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