[821] | 1 | MODULE limrhg_2 |
---|
[3] | 2 | !!====================================================================== |
---|
[821] | 3 | !! *** MODULE limrhg_2 *** |
---|
[3] | 4 | !! Ice rheology : performs sea ice rheology |
---|
| 5 | !!====================================================================== |
---|
[2528] | 6 | !! History : 0.0 ! 1993-12 (M.A. Morales Maqueda.) Original code |
---|
| 7 | !! 1.0 ! 1994-12 (H. Goosse) |
---|
| 8 | !! 2.0 ! 2003-12 (C. Ethe, G. Madec) F90, mpp |
---|
| 9 | !! - ! 2006-08 (G. Madec) surface module, ice-stress at I-point |
---|
| 10 | !! - ! 2009-09 (G. Madec) Huge verctor optimisation |
---|
| 11 | !! 3.3 ! 2009-05 (G.Garric, C. Bricaud) addition of the lim2_evp case |
---|
[888] | 12 | !!---------------------------------------------------------------------- |
---|
[2528] | 13 | #if defined key_lim2 && defined key_lim2_vp |
---|
[3] | 14 | !!---------------------------------------------------------------------- |
---|
[2528] | 15 | !! 'key_lim2' AND LIM-2 sea-ice model |
---|
| 16 | !! 'key_lim2_vp' VP ice rheology |
---|
[77] | 17 | !!---------------------------------------------------------------------- |
---|
[821] | 18 | !! lim_rhg_2 : computes ice velocities |
---|
[3] | 19 | !!---------------------------------------------------------------------- |
---|
[888] | 20 | USE par_oce ! ocean parameter |
---|
[1711] | 21 | USE dom_oce ! ocean space and time domain |
---|
| 22 | USE sbc_oce ! surface boundary condition: ocean variables |
---|
[888] | 23 | USE sbc_ice ! surface boundary condition: ice variables |
---|
[2528] | 24 | USE dom_ice_2 ! LIM2: ice domain |
---|
[888] | 25 | USE phycst ! physical constant |
---|
[2528] | 26 | USE ice_2 ! LIM2: ice variables |
---|
| 27 | USE lbclnk ! lateral boundary condition - MPP exchanges |
---|
[888] | 28 | USE lib_mpp ! MPP library |
---|
[3294] | 29 | USE wrk_nemo ! work arrays |
---|
[888] | 30 | USE in_out_manager ! I/O manager |
---|
| 31 | USE prtctl ! Print control |
---|
[3625] | 32 | USE oce , ONLY : snwice_mass, snwice_mass_b |
---|
| 33 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
---|
[3] | 34 | |
---|
| 35 | IMPLICIT NONE |
---|
| 36 | PRIVATE |
---|
| 37 | |
---|
[2715] | 38 | PUBLIC lim_rhg_2 ! routine called by lim_dyn |
---|
[3] | 39 | |
---|
[2528] | 40 | REAL(wp) :: rzero = 0._wp ! constant value: zero |
---|
| 41 | REAL(wp) :: rone = 1._wp ! and one |
---|
[888] | 42 | |
---|
| 43 | !! * Substitutions |
---|
| 44 | # include "vectopt_loop_substitute.h90" |
---|
[3] | 45 | !!---------------------------------------------------------------------- |
---|
[2528] | 46 | !! NEMO/LIM2 3.3 , UCL - NEMO Consortium (2010) |
---|
[1156] | 47 | !! $Id$ |
---|
[2528] | 48 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
[3] | 49 | !!---------------------------------------------------------------------- |
---|
| 50 | CONTAINS |
---|
| 51 | |
---|
[821] | 52 | SUBROUTINE lim_rhg_2( k_j1, k_jpj ) |
---|
[3] | 53 | !!------------------------------------------------------------------- |
---|
[821] | 54 | !! *** SUBROUTINR lim_rhg_2 *** |
---|
[77] | 55 | !! |
---|
[12] | 56 | !! ** purpose : determines the velocity field of sea ice by using |
---|
| 57 | !! atmospheric (wind stress) and oceanic (water stress and surface |
---|
| 58 | !! tilt) forcings. Ice-ice interaction is described by a non-linear |
---|
[391] | 59 | !! viscous-plastic law including shear strength and a bulk rheology. |
---|
[3] | 60 | !! |
---|
[1470] | 61 | !! ** Action : - compute u_ice, v_ice the sea-ice velocity defined |
---|
[888] | 62 | !! at I-point |
---|
| 63 | !!------------------------------------------------------------------- |
---|
| 64 | INTEGER, INTENT(in) :: k_j1 ! southern j-index for ice computation |
---|
| 65 | INTEGER, INTENT(in) :: k_jpj ! northern j-index for ice computation |
---|
[719] | 66 | !! |
---|
[12] | 67 | INTEGER :: ji, jj ! dummy loop indices |
---|
[888] | 68 | INTEGER :: iter, jter ! temporary integers |
---|
| 69 | CHARACTER (len=50) :: charout |
---|
[2528] | 70 | REAL(wp) :: ze11 , ze12 , ze22 , ze21 ! local scalars |
---|
| 71 | REAL(wp) :: zt11 , zt12 , zt21 , zt22 ! - - |
---|
| 72 | REAL(wp) :: zvis11, zvis21, zvis12, zvis22 ! - - |
---|
| 73 | REAL(wp) :: zgphsx, ztagnx, zgsshx, zunw, zur, zusw ! - - |
---|
| 74 | REAL(wp) :: zgphsy, ztagny, zgsshy, zvnw, zvr ! - - |
---|
[888] | 75 | REAL(wp) :: zresm, za, zac, zmod |
---|
| 76 | REAL(wp) :: zmpzas, zstms, zindu, zusdtp, zmassdt, zcorlal |
---|
| 77 | REAL(wp) :: ztrace2, zdeter, zdelta, zmask, zdgp, zdgi, zdiag |
---|
| 78 | REAL(wp) :: za1, zb1, zc1, zd1 |
---|
| 79 | REAL(wp) :: za2, zb2, zc2, zd2, zden |
---|
| 80 | REAL(wp) :: zs11_11, zs11_12, zs11_21, zs11_22 |
---|
| 81 | REAL(wp) :: zs12_11, zs12_12, zs12_21, zs12_22 |
---|
| 82 | REAL(wp) :: zs21_11, zs21_12, zs21_21, zs21_22 |
---|
| 83 | REAL(wp) :: zs22_11, zs22_12, zs22_21, zs22_22 |
---|
[3625] | 84 | REAL(wp) :: zintb, zintn |
---|
[3294] | 85 | REAL(wp), POINTER, DIMENSION(:,:) :: zfrld, zmass, zcorl |
---|
| 86 | REAL(wp), POINTER, DIMENSION(:,:) :: za1ct, za2ct, zresr |
---|
| 87 | REAL(wp), POINTER, DIMENSION(:,:) :: zc1u, zc1v, zc2u, zc2v |
---|
[3625] | 88 | REAL(wp), POINTER, DIMENSION(:,:) :: zsang, zpice |
---|
[3294] | 89 | REAL(wp), POINTER, DIMENSION(:,:) :: zu0, zv0 |
---|
| 90 | REAL(wp), POINTER, DIMENSION(:,:) :: zu_n, zv_n |
---|
| 91 | REAL(wp), POINTER, DIMENSION(:,:) :: zu_a, zv_a |
---|
| 92 | REAL(wp), POINTER, DIMENSION(:,:) :: zviszeta, zviseta |
---|
| 93 | REAL(wp), POINTER, DIMENSION(:,:) :: zzfrld, zztms |
---|
| 94 | REAL(wp), POINTER, DIMENSION(:,:) :: zi1, zi2, zmasst, zpresh |
---|
[888] | 95 | !!------------------------------------------------------------------- |
---|
[3] | 96 | |
---|
[3294] | 97 | CALL wrk_alloc( jpi,jpj, zfrld, zmass, zcorl, za1ct, za2ct, zresr ) |
---|
[3625] | 98 | CALL wrk_alloc( jpi,jpj, zc1u , zc1v , zc2u , zc2v , zsang, zpice ) |
---|
[3294] | 99 | CALL wrk_alloc( jpi,jpj+2, zu0, zv0, zu_n, zv_n, zu_a, zv_a, zviszeta, zviseta, kjstart = 0 ) |
---|
| 100 | CALL wrk_alloc( jpi,jpj+2, zzfrld, zztms, zi1, zi2, zmasst, zpresh, kjstart = 0 ) |
---|
| 101 | |
---|
[77] | 102 | ! Store initial velocities |
---|
[888] | 103 | ! ---------------- |
---|
[2528] | 104 | zztms(:,0 ) = 0._wp ; zzfrld(:,0 ) = 0._wp |
---|
| 105 | zztms(:,jpj+1) = 0._wp ; zzfrld(:,jpj+1) = 0._wp |
---|
| 106 | zu0 (:,0 ) = 0._wp ; zv0 (:,0 ) = 0._wp |
---|
| 107 | zu0 (:,jpj+1) = 0._wp ; zv0 (:,jpj+1) = 0._wp |
---|
| 108 | zztms(:,1:jpj) = tms (:,:) ; zzfrld(:,1:jpj) = frld (:,:) |
---|
| 109 | zu0 (:,1:jpj) = u_ice(:,:) ; zv0 (:,1:jpj) = v_ice(:,:) |
---|
| 110 | zu_a (:, : ) = zu0 (:,:) ; zv_a (:, : ) = zv0 (:,:) |
---|
| 111 | zu_n (:, : ) = zu0 (:,:) ; zv_n (:, : ) = zv0 (:,:) |
---|
[3] | 112 | |
---|
[888] | 113 | !i |
---|
[2528] | 114 | zi1 (:,:) = 0._wp |
---|
| 115 | zi2 (:,:) = 0._wp |
---|
| 116 | zpresh(:,:) = 0._wp |
---|
| 117 | zmasst(:,:) = 0._wp |
---|
[888] | 118 | !i |
---|
| 119 | !!gm violant |
---|
[2528] | 120 | zfrld(:,:) =0._wp |
---|
| 121 | zcorl(:,:) =0._wp |
---|
| 122 | zmass(:,:) =0._wp |
---|
| 123 | za1ct(:,:) =0._wp |
---|
| 124 | za2ct(:,:) =0._wp |
---|
[888] | 125 | !!gm end |
---|
| 126 | |
---|
[2528] | 127 | zviszeta(:,:) = 0._wp |
---|
| 128 | zviseta (:,:) = 0._wp |
---|
[888] | 129 | |
---|
[2528] | 130 | !i zviszeta(:,0 ) = 0._wp ; zviseta(:,0 ) = 0._wp |
---|
| 131 | !i zviszeta(:,jpj ) = 0._wp ; zviseta(:,jpj ) = 0._wp |
---|
| 132 | !i zviszeta(:,jpj+1) = 0._wp ; zviseta(:,jpj+1) = 0._wp |
---|
[888] | 133 | |
---|
[3625] | 134 | IF( nn_ice_embd == 2 ) THEN !== embedded sea ice: compute representative ice top surface ==! |
---|
| 135 | ! |
---|
| 136 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[n/nn_fsbc], n=0,nn_fsbc-1} |
---|
| 137 | ! = (1/nn_fsbc)^2 * {SUM[n], n=0,nn_fsbc-1} |
---|
| 138 | zintn = REAL( nn_fsbc - 1 ) / REAL( nn_fsbc ) * 0.5_wp |
---|
| 139 | ! |
---|
| 140 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[1-n/nn_fsbc], n=0,nn_fsbc-1} |
---|
| 141 | ! = (1/nn_fsbc)^2 * (nn_fsbc^2 - {SUM[n], n=0,nn_fsbc-1}) |
---|
| 142 | zintb = REAL( nn_fsbc + 1 ) / REAL( nn_fsbc ) * 0.5_wp |
---|
| 143 | ! |
---|
| 144 | zpice(:,:) = ssh_m(:,:) + ( zintn * snwice_mass(:,:) + zintb * snwice_mass_b(:,:) ) * r1_rau0 |
---|
| 145 | ! |
---|
| 146 | ! |
---|
| 147 | ELSE !== non-embedded sea ice: use ocean surface for slope calculation ==! |
---|
| 148 | zpice(:,:) = ssh_m(:,:) |
---|
| 149 | ENDIF |
---|
[888] | 150 | |
---|
[717] | 151 | ! Ice mass, ice strength, and wind stress at the center | |
---|
| 152 | ! of the grid squares. | |
---|
[77] | 153 | !------------------------------------------------------------------- |
---|
[3] | 154 | |
---|
[888] | 155 | !CDIR NOVERRCHK |
---|
[77] | 156 | DO jj = k_j1 , k_jpj-1 |
---|
[888] | 157 | !CDIR NOVERRCHK |
---|
[3] | 158 | DO ji = 1 , jpi |
---|
[888] | 159 | ! only the sinus changes its sign with the hemisphere |
---|
[2528] | 160 | zsang(ji,jj) = SIGN( 1._wp, fcor(ji,jj) ) * sangvg ! only the sinus changes its sign with the hemisphere |
---|
[888] | 161 | ! |
---|
| 162 | zmasst(ji,jj) = tms(ji,jj) * ( rhosn * hsnm(ji,jj) + rhoic * hicm(ji,jj) ) |
---|
[3] | 163 | zpresh(ji,jj) = tms(ji,jj) * pstarh * hicm(ji,jj) * EXP( -c_rhg * frld(ji,jj) ) |
---|
[888] | 164 | !!gm :: stress given at I-point (F-point for the ocean) only compute the ponderation with the ice fraction (1-frld) |
---|
[2528] | 165 | zi1(ji,jj) = tms(ji,jj) * ( 1._wp - frld(ji,jj) ) |
---|
| 166 | zi2(ji,jj) = tms(ji,jj) * ( 1._wp - frld(ji,jj) ) |
---|
[3] | 167 | END DO |
---|
| 168 | END DO |
---|
| 169 | |
---|
[717] | 170 | |
---|
[3] | 171 | !--------------------------------------------------------------------------- |
---|
[717] | 172 | ! Wind stress, coriolis and mass terms at the corners of the grid squares | |
---|
| 173 | ! Gradient of ice strenght. | |
---|
| 174 | !--------------------------------------------------------------------------- |
---|
[3] | 175 | |
---|
[77] | 176 | DO jj = k_j1+1, k_jpj-1 |
---|
[1774] | 177 | DO ji = 2, jpi ! NO vector opt. |
---|
[888] | 178 | zstms = zztms(ji,jj ) * wght(ji,jj,2,2) + zztms(ji-1,jj ) * wght(ji,jj,1,2) & |
---|
| 179 | & + zztms(ji,jj-1) * wght(ji,jj,2,1) + zztms(ji-1,jj-1) * wght(ji,jj,1,1) |
---|
[2528] | 180 | zusw = 1._wp / MAX( zstms, epsd ) |
---|
[3] | 181 | |
---|
[888] | 182 | zt11 = zztms(ji ,jj ) * zzfrld(ji ,jj ) |
---|
| 183 | zt12 = zztms(ji-1,jj ) * zzfrld(ji-1,jj ) |
---|
| 184 | zt21 = zztms(ji ,jj-1) * zzfrld(ji ,jj-1) |
---|
| 185 | zt22 = zztms(ji-1,jj-1) * zzfrld(ji-1,jj-1) |
---|
[3] | 186 | |
---|
[717] | 187 | ! Leads area. |
---|
| 188 | zfrld(ji,jj) = ( zt11 * wght(ji,jj,2,2) + zt12 * wght(ji,jj,1,2) & |
---|
| 189 | & + zt21 * wght(ji,jj,2,1) + zt22 * wght(ji,jj,1,1) ) * zusw |
---|
[3] | 190 | |
---|
[888] | 191 | ! Mass and coriolis coeff. at I-point |
---|
| 192 | zmass(ji,jj) = ( zmasst(ji,jj ) * wght(ji,jj,2,2) + zmasst(ji-1,jj ) * wght(ji,jj,1,2) & |
---|
| 193 | & + zmasst(ji,jj-1) * wght(ji,jj,2,1) + zmasst(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw |
---|
[1569] | 194 | zcorl(ji,jj) = zmass(ji,jj) & |
---|
| 195 | & *( fcor(ji,jj ) * wght(ji,jj,2,2) + fcor(ji-1,jj )*wght(ji,jj,1,2) & |
---|
| 196 | & + fcor(ji,jj-1) * wght(ji,jj,2,1) + fcor(ji-1,jj-1)*wght(ji,jj,1,1) ) * zusw |
---|
[717] | 197 | |
---|
[700] | 198 | ! Wind stress. |
---|
[1469] | 199 | ! always provide stress at I-point |
---|
[888] | 200 | ztagnx = ( zi1(ji,jj ) * wght(ji,jj,2,2) + zi1(ji-1,jj ) * wght(ji,jj,1,2) & |
---|
[1469] | 201 | & + zi1(ji,jj-1) * wght(ji,jj,2,1) + zi1(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw * utau_ice(ji,jj) |
---|
[888] | 202 | ztagny = ( zi2(ji,jj ) * wght(ji,jj,2,2) + zi2(ji-1,jj ) * wght(ji,jj,1,2) & |
---|
[1469] | 203 | & + zi2(ji,jj-1) * wght(ji,jj,2,1) + zi2(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw * vtau_ice(ji,jj) |
---|
[700] | 204 | |
---|
[3] | 205 | ! Gradient of ice strength |
---|
| 206 | zgphsx = ( alambd(ji,jj,2,2,2,1) - alambd(ji,jj,2,1,2,1) ) * zpresh(ji ,jj-1) & |
---|
| 207 | & + ( alambd(ji,jj,2,2,2,2) - alambd(ji,jj,2,1,2,2) ) * zpresh(ji ,jj ) & |
---|
| 208 | & - ( alambd(ji,jj,2,2,1,1) + alambd(ji,jj,2,1,1,1) ) * zpresh(ji-1,jj-1) & |
---|
| 209 | & - ( alambd(ji,jj,2,2,1,2) + alambd(ji,jj,2,1,1,2) ) * zpresh(ji-1,jj ) |
---|
| 210 | |
---|
| 211 | zgphsy = - ( alambd(ji,jj,1,1,2,1) + alambd(ji,jj,1,2,2,1) ) * zpresh(ji ,jj-1) & |
---|
| 212 | & - ( alambd(ji,jj,1,1,1,1) + alambd(ji,jj,1,2,1,1) ) * zpresh(ji-1,jj-1) & |
---|
| 213 | & + ( alambd(ji,jj,1,1,2,2) - alambd(ji,jj,1,2,2,2) ) * zpresh(ji ,jj ) & |
---|
| 214 | & + ( alambd(ji,jj,1,1,1,2) - alambd(ji,jj,1,2,1,2) ) * zpresh(ji-1,jj ) |
---|
| 215 | |
---|
[1711] | 216 | ! Gradient of the sea surface height |
---|
[3625] | 217 | zgsshx = ( (zpice(ji ,jj ) - zpice(ji-1,jj ))/e1u(ji-1,jj ) & |
---|
| 218 | & + (zpice(ji ,jj-1) - zpice(ji-1,jj-1))/e1u(ji-1,jj-1) ) * 0.5_wp |
---|
| 219 | zgsshy = ( (zpice(ji ,jj ) - zpice(ji ,jj-1))/e2v(ji ,jj-1) & |
---|
| 220 | & + (zpice(ji-1,jj ) - zpice(ji-1,jj-1))/e2v(ji-1,jj-1) ) * 0.5_wp |
---|
[1711] | 221 | |
---|
[3] | 222 | ! Computation of the velocity field taking into account the ice-ice interaction. |
---|
[888] | 223 | ! Terms that are independent of the ice velocity field. |
---|
[1711] | 224 | za1ct(ji,jj) = ztagnx - zmass(ji,jj) * grav * zgsshx - zgphsx |
---|
| 225 | za2ct(ji,jj) = ztagny - zmass(ji,jj) * grav * zgsshy - zgphsy |
---|
[3] | 226 | END DO |
---|
| 227 | END DO |
---|
| 228 | |
---|
| 229 | |
---|
| 230 | ! SOLUTION OF THE MOMENTUM EQUATION. |
---|
| 231 | !------------------------------------------ |
---|
| 232 | ! ! ==================== ! |
---|
| 233 | DO iter = 1 , 2 * nbiter ! loop over iter ! |
---|
| 234 | ! ! ==================== ! |
---|
| 235 | zindu = MOD( iter , 2 ) |
---|
[2528] | 236 | zusdtp = ( zindu * 2._wp + ( 1._wp - zindu ) * 1._wp ) * REAL( nbiter ) / rdt_ice |
---|
[3] | 237 | |
---|
| 238 | ! Computation of free drift field for free slip boundary conditions. |
---|
| 239 | |
---|
[888] | 240 | !CDIR NOVERRCHK |
---|
| 241 | DO jj = k_j1, k_jpj-1 |
---|
| 242 | !CDIR NOVERRCHK |
---|
| 243 | DO ji = 1, fs_jpim1 |
---|
| 244 | !- Rate of strain tensor. |
---|
| 245 | zt11 = akappa(ji,jj,1,1) * ( zu_a(ji+1,jj) + zu_a(ji+1,jj+1) - zu_a(ji,jj ) - zu_a(ji ,jj+1) ) & |
---|
| 246 | & + akappa(ji,jj,1,2) * ( zv_a(ji+1,jj) + zv_a(ji+1,jj+1) + zv_a(ji,jj ) + zv_a(ji ,jj+1) ) |
---|
| 247 | zt12 = - akappa(ji,jj,2,2) * ( zu_a(ji ,jj) + zu_a(ji+1,jj ) - zu_a(ji,jj+1) - zu_a(ji+1,jj+1) ) & |
---|
| 248 | & - akappa(ji,jj,2,1) * ( zv_a(ji ,jj) + zv_a(ji+1,jj ) + zv_a(ji,jj+1) + zv_a(ji+1,jj+1) ) |
---|
| 249 | zt22 = - akappa(ji,jj,2,2) * ( zv_a(ji ,jj) + zv_a(ji+1,jj ) - zv_a(ji,jj+1) - zv_a(ji+1,jj+1) ) & |
---|
| 250 | & + akappa(ji,jj,2,1) * ( zu_a(ji ,jj) + zu_a(ji+1,jj ) + zu_a(ji,jj+1) + zu_a(ji+1,jj+1) ) |
---|
| 251 | zt21 = akappa(ji,jj,1,1) * ( zv_a(ji+1,jj) + zv_a(ji+1,jj+1) - zv_a(ji,jj ) - zv_a(ji ,jj+1) ) & |
---|
| 252 | & - akappa(ji,jj,1,2) * ( zu_a(ji+1,jj) + zu_a(ji+1,jj+1) + zu_a(ji,jj ) + zu_a(ji ,jj+1) ) |
---|
[3] | 253 | |
---|
[888] | 254 | !- Rate of strain tensor. |
---|
| 255 | zdgp = zt11 + zt22 |
---|
| 256 | zdgi = zt12 + zt21 |
---|
| 257 | ztrace2 = zdgp * zdgp |
---|
[2528] | 258 | zdeter = zt11 * zt22 - 0.25_wp * zdgi * zdgi |
---|
[3] | 259 | |
---|
[888] | 260 | ! Creep limit depends on the size of the grid. |
---|
[2528] | 261 | zdelta = MAX( SQRT( ztrace2 + ( ztrace2 - 4._wp * zdeter ) * usecc2 ), creepl) |
---|
[3] | 262 | |
---|
[888] | 263 | !- Computation of viscosities. |
---|
| 264 | zviszeta(ji,jj) = MAX( zpresh(ji,jj) / zdelta, etamn ) |
---|
| 265 | zviseta (ji,jj) = zviszeta(ji,jj) * usecc2 |
---|
| 266 | END DO |
---|
| 267 | END DO |
---|
[3] | 268 | |
---|
[888] | 269 | !- Determination of zc1u, zc2u, zc1v and zc2v. |
---|
| 270 | DO jj = k_j1+1, k_jpj-1 |
---|
[1347] | 271 | DO ji = 2, fs_jpim1 ! NO vector opt. |
---|
[888] | 272 | !* zc1u , zc2v |
---|
[2528] | 273 | zvis11 = 2._wp * zviseta (ji-1,jj-1) + dm |
---|
| 274 | zvis12 = zviseta (ji-1,jj-1) + dm |
---|
| 275 | zvis21 = zviseta (ji-1,jj-1) |
---|
| 276 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
---|
[888] | 277 | zdiag = zvis22 * ( akappa(ji-1,jj-1,1,1) + akappa(ji-1,jj-1,2,1) ) |
---|
| 278 | zs11_11 = zvis11 * akappa(ji-1,jj-1,1,1) + zdiag |
---|
| 279 | zs12_11 = zvis12 * akappa(ji-1,jj-1,2,2) - zvis21 * akappa(ji-1,jj-1,1,2) |
---|
| 280 | zs21_11 = -zvis12 * akappa(ji-1,jj-1,1,2) + zvis21 * akappa(ji-1,jj-1,2,2) |
---|
| 281 | zs22_11 = zvis11 * akappa(ji-1,jj-1,2,1) + zdiag |
---|
[3] | 282 | |
---|
[2528] | 283 | zvis11 = 2._wp * zviseta (ji,jj-1) + dm |
---|
| 284 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
---|
| 285 | zvis12 = zviseta (ji,jj-1) + dm |
---|
| 286 | zvis21 = zviseta (ji,jj-1) |
---|
[888] | 287 | zdiag = zvis22 * ( -akappa(ji,jj-1,1,1) + akappa(ji,jj-1,2,1) ) |
---|
| 288 | zs11_21 = -zvis11 * akappa(ji,jj-1,1,1) + zdiag |
---|
| 289 | zs12_21 = zvis12 * akappa(ji,jj-1,2,2) - zvis21 * akappa(ji,jj-1,1,2) |
---|
| 290 | zs22_21 = zvis11 * akappa(ji,jj-1,2,1) + zdiag |
---|
| 291 | zs21_21 = -zvis12 * akappa(ji,jj-1,1,2) + zvis21 * akappa(ji,jj-1,2,2) |
---|
[3] | 292 | |
---|
[2528] | 293 | zvis11 = 2._wp * zviseta (ji-1,jj) + dm |
---|
| 294 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
---|
| 295 | zvis12 = zviseta (ji-1,jj) + dm |
---|
| 296 | zvis21 = zviseta (ji-1,jj) |
---|
| 297 | zdiag = zvis22 * ( akappa(ji-1,jj,1,1) + akappa(ji-1,jj,2,1) ) |
---|
[888] | 298 | zs11_12 = zvis11 * akappa(ji-1,jj,1,1) + zdiag |
---|
| 299 | zs12_12 = -zvis12 * akappa(ji-1,jj,2,2) - zvis21 * akappa(ji-1,jj,1,2) |
---|
| 300 | zs22_12 = zvis11 * akappa(ji-1,jj,2,1) + zdiag |
---|
| 301 | zs21_12 = -zvis12 * akappa(ji-1,jj,1,2) - zvis21 * akappa(ji-1,jj,2,2) |
---|
[3] | 302 | |
---|
[2528] | 303 | zvis11 = 2._wp * zviseta (ji,jj) + dm |
---|
| 304 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
---|
| 305 | zvis12 = zviseta (ji,jj) + dm |
---|
| 306 | zvis21 = zviseta (ji,jj) |
---|
[888] | 307 | zdiag = zvis22 * ( -akappa(ji,jj,1,1) + akappa(ji,jj,2,1) ) |
---|
| 308 | zs11_22 = -zvis11 * akappa(ji,jj,1,1) + zdiag |
---|
| 309 | zs12_22 = -zvis12 * akappa(ji,jj,2,2) - zvis21 * akappa(ji,jj,1,2) |
---|
| 310 | zs22_22 = zvis11 * akappa(ji,jj,2,1) + zdiag |
---|
| 311 | zs21_22 = -zvis12 * akappa(ji,jj,1,2) - zvis21 * akappa(ji,jj,2,2) |
---|
[3] | 312 | |
---|
[888] | 313 | zc1u(ji,jj) = + alambd(ji,jj,2,2,2,1) * zs11_21 + alambd(ji,jj,2,2,2,2) * zs11_22 & |
---|
| 314 | & - alambd(ji,jj,2,2,1,1) * zs11_11 - alambd(ji,jj,2,2,1,2) * zs11_12 & |
---|
| 315 | & - alambd(ji,jj,1,1,2,1) * zs12_21 - alambd(ji,jj,1,1,1,1) * zs12_11 & |
---|
| 316 | & + alambd(ji,jj,1,1,2,2) * zs12_22 + alambd(ji,jj,1,1,1,2) * zs12_12 & |
---|
| 317 | & + alambd(ji,jj,1,2,1,1) * zs21_11 + alambd(ji,jj,1,2,2,1) * zs21_21 & |
---|
| 318 | & + alambd(ji,jj,1,2,1,2) * zs21_12 + alambd(ji,jj,1,2,2,2) * zs21_22 & |
---|
| 319 | & - alambd(ji,jj,2,1,1,1) * zs22_11 - alambd(ji,jj,2,1,2,1) * zs22_21 & |
---|
| 320 | & - alambd(ji,jj,2,1,1,2) * zs22_12 - alambd(ji,jj,2,1,2,2) * zs22_22 |
---|
[3] | 321 | |
---|
[888] | 322 | zc2u(ji,jj) = + alambd(ji,jj,2,2,2,1) * zs21_21 + alambd(ji,jj,2,2,2,2) * zs21_22 & |
---|
| 323 | & - alambd(ji,jj,2,2,1,1) * zs21_11 - alambd(ji,jj,2,2,1,2) * zs21_12 & |
---|
| 324 | & - alambd(ji,jj,1,1,2,1) * zs22_21 - alambd(ji,jj,1,1,1,1) * zs22_11 & |
---|
| 325 | & + alambd(ji,jj,1,1,2,2) * zs22_22 + alambd(ji,jj,1,1,1,2) * zs22_12 & |
---|
| 326 | & - alambd(ji,jj,1,2,1,1) * zs11_11 - alambd(ji,jj,1,2,2,1) * zs11_21 & |
---|
| 327 | & - alambd(ji,jj,1,2,1,2) * zs11_12 - alambd(ji,jj,1,2,2,2) * zs11_22 & |
---|
| 328 | & + alambd(ji,jj,2,1,1,1) * zs12_11 + alambd(ji,jj,2,1,2,1) * zs12_21 & |
---|
| 329 | & + alambd(ji,jj,2,1,1,2) * zs12_12 + alambd(ji,jj,2,1,2,2) * zs12_22 |
---|
[3] | 330 | |
---|
[888] | 331 | !* zc1v , zc2v. |
---|
[2528] | 332 | zvis11 = 2._wp * zviseta (ji-1,jj-1) + dm |
---|
| 333 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
---|
| 334 | zvis12 = zviseta (ji-1,jj-1) + dm |
---|
| 335 | zvis21 = zviseta (ji-1,jj-1) |
---|
[888] | 336 | zdiag = zvis22 * ( akappa(ji-1,jj-1,1,2) + akappa(ji-1,jj-1,2,2) ) |
---|
| 337 | zs11_11 = zvis11 * akappa(ji-1,jj-1,1,2) + zdiag |
---|
| 338 | zs12_11 = -zvis12 * akappa(ji-1,jj-1,2,1) + zvis21 * akappa(ji-1,jj-1,1,1) |
---|
| 339 | zs22_11 = zvis11 * akappa(ji-1,jj-1,2,2) + zdiag |
---|
| 340 | zs21_11 = zvis12 * akappa(ji-1,jj-1,1,1) - zvis21 * akappa(ji-1,jj-1,2,1) |
---|
[3] | 341 | |
---|
[2528] | 342 | zvis11 = 2._wp * zviseta (ji,jj-1) + dm |
---|
| 343 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
---|
| 344 | zvis12 = zviseta (ji,jj-1) + dm |
---|
| 345 | zvis21 = zviseta (ji,jj-1) |
---|
[888] | 346 | zdiag = zvis22 * ( akappa(ji,jj-1,1,2) + akappa(ji,jj-1,2,2) ) |
---|
| 347 | zs11_21 = zvis11 * akappa(ji,jj-1,1,2) + zdiag |
---|
| 348 | zs12_21 = -zvis12 * akappa(ji,jj-1,2,1) - zvis21 * akappa(ji,jj-1,1,1) |
---|
| 349 | zs22_21 = zvis11 * akappa(ji,jj-1,2,2) + zdiag |
---|
| 350 | zs21_21 = -zvis12 * akappa(ji,jj-1,1,1) - zvis21 * akappa(ji,jj-1,2,1) |
---|
[3] | 351 | |
---|
[2528] | 352 | zvis11 = 2._wp * zviseta (ji-1,jj) + dm |
---|
| 353 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
---|
| 354 | zvis12 = zviseta (ji-1,jj) + dm |
---|
| 355 | zvis21 = zviseta (ji-1,jj) |
---|
[888] | 356 | zdiag = zvis22 * ( akappa(ji-1,jj,1,2) - akappa(ji-1,jj,2,2) ) |
---|
| 357 | zs11_12 = zvis11 * akappa(ji-1,jj,1,2) + zdiag |
---|
| 358 | zs12_12 = -zvis12 * akappa(ji-1,jj,2,1) + zvis21 * akappa(ji-1,jj,1,1) |
---|
| 359 | zs22_12 = -zvis11 * akappa(ji-1,jj,2,2) + zdiag |
---|
| 360 | zs21_12 = zvis12 * akappa(ji-1,jj,1,1) - zvis21 * akappa(ji-1,jj,2,1) |
---|
[3] | 361 | |
---|
[2528] | 362 | zvis11 = 2._wp * zviseta (ji,jj) + dm |
---|
| 363 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
---|
| 364 | zvis12 = zviseta (ji,jj) + dm |
---|
| 365 | zvis21 = zviseta (ji,jj) |
---|
[888] | 366 | zdiag = zvis22 * ( akappa(ji,jj,1,2) - akappa(ji,jj,2,2) ) |
---|
| 367 | zs11_22 = zvis11 * akappa(ji,jj,1,2) + zdiag |
---|
| 368 | zs12_22 = -zvis12 * akappa(ji,jj,2,1) - zvis21 * akappa(ji,jj,1,1) |
---|
| 369 | zs22_22 = -zvis11 * akappa(ji,jj,2,2) + zdiag |
---|
| 370 | zs21_22 = -zvis12 * akappa(ji,jj,1,1) - zvis21 * akappa(ji,jj,2,1) |
---|
[3] | 371 | |
---|
[888] | 372 | zc1v(ji,jj) = + alambd(ji,jj,2,2,2,1) * zs11_21 + alambd(ji,jj,2,2,2,2) * zs11_22 & |
---|
| 373 | & - alambd(ji,jj,2,2,1,1) * zs11_11 - alambd(ji,jj,2,2,1,2) * zs11_12 & |
---|
| 374 | & - alambd(ji,jj,1,1,2,1) * zs12_21 - alambd(ji,jj,1,1,1,1) * zs12_11 & |
---|
| 375 | & + alambd(ji,jj,1,1,2,2) * zs12_22 + alambd(ji,jj,1,1,1,2) * zs12_12 & |
---|
| 376 | & + alambd(ji,jj,1,2,1,1) * zs21_11 + alambd(ji,jj,1,2,2,1) * zs21_21 & |
---|
| 377 | & + alambd(ji,jj,1,2,1,2) * zs21_12 + alambd(ji,jj,1,2,2,2) * zs21_22 & |
---|
| 378 | & - alambd(ji,jj,2,1,1,1) * zs22_11 - alambd(ji,jj,2,1,2,1) * zs22_21 & |
---|
| 379 | & - alambd(ji,jj,2,1,1,2) * zs22_12 - alambd(ji,jj,2,1,2,2) * zs22_22 |
---|
[3] | 380 | |
---|
[888] | 381 | zc2v(ji,jj) = + alambd(ji,jj,2,2,2,1) * zs21_21 + alambd(ji,jj,2,2,2,2) * zs21_22 & |
---|
| 382 | & - alambd(ji,jj,2,2,1,1) * zs21_11 - alambd(ji,jj,2,2,1,2) * zs21_12 & |
---|
| 383 | & - alambd(ji,jj,1,1,2,1) * zs22_21 - alambd(ji,jj,1,1,1,1) * zs22_11 & |
---|
| 384 | & + alambd(ji,jj,1,1,2,2) * zs22_22 + alambd(ji,jj,1,1,1,2) * zs22_12 & |
---|
| 385 | & - alambd(ji,jj,1,2,1,1) * zs11_11 - alambd(ji,jj,1,2,2,1) * zs11_21 & |
---|
| 386 | & - alambd(ji,jj,1,2,1,2) * zs11_12 - alambd(ji,jj,1,2,2,2) * zs11_22 & |
---|
| 387 | & + alambd(ji,jj,2,1,1,1) * zs12_11 + alambd(ji,jj,2,1,2,1) * zs12_21 & |
---|
| 388 | & + alambd(ji,jj,2,1,1,2) * zs12_12 + alambd(ji,jj,2,1,2,2) * zs12_22 |
---|
[3] | 389 | END DO |
---|
[888] | 390 | END DO |
---|
[3] | 391 | |
---|
[888] | 392 | ! GAUSS-SEIDEL method |
---|
| 393 | ! ! ================ ! |
---|
| 394 | iflag: DO jter = 1 , nbitdr ! Relaxation ! |
---|
| 395 | ! ! ================ ! |
---|
| 396 | !CDIR NOVERRCHK |
---|
[77] | 397 | DO jj = k_j1+1, k_jpj-1 |
---|
[888] | 398 | !CDIR NOVERRCHK |
---|
[1347] | 399 | DO ji = 2, fs_jpim1 ! NO vector opt. |
---|
[888] | 400 | ! |
---|
| 401 | ze11 = akappa(ji,jj-1,1,1) * zu_a(ji+1,jj) + akappa(ji,jj-1,1,2) * zv_a(ji+1,jj) |
---|
| 402 | ze12 = + akappa(ji,jj-1,2,2) * zu_a(ji+1,jj) - akappa(ji,jj-1,2,1) * zv_a(ji+1,jj) |
---|
| 403 | ze22 = + akappa(ji,jj-1,2,2) * zv_a(ji+1,jj) + akappa(ji,jj-1,2,1) * zu_a(ji+1,jj) |
---|
| 404 | ze21 = akappa(ji,jj-1,1,1) * zv_a(ji+1,jj) - akappa(ji,jj-1,1,2) * zu_a(ji+1,jj) |
---|
[2528] | 405 | zvis11 = 2._wp * zviseta (ji,jj-1) + dm |
---|
| 406 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
---|
| 407 | zvis12 = zviseta (ji,jj-1) + dm |
---|
| 408 | zvis21 = zviseta (ji,jj-1) |
---|
[3] | 409 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 410 | zs11_21 = zvis11 * ze11 + zdiag |
---|
| 411 | zs12_21 = zvis12 * ze12 + zvis21 * ze21 |
---|
| 412 | zs22_21 = zvis11 * ze22 + zdiag |
---|
| 413 | zs21_21 = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 414 | |
---|
[888] | 415 | ze11 = akappa(ji-1,jj,1,1) * ( zu_a(ji ,jj+1) - zu_a(ji-1,jj+1) ) & |
---|
| 416 | & + akappa(ji-1,jj,1,2) * ( zv_a(ji ,jj+1) + zv_a(ji-1,jj+1) ) |
---|
| 417 | ze12 = + akappa(ji-1,jj,2,2) * ( zu_a(ji-1,jj+1) + zu_a(ji ,jj+1) ) & |
---|
| 418 | & - akappa(ji-1,jj,2,1) * ( zv_a(ji-1,jj+1) + zv_a(ji ,jj+1) ) |
---|
| 419 | ze22 = + akappa(ji-1,jj,2,2) * ( zv_a(ji-1,jj+1) + zv_a(ji ,jj+1) ) & |
---|
| 420 | & + akappa(ji-1,jj,2,1) * ( zu_a(ji-1,jj+1) + zu_a(ji ,jj+1) ) |
---|
| 421 | ze21 = akappa(ji-1,jj,1,1) * ( zv_a(ji ,jj+1) - zv_a(ji-1,jj+1) ) & |
---|
| 422 | & - akappa(ji-1,jj,1,2) * ( zu_a(ji ,jj+1) + zu_a(ji-1,jj+1) ) |
---|
[2528] | 423 | zvis11 = 2._wp * zviseta (ji-1,jj) + dm |
---|
| 424 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
---|
| 425 | zvis12 = zviseta (ji-1,jj) + dm |
---|
| 426 | zvis21 = zviseta (ji-1,jj) |
---|
[3] | 427 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 428 | zs11_12 = zvis11 * ze11 + zdiag |
---|
| 429 | zs12_12 = zvis12 * ze12 + zvis21 * ze21 |
---|
| 430 | zs22_12 = zvis11 * ze22 + zdiag |
---|
| 431 | zs21_12 = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 432 | |
---|
[888] | 433 | ze11 = akappa(ji,jj,1,1) * ( zu_a(ji+1,jj) + zu_a(ji+1,jj+1) - zu_a(ji ,jj+1) ) & |
---|
| 434 | & + akappa(ji,jj,1,2) * ( zv_a(ji+1,jj) + zv_a(ji+1,jj+1) + zv_a(ji ,jj+1) ) |
---|
| 435 | ze12 = - akappa(ji,jj,2,2) * ( zu_a(ji+1,jj) - zu_a(ji ,jj+1) - zu_a(ji+1,jj+1) ) & |
---|
| 436 | & - akappa(ji,jj,2,1) * ( zv_a(ji+1,jj) + zv_a(ji ,jj+1) + zv_a(ji+1,jj+1) ) |
---|
| 437 | ze22 = - akappa(ji,jj,2,2) * ( zv_a(ji+1,jj) - zv_a(ji ,jj+1) - zv_a(ji+1,jj+1) ) & |
---|
| 438 | & + akappa(ji,jj,2,1) * ( zu_a(ji+1,jj) + zu_a(ji ,jj+1) + zu_a(ji+1,jj+1) ) |
---|
| 439 | ze21 = akappa(ji,jj,1,1) * ( zv_a(ji+1,jj) + zv_a(ji+1,jj+1) - zv_a(ji ,jj+1) ) & |
---|
| 440 | & - akappa(ji,jj,1,2) * ( zu_a(ji+1,jj) + zu_a(ji+1,jj+1) + zu_a(ji ,jj+1) ) |
---|
[2528] | 441 | zvis11 = 2._wp * zviseta (ji,jj) + dm |
---|
| 442 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
---|
| 443 | zvis12 = zviseta (ji,jj) + dm |
---|
| 444 | zvis21 = zviseta (ji,jj) |
---|
[3] | 445 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 446 | zs11_22 = zvis11 * ze11 + zdiag |
---|
| 447 | zs12_22 = zvis12 * ze12 + zvis21 * ze21 |
---|
| 448 | zs22_22 = zvis11 * ze22 + zdiag |
---|
| 449 | zs21_22 = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 450 | |
---|
[888] | 451 | ! 2nd part |
---|
| 452 | ze11 = akappa(ji-1,jj-1,1,1) * ( zu_a(ji ,jj-1) - zu_a(ji-1,jj-1) - zu_a(ji-1,jj) ) & |
---|
| 453 | & + akappa(ji-1,jj-1,1,2) * ( zv_a(ji ,jj-1) + zv_a(ji-1,jj-1) + zv_a(ji-1,jj) ) |
---|
| 454 | ze12 = - akappa(ji-1,jj-1,2,2) * ( zu_a(ji-1,jj-1) + zu_a(ji ,jj-1) - zu_a(ji-1,jj) ) & |
---|
| 455 | & - akappa(ji-1,jj-1,2,1) * ( zv_a(ji-1,jj-1) + zv_a(ji ,jj-1) + zv_a(ji-1,jj) ) |
---|
| 456 | ze22 = - akappa(ji-1,jj-1,2,2) * ( zv_a(ji-1,jj-1) + zv_a(ji ,jj-1) - zv_a(ji-1,jj) ) & |
---|
| 457 | & + akappa(ji-1,jj-1,2,1) * ( zu_a(ji-1,jj-1) + zu_a(ji ,jj-1) + zu_a(ji-1,jj) ) |
---|
| 458 | ze21 = akappa(ji-1,jj-1,1,1) * ( zv_a(ji ,jj-1) - zv_a(ji-1,jj-1) - zv_a(ji-1,jj) ) & |
---|
| 459 | & - akappa(ji-1,jj-1,1,2) * ( zu_a(ji ,jj-1) + zu_a(ji-1,jj-1) + zu_a(ji-1,jj) ) |
---|
[2528] | 460 | zvis11 = 2._wp * zviseta (ji-1,jj-1) + dm |
---|
| 461 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
---|
| 462 | zvis12 = zviseta (ji-1,jj-1) + dm |
---|
| 463 | zvis21 = zviseta (ji-1,jj-1) |
---|
[3] | 464 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 465 | zs11_11 = zvis11 * ze11 + zdiag |
---|
| 466 | zs12_11 = zvis12 * ze12 + zvis21 * ze21 |
---|
| 467 | zs22_11 = zvis11 * ze22 + zdiag |
---|
| 468 | zs21_11 = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 469 | |
---|
[888] | 470 | ze11 = akappa(ji,jj-1,1,1) * ( zu_a(ji+1,jj-1) - zu_a(ji ,jj-1) ) & |
---|
| 471 | & + akappa(ji,jj-1,1,2) * ( zv_a(ji+1,jj-1) + zv_a(ji ,jj-1) ) |
---|
| 472 | ze12 = - akappa(ji,jj-1,2,2) * ( zu_a(ji ,jj-1) + zu_a(ji+1,jj-1) ) & |
---|
| 473 | & - akappa(ji,jj-1,2,1) * ( zv_a(ji ,jj-1) + zv_a(ji+1,jj-1) ) |
---|
| 474 | ze22 = - akappa(ji,jj-1,2,2) * ( zv_a(ji ,jj-1) + zv_a(ji+1,jj-1) ) & |
---|
| 475 | & + akappa(ji,jj-1,2,1) * ( zu_a(ji ,jj-1) + zu_a(ji+1,jj-1) ) |
---|
| 476 | ze21 = akappa(ji,jj-1,1,1) * ( zv_a(ji+1,jj-1) - zv_a(ji ,jj-1) ) & |
---|
| 477 | & - akappa(ji,jj-1,1,2) * ( zu_a(ji+1,jj-1) + zu_a(ji ,jj-1) ) |
---|
[2528] | 478 | zvis11 = 2._wp * zviseta (ji,jj-1) + dm |
---|
| 479 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
---|
| 480 | zvis12 = zviseta (ji,jj-1) + dm |
---|
| 481 | zvis21 = zviseta (ji,jj-1) |
---|
[3] | 482 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 483 | zs11_21 = zs11_21 + zvis11 * ze11 + zdiag |
---|
| 484 | zs12_21 = zs12_21 + zvis12 * ze12 + zvis21 * ze21 |
---|
| 485 | zs22_21 = zs22_21 + zvis11 * ze22 + zdiag |
---|
| 486 | zs21_21 = zs21_21 + zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 487 | |
---|
[888] | 488 | ze11 = - akappa(ji-1,jj,1,1) * zu_a(ji-1,jj) + akappa(ji-1,jj,1,2) * zv_a(ji-1,jj) |
---|
| 489 | ze12 = - akappa(ji-1,jj,2,2) * zu_a(ji-1,jj) - akappa(ji-1,jj,2,1) * zv_a(ji-1,jj) |
---|
| 490 | ze22 = - akappa(ji-1,jj,2,2) * zv_a(ji-1,jj) + akappa(ji-1,jj,2,1) * zu_a(ji-1,jj) |
---|
| 491 | ze21 = - akappa(ji-1,jj,1,1) * zv_a(ji-1,jj) - akappa(ji-1,jj,1,2) * zu_a(ji-1,jj) |
---|
[2528] | 492 | zvis11 = 2._wp * zviseta (ji-1,jj) + dm |
---|
| 493 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
---|
| 494 | zvis12 = zviseta (ji-1,jj) + dm |
---|
| 495 | zvis21 = zviseta (ji-1,jj) |
---|
[3] | 496 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 497 | zs11_12 = zs11_12 + zvis11 * ze11 + zdiag |
---|
| 498 | zs12_12 = zs12_12 + zvis12 * ze12 + zvis21 * ze21 |
---|
| 499 | zs22_12 = zs22_12 + zvis11 * ze22 + zdiag |
---|
| 500 | zs21_12 = zs21_12 + zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 501 | |
---|
[888] | 502 | zd1 = + alambd(ji,jj,2,2,2,1) * zs11_21 + alambd(ji,jj,2,2,2,2) * zs11_22 & |
---|
| 503 | & - alambd(ji,jj,2,2,1,1) * zs11_11 - alambd(ji,jj,2,2,1,2) * zs11_12 & |
---|
| 504 | & - alambd(ji,jj,1,1,2,1) * zs12_21 - alambd(ji,jj,1,1,1,1) * zs12_11 & |
---|
| 505 | & + alambd(ji,jj,1,1,2,2) * zs12_22 + alambd(ji,jj,1,1,1,2) * zs12_12 & |
---|
| 506 | & + alambd(ji,jj,1,2,1,1) * zs21_11 + alambd(ji,jj,1,2,2,1) * zs21_21 & |
---|
| 507 | & + alambd(ji,jj,1,2,1,2) * zs21_12 + alambd(ji,jj,1,2,2,2) * zs21_22 & |
---|
| 508 | & - alambd(ji,jj,2,1,1,1) * zs22_11 - alambd(ji,jj,2,1,2,1) * zs22_21 & |
---|
| 509 | & - alambd(ji,jj,2,1,1,2) * zs22_12 - alambd(ji,jj,2,1,2,2) * zs22_22 |
---|
[3] | 510 | |
---|
[888] | 511 | zd2 = + alambd(ji,jj,2,2,2,1) * zs21_21 + alambd(ji,jj,2,2,2,2) * zs21_22 & |
---|
| 512 | & - alambd(ji,jj,2,2,1,1) * zs21_11 - alambd(ji,jj,2,2,1,2) * zs21_12 & |
---|
| 513 | & - alambd(ji,jj,1,1,2,1) * zs22_21 - alambd(ji,jj,1,1,1,1) * zs22_11 & |
---|
| 514 | & + alambd(ji,jj,1,1,2,2) * zs22_22 + alambd(ji,jj,1,1,1,2) * zs22_12 & |
---|
| 515 | & - alambd(ji,jj,1,2,1,1) * zs11_11 - alambd(ji,jj,1,2,2,1) * zs11_21 & |
---|
| 516 | & - alambd(ji,jj,1,2,1,2) * zs11_12 - alambd(ji,jj,1,2,2,2) * zs11_22 & |
---|
| 517 | & + alambd(ji,jj,2,1,1,1) * zs12_11 + alambd(ji,jj,2,1,2,1) * zs12_21 & |
---|
| 518 | & + alambd(ji,jj,2,1,1,2) * zs12_12 + alambd(ji,jj,2,1,2,2) * zs12_22 |
---|
[3] | 519 | |
---|
[1470] | 520 | zur = zu_a(ji,jj) - u_oce(ji,jj) |
---|
| 521 | zvr = zv_a(ji,jj) - v_oce(ji,jj) |
---|
[888] | 522 | !!!! |
---|
[2528] | 523 | zmod = SQRT( zur*zur + zvr*zvr ) * ( 1._wp - zfrld(ji,jj) ) |
---|
[888] | 524 | za = rhoco * zmod |
---|
| 525 | !!!! |
---|
[2528] | 526 | !!gm chg resul za = rhoco * SQRT( zur*zur + zvr*zvr ) * ( 1._wp - zfrld(ji,jj) ) |
---|
[888] | 527 | zac = za * cangvg |
---|
| 528 | zmpzas = alpha * zcorl(ji,jj) + za * zsang(ji,jj) |
---|
| 529 | zmassdt = zusdtp * zmass(ji,jj) |
---|
[2528] | 530 | zcorlal = ( 1._wp - alpha ) * zcorl(ji,jj) |
---|
[3] | 531 | |
---|
[888] | 532 | za1 = zmassdt * zu0(ji,jj) + zcorlal * zv0(ji,jj) + za1ct(ji,jj) & |
---|
[1470] | 533 | & + za * ( cangvg * u_oce(ji,jj) - zsang(ji,jj) * v_oce(ji,jj) ) |
---|
[888] | 534 | za2 = zmassdt * zv0(ji,jj) - zcorlal * zu0(ji,jj) + za2ct(ji,jj) & |
---|
[1470] | 535 | & + za * ( cangvg * v_oce(ji,jj) + zsang(ji,jj) * u_oce(ji,jj) ) |
---|
[888] | 536 | zb1 = zmassdt + zac - zc1u(ji,jj) |
---|
| 537 | zb2 = zmpzas - zc2u(ji,jj) |
---|
| 538 | zc1 = zmpzas + zc1v(ji,jj) |
---|
| 539 | zc2 = zmassdt + zac - zc2v(ji,jj) |
---|
| 540 | zdeter = zc1 * zb2 + zc2 * zb1 |
---|
| 541 | zden = SIGN( rone, zdeter) / MAX( epsd , ABS( zdeter ) ) |
---|
| 542 | zunw = ( ( za1 + zd1 ) * zc2 + ( za2 + zd2 ) * zc1 ) * zden |
---|
| 543 | zvnw = ( ( za2 + zd2 ) * zb1 - ( za1 + zd1 ) * zb2 ) * zden |
---|
[2528] | 544 | zmask = ( 1._wp - MAX( rzero, SIGN( rone , 1._wp - zmass(ji,jj) ) ) ) * tmu(ji,jj) |
---|
[3] | 545 | |
---|
[888] | 546 | zu_n(ji,jj) = ( zu_a(ji,jj) + om * ( zunw - zu_a(ji,jj) ) * tmu(ji,jj) ) * zmask |
---|
| 547 | zv_n(ji,jj) = ( zv_a(ji,jj) + om * ( zvnw - zv_a(ji,jj) ) * tmu(ji,jj) ) * zmask |
---|
[3] | 548 | END DO |
---|
| 549 | END DO |
---|
| 550 | |
---|
[888] | 551 | CALL lbc_lnk( zu_n(:,1:jpj), 'I', -1. ) |
---|
| 552 | CALL lbc_lnk( zv_n(:,1:jpj), 'I', -1. ) |
---|
[3] | 553 | |
---|
[888] | 554 | ! Test of Convergence |
---|
[77] | 555 | DO jj = k_j1+1 , k_jpj-1 |
---|
[888] | 556 | zresr(:,jj) = MAX( ABS( zu_a(:,jj) - zu_n(:,jj) ) , ABS( zv_a(:,jj) - zv_n(:,jj) ) ) |
---|
[3] | 557 | END DO |
---|
[888] | 558 | zresm = MAXVAL( zresr(1:jpi,k_j1+1:k_jpj-1) ) |
---|
| 559 | !!!! this should be faster on scalar processor |
---|
| 560 | ! zresm = MAXVAL( MAX( ABS( zu_a(1:jpi,k_j1+1:k_jpj-1) - zu_n(1:jpi,k_j1+1:k_jpj-1) ), & |
---|
| 561 | ! & ABS( zv_a(1:jpi,k_j1+1:k_jpj-1) - zv_n(1:jpi,k_j1+1:k_jpj-1) ) ) ) |
---|
| 562 | !!!! |
---|
[77] | 563 | IF( lk_mpp ) CALL mpp_max( zresm ) ! max over the global domain |
---|
[3] | 564 | |
---|
[888] | 565 | DO jj = k_j1, k_jpj |
---|
| 566 | zu_a(:,jj) = zu_n(:,jj) |
---|
| 567 | zv_a(:,jj) = zv_n(:,jj) |
---|
| 568 | END DO |
---|
[3] | 569 | |
---|
[888] | 570 | IF( zresm <= resl ) EXIT iflag |
---|
[3] | 571 | |
---|
[888] | 572 | ! ! ================ ! |
---|
| 573 | END DO iflag ! end Relaxation ! |
---|
| 574 | ! ! ================ ! |
---|
| 575 | |
---|
| 576 | IF( zindu == 0 ) THEN ! even iteration |
---|
| 577 | DO jj = k_j1 , k_jpj-1 |
---|
| 578 | zu0(:,jj) = zu_a(:,jj) |
---|
| 579 | zv0(:,jj) = zv_a(:,jj) |
---|
| 580 | END DO |
---|
| 581 | ENDIF |
---|
| 582 | ! ! ==================== ! |
---|
[3] | 583 | END DO ! end loop over iter ! |
---|
| 584 | ! ! ==================== ! |
---|
| 585 | |
---|
[1470] | 586 | u_ice(:,:) = zu_a(:,1:jpj) |
---|
| 587 | v_ice(:,:) = zv_a(:,1:jpj) |
---|
[888] | 588 | |
---|
[258] | 589 | IF(ln_ctl) THEN |
---|
| 590 | WRITE(charout,FMT="('lim_rhg : res =',D23.16, ' iter =',I4)") zresm, jter |
---|
| 591 | CALL prt_ctl_info(charout) |
---|
[1470] | 592 | CALL prt_ctl(tab2d_1=u_ice, clinfo1=' lim_rhg : u_ice :', tab2d_2=v_ice, clinfo2=' v_ice :') |
---|
[3] | 593 | ENDIF |
---|
| 594 | |
---|
[3294] | 595 | CALL wrk_dealloc( jpi,jpj, zfrld, zmass, zcorl, za1ct, za2ct, zresr ) |
---|
[3625] | 596 | CALL wrk_dealloc( jpi,jpj, zc1u , zc1v , zc2u , zc2v , zsang, zpice ) |
---|
[3294] | 597 | CALL wrk_dealloc( jpi,jpj+2, zu0, zv0, zu_n, zv_n, zu_a, zv_a, zviszeta, zviseta, kjstart = 0 ) |
---|
| 598 | CALL wrk_dealloc( jpi,jpj+2, zzfrld, zztms, zi1, zi2, zmasst, zpresh, kjstart = 0 ) |
---|
| 599 | |
---|
[821] | 600 | END SUBROUTINE lim_rhg_2 |
---|
[77] | 601 | |
---|
[3] | 602 | #else |
---|
[77] | 603 | !!---------------------------------------------------------------------- |
---|
[2528] | 604 | !! Default option Dummy module NO VP & LIM-2 sea-ice model |
---|
[77] | 605 | !!---------------------------------------------------------------------- |
---|
[3] | 606 | CONTAINS |
---|
[821] | 607 | SUBROUTINE lim_rhg_2( k1 , k2 ) ! Dummy routine |
---|
| 608 | WRITE(*,*) 'lim_rhg_2: You should not have seen this print! error?', k1, k2 |
---|
| 609 | END SUBROUTINE lim_rhg_2 |
---|
[3] | 610 | #endif |
---|
| 611 | |
---|
[77] | 612 | !!============================================================================== |
---|
[821] | 613 | END MODULE limrhg_2 |
---|