! Gradient of ice strength |
---|
| 152 | zgphsx = ( alambd(ji,jj,2,2,2,1) - alambd(ji,jj,2,1,2,1) ) * zpresh(ji ,jj-1) & |
---|
| 153 | & + ( alambd(ji,jj,2,2,2,2) - alambd(ji,jj,2,1,2,2) ) * zpresh(ji ,jj ) & |
---|
| 154 | & - ( alambd(ji,jj,2,2,1,1) + alambd(ji,jj,2,1,1,1) ) * zpresh(ji-1,jj-1) & |
---|
| 155 | & - ( alambd(ji,jj,2,2,1,2) + alambd(ji,jj,2,1,1,2) ) * zpresh(ji-1,jj ) |
---|
| 156 | |
---|
| 157 | zgphsy = - ( alambd(ji,jj,1,1,2,1) + alambd(ji,jj,1,2,2,1) ) * zpresh(ji ,jj-1) & |
---|
| 158 | & - ( alambd(ji,jj,1,1,1,1) + alambd(ji,jj,1,2,1,1) ) * zpresh(ji-1,jj-1) & |
---|
| 159 | & + ( alambd(ji,jj,1,1,2,2) - alambd(ji,jj,1,2,2,2) ) * zpresh(ji ,jj ) & |
---|
| 160 | & + ( alambd(ji,jj,1,1,1,2) - alambd(ji,jj,1,2,1,2) ) * zpresh(ji-1,jj ) |
---|
| 161 | |
---|
| 162 | ! Computation of the velocity field taking into account the ice-ice interaction. |
---|
[719] | 163 | ! Terms that are independent of the velocity field. |
---|
| 164 | za1ct(ji,jj) = ztagnx - zcorl(ji,jj) * v_oce(ji,jj) - zgphsx |
---|
| 165 | za2ct(ji,jj) = ztagny + zcorl(ji,jj) * u_oce(ji,jj) - zgphsy |
---|
[3] | 166 | END DO |
---|
| 167 | END DO |
---|
| 168 | |
---|
[719] | 169 | !! inutile!! |
---|
| 170 | !!?? CALL lbc_lnk( za1ct, 'I', -1. ) |
---|
| 171 | !!?? CALL lbc_lnk( za2ct, 'I', -1. ) |
---|
[3] | 172 | |
---|
[719] | 173 | |
---|
[3] | 174 | ! SOLUTION OF THE MOMENTUM EQUATION. |
---|
| 175 | !------------------------------------------ |
---|
| 176 | ! ! ==================== ! |
---|
| 177 | DO iter = 1 , 2 * nbiter ! loop over iter ! |
---|
| 178 | ! ! ==================== ! |
---|
| 179 | zindu = MOD( iter , 2 ) |
---|
| 180 | zusdtp = ( zindu * 2.0 + ( 1.0 - zindu ) * 1.0 ) * REAL( nbiter ) / rdt_ice |
---|
| 181 | |
---|
| 182 | ! Computation of free drift field for free slip boundary conditions. |
---|
| 183 | |
---|
[719] | 184 | DO jj = k_j1, k_jpj-1 |
---|
| 185 | DO ji = 1, jpim1 |
---|
| 186 | !- Rate of strain tensor. |
---|
| 187 | zt11 = akappa(ji,jj,1,1) * ( u_ice(ji+1,jj) + u_ice(ji+1,jj+1) - u_ice(ji,jj ) - u_ice(ji ,jj+1) ) & |
---|
| 188 | & + akappa(ji,jj,1,2) * ( v_ice(ji+1,jj) + v_ice(ji+1,jj+1) + v_ice(ji,jj ) + v_ice(ji ,jj+1) ) |
---|
| 189 | zt12 = - akappa(ji,jj,2,2) * ( u_ice(ji ,jj) + u_ice(ji+1,jj ) - u_ice(ji,jj+1) - u_ice(ji+1,jj+1) ) & |
---|
| 190 | & - akappa(ji,jj,2,1) * ( v_ice(ji ,jj) + v_ice(ji+1,jj ) + v_ice(ji,jj+1) + v_ice(ji+1,jj+1) ) |
---|
| 191 | zt22 = - akappa(ji,jj,2,2) * ( v_ice(ji ,jj) + v_ice(ji+1,jj ) - v_ice(ji,jj+1) - v_ice(ji+1,jj+1) ) & |
---|
| 192 | & + akappa(ji,jj,2,1) * ( u_ice(ji ,jj) + u_ice(ji+1,jj ) + u_ice(ji,jj+1) + u_ice(ji+1,jj+1) ) |
---|
| 193 | zt21 = akappa(ji,jj,1,1) * ( v_ice(ji+1,jj) + v_ice(ji+1,jj+1) - v_ice(ji,jj ) - v_ice(ji ,jj+1) ) & |
---|
| 194 | & - akappa(ji,jj,1,2) * ( u_ice(ji+1,jj) + u_ice(ji+1,jj+1) + u_ice(ji,jj ) + u_ice(ji ,jj+1) ) |
---|
[3] | 195 | |
---|
[719] | 196 | !- Rate of strain tensor. |
---|
| 197 | zdgp = zt11 + zt22 |
---|
| 198 | zdgi = zt12 + zt21 |
---|
| 199 | ztrace2 = zdgp * zdgp |
---|
| 200 | zdeter = zt11 * zt22 - 0.25 * zdgi * zdgi |
---|
[3] | 201 | |
---|
[719] | 202 | ! Creep limit depends on the size of the grid. |
---|
| 203 | zdelta = MAX( SQRT( ztrace2 + ( ztrace2 - 4.0 * zdeter ) * usecc2), creepl) |
---|
[3] | 204 | |
---|
[719] | 205 | !- Computation of viscosities. |
---|
| 206 | zviszeta(ji,jj) = MAX( zpresh(ji,jj) / zdelta, etamn ) |
---|
| 207 | zviseta (ji,jj) = zviszeta(ji,jj) * usecc2 |
---|
| 208 | END DO |
---|
| 209 | END DO |
---|
| 210 | !!?? CALL lbc_lnk( zviszeta, 'I', -1. ) ! or T point??? semble reellement inutile |
---|
| 211 | !!?? CALL lbc_lnk( zviseta , 'I', -1. ) |
---|
[3] | 212 | |
---|
| 213 | |
---|
[719] | 214 | !- Determination of zc1u, zc2u, zc1v and zc2v. |
---|
| 215 | DO jj = k_j1+1, k_jpj-1 |
---|
| 216 | DO ji = 2, jpim1 |
---|
| 217 | ze11 = akappa(ji-1,jj-1,1,1) |
---|
| 218 | ze12 = +akappa(ji-1,jj-1,2,2) |
---|
| 219 | ze22 = akappa(ji-1,jj-1,2,1) |
---|
| 220 | ze21 = -akappa(ji-1,jj-1,1,2) |
---|
| 221 | zvis11 = 2.0 * zviseta (ji-1,jj-1) + dm |
---|
| 222 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
---|
| 223 | zvis12 = zviseta (ji-1,jj-1) + dm |
---|
| 224 | zvis21 = zviseta (ji-1,jj-1) |
---|
[3] | 225 | |
---|
[719] | 226 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 227 | zs11(ji,jj,1,1) = zvis11 * ze11 + zdiag |
---|
| 228 | zs12(ji,jj,1,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 229 | zs22(ji,jj,1,1) = zvis11 * ze22 + zdiag |
---|
| 230 | zs21(ji,jj,1,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 231 | |
---|
[719] | 232 | ze11 = -akappa(ji,jj-1,1,1) |
---|
| 233 | ze12 = +akappa(ji,jj-1,2,2) |
---|
| 234 | ze22 = akappa(ji,jj-1,2,1) |
---|
| 235 | ze21 = -akappa(ji,jj-1,1,2) |
---|
| 236 | zvis11 = 2.0 * zviseta (ji,jj-1) + dm |
---|
| 237 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
---|
| 238 | zvis12 = zviseta (ji,jj-1) + dm |
---|
| 239 | zvis21 = zviseta (ji,jj-1) |
---|
[3] | 240 | |
---|
[719] | 241 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 242 | zs11(ji,jj,2,1) = zvis11 * ze11 + zdiag |
---|
| 243 | zs12(ji,jj,2,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 244 | zs22(ji,jj,2,1) = zvis11 * ze22 + zdiag |
---|
| 245 | zs21(ji,jj,2,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 246 | |
---|
[719] | 247 | ze11 = akappa(ji-1,jj,1,1) |
---|
| 248 | ze12 = -akappa(ji-1,jj,2,2) |
---|
| 249 | ze22 = akappa(ji-1,jj,2,1) |
---|
| 250 | ze21 = -akappa(ji-1,jj,1,2) |
---|
| 251 | zvis11 = 2.0 * zviseta (ji-1,jj) + dm |
---|
| 252 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
---|
| 253 | zvis12 = zviseta (ji-1,jj) + dm |
---|
| 254 | zvis21 = zviseta (ji-1,jj) |
---|
[3] | 255 | |
---|
[719] | 256 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 257 | zs11(ji,jj,1,2) = zvis11 * ze11 + zdiag |
---|
| 258 | zs12(ji,jj,1,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 259 | zs22(ji,jj,1,2) = zvis11 * ze22 + zdiag |
---|
| 260 | zs21(ji,jj,1,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
| 261 | |
---|
| 262 | ze11 = -akappa(ji,jj,1,1) |
---|
| 263 | ze12 = -akappa(ji,jj,2,2) |
---|
| 264 | ze22 = akappa(ji,jj,2,1) |
---|
| 265 | ze21 = -akappa(ji,jj,1,2) |
---|
| 266 | zvis11 = 2.0 * zviseta (ji,jj) + dm |
---|
| 267 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
---|
| 268 | zvis12 = zviseta (ji,jj) + dm |
---|
| 269 | zvis21 = zviseta (ji,jj) |
---|
| 270 | |
---|
| 271 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 272 | zs11(ji,jj,2,2) = zvis11 * ze11 + zdiag |
---|
| 273 | zs12(ji,jj,2,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 274 | zs22(ji,jj,2,2) = zvis11 * ze22 + zdiag |
---|
| 275 | zs21(ji,jj,2,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
| 276 | END DO |
---|
| 277 | END DO |
---|
| 278 | |
---|
| 279 | DO jj = k_j1+1, k_jpj-1 |
---|
| 280 | DO ji = 2, jpim1 |
---|
| 281 | zc1u(ji,jj) = & |
---|
| 282 | + alambd(ji,jj,2,2,2,1) * zs11(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zs11(ji,jj,2,2) & |
---|
| 283 | - alambd(ji,jj,2,2,1,1) * zs11(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zs11(ji,jj,1,2) & |
---|
| 284 | - alambd(ji,jj,1,1,2,1) * zs12(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zs12(ji,jj,1,1) & |
---|
| 285 | + alambd(ji,jj,1,1,2,2) * zs12(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zs12(ji,jj,1,2) & |
---|
| 286 | + alambd(ji,jj,1,2,1,1) * zs21(ji,jj,1,1) + alambd(ji,jj,1,2,2,1) * zs21(ji,jj,2,1) & |
---|
| 287 | + alambd(ji,jj,1,2,1,2) * zs21(ji,jj,1,2) + alambd(ji,jj,1,2,2,2) * zs21(ji,jj,2,2) & |
---|
| 288 | - alambd(ji,jj,2,1,1,1) * zs22(ji,jj,1,1) - alambd(ji,jj,2,1,2,1) * zs22(ji,jj,2,1) & |
---|
| 289 | - alambd(ji,jj,2,1,1,2) * zs22(ji,jj,1,2) - alambd(ji,jj,2,1,2,2) * zs22(ji,jj,2,2) |
---|
| 290 | |
---|
| 291 | zc2u(ji,jj) = & |
---|
| 292 | + alambd(ji,jj,2,2,2,1) * zs21(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zs21(ji,jj,2,2) & |
---|
| 293 | - alambd(ji,jj,2,2,1,1) * zs21(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zs21(ji,jj,1,2) & |
---|
| 294 | - alambd(ji,jj,1,1,2,1) * zs22(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zs22(ji,jj,1,1) & |
---|
| 295 | + alambd(ji,jj,1,1,2,2) * zs22(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zs22(ji,jj,1,2) & |
---|
| 296 | - alambd(ji,jj,1,2,1,1) * zs11(ji,jj,1,1) - alambd(ji,jj,1,2,2,1) * zs11(ji,jj,2,1) & |
---|
| 297 | - alambd(ji,jj,1,2,1,2) * zs11(ji,jj,1,2) - alambd(ji,jj,1,2,2,2) * zs11(ji,jj,2,2) & |
---|
| 298 | + alambd(ji,jj,2,1,1,1) * zs12(ji,jj,1,1) + alambd(ji,jj,2,1,2,1) * zs12(ji,jj,2,1) & |
---|
| 299 | + alambd(ji,jj,2,1,1,2) * zs12(ji,jj,1,2) + alambd(ji,jj,2,1,2,2) * zs12(ji,jj,2,2) |
---|
| 300 | END DO |
---|
| 301 | END DO |
---|
| 302 | |
---|
| 303 | DO jj = k_j1+1, k_jpj-1 |
---|
| 304 | DO ji = 2, jpim1 |
---|
| 305 | ! zc1v , zc2v. |
---|
| 306 | ze11 = akappa(ji-1,jj-1,1,2) |
---|
| 307 | ze12 = -akappa(ji-1,jj-1,2,1) |
---|
| 308 | ze22 = +akappa(ji-1,jj-1,2,2) |
---|
| 309 | ze21 = akappa(ji-1,jj-1,1,1) |
---|
| 310 | zvis11 = 2.0 * zviseta (ji-1,jj-1) + dm |
---|
| 311 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
---|
| 312 | zvis12 = zviseta (ji-1,jj-1) + dm |
---|
| 313 | zvis21 = zviseta (ji-1,jj-1) |
---|
| 314 | |
---|
| 315 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 316 | zs11(ji,jj,1,1) = zvis11 * ze11 + zdiag |
---|
| 317 | zs12(ji,jj,1,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 318 | zs22(ji,jj,1,1) = zvis11 * ze22 + zdiag |
---|
| 319 | zs21(ji,jj,1,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 320 | |
---|
[719] | 321 | ze11 = akappa(ji,jj-1,1,2) |
---|
| 322 | ze12 = -akappa(ji,jj-1,2,1) |
---|
| 323 | ze22 = +akappa(ji,jj-1,2,2) |
---|
| 324 | ze21 = -akappa(ji,jj-1,1,1) |
---|
| 325 | zvis11 = 2.0 * zviseta (ji,jj-1) + dm |
---|
| 326 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
---|
| 327 | zvis12 = zviseta (ji,jj-1) + dm |
---|
| 328 | zvis21 = zviseta (ji,jj-1) |
---|
[3] | 329 | |
---|
[719] | 330 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 331 | zs11(ji,jj,2,1) = zvis11 * ze11 + zdiag |
---|
| 332 | zs12(ji,jj,2,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 333 | zs22(ji,jj,2,1) = zvis11 * ze22 + zdiag |
---|
| 334 | zs21(ji,jj,2,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 335 | |
---|
[719] | 336 | ze11 = akappa(ji-1,jj,1,2) |
---|
| 337 | ze12 = -akappa(ji-1,jj,2,1) |
---|
| 338 | ze22 = -akappa(ji-1,jj,2,2) |
---|
| 339 | ze21 = akappa(ji-1,jj,1,1) |
---|
| 340 | zvis11 = 2.0 * zviseta (ji-1,jj) + dm |
---|
| 341 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
---|
| 342 | zvis12 = zviseta (ji-1,jj) + dm |
---|
| 343 | zvis21 = zviseta (ji-1,jj) |
---|
[3] | 344 | |
---|
[719] | 345 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 346 | zs11(ji,jj,1,2) = zvis11 * ze11 + zdiag |
---|
| 347 | zs12(ji,jj,1,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 348 | zs22(ji,jj,1,2) = zvis11 * ze22 + zdiag |
---|
| 349 | zs21(ji,jj,1,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 350 | |
---|
[719] | 351 | ze11 = akappa(ji,jj,1,2) |
---|
| 352 | ze12 = -akappa(ji,jj,2,1) |
---|
| 353 | ze22 = -akappa(ji,jj,2,2) |
---|
| 354 | ze21 = -akappa(ji,jj,1,1) |
---|
| 355 | zvis11 = 2.0 * zviseta (ji,jj) + dm |
---|
| 356 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
---|
| 357 | zvis12 = zviseta (ji,jj) + dm |
---|
| 358 | zvis21 = zviseta (ji,jj) |
---|
| 359 | |
---|
| 360 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 361 | zs11(ji,jj,2,2) = zvis11 * ze11 + zdiag |
---|
| 362 | zs12(ji,jj,2,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 363 | zs22(ji,jj,2,2) = zvis11 * ze22 + zdiag |
---|
| 364 | zs21(ji,jj,2,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
| 365 | |
---|
| 366 | END DO |
---|
| 367 | END DO |
---|
| 368 | |
---|
| 369 | DO jj = k_j1+1, k_jpj-1 |
---|
| 370 | DO ji = 2, jpim1 |
---|
| 371 | zc1v(ji,jj) = & |
---|
| 372 | + alambd(ji,jj,2,2,2,1) * zs11(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zs11(ji,jj,2,2) & |
---|
| 373 | - alambd(ji,jj,2,2,1,1) * zs11(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zs11(ji,jj,1,2) & |
---|
| 374 | - alambd(ji,jj,1,1,2,1) * zs12(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zs12(ji,jj,1,1) & |
---|
| 375 | + alambd(ji,jj,1,1,2,2) * zs12(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zs12(ji,jj,1,2) & |
---|
| 376 | + alambd(ji,jj,1,2,1,1) * zs21(ji,jj,1,1) + alambd(ji,jj,1,2,2,1) * zs21(ji,jj,2,1) & |
---|
| 377 | + alambd(ji,jj,1,2,1,2) * zs21(ji,jj,1,2) + alambd(ji,jj,1,2,2,2) * zs21(ji,jj,2,2) & |
---|
| 378 | - alambd(ji,jj,2,1,1,1) * zs22(ji,jj,1,1) - alambd(ji,jj,2,1,2,1) * zs22(ji,jj,2,1) & |
---|
| 379 | - alambd(ji,jj,2,1,1,2) * zs22(ji,jj,1,2) - alambd(ji,jj,2,1,2,2) * zs22(ji,jj,2,2) |
---|
| 380 | zc2v(ji,jj) = & |
---|
| 381 | + alambd(ji,jj,2,2,2,1) * zs21(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zs21(ji,jj,2,2) & |
---|
| 382 | - alambd(ji,jj,2,2,1,1) * zs21(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zs21(ji,jj,1,2) & |
---|
| 383 | - alambd(ji,jj,1,1,2,1) * zs22(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zs22(ji,jj,1,1) & |
---|
| 384 | + alambd(ji,jj,1,1,2,2) * zs22(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zs22(ji,jj,1,2) & |
---|
| 385 | - alambd(ji,jj,1,2,1,1) * zs11(ji,jj,1,1) - alambd(ji,jj,1,2,2,1) * zs11(ji,jj,2,1) & |
---|
| 386 | - alambd(ji,jj,1,2,1,2) * zs11(ji,jj,1,2) - alambd(ji,jj,1,2,2,2) * zs11(ji,jj,2,2) & |
---|
| 387 | + alambd(ji,jj,2,1,1,1) * zs12(ji,jj,1,1) + alambd(ji,jj,2,1,2,1) * zs12(ji,jj,2,1) & |
---|
| 388 | + alambd(ji,jj,2,1,1,2) * zs12(ji,jj,1,2) + alambd(ji,jj,2,1,2,2) * zs12(ji,jj,2,2) |
---|
| 389 | END DO |
---|
| 390 | END DO |
---|
| 391 | |
---|
| 392 | ! Relaxation. |
---|
| 393 | |
---|
| 394 | iflag: DO jter = 1 , nbitdr |
---|
| 395 | |
---|
| 396 | ! Store previous drift field. |
---|
| 397 | DO jj = k_j1, k_jpj-1 |
---|
| 398 | zu_ice(:,jj) = u_ice(:,jj) |
---|
| 399 | zv_ice(:,jj) = v_ice(:,jj) |
---|
[3] | 400 | END DO |
---|
| 401 | |
---|
[77] | 402 | DO jj = k_j1+1, k_jpj-1 |
---|
[719] | 403 | zsang = SIGN( 1.e0, fcor(1,jj) ) * sangvg ! only the sinus changes its sign with the hemisphere |
---|
| 404 | DO ji = 2, jpim1 |
---|
| 405 | zur = u_ice(ji,jj) - u_oce(ji,jj) |
---|
| 406 | zvr = v_ice(ji,jj) - v_oce(ji,jj) |
---|
| 407 | zmod = SQRT( zur * zur + zvr * zvr) * ( 1.0 - zfrld(ji,jj) ) |
---|
| 408 | za = rhoco * zmod |
---|
| 409 | zac = za * cangvg |
---|
| 410 | zmpzas = alpha * zcorl(ji,jj) + za * zsang |
---|
| 411 | zmassdt = zusdtp * zmass(ji,jj) |
---|
| 412 | zcorlal = ( 1.0 - alpha ) * zcorl(ji,jj) |
---|
| 413 | |
---|
| 414 | za1(ji,jj) = zmassdt * zu0(ji,jj) + zcorlal * zv0(ji,jj) + za1ct(ji,jj) & |
---|
| 415 | & + za * ( cangvg * u_oce(ji,jj) - zsang * v_oce(ji,jj) ) |
---|
| 416 | |
---|
| 417 | za2(ji,jj) = zmassdt * zv0(ji,jj) - zcorlal * zu0(ji,jj) + za2ct(ji,jj) & |
---|
| 418 | & + za * ( cangvg * v_oce(ji,jj) + zsang * u_oce(ji,jj) ) |
---|
| 419 | |
---|
| 420 | zb1(ji,jj) = zmassdt + zac - zc1u(ji,jj) |
---|
| 421 | zb2(ji,jj) = zmpzas - zc2u(ji,jj) |
---|
| 422 | zc1(ji,jj) = zmpzas + zc1v(ji,jj) |
---|
| 423 | zc2(ji,jj) = zmassdt + zac - zc2v(ji,jj) |
---|
| 424 | zdeter = zc1(ji,jj) * zb2(ji,jj) + zc2(ji,jj) * zb1(ji,jj) |
---|
| 425 | zden(ji,jj) = SIGN( rone, zdeter) / MAX( epsd , ABS( zdeter ) ) |
---|
| 426 | END DO |
---|
| 427 | END DO |
---|
| 428 | |
---|
| 429 | ! The computation of ice interaction term is splitted into two parts |
---|
| 430 | !------------------------------------------------------------------------- |
---|
| 431 | |
---|
| 432 | ! Terms that do not involve already up-dated velocities. |
---|
| 433 | |
---|
| 434 | DO jj = k_j1+1, k_jpj-1 |
---|
| 435 | DO ji = 2, jpim1 |
---|
| 436 | iim1 = ji |
---|
| 437 | ijm1 = jj - 1 |
---|
| 438 | iip1 = ji + 1 |
---|
| 439 | ijp1 = jj |
---|
| 440 | ze11 = akappa(iim1,ijm1,1,1) * u_ice(iip1,ijp1) + akappa(iim1,ijm1,1,2) * v_ice(iip1,ijp1) |
---|
| 441 | ze12 = + akappa(iim1,ijm1,2,2) * u_ice(iip1,ijp1) - akappa(iim1,ijm1,2,1) * v_ice(iip1,ijp1) |
---|
| 442 | ze22 = + akappa(iim1,ijm1,2,2) * v_ice(iip1,ijp1) + akappa(iim1,ijm1,2,1) * u_ice(iip1,ijp1) |
---|
| 443 | ze21 = akappa(iim1,ijm1,1,1) * v_ice(iip1,ijp1) - akappa(iim1,ijm1,1,2) * u_ice(iip1,ijp1) |
---|
| 444 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 445 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 446 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 447 | zvis21 = zviseta (iim1,ijm1) |
---|
[3] | 448 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[719] | 449 | zs11(ji,jj,2,1) = zvis11 * ze11 + zdiag |
---|
| 450 | zs12(ji,jj,2,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 451 | zs22(ji,jj,2,1) = zvis11 * ze22 + zdiag |
---|
| 452 | zs21(ji,jj,2,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 453 | |
---|
[719] | 454 | |
---|
| 455 | iim1 = ji - 1 |
---|
| 456 | ijm1 = jj |
---|
| 457 | iip1 = ji |
---|
| 458 | ijp1 = jj + 1 |
---|
| 459 | ze11 = akappa(iim1,ijm1,1,1) * ( u_ice(iip1,ijp1) - u_ice(iim1,ijp1) ) & |
---|
| 460 | & + akappa(iim1,ijm1,1,2) * ( v_ice(iip1,ijp1) + v_ice(iim1,ijp1) ) |
---|
| 461 | ze12 = + akappa(iim1,ijm1,2,2) * ( u_ice(iim1,ijp1) + u_ice(iip1,ijp1) ) & |
---|
| 462 | & - akappa(iim1,ijm1,2,1) * ( v_ice(iim1,ijp1) + v_ice(iip1,ijp1) ) |
---|
| 463 | ze22 = + akappa(iim1,ijm1,2,2) * ( v_ice(iim1,ijp1) + v_ice(iip1,ijp1) ) & |
---|
| 464 | & + akappa(iim1,ijm1,2,1) * ( u_ice(iim1,ijp1) + u_ice(iip1,ijp1) ) |
---|
| 465 | ze21 = akappa(iim1,ijm1,1,1) * ( v_ice(iip1,ijp1) - v_ice(iim1,ijp1) ) & |
---|
| 466 | & - akappa(iim1,ijm1,1,2) * ( u_ice(iip1,ijp1) + u_ice(iim1,ijp1) ) |
---|
| 467 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 468 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 469 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 470 | zvis21 = zviseta (iim1,ijm1) |
---|
[3] | 471 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[719] | 472 | zs11(ji,jj,1,2) = zvis11 * ze11 + zdiag |
---|
| 473 | zs12(ji,jj,1,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 474 | zs22(ji,jj,1,2) = zvis11 * ze22 + zdiag |
---|
| 475 | zs21(ji,jj,1,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 476 | |
---|
[719] | 477 | iim1 = ji |
---|
| 478 | ijm1 = jj |
---|
| 479 | iip1 = ji + 1 |
---|
| 480 | ijp1 = jj + 1 |
---|
| 481 | ze11 = akappa(iim1,ijm1,1,1) * ( u_ice(iip1,ijm1) + u_ice(iip1,ijp1) - u_ice(iim1,ijp1) ) & |
---|
| 482 | & + akappa(iim1,ijm1,1,2) * ( v_ice(iip1,ijm1) + v_ice(iip1,ijp1) + v_ice(iim1,ijp1) ) |
---|
| 483 | ze12 = - akappa(iim1,ijm1,2,2) * ( u_ice(iip1,ijm1) - u_ice(iim1,ijp1) - u_ice(iip1,ijp1) ) & |
---|
| 484 | & - akappa(iim1,ijm1,2,1) * ( v_ice(iip1,ijm1) + v_ice(iim1,ijp1) + v_ice(iip1,ijp1) ) |
---|
| 485 | ze22 = - akappa(iim1,ijm1,2,2) * ( v_ice(iip1,ijm1) - v_ice(iim1,ijp1) - v_ice(iip1,ijp1) ) & |
---|
| 486 | & + akappa(iim1,ijm1,2,1) * ( u_ice(iip1,ijm1) + u_ice(iim1,ijp1) + u_ice(iip1,ijp1) ) |
---|
| 487 | ze21 = akappa(iim1,ijm1,1,1) * ( v_ice(iip1,ijm1) + v_ice(iip1,ijp1) - v_ice(iim1,ijp1) ) & |
---|
| 488 | & - akappa(iim1,ijm1,1,2) * ( u_ice(iip1,ijm1) + u_ice(iip1,ijp1) + u_ice(iim1,ijp1) ) |
---|
| 489 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 490 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 491 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 492 | zvis21 = zviseta (iim1,ijm1) |
---|
| 493 | |
---|
[3] | 494 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[719] | 495 | zs11(ji,jj,2,2) = zvis11 * ze11 + zdiag |
---|
| 496 | zs12(ji,jj,2,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 497 | zs22(ji,jj,2,2) = zvis11 * ze22 + zdiag |
---|
| 498 | zs21(ji,jj,2,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 499 | |
---|
[719] | 500 | END DO |
---|
| 501 | END DO |
---|
| 502 | |
---|
| 503 | ! Terms involving already up-dated velocities. |
---|
| 504 | !-Using the arrays zu_ice and zv_ice in the computation of the terms ze leads to JACOBI's method; |
---|
| 505 | ! Using arrays u and v in the computation of the terms ze leads to GAUSS-SEIDEL method. |
---|
| 506 | |
---|
| 507 | DO jj = k_j1+1, k_jpj-1 |
---|
| 508 | DO ji = 2, jpim1 |
---|
| 509 | iim1 = ji - 1 |
---|
| 510 | ijm1 = jj - 1 |
---|
| 511 | iip1 = ji |
---|
| 512 | ijp1 = jj |
---|
| 513 | ze11 = akappa(iim1,ijm1,1,1) * ( zu_ice(iip1,ijm1) - zu_ice(iim1,ijm1) - zu_ice(iim1,ijp1) ) & |
---|
| 514 | & + akappa(iim1,ijm1,1,2) * ( zv_ice(iip1,ijm1) + zv_ice(iim1,ijm1) + zv_ice(iim1,ijp1) ) |
---|
| 515 | ze12 = - akappa(iim1,ijm1,2,2) * ( zu_ice(iim1,ijm1) + zu_ice(iip1,ijm1) - zu_ice(iim1,ijp1) ) & |
---|
| 516 | & - akappa(iim1,ijm1,2,1) * ( zv_ice(iim1,ijm1) + zv_ice(iip1,ijm1) + zv_ice(iim1,ijp1) ) |
---|
| 517 | ze22 = - akappa(iim1,ijm1,2,2) * ( zv_ice(iim1,ijm1) + zv_ice(iip1,ijm1) - zv_ice(iim1,ijp1) ) & |
---|
| 518 | & + akappa(iim1,ijm1,2,1) * ( zu_ice(iim1,ijm1) + zu_ice(iip1,ijm1) + zu_ice(iim1,ijp1) ) |
---|
| 519 | ze21 = akappa(iim1,ijm1,1,1) * ( zv_ice(iip1,ijm1) - zv_ice(iim1,ijm1) - zv_ice(iim1,ijp1) ) & |
---|
| 520 | & - akappa(iim1,ijm1,1,2) * ( zu_ice(iip1,ijm1) + zu_ice(iim1,ijm1) + zu_ice(iim1,ijp1) ) |
---|
| 521 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 522 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 523 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 524 | zvis21 = zviseta (iim1,ijm1) |
---|
| 525 | |
---|
[3] | 526 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[719] | 527 | zs11(ji,jj,1,1) = zvis11 * ze11 + zdiag |
---|
| 528 | zs12(ji,jj,1,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 529 | zs22(ji,jj,1,1) = zvis11 * ze22 + zdiag |
---|
| 530 | zs21(ji,jj,1,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 531 | |
---|
[719] | 532 | #if defined key_agrif |
---|
| 533 | END DO |
---|
| 534 | END DO |
---|
| 535 | |
---|
| 536 | DO jj = k_j1+1, k_jpj-1 |
---|
| 537 | DO ji = 2, jpim1 |
---|
| 538 | #endif |
---|
| 539 | |
---|
| 540 | iim1 = ji |
---|
| 541 | ijm1 = jj - 1 |
---|
| 542 | iip1 = ji + 1 |
---|
| 543 | ze11 = akappa(iim1,ijm1,1,1) * ( zu_ice(iip1,ijm1) - zu_ice(iim1,ijm1) ) & |
---|
| 544 | & + akappa(iim1,ijm1,1,2) * ( zv_ice(iip1,ijm1) + zv_ice(iim1,ijm1) ) |
---|
| 545 | ze12 = - akappa(iim1,ijm1,2,2) * ( zu_ice(iim1,ijm1) + zu_ice(iip1,ijm1) ) & |
---|
| 546 | & - akappa(iim1,ijm1,2,1) * ( zv_ice(iim1,ijm1) + zv_ice(iip1,ijm1) ) |
---|
| 547 | ze22 = - akappa(iim1,ijm1,2,2) * ( zv_ice(iim1,ijm1) + zv_ice(iip1,ijm1) ) & |
---|
| 548 | & + akappa(iim1,ijm1,2,1) * ( zu_ice(iim1,ijm1) + zu_ice(iip1,ijm1) ) |
---|
| 549 | ze21 = akappa(iim1,ijm1,1,1) * ( zv_ice(iip1,ijm1) - zv_ice(iim1,ijm1) ) & |
---|
| 550 | & - akappa(iim1,ijm1,1,2) * ( zu_ice(iip1,ijm1) + zu_ice(iim1,ijm1) ) |
---|
| 551 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 552 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 553 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 554 | zvis21 = zviseta (iim1,ijm1) |
---|
| 555 | |
---|
[3] | 556 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[719] | 557 | zs11(ji,jj,2,1) = zs11(ji,jj,2,1) + zvis11 * ze11 + zdiag |
---|
| 558 | zs12(ji,jj,2,1) = zs12(ji,jj,2,1) + zvis12 * ze12 + zvis21 * ze21 |
---|
| 559 | zs22(ji,jj,2,1) = zs22(ji,jj,2,1) + zvis11 * ze22 + zdiag |
---|
| 560 | zs21(ji,jj,2,1) = zs21(ji,jj,2,1) + zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 561 | |
---|
[719] | 562 | |
---|
| 563 | iim1 = ji - 1 |
---|
| 564 | ijm1 = jj |
---|
| 565 | ze11 = - akappa(iim1,ijm1,1,1) * zu_ice(iim1,ijm1) + akappa(iim1,ijm1,1,2) * zv_ice(iim1,ijm1) |
---|
| 566 | ze12 = - akappa(iim1,ijm1,2,2) * zu_ice(iim1,ijm1) - akappa(iim1,ijm1,2,1) * zv_ice(iim1,ijm1) |
---|
| 567 | ze22 = - akappa(iim1,ijm1,2,2) * zv_ice(iim1,ijm1) + akappa(iim1,ijm1,2,1) * zu_ice(iim1,ijm1) |
---|
| 568 | ze21 = - akappa(iim1,ijm1,1,1) * zv_ice(iim1,ijm1) - akappa(iim1,ijm1,1,2) * zu_ice(iim1,ijm1) |
---|
| 569 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 570 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 571 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 572 | zvis21 = zviseta (iim1,ijm1) |
---|
| 573 | |
---|
[3] | 574 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[719] | 575 | zs11(ji,jj,1,2) = zs11(ji,jj,1,2) + zvis11 * ze11 + zdiag |
---|
| 576 | zs12(ji,jj,1,2) = zs12(ji,jj,1,2) + zvis12 * ze12 + zvis21 * ze21 |
---|
| 577 | zs22(ji,jj,1,2) = zs22(ji,jj,1,2) + zvis11 * ze22 + zdiag |
---|
| 578 | zs21(ji,jj,1,2) = zs21(ji,jj,1,2) + zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 579 | |
---|
[719] | 580 | #if defined key_agrif |
---|
| 581 | END DO |
---|
| 582 | END DO |
---|
[3] | 583 | |
---|
[719] | 584 | DO jj = k_j1+1, k_jpj-1 |
---|
| 585 | DO ji = 2, jpim1 |
---|
| 586 | #endif |
---|
| 587 | zd1(ji,jj) = & |
---|
| 588 | + alambd(ji,jj,2,2,2,1) * zs11(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zs11(ji,jj,2,2) & |
---|
| 589 | - alambd(ji,jj,2,2,1,1) * zs11(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zs11(ji,jj,1,2) & |
---|
| 590 | - alambd(ji,jj,1,1,2,1) * zs12(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zs12(ji,jj,1,1) & |
---|
| 591 | + alambd(ji,jj,1,1,2,2) * zs12(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zs12(ji,jj,1,2) & |
---|
| 592 | + alambd(ji,jj,1,2,1,1) * zs21(ji,jj,1,1) + alambd(ji,jj,1,2,2,1) * zs21(ji,jj,2,1) & |
---|
| 593 | + alambd(ji,jj,1,2,1,2) * zs21(ji,jj,1,2) + alambd(ji,jj,1,2,2,2) * zs21(ji,jj,2,2) & |
---|
| 594 | - alambd(ji,jj,2,1,1,1) * zs22(ji,jj,1,1) - alambd(ji,jj,2,1,2,1) * zs22(ji,jj,2,1) & |
---|
| 595 | - alambd(ji,jj,2,1,1,2) * zs22(ji,jj,1,2) - alambd(ji,jj,2,1,2,2) * zs22(ji,jj,2,2) |
---|
| 596 | zd2(ji,jj) = & |
---|
| 597 | + alambd(ji,jj,2,2,2,1) * zs21(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zs21(ji,jj,2,2) & |
---|
| 598 | - alambd(ji,jj,2,2,1,1) * zs21(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zs21(ji,jj,1,2) & |
---|
| 599 | - alambd(ji,jj,1,1,2,1) * zs22(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zs22(ji,jj,1,1) & |
---|
| 600 | + alambd(ji,jj,1,1,2,2) * zs22(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zs22(ji,jj,1,2) & |
---|
| 601 | - alambd(ji,jj,1,2,1,1) * zs11(ji,jj,1,1) - alambd(ji,jj,1,2,2,1) * zs11(ji,jj,2,1) & |
---|
| 602 | - alambd(ji,jj,1,2,1,2) * zs11(ji,jj,1,2) - alambd(ji,jj,1,2,2,2) * zs11(ji,jj,2,2) & |
---|
| 603 | + alambd(ji,jj,2,1,1,1) * zs12(ji,jj,1,1) + alambd(ji,jj,2,1,2,1) * zs12(ji,jj,2,1) & |
---|
| 604 | + alambd(ji,jj,2,1,1,2) * zs12(ji,jj,1,2) + alambd(ji,jj,2,1,2,2) * zs12(ji,jj,2,2) |
---|
| 605 | END DO |
---|
| 606 | END DO |
---|
[3] | 607 | |
---|
[719] | 608 | DO jj = k_j1+1, k_jpj-1 |
---|
| 609 | DO ji = 2, jpim1 |
---|
| 610 | zunw = ( ( za1(ji,jj) + zd1(ji,jj) ) * zc2(ji,jj) & |
---|
| 611 | & + ( za2(ji,jj) + zd2(ji,jj) ) * zc1(ji,jj) ) * zden(ji,jj) |
---|
[3] | 612 | |
---|
[719] | 613 | zvnw = ( ( za2(ji,jj) + zd2(ji,jj) ) * zb1(ji,jj) & |
---|
| 614 | & - ( za1(ji,jj) + zd1(ji,jj) ) * zb2(ji,jj) ) * zden(ji,jj) |
---|
[3] | 615 | |
---|
[719] | 616 | zmask = ( 1.0 - MAX( rzero, SIGN( rone , 1.0 - zmass(ji,jj) ) ) ) * tmu(ji,jj) |
---|
| 617 | |
---|
| 618 | u_ice(ji,jj) = ( u_ice(ji,jj) + om * ( zunw - u_ice(ji,jj) ) * tmu(ji,jj) ) * zmask |
---|
| 619 | v_ice(ji,jj) = ( v_ice(ji,jj) + om * ( zvnw - v_ice(ji,jj) ) * tmu(ji,jj) ) * zmask |
---|
[3] | 620 | END DO |
---|
| 621 | END DO |
---|
| 622 | |
---|
[719] | 623 | CALL lbc_lnk( u_ice, 'I', -1. ) |
---|
| 624 | CALL lbc_lnk( v_ice, 'I', -1. ) |
---|
[3] | 625 | |
---|
[719] | 626 | !--- 5.2.5.4. Convergence test. |
---|
[77] | 627 | DO jj = k_j1+1 , k_jpj-1 |
---|
[719] | 628 | zresr(:,jj) = MAX( ABS( u_ice(:,jj) - zu_ice(:,jj) ) , ABS( v_ice(:,jj) - zv_ice(:,jj) ) ) |
---|
[3] | 629 | END DO |
---|
[719] | 630 | zresm = MAXVAL( zresr( 1:jpi , k_j1+1:k_jpj-1 ) ) |
---|
[77] | 631 | IF( lk_mpp ) CALL mpp_max( zresm ) ! max over the global domain |
---|
[3] | 632 | |
---|
[719] | 633 | IF ( zresm <= resl) EXIT iflag |
---|
[3] | 634 | |
---|
[719] | 635 | END DO iflag |
---|
[3] | 636 | |
---|
[719] | 637 | zindu1 = 1.0 - zindu |
---|
| 638 | DO jj = k_j1 , k_jpj-1 |
---|
| 639 | zu0(:,jj) = zindu * zu0(:,jj) + zindu1 * u_ice(:,jj) |
---|
| 640 | zv0(:,jj) = zindu * zv0(:,jj) + zindu1 * v_ice(:,jj) |
---|
| 641 | END DO |
---|
| 642 | ! ! ==================== ! |
---|
[3] | 643 | END DO ! end loop over iter ! |
---|
| 644 | ! ! ==================== ! |
---|
| 645 | |
---|
[258] | 646 | IF(ln_ctl) THEN |
---|
| 647 | WRITE(charout,FMT="('lim_rhg : res =',D23.16, ' iter =',I4)") zresm, jter |
---|
| 648 | CALL prt_ctl_info(charout) |
---|
[719] | 649 | CALL prt_ctl(tab2d_1=u_ice, clinfo1=' lim_rhg : u_ice :', tab2d_2=v_ice, clinfo2=' v_ice :') |
---|
[3] | 650 | ENDIF |
---|
| 651 | |
---|
| 652 | END SUBROUTINE lim_rhg |
---|
[77] | 653 | |
---|
[3] | 654 | #else |
---|
[77] | 655 | !!---------------------------------------------------------------------- |
---|
| 656 | !! Default option Dummy module NO LIM sea-ice model |
---|
| 657 | !!---------------------------------------------------------------------- |
---|
[3] | 658 | CONTAINS |
---|
[77] | 659 | SUBROUTINE lim_rhg( k1 , k2 ) ! Dummy routine |
---|
| 660 | WRITE(*,*) 'lim_rhg: You should not have seen this print! error?', k1, k2 |
---|
[3] | 661 | END SUBROUTINE lim_rhg |
---|
| 662 | #endif |
---|
| 663 | |
---|
[77] | 664 | !!============================================================================== |
---|
[3] | 665 | END MODULE limrhg |
---|