[1] | 1 | MODULE diffusion_e_mod |
---|
| 2 | |
---|
| 3 | !------------------------------------------------------------------------------! |
---|
[484] | 4 | ! Current revisions: |
---|
[1] | 5 | ! ----------------- |
---|
[1001] | 6 | ! most arrays comunicated by module instead of parameter list |
---|
[98] | 7 | ! |
---|
| 8 | ! Former revisions: |
---|
| 9 | ! ----------------- |
---|
| 10 | ! $Id: diffusion_e.f90 1001 2012-09-13 14:08:46Z raasch $ |
---|
| 11 | ! |
---|
[826] | 12 | ! 825 2012-02-19 03:03:44Z raasch |
---|
| 13 | ! wang_collision_kernel renamed wang_kernel |
---|
| 14 | ! |
---|
[791] | 15 | ! 790 2011-11-29 03:11:20Z raasch |
---|
| 16 | ! diss is also calculated in case that the Wang kernel is used |
---|
| 17 | ! |
---|
[668] | 18 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
---|
| 19 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
---|
| 20 | ! |
---|
[98] | 21 | ! 97 2007-06-21 08:23:15Z raasch |
---|
[94] | 22 | ! Adjustment of mixing length calculation for the ocean version. zw added to |
---|
| 23 | ! argument list. |
---|
| 24 | ! This is also a bugfix, because the height above the topography is now |
---|
| 25 | ! used instead of the height above level k=0. |
---|
[97] | 26 | ! theta renamed var, dpt_dz renamed dvar_dz, +new argument var_reference |
---|
| 27 | ! use_pt_reference renamed use_reference |
---|
[1] | 28 | ! |
---|
[77] | 29 | ! 65 2007-03-13 12:11:43Z raasch |
---|
| 30 | ! Reference temperature pt_reference can be used in buoyancy term |
---|
| 31 | ! |
---|
[39] | 32 | ! 20 2007-02-26 00:12:32Z raasch |
---|
| 33 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
---|
| 34 | ! Calculation extended for gridpoint nzt |
---|
| 35 | ! |
---|
[3] | 36 | ! RCS Log replace by Id keyword, revision history cleaned up |
---|
| 37 | ! |
---|
[1] | 38 | ! Revision 1.18 2006/08/04 14:29:43 raasch |
---|
| 39 | ! dissipation is stored in extra array diss if needed later on for calculating |
---|
| 40 | ! the sgs particle velocities |
---|
| 41 | ! |
---|
| 42 | ! Revision 1.1 1997/09/19 07:40:24 raasch |
---|
| 43 | ! Initial revision |
---|
| 44 | ! |
---|
| 45 | ! |
---|
| 46 | ! Description: |
---|
| 47 | ! ------------ |
---|
| 48 | ! Diffusion- and dissipation terms for the TKE |
---|
| 49 | !------------------------------------------------------------------------------! |
---|
| 50 | |
---|
| 51 | PRIVATE |
---|
| 52 | PUBLIC diffusion_e |
---|
| 53 | |
---|
| 54 | |
---|
| 55 | INTERFACE diffusion_e |
---|
| 56 | MODULE PROCEDURE diffusion_e |
---|
| 57 | MODULE PROCEDURE diffusion_e_ij |
---|
| 58 | END INTERFACE diffusion_e |
---|
| 59 | |
---|
| 60 | CONTAINS |
---|
| 61 | |
---|
| 62 | |
---|
| 63 | !------------------------------------------------------------------------------! |
---|
| 64 | ! Call for all grid points |
---|
| 65 | !------------------------------------------------------------------------------! |
---|
[1001] | 66 | SUBROUTINE diffusion_e( var, var_reference ) |
---|
[1] | 67 | |
---|
[1001] | 68 | USE arrays_3d |
---|
[1] | 69 | USE control_parameters |
---|
| 70 | USE grid_variables |
---|
| 71 | USE indices |
---|
| 72 | USE particle_attributes |
---|
| 73 | |
---|
| 74 | IMPLICIT NONE |
---|
| 75 | |
---|
| 76 | INTEGER :: i, j, k |
---|
[1001] | 77 | REAL :: dvar_dz, l_stable, phi_m, var_reference |
---|
| 78 | |
---|
| 79 | REAL, DIMENSION(:,:,:), POINTER :: var |
---|
[19] | 80 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: dissipation, l, ll |
---|
[1] | 81 | |
---|
| 82 | |
---|
| 83 | ! |
---|
[65] | 84 | !-- This if clause must be outside the k-loop because otherwise |
---|
| 85 | !-- runtime errors occur with -C hopt on NEC |
---|
[97] | 86 | IF ( use_reference ) THEN |
---|
[65] | 87 | |
---|
| 88 | DO i = nxl, nxr |
---|
| 89 | DO j = nys, nyn |
---|
| 90 | ! |
---|
| 91 | !-- First, calculate phi-function for eventually adjusting the & |
---|
| 92 | !-- mixing length to the prandtl mixing length |
---|
| 93 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
---|
| 94 | IF ( rif(j,i) >= 0.0 ) THEN |
---|
| 95 | phi_m = 1.0 + 5.0 * rif(j,i) |
---|
| 96 | ELSE |
---|
| 97 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
---|
| 98 | ENDIF |
---|
[1] | 99 | ENDIF |
---|
| 100 | |
---|
[65] | 101 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1] | 102 | ! |
---|
[65] | 103 | !-- Calculate the mixing length (for dissipation) |
---|
[97] | 104 | dvar_dz = atmos_ocean_sign * & |
---|
| 105 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
---|
| 106 | IF ( dvar_dz > 0.0 ) THEN |
---|
[57] | 107 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
---|
[97] | 108 | SQRT( g / var_reference * dvar_dz ) + 1E-5 |
---|
[57] | 109 | ELSE |
---|
[65] | 110 | l_stable = l_grid(k) |
---|
[57] | 111 | ENDIF |
---|
[1] | 112 | ! |
---|
[65] | 113 | !-- Adjustment of the mixing length |
---|
| 114 | IF ( wall_adjustment ) THEN |
---|
[94] | 115 | l(k,j) = MIN( wall_adjustment_factor * & |
---|
| 116 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
---|
| 117 | l_grid(k), l_stable ) |
---|
| 118 | ll(k,j) = MIN( wall_adjustment_factor * & |
---|
| 119 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
---|
| 120 | l_grid(k) ) |
---|
[65] | 121 | ELSE |
---|
| 122 | l(k,j) = MIN( l_grid(k), l_stable ) |
---|
| 123 | ll(k,j) = l_grid(k) |
---|
| 124 | ENDIF |
---|
| 125 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
---|
[94] | 126 | l(k,j) = MIN( l(k,j), kappa * & |
---|
| 127 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
---|
| 128 | / phi_m ) |
---|
| 129 | ll(k,j) = MIN( ll(k,j), kappa * & |
---|
| 130 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
---|
| 131 | / phi_m ) |
---|
[65] | 132 | ENDIF |
---|
[1] | 133 | |
---|
[65] | 134 | ENDDO |
---|
[1] | 135 | ENDDO |
---|
[65] | 136 | |
---|
[1] | 137 | ! |
---|
[65] | 138 | !-- Calculate the tendency terms |
---|
| 139 | DO j = nys, nyn |
---|
| 140 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1] | 141 | |
---|
[65] | 142 | dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * & |
---|
| 143 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
---|
[1] | 144 | |
---|
[65] | 145 | tend(k,j,i) = tend(k,j,i) & |
---|
[1] | 146 | + ( & |
---|
| 147 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
---|
| 148 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
---|
| 149 | ) * ddx2 & |
---|
| 150 | + ( & |
---|
| 151 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
---|
| 152 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
---|
| 153 | ) * ddy2 & |
---|
| 154 | + ( & |
---|
| 155 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
---|
| 156 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
---|
| 157 | ) * ddzw(k) & |
---|
| 158 | - dissipation(k,j) |
---|
| 159 | |
---|
[65] | 160 | ENDDO |
---|
[1] | 161 | ENDDO |
---|
[65] | 162 | |
---|
| 163 | ! |
---|
| 164 | !-- Store dissipation if needed for calculating the sgs particle |
---|
| 165 | !-- velocities |
---|
[825] | 166 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
---|
[65] | 167 | DO j = nys, nyn |
---|
| 168 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 169 | diss(k,j,i) = dissipation(k,j) |
---|
| 170 | ENDDO |
---|
| 171 | ENDDO |
---|
| 172 | ENDIF |
---|
| 173 | |
---|
[1] | 174 | ENDDO |
---|
| 175 | |
---|
[65] | 176 | ELSE |
---|
| 177 | |
---|
| 178 | DO i = nxl, nxr |
---|
| 179 | DO j = nys, nyn |
---|
[1] | 180 | ! |
---|
[65] | 181 | !-- First, calculate phi-function for eventually adjusting the & |
---|
| 182 | !-- mixing length to the prandtl mixing length |
---|
| 183 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
---|
| 184 | IF ( rif(j,i) >= 0.0 ) THEN |
---|
| 185 | phi_m = 1.0 + 5.0 * rif(j,i) |
---|
| 186 | ELSE |
---|
| 187 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
---|
| 188 | ENDIF |
---|
| 189 | ENDIF |
---|
| 190 | |
---|
| 191 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 192 | ! |
---|
| 193 | !-- Calculate the mixing length (for dissipation) |
---|
[97] | 194 | dvar_dz = atmos_ocean_sign * & |
---|
| 195 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
---|
| 196 | IF ( dvar_dz > 0.0 ) THEN |
---|
[65] | 197 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
---|
[97] | 198 | SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5 |
---|
[65] | 199 | ELSE |
---|
| 200 | l_stable = l_grid(k) |
---|
| 201 | ENDIF |
---|
| 202 | ! |
---|
| 203 | !-- Adjustment of the mixing length |
---|
| 204 | IF ( wall_adjustment ) THEN |
---|
[94] | 205 | l(k,j) = MIN( wall_adjustment_factor * & |
---|
| 206 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
---|
| 207 | l_grid(k), l_stable ) |
---|
| 208 | ll(k,j) = MIN( wall_adjustment_factor * & |
---|
| 209 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
---|
| 210 | l_grid(k) ) |
---|
[65] | 211 | ELSE |
---|
| 212 | l(k,j) = MIN( l_grid(k), l_stable ) |
---|
| 213 | ll(k,j) = l_grid(k) |
---|
| 214 | ENDIF |
---|
| 215 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
---|
[94] | 216 | l(k,j) = MIN( l(k,j), kappa * & |
---|
| 217 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
---|
| 218 | / phi_m ) |
---|
| 219 | ll(k,j) = MIN( ll(k,j), kappa * & |
---|
| 220 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
---|
| 221 | / phi_m ) |
---|
[65] | 222 | ENDIF |
---|
| 223 | |
---|
| 224 | ENDDO |
---|
| 225 | ENDDO |
---|
| 226 | |
---|
| 227 | ! |
---|
| 228 | !-- Calculate the tendency terms |
---|
[1] | 229 | DO j = nys, nyn |
---|
[19] | 230 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[65] | 231 | |
---|
| 232 | dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * & |
---|
| 233 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
---|
| 234 | |
---|
| 235 | tend(k,j,i) = tend(k,j,i) & |
---|
| 236 | + ( & |
---|
| 237 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
---|
| 238 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
---|
| 239 | ) * ddx2 & |
---|
| 240 | + ( & |
---|
| 241 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
---|
| 242 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
---|
| 243 | ) * ddy2 & |
---|
| 244 | + ( & |
---|
| 245 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
---|
| 246 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
---|
| 247 | ) * ddzw(k) & |
---|
| 248 | - dissipation(k,j) |
---|
| 249 | |
---|
[1] | 250 | ENDDO |
---|
| 251 | ENDDO |
---|
| 252 | |
---|
[65] | 253 | ! |
---|
| 254 | !-- Store dissipation if needed for calculating the sgs particle |
---|
| 255 | !-- velocities |
---|
[825] | 256 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
---|
[65] | 257 | DO j = nys, nyn |
---|
| 258 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 259 | diss(k,j,i) = dissipation(k,j) |
---|
| 260 | ENDDO |
---|
| 261 | ENDDO |
---|
| 262 | ENDIF |
---|
[1] | 263 | |
---|
[65] | 264 | ENDDO |
---|
| 265 | |
---|
| 266 | ENDIF |
---|
| 267 | |
---|
[1] | 268 | ! |
---|
| 269 | !-- Boundary condition for dissipation |
---|
[825] | 270 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
---|
[1] | 271 | DO i = nxl, nxr |
---|
| 272 | DO j = nys, nyn |
---|
| 273 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
---|
| 274 | ENDDO |
---|
| 275 | ENDDO |
---|
| 276 | ENDIF |
---|
| 277 | |
---|
| 278 | END SUBROUTINE diffusion_e |
---|
| 279 | |
---|
| 280 | |
---|
| 281 | !------------------------------------------------------------------------------! |
---|
| 282 | ! Call for grid point i,j |
---|
| 283 | !------------------------------------------------------------------------------! |
---|
[1001] | 284 | SUBROUTINE diffusion_e_ij( i, j, var, var_reference ) |
---|
[1] | 285 | |
---|
[1001] | 286 | USE arrays_3d |
---|
[1] | 287 | USE control_parameters |
---|
| 288 | USE grid_variables |
---|
| 289 | USE indices |
---|
| 290 | USE particle_attributes |
---|
| 291 | |
---|
| 292 | IMPLICIT NONE |
---|
| 293 | |
---|
[1001] | 294 | INTEGER :: i, j, k |
---|
| 295 | REAL :: dvar_dz, l_stable, phi_m, var_reference |
---|
[1] | 296 | |
---|
[1001] | 297 | REAL, DIMENSION(:,:,:), POINTER :: var |
---|
| 298 | REAL, DIMENSION(nzb+1:nzt) :: dissipation, l, ll |
---|
[1] | 299 | |
---|
[1001] | 300 | |
---|
[1] | 301 | ! |
---|
| 302 | !-- First, calculate phi-function for eventually adjusting the mixing length |
---|
| 303 | !-- to the prandtl mixing length |
---|
| 304 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
---|
| 305 | IF ( rif(j,i) >= 0.0 ) THEN |
---|
| 306 | phi_m = 1.0 + 5.0 * rif(j,i) |
---|
| 307 | ELSE |
---|
| 308 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
---|
| 309 | ENDIF |
---|
| 310 | ENDIF |
---|
| 311 | |
---|
| 312 | ! |
---|
| 313 | !-- Calculate the mixing length (for dissipation) |
---|
[19] | 314 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[97] | 315 | dvar_dz = atmos_ocean_sign * & |
---|
| 316 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
---|
| 317 | IF ( dvar_dz > 0.0 ) THEN |
---|
| 318 | IF ( use_reference ) THEN |
---|
[57] | 319 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
---|
[97] | 320 | SQRT( g / var_reference * dvar_dz ) + 1E-5 |
---|
[57] | 321 | ELSE |
---|
| 322 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
---|
[97] | 323 | SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5 |
---|
[57] | 324 | ENDIF |
---|
[1] | 325 | ELSE |
---|
| 326 | l_stable = l_grid(k) |
---|
| 327 | ENDIF |
---|
| 328 | ! |
---|
| 329 | !-- Adjustment of the mixing length |
---|
| 330 | IF ( wall_adjustment ) THEN |
---|
[94] | 331 | l(k) = MIN( wall_adjustment_factor * & |
---|
| 332 | ( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k), & |
---|
| 333 | l_stable ) |
---|
| 334 | ll(k) = MIN( wall_adjustment_factor * & |
---|
| 335 | ( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k) ) |
---|
[1] | 336 | ELSE |
---|
| 337 | l(k) = MIN( l_grid(k), l_stable ) |
---|
| 338 | ll(k) = l_grid(k) |
---|
| 339 | ENDIF |
---|
| 340 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
---|
[94] | 341 | l(k) = MIN( l(k), kappa * & |
---|
| 342 | ( zu(k) - zw(nzb_s_inner(j,i)) ) / phi_m ) |
---|
| 343 | ll(k) = MIN( ll(k), kappa * & |
---|
| 344 | ( zu(k) - zw(nzb_s_inner(j,i)) ) / phi_m ) |
---|
[1] | 345 | ENDIF |
---|
| 346 | |
---|
| 347 | ! |
---|
| 348 | !-- Calculate the tendency term |
---|
| 349 | dissipation(k) = ( 0.19 + 0.74 * l(k) / ll(k) ) * e(k,j,i) * & |
---|
| 350 | SQRT( e(k,j,i) ) / l(k) |
---|
| 351 | |
---|
| 352 | tend(k,j,i) = tend(k,j,i) & |
---|
| 353 | + ( & |
---|
| 354 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
---|
| 355 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
---|
| 356 | ) * ddx2 & |
---|
| 357 | + ( & |
---|
| 358 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
---|
| 359 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
---|
| 360 | ) * ddy2 & |
---|
| 361 | + ( & |
---|
| 362 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
---|
| 363 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
---|
| 364 | ) * ddzw(k) & |
---|
| 365 | - dissipation(k) |
---|
| 366 | |
---|
| 367 | ENDDO |
---|
| 368 | |
---|
| 369 | ! |
---|
| 370 | !-- Store dissipation if needed for calculating the sgs particle velocities |
---|
[825] | 371 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
---|
[19] | 372 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1] | 373 | diss(k,j,i) = dissipation(k) |
---|
| 374 | ENDDO |
---|
| 375 | ! |
---|
| 376 | !-- Boundary condition for dissipation |
---|
| 377 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
---|
| 378 | ENDIF |
---|
| 379 | |
---|
| 380 | END SUBROUTINE diffusion_e_ij |
---|
| 381 | |
---|
| 382 | END MODULE diffusion_e_mod |
---|