| 1 | SUBROUTINE lpm_advec |
|---|
| 2 | |
|---|
| 3 | !--------------------------------------------------------------------------------! |
|---|
| 4 | ! This file is part of PALM. |
|---|
| 5 | ! |
|---|
| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
|---|
| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
|---|
| 8 | ! either version 3 of the License, or (at your option) any later version. |
|---|
| 9 | ! |
|---|
| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
|---|
| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
|---|
| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
|---|
| 13 | ! |
|---|
| 14 | ! You should have received a copy of the GNU General Public License along with |
|---|
| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
|---|
| 16 | ! |
|---|
| 17 | ! Copyright 1997-2014 Leibniz Universitaet Hannover |
|---|
| 18 | !--------------------------------------------------------------------------------! |
|---|
| 19 | ! |
|---|
| 20 | ! Current revisions: |
|---|
| 21 | ! ------------------ |
|---|
| 22 | ! |
|---|
| 23 | ! |
|---|
| 24 | ! Former revisions: |
|---|
| 25 | ! ----------------- |
|---|
| 26 | ! $Id: lpm_advec.f90 1315 2014-03-14 18:31:11Z heinze $ |
|---|
| 27 | ! |
|---|
| 28 | ! 1314 2014-03-14 18:25:17Z suehring |
|---|
| 29 | ! Vertical logarithmic interpolation of horizontal particle speed for particles |
|---|
| 30 | ! between roughness height and first vertical grid level. |
|---|
| 31 | ! |
|---|
| 32 | ! 1036 2012-10-22 13:43:42Z raasch |
|---|
| 33 | ! code put under GPL (PALM 3.9) |
|---|
| 34 | ! |
|---|
| 35 | ! 849 2012-03-15 10:35:09Z raasch |
|---|
| 36 | ! initial revision (former part of advec_particles) |
|---|
| 37 | ! |
|---|
| 38 | ! |
|---|
| 39 | ! Description: |
|---|
| 40 | ! ------------ |
|---|
| 41 | ! Calculation of new particle positions due to advection using a simple Euler |
|---|
| 42 | ! scheme. Particles may feel inertia effects. SGS transport can be included |
|---|
| 43 | ! using the stochastic model of Weil et al. (2004, JAS, 61, 2877-2887). |
|---|
| 44 | !------------------------------------------------------------------------------! |
|---|
| 45 | |
|---|
| 46 | USE arrays_3d |
|---|
| 47 | USE control_parameters |
|---|
| 48 | USE grid_variables |
|---|
| 49 | USE indices |
|---|
| 50 | USE particle_attributes |
|---|
| 51 | USE statistics |
|---|
| 52 | |
|---|
| 53 | IMPLICIT NONE |
|---|
| 54 | |
|---|
| 55 | INTEGER :: i, j, k, n |
|---|
| 56 | |
|---|
| 57 | REAL :: aa, bb, cc, dd, dens_ratio, exp_arg, exp_term, gg, u_int, & |
|---|
| 58 | u_int_l, u_int_u, v_int, v_int_l, v_int_u, w_int, w_int_l, & |
|---|
| 59 | w_int_u, x, y |
|---|
| 60 | |
|---|
| 61 | |
|---|
| 62 | INTEGER :: agp, kw, num_gp |
|---|
| 63 | INTEGER :: gp_outside_of_building(1:8) |
|---|
| 64 | |
|---|
| 65 | REAL :: d_sum, de_dx_int, de_dx_int_l, de_dx_int_u, de_dy_int, & |
|---|
| 66 | de_dy_int_l, de_dy_int_u, de_dt, de_dt_min, de_dz_int, & |
|---|
| 67 | de_dz_int_l, de_dz_int_u, diss_int, diss_int_l, diss_int_u, & |
|---|
| 68 | dt_gap, dt_particle, dt_particle_m, e_int, e_int_l, e_int_u, & |
|---|
| 69 | e_mean_int, fs_int, lagr_timescale, random_gauss, vv_int |
|---|
| 70 | |
|---|
| 71 | REAL :: height_int, height_p, log_z_z0_int, us_int, z_p, d_z_p_z0 |
|---|
| 72 | |
|---|
| 73 | REAL :: location(1:30,1:3) |
|---|
| 74 | REAL, DIMENSION(1:30) :: de_dxi, de_dyi, de_dzi, dissi, d_gp_pl, ei |
|---|
| 75 | |
|---|
| 76 | ! |
|---|
| 77 | !-- Determine height of Prandtl layer and distance between Prandtl-layer |
|---|
| 78 | !-- height and horizontal mean roughness height, which are required for |
|---|
| 79 | !-- vertical logarithmic interpolation of horizontal particle speeds |
|---|
| 80 | !-- (for particles below first vertical grid level). |
|---|
| 81 | z_p = zu(nzb+1) - zw(nzb) |
|---|
| 82 | d_z_p_z0 = 1.0 / ( z_p - z0_av_global ) |
|---|
| 83 | |
|---|
| 84 | DO n = 1, number_of_particles |
|---|
| 85 | |
|---|
| 86 | ! |
|---|
| 87 | !-- Move particle only if the LES timestep has not (approximately) been |
|---|
| 88 | !-- reached |
|---|
| 89 | IF ( ( dt_3d - particles(n)%dt_sum ) < 1E-8 ) CYCLE |
|---|
| 90 | ! |
|---|
| 91 | !-- Determine bottom index |
|---|
| 92 | k = ( particles(n)%z + 0.5 * dz * atmos_ocean_sign ) / dz & |
|---|
| 93 | + offset_ocean_nzt ! only exact if equidistant |
|---|
| 94 | ! |
|---|
| 95 | !-- Interpolation of the u velocity component onto particle position. |
|---|
| 96 | !-- Particles are interpolation bi-linearly in the horizontal and a |
|---|
| 97 | !-- linearly in the vertical. An exception is made for particles below |
|---|
| 98 | !-- the first vertical grid level in case of a prandtl layer. In this |
|---|
| 99 | !-- case the horizontal particle velocity components are determined using |
|---|
| 100 | !-- Monin-Obukhov relations (if branch). |
|---|
| 101 | !-- First, check if particle is located below first vertical grid level |
|---|
| 102 | !-- (Prandtl-layer height) |
|---|
| 103 | IF ( prandtl_layer .AND. particles(n)%z < z_p ) THEN |
|---|
| 104 | ! |
|---|
| 105 | !-- Resolved-scale horizontal particle velocity is zero below z0. |
|---|
| 106 | IF ( particles(n)%z < z0_av_global ) THEN |
|---|
| 107 | |
|---|
| 108 | u_int = 0.0 |
|---|
| 109 | |
|---|
| 110 | ELSE |
|---|
| 111 | ! |
|---|
| 112 | !-- Determine the sublayer. Further used as index. |
|---|
| 113 | height_p = ( particles(n)%z - z0_av_global ) & |
|---|
| 114 | * REAL( number_of_sublayers ) & |
|---|
| 115 | * d_z_p_z0 |
|---|
| 116 | ! |
|---|
| 117 | !-- Calculate LOG(z/z0) for exact particle height. Therefore, |
|---|
| 118 | !-- interpolate linearly between precalculated logarithm. |
|---|
| 119 | log_z_z0_int = log_z_z0(INT(height_p)) & |
|---|
| 120 | + ( height_p - INT(height_p) ) & |
|---|
| 121 | * ( log_z_z0(INT(height_p)+1) & |
|---|
| 122 | - log_z_z0(INT(height_p)) & |
|---|
| 123 | ) |
|---|
| 124 | ! |
|---|
| 125 | !-- Neutral solution is applied for all situations, e.g. also for |
|---|
| 126 | !-- unstable and stable situations. Even though this is not exact |
|---|
| 127 | !-- this saves a lot of CPU time since several calls of intrinsic |
|---|
| 128 | !-- FORTRAN procedures (LOG, ATAN) are avoided, This is justified |
|---|
| 129 | !-- as sensitivity studies revealed no significant effect of |
|---|
| 130 | !-- using the neutral solution also for un/stable situations. |
|---|
| 131 | !-- Calculated left and bottom index on u grid. |
|---|
| 132 | i = ( particles(n)%x + 0.5 * dx ) * ddx |
|---|
| 133 | j = particles(n)%y * ddy |
|---|
| 134 | |
|---|
| 135 | us_int = 0.5 * ( us(j,i) + us(j,i-1) ) |
|---|
| 136 | |
|---|
| 137 | u_int = -usws(j,i) / ( us_int * kappa + 1E-10 ) & |
|---|
| 138 | * log_z_z0_int |
|---|
| 139 | |
|---|
| 140 | ENDIF |
|---|
| 141 | ! |
|---|
| 142 | !-- Particle above the first grid level. Bi-linear interpolation in the |
|---|
| 143 | !-- horizontal and linear interpolation in the vertical direction. |
|---|
| 144 | ELSE |
|---|
| 145 | ! |
|---|
| 146 | !-- Interpolate u velocity-component, determine left, front, bottom |
|---|
| 147 | !-- index of u-array. Adopt k index from above |
|---|
| 148 | i = ( particles(n)%x + 0.5 * dx ) * ddx |
|---|
| 149 | j = particles(n)%y * ddy |
|---|
| 150 | ! |
|---|
| 151 | !-- Interpolation of the velocity components in the xy-plane |
|---|
| 152 | x = particles(n)%x + ( 0.5 - i ) * dx |
|---|
| 153 | y = particles(n)%y - j * dy |
|---|
| 154 | aa = x**2 + y**2 |
|---|
| 155 | bb = ( dx - x )**2 + y**2 |
|---|
| 156 | cc = x**2 + ( dy - y )**2 |
|---|
| 157 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 158 | gg = aa + bb + cc + dd |
|---|
| 159 | |
|---|
| 160 | u_int_l = ( ( gg - aa ) * u(k,j,i) + ( gg - bb ) * u(k,j,i+1) & |
|---|
| 161 | + ( gg - cc ) * u(k,j+1,i) + ( gg - dd ) * u(k,j+1,i+1)& |
|---|
| 162 | ) / ( 3.0 * gg ) - u_gtrans |
|---|
| 163 | |
|---|
| 164 | IF ( k+1 == nzt+1 ) THEN |
|---|
| 165 | |
|---|
| 166 | u_int = u_int_l |
|---|
| 167 | |
|---|
| 168 | ELSE |
|---|
| 169 | |
|---|
| 170 | u_int_u = ( ( gg-aa ) * u(k+1,j,i) + ( gg-bb ) * u(k+1,j,i+1) & |
|---|
| 171 | + ( gg-cc ) * u(k+1,j+1,i) + ( gg-dd ) * u(k+1,j+1,i+1) & |
|---|
| 172 | ) / ( 3.0 * gg ) - u_gtrans |
|---|
| 173 | |
|---|
| 174 | u_int = u_int_l + ( particles(n)%z - zu(k) ) / dz * & |
|---|
| 175 | ( u_int_u - u_int_l ) |
|---|
| 176 | |
|---|
| 177 | ENDIF |
|---|
| 178 | |
|---|
| 179 | ENDIF |
|---|
| 180 | |
|---|
| 181 | ! |
|---|
| 182 | !-- Same procedure for interpolation of the v velocity-component. |
|---|
| 183 | IF ( prandtl_layer .AND. particles(n)%z < z_p ) THEN |
|---|
| 184 | ! |
|---|
| 185 | !-- Resolved-scale horizontal particle velocity is zero below z0. |
|---|
| 186 | IF ( particles(n)%z < z0_av_global ) THEN |
|---|
| 187 | |
|---|
| 188 | v_int = 0.0 |
|---|
| 189 | |
|---|
| 190 | ELSE |
|---|
| 191 | ! |
|---|
| 192 | !-- Neutral solution is applied for all situations, e.g. also for |
|---|
| 193 | !-- unstable and stable situations. Even though this is not exact |
|---|
| 194 | !-- this saves a lot of CPU time since several calls of intrinsic |
|---|
| 195 | !-- FORTRAN procedures (LOG, ATAN) are avoided, This is justified |
|---|
| 196 | !-- as sensitivity studies revealed no significant effect of |
|---|
| 197 | !-- using the neutral solution also for un/stable situations. |
|---|
| 198 | !-- Calculated left and bottom index on v grid. |
|---|
| 199 | i = particles(n)%x * ddx |
|---|
| 200 | j = ( particles(n)%y + 0.5 * dy ) * ddy |
|---|
| 201 | |
|---|
| 202 | us_int = 0.5 * ( us(j,i) + us(j-1,i) ) |
|---|
| 203 | |
|---|
| 204 | v_int = -vsws(j,i) / ( us_int * kappa + 1E-10 ) & |
|---|
| 205 | * log_z_z0_int |
|---|
| 206 | |
|---|
| 207 | ENDIF |
|---|
| 208 | ! |
|---|
| 209 | !-- Particle above the first grid level. Bi-linear interpolation in the |
|---|
| 210 | !-- horizontal and linear interpolation in the vertical direction. |
|---|
| 211 | ELSE |
|---|
| 212 | i = particles(n)%x * ddx |
|---|
| 213 | j = ( particles(n)%y + 0.5 * dy ) * ddy |
|---|
| 214 | x = particles(n)%x - i * dx |
|---|
| 215 | y = particles(n)%y + ( 0.5 - j ) * dy |
|---|
| 216 | aa = x**2 + y**2 |
|---|
| 217 | bb = ( dx - x )**2 + y**2 |
|---|
| 218 | cc = x**2 + ( dy - y )**2 |
|---|
| 219 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 220 | gg = aa + bb + cc + dd |
|---|
| 221 | |
|---|
| 222 | v_int_l = ( ( gg - aa ) * v(k,j,i) + ( gg - bb ) * v(k,j,i+1) & |
|---|
| 223 | + ( gg - cc ) * v(k,j+1,i) + ( gg - dd ) * v(k,j+1,i+1)& |
|---|
| 224 | ) / ( 3.0 * gg ) - v_gtrans |
|---|
| 225 | IF ( k+1 == nzt+1 ) THEN |
|---|
| 226 | v_int = v_int_l |
|---|
| 227 | ELSE |
|---|
| 228 | v_int_u = ( ( gg-aa ) * v(k+1,j,i) + ( gg-bb ) * v(k+1,j,i+1) & |
|---|
| 229 | + ( gg-cc ) * v(k+1,j+1,i) + ( gg-dd ) * v(k+1,j+1,i+1) & |
|---|
| 230 | ) / ( 3.0 * gg ) - v_gtrans |
|---|
| 231 | v_int = v_int_l + ( particles(n)%z - zu(k) ) / dz * & |
|---|
| 232 | ( v_int_u - v_int_l ) |
|---|
| 233 | ENDIF |
|---|
| 234 | |
|---|
| 235 | ENDIF |
|---|
| 236 | |
|---|
| 237 | ! |
|---|
| 238 | !-- Same procedure for interpolation of the w velocity-component |
|---|
| 239 | IF ( vertical_particle_advection(particles(n)%group) ) THEN |
|---|
| 240 | i = particles(n)%x * ddx |
|---|
| 241 | j = particles(n)%y * ddy |
|---|
| 242 | k = particles(n)%z / dz + offset_ocean_nzt_m1 |
|---|
| 243 | |
|---|
| 244 | x = particles(n)%x - i * dx |
|---|
| 245 | y = particles(n)%y - j * dy |
|---|
| 246 | aa = x**2 + y**2 |
|---|
| 247 | bb = ( dx - x )**2 + y**2 |
|---|
| 248 | cc = x**2 + ( dy - y )**2 |
|---|
| 249 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 250 | gg = aa + bb + cc + dd |
|---|
| 251 | |
|---|
| 252 | w_int_l = ( ( gg - aa ) * w(k,j,i) + ( gg - bb ) * w(k,j,i+1) & |
|---|
| 253 | + ( gg - cc ) * w(k,j+1,i) + ( gg - dd ) * w(k,j+1,i+1) & |
|---|
| 254 | ) / ( 3.0 * gg ) |
|---|
| 255 | IF ( k+1 == nzt+1 ) THEN |
|---|
| 256 | w_int = w_int_l |
|---|
| 257 | ELSE |
|---|
| 258 | w_int_u = ( ( gg-aa ) * w(k+1,j,i) + & |
|---|
| 259 | ( gg-bb ) * w(k+1,j,i+1) + & |
|---|
| 260 | ( gg-cc ) * w(k+1,j+1,i) + & |
|---|
| 261 | ( gg-dd ) * w(k+1,j+1,i+1) & |
|---|
| 262 | ) / ( 3.0 * gg ) |
|---|
| 263 | w_int = w_int_l + ( particles(n)%z - zw(k) ) / dz * & |
|---|
| 264 | ( w_int_u - w_int_l ) |
|---|
| 265 | ENDIF |
|---|
| 266 | ELSE |
|---|
| 267 | w_int = 0.0 |
|---|
| 268 | ENDIF |
|---|
| 269 | |
|---|
| 270 | ! |
|---|
| 271 | !-- Interpolate and calculate quantities needed for calculating the SGS |
|---|
| 272 | !-- velocities |
|---|
| 273 | IF ( use_sgs_for_particles ) THEN |
|---|
| 274 | ! |
|---|
| 275 | !-- Interpolate TKE |
|---|
| 276 | i = particles(n)%x * ddx |
|---|
| 277 | j = particles(n)%y * ddy |
|---|
| 278 | k = ( particles(n)%z + 0.5 * dz * atmos_ocean_sign ) / dz & |
|---|
| 279 | + offset_ocean_nzt ! only exact if eq.dist |
|---|
| 280 | |
|---|
| 281 | IF ( topography == 'flat' ) THEN |
|---|
| 282 | |
|---|
| 283 | x = particles(n)%x - i * dx |
|---|
| 284 | y = particles(n)%y - j * dy |
|---|
| 285 | aa = x**2 + y**2 |
|---|
| 286 | bb = ( dx - x )**2 + y**2 |
|---|
| 287 | cc = x**2 + ( dy - y )**2 |
|---|
| 288 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 289 | gg = aa + bb + cc + dd |
|---|
| 290 | |
|---|
| 291 | e_int_l = ( ( gg-aa ) * e(k,j,i) + ( gg-bb ) * e(k,j,i+1) & |
|---|
| 292 | + ( gg-cc ) * e(k,j+1,i) + ( gg-dd ) * e(k,j+1,i+1) & |
|---|
| 293 | ) / ( 3.0 * gg ) |
|---|
| 294 | |
|---|
| 295 | IF ( k+1 == nzt+1 ) THEN |
|---|
| 296 | e_int = e_int_l |
|---|
| 297 | ELSE |
|---|
| 298 | e_int_u = ( ( gg - aa ) * e(k+1,j,i) + & |
|---|
| 299 | ( gg - bb ) * e(k+1,j,i+1) + & |
|---|
| 300 | ( gg - cc ) * e(k+1,j+1,i) + & |
|---|
| 301 | ( gg - dd ) * e(k+1,j+1,i+1) & |
|---|
| 302 | ) / ( 3.0 * gg ) |
|---|
| 303 | e_int = e_int_l + ( particles(n)%z - zu(k) ) / dz * & |
|---|
| 304 | ( e_int_u - e_int_l ) |
|---|
| 305 | ENDIF |
|---|
| 306 | |
|---|
| 307 | ! |
|---|
| 308 | !-- Interpolate the TKE gradient along x (adopt incides i,j,k and |
|---|
| 309 | !-- all position variables from above (TKE)) |
|---|
| 310 | de_dx_int_l = ( ( gg - aa ) * de_dx(k,j,i) + & |
|---|
| 311 | ( gg - bb ) * de_dx(k,j,i+1) + & |
|---|
| 312 | ( gg - cc ) * de_dx(k,j+1,i) + & |
|---|
| 313 | ( gg - dd ) * de_dx(k,j+1,i+1) & |
|---|
| 314 | ) / ( 3.0 * gg ) |
|---|
| 315 | |
|---|
| 316 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 317 | de_dx_int = de_dx_int_l |
|---|
| 318 | ELSE |
|---|
| 319 | de_dx_int_u = ( ( gg - aa ) * de_dx(k+1,j,i) + & |
|---|
| 320 | ( gg - bb ) * de_dx(k+1,j,i+1) + & |
|---|
| 321 | ( gg - cc ) * de_dx(k+1,j+1,i) + & |
|---|
| 322 | ( gg - dd ) * de_dx(k+1,j+1,i+1) & |
|---|
| 323 | ) / ( 3.0 * gg ) |
|---|
| 324 | de_dx_int = de_dx_int_l + ( particles(n)%z - zu(k) ) / dz * & |
|---|
| 325 | ( de_dx_int_u - de_dx_int_l ) |
|---|
| 326 | ENDIF |
|---|
| 327 | |
|---|
| 328 | ! |
|---|
| 329 | !-- Interpolate the TKE gradient along y |
|---|
| 330 | de_dy_int_l = ( ( gg - aa ) * de_dy(k,j,i) + & |
|---|
| 331 | ( gg - bb ) * de_dy(k,j,i+1) + & |
|---|
| 332 | ( gg - cc ) * de_dy(k,j+1,i) + & |
|---|
| 333 | ( gg - dd ) * de_dy(k,j+1,i+1) & |
|---|
| 334 | ) / ( 3.0 * gg ) |
|---|
| 335 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 336 | de_dy_int = de_dy_int_l |
|---|
| 337 | ELSE |
|---|
| 338 | de_dy_int_u = ( ( gg - aa ) * de_dy(k+1,j,i) + & |
|---|
| 339 | ( gg - bb ) * de_dy(k+1,j,i+1) + & |
|---|
| 340 | ( gg - cc ) * de_dy(k+1,j+1,i) + & |
|---|
| 341 | ( gg - dd ) * de_dy(k+1,j+1,i+1) & |
|---|
| 342 | ) / ( 3.0 * gg ) |
|---|
| 343 | de_dy_int = de_dy_int_l + ( particles(n)%z - zu(k) ) / dz * & |
|---|
| 344 | ( de_dy_int_u - de_dy_int_l ) |
|---|
| 345 | ENDIF |
|---|
| 346 | |
|---|
| 347 | ! |
|---|
| 348 | !-- Interpolate the TKE gradient along z |
|---|
| 349 | IF ( particles(n)%z < 0.5 * dz ) THEN |
|---|
| 350 | de_dz_int = 0.0 |
|---|
| 351 | ELSE |
|---|
| 352 | de_dz_int_l = ( ( gg - aa ) * de_dz(k,j,i) + & |
|---|
| 353 | ( gg - bb ) * de_dz(k,j,i+1) + & |
|---|
| 354 | ( gg - cc ) * de_dz(k,j+1,i) + & |
|---|
| 355 | ( gg - dd ) * de_dz(k,j+1,i+1) & |
|---|
| 356 | ) / ( 3.0 * gg ) |
|---|
| 357 | |
|---|
| 358 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 359 | de_dz_int = de_dz_int_l |
|---|
| 360 | ELSE |
|---|
| 361 | de_dz_int_u = ( ( gg - aa ) * de_dz(k+1,j,i) + & |
|---|
| 362 | ( gg - bb ) * de_dz(k+1,j,i+1) + & |
|---|
| 363 | ( gg - cc ) * de_dz(k+1,j+1,i) + & |
|---|
| 364 | ( gg - dd ) * de_dz(k+1,j+1,i+1) & |
|---|
| 365 | ) / ( 3.0 * gg ) |
|---|
| 366 | de_dz_int = de_dz_int_l + ( particles(n)%z - zu(k) ) / dz * & |
|---|
| 367 | ( de_dz_int_u - de_dz_int_l ) |
|---|
| 368 | ENDIF |
|---|
| 369 | ENDIF |
|---|
| 370 | |
|---|
| 371 | ! |
|---|
| 372 | !-- Interpolate the dissipation of TKE |
|---|
| 373 | diss_int_l = ( ( gg - aa ) * diss(k,j,i) + & |
|---|
| 374 | ( gg - bb ) * diss(k,j,i+1) + & |
|---|
| 375 | ( gg - cc ) * diss(k,j+1,i) + & |
|---|
| 376 | ( gg - dd ) * diss(k,j+1,i+1) & |
|---|
| 377 | ) / ( 3.0 * gg ) |
|---|
| 378 | |
|---|
| 379 | IF ( k+1 == nzt+1 ) THEN |
|---|
| 380 | diss_int = diss_int_l |
|---|
| 381 | ELSE |
|---|
| 382 | diss_int_u = ( ( gg - aa ) * diss(k+1,j,i) + & |
|---|
| 383 | ( gg - bb ) * diss(k+1,j,i+1) + & |
|---|
| 384 | ( gg - cc ) * diss(k+1,j+1,i) + & |
|---|
| 385 | ( gg - dd ) * diss(k+1,j+1,i+1) & |
|---|
| 386 | ) / ( 3.0 * gg ) |
|---|
| 387 | diss_int = diss_int_l + ( particles(n)%z - zu(k) ) / dz * & |
|---|
| 388 | ( diss_int_u - diss_int_l ) |
|---|
| 389 | ENDIF |
|---|
| 390 | |
|---|
| 391 | ELSE |
|---|
| 392 | |
|---|
| 393 | ! |
|---|
| 394 | !-- In case that there are buildings it has to be determined |
|---|
| 395 | !-- how many of the gridpoints defining the particle box are |
|---|
| 396 | !-- situated within a building |
|---|
| 397 | !-- gp_outside_of_building(1): i,j,k |
|---|
| 398 | !-- gp_outside_of_building(2): i,j+1,k |
|---|
| 399 | !-- gp_outside_of_building(3): i,j,k+1 |
|---|
| 400 | !-- gp_outside_of_building(4): i,j+1,k+1 |
|---|
| 401 | !-- gp_outside_of_building(5): i+1,j,k |
|---|
| 402 | !-- gp_outside_of_building(6): i+1,j+1,k |
|---|
| 403 | !-- gp_outside_of_building(7): i+1,j,k+1 |
|---|
| 404 | !-- gp_outside_of_building(8): i+1,j+1,k+1 |
|---|
| 405 | |
|---|
| 406 | gp_outside_of_building = 0 |
|---|
| 407 | location = 0.0 |
|---|
| 408 | num_gp = 0 |
|---|
| 409 | |
|---|
| 410 | IF ( k > nzb_s_inner(j,i) .OR. nzb_s_inner(j,i) == 0 ) THEN |
|---|
| 411 | num_gp = num_gp + 1 |
|---|
| 412 | gp_outside_of_building(1) = 1 |
|---|
| 413 | location(num_gp,1) = i * dx |
|---|
| 414 | location(num_gp,2) = j * dy |
|---|
| 415 | location(num_gp,3) = k * dz - 0.5 * dz |
|---|
| 416 | ei(num_gp) = e(k,j,i) |
|---|
| 417 | dissi(num_gp) = diss(k,j,i) |
|---|
| 418 | de_dxi(num_gp) = de_dx(k,j,i) |
|---|
| 419 | de_dyi(num_gp) = de_dy(k,j,i) |
|---|
| 420 | de_dzi(num_gp) = de_dz(k,j,i) |
|---|
| 421 | ENDIF |
|---|
| 422 | |
|---|
| 423 | IF ( k > nzb_s_inner(j+1,i) .OR. nzb_s_inner(j+1,i) == 0 ) & |
|---|
| 424 | THEN |
|---|
| 425 | num_gp = num_gp + 1 |
|---|
| 426 | gp_outside_of_building(2) = 1 |
|---|
| 427 | location(num_gp,1) = i * dx |
|---|
| 428 | location(num_gp,2) = (j+1) * dy |
|---|
| 429 | location(num_gp,3) = k * dz - 0.5 * dz |
|---|
| 430 | ei(num_gp) = e(k,j+1,i) |
|---|
| 431 | dissi(num_gp) = diss(k,j+1,i) |
|---|
| 432 | de_dxi(num_gp) = de_dx(k,j+1,i) |
|---|
| 433 | de_dyi(num_gp) = de_dy(k,j+1,i) |
|---|
| 434 | de_dzi(num_gp) = de_dz(k,j+1,i) |
|---|
| 435 | ENDIF |
|---|
| 436 | |
|---|
| 437 | IF ( k+1 > nzb_s_inner(j,i) .OR. nzb_s_inner(j,i) == 0 ) THEN |
|---|
| 438 | num_gp = num_gp + 1 |
|---|
| 439 | gp_outside_of_building(3) = 1 |
|---|
| 440 | location(num_gp,1) = i * dx |
|---|
| 441 | location(num_gp,2) = j * dy |
|---|
| 442 | location(num_gp,3) = (k+1) * dz - 0.5 * dz |
|---|
| 443 | ei(num_gp) = e(k+1,j,i) |
|---|
| 444 | dissi(num_gp) = diss(k+1,j,i) |
|---|
| 445 | de_dxi(num_gp) = de_dx(k+1,j,i) |
|---|
| 446 | de_dyi(num_gp) = de_dy(k+1,j,i) |
|---|
| 447 | de_dzi(num_gp) = de_dz(k+1,j,i) |
|---|
| 448 | ENDIF |
|---|
| 449 | |
|---|
| 450 | IF ( k+1 > nzb_s_inner(j+1,i) .OR. nzb_s_inner(j+1,i) == 0 ) & |
|---|
| 451 | THEN |
|---|
| 452 | num_gp = num_gp + 1 |
|---|
| 453 | gp_outside_of_building(4) = 1 |
|---|
| 454 | location(num_gp,1) = i * dx |
|---|
| 455 | location(num_gp,2) = (j+1) * dy |
|---|
| 456 | location(num_gp,3) = (k+1) * dz - 0.5 * dz |
|---|
| 457 | ei(num_gp) = e(k+1,j+1,i) |
|---|
| 458 | dissi(num_gp) = diss(k+1,j+1,i) |
|---|
| 459 | de_dxi(num_gp) = de_dx(k+1,j+1,i) |
|---|
| 460 | de_dyi(num_gp) = de_dy(k+1,j+1,i) |
|---|
| 461 | de_dzi(num_gp) = de_dz(k+1,j+1,i) |
|---|
| 462 | ENDIF |
|---|
| 463 | |
|---|
| 464 | IF ( k > nzb_s_inner(j,i+1) .OR. nzb_s_inner(j,i+1) == 0 ) & |
|---|
| 465 | THEN |
|---|
| 466 | num_gp = num_gp + 1 |
|---|
| 467 | gp_outside_of_building(5) = 1 |
|---|
| 468 | location(num_gp,1) = (i+1) * dx |
|---|
| 469 | location(num_gp,2) = j * dy |
|---|
| 470 | location(num_gp,3) = k * dz - 0.5 * dz |
|---|
| 471 | ei(num_gp) = e(k,j,i+1) |
|---|
| 472 | dissi(num_gp) = diss(k,j,i+1) |
|---|
| 473 | de_dxi(num_gp) = de_dx(k,j,i+1) |
|---|
| 474 | de_dyi(num_gp) = de_dy(k,j,i+1) |
|---|
| 475 | de_dzi(num_gp) = de_dz(k,j,i+1) |
|---|
| 476 | ENDIF |
|---|
| 477 | |
|---|
| 478 | IF ( k > nzb_s_inner(j+1,i+1) .OR. nzb_s_inner(j+1,i+1) == 0 ) & |
|---|
| 479 | THEN |
|---|
| 480 | num_gp = num_gp + 1 |
|---|
| 481 | gp_outside_of_building(6) = 1 |
|---|
| 482 | location(num_gp,1) = (i+1) * dx |
|---|
| 483 | location(num_gp,2) = (j+1) * dy |
|---|
| 484 | location(num_gp,3) = k * dz - 0.5 * dz |
|---|
| 485 | ei(num_gp) = e(k,j+1,i+1) |
|---|
| 486 | dissi(num_gp) = diss(k,j+1,i+1) |
|---|
| 487 | de_dxi(num_gp) = de_dx(k,j+1,i+1) |
|---|
| 488 | de_dyi(num_gp) = de_dy(k,j+1,i+1) |
|---|
| 489 | de_dzi(num_gp) = de_dz(k,j+1,i+1) |
|---|
| 490 | ENDIF |
|---|
| 491 | |
|---|
| 492 | IF ( k+1 > nzb_s_inner(j,i+1) .OR. nzb_s_inner(j,i+1) == 0 ) & |
|---|
| 493 | THEN |
|---|
| 494 | num_gp = num_gp + 1 |
|---|
| 495 | gp_outside_of_building(7) = 1 |
|---|
| 496 | location(num_gp,1) = (i+1) * dx |
|---|
| 497 | location(num_gp,2) = j * dy |
|---|
| 498 | location(num_gp,3) = (k+1) * dz - 0.5 * dz |
|---|
| 499 | ei(num_gp) = e(k+1,j,i+1) |
|---|
| 500 | dissi(num_gp) = diss(k+1,j,i+1) |
|---|
| 501 | de_dxi(num_gp) = de_dx(k+1,j,i+1) |
|---|
| 502 | de_dyi(num_gp) = de_dy(k+1,j,i+1) |
|---|
| 503 | de_dzi(num_gp) = de_dz(k+1,j,i+1) |
|---|
| 504 | ENDIF |
|---|
| 505 | |
|---|
| 506 | IF ( k+1 > nzb_s_inner(j+1,i+1) .OR. nzb_s_inner(j+1,i+1) == 0)& |
|---|
| 507 | THEN |
|---|
| 508 | num_gp = num_gp + 1 |
|---|
| 509 | gp_outside_of_building(8) = 1 |
|---|
| 510 | location(num_gp,1) = (i+1) * dx |
|---|
| 511 | location(num_gp,2) = (j+1) * dy |
|---|
| 512 | location(num_gp,3) = (k+1) * dz - 0.5 * dz |
|---|
| 513 | ei(num_gp) = e(k+1,j+1,i+1) |
|---|
| 514 | dissi(num_gp) = diss(k+1,j+1,i+1) |
|---|
| 515 | de_dxi(num_gp) = de_dx(k+1,j+1,i+1) |
|---|
| 516 | de_dyi(num_gp) = de_dy(k+1,j+1,i+1) |
|---|
| 517 | de_dzi(num_gp) = de_dz(k+1,j+1,i+1) |
|---|
| 518 | ENDIF |
|---|
| 519 | |
|---|
| 520 | ! |
|---|
| 521 | !-- If all gridpoints are situated outside of a building, then the |
|---|
| 522 | !-- ordinary interpolation scheme can be used. |
|---|
| 523 | IF ( num_gp == 8 ) THEN |
|---|
| 524 | |
|---|
| 525 | x = particles(n)%x - i * dx |
|---|
| 526 | y = particles(n)%y - j * dy |
|---|
| 527 | aa = x**2 + y**2 |
|---|
| 528 | bb = ( dx - x )**2 + y**2 |
|---|
| 529 | cc = x**2 + ( dy - y )**2 |
|---|
| 530 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 531 | gg = aa + bb + cc + dd |
|---|
| 532 | |
|---|
| 533 | e_int_l = (( gg-aa ) * e(k,j,i) + ( gg-bb ) * e(k,j,i+1) & |
|---|
| 534 | + ( gg-cc ) * e(k,j+1,i) + ( gg-dd ) * e(k,j+1,i+1)& |
|---|
| 535 | ) / ( 3.0 * gg ) |
|---|
| 536 | |
|---|
| 537 | IF ( k+1 == nzt+1 ) THEN |
|---|
| 538 | e_int = e_int_l |
|---|
| 539 | ELSE |
|---|
| 540 | e_int_u = ( ( gg - aa ) * e(k+1,j,i) + & |
|---|
| 541 | ( gg - bb ) * e(k+1,j,i+1) + & |
|---|
| 542 | ( gg - cc ) * e(k+1,j+1,i) + & |
|---|
| 543 | ( gg - dd ) * e(k+1,j+1,i+1) & |
|---|
| 544 | ) / ( 3.0 * gg ) |
|---|
| 545 | e_int = e_int_l + ( particles(n)%z - zu(k) ) / dz * & |
|---|
| 546 | ( e_int_u - e_int_l ) |
|---|
| 547 | ENDIF |
|---|
| 548 | |
|---|
| 549 | ! |
|---|
| 550 | !-- Interpolate the TKE gradient along x (adopt incides i,j,k |
|---|
| 551 | !-- and all position variables from above (TKE)) |
|---|
| 552 | de_dx_int_l = ( ( gg - aa ) * de_dx(k,j,i) + & |
|---|
| 553 | ( gg - bb ) * de_dx(k,j,i+1) + & |
|---|
| 554 | ( gg - cc ) * de_dx(k,j+1,i) + & |
|---|
| 555 | ( gg - dd ) * de_dx(k,j+1,i+1) & |
|---|
| 556 | ) / ( 3.0 * gg ) |
|---|
| 557 | |
|---|
| 558 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 559 | de_dx_int = de_dx_int_l |
|---|
| 560 | ELSE |
|---|
| 561 | de_dx_int_u = ( ( gg - aa ) * de_dx(k+1,j,i) + & |
|---|
| 562 | ( gg - bb ) * de_dx(k+1,j,i+1) + & |
|---|
| 563 | ( gg - cc ) * de_dx(k+1,j+1,i) + & |
|---|
| 564 | ( gg - dd ) * de_dx(k+1,j+1,i+1) & |
|---|
| 565 | ) / ( 3.0 * gg ) |
|---|
| 566 | de_dx_int = de_dx_int_l + ( particles(n)%z - zu(k) ) / & |
|---|
| 567 | dz * ( de_dx_int_u - de_dx_int_l ) |
|---|
| 568 | ENDIF |
|---|
| 569 | |
|---|
| 570 | ! |
|---|
| 571 | !-- Interpolate the TKE gradient along y |
|---|
| 572 | de_dy_int_l = ( ( gg - aa ) * de_dy(k,j,i) + & |
|---|
| 573 | ( gg - bb ) * de_dy(k,j,i+1) + & |
|---|
| 574 | ( gg - cc ) * de_dy(k,j+1,i) + & |
|---|
| 575 | ( gg - dd ) * de_dy(k,j+1,i+1) & |
|---|
| 576 | ) / ( 3.0 * gg ) |
|---|
| 577 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 578 | de_dy_int = de_dy_int_l |
|---|
| 579 | ELSE |
|---|
| 580 | de_dy_int_u = ( ( gg - aa ) * de_dy(k+1,j,i) + & |
|---|
| 581 | ( gg - bb ) * de_dy(k+1,j,i+1) + & |
|---|
| 582 | ( gg - cc ) * de_dy(k+1,j+1,i) + & |
|---|
| 583 | ( gg - dd ) * de_dy(k+1,j+1,i+1) & |
|---|
| 584 | ) / ( 3.0 * gg ) |
|---|
| 585 | de_dy_int = de_dy_int_l + ( particles(n)%z - zu(k) ) / & |
|---|
| 586 | dz * ( de_dy_int_u - de_dy_int_l ) |
|---|
| 587 | ENDIF |
|---|
| 588 | |
|---|
| 589 | ! |
|---|
| 590 | !-- Interpolate the TKE gradient along z |
|---|
| 591 | IF ( particles(n)%z < 0.5 * dz ) THEN |
|---|
| 592 | de_dz_int = 0.0 |
|---|
| 593 | ELSE |
|---|
| 594 | de_dz_int_l = ( ( gg - aa ) * de_dz(k,j,i) + & |
|---|
| 595 | ( gg - bb ) * de_dz(k,j,i+1) + & |
|---|
| 596 | ( gg - cc ) * de_dz(k,j+1,i) + & |
|---|
| 597 | ( gg - dd ) * de_dz(k,j+1,i+1) & |
|---|
| 598 | ) / ( 3.0 * gg ) |
|---|
| 599 | |
|---|
| 600 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 601 | de_dz_int = de_dz_int_l |
|---|
| 602 | ELSE |
|---|
| 603 | de_dz_int_u = ( ( gg - aa ) * de_dz(k+1,j,i) + & |
|---|
| 604 | ( gg - bb ) * de_dz(k+1,j,i+1) + & |
|---|
| 605 | ( gg - cc ) * de_dz(k+1,j+1,i) + & |
|---|
| 606 | ( gg - dd ) * de_dz(k+1,j+1,i+1) & |
|---|
| 607 | ) / ( 3.0 * gg ) |
|---|
| 608 | de_dz_int = de_dz_int_l + ( particles(n)%z - zu(k) ) /& |
|---|
| 609 | dz * ( de_dz_int_u - de_dz_int_l ) |
|---|
| 610 | ENDIF |
|---|
| 611 | ENDIF |
|---|
| 612 | |
|---|
| 613 | ! |
|---|
| 614 | !-- Interpolate the dissipation of TKE |
|---|
| 615 | diss_int_l = ( ( gg - aa ) * diss(k,j,i) + & |
|---|
| 616 | ( gg - bb ) * diss(k,j,i+1) + & |
|---|
| 617 | ( gg - cc ) * diss(k,j+1,i) + & |
|---|
| 618 | ( gg - dd ) * diss(k,j+1,i+1) & |
|---|
| 619 | ) / ( 3.0 * gg ) |
|---|
| 620 | |
|---|
| 621 | IF ( k+1 == nzt+1 ) THEN |
|---|
| 622 | diss_int = diss_int_l |
|---|
| 623 | ELSE |
|---|
| 624 | diss_int_u = ( ( gg - aa ) * diss(k+1,j,i) + & |
|---|
| 625 | ( gg - bb ) * diss(k+1,j,i+1) + & |
|---|
| 626 | ( gg - cc ) * diss(k+1,j+1,i) + & |
|---|
| 627 | ( gg - dd ) * diss(k+1,j+1,i+1) & |
|---|
| 628 | ) / ( 3.0 * gg ) |
|---|
| 629 | diss_int = diss_int_l + ( particles(n)%z - zu(k) ) / dz *& |
|---|
| 630 | ( diss_int_u - diss_int_l ) |
|---|
| 631 | ENDIF |
|---|
| 632 | |
|---|
| 633 | ELSE |
|---|
| 634 | |
|---|
| 635 | ! |
|---|
| 636 | !-- If wall between gridpoint 1 and gridpoint 5, then |
|---|
| 637 | !-- Neumann boundary condition has to be applied |
|---|
| 638 | IF ( gp_outside_of_building(1) == 1 .AND. & |
|---|
| 639 | gp_outside_of_building(5) == 0 ) THEN |
|---|
| 640 | num_gp = num_gp + 1 |
|---|
| 641 | location(num_gp,1) = i * dx + 0.5 * dx |
|---|
| 642 | location(num_gp,2) = j * dy |
|---|
| 643 | location(num_gp,3) = k * dz - 0.5 * dz |
|---|
| 644 | ei(num_gp) = e(k,j,i) |
|---|
| 645 | dissi(num_gp) = diss(k,j,i) |
|---|
| 646 | de_dxi(num_gp) = 0.0 |
|---|
| 647 | de_dyi(num_gp) = de_dy(k,j,i) |
|---|
| 648 | de_dzi(num_gp) = de_dz(k,j,i) |
|---|
| 649 | ENDIF |
|---|
| 650 | |
|---|
| 651 | IF ( gp_outside_of_building(5) == 1 .AND. & |
|---|
| 652 | gp_outside_of_building(1) == 0 ) THEN |
|---|
| 653 | num_gp = num_gp + 1 |
|---|
| 654 | location(num_gp,1) = i * dx + 0.5 * dx |
|---|
| 655 | location(num_gp,2) = j * dy |
|---|
| 656 | location(num_gp,3) = k * dz - 0.5 * dz |
|---|
| 657 | ei(num_gp) = e(k,j,i+1) |
|---|
| 658 | dissi(num_gp) = diss(k,j,i+1) |
|---|
| 659 | de_dxi(num_gp) = 0.0 |
|---|
| 660 | de_dyi(num_gp) = de_dy(k,j,i+1) |
|---|
| 661 | de_dzi(num_gp) = de_dz(k,j,i+1) |
|---|
| 662 | ENDIF |
|---|
| 663 | |
|---|
| 664 | ! |
|---|
| 665 | !-- If wall between gridpoint 5 and gridpoint 6, then |
|---|
| 666 | !-- then Neumann boundary condition has to be applied |
|---|
| 667 | IF ( gp_outside_of_building(5) == 1 .AND. & |
|---|
| 668 | gp_outside_of_building(6) == 0 ) THEN |
|---|
| 669 | num_gp = num_gp + 1 |
|---|
| 670 | location(num_gp,1) = (i+1) * dx |
|---|
| 671 | location(num_gp,2) = j * dy + 0.5 * dy |
|---|
| 672 | location(num_gp,3) = k * dz - 0.5 * dz |
|---|
| 673 | ei(num_gp) = e(k,j,i+1) |
|---|
| 674 | dissi(num_gp) = diss(k,j,i+1) |
|---|
| 675 | de_dxi(num_gp) = de_dx(k,j,i+1) |
|---|
| 676 | de_dyi(num_gp) = 0.0 |
|---|
| 677 | de_dzi(num_gp) = de_dz(k,j,i+1) |
|---|
| 678 | ENDIF |
|---|
| 679 | |
|---|
| 680 | IF ( gp_outside_of_building(6) == 1 .AND. & |
|---|
| 681 | gp_outside_of_building(5) == 0 ) THEN |
|---|
| 682 | num_gp = num_gp + 1 |
|---|
| 683 | location(num_gp,1) = (i+1) * dx |
|---|
| 684 | location(num_gp,2) = j * dy + 0.5 * dy |
|---|
| 685 | location(num_gp,3) = k * dz - 0.5 * dz |
|---|
| 686 | ei(num_gp) = e(k,j+1,i+1) |
|---|
| 687 | dissi(num_gp) = diss(k,j+1,i+1) |
|---|
| 688 | de_dxi(num_gp) = de_dx(k,j+1,i+1) |
|---|
| 689 | de_dyi(num_gp) = 0.0 |
|---|
| 690 | de_dzi(num_gp) = de_dz(k,j+1,i+1) |
|---|
| 691 | ENDIF |
|---|
| 692 | |
|---|
| 693 | ! |
|---|
| 694 | !-- If wall between gridpoint 2 and gridpoint 6, then |
|---|
| 695 | !-- Neumann boundary condition has to be applied |
|---|
| 696 | IF ( gp_outside_of_building(2) == 1 .AND. & |
|---|
| 697 | gp_outside_of_building(6) == 0 ) THEN |
|---|
| 698 | num_gp = num_gp + 1 |
|---|
| 699 | location(num_gp,1) = i * dx + 0.5 * dx |
|---|
| 700 | location(num_gp,2) = (j+1) * dy |
|---|
| 701 | location(num_gp,3) = k * dz - 0.5 * dz |
|---|
| 702 | ei(num_gp) = e(k,j+1,i) |
|---|
| 703 | dissi(num_gp) = diss(k,j+1,i) |
|---|
| 704 | de_dxi(num_gp) = 0.0 |
|---|
| 705 | de_dyi(num_gp) = de_dy(k,j+1,i) |
|---|
| 706 | de_dzi(num_gp) = de_dz(k,j+1,i) |
|---|
| 707 | ENDIF |
|---|
| 708 | |
|---|
| 709 | IF ( gp_outside_of_building(6) == 1 .AND. & |
|---|
| 710 | gp_outside_of_building(2) == 0 ) THEN |
|---|
| 711 | num_gp = num_gp + 1 |
|---|
| 712 | location(num_gp,1) = i * dx + 0.5 * dx |
|---|
| 713 | location(num_gp,2) = (j+1) * dy |
|---|
| 714 | location(num_gp,3) = k * dz - 0.5 * dz |
|---|
| 715 | ei(num_gp) = e(k,j+1,i+1) |
|---|
| 716 | dissi(num_gp) = diss(k,j+1,i+1) |
|---|
| 717 | de_dxi(num_gp) = 0.0 |
|---|
| 718 | de_dyi(num_gp) = de_dy(k,j+1,i+1) |
|---|
| 719 | de_dzi(num_gp) = de_dz(k,j+1,i+1) |
|---|
| 720 | ENDIF |
|---|
| 721 | |
|---|
| 722 | ! |
|---|
| 723 | !-- If wall between gridpoint 1 and gridpoint 2, then |
|---|
| 724 | !-- Neumann boundary condition has to be applied |
|---|
| 725 | IF ( gp_outside_of_building(1) == 1 .AND. & |
|---|
| 726 | gp_outside_of_building(2) == 0 ) THEN |
|---|
| 727 | num_gp = num_gp + 1 |
|---|
| 728 | location(num_gp,1) = i * dx |
|---|
| 729 | location(num_gp,2) = j * dy + 0.5 * dy |
|---|
| 730 | location(num_gp,3) = k * dz - 0.5 * dz |
|---|
| 731 | ei(num_gp) = e(k,j,i) |
|---|
| 732 | dissi(num_gp) = diss(k,j,i) |
|---|
| 733 | de_dxi(num_gp) = de_dx(k,j,i) |
|---|
| 734 | de_dyi(num_gp) = 0.0 |
|---|
| 735 | de_dzi(num_gp) = de_dz(k,j,i) |
|---|
| 736 | ENDIF |
|---|
| 737 | |
|---|
| 738 | IF ( gp_outside_of_building(2) == 1 .AND. & |
|---|
| 739 | gp_outside_of_building(1) == 0 ) THEN |
|---|
| 740 | num_gp = num_gp + 1 |
|---|
| 741 | location(num_gp,1) = i * dx |
|---|
| 742 | location(num_gp,2) = j * dy + 0.5 * dy |
|---|
| 743 | location(num_gp,3) = k * dz - 0.5 * dz |
|---|
| 744 | ei(num_gp) = e(k,j+1,i) |
|---|
| 745 | dissi(num_gp) = diss(k,j+1,i) |
|---|
| 746 | de_dxi(num_gp) = de_dx(k,j+1,i) |
|---|
| 747 | de_dyi(num_gp) = 0.0 |
|---|
| 748 | de_dzi(num_gp) = de_dz(k,j+1,i) |
|---|
| 749 | ENDIF |
|---|
| 750 | |
|---|
| 751 | ! |
|---|
| 752 | !-- If wall between gridpoint 3 and gridpoint 7, then |
|---|
| 753 | !-- Neumann boundary condition has to be applied |
|---|
| 754 | IF ( gp_outside_of_building(3) == 1 .AND. & |
|---|
| 755 | gp_outside_of_building(7) == 0 ) THEN |
|---|
| 756 | num_gp = num_gp + 1 |
|---|
| 757 | location(num_gp,1) = i * dx + 0.5 * dx |
|---|
| 758 | location(num_gp,2) = j * dy |
|---|
| 759 | location(num_gp,3) = k * dz + 0.5 * dz |
|---|
| 760 | ei(num_gp) = e(k+1,j,i) |
|---|
| 761 | dissi(num_gp) = diss(k+1,j,i) |
|---|
| 762 | de_dxi(num_gp) = 0.0 |
|---|
| 763 | de_dyi(num_gp) = de_dy(k+1,j,i) |
|---|
| 764 | de_dzi(num_gp) = de_dz(k+1,j,i) |
|---|
| 765 | ENDIF |
|---|
| 766 | |
|---|
| 767 | IF ( gp_outside_of_building(7) == 1 .AND. & |
|---|
| 768 | gp_outside_of_building(3) == 0 ) THEN |
|---|
| 769 | num_gp = num_gp + 1 |
|---|
| 770 | location(num_gp,1) = i * dx + 0.5 * dx |
|---|
| 771 | location(num_gp,2) = j * dy |
|---|
| 772 | location(num_gp,3) = k * dz + 0.5 * dz |
|---|
| 773 | ei(num_gp) = e(k+1,j,i+1) |
|---|
| 774 | dissi(num_gp) = diss(k+1,j,i+1) |
|---|
| 775 | de_dxi(num_gp) = 0.0 |
|---|
| 776 | de_dyi(num_gp) = de_dy(k+1,j,i+1) |
|---|
| 777 | de_dzi(num_gp) = de_dz(k+1,j,i+1) |
|---|
| 778 | ENDIF |
|---|
| 779 | |
|---|
| 780 | ! |
|---|
| 781 | !-- If wall between gridpoint 7 and gridpoint 8, then |
|---|
| 782 | !-- Neumann boundary condition has to be applied |
|---|
| 783 | IF ( gp_outside_of_building(7) == 1 .AND. & |
|---|
| 784 | gp_outside_of_building(8) == 0 ) THEN |
|---|
| 785 | num_gp = num_gp + 1 |
|---|
| 786 | location(num_gp,1) = (i+1) * dx |
|---|
| 787 | location(num_gp,2) = j * dy + 0.5 * dy |
|---|
| 788 | location(num_gp,3) = k * dz + 0.5 * dz |
|---|
| 789 | ei(num_gp) = e(k+1,j,i+1) |
|---|
| 790 | dissi(num_gp) = diss(k+1,j,i+1) |
|---|
| 791 | de_dxi(num_gp) = de_dx(k+1,j,i+1) |
|---|
| 792 | de_dyi(num_gp) = 0.0 |
|---|
| 793 | de_dzi(num_gp) = de_dz(k+1,j,i+1) |
|---|
| 794 | ENDIF |
|---|
| 795 | |
|---|
| 796 | IF ( gp_outside_of_building(8) == 1 .AND. & |
|---|
| 797 | gp_outside_of_building(7) == 0 ) THEN |
|---|
| 798 | num_gp = num_gp + 1 |
|---|
| 799 | location(num_gp,1) = (i+1) * dx |
|---|
| 800 | location(num_gp,2) = j * dy + 0.5 * dy |
|---|
| 801 | location(num_gp,3) = k * dz + 0.5 * dz |
|---|
| 802 | ei(num_gp) = e(k+1,j+1,i+1) |
|---|
| 803 | dissi(num_gp) = diss(k+1,j+1,i+1) |
|---|
| 804 | de_dxi(num_gp) = de_dx(k+1,j+1,i+1) |
|---|
| 805 | de_dyi(num_gp) = 0.0 |
|---|
| 806 | de_dzi(num_gp) = de_dz(k+1,j+1,i+1) |
|---|
| 807 | ENDIF |
|---|
| 808 | |
|---|
| 809 | ! |
|---|
| 810 | !-- If wall between gridpoint 4 and gridpoint 8, then |
|---|
| 811 | !-- Neumann boundary condition has to be applied |
|---|
| 812 | IF ( gp_outside_of_building(4) == 1 .AND. & |
|---|
| 813 | gp_outside_of_building(8) == 0 ) THEN |
|---|
| 814 | num_gp = num_gp + 1 |
|---|
| 815 | location(num_gp,1) = i * dx + 0.5 * dx |
|---|
| 816 | location(num_gp,2) = (j+1) * dy |
|---|
| 817 | location(num_gp,3) = k * dz + 0.5 * dz |
|---|
| 818 | ei(num_gp) = e(k+1,j+1,i) |
|---|
| 819 | dissi(num_gp) = diss(k+1,j+1,i) |
|---|
| 820 | de_dxi(num_gp) = 0.0 |
|---|
| 821 | de_dyi(num_gp) = de_dy(k+1,j+1,i) |
|---|
| 822 | de_dzi(num_gp) = de_dz(k+1,j+1,i) |
|---|
| 823 | ENDIF |
|---|
| 824 | |
|---|
| 825 | IF ( gp_outside_of_building(8) == 1 .AND. & |
|---|
| 826 | gp_outside_of_building(4) == 0 ) THEN |
|---|
| 827 | num_gp = num_gp + 1 |
|---|
| 828 | location(num_gp,1) = i * dx + 0.5 * dx |
|---|
| 829 | location(num_gp,2) = (j+1) * dy |
|---|
| 830 | location(num_gp,3) = k * dz + 0.5 * dz |
|---|
| 831 | ei(num_gp) = e(k+1,j+1,i+1) |
|---|
| 832 | dissi(num_gp) = diss(k+1,j+1,i+1) |
|---|
| 833 | de_dxi(num_gp) = 0.0 |
|---|
| 834 | de_dyi(num_gp) = de_dy(k+1,j+1,i+1) |
|---|
| 835 | de_dzi(num_gp) = de_dz(k+1,j+1,i+1) |
|---|
| 836 | ENDIF |
|---|
| 837 | |
|---|
| 838 | ! |
|---|
| 839 | !-- If wall between gridpoint 3 and gridpoint 4, then |
|---|
| 840 | !-- Neumann boundary condition has to be applied |
|---|
| 841 | IF ( gp_outside_of_building(3) == 1 .AND. & |
|---|
| 842 | gp_outside_of_building(4) == 0 ) THEN |
|---|
| 843 | num_gp = num_gp + 1 |
|---|
| 844 | location(num_gp,1) = i * dx |
|---|
| 845 | location(num_gp,2) = j * dy + 0.5 * dy |
|---|
| 846 | location(num_gp,3) = k * dz + 0.5 * dz |
|---|
| 847 | ei(num_gp) = e(k+1,j,i) |
|---|
| 848 | dissi(num_gp) = diss(k+1,j,i) |
|---|
| 849 | de_dxi(num_gp) = de_dx(k+1,j,i) |
|---|
| 850 | de_dyi(num_gp) = 0.0 |
|---|
| 851 | de_dzi(num_gp) = de_dz(k+1,j,i) |
|---|
| 852 | ENDIF |
|---|
| 853 | |
|---|
| 854 | IF ( gp_outside_of_building(4) == 1 .AND. & |
|---|
| 855 | gp_outside_of_building(3) == 0 ) THEN |
|---|
| 856 | num_gp = num_gp + 1 |
|---|
| 857 | location(num_gp,1) = i * dx |
|---|
| 858 | location(num_gp,2) = j * dy + 0.5 * dy |
|---|
| 859 | location(num_gp,3) = k * dz + 0.5 * dz |
|---|
| 860 | ei(num_gp) = e(k+1,j+1,i) |
|---|
| 861 | dissi(num_gp) = diss(k+1,j+1,i) |
|---|
| 862 | de_dxi(num_gp) = de_dx(k+1,j+1,i) |
|---|
| 863 | de_dyi(num_gp) = 0.0 |
|---|
| 864 | de_dzi(num_gp) = de_dz(k+1,j+1,i) |
|---|
| 865 | ENDIF |
|---|
| 866 | |
|---|
| 867 | ! |
|---|
| 868 | !-- If wall between gridpoint 1 and gridpoint 3, then |
|---|
| 869 | !-- Neumann boundary condition has to be applied |
|---|
| 870 | !-- (only one case as only building beneath is possible) |
|---|
| 871 | IF ( gp_outside_of_building(1) == 0 .AND. & |
|---|
| 872 | gp_outside_of_building(3) == 1 ) THEN |
|---|
| 873 | num_gp = num_gp + 1 |
|---|
| 874 | location(num_gp,1) = i * dx |
|---|
| 875 | location(num_gp,2) = j * dy |
|---|
| 876 | location(num_gp,3) = k * dz |
|---|
| 877 | ei(num_gp) = e(k+1,j,i) |
|---|
| 878 | dissi(num_gp) = diss(k+1,j,i) |
|---|
| 879 | de_dxi(num_gp) = de_dx(k+1,j,i) |
|---|
| 880 | de_dyi(num_gp) = de_dy(k+1,j,i) |
|---|
| 881 | de_dzi(num_gp) = 0.0 |
|---|
| 882 | ENDIF |
|---|
| 883 | |
|---|
| 884 | ! |
|---|
| 885 | !-- If wall between gridpoint 5 and gridpoint 7, then |
|---|
| 886 | !-- Neumann boundary condition has to be applied |
|---|
| 887 | !-- (only one case as only building beneath is possible) |
|---|
| 888 | IF ( gp_outside_of_building(5) == 0 .AND. & |
|---|
| 889 | gp_outside_of_building(7) == 1 ) THEN |
|---|
| 890 | num_gp = num_gp + 1 |
|---|
| 891 | location(num_gp,1) = (i+1) * dx |
|---|
| 892 | location(num_gp,2) = j * dy |
|---|
| 893 | location(num_gp,3) = k * dz |
|---|
| 894 | ei(num_gp) = e(k+1,j,i+1) |
|---|
| 895 | dissi(num_gp) = diss(k+1,j,i+1) |
|---|
| 896 | de_dxi(num_gp) = de_dx(k+1,j,i+1) |
|---|
| 897 | de_dyi(num_gp) = de_dy(k+1,j,i+1) |
|---|
| 898 | de_dzi(num_gp) = 0.0 |
|---|
| 899 | ENDIF |
|---|
| 900 | |
|---|
| 901 | ! |
|---|
| 902 | !-- If wall between gridpoint 2 and gridpoint 4, then |
|---|
| 903 | !-- Neumann boundary condition has to be applied |
|---|
| 904 | !-- (only one case as only building beneath is possible) |
|---|
| 905 | IF ( gp_outside_of_building(2) == 0 .AND. & |
|---|
| 906 | gp_outside_of_building(4) == 1 ) THEN |
|---|
| 907 | num_gp = num_gp + 1 |
|---|
| 908 | location(num_gp,1) = i * dx |
|---|
| 909 | location(num_gp,2) = (j+1) * dy |
|---|
| 910 | location(num_gp,3) = k * dz |
|---|
| 911 | ei(num_gp) = e(k+1,j+1,i) |
|---|
| 912 | dissi(num_gp) = diss(k+1,j+1,i) |
|---|
| 913 | de_dxi(num_gp) = de_dx(k+1,j+1,i) |
|---|
| 914 | de_dyi(num_gp) = de_dy(k+1,j+1,i) |
|---|
| 915 | de_dzi(num_gp) = 0.0 |
|---|
| 916 | ENDIF |
|---|
| 917 | |
|---|
| 918 | ! |
|---|
| 919 | !-- If wall between gridpoint 6 and gridpoint 8, then |
|---|
| 920 | !-- Neumann boundary condition has to be applied |
|---|
| 921 | !-- (only one case as only building beneath is possible) |
|---|
| 922 | IF ( gp_outside_of_building(6) == 0 .AND. & |
|---|
| 923 | gp_outside_of_building(8) == 1 ) THEN |
|---|
| 924 | num_gp = num_gp + 1 |
|---|
| 925 | location(num_gp,1) = (i+1) * dx |
|---|
| 926 | location(num_gp,2) = (j+1) * dy |
|---|
| 927 | location(num_gp,3) = k * dz |
|---|
| 928 | ei(num_gp) = e(k+1,j+1,i+1) |
|---|
| 929 | dissi(num_gp) = diss(k+1,j+1,i+1) |
|---|
| 930 | de_dxi(num_gp) = de_dx(k+1,j+1,i+1) |
|---|
| 931 | de_dyi(num_gp) = de_dy(k+1,j+1,i+1) |
|---|
| 932 | de_dzi(num_gp) = 0.0 |
|---|
| 933 | ENDIF |
|---|
| 934 | |
|---|
| 935 | ! |
|---|
| 936 | !-- Carry out the interpolation |
|---|
| 937 | IF ( num_gp == 1 ) THEN |
|---|
| 938 | ! |
|---|
| 939 | !-- If only one of the gridpoints is situated outside of the |
|---|
| 940 | !-- building, it follows that the values at the particle |
|---|
| 941 | !-- location are the same as the gridpoint values |
|---|
| 942 | e_int = ei(num_gp) |
|---|
| 943 | diss_int = dissi(num_gp) |
|---|
| 944 | de_dx_int = de_dxi(num_gp) |
|---|
| 945 | de_dy_int = de_dyi(num_gp) |
|---|
| 946 | de_dz_int = de_dzi(num_gp) |
|---|
| 947 | ELSE IF ( num_gp > 1 ) THEN |
|---|
| 948 | |
|---|
| 949 | d_sum = 0.0 |
|---|
| 950 | ! |
|---|
| 951 | !-- Evaluation of the distances between the gridpoints |
|---|
| 952 | !-- contributing to the interpolated values, and the particle |
|---|
| 953 | !-- location |
|---|
| 954 | DO agp = 1, num_gp |
|---|
| 955 | d_gp_pl(agp) = ( particles(n)%x-location(agp,1) )**2 & |
|---|
| 956 | + ( particles(n)%y-location(agp,2) )**2 & |
|---|
| 957 | + ( particles(n)%z-location(agp,3) )**2 |
|---|
| 958 | d_sum = d_sum + d_gp_pl(agp) |
|---|
| 959 | ENDDO |
|---|
| 960 | |
|---|
| 961 | ! |
|---|
| 962 | !-- Finally the interpolation can be carried out |
|---|
| 963 | e_int = 0.0 |
|---|
| 964 | diss_int = 0.0 |
|---|
| 965 | de_dx_int = 0.0 |
|---|
| 966 | de_dy_int = 0.0 |
|---|
| 967 | de_dz_int = 0.0 |
|---|
| 968 | DO agp = 1, num_gp |
|---|
| 969 | e_int = e_int + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 970 | ei(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 971 | diss_int = diss_int + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 972 | dissi(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 973 | de_dx_int = de_dx_int + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 974 | de_dxi(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 975 | de_dy_int = de_dy_int + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 976 | de_dyi(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 977 | de_dz_int = de_dz_int + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 978 | de_dzi(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 979 | ENDDO |
|---|
| 980 | |
|---|
| 981 | ENDIF |
|---|
| 982 | |
|---|
| 983 | ENDIF |
|---|
| 984 | |
|---|
| 985 | ENDIF |
|---|
| 986 | |
|---|
| 987 | ! |
|---|
| 988 | !-- Vertically interpolate the horizontally averaged SGS TKE and |
|---|
| 989 | !-- resolved-scale velocity variances and use the interpolated values |
|---|
| 990 | !-- to calculate the coefficient fs, which is a measure of the ratio |
|---|
| 991 | !-- of the subgrid-scale turbulent kinetic energy to the total amount |
|---|
| 992 | !-- of turbulent kinetic energy. |
|---|
| 993 | IF ( k == 0 ) THEN |
|---|
| 994 | e_mean_int = hom(0,1,8,0) |
|---|
| 995 | ELSE |
|---|
| 996 | e_mean_int = hom(k,1,8,0) + & |
|---|
| 997 | ( hom(k+1,1,8,0) - hom(k,1,8,0) ) / & |
|---|
| 998 | ( zu(k+1) - zu(k) ) * & |
|---|
| 999 | ( particles(n)%z - zu(k) ) |
|---|
| 1000 | ENDIF |
|---|
| 1001 | |
|---|
| 1002 | kw = particles(n)%z / dz |
|---|
| 1003 | |
|---|
| 1004 | IF ( k == 0 ) THEN |
|---|
| 1005 | aa = hom(k+1,1,30,0) * ( particles(n)%z / & |
|---|
| 1006 | ( 0.5 * ( zu(k+1) - zu(k) ) ) ) |
|---|
| 1007 | bb = hom(k+1,1,31,0) * ( particles(n)%z / & |
|---|
| 1008 | ( 0.5 * ( zu(k+1) - zu(k) ) ) ) |
|---|
| 1009 | cc = hom(kw+1,1,32,0) * ( particles(n)%z / & |
|---|
| 1010 | ( 1.0 * ( zw(kw+1) - zw(kw) ) ) ) |
|---|
| 1011 | ELSE |
|---|
| 1012 | aa = hom(k,1,30,0) + ( hom(k+1,1,30,0) - hom(k,1,30,0) ) * & |
|---|
| 1013 | ( ( particles(n)%z - zu(k) ) / ( zu(k+1) - zu(k) ) ) |
|---|
| 1014 | bb = hom(k,1,31,0) + ( hom(k+1,1,31,0) - hom(k,1,31,0) ) * & |
|---|
| 1015 | ( ( particles(n)%z - zu(k) ) / ( zu(k+1) - zu(k) ) ) |
|---|
| 1016 | cc = hom(kw,1,32,0) + ( hom(kw+1,1,32,0)-hom(kw,1,32,0) ) *& |
|---|
| 1017 | ( ( particles(n)%z - zw(kw) ) / ( zw(kw+1)-zw(kw) ) ) |
|---|
| 1018 | ENDIF |
|---|
| 1019 | |
|---|
| 1020 | vv_int = ( 1.0 / 3.0 ) * ( aa + bb + cc ) |
|---|
| 1021 | |
|---|
| 1022 | fs_int = ( 2.0 / 3.0 ) * e_mean_int / & |
|---|
| 1023 | ( vv_int + ( 2.0 / 3.0 ) * e_mean_int ) |
|---|
| 1024 | |
|---|
| 1025 | ! |
|---|
| 1026 | !-- Calculate the Lagrangian timescale according to Weil et al. (2004). |
|---|
| 1027 | lagr_timescale = ( 4.0 * e_int ) / & |
|---|
| 1028 | ( 3.0 * fs_int * c_0 * diss_int ) |
|---|
| 1029 | |
|---|
| 1030 | ! |
|---|
| 1031 | !-- Calculate the next particle timestep. dt_gap is the time needed to |
|---|
| 1032 | !-- complete the current LES timestep. |
|---|
| 1033 | dt_gap = dt_3d - particles(n)%dt_sum |
|---|
| 1034 | dt_particle = MIN( dt_3d, 0.025 * lagr_timescale, dt_gap ) |
|---|
| 1035 | |
|---|
| 1036 | ! |
|---|
| 1037 | !-- The particle timestep should not be too small in order to prevent |
|---|
| 1038 | !-- the number of particle timesteps of getting too large |
|---|
| 1039 | IF ( dt_particle < dt_min_part .AND. dt_min_part < dt_gap ) & |
|---|
| 1040 | THEN |
|---|
| 1041 | dt_particle = dt_min_part |
|---|
| 1042 | ENDIF |
|---|
| 1043 | |
|---|
| 1044 | ! |
|---|
| 1045 | !-- Calculate the SGS velocity components |
|---|
| 1046 | IF ( particles(n)%age == 0.0 ) THEN |
|---|
| 1047 | ! |
|---|
| 1048 | !-- For new particles the SGS components are derived from the SGS |
|---|
| 1049 | !-- TKE. Limit the Gaussian random number to the interval |
|---|
| 1050 | !-- [-5.0*sigma, 5.0*sigma] in order to prevent the SGS velocities |
|---|
| 1051 | !-- from becoming unrealistically large. |
|---|
| 1052 | particles(n)%rvar1 = SQRT( 2.0 * sgs_wfu_part * e_int ) * & |
|---|
| 1053 | ( random_gauss( iran_part, 5.0 ) - 1.0 ) |
|---|
| 1054 | particles(n)%rvar2 = SQRT( 2.0 * sgs_wfv_part * e_int ) * & |
|---|
| 1055 | ( random_gauss( iran_part, 5.0 ) - 1.0 ) |
|---|
| 1056 | particles(n)%rvar3 = SQRT( 2.0 * sgs_wfw_part * e_int ) * & |
|---|
| 1057 | ( random_gauss( iran_part, 5.0 ) - 1.0 ) |
|---|
| 1058 | |
|---|
| 1059 | ELSE |
|---|
| 1060 | |
|---|
| 1061 | ! |
|---|
| 1062 | !-- Restriction of the size of the new timestep: compared to the |
|---|
| 1063 | !-- previous timestep the increase must not exceed 200% |
|---|
| 1064 | |
|---|
| 1065 | dt_particle_m = particles(n)%age - particles(n)%age_m |
|---|
| 1066 | IF ( dt_particle > 2.0 * dt_particle_m ) THEN |
|---|
| 1067 | dt_particle = 2.0 * dt_particle_m |
|---|
| 1068 | ENDIF |
|---|
| 1069 | |
|---|
| 1070 | ! |
|---|
| 1071 | !-- For old particles the SGS components are correlated with the |
|---|
| 1072 | !-- values from the previous timestep. Random numbers have also to |
|---|
| 1073 | !-- be limited (see above). |
|---|
| 1074 | !-- As negative values for the subgrid TKE are not allowed, the |
|---|
| 1075 | !-- change of the subgrid TKE with time cannot be smaller than |
|---|
| 1076 | !-- -e_int/dt_particle. This value is used as a lower boundary |
|---|
| 1077 | !-- value for the change of TKE |
|---|
| 1078 | |
|---|
| 1079 | de_dt_min = - e_int / dt_particle |
|---|
| 1080 | |
|---|
| 1081 | de_dt = ( e_int - particles(n)%e_m ) / dt_particle_m |
|---|
| 1082 | |
|---|
| 1083 | IF ( de_dt < de_dt_min ) THEN |
|---|
| 1084 | de_dt = de_dt_min |
|---|
| 1085 | ENDIF |
|---|
| 1086 | |
|---|
| 1087 | particles(n)%rvar1 = particles(n)%rvar1 - fs_int * c_0 * & |
|---|
| 1088 | diss_int * particles(n)%rvar1 * dt_particle /& |
|---|
| 1089 | ( 4.0 * sgs_wfu_part * e_int ) + & |
|---|
| 1090 | ( 2.0 * sgs_wfu_part * de_dt * & |
|---|
| 1091 | particles(n)%rvar1 / & |
|---|
| 1092 | ( 2.0 * sgs_wfu_part * e_int ) + de_dx_int & |
|---|
| 1093 | ) * dt_particle / 2.0 + & |
|---|
| 1094 | SQRT( fs_int * c_0 * diss_int ) * & |
|---|
| 1095 | ( random_gauss( iran_part, 5.0 ) - 1.0 ) * & |
|---|
| 1096 | SQRT( dt_particle ) |
|---|
| 1097 | |
|---|
| 1098 | particles(n)%rvar2 = particles(n)%rvar2 - fs_int * c_0 * & |
|---|
| 1099 | diss_int * particles(n)%rvar2 * dt_particle /& |
|---|
| 1100 | ( 4.0 * sgs_wfv_part * e_int ) + & |
|---|
| 1101 | ( 2.0 * sgs_wfv_part * de_dt * & |
|---|
| 1102 | particles(n)%rvar2 / & |
|---|
| 1103 | ( 2.0 * sgs_wfv_part * e_int ) + de_dy_int & |
|---|
| 1104 | ) * dt_particle / 2.0 + & |
|---|
| 1105 | SQRT( fs_int * c_0 * diss_int ) * & |
|---|
| 1106 | ( random_gauss( iran_part, 5.0 ) - 1.0 ) * & |
|---|
| 1107 | SQRT( dt_particle ) |
|---|
| 1108 | |
|---|
| 1109 | particles(n)%rvar3 = particles(n)%rvar3 - fs_int * c_0 * & |
|---|
| 1110 | diss_int * particles(n)%rvar3 * dt_particle /& |
|---|
| 1111 | ( 4.0 * sgs_wfw_part * e_int ) + & |
|---|
| 1112 | ( 2.0 * sgs_wfw_part * de_dt * & |
|---|
| 1113 | particles(n)%rvar3 / & |
|---|
| 1114 | ( 2.0 * sgs_wfw_part * e_int ) + de_dz_int & |
|---|
| 1115 | ) * dt_particle / 2.0 + & |
|---|
| 1116 | SQRT( fs_int * c_0 * diss_int ) * & |
|---|
| 1117 | ( random_gauss( iran_part, 5.0 ) - 1.0 ) * & |
|---|
| 1118 | SQRT( dt_particle ) |
|---|
| 1119 | |
|---|
| 1120 | ENDIF |
|---|
| 1121 | |
|---|
| 1122 | u_int = u_int + particles(n)%rvar1 |
|---|
| 1123 | v_int = v_int + particles(n)%rvar2 |
|---|
| 1124 | w_int = w_int + particles(n)%rvar3 |
|---|
| 1125 | |
|---|
| 1126 | ! |
|---|
| 1127 | !-- Store the SGS TKE of the current timelevel which is needed for |
|---|
| 1128 | !-- for calculating the SGS particle velocities at the next timestep |
|---|
| 1129 | particles(n)%e_m = e_int |
|---|
| 1130 | |
|---|
| 1131 | ELSE |
|---|
| 1132 | ! |
|---|
| 1133 | !-- If no SGS velocities are used, only the particle timestep has to |
|---|
| 1134 | !-- be set |
|---|
| 1135 | dt_particle = dt_3d |
|---|
| 1136 | |
|---|
| 1137 | ENDIF |
|---|
| 1138 | |
|---|
| 1139 | ! |
|---|
| 1140 | !-- Store the old age of the particle ( needed to prevent that a |
|---|
| 1141 | !-- particle crosses several PEs during one timestep, and for the |
|---|
| 1142 | !-- evaluation of the subgrid particle velocity fluctuations ) |
|---|
| 1143 | particles(n)%age_m = particles(n)%age |
|---|
| 1144 | |
|---|
| 1145 | |
|---|
| 1146 | ! |
|---|
| 1147 | !-- Particle advection |
|---|
| 1148 | IF ( particle_groups(particles(n)%group)%density_ratio == 0.0 ) THEN |
|---|
| 1149 | ! |
|---|
| 1150 | !-- Pure passive transport (without particle inertia) |
|---|
| 1151 | particles(n)%x = particles(n)%x + u_int * dt_particle |
|---|
| 1152 | particles(n)%y = particles(n)%y + v_int * dt_particle |
|---|
| 1153 | particles(n)%z = particles(n)%z + w_int * dt_particle |
|---|
| 1154 | |
|---|
| 1155 | particles(n)%speed_x = u_int |
|---|
| 1156 | particles(n)%speed_y = v_int |
|---|
| 1157 | particles(n)%speed_z = w_int |
|---|
| 1158 | |
|---|
| 1159 | ELSE |
|---|
| 1160 | ! |
|---|
| 1161 | !-- Transport of particles with inertia |
|---|
| 1162 | particles(n)%x = particles(n)%x + particles(n)%speed_x * & |
|---|
| 1163 | dt_particle |
|---|
| 1164 | particles(n)%y = particles(n)%y + particles(n)%speed_y * & |
|---|
| 1165 | dt_particle |
|---|
| 1166 | particles(n)%z = particles(n)%z + particles(n)%speed_z * & |
|---|
| 1167 | dt_particle |
|---|
| 1168 | |
|---|
| 1169 | ! |
|---|
| 1170 | !-- Update of the particle velocity |
|---|
| 1171 | dens_ratio = particle_groups(particles(n)%group)%density_ratio |
|---|
| 1172 | IF ( cloud_droplets ) THEN |
|---|
| 1173 | exp_arg = 4.5 * dens_ratio * molecular_viscosity / & |
|---|
| 1174 | ( particles(n)%radius )**2 * & |
|---|
| 1175 | ( 1.0 + 0.15 * ( 2.0 * particles(n)%radius * & |
|---|
| 1176 | SQRT( ( u_int - particles(n)%speed_x )**2 + & |
|---|
| 1177 | ( v_int - particles(n)%speed_y )**2 + & |
|---|
| 1178 | ( w_int - particles(n)%speed_z )**2 ) / & |
|---|
| 1179 | molecular_viscosity )**0.687 & |
|---|
| 1180 | ) |
|---|
| 1181 | exp_term = EXP( -exp_arg * dt_particle ) |
|---|
| 1182 | ELSEIF ( use_sgs_for_particles ) THEN |
|---|
| 1183 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
|---|
| 1184 | exp_term = EXP( -exp_arg * dt_particle ) |
|---|
| 1185 | ELSE |
|---|
| 1186 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
|---|
| 1187 | exp_term = particle_groups(particles(n)%group)%exp_term |
|---|
| 1188 | ENDIF |
|---|
| 1189 | particles(n)%speed_x = particles(n)%speed_x * exp_term + & |
|---|
| 1190 | u_int * ( 1.0 - exp_term ) |
|---|
| 1191 | particles(n)%speed_y = particles(n)%speed_y * exp_term + & |
|---|
| 1192 | v_int * ( 1.0 - exp_term ) |
|---|
| 1193 | particles(n)%speed_z = particles(n)%speed_z * exp_term + & |
|---|
| 1194 | ( w_int - ( 1.0 - dens_ratio ) * g / exp_arg )& |
|---|
| 1195 | * ( 1.0 - exp_term ) |
|---|
| 1196 | ENDIF |
|---|
| 1197 | |
|---|
| 1198 | ! |
|---|
| 1199 | !-- Increment the particle age and the total time that the particle |
|---|
| 1200 | !-- has advanced within the particle timestep procedure |
|---|
| 1201 | particles(n)%age = particles(n)%age + dt_particle |
|---|
| 1202 | particles(n)%dt_sum = particles(n)%dt_sum + dt_particle |
|---|
| 1203 | |
|---|
| 1204 | ! |
|---|
| 1205 | !-- Check whether there is still a particle that has not yet completed |
|---|
| 1206 | !-- the total LES timestep |
|---|
| 1207 | IF ( ( dt_3d - particles(n)%dt_sum ) > 1E-8 ) THEN |
|---|
| 1208 | dt_3d_reached_l = .FALSE. |
|---|
| 1209 | ENDIF |
|---|
| 1210 | |
|---|
| 1211 | ENDDO |
|---|
| 1212 | |
|---|
| 1213 | |
|---|
| 1214 | END SUBROUTINE lpm_advec |
|---|
