[8586] | 1 | MODULE icevar |
---|
| 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE icevar *** |
---|
[9604] | 4 | !! sea-ice: series of functions to transform or compute ice variables |
---|
| 5 | !!====================================================================== |
---|
| 6 | !! History : - ! 2006-01 (M. Vancoppenolle) Original code |
---|
| 7 | !! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube] |
---|
| 8 | !!---------------------------------------------------------------------- |
---|
| 9 | #if defined key_si3 |
---|
| 10 | !!---------------------------------------------------------------------- |
---|
| 11 | !! 'key_si3' SI3 sea-ice model |
---|
| 12 | !!---------------------------------------------------------------------- |
---|
[8586] | 13 | !! |
---|
| 14 | !! There are three sets of variables |
---|
| 15 | !! VGLO : global variables of the model |
---|
| 16 | !! - v_i (jpi,jpj,jpl) |
---|
| 17 | !! - v_s (jpi,jpj,jpl) |
---|
| 18 | !! - a_i (jpi,jpj,jpl) |
---|
| 19 | !! - t_s (jpi,jpj,jpl) |
---|
| 20 | !! - e_i (jpi,jpj,nlay_i,jpl) |
---|
[9604] | 21 | !! - e_s (jpi,jpj,nlay_s,jpl) |
---|
[8586] | 22 | !! - sv_i(jpi,jpj,jpl) |
---|
| 23 | !! - oa_i(jpi,jpj,jpl) |
---|
| 24 | !! VEQV : equivalent variables sometimes used in the model |
---|
| 25 | !! - h_i(jpi,jpj,jpl) |
---|
| 26 | !! - h_s(jpi,jpj,jpl) |
---|
| 27 | !! - t_i(jpi,jpj,nlay_i,jpl) |
---|
| 28 | !! ... |
---|
| 29 | !! VAGG : aggregate variables, averaged/summed over all |
---|
| 30 | !! thickness categories |
---|
| 31 | !! - vt_i(jpi,jpj) |
---|
| 32 | !! - vt_s(jpi,jpj) |
---|
| 33 | !! - at_i(jpi,jpj) |
---|
[9433] | 34 | !! - et_s(jpi,jpj) total snow heat content |
---|
| 35 | !! - et_i(jpi,jpj) total ice thermal content |
---|
| 36 | !! - sm_i(jpi,jpj) mean ice salinity |
---|
| 37 | !! - tm_i(jpi,jpj) mean ice temperature |
---|
| 38 | !! - tm_s(jpi,jpj) mean snw temperature |
---|
[8586] | 39 | !!---------------------------------------------------------------------- |
---|
| 40 | !! ice_var_agg : integrate variables over layers and categories |
---|
| 41 | !! ice_var_glo2eqv : transform from VGLO to VEQV |
---|
| 42 | !! ice_var_eqv2glo : transform from VEQV to VGLO |
---|
| 43 | !! ice_var_salprof : salinity profile in the ice |
---|
| 44 | !! ice_var_salprof1d : salinity profile in the ice 1D |
---|
| 45 | !! ice_var_zapsmall : remove very small area and volume |
---|
[11081] | 46 | !! ice_var_zapneg : remove negative ice fields |
---|
| 47 | !! ice_var_roundoff : remove negative values arising from roundoff erros |
---|
[8813] | 48 | !! ice_var_itd : convert 1-cat to jpl-cat |
---|
| 49 | !! ice_var_itd2 : convert N-cat to jpl-cat |
---|
[8586] | 50 | !! ice_var_bv : brine volume |
---|
[8984] | 51 | !! ice_var_enthalpy : compute ice and snow enthalpies from temperature |
---|
[10332] | 52 | !! ice_var_sshdyn : compute equivalent ssh in lead |
---|
[8586] | 53 | !!---------------------------------------------------------------------- |
---|
| 54 | USE dom_oce ! ocean space and time domain |
---|
| 55 | USE phycst ! physical constants (ocean directory) |
---|
[10332] | 56 | USE sbc_oce , ONLY : sss_m, ln_ice_embd, nn_fsbc |
---|
[8586] | 57 | USE ice ! sea-ice: variables |
---|
| 58 | USE ice1D ! sea-ice: thermodynamics variables |
---|
| 59 | ! |
---|
| 60 | USE in_out_manager ! I/O manager |
---|
| 61 | USE lib_mpp ! MPP library |
---|
| 62 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
---|
| 63 | |
---|
| 64 | IMPLICIT NONE |
---|
| 65 | PRIVATE |
---|
| 66 | |
---|
| 67 | PUBLIC ice_var_agg |
---|
| 68 | PUBLIC ice_var_glo2eqv |
---|
| 69 | PUBLIC ice_var_eqv2glo |
---|
| 70 | PUBLIC ice_var_salprof |
---|
| 71 | PUBLIC ice_var_salprof1d |
---|
| 72 | PUBLIC ice_var_zapsmall |
---|
[9943] | 73 | PUBLIC ice_var_zapneg |
---|
[11081] | 74 | PUBLIC ice_var_roundoff |
---|
[8586] | 75 | PUBLIC ice_var_itd |
---|
[8813] | 76 | PUBLIC ice_var_itd2 |
---|
[8586] | 77 | PUBLIC ice_var_bv |
---|
[8984] | 78 | PUBLIC ice_var_enthalpy |
---|
[10332] | 79 | PUBLIC ice_var_sshdyn |
---|
[8586] | 80 | |
---|
| 81 | !!---------------------------------------------------------------------- |
---|
[9598] | 82 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
---|
[10069] | 83 | !! $Id$ |
---|
[10068] | 84 | !! Software governed by the CeCILL license (see ./LICENSE) |
---|
[8586] | 85 | !!---------------------------------------------------------------------- |
---|
| 86 | CONTAINS |
---|
| 87 | |
---|
| 88 | SUBROUTINE ice_var_agg( kn ) |
---|
| 89 | !!------------------------------------------------------------------- |
---|
| 90 | !! *** ROUTINE ice_var_agg *** |
---|
| 91 | !! |
---|
| 92 | !! ** Purpose : aggregates ice-thickness-category variables to |
---|
| 93 | !! all-ice variables, i.e. it turns VGLO into VAGG |
---|
| 94 | !!------------------------------------------------------------------- |
---|
| 95 | INTEGER, INTENT( in ) :: kn ! =1 state variables only |
---|
| 96 | ! ! >1 state variables + others |
---|
| 97 | ! |
---|
| 98 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
[9433] | 99 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: z1_at_i, z1_vt_i, z1_vt_s |
---|
[8586] | 100 | !!------------------------------------------------------------------- |
---|
| 101 | ! |
---|
| 102 | ! ! integrated values |
---|
| 103 | vt_i(:,:) = SUM( v_i(:,:,:) , dim=3 ) |
---|
| 104 | vt_s(:,:) = SUM( v_s(:,:,:) , dim=3 ) |
---|
| 105 | at_i(:,:) = SUM( a_i(:,:,:) , dim=3 ) |
---|
| 106 | et_s(:,:) = SUM( SUM( e_s(:,:,:,:), dim=4 ), dim=3 ) |
---|
| 107 | et_i(:,:) = SUM( SUM( e_i(:,:,:,:), dim=4 ), dim=3 ) |
---|
[8813] | 108 | ! |
---|
[8637] | 109 | at_ip(:,:) = SUM( a_ip(:,:,:), dim=3 ) ! melt ponds |
---|
| 110 | vt_ip(:,:) = SUM( v_ip(:,:,:), dim=3 ) |
---|
[8813] | 111 | ! |
---|
| 112 | ato_i(:,:) = 1._wp - at_i(:,:) ! open water fraction |
---|
[8586] | 113 | |
---|
[9725] | 114 | ! The following fields are calculated for diagnostics and outputs only |
---|
| 115 | ! ==> Do not use them for other purposes |
---|
[8586] | 116 | IF( kn > 1 ) THEN |
---|
| 117 | ! |
---|
[9433] | 118 | ALLOCATE( z1_at_i(jpi,jpj) , z1_vt_i(jpi,jpj) , z1_vt_s(jpi,jpj) ) |
---|
[8586] | 119 | WHERE( at_i(:,:) > epsi20 ) ; z1_at_i(:,:) = 1._wp / at_i(:,:) |
---|
| 120 | ELSEWHERE ; z1_at_i(:,:) = 0._wp |
---|
| 121 | END WHERE |
---|
| 122 | WHERE( vt_i(:,:) > epsi20 ) ; z1_vt_i(:,:) = 1._wp / vt_i(:,:) |
---|
| 123 | ELSEWHERE ; z1_vt_i(:,:) = 0._wp |
---|
| 124 | END WHERE |
---|
[9433] | 125 | WHERE( vt_s(:,:) > epsi20 ) ; z1_vt_s(:,:) = 1._wp / vt_s(:,:) |
---|
| 126 | ELSEWHERE ; z1_vt_s(:,:) = 0._wp |
---|
| 127 | END WHERE |
---|
[8586] | 128 | ! |
---|
| 129 | ! ! mean ice/snow thickness |
---|
| 130 | hm_i(:,:) = vt_i(:,:) * z1_at_i(:,:) |
---|
| 131 | hm_s(:,:) = vt_s(:,:) * z1_at_i(:,:) |
---|
| 132 | ! |
---|
| 133 | ! ! mean temperature (K), salinity and age |
---|
| 134 | tm_su(:,:) = SUM( t_su(:,:,:) * a_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
---|
| 135 | tm_si(:,:) = SUM( t_si(:,:,:) * a_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
---|
| 136 | om_i (:,:) = SUM( oa_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
---|
[9118] | 137 | sm_i (:,:) = SUM( sv_i(:,:,:) , dim=3 ) * z1_vt_i(:,:) |
---|
[8586] | 138 | ! |
---|
| 139 | tm_i(:,:) = 0._wp |
---|
[9433] | 140 | tm_s(:,:) = 0._wp |
---|
[8586] | 141 | DO jl = 1, jpl |
---|
| 142 | DO jk = 1, nlay_i |
---|
| 143 | tm_i(:,:) = tm_i(:,:) + r1_nlay_i * t_i (:,:,jk,jl) * v_i(:,:,jl) * z1_vt_i(:,:) |
---|
| 144 | END DO |
---|
[9433] | 145 | DO jk = 1, nlay_s |
---|
| 146 | tm_s(:,:) = tm_s(:,:) + r1_nlay_s * t_s (:,:,jk,jl) * v_s(:,:,jl) * z1_vt_s(:,:) |
---|
| 147 | END DO |
---|
[8586] | 148 | END DO |
---|
| 149 | ! |
---|
[8637] | 150 | ! ! put rt0 where there is no ice |
---|
| 151 | WHERE( at_i(:,:)<=epsi20 ) |
---|
| 152 | tm_su(:,:) = rt0 |
---|
| 153 | tm_si(:,:) = rt0 |
---|
| 154 | tm_i (:,:) = rt0 |
---|
[9433] | 155 | tm_s (:,:) = rt0 |
---|
[8637] | 156 | END WHERE |
---|
| 157 | |
---|
[9433] | 158 | DEALLOCATE( z1_at_i , z1_vt_i , z1_vt_s ) |
---|
[8586] | 159 | ENDIF |
---|
| 160 | ! |
---|
| 161 | END SUBROUTINE ice_var_agg |
---|
| 162 | |
---|
| 163 | |
---|
| 164 | SUBROUTINE ice_var_glo2eqv |
---|
| 165 | !!------------------------------------------------------------------- |
---|
| 166 | !! *** ROUTINE ice_var_glo2eqv *** |
---|
| 167 | !! |
---|
| 168 | !! ** Purpose : computes equivalent variables as function of |
---|
| 169 | !! global variables, i.e. it turns VGLO into VEQV |
---|
| 170 | !!------------------------------------------------------------------- |
---|
| 171 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
| 172 | REAL(wp) :: ze_i ! local scalars |
---|
| 173 | REAL(wp) :: ze_s, ztmelts, zbbb, zccc ! - - |
---|
| 174 | REAL(wp) :: zhmax, z1_zhmax ! - - |
---|
| 175 | REAL(wp) :: zlay_i, zlay_s ! - - |
---|
| 176 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z1_a_i, z1_v_i |
---|
| 177 | !!------------------------------------------------------------------- |
---|
| 178 | |
---|
| 179 | !!gm Question 2: It is possible to define existence of sea-ice in a common way between |
---|
| 180 | !! ice area and ice volume ? |
---|
| 181 | !! the idea is to be able to define one for all at the begining of this routine |
---|
| 182 | !! a criteria for icy area (i.e. a_i > epsi20 and v_i > epsi20 ) |
---|
| 183 | |
---|
[8637] | 184 | !--------------------------------------------------------------- |
---|
| 185 | ! Ice thickness, snow thickness, ice salinity, ice age and ponds |
---|
| 186 | !--------------------------------------------------------------- |
---|
[8586] | 187 | ! !--- inverse of the ice area |
---|
| 188 | WHERE( a_i(:,:,:) > epsi20 ) ; z1_a_i(:,:,:) = 1._wp / a_i(:,:,:) |
---|
| 189 | ELSEWHERE ; z1_a_i(:,:,:) = 0._wp |
---|
| 190 | END WHERE |
---|
| 191 | ! |
---|
| 192 | WHERE( v_i(:,:,:) > epsi20 ) ; z1_v_i(:,:,:) = 1._wp / v_i(:,:,:) |
---|
| 193 | ELSEWHERE ; z1_v_i(:,:,:) = 0._wp |
---|
| 194 | END WHERE |
---|
[8637] | 195 | ! !--- ice thickness |
---|
| 196 | h_i(:,:,:) = v_i (:,:,:) * z1_a_i(:,:,:) |
---|
[8586] | 197 | |
---|
| 198 | zhmax = hi_max(jpl) |
---|
| 199 | z1_zhmax = 1._wp / hi_max(jpl) |
---|
[8637] | 200 | WHERE( h_i(:,:,jpl) > zhmax ) ! bound h_i by hi_max (i.e. 99 m) with associated update of ice area |
---|
[8586] | 201 | h_i (:,:,jpl) = zhmax |
---|
| 202 | a_i (:,:,jpl) = v_i(:,:,jpl) * z1_zhmax |
---|
[8637] | 203 | z1_a_i(:,:,jpl) = zhmax * z1_v_i(:,:,jpl) |
---|
[8586] | 204 | END WHERE |
---|
[8637] | 205 | ! !--- snow thickness |
---|
| 206 | h_s(:,:,:) = v_s (:,:,:) * z1_a_i(:,:,:) |
---|
| 207 | ! !--- ice age |
---|
| 208 | o_i(:,:,:) = oa_i(:,:,:) * z1_a_i(:,:,:) |
---|
| 209 | ! !--- pond fraction and thickness |
---|
| 210 | a_ip_frac(:,:,:) = a_ip(:,:,:) * z1_a_i(:,:,:) |
---|
| 211 | WHERE( a_ip_frac(:,:,:) > epsi20 ) ; h_ip(:,:,:) = v_ip(:,:,:) * z1_a_i(:,:,:) / a_ip_frac(:,:,:) |
---|
| 212 | ELSEWHERE ; h_ip(:,:,:) = 0._wp |
---|
| 213 | END WHERE |
---|
| 214 | ! |
---|
| 215 | ! !--- salinity (with a minimum value imposed everywhere) |
---|
| 216 | IF( nn_icesal == 2 ) THEN |
---|
[8586] | 217 | WHERE( v_i(:,:,:) > epsi20 ) ; s_i(:,:,:) = MAX( rn_simin , MIN( rn_simax, sv_i(:,:,:) * z1_v_i(:,:,:) ) ) |
---|
| 218 | ELSEWHERE ; s_i(:,:,:) = rn_simin |
---|
| 219 | END WHERE |
---|
| 220 | ENDIF |
---|
[8637] | 221 | CALL ice_var_salprof ! salinity profile |
---|
[8586] | 222 | |
---|
| 223 | !------------------- |
---|
| 224 | ! Ice temperature [K] (with a minimum value (rt0 - 100.)) |
---|
| 225 | !------------------- |
---|
| 226 | zlay_i = REAL( nlay_i , wp ) ! number of layers |
---|
| 227 | DO jl = 1, jpl |
---|
| 228 | DO jk = 1, nlay_i |
---|
| 229 | DO jj = 1, jpj |
---|
| 230 | DO ji = 1, jpi |
---|
| 231 | IF ( v_i(ji,jj,jl) > epsi20 ) THEN !--- icy area |
---|
| 232 | ! |
---|
[11081] | 233 | ze_i = e_i (ji,jj,jk,jl) * z1_v_i(ji,jj,jl) * zlay_i ! Energy of melting e(S,T) [J.m-3] |
---|
[9935] | 234 | ztmelts = - sz_i(ji,jj,jk,jl) * rTmlt ! Ice layer melt temperature [C] |
---|
[8586] | 235 | ! Conversion q(S,T) -> T (second order equation) |
---|
[9935] | 236 | zbbb = ( rcp - rcpi ) * ztmelts + ze_i * r1_rhoi - rLfus |
---|
| 237 | zccc = SQRT( MAX( zbbb * zbbb - 4._wp * rcpi * rLfus * ztmelts , 0._wp) ) |
---|
| 238 | t_i(ji,jj,jk,jl) = MAX( -100._wp , MIN( -( zbbb + zccc ) * 0.5_wp * r1_rcpi , ztmelts ) ) + rt0 ! [K] with bounds: -100 < t_i < ztmelts |
---|
[8586] | 239 | ! |
---|
[11081] | 240 | ELSE !--- no ice |
---|
[8586] | 241 | t_i(ji,jj,jk,jl) = rt0 |
---|
| 242 | ENDIF |
---|
| 243 | END DO |
---|
| 244 | END DO |
---|
| 245 | END DO |
---|
| 246 | END DO |
---|
| 247 | |
---|
| 248 | !-------------------- |
---|
| 249 | ! Snow temperature [K] (with a minimum value (rt0 - 100.)) |
---|
| 250 | !-------------------- |
---|
| 251 | zlay_s = REAL( nlay_s , wp ) |
---|
| 252 | DO jk = 1, nlay_s |
---|
| 253 | WHERE( v_s(:,:,:) > epsi20 ) !--- icy area |
---|
[9121] | 254 | t_s(:,:,jk,:) = rt0 + MAX( -100._wp , & |
---|
[9935] | 255 | & MIN( r1_rcpi * ( -r1_rhos * ( e_s(:,:,jk,:) / v_s(:,:,:) * zlay_s ) + rLfus ) , 0._wp ) ) |
---|
[8586] | 256 | ELSEWHERE !--- no ice |
---|
| 257 | t_s(:,:,jk,:) = rt0 |
---|
| 258 | END WHERE |
---|
| 259 | END DO |
---|
[8813] | 260 | ! |
---|
[8586] | 261 | ! integrated values |
---|
| 262 | vt_i (:,:) = SUM( v_i, dim=3 ) |
---|
| 263 | vt_s (:,:) = SUM( v_s, dim=3 ) |
---|
| 264 | at_i (:,:) = SUM( a_i, dim=3 ) |
---|
| 265 | ! |
---|
| 266 | END SUBROUTINE ice_var_glo2eqv |
---|
| 267 | |
---|
| 268 | |
---|
| 269 | SUBROUTINE ice_var_eqv2glo |
---|
| 270 | !!------------------------------------------------------------------- |
---|
| 271 | !! *** ROUTINE ice_var_eqv2glo *** |
---|
| 272 | !! |
---|
| 273 | !! ** Purpose : computes global variables as function of |
---|
| 274 | !! equivalent variables, i.e. it turns VEQV into VGLO |
---|
| 275 | !!------------------------------------------------------------------- |
---|
| 276 | ! |
---|
[8637] | 277 | v_i (:,:,:) = h_i (:,:,:) * a_i (:,:,:) |
---|
| 278 | v_s (:,:,:) = h_s (:,:,:) * a_i (:,:,:) |
---|
| 279 | sv_i(:,:,:) = s_i (:,:,:) * v_i (:,:,:) |
---|
| 280 | v_ip(:,:,:) = h_ip(:,:,:) * a_ip(:,:,:) |
---|
[8586] | 281 | ! |
---|
| 282 | END SUBROUTINE ice_var_eqv2glo |
---|
| 283 | |
---|
| 284 | |
---|
| 285 | SUBROUTINE ice_var_salprof |
---|
| 286 | !!------------------------------------------------------------------- |
---|
| 287 | !! *** ROUTINE ice_var_salprof *** |
---|
| 288 | !! |
---|
| 289 | !! ** Purpose : computes salinity profile in function of bulk salinity |
---|
| 290 | !! |
---|
| 291 | !! ** Method : If bulk salinity greater than zsi1, |
---|
| 292 | !! the profile is assumed to be constant (S_inf) |
---|
| 293 | !! If bulk salinity lower than zsi0, |
---|
| 294 | !! the profile is linear with 0 at the surface (S_zero) |
---|
| 295 | !! If it is between zsi0 and zsi1, it is a |
---|
| 296 | !! alpha-weighted linear combination of s_inf and s_zero |
---|
| 297 | !! |
---|
| 298 | !! ** References : Vancoppenolle et al., 2007 |
---|
| 299 | !!------------------------------------------------------------------- |
---|
| 300 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
---|
| 301 | REAL(wp) :: zsal, z1_dS |
---|
| 302 | REAL(wp) :: zargtemp , zs0, zs |
---|
| 303 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z_slope_s, zalpha ! case 2 only |
---|
| 304 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
---|
| 305 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
---|
| 306 | !!------------------------------------------------------------------- |
---|
| 307 | |
---|
| 308 | !!gm Question: Remove the option 3 ? How many years since it last use ? |
---|
| 309 | |
---|
| 310 | SELECT CASE ( nn_icesal ) |
---|
| 311 | ! |
---|
| 312 | ! !---------------------------------------! |
---|
| 313 | CASE( 1 ) ! constant salinity in time and space ! |
---|
| 314 | ! !---------------------------------------! |
---|
| 315 | sz_i(:,:,:,:) = rn_icesal |
---|
[9118] | 316 | s_i (:,:,:) = rn_icesal |
---|
[8586] | 317 | ! |
---|
| 318 | ! !---------------------------------------------! |
---|
| 319 | CASE( 2 ) ! time varying salinity with linear profile ! |
---|
| 320 | ! !---------------------------------------------! |
---|
| 321 | ! |
---|
| 322 | ALLOCATE( z_slope_s(jpi,jpj,jpl) , zalpha(jpi,jpj,jpl) ) |
---|
| 323 | ! |
---|
| 324 | DO jl = 1, jpl |
---|
| 325 | DO jk = 1, nlay_i |
---|
| 326 | sz_i(:,:,jk,jl) = s_i(:,:,jl) |
---|
| 327 | END DO |
---|
| 328 | END DO |
---|
| 329 | ! ! Slope of the linear profile |
---|
| 330 | WHERE( h_i(:,:,:) > epsi20 ) ; z_slope_s(:,:,:) = 2._wp * s_i(:,:,:) / h_i(:,:,:) |
---|
[9118] | 331 | ELSEWHERE ; z_slope_s(:,:,:) = 0._wp |
---|
[8586] | 332 | END WHERE |
---|
| 333 | ! |
---|
| 334 | z1_dS = 1._wp / ( zsi1 - zsi0 ) |
---|
| 335 | DO jl = 1, jpl |
---|
| 336 | DO jj = 1, jpj |
---|
| 337 | DO ji = 1, jpi |
---|
| 338 | zalpha(ji,jj,jl) = MAX( 0._wp , MIN( ( zsi1 - s_i(ji,jj,jl) ) * z1_dS , 1._wp ) ) |
---|
| 339 | ! ! force a constant profile when SSS too low (Baltic Sea) |
---|
| 340 | IF( 2._wp * s_i(ji,jj,jl) >= sss_m(ji,jj) ) zalpha(ji,jj,jl) = 0._wp |
---|
| 341 | END DO |
---|
| 342 | END DO |
---|
| 343 | END DO |
---|
[8813] | 344 | ! |
---|
[8586] | 345 | ! Computation of the profile |
---|
| 346 | DO jl = 1, jpl |
---|
| 347 | DO jk = 1, nlay_i |
---|
| 348 | DO jj = 1, jpj |
---|
| 349 | DO ji = 1, jpi |
---|
| 350 | ! ! linear profile with 0 surface value |
---|
| 351 | zs0 = z_slope_s(ji,jj,jl) * ( REAL(jk,wp) - 0.5_wp ) * h_i(ji,jj,jl) * r1_nlay_i |
---|
| 352 | zs = zalpha(ji,jj,jl) * zs0 + ( 1._wp - zalpha(ji,jj,jl) ) * s_i(ji,jj,jl) ! weighting the profile |
---|
| 353 | sz_i(ji,jj,jk,jl) = MIN( rn_simax, MAX( zs, rn_simin ) ) |
---|
| 354 | END DO |
---|
| 355 | END DO |
---|
| 356 | END DO |
---|
| 357 | END DO |
---|
| 358 | ! |
---|
| 359 | DEALLOCATE( z_slope_s , zalpha ) |
---|
| 360 | ! |
---|
| 361 | ! !-------------------------------------------! |
---|
| 362 | CASE( 3 ) ! constant salinity with a fix profile ! (Schwarzacher (1959) multiyear salinity profile |
---|
| 363 | ! !-------------------------------------------! (mean = 2.30) |
---|
| 364 | ! |
---|
| 365 | s_i(:,:,:) = 2.30_wp |
---|
| 366 | !!gm Remark: if we keep the case 3, then compute an store one for all time-step |
---|
| 367 | !! a array S_prof(1:nlay_i) containing the calculation and just do: |
---|
| 368 | ! DO jk = 1, nlay_i |
---|
| 369 | ! sz_i(:,:,jk,:) = S_prof(jk) |
---|
| 370 | ! END DO |
---|
| 371 | !!gm end |
---|
| 372 | ! |
---|
| 373 | DO jl = 1, jpl |
---|
| 374 | DO jk = 1, nlay_i |
---|
| 375 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
---|
| 376 | sz_i(:,:,jk,jl) = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ) ) |
---|
| 377 | END DO |
---|
| 378 | END DO |
---|
| 379 | ! |
---|
| 380 | END SELECT |
---|
| 381 | ! |
---|
| 382 | END SUBROUTINE ice_var_salprof |
---|
| 383 | |
---|
[8813] | 384 | |
---|
[8586] | 385 | SUBROUTINE ice_var_salprof1d |
---|
| 386 | !!------------------------------------------------------------------- |
---|
| 387 | !! *** ROUTINE ice_var_salprof1d *** |
---|
| 388 | !! |
---|
| 389 | !! ** Purpose : 1d computation of the sea ice salinity profile |
---|
| 390 | !! Works with 1d vectors and is used by thermodynamic modules |
---|
| 391 | !!------------------------------------------------------------------- |
---|
| 392 | INTEGER :: ji, jk ! dummy loop indices |
---|
| 393 | REAL(wp) :: zargtemp, zsal, z1_dS ! local scalars |
---|
| 394 | REAL(wp) :: zs, zs0 ! - - |
---|
| 395 | ! |
---|
| 396 | REAL(wp), ALLOCATABLE, DIMENSION(:) :: z_slope_s, zalpha ! |
---|
| 397 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
---|
| 398 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
---|
| 399 | !!------------------------------------------------------------------- |
---|
| 400 | ! |
---|
| 401 | SELECT CASE ( nn_icesal ) |
---|
| 402 | ! |
---|
| 403 | ! !---------------------------------------! |
---|
| 404 | CASE( 1 ) ! constant salinity in time and space ! |
---|
| 405 | ! !---------------------------------------! |
---|
| 406 | sz_i_1d(1:npti,:) = rn_icesal |
---|
| 407 | ! |
---|
| 408 | ! !---------------------------------------------! |
---|
| 409 | CASE( 2 ) ! time varying salinity with linear profile ! |
---|
| 410 | ! !---------------------------------------------! |
---|
| 411 | ! |
---|
| 412 | ALLOCATE( z_slope_s(jpij), zalpha(jpij) ) |
---|
| 413 | ! |
---|
| 414 | ! ! Slope of the linear profile |
---|
| 415 | WHERE( h_i_1d(1:npti) > epsi20 ) ; z_slope_s(1:npti) = 2._wp * s_i_1d(1:npti) / h_i_1d(1:npti) |
---|
[8984] | 416 | ELSEWHERE ; z_slope_s(1:npti) = 0._wp |
---|
[8586] | 417 | END WHERE |
---|
| 418 | |
---|
| 419 | z1_dS = 1._wp / ( zsi1 - zsi0 ) |
---|
| 420 | DO ji = 1, npti |
---|
| 421 | zalpha(ji) = MAX( 0._wp , MIN( ( zsi1 - s_i_1d(ji) ) * z1_dS , 1._wp ) ) |
---|
| 422 | ! ! force a constant profile when SSS too low (Baltic Sea) |
---|
| 423 | IF( 2._wp * s_i_1d(ji) >= sss_1d(ji) ) zalpha(ji) = 0._wp |
---|
| 424 | END DO |
---|
| 425 | ! |
---|
| 426 | ! Computation of the profile |
---|
| 427 | DO jk = 1, nlay_i |
---|
| 428 | DO ji = 1, npti |
---|
| 429 | ! ! linear profile with 0 surface value |
---|
| 430 | zs0 = z_slope_s(ji) * ( REAL(jk,wp) - 0.5_wp ) * h_i_1d(ji) * r1_nlay_i |
---|
| 431 | zs = zalpha(ji) * zs0 + ( 1._wp - zalpha(ji) ) * s_i_1d(ji) |
---|
| 432 | sz_i_1d(ji,jk) = MIN( rn_simax , MAX( zs , rn_simin ) ) |
---|
| 433 | END DO |
---|
| 434 | END DO |
---|
| 435 | ! |
---|
| 436 | DEALLOCATE( z_slope_s, zalpha ) |
---|
| 437 | |
---|
| 438 | ! !-------------------------------------------! |
---|
| 439 | CASE( 3 ) ! constant salinity with a fix profile ! (Schwarzacher (1959) multiyear salinity profile |
---|
| 440 | ! !-------------------------------------------! (mean = 2.30) |
---|
| 441 | ! |
---|
| 442 | s_i_1d(1:npti) = 2.30_wp |
---|
| 443 | ! |
---|
| 444 | !!gm cf remark in ice_var_salprof routine, CASE( 3 ) |
---|
| 445 | DO jk = 1, nlay_i |
---|
| 446 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
---|
| 447 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**( 0.407_wp / ( 0.573_wp + zargtemp ) ) ) ) |
---|
| 448 | DO ji = 1, npti |
---|
| 449 | sz_i_1d(ji,jk) = zsal |
---|
| 450 | END DO |
---|
| 451 | END DO |
---|
| 452 | ! |
---|
| 453 | END SELECT |
---|
| 454 | ! |
---|
| 455 | END SUBROUTINE ice_var_salprof1d |
---|
| 456 | |
---|
| 457 | |
---|
| 458 | SUBROUTINE ice_var_zapsmall |
---|
| 459 | !!------------------------------------------------------------------- |
---|
| 460 | !! *** ROUTINE ice_var_zapsmall *** |
---|
| 461 | !! |
---|
| 462 | !! ** Purpose : Remove too small sea ice areas and correct fluxes |
---|
| 463 | !!------------------------------------------------------------------- |
---|
| 464 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
| 465 | REAL(wp), DIMENSION(jpi,jpj) :: zswitch |
---|
| 466 | !!------------------------------------------------------------------- |
---|
| 467 | ! |
---|
| 468 | DO jl = 1, jpl !== loop over the categories ==! |
---|
| 469 | ! |
---|
[9448] | 470 | WHERE( a_i(:,:,jl) > epsi10 ) ; h_i(:,:,jl) = v_i(:,:,jl) / a_i(:,:,jl) |
---|
[8586] | 471 | ELSEWHERE ; h_i(:,:,jl) = 0._wp |
---|
| 472 | END WHERE |
---|
| 473 | ! |
---|
| 474 | WHERE( a_i(:,:,jl) < epsi10 .OR. v_i(:,:,jl) < epsi10 .OR. h_i(:,:,jl) < epsi10 ) ; zswitch(:,:) = 0._wp |
---|
| 475 | ELSEWHERE ; zswitch(:,:) = 1._wp |
---|
| 476 | END WHERE |
---|
[8813] | 477 | ! |
---|
[9943] | 478 | !----------------------------------------------------------------- |
---|
| 479 | ! Zap ice energy and use ocean heat to melt ice |
---|
| 480 | !----------------------------------------------------------------- |
---|
[8586] | 481 | DO jk = 1, nlay_i |
---|
| 482 | DO jj = 1 , jpj |
---|
| 483 | DO ji = 1 , jpi |
---|
| 484 | ! update exchanges with ocean |
---|
| 485 | hfx_res(ji,jj) = hfx_res(ji,jj) - (1._wp - zswitch(ji,jj) ) * e_i(ji,jj,jk,jl) * r1_rdtice ! W.m-2 <0 |
---|
| 486 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * zswitch(ji,jj) |
---|
| 487 | t_i(ji,jj,jk,jl) = t_i(ji,jj,jk,jl) * zswitch(ji,jj) + rt0 * ( 1._wp - zswitch(ji,jj) ) |
---|
| 488 | END DO |
---|
| 489 | END DO |
---|
| 490 | END DO |
---|
[8813] | 491 | ! |
---|
[9271] | 492 | DO jk = 1, nlay_s |
---|
| 493 | DO jj = 1 , jpj |
---|
| 494 | DO ji = 1 , jpi |
---|
| 495 | ! update exchanges with ocean |
---|
| 496 | hfx_res(ji,jj) = hfx_res(ji,jj) - (1._wp - zswitch(ji,jj) ) * e_s(ji,jj,jk,jl) * r1_rdtice ! W.m-2 <0 |
---|
| 497 | e_s(ji,jj,jk,jl) = e_s(ji,jj,jk,jl) * zswitch(ji,jj) |
---|
| 498 | t_s(ji,jj,jk,jl) = t_s(ji,jj,jk,jl) * zswitch(ji,jj) + rt0 * ( 1._wp - zswitch(ji,jj) ) |
---|
| 499 | END DO |
---|
| 500 | END DO |
---|
| 501 | END DO |
---|
| 502 | ! |
---|
[9943] | 503 | !----------------------------------------------------------------- |
---|
| 504 | ! zap ice and snow volume, add water and salt to ocean |
---|
| 505 | !----------------------------------------------------------------- |
---|
[8586] | 506 | DO jj = 1 , jpj |
---|
| 507 | DO ji = 1 , jpi |
---|
| 508 | ! update exchanges with ocean |
---|
[9935] | 509 | sfx_res(ji,jj) = sfx_res(ji,jj) + (1._wp - zswitch(ji,jj) ) * sv_i(ji,jj,jl) * rhoi * r1_rdtice |
---|
| 510 | wfx_res(ji,jj) = wfx_res(ji,jj) + (1._wp - zswitch(ji,jj) ) * v_i (ji,jj,jl) * rhoi * r1_rdtice |
---|
| 511 | wfx_res(ji,jj) = wfx_res(ji,jj) + (1._wp - zswitch(ji,jj) ) * v_s (ji,jj,jl) * rhos * r1_rdtice |
---|
[8813] | 512 | ! |
---|
[8586] | 513 | a_i (ji,jj,jl) = a_i (ji,jj,jl) * zswitch(ji,jj) |
---|
| 514 | v_i (ji,jj,jl) = v_i (ji,jj,jl) * zswitch(ji,jj) |
---|
| 515 | v_s (ji,jj,jl) = v_s (ji,jj,jl) * zswitch(ji,jj) |
---|
| 516 | t_su (ji,jj,jl) = t_su(ji,jj,jl) * zswitch(ji,jj) + t_bo(ji,jj) * ( 1._wp - zswitch(ji,jj) ) |
---|
| 517 | oa_i (ji,jj,jl) = oa_i(ji,jj,jl) * zswitch(ji,jj) |
---|
| 518 | sv_i (ji,jj,jl) = sv_i(ji,jj,jl) * zswitch(ji,jj) |
---|
[8813] | 519 | ! |
---|
[8586] | 520 | h_i (ji,jj,jl) = h_i (ji,jj,jl) * zswitch(ji,jj) |
---|
| 521 | h_s (ji,jj,jl) = h_s (ji,jj,jl) * zswitch(ji,jj) |
---|
[8813] | 522 | ! |
---|
[8637] | 523 | a_ip (ji,jj,jl) = a_ip (ji,jj,jl) * zswitch(ji,jj) |
---|
| 524 | v_ip (ji,jj,jl) = v_ip (ji,jj,jl) * zswitch(ji,jj) |
---|
[8813] | 525 | ! |
---|
[8586] | 526 | END DO |
---|
| 527 | END DO |
---|
[8813] | 528 | ! |
---|
[8586] | 529 | END DO |
---|
| 530 | |
---|
| 531 | ! to be sure that at_i is the sum of a_i(jl) |
---|
| 532 | at_i (:,:) = SUM( a_i(:,:,:), dim=3 ) |
---|
| 533 | vt_i (:,:) = SUM( v_i(:,:,:), dim=3 ) |
---|
| 534 | |
---|
| 535 | ! open water = 1 if at_i=0 |
---|
| 536 | WHERE( at_i(:,:) == 0._wp ) ato_i(:,:) = 1._wp |
---|
| 537 | ! |
---|
| 538 | END SUBROUTINE ice_var_zapsmall |
---|
| 539 | |
---|
| 540 | |
---|
[11081] | 541 | SUBROUTINE ice_var_zapneg( pdt, pato_i, pv_i, pv_s, psv_i, poa_i, pa_i, pa_ip, pv_ip, pe_s, pe_i ) |
---|
[9943] | 542 | !!------------------------------------------------------------------- |
---|
| 543 | !! *** ROUTINE ice_var_zapneg *** |
---|
| 544 | !! |
---|
| 545 | !! ** Purpose : Remove negative sea ice fields and correct fluxes |
---|
| 546 | !!------------------------------------------------------------------- |
---|
[11081] | 547 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[9943] | 548 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pato_i ! open water area |
---|
| 549 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i ! ice volume |
---|
| 550 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_s ! snw volume |
---|
| 551 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: psv_i ! salt content |
---|
| 552 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: poa_i ! age content |
---|
| 553 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_i ! ice concentration |
---|
| 554 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
---|
| 555 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
---|
| 556 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content |
---|
| 557 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content |
---|
[11081] | 558 | ! |
---|
| 559 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
| 560 | REAL(wp) :: z1_dt |
---|
[9943] | 561 | !!------------------------------------------------------------------- |
---|
| 562 | ! |
---|
[11081] | 563 | z1_dt = 1._wp / pdt |
---|
[9943] | 564 | ! |
---|
| 565 | DO jl = 1, jpl !== loop over the categories ==! |
---|
| 566 | ! |
---|
[11081] | 567 | ! make sure a_i=0 where v_i<=0 |
---|
| 568 | WHERE( pv_i(:,:,:) <= 0._wp ) pa_i(:,:,:) = 0._wp |
---|
| 569 | |
---|
[9943] | 570 | !---------------------------------------- |
---|
| 571 | ! zap ice energy and send it to the ocean |
---|
| 572 | !---------------------------------------- |
---|
| 573 | DO jk = 1, nlay_i |
---|
| 574 | DO jj = 1 , jpj |
---|
| 575 | DO ji = 1 , jpi |
---|
[11081] | 576 | IF( pe_i(ji,jj,jk,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
| 577 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_i(ji,jj,jk,jl) * z1_dt ! W.m-2 >0 |
---|
[9943] | 578 | pe_i(ji,jj,jk,jl) = 0._wp |
---|
| 579 | ENDIF |
---|
| 580 | END DO |
---|
| 581 | END DO |
---|
| 582 | END DO |
---|
| 583 | ! |
---|
| 584 | DO jk = 1, nlay_s |
---|
| 585 | DO jj = 1 , jpj |
---|
| 586 | DO ji = 1 , jpi |
---|
[11081] | 587 | IF( pe_s(ji,jj,jk,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
| 588 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_s(ji,jj,jk,jl) * z1_dt ! W.m-2 <0 |
---|
[9943] | 589 | pe_s(ji,jj,jk,jl) = 0._wp |
---|
| 590 | ENDIF |
---|
| 591 | END DO |
---|
| 592 | END DO |
---|
| 593 | END DO |
---|
| 594 | ! |
---|
| 595 | !----------------------------------------------------- |
---|
| 596 | ! zap ice and snow volume, add water and salt to ocean |
---|
| 597 | !----------------------------------------------------- |
---|
| 598 | DO jj = 1 , jpj |
---|
| 599 | DO ji = 1 , jpi |
---|
[11081] | 600 | IF( pv_i(ji,jj,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
| 601 | wfx_res(ji,jj) = wfx_res(ji,jj) + pv_i (ji,jj,jl) * rhoi * z1_dt |
---|
[9943] | 602 | pv_i (ji,jj,jl) = 0._wp |
---|
| 603 | ENDIF |
---|
[11081] | 604 | IF( pv_s(ji,jj,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
| 605 | wfx_res(ji,jj) = wfx_res(ji,jj) + pv_s (ji,jj,jl) * rhos * z1_dt |
---|
[9943] | 606 | pv_s (ji,jj,jl) = 0._wp |
---|
| 607 | ENDIF |
---|
[11081] | 608 | IF( psv_i(ji,jj,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
| 609 | sfx_res(ji,jj) = sfx_res(ji,jj) + psv_i(ji,jj,jl) * rhoi * z1_dt |
---|
[9943] | 610 | psv_i (ji,jj,jl) = 0._wp |
---|
| 611 | ENDIF |
---|
| 612 | END DO |
---|
| 613 | END DO |
---|
| 614 | ! |
---|
| 615 | END DO |
---|
| 616 | ! |
---|
[10413] | 617 | WHERE( pato_i(:,:) < 0._wp ) pato_i(:,:) = 0._wp |
---|
| 618 | WHERE( poa_i (:,:,:) < 0._wp ) poa_i (:,:,:) = 0._wp |
---|
| 619 | WHERE( pa_i (:,:,:) < 0._wp ) pa_i (:,:,:) = 0._wp |
---|
| 620 | WHERE( pa_ip (:,:,:) < 0._wp ) pa_ip (:,:,:) = 0._wp |
---|
| 621 | WHERE( pv_ip (:,:,:) < 0._wp ) pv_ip (:,:,:) = 0._wp ! in theory one should change wfx_pnd(-) and wfx_sum(+) |
---|
| 622 | ! but it does not change conservation, so keep it this way is ok |
---|
| 623 | ! |
---|
[9943] | 624 | END SUBROUTINE ice_var_zapneg |
---|
| 625 | |
---|
[11081] | 626 | |
---|
| 627 | SUBROUTINE ice_var_roundoff( pa_i, pv_i, pv_s, psv_i, poa_i, pa_ip, pv_ip, pe_s, pe_i ) |
---|
| 628 | !!------------------------------------------------------------------- |
---|
| 629 | !! *** ROUTINE ice_var_roundoff *** |
---|
| 630 | !! |
---|
| 631 | !! ** Purpose : Remove negative sea ice values arising from roundoff errors |
---|
| 632 | !!------------------------------------------------------------------- |
---|
| 633 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pa_i ! ice concentration |
---|
| 634 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_i ! ice volume |
---|
| 635 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_s ! snw volume |
---|
| 636 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: psv_i ! salt content |
---|
| 637 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: poa_i ! age content |
---|
| 638 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
---|
| 639 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
---|
| 640 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pe_s ! snw heat content |
---|
| 641 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pe_i ! ice heat content |
---|
| 642 | !!------------------------------------------------------------------- |
---|
| 643 | ! |
---|
| 644 | WHERE( pa_i (1:npti,:) < 0._wp .AND. pa_i (1:npti,:) > -epsi10 ) pa_i (1:npti,:) = 0._wp ! a_i must be >= 0 |
---|
| 645 | WHERE( pv_i (1:npti,:) < 0._wp .AND. pv_i (1:npti,:) > -epsi10 ) pv_i (1:npti,:) = 0._wp ! v_i must be >= 0 |
---|
| 646 | WHERE( pv_s (1:npti,:) < 0._wp .AND. pv_s (1:npti,:) > -epsi10 ) pv_s (1:npti,:) = 0._wp ! v_s must be >= 0 |
---|
| 647 | WHERE( psv_i(1:npti,:) < 0._wp .AND. psv_i(1:npti,:) > -epsi10 ) psv_i(1:npti,:) = 0._wp ! sv_i must be >= 0 |
---|
| 648 | WHERE( poa_i(1:npti,:) < 0._wp .AND. poa_i(1:npti,:) > -epsi10 ) poa_i(1:npti,:) = 0._wp ! oa_i must be >= 0 |
---|
| 649 | WHERE( pe_i (1:npti,:,:) < 0._wp .AND. pe_i (1:npti,:,:) > -epsi06 ) pe_i (1:npti,:,:) = 0._wp ! e_i must be >= 0 |
---|
| 650 | WHERE( pe_s (1:npti,:,:) < 0._wp .AND. pe_s (1:npti,:,:) > -epsi06 ) pe_s (1:npti,:,:) = 0._wp ! e_s must be >= 0 |
---|
| 651 | IF ( ln_pnd_H12 ) THEN |
---|
| 652 | WHERE( pa_ip(1:npti,:) < 0._wp .AND. pa_ip(1:npti,:) > -epsi10 ) pa_ip(1:npti,:) = 0._wp ! a_ip must be >= 0 |
---|
| 653 | WHERE( pv_ip(1:npti,:) < 0._wp .AND. pv_ip(1:npti,:) > -epsi10 ) pv_ip(1:npti,:) = 0._wp ! v_ip must be >= 0 |
---|
| 654 | ENDIF |
---|
| 655 | ! |
---|
| 656 | END SUBROUTINE ice_var_roundoff |
---|
[9943] | 657 | |
---|
[11081] | 658 | |
---|
[8586] | 659 | SUBROUTINE ice_var_itd( zhti, zhts, zati, zh_i, zh_s, za_i ) |
---|
| 660 | !!------------------------------------------------------------------- |
---|
| 661 | !! *** ROUTINE ice_var_itd *** |
---|
| 662 | !! |
---|
| 663 | !! ** Purpose : converting 1-cat ice to multiple ice categories |
---|
| 664 | !! |
---|
| 665 | !! ice thickness distribution follows a gaussian law |
---|
| 666 | !! around the concentration of the most likely ice thickness |
---|
| 667 | !! (similar as iceistate.F90) |
---|
| 668 | !! |
---|
| 669 | !! ** Method: Iterative procedure |
---|
| 670 | !! |
---|
| 671 | !! 1) Try to fill the jpl ice categories (bounds hi_max(0:jpl)) with a gaussian |
---|
| 672 | !! |
---|
| 673 | !! 2) Check whether the distribution conserves area and volume, positivity and |
---|
| 674 | !! category boundaries |
---|
| 675 | !! |
---|
| 676 | !! 3) If not (input ice is too thin), the last category is empty and |
---|
| 677 | !! the number of categories is reduced (jpl-1) |
---|
| 678 | !! |
---|
| 679 | !! 4) Iterate until ok (SUM(itest(:) = 4) |
---|
| 680 | !! |
---|
| 681 | !! ** Arguments : zhti: 1-cat ice thickness |
---|
| 682 | !! zhts: 1-cat snow depth |
---|
| 683 | !! zati: 1-cat ice concentration |
---|
| 684 | !! |
---|
| 685 | !! ** Output : jpl-cat |
---|
| 686 | !! |
---|
| 687 | !! (Example of application: BDY forcings when input are cell averaged) |
---|
| 688 | !!------------------------------------------------------------------- |
---|
| 689 | INTEGER :: ji, jk, jl ! dummy loop indices |
---|
[8813] | 690 | INTEGER :: idim, i_fill, jl0 |
---|
[8586] | 691 | REAL(wp) :: zarg, zV, zconv, zdh, zdv |
---|
[11081] | 692 | REAL(wp), DIMENSION(:), INTENT(in) :: zhti, zhts, zati ! input ice/snow variables |
---|
| 693 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: zh_i, zh_s, za_i ! output ice/snow variables |
---|
[8586] | 694 | INTEGER , DIMENSION(4) :: itest |
---|
| 695 | !!------------------------------------------------------------------- |
---|
| 696 | ! |
---|
| 697 | ! ---------------------------------------- |
---|
| 698 | ! distribution over the jpl ice categories |
---|
| 699 | ! ---------------------------------------- |
---|
| 700 | ! a gaussian distribution for ice concentration is used |
---|
| 701 | ! then we check whether the distribution fullfills |
---|
| 702 | ! volume and area conservation, positivity and ice categories bounds |
---|
[8813] | 703 | idim = SIZE( zhti , 1 ) |
---|
| 704 | zh_i(1:idim,1:jpl) = 0._wp |
---|
| 705 | zh_s(1:idim,1:jpl) = 0._wp |
---|
| 706 | za_i(1:idim,1:jpl) = 0._wp |
---|
| 707 | ! |
---|
| 708 | DO ji = 1, idim |
---|
| 709 | ! |
---|
[8586] | 710 | IF( zhti(ji) > 0._wp ) THEN |
---|
[8813] | 711 | ! |
---|
[8586] | 712 | ! find which category (jl0) the input ice thickness falls into |
---|
| 713 | jl0 = jpl |
---|
| 714 | DO jl = 1, jpl |
---|
| 715 | IF ( ( zhti(ji) >= hi_max(jl-1) ) .AND. ( zhti(ji) < hi_max(jl) ) ) THEN |
---|
| 716 | jl0 = jl |
---|
| 717 | CYCLE |
---|
| 718 | ENDIF |
---|
| 719 | END DO |
---|
[8813] | 720 | ! |
---|
[8586] | 721 | itest(:) = 0 |
---|
| 722 | i_fill = jpl + 1 !------------------------------------ |
---|
| 723 | DO WHILE ( ( SUM( itest(:) ) /= 4 ) .AND. ( i_fill >= 2 ) ) ! iterative loop on i_fill categories |
---|
| 724 | ! !------------------------------------ |
---|
| 725 | i_fill = i_fill - 1 |
---|
| 726 | ! |
---|
| 727 | zh_i(ji,1:jpl) = 0._wp |
---|
[8813] | 728 | za_i(ji,1:jpl) = 0._wp |
---|
| 729 | itest(:) = 0 |
---|
| 730 | ! |
---|
[8586] | 731 | IF ( i_fill == 1 ) THEN !-- case very thin ice: fill only category 1 |
---|
| 732 | zh_i(ji,1) = zhti(ji) |
---|
| 733 | za_i (ji,1) = zati (ji) |
---|
| 734 | ELSE !-- case ice is thicker: fill categories >1 |
---|
| 735 | ! thickness |
---|
| 736 | DO jl = 1, i_fill - 1 |
---|
| 737 | zh_i(ji,jl) = hi_mean(jl) |
---|
| 738 | END DO |
---|
[8813] | 739 | ! |
---|
[8586] | 740 | ! concentration |
---|
| 741 | za_i(ji,jl0) = zati(ji) / SQRT(REAL(jpl)) |
---|
| 742 | DO jl = 1, i_fill - 1 |
---|
| 743 | IF ( jl /= jl0 ) THEN |
---|
| 744 | zarg = ( zh_i(ji,jl) - zhti(ji) ) / ( zhti(ji) * 0.5_wp ) |
---|
| 745 | za_i(ji,jl) = za_i (ji,jl0) * EXP(-zarg**2) |
---|
| 746 | ENDIF |
---|
| 747 | END DO |
---|
[8813] | 748 | ! |
---|
[8586] | 749 | ! last category |
---|
| 750 | za_i(ji,i_fill) = zati(ji) - SUM( za_i(ji,1:i_fill-1) ) |
---|
| 751 | zV = SUM( za_i(ji,1:i_fill-1) * zh_i(ji,1:i_fill-1) ) |
---|
| 752 | zh_i(ji,i_fill) = ( zhti(ji) * zati(ji) - zV ) / MAX( za_i(ji,i_fill), epsi10 ) |
---|
[8813] | 753 | ! |
---|
[8885] | 754 | ! correction if concentration of upper cat is greater than lower cat |
---|
| 755 | ! (it should be a gaussian around jl0 but sometimes it is not) |
---|
[8586] | 756 | IF ( jl0 /= jpl ) THEN |
---|
| 757 | DO jl = jpl, jl0+1, -1 |
---|
| 758 | IF ( za_i(ji,jl) > za_i(ji,jl-1) ) THEN |
---|
| 759 | zdv = zh_i(ji,jl) * za_i(ji,jl) |
---|
| 760 | zh_i(ji,jl ) = 0._wp |
---|
| 761 | za_i (ji,jl ) = 0._wp |
---|
| 762 | za_i (ji,1:jl-1) = za_i(ji,1:jl-1) + zdv / MAX( REAL(jl-1) * zhti(ji), epsi10 ) |
---|
| 763 | END IF |
---|
[8813] | 764 | END DO |
---|
[8586] | 765 | ENDIF |
---|
[8813] | 766 | ! |
---|
[8586] | 767 | ENDIF |
---|
[8813] | 768 | ! |
---|
[8586] | 769 | ! Compatibility tests |
---|
| 770 | zconv = ABS( zati(ji) - SUM( za_i(ji,1:jpl) ) ) |
---|
[8813] | 771 | IF ( zconv < epsi06 ) itest(1) = 1 ! Test 1: area conservation |
---|
| 772 | ! |
---|
[8586] | 773 | zconv = ABS( zhti(ji)*zati(ji) - SUM( za_i(ji,1:jpl)*zh_i(ji,1:jpl) ) ) |
---|
[8813] | 774 | IF ( zconv < epsi06 ) itest(2) = 1 ! Test 2: volume conservation |
---|
| 775 | ! |
---|
| 776 | IF ( zh_i(ji,i_fill) >= hi_max(i_fill-1) ) itest(3) = 1 ! Test 3: thickness of the last category is in-bounds ? |
---|
| 777 | ! |
---|
[8586] | 778 | itest(4) = 1 |
---|
| 779 | DO jl = 1, i_fill |
---|
| 780 | IF ( za_i(ji,jl) < 0._wp ) itest(4) = 0 ! Test 4: positivity of ice concentrations |
---|
| 781 | END DO |
---|
| 782 | ! !---------------------------- |
---|
| 783 | END DO ! end iteration on categories |
---|
[8813] | 784 | ! !---------------------------- |
---|
[8586] | 785 | ENDIF |
---|
| 786 | END DO |
---|
| 787 | |
---|
| 788 | ! Add Snow in each category where za_i is not 0 |
---|
| 789 | DO jl = 1, jpl |
---|
[8813] | 790 | DO ji = 1, idim |
---|
[8586] | 791 | IF( za_i(ji,jl) > 0._wp ) THEN |
---|
| 792 | zh_s(ji,jl) = zh_i(ji,jl) * ( zhts(ji) / zhti(ji) ) |
---|
| 793 | ! In case snow load is in excess that would lead to transformation from snow to ice |
---|
| 794 | ! Then, transfer the snow excess into the ice (different from icethd_dh) |
---|
[9935] | 795 | zdh = MAX( 0._wp, ( rhos * zh_s(ji,jl) + ( rhoi - rau0 ) * zh_i(ji,jl) ) * r1_rau0 ) |
---|
[8586] | 796 | ! recompute h_i, h_s avoiding out of bounds values |
---|
| 797 | zh_i(ji,jl) = MIN( hi_max(jl), zh_i(ji,jl) + zdh ) |
---|
[9935] | 798 | zh_s(ji,jl) = MAX( 0._wp, zh_s(ji,jl) - zdh * rhoi * r1_rhos ) |
---|
[8586] | 799 | ENDIF |
---|
| 800 | END DO |
---|
| 801 | END DO |
---|
| 802 | ! |
---|
[8813] | 803 | END SUBROUTINE ice_var_itd |
---|
[8586] | 804 | |
---|
| 805 | |
---|
[8813] | 806 | SUBROUTINE ice_var_itd2( zhti, zhts, zati, zh_i, zh_s, za_i ) |
---|
[8586] | 807 | !!------------------------------------------------------------------- |
---|
[8813] | 808 | !! *** ROUTINE ice_var_itd2 *** |
---|
| 809 | !! |
---|
| 810 | !! ** Purpose : converting N-cat ice to jpl ice categories |
---|
| 811 | !! |
---|
| 812 | !! ice thickness distribution follows a gaussian law |
---|
| 813 | !! around the concentration of the most likely ice thickness |
---|
| 814 | !! (similar as iceistate.F90) |
---|
| 815 | !! |
---|
| 816 | !! ** Method: Iterative procedure |
---|
| 817 | !! |
---|
| 818 | !! 1) Fill ice cat that correspond to input thicknesses |
---|
| 819 | !! Find the lowest(jlmin) and highest(jlmax) cat that are filled |
---|
| 820 | !! |
---|
| 821 | !! 2) Expand the filling to the cat jlmin-1 and jlmax+1 |
---|
[11081] | 822 | !! by removing 25% ice area from jlmin and jlmax (resp.) |
---|
[8813] | 823 | !! |
---|
| 824 | !! 3) Expand the filling to the empty cat between jlmin and jlmax |
---|
| 825 | !! by a) removing 25% ice area from the lower cat (ascendant loop jlmin=>jlmax) |
---|
| 826 | !! b) removing 25% ice area from the higher cat (descendant loop jlmax=>jlmin) |
---|
| 827 | !! |
---|
| 828 | !! ** Arguments : zhti: N-cat ice thickness |
---|
| 829 | !! zhts: N-cat snow depth |
---|
| 830 | !! zati: N-cat ice concentration |
---|
| 831 | !! |
---|
| 832 | !! ** Output : jpl-cat |
---|
| 833 | !! |
---|
| 834 | !! (Example of application: BDY forcings when inputs have N-cat /= jpl) |
---|
| 835 | !!------------------------------------------------------------------- |
---|
| 836 | INTEGER :: ji, jl, jl1, jl2 ! dummy loop indices |
---|
| 837 | INTEGER :: idim, icat |
---|
[10589] | 838 | REAL(wp), PARAMETER :: ztrans = 0.25_wp |
---|
[8813] | 839 | REAL(wp), DIMENSION(:,:), INTENT(in) :: zhti, zhts, zati ! input ice/snow variables |
---|
| 840 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: zh_i, zh_s, za_i ! output ice/snow variables |
---|
| 841 | INTEGER , DIMENSION(:,:), ALLOCATABLE :: jlfil, jlfil2 |
---|
| 842 | INTEGER , DIMENSION(:) , ALLOCATABLE :: jlmax, jlmin |
---|
| 843 | !!------------------------------------------------------------------- |
---|
| 844 | ! |
---|
| 845 | idim = SIZE( zhti, 1 ) |
---|
| 846 | icat = SIZE( zhti, 2 ) |
---|
| 847 | ! |
---|
| 848 | ALLOCATE( jlfil(idim,jpl), jlfil2(idim,jpl) ) ! allocate arrays |
---|
| 849 | ALLOCATE( jlmin(idim), jlmax(idim) ) |
---|
| 850 | |
---|
| 851 | ! --- initialize output fields to 0 --- ! |
---|
| 852 | zh_i(1:idim,1:jpl) = 0._wp |
---|
| 853 | zh_s(1:idim,1:jpl) = 0._wp |
---|
| 854 | za_i(1:idim,1:jpl) = 0._wp |
---|
| 855 | ! |
---|
| 856 | ! --- fill the categories --- ! |
---|
| 857 | ! find where cat-input = cat-output and fill cat-output fields |
---|
| 858 | jlmax(:) = 0 |
---|
| 859 | jlmin(:) = 999 |
---|
| 860 | jlfil(:,:) = 0 |
---|
| 861 | DO jl1 = 1, jpl |
---|
| 862 | DO jl2 = 1, icat |
---|
| 863 | DO ji = 1, idim |
---|
| 864 | IF( hi_max(jl1-1) <= zhti(ji,jl2) .AND. hi_max(jl1) > zhti(ji,jl2) ) THEN |
---|
| 865 | ! fill the right category |
---|
| 866 | zh_i(ji,jl1) = zhti(ji,jl2) |
---|
| 867 | zh_s(ji,jl1) = zhts(ji,jl2) |
---|
| 868 | za_i(ji,jl1) = zati(ji,jl2) |
---|
| 869 | ! record categories that are filled |
---|
| 870 | jlmax(ji) = MAX( jlmax(ji), jl1 ) |
---|
| 871 | jlmin(ji) = MIN( jlmin(ji), jl1 ) |
---|
| 872 | jlfil(ji,jl1) = jl1 |
---|
| 873 | ENDIF |
---|
| 874 | END DO |
---|
| 875 | END DO |
---|
| 876 | END DO |
---|
| 877 | ! |
---|
| 878 | ! --- fill the gaps between categories --- ! |
---|
| 879 | ! transfer from categories filled at the previous step to the empty ones in between |
---|
| 880 | DO ji = 1, idim |
---|
| 881 | jl1 = jlmin(ji) |
---|
| 882 | jl2 = jlmax(ji) |
---|
| 883 | IF( jl1 > 1 ) THEN |
---|
| 884 | ! fill the lower cat (jl1-1) |
---|
| 885 | za_i(ji,jl1-1) = ztrans * za_i(ji,jl1) |
---|
| 886 | zh_i(ji,jl1-1) = hi_mean(jl1-1) |
---|
| 887 | ! remove from cat jl1 |
---|
| 888 | za_i(ji,jl1 ) = ( 1._wp - ztrans ) * za_i(ji,jl1) |
---|
| 889 | ENDIF |
---|
| 890 | IF( jl2 < jpl ) THEN |
---|
| 891 | ! fill the upper cat (jl2+1) |
---|
| 892 | za_i(ji,jl2+1) = ztrans * za_i(ji,jl2) |
---|
| 893 | zh_i(ji,jl2+1) = hi_mean(jl2+1) |
---|
| 894 | ! remove from cat jl2 |
---|
| 895 | za_i(ji,jl2 ) = ( 1._wp - ztrans ) * za_i(ji,jl2) |
---|
| 896 | ENDIF |
---|
| 897 | END DO |
---|
| 898 | ! |
---|
| 899 | jlfil2(:,:) = jlfil(:,:) |
---|
| 900 | ! fill categories from low to high |
---|
| 901 | DO jl = 2, jpl-1 |
---|
| 902 | DO ji = 1, idim |
---|
| 903 | IF( jlfil(ji,jl-1) /= 0 .AND. jlfil(ji,jl) == 0 ) THEN |
---|
| 904 | ! fill high |
---|
| 905 | za_i(ji,jl) = ztrans * za_i(ji,jl-1) |
---|
| 906 | zh_i(ji,jl) = hi_mean(jl) |
---|
| 907 | jlfil(ji,jl) = jl |
---|
| 908 | ! remove low |
---|
| 909 | za_i(ji,jl-1) = ( 1._wp - ztrans ) * za_i(ji,jl-1) |
---|
| 910 | ENDIF |
---|
| 911 | END DO |
---|
| 912 | END DO |
---|
| 913 | ! |
---|
| 914 | ! fill categories from high to low |
---|
| 915 | DO jl = jpl-1, 2, -1 |
---|
| 916 | DO ji = 1, idim |
---|
| 917 | IF( jlfil2(ji,jl+1) /= 0 .AND. jlfil2(ji,jl) == 0 ) THEN |
---|
| 918 | ! fill low |
---|
| 919 | za_i(ji,jl) = za_i(ji,jl) + ztrans * za_i(ji,jl+1) |
---|
| 920 | zh_i(ji,jl) = hi_mean(jl) |
---|
| 921 | jlfil2(ji,jl) = jl |
---|
| 922 | ! remove high |
---|
| 923 | za_i(ji,jl+1) = ( 1._wp - ztrans ) * za_i(ji,jl+1) |
---|
| 924 | ENDIF |
---|
| 925 | END DO |
---|
| 926 | END DO |
---|
| 927 | ! |
---|
| 928 | DEALLOCATE( jlfil, jlfil2 ) ! deallocate arrays |
---|
| 929 | DEALLOCATE( jlmin, jlmax ) |
---|
| 930 | ! |
---|
| 931 | END SUBROUTINE ice_var_itd2 |
---|
| 932 | |
---|
| 933 | |
---|
| 934 | SUBROUTINE ice_var_bv |
---|
| 935 | !!------------------------------------------------------------------- |
---|
[8586] | 936 | !! *** ROUTINE ice_var_bv *** |
---|
| 937 | !! |
---|
| 938 | !! ** Purpose : computes mean brine volume (%) in sea ice |
---|
| 939 | !! |
---|
| 940 | !! ** Method : e = - 0.054 * S (ppt) / T (C) |
---|
| 941 | !! |
---|
| 942 | !! References : Vancoppenolle et al., JGR, 2007 |
---|
| 943 | !!------------------------------------------------------------------- |
---|
| 944 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
| 945 | !!------------------------------------------------------------------- |
---|
| 946 | ! |
---|
| 947 | !!gm I prefere to use WHERE / ELSEWHERE to set it to zero only where needed <<<=== to be done |
---|
| 948 | !! instead of setting everything to zero as just below |
---|
| 949 | bv_i (:,:,:) = 0._wp |
---|
| 950 | DO jl = 1, jpl |
---|
| 951 | DO jk = 1, nlay_i |
---|
| 952 | WHERE( t_i(:,:,jk,jl) < rt0 - epsi10 ) |
---|
[9935] | 953 | bv_i(:,:,jl) = bv_i(:,:,jl) - rTmlt * sz_i(:,:,jk,jl) * r1_nlay_i / ( t_i(:,:,jk,jl) - rt0 ) |
---|
[8586] | 954 | END WHERE |
---|
| 955 | END DO |
---|
| 956 | END DO |
---|
| 957 | WHERE( vt_i(:,:) > epsi20 ) ; bvm_i(:,:) = SUM( bv_i(:,:,:) * v_i(:,:,:) , dim=3 ) / vt_i(:,:) |
---|
| 958 | ELSEWHERE ; bvm_i(:,:) = 0._wp |
---|
| 959 | END WHERE |
---|
| 960 | ! |
---|
| 961 | END SUBROUTINE ice_var_bv |
---|
| 962 | |
---|
| 963 | |
---|
[8984] | 964 | SUBROUTINE ice_var_enthalpy |
---|
| 965 | !!------------------------------------------------------------------- |
---|
| 966 | !! *** ROUTINE ice_var_enthalpy *** |
---|
| 967 | !! |
---|
| 968 | !! ** Purpose : Computes sea ice energy of melting q_i (J.m-3) from temperature |
---|
| 969 | !! |
---|
| 970 | !! ** Method : Formula (Bitz and Lipscomb, 1999) |
---|
| 971 | !!------------------------------------------------------------------- |
---|
| 972 | INTEGER :: ji, jk ! dummy loop indices |
---|
| 973 | REAL(wp) :: ztmelts ! local scalar |
---|
| 974 | !!------------------------------------------------------------------- |
---|
| 975 | ! |
---|
| 976 | DO jk = 1, nlay_i ! Sea ice energy of melting |
---|
| 977 | DO ji = 1, npti |
---|
[9935] | 978 | ztmelts = - rTmlt * sz_i_1d(ji,jk) |
---|
[9888] | 979 | t_i_1d(ji,jk) = MIN( t_i_1d(ji,jk), ztmelts + rt0 ) ! Force t_i_1d to be lower than melting point => likely conservation issue |
---|
[8984] | 980 | ! (sometimes zdf scheme produces abnormally high temperatures) |
---|
[9935] | 981 | e_i_1d(ji,jk) = rhoi * ( rcpi * ( ztmelts - ( t_i_1d(ji,jk) - rt0 ) ) & |
---|
| 982 | & + rLfus * ( 1._wp - ztmelts / ( t_i_1d(ji,jk) - rt0 ) ) & |
---|
| 983 | & - rcp * ztmelts ) |
---|
[8984] | 984 | END DO |
---|
| 985 | END DO |
---|
| 986 | DO jk = 1, nlay_s ! Snow energy of melting |
---|
| 987 | DO ji = 1, npti |
---|
[9935] | 988 | e_s_1d(ji,jk) = rhos * ( rcpi * ( rt0 - t_s_1d(ji,jk) ) + rLfus ) |
---|
[8984] | 989 | END DO |
---|
| 990 | END DO |
---|
| 991 | ! |
---|
| 992 | END SUBROUTINE ice_var_enthalpy |
---|
| 993 | |
---|
[10332] | 994 | FUNCTION ice_var_sshdyn(pssh, psnwice_mass, psnwice_mass_b) |
---|
| 995 | !!--------------------------------------------------------------------- |
---|
[10415] | 996 | !! *** ROUTINE ice_var_sshdyn *** |
---|
[10332] | 997 | !! |
---|
| 998 | !! ** Purpose : compute the equivalent ssh in lead when sea ice is embedded |
---|
| 999 | !! |
---|
| 1000 | !! ** Method : ssh_lead = ssh + (Mice + Msnow) / rau0 |
---|
| 1001 | !! |
---|
| 1002 | !! ** Reference : Jean-Michel Campin, John Marshall, David Ferreira, |
---|
| 1003 | !! Sea ice-ocean coupling using a rescaled vertical coordinate z*, |
---|
| 1004 | !! Ocean Modelling, Volume 24, Issues 1-2, 2008 |
---|
| 1005 | !!---------------------------------------------------------------------- |
---|
| 1006 | ! |
---|
| 1007 | ! input |
---|
| 1008 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pssh !: ssh [m] |
---|
| 1009 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psnwice_mass !: mass of snow and ice at current ice time step [Kg/m2] |
---|
| 1010 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psnwice_mass_b !: mass of snow and ice at previous ice time step [Kg/m2] |
---|
| 1011 | ! |
---|
| 1012 | ! output |
---|
| 1013 | REAL(wp), DIMENSION(jpi,jpj) :: ice_var_sshdyn ! equivalent ssh in lead [m] |
---|
| 1014 | ! |
---|
| 1015 | ! temporary |
---|
| 1016 | REAL(wp) :: zintn, zintb ! time interpolation weights [] |
---|
| 1017 | REAL(wp), DIMENSION(jpi,jpj) :: zsnwiceload ! snow and ice load [m] |
---|
| 1018 | ! |
---|
| 1019 | ! compute ice load used to define the equivalent ssh in lead |
---|
| 1020 | IF( ln_ice_embd ) THEN |
---|
| 1021 | ! |
---|
| 1022 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[n/nn_fsbc], n=0,nn_fsbc-1} |
---|
| 1023 | ! = (1/nn_fsbc)^2 * {SUM[n] , n=0,nn_fsbc-1} |
---|
| 1024 | zintn = REAL( nn_fsbc - 1 ) / REAL( nn_fsbc ) * 0.5_wp |
---|
| 1025 | ! |
---|
| 1026 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[1-n/nn_fsbc], n=0,nn_fsbc-1} |
---|
| 1027 | ! = (1/nn_fsbc)^2 * (nn_fsbc^2 - {SUM[n], n=0,nn_fsbc-1}) |
---|
| 1028 | zintb = REAL( nn_fsbc + 1 ) / REAL( nn_fsbc ) * 0.5_wp |
---|
| 1029 | ! |
---|
| 1030 | zsnwiceload(:,:) = ( zintn * psnwice_mass(:,:) + zintb * psnwice_mass_b(:,:) ) * r1_rau0 |
---|
| 1031 | ! |
---|
| 1032 | ELSE |
---|
| 1033 | zsnwiceload(:,:) = 0.0_wp |
---|
| 1034 | ENDIF |
---|
| 1035 | ! compute equivalent ssh in lead |
---|
| 1036 | ice_var_sshdyn(:,:) = pssh(:,:) + zsnwiceload(:,:) |
---|
| 1037 | ! |
---|
| 1038 | END FUNCTION ice_var_sshdyn |
---|
| 1039 | |
---|
| 1040 | |
---|
[8586] | 1041 | #else |
---|
| 1042 | !!---------------------------------------------------------------------- |
---|
[9570] | 1043 | !! Default option Dummy module NO SI3 sea-ice model |
---|
[8586] | 1044 | !!---------------------------------------------------------------------- |
---|
| 1045 | #endif |
---|
| 1046 | |
---|
| 1047 | !!====================================================================== |
---|
| 1048 | END MODULE icevar |
---|