[825] | 1 | MODULE limitd_th |
---|
| 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE limitd_th *** |
---|
[3625] | 4 | !! LIM3 ice model : ice thickness distribution: Thermodynamics |
---|
[825] | 5 | !!====================================================================== |
---|
[2715] | 6 | !! History : - ! (W. H. Lipscomb and E.C. Hunke) CICE (c) original code |
---|
| 7 | !! 3.0 ! 2005-12 (M. Vancoppenolle) adaptation to LIM-3 |
---|
[4869] | 8 | !! - ! 2006-06 (M. Vancoppenolle) adaptation to include salt, age |
---|
[2715] | 9 | !! - ! 2007-04 (M. Vancoppenolle) Mass conservation checked |
---|
| 10 | !!---------------------------------------------------------------------- |
---|
[2528] | 11 | #if defined key_lim3 |
---|
[825] | 12 | !!---------------------------------------------------------------------- |
---|
[2528] | 13 | !! 'key_lim3' : LIM3 sea-ice model |
---|
| 14 | !!---------------------------------------------------------------------- |
---|
[2715] | 15 | !! lim_itd_th_rem : |
---|
| 16 | !! lim_itd_th_reb : |
---|
| 17 | !! lim_itd_fitline : |
---|
| 18 | !! lim_itd_shiftice : |
---|
[2528] | 19 | !!---------------------------------------------------------------------- |
---|
[4161] | 20 | USE dom_ice ! LIM-3 domain |
---|
| 21 | USE par_oce ! ocean parameters |
---|
| 22 | USE dom_oce ! ocean domain |
---|
| 23 | USE phycst ! physical constants (ocean directory) |
---|
| 24 | USE thd_ice ! LIM-3 thermodynamic variables |
---|
| 25 | USE ice ! LIM-3 variables |
---|
| 26 | USE limvar ! LIM-3 variables |
---|
| 27 | USE prtctl ! Print control |
---|
| 28 | USE in_out_manager ! I/O manager |
---|
| 29 | USE lib_mpp ! MPP library |
---|
| 30 | USE wrk_nemo ! work arrays |
---|
| 31 | USE lib_fortran ! to use key_nosignedzero |
---|
[5123] | 32 | USE limcons ! conservation tests |
---|
[921] | 33 | |
---|
[825] | 34 | IMPLICIT NONE |
---|
| 35 | PRIVATE |
---|
| 36 | |
---|
[2715] | 37 | PUBLIC lim_itd_th_rem |
---|
| 38 | PUBLIC lim_itd_th_reb |
---|
[825] | 39 | |
---|
| 40 | !!---------------------------------------------------------------------- |
---|
[4161] | 41 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2010) |
---|
[1156] | 42 | !! $Id$ |
---|
[2715] | 43 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
[825] | 44 | !!---------------------------------------------------------------------- |
---|
| 45 | CONTAINS |
---|
| 46 | |
---|
[4869] | 47 | SUBROUTINE lim_itd_th_rem( klbnd, kubnd, kt ) |
---|
[921] | 48 | !!------------------------------------------------------------------ |
---|
| 49 | !! *** ROUTINE lim_itd_th_rem *** |
---|
| 50 | !! |
---|
[2715] | 51 | !! ** Purpose : computes the redistribution of ice thickness |
---|
| 52 | !! after thermodynamic growth of ice thickness |
---|
| 53 | !! |
---|
[921] | 54 | !! ** Method : Linear remapping |
---|
| 55 | !! |
---|
[2715] | 56 | !! References : W.H. Lipscomb, JGR 2001 |
---|
[921] | 57 | !!------------------------------------------------------------------ |
---|
[2715] | 58 | INTEGER , INTENT (in) :: klbnd ! Start thickness category index point |
---|
| 59 | INTEGER , INTENT (in) :: kubnd ! End point on which the the computation is applied |
---|
| 60 | INTEGER , INTENT (in) :: kt ! Ocean time step |
---|
| 61 | ! |
---|
| 62 | INTEGER :: ji, jj, jl ! dummy loop index |
---|
[4161] | 63 | INTEGER :: ii, ij ! 2D corresponding indices to ji |
---|
| 64 | INTEGER :: nd ! local integer |
---|
[2715] | 65 | REAL(wp) :: zx1, zwk1, zdh0, zetamin, zdamax ! local scalars |
---|
[4161] | 66 | REAL(wp) :: zx2, zwk2, zda0, zetamax ! - - |
---|
[5123] | 67 | REAL(wp) :: zx3 |
---|
[2715] | 68 | CHARACTER (len = 15) :: fieldid |
---|
[825] | 69 | |
---|
[3294] | 70 | INTEGER , POINTER, DIMENSION(:,:,:) :: zdonor ! donor category index |
---|
[825] | 71 | |
---|
[3294] | 72 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zdhice ! ice thickness increment |
---|
| 73 | REAL(wp), POINTER, DIMENSION(:,:,:) :: g0 ! coefficients for fitting the line of the ITD |
---|
| 74 | REAL(wp), POINTER, DIMENSION(:,:,:) :: g1 ! coefficients for fitting the line of the ITD |
---|
| 75 | REAL(wp), POINTER, DIMENSION(:,:,:) :: hL ! left boundary for the ITD for each thickness |
---|
| 76 | REAL(wp), POINTER, DIMENSION(:,:,:) :: hR ! left boundary for the ITD for each thickness |
---|
[4872] | 77 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zht_i_b ! old ice thickness |
---|
[3294] | 78 | REAL(wp), POINTER, DIMENSION(:,:,:) :: dummy_es |
---|
| 79 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zdaice, zdvice ! local increment of ice area and volume |
---|
| 80 | REAL(wp), POINTER, DIMENSION(:) :: zvetamin, zvetamax ! maximum values for etas |
---|
| 81 | INTEGER , POINTER, DIMENSION(:) :: nind_i, nind_j ! compressed indices for i/j directions |
---|
| 82 | INTEGER :: nbrem ! number of cells with ice to transfer |
---|
| 83 | REAL(wp) :: zslope ! used to compute local thermodynamic "speeds" |
---|
| 84 | REAL(wp), POINTER, DIMENSION(:,:) :: zhb0, zhb1 ! category boundaries for thinnes categories |
---|
| 85 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories |
---|
| 86 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_s_init, vt_s_final ! snow volume summed over categories |
---|
| 87 | REAL(wp), POINTER, DIMENSION(:,:) :: et_i_init, et_i_final ! ice energy summed over categories |
---|
| 88 | REAL(wp), POINTER, DIMENSION(:,:) :: et_s_init, et_s_final ! snow energy summed over categories |
---|
| 89 | INTEGER , POINTER, DIMENSION(:,:) :: zremap_flag ! compute remapping or not ???? |
---|
| 90 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zhbnew ! new boundaries of ice categories |
---|
| 91 | !!------------------------------------------------------------------ |
---|
[825] | 92 | |
---|
[5407] | 93 | CALL wrk_alloc( jpi,jpj, zremap_flag ) |
---|
| 94 | CALL wrk_alloc( jpi,jpj,jpl-1, zdonor ) |
---|
[4872] | 95 | CALL wrk_alloc( jpi,jpj,jpl, zdhice, g0, g1, hL, hR, zht_i_b, dummy_es ) |
---|
[3294] | 96 | CALL wrk_alloc( jpi,jpj,jpl-1, zdaice, zdvice ) |
---|
| 97 | CALL wrk_alloc( jpi,jpj,jpl+1, zhbnew, kkstart = 0 ) |
---|
| 98 | CALL wrk_alloc( (jpi+1)*(jpj+1), zvetamin, zvetamax ) |
---|
[5407] | 99 | CALL wrk_alloc( (jpi+1)*(jpj+1), nind_i, nind_j ) |
---|
[3294] | 100 | CALL wrk_alloc( jpi,jpj, zhb0,zhb1,vt_i_init,vt_i_final,vt_s_init,vt_s_final,et_i_init,et_i_final,et_s_init,et_s_final ) |
---|
[825] | 101 | |
---|
[921] | 102 | !!---------------------------------------------------------------------------------------------- |
---|
| 103 | !! 0) Conservation checkand changes in each ice category |
---|
| 104 | !!---------------------------------------------------------------------------------------------- |
---|
[2715] | 105 | IF( con_i ) THEN |
---|
[825] | 106 | CALL lim_column_sum (jpl, v_i, vt_i_init) |
---|
| 107 | CALL lim_column_sum (jpl, v_s, vt_s_init) |
---|
| 108 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_init) |
---|
| 109 | dummy_es(:,:,:) = e_s(:,:,1,:) |
---|
| 110 | CALL lim_column_sum (jpl, dummy_es(:,:,:) , et_s_init) |
---|
| 111 | ENDIF |
---|
| 112 | |
---|
[921] | 113 | !!---------------------------------------------------------------------------------------------- |
---|
| 114 | !! 1) Compute thickness and changes in each ice category |
---|
| 115 | !!---------------------------------------------------------------------------------------------- |
---|
[2715] | 116 | IF( kt == nit000 .AND. lwp) THEN |
---|
[921] | 117 | WRITE(numout,*) |
---|
| 118 | WRITE(numout,*) 'lim_itd_th_rem : Remapping the ice thickness distribution' |
---|
| 119 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
---|
| 120 | WRITE(numout,*) ' klbnd : ', klbnd |
---|
| 121 | WRITE(numout,*) ' kubnd : ', kubnd |
---|
| 122 | ENDIF |
---|
[825] | 123 | |
---|
[2715] | 124 | zdhice(:,:,:) = 0._wp |
---|
[921] | 125 | DO jl = klbnd, kubnd |
---|
| 126 | DO jj = 1, jpj |
---|
| 127 | DO ji = 1, jpi |
---|
[5134] | 128 | rswitch = MAX( 0.0, SIGN( 1.0, a_i(ji,jj,jl) - epsi10 ) ) !0 if no ice and 1 if yes |
---|
[4990] | 129 | ht_i(ji,jj,jl) = v_i(ji,jj,jl) / MAX( a_i(ji,jj,jl), epsi10 ) * rswitch |
---|
[5407] | 130 | rswitch = MAX( 0.0, SIGN( 1.0, a_i_b(ji,jj,jl) - epsi10) ) |
---|
[4990] | 131 | zht_i_b(ji,jj,jl) = v_i_b(ji,jj,jl) / MAX( a_i_b(ji,jj,jl), epsi10 ) * rswitch |
---|
[5407] | 132 | IF( a_i(ji,jj,jl) > epsi10 ) zdhice(ji,jj,jl) = ht_i(ji,jj,jl) - zht_i_b(ji,jj,jl) ! clem: useless IF statement? |
---|
[921] | 133 | END DO |
---|
| 134 | END DO |
---|
| 135 | END DO |
---|
| 136 | |
---|
| 137 | !----------------------------------------------------------------------------------------------- |
---|
| 138 | ! 2) Compute fractional ice area in each grid cell |
---|
| 139 | !----------------------------------------------------------------------------------------------- |
---|
[2715] | 140 | at_i(:,:) = 0._wp |
---|
[825] | 141 | DO jl = klbnd, kubnd |
---|
[2715] | 142 | at_i(:,:) = at_i(:,:) + a_i(:,:,jl) |
---|
[825] | 143 | END DO |
---|
| 144 | |
---|
[921] | 145 | !----------------------------------------------------------------------------------------------- |
---|
| 146 | ! 3) Identify grid cells with ice |
---|
| 147 | !----------------------------------------------------------------------------------------------- |
---|
[825] | 148 | nbrem = 0 |
---|
| 149 | DO jj = 1, jpj |
---|
| 150 | DO ji = 1, jpi |
---|
[5123] | 151 | IF ( at_i(ji,jj) > epsi10 ) THEN |
---|
[825] | 152 | nbrem = nbrem + 1 |
---|
| 153 | nind_i(nbrem) = ji |
---|
| 154 | nind_j(nbrem) = jj |
---|
[3294] | 155 | zremap_flag(ji,jj) = 1 |
---|
[825] | 156 | ELSE |
---|
[3294] | 157 | zremap_flag(ji,jj) = 0 |
---|
[825] | 158 | ENDIF |
---|
[5123] | 159 | END DO |
---|
| 160 | END DO |
---|
[825] | 161 | |
---|
[921] | 162 | !----------------------------------------------------------------------------------------------- |
---|
| 163 | ! 4) Compute new category boundaries |
---|
| 164 | !----------------------------------------------------------------------------------------------- |
---|
[825] | 165 | !- 4.1 Compute category boundaries |
---|
[2715] | 166 | zhbnew(:,:,:) = 0._wp |
---|
[825] | 167 | |
---|
| 168 | DO jl = klbnd, kubnd - 1 |
---|
| 169 | DO ji = 1, nbrem |
---|
[4161] | 170 | ii = nind_i(ji) |
---|
| 171 | ij = nind_j(ji) |
---|
[825] | 172 | ! |
---|
[4688] | 173 | zhbnew(ii,ij,jl) = hi_max(jl) |
---|
[5407] | 174 | IF ( a_i_b(ii,ij,jl) > epsi10 .AND. a_i_b(ii,ij,jl+1) > epsi10 ) THEN |
---|
[825] | 175 | !interpolate between adjacent category growth rates |
---|
[4872] | 176 | zslope = ( zdhice(ii,ij,jl+1) - zdhice(ii,ij,jl) ) / ( zht_i_b(ii,ij,jl+1) - zht_i_b(ii,ij,jl) ) |
---|
| 177 | zhbnew(ii,ij,jl) = hi_max(jl) + zdhice(ii,ij,jl) + zslope * ( hi_max(jl) - zht_i_b(ii,ij,jl) ) |
---|
[5407] | 178 | ELSEIF( a_i_b(ii,ij,jl) > epsi10) THEN |
---|
[4161] | 179 | zhbnew(ii,ij,jl) = hi_max(jl) + zdhice(ii,ij,jl) |
---|
[5407] | 180 | ELSEIF( a_i_b(ii,ij,jl+1) > epsi10) THEN |
---|
[4161] | 181 | zhbnew(ii,ij,jl) = hi_max(jl) + zdhice(ii,ij,jl+1) |
---|
[825] | 182 | ENDIF |
---|
[2715] | 183 | END DO |
---|
[825] | 184 | |
---|
[921] | 185 | !- 4.2 Check that each zhbnew lies between adjacent values of ice thickness |
---|
[825] | 186 | DO ji = 1, nbrem |
---|
[4161] | 187 | ii = nind_i(ji) |
---|
| 188 | ij = nind_j(ji) |
---|
[5407] | 189 | |
---|
| 190 | ! clem: we do not want ht_i to be too close to either HR or HL otherwise a division by nearly 0 is possible |
---|
| 191 | ! in lim_itd_fitline in the case (HR-HL) = 3(Hice - HL) or = 3(HR - Hice) |
---|
| 192 | IF ( a_i(ii,ij,jl ) > epsi10 .AND. ht_i(ii,ij,jl ) > ( zhbnew(ii,ij,jl) - epsi10 ) ) THEN |
---|
[4161] | 193 | zremap_flag(ii,ij) = 0 |
---|
[5407] | 194 | ELSEIF( a_i(ii,ij,jl+1) > epsi10 .AND. ht_i(ii,ij,jl+1) < ( zhbnew(ii,ij,jl) + epsi10 ) ) THEN |
---|
[4161] | 195 | zremap_flag(ii,ij) = 0 |
---|
[825] | 196 | ENDIF |
---|
| 197 | |
---|
[921] | 198 | !- 4.3 Check that each zhbnew does not exceed maximal values hi_max |
---|
[5407] | 199 | IF( zhbnew(ii,ij,jl) < hi_max(jl-1) ) zremap_flag(ii,ij) = 0 |
---|
[4688] | 200 | IF( zhbnew(ii,ij,jl) > hi_max(jl+1) ) zremap_flag(ii,ij) = 0 |
---|
[5407] | 201 | ! clem bug: why is not the following instead? |
---|
| 202 | !!IF( zhbnew(ii,ij,jl) < hi_max(jl-1) ) zremap_flag(ii,ij) = 0 |
---|
| 203 | !!IF( zhbnew(ii,ij,jl) > hi_max(jl ) ) zremap_flag(ii,ij) = 0 |
---|
| 204 | |
---|
[4688] | 205 | END DO |
---|
| 206 | |
---|
[5123] | 207 | END DO |
---|
[825] | 208 | |
---|
[921] | 209 | !----------------------------------------------------------------------------------------------- |
---|
| 210 | ! 5) Identify cells where ITD is to be remapped |
---|
| 211 | !----------------------------------------------------------------------------------------------- |
---|
| 212 | nbrem = 0 |
---|
| 213 | DO jj = 1, jpj |
---|
| 214 | DO ji = 1, jpi |
---|
[4688] | 215 | IF( zremap_flag(ji,jj) == 1 ) THEN |
---|
[921] | 216 | nbrem = nbrem + 1 |
---|
| 217 | nind_i(nbrem) = ji |
---|
| 218 | nind_j(nbrem) = jj |
---|
| 219 | ENDIF |
---|
[4688] | 220 | END DO |
---|
| 221 | END DO |
---|
[825] | 222 | |
---|
[921] | 223 | !----------------------------------------------------------------------------------------------- |
---|
| 224 | ! 6) Fill arrays with lowermost / uppermost boundaries of 'new' categories |
---|
| 225 | !----------------------------------------------------------------------------------------------- |
---|
| 226 | DO jj = 1, jpj |
---|
| 227 | DO ji = 1, jpi |
---|
[5407] | 228 | zhb0(ji,jj) = hi_max(0) |
---|
| 229 | zhb1(ji,jj) = hi_max(1) |
---|
[825] | 230 | |
---|
[2715] | 231 | IF( a_i(ji,jj,kubnd) > epsi10 ) THEN |
---|
[5134] | 232 | zhbnew(ji,jj,kubnd) = MAX( hi_max(kubnd-1), 3._wp * ht_i(ji,jj,kubnd) - 2._wp * zhbnew(ji,jj,kubnd-1) ) |
---|
[921] | 233 | ELSE |
---|
[5407] | 234 | !clem bug zhbnew(ji,jj,kubnd) = hi_max(kubnd) |
---|
| 235 | zhbnew(ji,jj,kubnd) = hi_max(kubnd-1) ! not used anyway |
---|
[921] | 236 | ENDIF |
---|
[825] | 237 | |
---|
[5407] | 238 | ! clem: we do not want ht_i_b to be too close to either HR or HL otherwise a division by nearly 0 is possible |
---|
| 239 | ! in lim_itd_fitline in the case (HR-HL) = 3(Hice - HL) or = 3(HR - Hice) |
---|
| 240 | IF ( zht_i_b(ji,jj,klbnd) < ( zhb0(ji,jj) + epsi10 ) ) THEN |
---|
| 241 | zremap_flag(ji,jj) = 0 |
---|
| 242 | ELSEIF( zht_i_b(ji,jj,klbnd) > ( zhb1(ji,jj) - epsi10 ) ) THEN |
---|
| 243 | zremap_flag(ji,jj) = 0 |
---|
| 244 | ENDIF |
---|
| 245 | |
---|
[5134] | 246 | END DO |
---|
| 247 | END DO |
---|
[825] | 248 | |
---|
[921] | 249 | !----------------------------------------------------------------------------------------------- |
---|
| 250 | ! 7) Compute g(h) |
---|
| 251 | !----------------------------------------------------------------------------------------------- |
---|
| 252 | !- 7.1 g(h) for category 1 at start of time step |
---|
[5123] | 253 | CALL lim_itd_fitline( klbnd, zhb0, zhb1, zht_i_b(:,:,klbnd), g0(:,:,klbnd), g1(:,:,klbnd), hL(:,:,klbnd), & |
---|
[2715] | 254 | & hR(:,:,klbnd), zremap_flag ) |
---|
[825] | 255 | |
---|
[921] | 256 | !- 7.2 Area lost due to melting of thin ice (first category, klbnd) |
---|
| 257 | DO ji = 1, nbrem |
---|
[4161] | 258 | ii = nind_i(ji) |
---|
| 259 | ij = nind_j(ji) |
---|
[825] | 260 | |
---|
[5123] | 261 | IF( a_i(ii,ij,klbnd) > epsi10 ) THEN |
---|
[5407] | 262 | |
---|
[4161] | 263 | zdh0 = zdhice(ii,ij,klbnd) !decrease of ice thickness in the lower category |
---|
[5407] | 264 | |
---|
| 265 | IF( zdh0 < 0.0 ) THEN !remove area from category 1 |
---|
[5123] | 266 | zdh0 = MIN( -zdh0, hi_max(klbnd) ) |
---|
[921] | 267 | !Integrate g(1) from 0 to dh0 to estimate area melted |
---|
[5123] | 268 | zetamax = MIN( zdh0, hR(ii,ij,klbnd) ) - hL(ii,ij,klbnd) |
---|
[5407] | 269 | |
---|
[5123] | 270 | IF( zetamax > 0.0 ) THEN |
---|
[5407] | 271 | zx1 = zetamax |
---|
| 272 | zx2 = 0.5 * zetamax * zetamax |
---|
| 273 | zda0 = g1(ii,ij,klbnd) * zx2 + g0(ii,ij,klbnd) * zx1 ! ice area removed |
---|
| 274 | zdamax = a_i(ii,ij,klbnd) * (1.0 - ht_i(ii,ij,klbnd) / zht_i_b(ii,ij,klbnd) ) ! Constrain new thickness <= ht_i |
---|
| 275 | zda0 = MIN( zda0, zdamax ) ! ice area lost due to melting |
---|
| 276 | ! of thin ice (zdamax > 0) |
---|
[921] | 277 | ! Remove area, conserving volume |
---|
[5123] | 278 | ht_i(ii,ij,klbnd) = ht_i(ii,ij,klbnd) * a_i(ii,ij,klbnd) / ( a_i(ii,ij,klbnd) - zda0 ) |
---|
[4161] | 279 | a_i(ii,ij,klbnd) = a_i(ii,ij,klbnd) - zda0 |
---|
[5123] | 280 | v_i(ii,ij,klbnd) = a_i(ii,ij,klbnd) * ht_i(ii,ij,klbnd) ! clem-useless ? |
---|
| 281 | ENDIF |
---|
[825] | 282 | |
---|
[5407] | 283 | ELSE ! if ice accretion zdh0 > 0 |
---|
| 284 | ! zhbnew was 0, and is shifted to the right to account for thin ice growth in openwater (F0 = f1) |
---|
[5123] | 285 | zhbnew(ii,ij,klbnd-1) = MIN( zdh0, hi_max(klbnd) ) |
---|
[5407] | 286 | ENDIF |
---|
[825] | 287 | |
---|
[5407] | 288 | ENDIF |
---|
[825] | 289 | |
---|
[5134] | 290 | END DO |
---|
[825] | 291 | |
---|
[921] | 292 | !- 7.3 g(h) for each thickness category |
---|
| 293 | DO jl = klbnd, kubnd |
---|
[5123] | 294 | CALL lim_itd_fitline( jl, zhbnew(:,:,jl-1), zhbnew(:,:,jl), ht_i(:,:,jl), & |
---|
| 295 | & g0(:,:,jl), g1(:,:,jl), hL(:,:,jl), hR(:,:,jl), zremap_flag ) |
---|
[921] | 296 | END DO |
---|
[825] | 297 | |
---|
[921] | 298 | !----------------------------------------------------------------------------------------------- |
---|
| 299 | ! 8) Compute area and volume to be shifted across each boundary |
---|
| 300 | !----------------------------------------------------------------------------------------------- |
---|
[825] | 301 | |
---|
[921] | 302 | DO jl = klbnd, kubnd - 1 |
---|
| 303 | DO jj = 1, jpj |
---|
| 304 | DO ji = 1, jpi |
---|
| 305 | zdonor(ji,jj,jl) = 0 |
---|
| 306 | zdaice(ji,jj,jl) = 0.0 |
---|
| 307 | zdvice(ji,jj,jl) = 0.0 |
---|
| 308 | END DO |
---|
| 309 | END DO |
---|
[825] | 310 | |
---|
[921] | 311 | DO ji = 1, nbrem |
---|
[4161] | 312 | ii = nind_i(ji) |
---|
| 313 | ij = nind_j(ji) |
---|
[825] | 314 | |
---|
[5123] | 315 | IF (zhbnew(ii,ij,jl) > hi_max(jl)) THEN ! transfer from jl to jl+1 |
---|
[921] | 316 | ! left and right integration limits in eta space |
---|
[5123] | 317 | zvetamin(ji) = MAX( hi_max(jl), hL(ii,ij,jl) ) - hL(ii,ij,jl) |
---|
[5407] | 318 | zvetamax(ji) = MIN( zhbnew(ii,ij,jl), hR(ii,ij,jl) ) - hL(ii,ij,jl) |
---|
[4161] | 319 | zdonor(ii,ij,jl) = jl |
---|
[825] | 320 | |
---|
[5407] | 321 | ELSE ! zhbnew(jl) <= hi_max(jl) ; transfer from jl+1 to jl |
---|
[921] | 322 | ! left and right integration limits in eta space |
---|
| 323 | zvetamin(ji) = 0.0 |
---|
[5123] | 324 | zvetamax(ji) = MIN( hi_max(jl), hR(ii,ij,jl+1) ) - hL(ii,ij,jl+1) |
---|
[4161] | 325 | zdonor(ii,ij,jl) = jl + 1 |
---|
[825] | 326 | |
---|
[5407] | 327 | ENDIF |
---|
[825] | 328 | |
---|
[5123] | 329 | zetamax = MAX( zvetamax(ji), zvetamin(ji) ) ! no transfer if etamax < etamin |
---|
[921] | 330 | zetamin = zvetamin(ji) |
---|
[825] | 331 | |
---|
[921] | 332 | zx1 = zetamax - zetamin |
---|
[5123] | 333 | zwk1 = zetamin * zetamin |
---|
| 334 | zwk2 = zetamax * zetamax |
---|
| 335 | zx2 = 0.5 * ( zwk2 - zwk1 ) |
---|
[921] | 336 | zwk1 = zwk1 * zetamin |
---|
| 337 | zwk2 = zwk2 * zetamax |
---|
[5123] | 338 | zx3 = 1.0 / 3.0 * ( zwk2 - zwk1 ) |
---|
[4161] | 339 | nd = zdonor(ii,ij,jl) |
---|
| 340 | zdaice(ii,ij,jl) = g1(ii,ij,nd)*zx2 + g0(ii,ij,nd)*zx1 |
---|
[4688] | 341 | zdvice(ii,ij,jl) = g1(ii,ij,nd)*zx3 + g0(ii,ij,nd)*zx2 + zdaice(ii,ij,jl)*hL(ii,ij,nd) |
---|
[921] | 342 | |
---|
[5123] | 343 | END DO |
---|
[5407] | 344 | END DO |
---|
[921] | 345 | |
---|
| 346 | !!---------------------------------------------------------------------------------------------- |
---|
| 347 | !! 9) Shift ice between categories |
---|
| 348 | !!---------------------------------------------------------------------------------------------- |
---|
| 349 | CALL lim_itd_shiftice ( klbnd, kubnd, zdonor, zdaice, zdvice ) |
---|
| 350 | |
---|
| 351 | !!---------------------------------------------------------------------------------------------- |
---|
| 352 | !! 10) Make sure ht_i >= minimum ice thickness hi_min |
---|
| 353 | !!---------------------------------------------------------------------------------------------- |
---|
| 354 | |
---|
| 355 | DO ji = 1, nbrem |
---|
[4161] | 356 | ii = nind_i(ji) |
---|
| 357 | ij = nind_j(ji) |
---|
[5123] | 358 | IF ( a_i(ii,ij,1) > epsi10 .AND. ht_i(ii,ij,1) < rn_himin ) THEN |
---|
[5134] | 359 | a_i (ii,ij,1) = a_i(ii,ij,1) * ht_i(ii,ij,1) / rn_himin |
---|
[5123] | 360 | ht_i(ii,ij,1) = rn_himin |
---|
[921] | 361 | ENDIF |
---|
[5123] | 362 | END DO |
---|
[921] | 363 | |
---|
| 364 | !!---------------------------------------------------------------------------------------------- |
---|
| 365 | !! 11) Conservation check |
---|
| 366 | !!---------------------------------------------------------------------------------------------- |
---|
[825] | 367 | IF ( con_i ) THEN |
---|
| 368 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
---|
| 369 | fieldid = ' v_i : limitd_th ' |
---|
| 370 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
| 371 | |
---|
| 372 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_final) |
---|
| 373 | fieldid = ' e_i : limitd_th ' |
---|
| 374 | CALL lim_cons_check (et_i_init, et_i_final, 1.0e-3, fieldid) |
---|
| 375 | |
---|
| 376 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
---|
| 377 | fieldid = ' v_s : limitd_th ' |
---|
| 378 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
---|
| 379 | |
---|
| 380 | dummy_es(:,:,:) = e_s(:,:,1,:) |
---|
| 381 | CALL lim_column_sum (jpl, dummy_es(:,:,:) , et_s_final) |
---|
| 382 | fieldid = ' e_s : limitd_th ' |
---|
| 383 | CALL lim_cons_check (et_s_init, et_s_final, 1.0e-3, fieldid) |
---|
| 384 | ENDIF |
---|
| 385 | |
---|
[5407] | 386 | CALL wrk_dealloc( jpi,jpj, zremap_flag ) |
---|
| 387 | CALL wrk_dealloc( jpi,jpj,jpl-1, zdonor ) |
---|
[4872] | 388 | CALL wrk_dealloc( jpi,jpj,jpl, zdhice, g0, g1, hL, hR, zht_i_b, dummy_es ) |
---|
[3294] | 389 | CALL wrk_dealloc( jpi,jpj,jpl-1, zdaice, zdvice ) |
---|
| 390 | CALL wrk_dealloc( jpi,jpj,jpl+1, zhbnew, kkstart = 0 ) |
---|
| 391 | CALL wrk_dealloc( (jpi+1)*(jpj+1), zvetamin, zvetamax ) |
---|
[5407] | 392 | CALL wrk_dealloc( (jpi+1)*(jpj+1), nind_i, nind_j ) |
---|
[3294] | 393 | CALL wrk_dealloc( jpi,jpj, zhb0,zhb1,vt_i_init,vt_i_final,vt_s_init,vt_s_final,et_i_init,et_i_final,et_s_init,et_s_final ) |
---|
| 394 | |
---|
[921] | 395 | END SUBROUTINE lim_itd_th_rem |
---|
[825] | 396 | |
---|
| 397 | |
---|
[5123] | 398 | SUBROUTINE lim_itd_fitline( num_cat, HbL, Hbr, hice, g0, g1, hL, hR, zremap_flag ) |
---|
[921] | 399 | !!------------------------------------------------------------------ |
---|
| 400 | !! *** ROUTINE lim_itd_fitline *** |
---|
| 401 | !! |
---|
[2715] | 402 | !! ** Purpose : fit g(h) with a line using area, volume constraints |
---|
[921] | 403 | !! |
---|
[2715] | 404 | !! ** Method : Fit g(h) with a line, satisfying area and volume constraints. |
---|
| 405 | !! To reduce roundoff errors caused by large values of g0 and g1, |
---|
| 406 | !! we actually compute g(eta), where eta = h - hL, and hL is the |
---|
| 407 | !! left boundary. |
---|
[921] | 408 | !!------------------------------------------------------------------ |
---|
[2715] | 409 | INTEGER , INTENT(in ) :: num_cat ! category index |
---|
| 410 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: HbL, HbR ! left and right category boundaries |
---|
| 411 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: hice ! ice thickness |
---|
| 412 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: g0, g1 ! coefficients in linear equation for g(eta) |
---|
| 413 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: hL ! min value of range over which g(h) > 0 |
---|
| 414 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: hR ! max value of range over which g(h) > 0 |
---|
[3294] | 415 | INTEGER , DIMENSION(jpi,jpj), INTENT(in ) :: zremap_flag ! |
---|
[2715] | 416 | ! |
---|
[5407] | 417 | INTEGER :: ji,jj ! horizontal indices |
---|
[2715] | 418 | REAL(wp) :: zh13 ! HbL + 1/3 * (HbR - HbL) |
---|
| 419 | REAL(wp) :: zh23 ! HbL + 2/3 * (HbR - HbL) |
---|
| 420 | REAL(wp) :: zdhr ! 1 / (hR - hL) |
---|
| 421 | REAL(wp) :: zwk1, zwk2 ! temporary variables |
---|
| 422 | !!------------------------------------------------------------------ |
---|
| 423 | ! |
---|
[825] | 424 | DO jj = 1, jpj |
---|
| 425 | DO ji = 1, jpi |
---|
[2715] | 426 | ! |
---|
[4333] | 427 | IF( zremap_flag(ji,jj) == 1 .AND. a_i(ji,jj,num_cat) > epsi10 & |
---|
[5407] | 428 | & .AND. hice(ji,jj) > 0._wp ) THEN |
---|
[825] | 429 | |
---|
[921] | 430 | ! Initialize hL and hR |
---|
[825] | 431 | hL(ji,jj) = HbL(ji,jj) |
---|
| 432 | hR(ji,jj) = HbR(ji,jj) |
---|
| 433 | |
---|
[921] | 434 | ! Change hL or hR if hice falls outside central third of range |
---|
[5123] | 435 | zh13 = 1.0 / 3.0 * ( 2.0 * hL(ji,jj) + hR(ji,jj) ) |
---|
| 436 | zh23 = 1.0 / 3.0 * ( hL(ji,jj) + 2.0 * hR(ji,jj) ) |
---|
[825] | 437 | |
---|
[2715] | 438 | IF ( hice(ji,jj) < zh13 ) THEN ; hR(ji,jj) = 3._wp * hice(ji,jj) - 2._wp * hL(ji,jj) |
---|
| 439 | ELSEIF( hice(ji,jj) > zh23 ) THEN ; hL(ji,jj) = 3._wp * hice(ji,jj) - 2._wp * hR(ji,jj) |
---|
[825] | 440 | ENDIF |
---|
| 441 | |
---|
[921] | 442 | ! Compute coefficients of g(eta) = g0 + g1*eta |
---|
[2715] | 443 | zdhr = 1._wp / (hR(ji,jj) - hL(ji,jj)) |
---|
| 444 | zwk1 = 6._wp * a_i(ji,jj,num_cat) * zdhr |
---|
| 445 | zwk2 = ( hice(ji,jj) - hL(ji,jj) ) * zdhr |
---|
[5123] | 446 | g0(ji,jj) = zwk1 * ( 2._wp / 3._wp - zwk2 ) |
---|
| 447 | g1(ji,jj) = 2._wp * zdhr * zwk1 * ( zwk2 - 0.5 ) |
---|
[2715] | 448 | ! |
---|
[5407] | 449 | ELSE ! remap_flag = .false. or a_i < epsi10 |
---|
[2715] | 450 | hL(ji,jj) = 0._wp |
---|
| 451 | hR(ji,jj) = 0._wp |
---|
| 452 | g0(ji,jj) = 0._wp |
---|
| 453 | g1(ji,jj) = 0._wp |
---|
[5407] | 454 | ENDIF |
---|
[2715] | 455 | ! |
---|
| 456 | END DO |
---|
| 457 | END DO |
---|
| 458 | ! |
---|
| 459 | END SUBROUTINE lim_itd_fitline |
---|
[825] | 460 | |
---|
| 461 | |
---|
[2715] | 462 | SUBROUTINE lim_itd_shiftice( klbnd, kubnd, zdonor, zdaice, zdvice ) |
---|
[921] | 463 | !!------------------------------------------------------------------ |
---|
| 464 | !! *** ROUTINE lim_itd_shiftice *** |
---|
[2715] | 465 | !! |
---|
| 466 | !! ** Purpose : shift ice across category boundaries, conserving everything |
---|
[921] | 467 | !! ( area, volume, energy, age*vol, and mass of salt ) |
---|
| 468 | !! |
---|
| 469 | !! ** Method : |
---|
| 470 | !!------------------------------------------------------------------ |
---|
[3294] | 471 | INTEGER , INTENT(in ) :: klbnd ! Start thickness category index point |
---|
| 472 | INTEGER , INTENT(in ) :: kubnd ! End point on which the the computation is applied |
---|
[2715] | 473 | INTEGER , DIMENSION(jpi,jpj,jpl-1), INTENT(in ) :: zdonor ! donor category index |
---|
| 474 | REAL(wp), DIMENSION(jpi,jpj,jpl-1), INTENT(inout) :: zdaice ! ice area transferred across boundary |
---|
| 475 | REAL(wp), DIMENSION(jpi,jpj,jpl-1), INTENT(inout) :: zdvice ! ice volume transferred across boundary |
---|
[825] | 476 | |
---|
[2715] | 477 | INTEGER :: ji, jj, jl, jl2, jl1, jk ! dummy loop indices |
---|
[5407] | 478 | INTEGER :: ii, ij ! indices when changing from 2D-1D is done |
---|
[825] | 479 | |
---|
[3294] | 480 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zaTsfn |
---|
| 481 | REAL(wp), POINTER, DIMENSION(:,:) :: zworka ! temporary array used here |
---|
[825] | 482 | |
---|
[2715] | 483 | REAL(wp) :: zdvsnow, zdesnow ! snow volume and energy transferred |
---|
| 484 | REAL(wp) :: zdeice ! ice energy transferred |
---|
| 485 | REAL(wp) :: zdsm_vice ! ice salinity times volume transferred |
---|
| 486 | REAL(wp) :: zdo_aice ! ice age times volume transferred |
---|
| 487 | REAL(wp) :: zdaTsf ! aicen*Tsfcn transferred |
---|
[825] | 488 | |
---|
[3294] | 489 | INTEGER, POINTER, DIMENSION(:) :: nind_i, nind_j ! compressed indices for i/j directions |
---|
[825] | 490 | |
---|
[5407] | 491 | INTEGER :: nbrem ! number of cells with ice to transfer |
---|
[2715] | 492 | !!------------------------------------------------------------------ |
---|
[825] | 493 | |
---|
[3294] | 494 | CALL wrk_alloc( jpi,jpj,jpl, zaTsfn ) |
---|
| 495 | CALL wrk_alloc( jpi,jpj, zworka ) |
---|
[5407] | 496 | CALL wrk_alloc( (jpi+1)*(jpj+1), nind_i, nind_j ) |
---|
[3294] | 497 | |
---|
[921] | 498 | !---------------------------------------------------------------------------------------------- |
---|
| 499 | ! 1) Define a variable equal to a_i*T_su |
---|
| 500 | !---------------------------------------------------------------------------------------------- |
---|
[825] | 501 | |
---|
| 502 | DO jl = klbnd, kubnd |
---|
[5123] | 503 | zaTsfn(:,:,jl) = a_i(:,:,jl) * t_su(:,:,jl) |
---|
[2715] | 504 | END DO |
---|
[825] | 505 | |
---|
[921] | 506 | !------------------------------------------------------------------------------- |
---|
[5407] | 507 | ! 2) Transfer volume and energy between categories |
---|
[921] | 508 | !------------------------------------------------------------------------------- |
---|
[825] | 509 | |
---|
| 510 | DO jl = klbnd, kubnd - 1 |
---|
| 511 | nbrem = 0 |
---|
| 512 | DO jj = 1, jpj |
---|
| 513 | DO ji = 1, jpi |
---|
[5123] | 514 | IF (zdaice(ji,jj,jl) > 0.0 ) THEN ! daice(n) can be < puny |
---|
[825] | 515 | nbrem = nbrem + 1 |
---|
| 516 | nind_i(nbrem) = ji |
---|
| 517 | nind_j(nbrem) = jj |
---|
[5123] | 518 | ENDIF |
---|
[825] | 519 | END DO |
---|
| 520 | END DO |
---|
| 521 | |
---|
| 522 | DO ji = 1, nbrem |
---|
[4161] | 523 | ii = nind_i(ji) |
---|
| 524 | ij = nind_j(ji) |
---|
[825] | 525 | |
---|
[4161] | 526 | jl1 = zdonor(ii,ij,jl) |
---|
[5407] | 527 | rswitch = MAX( 0._wp , SIGN( 1._wp , v_i(ii,ij,jl1) - epsi10 ) ) |
---|
| 528 | zworka(ii,ij) = zdvice(ii,ij,jl) / MAX( v_i(ii,ij,jl1), epsi10 ) * rswitch |
---|
[2715] | 529 | IF( jl1 == jl) THEN ; jl2 = jl1+1 |
---|
[5123] | 530 | ELSE ; jl2 = jl |
---|
[825] | 531 | ENDIF |
---|
| 532 | |
---|
| 533 | !-------------- |
---|
| 534 | ! Ice areas |
---|
| 535 | !-------------- |
---|
[4161] | 536 | a_i(ii,ij,jl1) = a_i(ii,ij,jl1) - zdaice(ii,ij,jl) |
---|
| 537 | a_i(ii,ij,jl2) = a_i(ii,ij,jl2) + zdaice(ii,ij,jl) |
---|
[825] | 538 | |
---|
| 539 | !-------------- |
---|
| 540 | ! Ice volumes |
---|
| 541 | !-------------- |
---|
[4161] | 542 | v_i(ii,ij,jl1) = v_i(ii,ij,jl1) - zdvice(ii,ij,jl) |
---|
| 543 | v_i(ii,ij,jl2) = v_i(ii,ij,jl2) + zdvice(ii,ij,jl) |
---|
[825] | 544 | |
---|
| 545 | !-------------- |
---|
| 546 | ! Snow volumes |
---|
| 547 | !-------------- |
---|
[4688] | 548 | zdvsnow = v_s(ii,ij,jl1) * zworka(ii,ij) |
---|
[4161] | 549 | v_s(ii,ij,jl1) = v_s(ii,ij,jl1) - zdvsnow |
---|
| 550 | v_s(ii,ij,jl2) = v_s(ii,ij,jl2) + zdvsnow |
---|
[825] | 551 | |
---|
| 552 | !-------------------- |
---|
| 553 | ! Snow heat content |
---|
| 554 | !-------------------- |
---|
[4688] | 555 | zdesnow = e_s(ii,ij,1,jl1) * zworka(ii,ij) |
---|
[4161] | 556 | e_s(ii,ij,1,jl1) = e_s(ii,ij,1,jl1) - zdesnow |
---|
| 557 | e_s(ii,ij,1,jl2) = e_s(ii,ij,1,jl2) + zdesnow |
---|
[825] | 558 | |
---|
| 559 | !-------------- |
---|
| 560 | ! Ice age |
---|
| 561 | !-------------- |
---|
[4688] | 562 | zdo_aice = oa_i(ii,ij,jl1) * zdaice(ii,ij,jl) |
---|
[4161] | 563 | oa_i(ii,ij,jl1) = oa_i(ii,ij,jl1) - zdo_aice |
---|
| 564 | oa_i(ii,ij,jl2) = oa_i(ii,ij,jl2) + zdo_aice |
---|
[825] | 565 | |
---|
| 566 | !-------------- |
---|
| 567 | ! Ice salinity |
---|
| 568 | !-------------- |
---|
[4688] | 569 | zdsm_vice = smv_i(ii,ij,jl1) * zworka(ii,ij) |
---|
[4161] | 570 | smv_i(ii,ij,jl1) = smv_i(ii,ij,jl1) - zdsm_vice |
---|
| 571 | smv_i(ii,ij,jl2) = smv_i(ii,ij,jl2) + zdsm_vice |
---|
[825] | 572 | |
---|
| 573 | !--------------------- |
---|
| 574 | ! Surface temperature |
---|
| 575 | !--------------------- |
---|
[4688] | 576 | zdaTsf = t_su(ii,ij,jl1) * zdaice(ii,ij,jl) |
---|
[4161] | 577 | zaTsfn(ii,ij,jl1) = zaTsfn(ii,ij,jl1) - zdaTsf |
---|
| 578 | zaTsfn(ii,ij,jl2) = zaTsfn(ii,ij,jl2) + zdaTsf |
---|
[825] | 579 | |
---|
[5123] | 580 | END DO |
---|
[825] | 581 | |
---|
| 582 | !------------------ |
---|
| 583 | ! Ice heat content |
---|
| 584 | !------------------ |
---|
| 585 | |
---|
| 586 | DO jk = 1, nlay_i |
---|
| 587 | DO ji = 1, nbrem |
---|
[4161] | 588 | ii = nind_i(ji) |
---|
| 589 | ij = nind_j(ji) |
---|
[825] | 590 | |
---|
[4161] | 591 | jl1 = zdonor(ii,ij,jl) |
---|
[5123] | 592 | IF (jl1 == jl) THEN |
---|
[825] | 593 | jl2 = jl+1 |
---|
| 594 | ELSE ! n1 = n+1 |
---|
| 595 | jl2 = jl |
---|
| 596 | ENDIF |
---|
| 597 | |
---|
[4161] | 598 | zdeice = e_i(ii,ij,jk,jl1) * zworka(ii,ij) |
---|
| 599 | e_i(ii,ij,jk,jl1) = e_i(ii,ij,jk,jl1) - zdeice |
---|
| 600 | e_i(ii,ij,jk,jl2) = e_i(ii,ij,jk,jl2) + zdeice |
---|
[5123] | 601 | END DO |
---|
| 602 | END DO |
---|
[825] | 603 | |
---|
| 604 | END DO ! boundaries, 1 to ncat-1 |
---|
| 605 | |
---|
| 606 | !----------------------------------------------------------------- |
---|
| 607 | ! Update ice thickness and temperature |
---|
| 608 | !----------------------------------------------------------------- |
---|
| 609 | |
---|
| 610 | DO jl = klbnd, kubnd |
---|
| 611 | DO jj = 1, jpj |
---|
[921] | 612 | DO ji = 1, jpi |
---|
[2715] | 613 | IF ( a_i(ji,jj,jl) > epsi10 ) THEN |
---|
| 614 | ht_i(ji,jj,jl) = v_i (ji,jj,jl) / a_i(ji,jj,jl) |
---|
[921] | 615 | t_su(ji,jj,jl) = zaTsfn(ji,jj,jl) / a_i(ji,jj,jl) |
---|
| 616 | ELSE |
---|
[2715] | 617 | ht_i(ji,jj,jl) = 0._wp |
---|
[5123] | 618 | t_su(ji,jj,jl) = rt0 |
---|
[921] | 619 | ENDIF |
---|
[5123] | 620 | END DO |
---|
| 621 | END DO |
---|
| 622 | END DO |
---|
[2715] | 623 | ! |
---|
[3294] | 624 | CALL wrk_dealloc( jpi,jpj,jpl, zaTsfn ) |
---|
| 625 | CALL wrk_dealloc( jpi,jpj, zworka ) |
---|
[5407] | 626 | CALL wrk_dealloc( (jpi+1)*(jpj+1), nind_i, nind_j ) |
---|
[3294] | 627 | ! |
---|
[921] | 628 | END SUBROUTINE lim_itd_shiftice |
---|
[2715] | 629 | |
---|
[825] | 630 | |
---|
[4869] | 631 | SUBROUTINE lim_itd_th_reb( klbnd, kubnd ) |
---|
[921] | 632 | !!------------------------------------------------------------------ |
---|
| 633 | !! *** ROUTINE lim_itd_th_reb *** |
---|
[2715] | 634 | !! |
---|
[921] | 635 | !! ** Purpose : rebin - rebins thicknesses into defined categories |
---|
| 636 | !! |
---|
| 637 | !! ** Method : |
---|
| 638 | !!------------------------------------------------------------------ |
---|
[2715] | 639 | INTEGER , INTENT (in) :: klbnd ! Start thickness category index point |
---|
| 640 | INTEGER , INTENT (in) :: kubnd ! End point on which the the computation is applied |
---|
| 641 | ! |
---|
| 642 | INTEGER :: ji,jj, jl ! dummy loop indices |
---|
| 643 | INTEGER :: zshiftflag ! = .true. if ice must be shifted |
---|
[921] | 644 | CHARACTER (len = 15) :: fieldid |
---|
[825] | 645 | |
---|
[3294] | 646 | INTEGER , POINTER, DIMENSION(:,:,:) :: zdonor ! donor category index |
---|
| 647 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zdaice, zdvice ! ice area and volume transferred |
---|
[825] | 648 | |
---|
[3294] | 649 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories |
---|
| 650 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_s_init, vt_s_final ! snow volume summed over categories |
---|
[2715] | 651 | !!------------------------------------------------------------------ |
---|
[3294] | 652 | |
---|
| 653 | CALL wrk_alloc( jpi,jpj,jpl, zdonor ) ! interger |
---|
| 654 | CALL wrk_alloc( jpi,jpj,jpl, zdaice, zdvice ) |
---|
| 655 | CALL wrk_alloc( jpi,jpj, vt_i_init, vt_i_final, vt_s_init, vt_s_final ) |
---|
[2715] | 656 | ! |
---|
| 657 | IF( con_i ) THEN ! conservation check |
---|
[834] | 658 | CALL lim_column_sum (jpl, v_i, vt_i_init) |
---|
| 659 | CALL lim_column_sum (jpl, v_s, vt_s_init) |
---|
| 660 | ENDIF |
---|
[825] | 661 | |
---|
[921] | 662 | ! |
---|
| 663 | !------------------------------------------------------------------------------ |
---|
| 664 | ! 1) Compute ice thickness. |
---|
| 665 | !------------------------------------------------------------------------------ |
---|
[825] | 666 | DO jl = klbnd, kubnd |
---|
| 667 | DO jj = 1, jpj |
---|
[921] | 668 | DO ji = 1, jpi |
---|
[5134] | 669 | rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi10 ) ) |
---|
| 670 | ht_i(ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi10 ) * rswitch |
---|
[2715] | 671 | END DO |
---|
| 672 | END DO |
---|
| 673 | END DO |
---|
[825] | 674 | |
---|
[921] | 675 | !------------------------------------------------------------------------------ |
---|
[5134] | 676 | ! 2) If a category thickness is not in bounds, shift the |
---|
[921] | 677 | ! entire area, volume, and energy to the neighboring category |
---|
| 678 | !------------------------------------------------------------------------------ |
---|
[825] | 679 | !------------------------- |
---|
| 680 | ! Initialize shift arrays |
---|
| 681 | !------------------------- |
---|
| 682 | DO jl = klbnd, kubnd |
---|
[2715] | 683 | zdonor(:,:,jl) = 0 |
---|
| 684 | zdaice(:,:,jl) = 0._wp |
---|
| 685 | zdvice(:,:,jl) = 0._wp |
---|
[825] | 686 | END DO |
---|
| 687 | |
---|
| 688 | !------------------------- |
---|
| 689 | ! Move thin categories up |
---|
| 690 | !------------------------- |
---|
| 691 | |
---|
| 692 | DO jl = klbnd, kubnd - 1 ! loop over category boundaries |
---|
| 693 | |
---|
[921] | 694 | !--------------------------------------- |
---|
| 695 | ! identify thicknesses that are too big |
---|
| 696 | !--------------------------------------- |
---|
[869] | 697 | zshiftflag = 0 |
---|
[825] | 698 | |
---|
| 699 | DO jj = 1, jpj |
---|
| 700 | DO ji = 1, jpi |
---|
[2715] | 701 | IF( a_i(ji,jj,jl) > epsi10 .AND. ht_i(ji,jj,jl) > hi_max(jl) ) THEN |
---|
[869] | 702 | zshiftflag = 1 |
---|
[825] | 703 | zdonor(ji,jj,jl) = jl |
---|
[4161] | 704 | ! begin TECLIM change |
---|
[4293] | 705 | !zdaice(ji,jj,jl) = a_i(ji,jj,jl) * 0.5_wp |
---|
| 706 | !zdvice(ji,jj,jl) = v_i(ji,jj,jl)-zdaice(ji,jj,jl)*(hi_max(jl)+hi_max(jl-1)) * 0.5_wp |
---|
[4161] | 707 | ! end TECLIM change |
---|
[4293] | 708 | ! clem: how much of a_i you send in cat sup is somewhat arbitrary |
---|
[5134] | 709 | zdaice(ji,jj,jl) = a_i(ji,jj,jl) * ( ht_i(ji,jj,jl) - hi_max(jl) + epsi20 ) / ht_i(ji,jj,jl) |
---|
| 710 | zdvice(ji,jj,jl) = v_i(ji,jj,jl) - ( a_i(ji,jj,jl) - zdaice(ji,jj,jl) ) * ( hi_max(jl) - epsi20 ) |
---|
[825] | 711 | ENDIF |
---|
[5123] | 712 | END DO |
---|
| 713 | END DO |
---|
[2715] | 714 | IF(lk_mpp) CALL mpp_max( zshiftflag ) |
---|
[825] | 715 | |
---|
[2715] | 716 | IF( zshiftflag == 1 ) THEN ! Shift ice between categories |
---|
| 717 | CALL lim_itd_shiftice( klbnd, kubnd, zdonor, zdaice, zdvice ) |
---|
[921] | 718 | ! Reset shift parameters |
---|
[2715] | 719 | zdonor(:,:,jl) = 0 |
---|
| 720 | zdaice(:,:,jl) = 0._wp |
---|
| 721 | zdvice(:,:,jl) = 0._wp |
---|
| 722 | ENDIF |
---|
| 723 | ! |
---|
[5134] | 724 | END DO |
---|
[825] | 725 | |
---|
| 726 | !---------------------------- |
---|
| 727 | ! Move thick categories down |
---|
| 728 | !---------------------------- |
---|
| 729 | |
---|
| 730 | DO jl = kubnd - 1, 1, -1 ! loop over category boundaries |
---|
| 731 | |
---|
[921] | 732 | !----------------------------------------- |
---|
| 733 | ! Identify thicknesses that are too small |
---|
| 734 | !----------------------------------------- |
---|
[869] | 735 | zshiftflag = 0 |
---|
[825] | 736 | |
---|
[4688] | 737 | DO jj = 1, jpj |
---|
| 738 | DO ji = 1, jpi |
---|
| 739 | IF( a_i(ji,jj,jl+1) > epsi10 .AND. ht_i(ji,jj,jl+1) <= hi_max(jl) ) THEN |
---|
| 740 | ! |
---|
| 741 | zshiftflag = 1 |
---|
| 742 | zdonor(ji,jj,jl) = jl + 1 |
---|
| 743 | zdaice(ji,jj,jl) = a_i(ji,jj,jl+1) |
---|
| 744 | zdvice(ji,jj,jl) = v_i(ji,jj,jl+1) |
---|
| 745 | ENDIF |
---|
[5123] | 746 | END DO |
---|
| 747 | END DO |
---|
[4688] | 748 | |
---|
| 749 | IF(lk_mpp) CALL mpp_max( zshiftflag ) |
---|
| 750 | |
---|
| 751 | IF( zshiftflag == 1 ) THEN ! Shift ice between categories |
---|
| 752 | CALL lim_itd_shiftice( klbnd, kubnd, zdonor, zdaice, zdvice ) |
---|
| 753 | ! Reset shift parameters |
---|
| 754 | zdonor(:,:,jl) = 0 |
---|
| 755 | zdaice(:,:,jl) = 0._wp |
---|
| 756 | zdvice(:,:,jl) = 0._wp |
---|
| 757 | ENDIF |
---|
| 758 | |
---|
[5123] | 759 | END DO |
---|
[825] | 760 | |
---|
[921] | 761 | !------------------------------------------------------------------------------ |
---|
[5134] | 762 | ! 3) Conservation check |
---|
[921] | 763 | !------------------------------------------------------------------------------ |
---|
[825] | 764 | |
---|
[2715] | 765 | IF( con_i ) THEN |
---|
[921] | 766 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
---|
| 767 | fieldid = ' v_i : limitd_reb ' |
---|
| 768 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
[825] | 769 | |
---|
[921] | 770 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
---|
| 771 | fieldid = ' v_s : limitd_reb ' |
---|
| 772 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
---|
| 773 | ENDIF |
---|
[2715] | 774 | ! |
---|
[5407] | 775 | CALL wrk_dealloc( jpi,jpj,jpl, zdonor ) |
---|
[3294] | 776 | CALL wrk_dealloc( jpi,jpj,jpl, zdaice, zdvice ) |
---|
| 777 | CALL wrk_dealloc( jpi,jpj, vt_i_init, vt_i_final, vt_s_init, vt_s_final ) |
---|
| 778 | |
---|
[921] | 779 | END SUBROUTINE lim_itd_th_reb |
---|
[825] | 780 | |
---|
| 781 | #else |
---|
[2715] | 782 | !!---------------------------------------------------------------------- |
---|
| 783 | !! Default option Dummy module NO LIM sea-ice model |
---|
| 784 | !!---------------------------------------------------------------------- |
---|
[825] | 785 | CONTAINS |
---|
| 786 | SUBROUTINE lim_itd_th_rem |
---|
| 787 | END SUBROUTINE lim_itd_th_rem |
---|
| 788 | SUBROUTINE lim_itd_fitline |
---|
| 789 | END SUBROUTINE lim_itd_fitline |
---|
| 790 | SUBROUTINE lim_itd_shiftice |
---|
| 791 | END SUBROUTINE lim_itd_shiftice |
---|
| 792 | SUBROUTINE lim_itd_th_reb |
---|
| 793 | END SUBROUTINE lim_itd_th_reb |
---|
| 794 | #endif |
---|
[2715] | 795 | !!====================================================================== |
---|
[921] | 796 | END MODULE limitd_th |
---|