| 1 | SUBROUTINE lpm_advec (ip,jp,kp) |
|---|
| 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 | ! usage of module interfaces removed |
|---|
| 23 | ! |
|---|
| 24 | ! Former revisions: |
|---|
| 25 | ! ----------------- |
|---|
| 26 | ! $Id: lpm_advec.f90 1369 2014-04-24 05:57:38Z raasch $ |
|---|
| 27 | ! |
|---|
| 28 | ! 1359 2014-04-11 17:15:14Z hoffmann |
|---|
| 29 | ! New particle structure integrated. |
|---|
| 30 | ! Kind definition added to all floating point numbers. |
|---|
| 31 | ! |
|---|
| 32 | ! 1322 2014-03-20 16:38:49Z raasch |
|---|
| 33 | ! REAL constants defined as wp_kind |
|---|
| 34 | ! |
|---|
| 35 | ! 1320 2014-03-20 08:40:49Z raasch |
|---|
| 36 | ! ONLY-attribute added to USE-statements, |
|---|
| 37 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
|---|
| 38 | ! kinds are defined in new module kinds, |
|---|
| 39 | ! revision history before 2012 removed, |
|---|
| 40 | ! comment fields (!:) to be used for variable explanations added to |
|---|
| 41 | ! all variable declaration statements |
|---|
| 42 | ! |
|---|
| 43 | ! 1314 2014-03-14 18:25:17Z suehring |
|---|
| 44 | ! Vertical logarithmic interpolation of horizontal particle speed for particles |
|---|
| 45 | ! between roughness height and first vertical grid level. |
|---|
| 46 | ! |
|---|
| 47 | ! 1036 2012-10-22 13:43:42Z raasch |
|---|
| 48 | ! code put under GPL (PALM 3.9) |
|---|
| 49 | ! |
|---|
| 50 | ! 849 2012-03-15 10:35:09Z raasch |
|---|
| 51 | ! initial revision (former part of advec_particles) |
|---|
| 52 | ! |
|---|
| 53 | ! |
|---|
| 54 | ! Description: |
|---|
| 55 | ! ------------ |
|---|
| 56 | ! Calculation of new particle positions due to advection using a simple Euler |
|---|
| 57 | ! scheme. Particles may feel inertia effects. SGS transport can be included |
|---|
| 58 | ! using the stochastic model of Weil et al. (2004, JAS, 61, 2877-2887). |
|---|
| 59 | !------------------------------------------------------------------------------! |
|---|
| 60 | |
|---|
| 61 | USE arrays_3d, & |
|---|
| 62 | ONLY: de_dx, de_dy, de_dz, diss, e, u, us, usws, v, vsws, w, z0, zu, & |
|---|
| 63 | zw |
|---|
| 64 | |
|---|
| 65 | USE cpulog |
|---|
| 66 | |
|---|
| 67 | USE pegrid |
|---|
| 68 | |
|---|
| 69 | USE control_parameters, & |
|---|
| 70 | ONLY: atmos_ocean_sign, cloud_droplets, dt_3d, dt_3d_reached_l, dz, & |
|---|
| 71 | g, kappa, molecular_viscosity, prandtl_layer, topography, & |
|---|
| 72 | u_gtrans, v_gtrans, simulated_time |
|---|
| 73 | |
|---|
| 74 | USE grid_variables, & |
|---|
| 75 | ONLY: ddx, dx, ddy, dy |
|---|
| 76 | |
|---|
| 77 | USE indices, & |
|---|
| 78 | ONLY: nzb, nzb_s_inner, nzt |
|---|
| 79 | |
|---|
| 80 | USE kinds |
|---|
| 81 | |
|---|
| 82 | USE particle_attributes, & |
|---|
| 83 | ONLY: block_offset, c_0, density_ratio, dt_min_part, grid_particles, & |
|---|
| 84 | iran_part, log_z_z0, number_of_particles, number_of_sublayers, & |
|---|
| 85 | particles, particle_groups, offset_ocean_nzt, & |
|---|
| 86 | offset_ocean_nzt_m1, sgs_wfu_part, sgs_wfv_part, sgs_wfw_part, & |
|---|
| 87 | use_sgs_for_particles, vertical_particle_advection, z0_av_global |
|---|
| 88 | |
|---|
| 89 | USE statistics, & |
|---|
| 90 | ONLY: hom |
|---|
| 91 | |
|---|
| 92 | IMPLICIT NONE |
|---|
| 93 | |
|---|
| 94 | INTEGER(iwp) :: agp !: |
|---|
| 95 | INTEGER(iwp) :: gp_outside_of_building(1:8) !: |
|---|
| 96 | INTEGER(iwp) :: i !: |
|---|
| 97 | INTEGER(iwp) :: ip !: |
|---|
| 98 | INTEGER(iwp) :: j !: |
|---|
| 99 | INTEGER(iwp) :: jp !: |
|---|
| 100 | INTEGER(iwp) :: k !: |
|---|
| 101 | INTEGER(iwp) :: kp !: |
|---|
| 102 | INTEGER(iwp) :: kw !: |
|---|
| 103 | INTEGER(iwp) :: n !: |
|---|
| 104 | INTEGER(iwp) :: nb !: |
|---|
| 105 | INTEGER(iwp) :: num_gp !: |
|---|
| 106 | |
|---|
| 107 | INTEGER(iwp), DIMENSION(0:7) :: start_index !: |
|---|
| 108 | INTEGER(iwp), DIMENSION(0:7) :: end_index !: |
|---|
| 109 | |
|---|
| 110 | REAL(wp) :: aa !: |
|---|
| 111 | REAL(wp) :: bb !: |
|---|
| 112 | REAL(wp) :: cc !: |
|---|
| 113 | REAL(wp) :: d_sum !: |
|---|
| 114 | REAL(wp) :: d_z_p_z0 !: |
|---|
| 115 | REAL(wp) :: dd !: |
|---|
| 116 | REAL(wp) :: de_dx_int_l !: |
|---|
| 117 | REAL(wp) :: de_dx_int_u !: |
|---|
| 118 | REAL(wp) :: de_dy_int_l !: |
|---|
| 119 | REAL(wp) :: de_dy_int_u !: |
|---|
| 120 | REAL(wp) :: de_dt !: |
|---|
| 121 | REAL(wp) :: de_dt_min !: |
|---|
| 122 | REAL(wp) :: de_dz_int_l !: |
|---|
| 123 | REAL(wp) :: de_dz_int_u !: |
|---|
| 124 | REAL(wp) :: diss_int_l !: |
|---|
| 125 | REAL(wp) :: diss_int_u !: |
|---|
| 126 | REAL(wp) :: dt_gap !: |
|---|
| 127 | REAL(wp) :: dt_particle_m !: |
|---|
| 128 | REAL(wp) :: e_int_l !: |
|---|
| 129 | REAL(wp) :: e_int_u !: |
|---|
| 130 | REAL(wp) :: e_mean_int !: |
|---|
| 131 | REAL(wp) :: exp_arg !: |
|---|
| 132 | REAL(wp) :: exp_term !: |
|---|
| 133 | REAL(wp) :: gg !: |
|---|
| 134 | REAL(wp) :: height_int !: |
|---|
| 135 | REAL(wp) :: height_p !: |
|---|
| 136 | REAL(wp) :: lagr_timescale !: |
|---|
| 137 | REAL(wp) :: location(1:30,1:3) !: |
|---|
| 138 | REAL(wp) :: random_gauss !: |
|---|
| 139 | REAL(wp) :: u_int_l !: |
|---|
| 140 | REAL(wp) :: u_int_u !: |
|---|
| 141 | REAL(wp) :: us_int !: |
|---|
| 142 | REAL(wp) :: v_int_l !: |
|---|
| 143 | REAL(wp) :: v_int_u !: |
|---|
| 144 | REAL(wp) :: vv_int !: |
|---|
| 145 | REAL(wp) :: w_int_l !: |
|---|
| 146 | REAL(wp) :: w_int_u !: |
|---|
| 147 | REAL(wp) :: x !: |
|---|
| 148 | REAL(wp) :: y !: |
|---|
| 149 | REAL(wp) :: z_p !: |
|---|
| 150 | |
|---|
| 151 | REAL(wp), DIMENSION(1:30) :: d_gp_pl !: |
|---|
| 152 | REAL(wp), DIMENSION(1:30) :: de_dxi !: |
|---|
| 153 | REAL(wp), DIMENSION(1:30) :: de_dyi !: |
|---|
| 154 | REAL(wp), DIMENSION(1:30) :: de_dzi !: |
|---|
| 155 | REAL(wp), DIMENSION(1:30) :: dissi !: |
|---|
| 156 | REAL(wp), DIMENSION(1:30) :: ei !: |
|---|
| 157 | |
|---|
| 158 | REAL(wp), DIMENSION(number_of_particles) :: dens_ratio !: |
|---|
| 159 | REAL(wp), DIMENSION(number_of_particles) :: de_dx_int !: |
|---|
| 160 | REAL(wp), DIMENSION(number_of_particles) :: de_dy_int !: |
|---|
| 161 | REAL(wp), DIMENSION(number_of_particles) :: de_dz_int !: |
|---|
| 162 | REAL(wp), DIMENSION(number_of_particles) :: diss_int !: |
|---|
| 163 | REAL(wp), DIMENSION(number_of_particles) :: dt_particle !: |
|---|
| 164 | REAL(wp), DIMENSION(number_of_particles) :: e_int !: |
|---|
| 165 | REAL(wp), DIMENSION(number_of_particles) :: fs_int !: |
|---|
| 166 | REAL(wp), DIMENSION(number_of_particles) :: log_z_z0_int !: |
|---|
| 167 | REAL(wp), DIMENSION(number_of_particles) :: u_int !: |
|---|
| 168 | REAL(wp), DIMENSION(number_of_particles) :: v_int !: |
|---|
| 169 | REAL(wp), DIMENSION(number_of_particles) :: w_int !: |
|---|
| 170 | REAL(wp), DIMENSION(number_of_particles) :: xv !: |
|---|
| 171 | REAL(wp), DIMENSION(number_of_particles) :: yv !: |
|---|
| 172 | REAL(wp), DIMENSION(number_of_particles) :: zv !: |
|---|
| 173 | |
|---|
| 174 | REAL(wp), DIMENSION(number_of_particles, 3) :: rg !: |
|---|
| 175 | |
|---|
| 176 | CALL cpu_log( log_point_s(44), 'lpm_advec', 'continue' ) |
|---|
| 177 | |
|---|
| 178 | ! |
|---|
| 179 | !-- Determine height of Prandtl layer and distance between Prandtl-layer |
|---|
| 180 | !-- height and horizontal mean roughness height, which are required for |
|---|
| 181 | !-- vertical logarithmic interpolation of horizontal particle speeds |
|---|
| 182 | !-- (for particles below first vertical grid level). |
|---|
| 183 | z_p = zu(nzb+1) - zw(nzb) |
|---|
| 184 | d_z_p_z0 = 1.0_wp / ( z_p - z0_av_global ) |
|---|
| 185 | |
|---|
| 186 | start_index = grid_particles(kp,jp,ip)%start_index |
|---|
| 187 | end_index = grid_particles(kp,jp,ip)%end_index |
|---|
| 188 | |
|---|
| 189 | xv = particles(1:number_of_particles)%x |
|---|
| 190 | yv = particles(1:number_of_particles)%y |
|---|
| 191 | zv = particles(1:number_of_particles)%z |
|---|
| 192 | |
|---|
| 193 | DO nb = 0, 7 |
|---|
| 194 | |
|---|
| 195 | i = ip |
|---|
| 196 | j = jp + block_offset(nb)%j_off |
|---|
| 197 | k = kp + block_offset(nb)%k_off |
|---|
| 198 | |
|---|
| 199 | ! |
|---|
| 200 | !-- Interpolate u velocity-component |
|---|
| 201 | DO n = start_index(nb), end_index(nb) |
|---|
| 202 | ! |
|---|
| 203 | !-- Interpolation of the u velocity component onto particle position. |
|---|
| 204 | !-- Particles are interpolation bi-linearly in the horizontal and a |
|---|
| 205 | !-- linearly in the vertical. An exception is made for particles below |
|---|
| 206 | !-- the first vertical grid level in case of a prandtl layer. In this |
|---|
| 207 | !-- case the horizontal particle velocity components are determined using |
|---|
| 208 | !-- Monin-Obukhov relations (if branch). |
|---|
| 209 | !-- First, check if particle is located below first vertical grid level |
|---|
| 210 | !-- (Prandtl-layer height) |
|---|
| 211 | IF ( prandtl_layer .AND. particles(n)%z < z_p ) THEN |
|---|
| 212 | ! |
|---|
| 213 | !-- Resolved-scale horizontal particle velocity is zero below z0. |
|---|
| 214 | IF ( particles(n)%z < z0_av_global ) THEN |
|---|
| 215 | u_int(n) = 0.0_wp |
|---|
| 216 | ELSE |
|---|
| 217 | ! |
|---|
| 218 | !-- Determine the sublayer. Further used as index. |
|---|
| 219 | height_p = ( particles(n)%z - z0_av_global ) & |
|---|
| 220 | * REAL( number_of_sublayers, KIND=wp ) & |
|---|
| 221 | * d_z_p_z0 |
|---|
| 222 | ! |
|---|
| 223 | !-- Calculate LOG(z/z0) for exact particle height. Therefore, |
|---|
| 224 | !-- interpolate linearly between precalculated logarithm. |
|---|
| 225 | log_z_z0_int(n) = log_z_z0(INT(height_p)) & |
|---|
| 226 | + ( height_p - INT(height_p) ) & |
|---|
| 227 | * ( log_z_z0(INT(height_p)+1) & |
|---|
| 228 | - log_z_z0(INT(height_p)) & |
|---|
| 229 | ) |
|---|
| 230 | ! |
|---|
| 231 | !-- Neutral solution is applied for all situations, e.g. also for |
|---|
| 232 | !-- unstable and stable situations. Even though this is not exact |
|---|
| 233 | !-- this saves a lot of CPU time since several calls of intrinsic |
|---|
| 234 | !-- FORTRAN procedures (LOG, ATAN) are avoided, This is justified |
|---|
| 235 | !-- as sensitivity studies revealed no significant effect of |
|---|
| 236 | !-- using the neutral solution also for un/stable situations. |
|---|
| 237 | !-- Calculated left and bottom index on u grid. |
|---|
| 238 | us_int = 0.5_wp * ( us(j,i) + us(j,i-1) ) |
|---|
| 239 | |
|---|
| 240 | u_int = -usws(j,i) / ( us_int * kappa + 1E-10_wp ) & |
|---|
| 241 | * log_z_z0_int(n) |
|---|
| 242 | |
|---|
| 243 | ENDIF |
|---|
| 244 | ! |
|---|
| 245 | !-- Particle above the first grid level. Bi-linear interpolation in the |
|---|
| 246 | !-- horizontal and linear interpolation in the vertical direction. |
|---|
| 247 | ELSE |
|---|
| 248 | |
|---|
| 249 | x = xv(n) + ( 0.5_wp - i ) * dx |
|---|
| 250 | y = yv(n) - j * dy |
|---|
| 251 | aa = x**2 + y**2 |
|---|
| 252 | bb = ( dx - x )**2 + y**2 |
|---|
| 253 | cc = x**2 + ( dy - y )**2 |
|---|
| 254 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 255 | gg = aa + bb + cc + dd |
|---|
| 256 | |
|---|
| 257 | u_int_l = ( ( gg - aa ) * u(k,j,i) + ( gg - bb ) * u(k,j,i+1) & |
|---|
| 258 | + ( gg - cc ) * u(k,j+1,i) + ( gg - dd ) * & |
|---|
| 259 | u(k,j+1,i+1) ) / ( 3.0_wp * gg ) - u_gtrans |
|---|
| 260 | |
|---|
| 261 | IF ( k == nzt ) THEN |
|---|
| 262 | u_int(n) = u_int_l |
|---|
| 263 | ELSE |
|---|
| 264 | u_int_u = ( ( gg-aa ) * u(k+1,j,i) + ( gg-bb ) * u(k+1,j,i+1) & |
|---|
| 265 | + ( gg-cc ) * u(k+1,j+1,i) + ( gg-dd ) * & |
|---|
| 266 | u(k+1,j+1,i+1) ) / ( 3.0_wp * gg ) - u_gtrans |
|---|
| 267 | u_int(n) = u_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 268 | ( u_int_u - u_int_l ) |
|---|
| 269 | ENDIF |
|---|
| 270 | ENDIF |
|---|
| 271 | |
|---|
| 272 | ENDDO |
|---|
| 273 | |
|---|
| 274 | i = ip + block_offset(nb)%i_off |
|---|
| 275 | j = jp |
|---|
| 276 | k = kp + block_offset(nb)%k_off |
|---|
| 277 | ! |
|---|
| 278 | !-- Same procedure for interpolation of the v velocity-component |
|---|
| 279 | DO n = start_index(nb), end_index(nb) |
|---|
| 280 | IF ( prandtl_layer .AND. particles(n)%z < z_p ) THEN |
|---|
| 281 | |
|---|
| 282 | IF ( particles(n)%z < z0_av_global ) THEN |
|---|
| 283 | ! |
|---|
| 284 | !-- Resolved-scale horizontal particle velocity is zero below z0. |
|---|
| 285 | v_int(n) = 0.0_wp |
|---|
| 286 | ELSE |
|---|
| 287 | ! |
|---|
| 288 | !-- Neutral solution is applied for all situations, e.g. also for |
|---|
| 289 | !-- unstable and stable situations. Even though this is not exact |
|---|
| 290 | !-- this saves a lot of CPU time since several calls of intrinsic |
|---|
| 291 | !-- FORTRAN procedures (LOG, ATAN) are avoided, This is justified |
|---|
| 292 | !-- as sensitivity studies revealed no significant effect of |
|---|
| 293 | !-- using the neutral solution also for un/stable situations. |
|---|
| 294 | !-- Calculated left and bottom index on v grid. |
|---|
| 295 | us_int = 0.5_wp * ( us(j,i) + us(j-1,i) ) |
|---|
| 296 | |
|---|
| 297 | v_int = -vsws(j,i) / ( us_int * kappa + 1E-10_wp ) & |
|---|
| 298 | * log_z_z0_int(n) |
|---|
| 299 | ENDIF |
|---|
| 300 | ELSE |
|---|
| 301 | x = xv(n) - i * dx |
|---|
| 302 | y = yv(n) + ( 0.5_wp - j ) * dy |
|---|
| 303 | aa = x**2 + y**2 |
|---|
| 304 | bb = ( dx - x )**2 + y**2 |
|---|
| 305 | cc = x**2 + ( dy - y )**2 |
|---|
| 306 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 307 | gg = aa + bb + cc + dd |
|---|
| 308 | |
|---|
| 309 | v_int_l = ( ( gg - aa ) * v(k,j,i) + ( gg - bb ) * v(k,j,i+1) & |
|---|
| 310 | + ( gg - cc ) * v(k,j+1,i) + ( gg - dd ) * v(k,j+1,i+1) & |
|---|
| 311 | ) / ( 3.0_wp * gg ) - v_gtrans |
|---|
| 312 | |
|---|
| 313 | IF ( k == nzt ) THEN |
|---|
| 314 | v_int(n) = v_int_l |
|---|
| 315 | ELSE |
|---|
| 316 | v_int_u = ( ( gg-aa ) * v(k+1,j,i) + ( gg-bb ) * v(k+1,j,i+1) & |
|---|
| 317 | + ( gg-cc ) * v(k+1,j+1,i) + ( gg-dd ) * v(k+1,j+1,i+1) & |
|---|
| 318 | ) / ( 3.0_wp * gg ) - v_gtrans |
|---|
| 319 | v_int(n) = v_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 320 | ( v_int_u - v_int_l ) |
|---|
| 321 | ENDIF |
|---|
| 322 | ENDIF |
|---|
| 323 | |
|---|
| 324 | ENDDO |
|---|
| 325 | |
|---|
| 326 | i = ip + block_offset(nb)%i_off |
|---|
| 327 | j = jp + block_offset(nb)%j_off |
|---|
| 328 | k = kp-1 |
|---|
| 329 | ! |
|---|
| 330 | !-- Same procedure for interpolation of the w velocity-component |
|---|
| 331 | DO n = start_index(nb), end_index(nb) |
|---|
| 332 | |
|---|
| 333 | IF ( vertical_particle_advection(particles(n)%group) ) THEN |
|---|
| 334 | |
|---|
| 335 | x = xv(n) - i * dx |
|---|
| 336 | y = yv(n) - j * dy |
|---|
| 337 | aa = x**2 + y**2 |
|---|
| 338 | bb = ( dx - x )**2 + y**2 |
|---|
| 339 | cc = x**2 + ( dy - y )**2 |
|---|
| 340 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 341 | gg = aa + bb + cc + dd |
|---|
| 342 | |
|---|
| 343 | w_int_l = ( ( gg - aa ) * w(k,j,i) + ( gg - bb ) * w(k,j,i+1) & |
|---|
| 344 | + ( gg - cc ) * w(k,j+1,i) + ( gg - dd ) * w(k,j+1,i+1) & |
|---|
| 345 | ) / ( 3.0_wp * gg ) |
|---|
| 346 | |
|---|
| 347 | IF ( k == nzt ) THEN |
|---|
| 348 | w_int(n) = w_int_l |
|---|
| 349 | ELSE |
|---|
| 350 | w_int_u = ( ( gg-aa ) * w(k+1,j,i) + & |
|---|
| 351 | ( gg-bb ) * w(k+1,j,i+1) + & |
|---|
| 352 | ( gg-cc ) * w(k+1,j+1,i) + & |
|---|
| 353 | ( gg-dd ) * w(k+1,j+1,i+1) & |
|---|
| 354 | ) / ( 3.0_wp * gg ) |
|---|
| 355 | w_int(n) = w_int_l + ( zv(n) - zw(k) ) / dz * & |
|---|
| 356 | ( w_int_u - w_int_l ) |
|---|
| 357 | ENDIF |
|---|
| 358 | |
|---|
| 359 | ELSE |
|---|
| 360 | |
|---|
| 361 | w_int(n) = 0.0_wp |
|---|
| 362 | |
|---|
| 363 | ENDIF |
|---|
| 364 | |
|---|
| 365 | ENDDO |
|---|
| 366 | |
|---|
| 367 | ENDDO |
|---|
| 368 | |
|---|
| 369 | !-- Interpolate and calculate quantities needed for calculating the SGS |
|---|
| 370 | !-- velocities |
|---|
| 371 | IF ( use_sgs_for_particles ) THEN |
|---|
| 372 | |
|---|
| 373 | IF ( topography == 'flat' ) THEN |
|---|
| 374 | |
|---|
| 375 | DO nb = 0,7 |
|---|
| 376 | |
|---|
| 377 | i = ip + block_offset(nb)%i_off |
|---|
| 378 | j = jp + block_offset(nb)%j_off |
|---|
| 379 | k = kp + block_offset(nb)%k_off |
|---|
| 380 | |
|---|
| 381 | DO n = start_index(nb), end_index(nb) |
|---|
| 382 | ! |
|---|
| 383 | !-- Interpolate TKE |
|---|
| 384 | x = xv(n) - i * dx |
|---|
| 385 | y = yv(n) - j * dy |
|---|
| 386 | aa = x**2 + y**2 |
|---|
| 387 | bb = ( dx - x )**2 + y**2 |
|---|
| 388 | cc = x**2 + ( dy - y )**2 |
|---|
| 389 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 390 | gg = aa + bb + cc + dd |
|---|
| 391 | |
|---|
| 392 | e_int_l = ( ( gg-aa ) * e(k,j,i) + ( gg-bb ) * e(k,j,i+1) & |
|---|
| 393 | + ( gg-cc ) * e(k,j+1,i) + ( gg-dd ) * e(k,j+1,i+1) & |
|---|
| 394 | ) / ( 3.0_wp * gg ) |
|---|
| 395 | |
|---|
| 396 | IF ( k+1 == nzt+1 ) THEN |
|---|
| 397 | e_int(n) = e_int_l |
|---|
| 398 | ELSE |
|---|
| 399 | e_int_u = ( ( gg - aa ) * e(k+1,j,i) + & |
|---|
| 400 | ( gg - bb ) * e(k+1,j,i+1) + & |
|---|
| 401 | ( gg - cc ) * e(k+1,j+1,i) + & |
|---|
| 402 | ( gg - dd ) * e(k+1,j+1,i+1) & |
|---|
| 403 | ) / ( 3.0_wp * gg ) |
|---|
| 404 | e_int(n) = e_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 405 | ( e_int_u - e_int_l ) |
|---|
| 406 | ENDIF |
|---|
| 407 | ! |
|---|
| 408 | !-- Needed to avoid NaN particle velocities |
|---|
| 409 | IF ( e_int(n) == 0.0_wp ) THEN |
|---|
| 410 | e_int(n) = 1.0E-20_wp |
|---|
| 411 | ENDIF |
|---|
| 412 | ! |
|---|
| 413 | !-- Interpolate the TKE gradient along x (adopt incides i,j,k and |
|---|
| 414 | !-- all position variables from above (TKE)) |
|---|
| 415 | de_dx_int_l = ( ( gg - aa ) * de_dx(k,j,i) + & |
|---|
| 416 | ( gg - bb ) * de_dx(k,j,i+1) + & |
|---|
| 417 | ( gg - cc ) * de_dx(k,j+1,i) + & |
|---|
| 418 | ( gg - dd ) * de_dx(k,j+1,i+1) & |
|---|
| 419 | ) / ( 3.0_wp * gg ) |
|---|
| 420 | |
|---|
| 421 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 422 | de_dx_int(n) = de_dx_int_l |
|---|
| 423 | ELSE |
|---|
| 424 | de_dx_int_u = ( ( gg - aa ) * de_dx(k+1,j,i) + & |
|---|
| 425 | ( gg - bb ) * de_dx(k+1,j,i+1) + & |
|---|
| 426 | ( gg - cc ) * de_dx(k+1,j+1,i) + & |
|---|
| 427 | ( gg - dd ) * de_dx(k+1,j+1,i+1) & |
|---|
| 428 | ) / ( 3.0_wp * gg ) |
|---|
| 429 | de_dx_int(n) = de_dx_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 430 | ( de_dx_int_u - de_dx_int_l ) |
|---|
| 431 | ENDIF |
|---|
| 432 | ! |
|---|
| 433 | !-- Interpolate the TKE gradient along y |
|---|
| 434 | de_dy_int_l = ( ( gg - aa ) * de_dy(k,j,i) + & |
|---|
| 435 | ( gg - bb ) * de_dy(k,j,i+1) + & |
|---|
| 436 | ( gg - cc ) * de_dy(k,j+1,i) + & |
|---|
| 437 | ( gg - dd ) * de_dy(k,j+1,i+1) & |
|---|
| 438 | ) / ( 3.0_wp * gg ) |
|---|
| 439 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 440 | de_dy_int(n) = de_dy_int_l |
|---|
| 441 | ELSE |
|---|
| 442 | de_dy_int_u = ( ( gg - aa ) * de_dy(k+1,j,i) + & |
|---|
| 443 | ( gg - bb ) * de_dy(k+1,j,i+1) + & |
|---|
| 444 | ( gg - cc ) * de_dy(k+1,j+1,i) + & |
|---|
| 445 | ( gg - dd ) * de_dy(k+1,j+1,i+1) & |
|---|
| 446 | ) / ( 3.0_wp * gg ) |
|---|
| 447 | de_dy_int(n) = de_dy_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 448 | ( de_dy_int_u - de_dy_int_l ) |
|---|
| 449 | ENDIF |
|---|
| 450 | |
|---|
| 451 | ! |
|---|
| 452 | !-- Interpolate the TKE gradient along z |
|---|
| 453 | IF ( zv(n) < 0.5_wp * dz ) THEN |
|---|
| 454 | de_dz_int(n) = 0.0_wp |
|---|
| 455 | ELSE |
|---|
| 456 | de_dz_int_l = ( ( gg - aa ) * de_dz(k,j,i) + & |
|---|
| 457 | ( gg - bb ) * de_dz(k,j,i+1) + & |
|---|
| 458 | ( gg - cc ) * de_dz(k,j+1,i) + & |
|---|
| 459 | ( gg - dd ) * de_dz(k,j+1,i+1) & |
|---|
| 460 | ) / ( 3.0_wp * gg ) |
|---|
| 461 | |
|---|
| 462 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 463 | de_dz_int(n) = de_dz_int_l |
|---|
| 464 | ELSE |
|---|
| 465 | de_dz_int_u = ( ( gg - aa ) * de_dz(k+1,j,i) + & |
|---|
| 466 | ( gg - bb ) * de_dz(k+1,j,i+1) + & |
|---|
| 467 | ( gg - cc ) * de_dz(k+1,j+1,i) + & |
|---|
| 468 | ( gg - dd ) * de_dz(k+1,j+1,i+1) & |
|---|
| 469 | ) / ( 3.0_wp * gg ) |
|---|
| 470 | de_dz_int(n) = de_dz_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 471 | ( de_dz_int_u - de_dz_int_l ) |
|---|
| 472 | ENDIF |
|---|
| 473 | ENDIF |
|---|
| 474 | |
|---|
| 475 | ! |
|---|
| 476 | !-- Interpolate the dissipation of TKE |
|---|
| 477 | diss_int_l = ( ( gg - aa ) * diss(k,j,i) + & |
|---|
| 478 | ( gg - bb ) * diss(k,j,i+1) + & |
|---|
| 479 | ( gg - cc ) * diss(k,j+1,i) + & |
|---|
| 480 | ( gg - dd ) * diss(k,j+1,i+1) & |
|---|
| 481 | ) / ( 3.0_wp * gg ) |
|---|
| 482 | |
|---|
| 483 | IF ( k == nzt ) THEN |
|---|
| 484 | diss_int(n) = diss_int_l |
|---|
| 485 | ELSE |
|---|
| 486 | diss_int_u = ( ( gg - aa ) * diss(k+1,j,i) + & |
|---|
| 487 | ( gg - bb ) * diss(k+1,j,i+1) + & |
|---|
| 488 | ( gg - cc ) * diss(k+1,j+1,i) + & |
|---|
| 489 | ( gg - dd ) * diss(k+1,j+1,i+1) & |
|---|
| 490 | ) / ( 3.0_wp * gg ) |
|---|
| 491 | diss_int(n) = diss_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 492 | ( diss_int_u - diss_int_l ) |
|---|
| 493 | ENDIF |
|---|
| 494 | |
|---|
| 495 | ENDDO |
|---|
| 496 | ENDDO |
|---|
| 497 | |
|---|
| 498 | ELSE ! non-flat topography, e.g., buildings |
|---|
| 499 | |
|---|
| 500 | DO n = 1, number_of_particles |
|---|
| 501 | |
|---|
| 502 | i = particles(n)%x * ddx |
|---|
| 503 | j = particles(n)%y * ddy |
|---|
| 504 | k = ( zv(n) + 0.5_wp * dz * atmos_ocean_sign ) / dz & |
|---|
| 505 | + offset_ocean_nzt ! only exact if eq.dist |
|---|
| 506 | ! |
|---|
| 507 | !-- In case that there are buildings it has to be determined |
|---|
| 508 | !-- how many of the gridpoints defining the particle box are |
|---|
| 509 | !-- situated within a building |
|---|
| 510 | !-- gp_outside_of_building(1): i,j,k |
|---|
| 511 | !-- gp_outside_of_building(2): i,j+1,k |
|---|
| 512 | !-- gp_outside_of_building(3): i,j,k+1 |
|---|
| 513 | !-- gp_outside_of_building(4): i,j+1,k+1 |
|---|
| 514 | !-- gp_outside_of_building(5): i+1,j,k |
|---|
| 515 | !-- gp_outside_of_building(6): i+1,j+1,k |
|---|
| 516 | !-- gp_outside_of_building(7): i+1,j,k+1 |
|---|
| 517 | !-- gp_outside_of_building(8): i+1,j+1,k+1 |
|---|
| 518 | |
|---|
| 519 | gp_outside_of_building = 0 |
|---|
| 520 | location = 0.0_wp |
|---|
| 521 | num_gp = 0 |
|---|
| 522 | |
|---|
| 523 | IF ( k > nzb_s_inner(j,i) .OR. nzb_s_inner(j,i) == 0 ) THEN |
|---|
| 524 | num_gp = num_gp + 1 |
|---|
| 525 | gp_outside_of_building(1) = 1 |
|---|
| 526 | location(num_gp,1) = i * dx |
|---|
| 527 | location(num_gp,2) = j * dy |
|---|
| 528 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 529 | ei(num_gp) = e(k,j,i) |
|---|
| 530 | dissi(num_gp) = diss(k,j,i) |
|---|
| 531 | de_dxi(num_gp) = de_dx(k,j,i) |
|---|
| 532 | de_dyi(num_gp) = de_dy(k,j,i) |
|---|
| 533 | de_dzi(num_gp) = de_dz(k,j,i) |
|---|
| 534 | ENDIF |
|---|
| 535 | |
|---|
| 536 | IF ( k > nzb_s_inner(j+1,i) .OR. nzb_s_inner(j+1,i) == 0 ) & |
|---|
| 537 | THEN |
|---|
| 538 | num_gp = num_gp + 1 |
|---|
| 539 | gp_outside_of_building(2) = 1 |
|---|
| 540 | location(num_gp,1) = i * dx |
|---|
| 541 | location(num_gp,2) = (j+1) * dy |
|---|
| 542 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 543 | ei(num_gp) = e(k,j+1,i) |
|---|
| 544 | dissi(num_gp) = diss(k,j+1,i) |
|---|
| 545 | de_dxi(num_gp) = de_dx(k,j+1,i) |
|---|
| 546 | de_dyi(num_gp) = de_dy(k,j+1,i) |
|---|
| 547 | de_dzi(num_gp) = de_dz(k,j+1,i) |
|---|
| 548 | ENDIF |
|---|
| 549 | |
|---|
| 550 | IF ( k+1 > nzb_s_inner(j,i) .OR. nzb_s_inner(j,i) == 0 ) THEN |
|---|
| 551 | num_gp = num_gp + 1 |
|---|
| 552 | gp_outside_of_building(3) = 1 |
|---|
| 553 | location(num_gp,1) = i * dx |
|---|
| 554 | location(num_gp,2) = j * dy |
|---|
| 555 | location(num_gp,3) = (k+1) * dz - 0.5_wp * dz |
|---|
| 556 | ei(num_gp) = e(k+1,j,i) |
|---|
| 557 | dissi(num_gp) = diss(k+1,j,i) |
|---|
| 558 | de_dxi(num_gp) = de_dx(k+1,j,i) |
|---|
| 559 | de_dyi(num_gp) = de_dy(k+1,j,i) |
|---|
| 560 | de_dzi(num_gp) = de_dz(k+1,j,i) |
|---|
| 561 | ENDIF |
|---|
| 562 | |
|---|
| 563 | IF ( k+1 > nzb_s_inner(j+1,i) .OR. nzb_s_inner(j+1,i) == 0 ) & |
|---|
| 564 | THEN |
|---|
| 565 | num_gp = num_gp + 1 |
|---|
| 566 | gp_outside_of_building(4) = 1 |
|---|
| 567 | location(num_gp,1) = i * dx |
|---|
| 568 | location(num_gp,2) = (j+1) * dy |
|---|
| 569 | location(num_gp,3) = (k+1) * dz - 0.5_wp * dz |
|---|
| 570 | ei(num_gp) = e(k+1,j+1,i) |
|---|
| 571 | dissi(num_gp) = diss(k+1,j+1,i) |
|---|
| 572 | de_dxi(num_gp) = de_dx(k+1,j+1,i) |
|---|
| 573 | de_dyi(num_gp) = de_dy(k+1,j+1,i) |
|---|
| 574 | de_dzi(num_gp) = de_dz(k+1,j+1,i) |
|---|
| 575 | ENDIF |
|---|
| 576 | |
|---|
| 577 | IF ( k > nzb_s_inner(j,i+1) .OR. nzb_s_inner(j,i+1) == 0 ) & |
|---|
| 578 | THEN |
|---|
| 579 | num_gp = num_gp + 1 |
|---|
| 580 | gp_outside_of_building(5) = 1 |
|---|
| 581 | location(num_gp,1) = (i+1) * dx |
|---|
| 582 | location(num_gp,2) = j * dy |
|---|
| 583 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 584 | ei(num_gp) = e(k,j,i+1) |
|---|
| 585 | dissi(num_gp) = diss(k,j,i+1) |
|---|
| 586 | de_dxi(num_gp) = de_dx(k,j,i+1) |
|---|
| 587 | de_dyi(num_gp) = de_dy(k,j,i+1) |
|---|
| 588 | de_dzi(num_gp) = de_dz(k,j,i+1) |
|---|
| 589 | ENDIF |
|---|
| 590 | |
|---|
| 591 | IF ( k > nzb_s_inner(j+1,i+1) .OR. nzb_s_inner(j+1,i+1) == 0 ) & |
|---|
| 592 | THEN |
|---|
| 593 | num_gp = num_gp + 1 |
|---|
| 594 | gp_outside_of_building(6) = 1 |
|---|
| 595 | location(num_gp,1) = (i+1) * dx |
|---|
| 596 | location(num_gp,2) = (j+1) * dy |
|---|
| 597 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 598 | ei(num_gp) = e(k,j+1,i+1) |
|---|
| 599 | dissi(num_gp) = diss(k,j+1,i+1) |
|---|
| 600 | de_dxi(num_gp) = de_dx(k,j+1,i+1) |
|---|
| 601 | de_dyi(num_gp) = de_dy(k,j+1,i+1) |
|---|
| 602 | de_dzi(num_gp) = de_dz(k,j+1,i+1) |
|---|
| 603 | ENDIF |
|---|
| 604 | |
|---|
| 605 | IF ( k+1 > nzb_s_inner(j,i+1) .OR. nzb_s_inner(j,i+1) == 0 ) & |
|---|
| 606 | THEN |
|---|
| 607 | num_gp = num_gp + 1 |
|---|
| 608 | gp_outside_of_building(7) = 1 |
|---|
| 609 | location(num_gp,1) = (i+1) * dx |
|---|
| 610 | location(num_gp,2) = j * dy |
|---|
| 611 | location(num_gp,3) = (k+1) * dz - 0.5_wp * dz |
|---|
| 612 | ei(num_gp) = e(k+1,j,i+1) |
|---|
| 613 | dissi(num_gp) = diss(k+1,j,i+1) |
|---|
| 614 | de_dxi(num_gp) = de_dx(k+1,j,i+1) |
|---|
| 615 | de_dyi(num_gp) = de_dy(k+1,j,i+1) |
|---|
| 616 | de_dzi(num_gp) = de_dz(k+1,j,i+1) |
|---|
| 617 | ENDIF |
|---|
| 618 | |
|---|
| 619 | IF ( k+1 > nzb_s_inner(j+1,i+1) .OR. nzb_s_inner(j+1,i+1) == 0)& |
|---|
| 620 | THEN |
|---|
| 621 | num_gp = num_gp + 1 |
|---|
| 622 | gp_outside_of_building(8) = 1 |
|---|
| 623 | location(num_gp,1) = (i+1) * dx |
|---|
| 624 | location(num_gp,2) = (j+1) * dy |
|---|
| 625 | location(num_gp,3) = (k+1) * dz - 0.5_wp * dz |
|---|
| 626 | ei(num_gp) = e(k+1,j+1,i+1) |
|---|
| 627 | dissi(num_gp) = diss(k+1,j+1,i+1) |
|---|
| 628 | de_dxi(num_gp) = de_dx(k+1,j+1,i+1) |
|---|
| 629 | de_dyi(num_gp) = de_dy(k+1,j+1,i+1) |
|---|
| 630 | de_dzi(num_gp) = de_dz(k+1,j+1,i+1) |
|---|
| 631 | ENDIF |
|---|
| 632 | |
|---|
| 633 | ! |
|---|
| 634 | !-- If all gridpoints are situated outside of a building, then the |
|---|
| 635 | !-- ordinary interpolation scheme can be used. |
|---|
| 636 | IF ( num_gp == 8 ) THEN |
|---|
| 637 | |
|---|
| 638 | x = particles(n)%x - i * dx |
|---|
| 639 | y = particles(n)%y - j * dy |
|---|
| 640 | aa = x**2 + y**2 |
|---|
| 641 | bb = ( dx - x )**2 + y**2 |
|---|
| 642 | cc = x**2 + ( dy - y )**2 |
|---|
| 643 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 644 | gg = aa + bb + cc + dd |
|---|
| 645 | |
|---|
| 646 | e_int_l = ( ( gg - aa ) * e(k,j,i) + ( gg - bb ) * e(k,j,i+1) & |
|---|
| 647 | + ( gg - cc ) * e(k,j+1,i) + ( gg - dd ) * e(k,j+1,i+1) & |
|---|
| 648 | ) / ( 3.0_wp * gg ) |
|---|
| 649 | |
|---|
| 650 | IF ( k == nzt ) THEN |
|---|
| 651 | e_int(n) = e_int_l |
|---|
| 652 | ELSE |
|---|
| 653 | e_int_u = ( ( gg - aa ) * e(k+1,j,i) + & |
|---|
| 654 | ( gg - bb ) * e(k+1,j,i+1) + & |
|---|
| 655 | ( gg - cc ) * e(k+1,j+1,i) + & |
|---|
| 656 | ( gg - dd ) * e(k+1,j+1,i+1) & |
|---|
| 657 | ) / ( 3.0_wp * gg ) |
|---|
| 658 | e_int(n) = e_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 659 | ( e_int_u - e_int_l ) |
|---|
| 660 | ENDIF |
|---|
| 661 | ! |
|---|
| 662 | !-- Needed to avoid NaN particle velocities |
|---|
| 663 | IF ( e_int(n) == 0.0_wp ) THEN |
|---|
| 664 | e_int(n) = 1.0E-20_wp |
|---|
| 665 | ENDIF |
|---|
| 666 | ! |
|---|
| 667 | !-- Interpolate the TKE gradient along x (adopt incides i,j,k |
|---|
| 668 | !-- and all position variables from above (TKE)) |
|---|
| 669 | de_dx_int_l = ( ( gg - aa ) * de_dx(k,j,i) + & |
|---|
| 670 | ( gg - bb ) * de_dx(k,j,i+1) + & |
|---|
| 671 | ( gg - cc ) * de_dx(k,j+1,i) + & |
|---|
| 672 | ( gg - dd ) * de_dx(k,j+1,i+1) & |
|---|
| 673 | ) / ( 3.0_wp * gg ) |
|---|
| 674 | |
|---|
| 675 | IF ( ( k == nzt ) .OR. ( k == nzb ) ) THEN |
|---|
| 676 | de_dx_int(n) = de_dx_int_l |
|---|
| 677 | ELSE |
|---|
| 678 | de_dx_int_u = ( ( gg - aa ) * de_dx(k+1,j,i) + & |
|---|
| 679 | ( gg - bb ) * de_dx(k+1,j,i+1) + & |
|---|
| 680 | ( gg - cc ) * de_dx(k+1,j+1,i) + & |
|---|
| 681 | ( gg - dd ) * de_dx(k+1,j+1,i+1) & |
|---|
| 682 | ) / ( 3.0_wp * gg ) |
|---|
| 683 | de_dx_int(n) = de_dx_int_l + ( zv(n) - zu(k) ) / & |
|---|
| 684 | dz * ( de_dx_int_u - de_dx_int_l ) |
|---|
| 685 | ENDIF |
|---|
| 686 | |
|---|
| 687 | ! |
|---|
| 688 | !-- Interpolate the TKE gradient along y |
|---|
| 689 | de_dy_int_l = ( ( gg - aa ) * de_dy(k,j,i) + & |
|---|
| 690 | ( gg - bb ) * de_dy(k,j,i+1) + & |
|---|
| 691 | ( gg - cc ) * de_dy(k,j+1,i) + & |
|---|
| 692 | ( gg - dd ) * de_dy(k,j+1,i+1) & |
|---|
| 693 | ) / ( 3.0_wp * gg ) |
|---|
| 694 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 695 | de_dy_int(n) = de_dy_int_l |
|---|
| 696 | ELSE |
|---|
| 697 | de_dy_int_u = ( ( gg - aa ) * de_dy(k+1,j,i) + & |
|---|
| 698 | ( gg - bb ) * de_dy(k+1,j,i+1) + & |
|---|
| 699 | ( gg - cc ) * de_dy(k+1,j+1,i) + & |
|---|
| 700 | ( gg - dd ) * de_dy(k+1,j+1,i+1) & |
|---|
| 701 | ) / ( 3.0_wp * gg ) |
|---|
| 702 | de_dy_int(n) = de_dy_int_l + ( zv(n) - zu(k) ) / & |
|---|
| 703 | dz * ( de_dy_int_u - de_dy_int_l ) |
|---|
| 704 | ENDIF |
|---|
| 705 | |
|---|
| 706 | ! |
|---|
| 707 | !-- Interpolate the TKE gradient along z |
|---|
| 708 | IF ( zv(n) < 0.5_wp * dz ) THEN |
|---|
| 709 | de_dz_int(n) = 0.0_wp |
|---|
| 710 | ELSE |
|---|
| 711 | de_dz_int_l = ( ( gg - aa ) * de_dz(k,j,i) + & |
|---|
| 712 | ( gg - bb ) * de_dz(k,j,i+1) + & |
|---|
| 713 | ( gg - cc ) * de_dz(k,j+1,i) + & |
|---|
| 714 | ( gg - dd ) * de_dz(k,j+1,i+1) & |
|---|
| 715 | ) / ( 3.0_wp * gg ) |
|---|
| 716 | |
|---|
| 717 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 718 | de_dz_int(n) = de_dz_int_l |
|---|
| 719 | ELSE |
|---|
| 720 | de_dz_int_u = ( ( gg - aa ) * de_dz(k+1,j,i) + & |
|---|
| 721 | ( gg - bb ) * de_dz(k+1,j,i+1) + & |
|---|
| 722 | ( gg - cc ) * de_dz(k+1,j+1,i) + & |
|---|
| 723 | ( gg - dd ) * de_dz(k+1,j+1,i+1) & |
|---|
| 724 | ) / ( 3.0_wp * gg ) |
|---|
| 725 | de_dz_int(n) = de_dz_int_l + ( zv(n) - zu(k) ) /& |
|---|
| 726 | dz * ( de_dz_int_u - de_dz_int_l ) |
|---|
| 727 | ENDIF |
|---|
| 728 | ENDIF |
|---|
| 729 | |
|---|
| 730 | ! |
|---|
| 731 | !-- Interpolate the dissipation of TKE |
|---|
| 732 | diss_int_l = ( ( gg - aa ) * diss(k,j,i) + & |
|---|
| 733 | ( gg - bb ) * diss(k,j,i+1) + & |
|---|
| 734 | ( gg - cc ) * diss(k,j+1,i) + & |
|---|
| 735 | ( gg - dd ) * diss(k,j+1,i+1) & |
|---|
| 736 | ) / ( 3.0_wp * gg ) |
|---|
| 737 | |
|---|
| 738 | IF ( k == nzt ) THEN |
|---|
| 739 | diss_int(n) = diss_int_l |
|---|
| 740 | ELSE |
|---|
| 741 | diss_int_u = ( ( gg - aa ) * diss(k+1,j,i) + & |
|---|
| 742 | ( gg - bb ) * diss(k+1,j,i+1) + & |
|---|
| 743 | ( gg - cc ) * diss(k+1,j+1,i) + & |
|---|
| 744 | ( gg - dd ) * diss(k+1,j+1,i+1) & |
|---|
| 745 | ) / ( 3.0_wp * gg ) |
|---|
| 746 | diss_int(n) = diss_int_l + ( zv(n) - zu(k) ) / dz *& |
|---|
| 747 | ( diss_int_u - diss_int_l ) |
|---|
| 748 | ENDIF |
|---|
| 749 | |
|---|
| 750 | ELSE |
|---|
| 751 | |
|---|
| 752 | ! |
|---|
| 753 | !-- If wall between gridpoint 1 and gridpoint 5, then |
|---|
| 754 | !-- Neumann boundary condition has to be applied |
|---|
| 755 | IF ( gp_outside_of_building(1) == 1 .AND. & |
|---|
| 756 | gp_outside_of_building(5) == 0 ) THEN |
|---|
| 757 | num_gp = num_gp + 1 |
|---|
| 758 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 759 | location(num_gp,2) = j * dy |
|---|
| 760 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 761 | ei(num_gp) = e(k,j,i) |
|---|
| 762 | dissi(num_gp) = diss(k,j,i) |
|---|
| 763 | de_dxi(num_gp) = 0.0_wp |
|---|
| 764 | de_dyi(num_gp) = de_dy(k,j,i) |
|---|
| 765 | de_dzi(num_gp) = de_dz(k,j,i) |
|---|
| 766 | ENDIF |
|---|
| 767 | |
|---|
| 768 | IF ( gp_outside_of_building(5) == 1 .AND. & |
|---|
| 769 | gp_outside_of_building(1) == 0 ) THEN |
|---|
| 770 | num_gp = num_gp + 1 |
|---|
| 771 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 772 | location(num_gp,2) = j * dy |
|---|
| 773 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 774 | ei(num_gp) = e(k,j,i+1) |
|---|
| 775 | dissi(num_gp) = diss(k,j,i+1) |
|---|
| 776 | de_dxi(num_gp) = 0.0_wp |
|---|
| 777 | de_dyi(num_gp) = de_dy(k,j,i+1) |
|---|
| 778 | de_dzi(num_gp) = de_dz(k,j,i+1) |
|---|
| 779 | ENDIF |
|---|
| 780 | |
|---|
| 781 | ! |
|---|
| 782 | !-- If wall between gridpoint 5 and gridpoint 6, then |
|---|
| 783 | !-- then Neumann boundary condition has to be applied |
|---|
| 784 | IF ( gp_outside_of_building(5) == 1 .AND. & |
|---|
| 785 | gp_outside_of_building(6) == 0 ) THEN |
|---|
| 786 | num_gp = num_gp + 1 |
|---|
| 787 | location(num_gp,1) = (i+1) * dx |
|---|
| 788 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 789 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 790 | ei(num_gp) = e(k,j,i+1) |
|---|
| 791 | dissi(num_gp) = diss(k,j,i+1) |
|---|
| 792 | de_dxi(num_gp) = de_dx(k,j,i+1) |
|---|
| 793 | de_dyi(num_gp) = 0.0_wp |
|---|
| 794 | de_dzi(num_gp) = de_dz(k,j,i+1) |
|---|
| 795 | ENDIF |
|---|
| 796 | |
|---|
| 797 | IF ( gp_outside_of_building(6) == 1 .AND. & |
|---|
| 798 | gp_outside_of_building(5) == 0 ) THEN |
|---|
| 799 | num_gp = num_gp + 1 |
|---|
| 800 | location(num_gp,1) = (i+1) * dx |
|---|
| 801 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 802 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 803 | ei(num_gp) = e(k,j+1,i+1) |
|---|
| 804 | dissi(num_gp) = diss(k,j+1,i+1) |
|---|
| 805 | de_dxi(num_gp) = de_dx(k,j+1,i+1) |
|---|
| 806 | de_dyi(num_gp) = 0.0_wp |
|---|
| 807 | de_dzi(num_gp) = de_dz(k,j+1,i+1) |
|---|
| 808 | ENDIF |
|---|
| 809 | |
|---|
| 810 | ! |
|---|
| 811 | !-- If wall between gridpoint 2 and gridpoint 6, then |
|---|
| 812 | !-- Neumann boundary condition has to be applied |
|---|
| 813 | IF ( gp_outside_of_building(2) == 1 .AND. & |
|---|
| 814 | gp_outside_of_building(6) == 0 ) THEN |
|---|
| 815 | num_gp = num_gp + 1 |
|---|
| 816 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 817 | location(num_gp,2) = (j+1) * dy |
|---|
| 818 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 819 | ei(num_gp) = e(k,j+1,i) |
|---|
| 820 | dissi(num_gp) = diss(k,j+1,i) |
|---|
| 821 | de_dxi(num_gp) = 0.0_wp |
|---|
| 822 | de_dyi(num_gp) = de_dy(k,j+1,i) |
|---|
| 823 | de_dzi(num_gp) = de_dz(k,j+1,i) |
|---|
| 824 | ENDIF |
|---|
| 825 | |
|---|
| 826 | IF ( gp_outside_of_building(6) == 1 .AND. & |
|---|
| 827 | gp_outside_of_building(2) == 0 ) THEN |
|---|
| 828 | num_gp = num_gp + 1 |
|---|
| 829 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 830 | location(num_gp,2) = (j+1) * dy |
|---|
| 831 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 832 | ei(num_gp) = e(k,j+1,i+1) |
|---|
| 833 | dissi(num_gp) = diss(k,j+1,i+1) |
|---|
| 834 | de_dxi(num_gp) = 0.0_wp |
|---|
| 835 | de_dyi(num_gp) = de_dy(k,j+1,i+1) |
|---|
| 836 | de_dzi(num_gp) = de_dz(k,j+1,i+1) |
|---|
| 837 | ENDIF |
|---|
| 838 | |
|---|
| 839 | ! |
|---|
| 840 | !-- If wall between gridpoint 1 and gridpoint 2, then |
|---|
| 841 | !-- Neumann boundary condition has to be applied |
|---|
| 842 | IF ( gp_outside_of_building(1) == 1 .AND. & |
|---|
| 843 | gp_outside_of_building(2) == 0 ) THEN |
|---|
| 844 | num_gp = num_gp + 1 |
|---|
| 845 | location(num_gp,1) = i * dx |
|---|
| 846 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 847 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 848 | ei(num_gp) = e(k,j,i) |
|---|
| 849 | dissi(num_gp) = diss(k,j,i) |
|---|
| 850 | de_dxi(num_gp) = de_dx(k,j,i) |
|---|
| 851 | de_dyi(num_gp) = 0.0_wp |
|---|
| 852 | de_dzi(num_gp) = de_dz(k,j,i) |
|---|
| 853 | ENDIF |
|---|
| 854 | |
|---|
| 855 | IF ( gp_outside_of_building(2) == 1 .AND. & |
|---|
| 856 | gp_outside_of_building(1) == 0 ) THEN |
|---|
| 857 | num_gp = num_gp + 1 |
|---|
| 858 | location(num_gp,1) = i * dx |
|---|
| 859 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 860 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 861 | ei(num_gp) = e(k,j+1,i) |
|---|
| 862 | dissi(num_gp) = diss(k,j+1,i) |
|---|
| 863 | de_dxi(num_gp) = de_dx(k,j+1,i) |
|---|
| 864 | de_dyi(num_gp) = 0.0_wp |
|---|
| 865 | de_dzi(num_gp) = de_dz(k,j+1,i) |
|---|
| 866 | ENDIF |
|---|
| 867 | |
|---|
| 868 | ! |
|---|
| 869 | !-- If wall between gridpoint 3 and gridpoint 7, then |
|---|
| 870 | !-- Neumann boundary condition has to be applied |
|---|
| 871 | IF ( gp_outside_of_building(3) == 1 .AND. & |
|---|
| 872 | gp_outside_of_building(7) == 0 ) THEN |
|---|
| 873 | num_gp = num_gp + 1 |
|---|
| 874 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 875 | location(num_gp,2) = j * dy |
|---|
| 876 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 877 | ei(num_gp) = e(k+1,j,i) |
|---|
| 878 | dissi(num_gp) = diss(k+1,j,i) |
|---|
| 879 | de_dxi(num_gp) = 0.0_wp |
|---|
| 880 | de_dyi(num_gp) = de_dy(k+1,j,i) |
|---|
| 881 | de_dzi(num_gp) = de_dz(k+1,j,i) |
|---|
| 882 | ENDIF |
|---|
| 883 | |
|---|
| 884 | IF ( gp_outside_of_building(7) == 1 .AND. & |
|---|
| 885 | gp_outside_of_building(3) == 0 ) THEN |
|---|
| 886 | num_gp = num_gp + 1 |
|---|
| 887 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 888 | location(num_gp,2) = j * dy |
|---|
| 889 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 890 | ei(num_gp) = e(k+1,j,i+1) |
|---|
| 891 | dissi(num_gp) = diss(k+1,j,i+1) |
|---|
| 892 | de_dxi(num_gp) = 0.0_wp |
|---|
| 893 | de_dyi(num_gp) = de_dy(k+1,j,i+1) |
|---|
| 894 | de_dzi(num_gp) = de_dz(k+1,j,i+1) |
|---|
| 895 | ENDIF |
|---|
| 896 | |
|---|
| 897 | ! |
|---|
| 898 | !-- If wall between gridpoint 7 and gridpoint 8, then |
|---|
| 899 | !-- Neumann boundary condition has to be applied |
|---|
| 900 | IF ( gp_outside_of_building(7) == 1 .AND. & |
|---|
| 901 | gp_outside_of_building(8) == 0 ) THEN |
|---|
| 902 | num_gp = num_gp + 1 |
|---|
| 903 | location(num_gp,1) = (i+1) * dx |
|---|
| 904 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 905 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 906 | ei(num_gp) = e(k+1,j,i+1) |
|---|
| 907 | dissi(num_gp) = diss(k+1,j,i+1) |
|---|
| 908 | de_dxi(num_gp) = de_dx(k+1,j,i+1) |
|---|
| 909 | de_dyi(num_gp) = 0.0_wp |
|---|
| 910 | de_dzi(num_gp) = de_dz(k+1,j,i+1) |
|---|
| 911 | ENDIF |
|---|
| 912 | |
|---|
| 913 | IF ( gp_outside_of_building(8) == 1 .AND. & |
|---|
| 914 | gp_outside_of_building(7) == 0 ) THEN |
|---|
| 915 | num_gp = num_gp + 1 |
|---|
| 916 | location(num_gp,1) = (i+1) * dx |
|---|
| 917 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 918 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 919 | ei(num_gp) = e(k+1,j+1,i+1) |
|---|
| 920 | dissi(num_gp) = diss(k+1,j+1,i+1) |
|---|
| 921 | de_dxi(num_gp) = de_dx(k+1,j+1,i+1) |
|---|
| 922 | de_dyi(num_gp) = 0.0_wp |
|---|
| 923 | de_dzi(num_gp) = de_dz(k+1,j+1,i+1) |
|---|
| 924 | ENDIF |
|---|
| 925 | |
|---|
| 926 | ! |
|---|
| 927 | !-- If wall between gridpoint 4 and gridpoint 8, then |
|---|
| 928 | !-- Neumann boundary condition has to be applied |
|---|
| 929 | IF ( gp_outside_of_building(4) == 1 .AND. & |
|---|
| 930 | gp_outside_of_building(8) == 0 ) THEN |
|---|
| 931 | num_gp = num_gp + 1 |
|---|
| 932 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 933 | location(num_gp,2) = (j+1) * dy |
|---|
| 934 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 935 | ei(num_gp) = e(k+1,j+1,i) |
|---|
| 936 | dissi(num_gp) = diss(k+1,j+1,i) |
|---|
| 937 | de_dxi(num_gp) = 0.0_wp |
|---|
| 938 | de_dyi(num_gp) = de_dy(k+1,j+1,i) |
|---|
| 939 | de_dzi(num_gp) = de_dz(k+1,j+1,i) |
|---|
| 940 | ENDIF |
|---|
| 941 | |
|---|
| 942 | IF ( gp_outside_of_building(8) == 1 .AND. & |
|---|
| 943 | gp_outside_of_building(4) == 0 ) THEN |
|---|
| 944 | num_gp = num_gp + 1 |
|---|
| 945 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 946 | location(num_gp,2) = (j+1) * dy |
|---|
| 947 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 948 | ei(num_gp) = e(k+1,j+1,i+1) |
|---|
| 949 | dissi(num_gp) = diss(k+1,j+1,i+1) |
|---|
| 950 | de_dxi(num_gp) = 0.0_wp |
|---|
| 951 | de_dyi(num_gp) = de_dy(k+1,j+1,i+1) |
|---|
| 952 | de_dzi(num_gp) = de_dz(k+1,j+1,i+1) |
|---|
| 953 | ENDIF |
|---|
| 954 | |
|---|
| 955 | ! |
|---|
| 956 | !-- If wall between gridpoint 3 and gridpoint 4, then |
|---|
| 957 | !-- Neumann boundary condition has to be applied |
|---|
| 958 | IF ( gp_outside_of_building(3) == 1 .AND. & |
|---|
| 959 | gp_outside_of_building(4) == 0 ) THEN |
|---|
| 960 | num_gp = num_gp + 1 |
|---|
| 961 | location(num_gp,1) = i * dx |
|---|
| 962 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 963 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 964 | ei(num_gp) = e(k+1,j,i) |
|---|
| 965 | dissi(num_gp) = diss(k+1,j,i) |
|---|
| 966 | de_dxi(num_gp) = de_dx(k+1,j,i) |
|---|
| 967 | de_dyi(num_gp) = 0.0_wp |
|---|
| 968 | de_dzi(num_gp) = de_dz(k+1,j,i) |
|---|
| 969 | ENDIF |
|---|
| 970 | |
|---|
| 971 | IF ( gp_outside_of_building(4) == 1 .AND. & |
|---|
| 972 | gp_outside_of_building(3) == 0 ) THEN |
|---|
| 973 | num_gp = num_gp + 1 |
|---|
| 974 | location(num_gp,1) = i * dx |
|---|
| 975 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 976 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 977 | ei(num_gp) = e(k+1,j+1,i) |
|---|
| 978 | dissi(num_gp) = diss(k+1,j+1,i) |
|---|
| 979 | de_dxi(num_gp) = de_dx(k+1,j+1,i) |
|---|
| 980 | de_dyi(num_gp) = 0.0_wp |
|---|
| 981 | de_dzi(num_gp) = de_dz(k+1,j+1,i) |
|---|
| 982 | ENDIF |
|---|
| 983 | |
|---|
| 984 | ! |
|---|
| 985 | !-- If wall between gridpoint 1 and gridpoint 3, then |
|---|
| 986 | !-- Neumann boundary condition has to be applied |
|---|
| 987 | !-- (only one case as only building beneath is possible) |
|---|
| 988 | IF ( gp_outside_of_building(1) == 0 .AND. & |
|---|
| 989 | gp_outside_of_building(3) == 1 ) THEN |
|---|
| 990 | num_gp = num_gp + 1 |
|---|
| 991 | location(num_gp,1) = i * dx |
|---|
| 992 | location(num_gp,2) = j * dy |
|---|
| 993 | location(num_gp,3) = k * dz |
|---|
| 994 | ei(num_gp) = e(k+1,j,i) |
|---|
| 995 | dissi(num_gp) = diss(k+1,j,i) |
|---|
| 996 | de_dxi(num_gp) = de_dx(k+1,j,i) |
|---|
| 997 | de_dyi(num_gp) = de_dy(k+1,j,i) |
|---|
| 998 | de_dzi(num_gp) = 0.0_wp |
|---|
| 999 | ENDIF |
|---|
| 1000 | |
|---|
| 1001 | ! |
|---|
| 1002 | !-- If wall between gridpoint 5 and gridpoint 7, then |
|---|
| 1003 | !-- Neumann boundary condition has to be applied |
|---|
| 1004 | !-- (only one case as only building beneath is possible) |
|---|
| 1005 | IF ( gp_outside_of_building(5) == 0 .AND. & |
|---|
| 1006 | gp_outside_of_building(7) == 1 ) THEN |
|---|
| 1007 | num_gp = num_gp + 1 |
|---|
| 1008 | location(num_gp,1) = (i+1) * dx |
|---|
| 1009 | location(num_gp,2) = j * dy |
|---|
| 1010 | location(num_gp,3) = k * dz |
|---|
| 1011 | ei(num_gp) = e(k+1,j,i+1) |
|---|
| 1012 | dissi(num_gp) = diss(k+1,j,i+1) |
|---|
| 1013 | de_dxi(num_gp) = de_dx(k+1,j,i+1) |
|---|
| 1014 | de_dyi(num_gp) = de_dy(k+1,j,i+1) |
|---|
| 1015 | de_dzi(num_gp) = 0.0_wp |
|---|
| 1016 | ENDIF |
|---|
| 1017 | |
|---|
| 1018 | ! |
|---|
| 1019 | !-- If wall between gridpoint 2 and gridpoint 4, then |
|---|
| 1020 | !-- Neumann boundary condition has to be applied |
|---|
| 1021 | !-- (only one case as only building beneath is possible) |
|---|
| 1022 | IF ( gp_outside_of_building(2) == 0 .AND. & |
|---|
| 1023 | gp_outside_of_building(4) == 1 ) THEN |
|---|
| 1024 | num_gp = num_gp + 1 |
|---|
| 1025 | location(num_gp,1) = i * dx |
|---|
| 1026 | location(num_gp,2) = (j+1) * dy |
|---|
| 1027 | location(num_gp,3) = k * dz |
|---|
| 1028 | ei(num_gp) = e(k+1,j+1,i) |
|---|
| 1029 | dissi(num_gp) = diss(k+1,j+1,i) |
|---|
| 1030 | de_dxi(num_gp) = de_dx(k+1,j+1,i) |
|---|
| 1031 | de_dyi(num_gp) = de_dy(k+1,j+1,i) |
|---|
| 1032 | de_dzi(num_gp) = 0.0_wp |
|---|
| 1033 | ENDIF |
|---|
| 1034 | |
|---|
| 1035 | ! |
|---|
| 1036 | !-- If wall between gridpoint 6 and gridpoint 8, then |
|---|
| 1037 | !-- Neumann boundary condition has to be applied |
|---|
| 1038 | !-- (only one case as only building beneath is possible) |
|---|
| 1039 | IF ( gp_outside_of_building(6) == 0 .AND. & |
|---|
| 1040 | gp_outside_of_building(8) == 1 ) THEN |
|---|
| 1041 | num_gp = num_gp + 1 |
|---|
| 1042 | location(num_gp,1) = (i+1) * dx |
|---|
| 1043 | location(num_gp,2) = (j+1) * dy |
|---|
| 1044 | location(num_gp,3) = k * dz |
|---|
| 1045 | ei(num_gp) = e(k+1,j+1,i+1) |
|---|
| 1046 | dissi(num_gp) = diss(k+1,j+1,i+1) |
|---|
| 1047 | de_dxi(num_gp) = de_dx(k+1,j+1,i+1) |
|---|
| 1048 | de_dyi(num_gp) = de_dy(k+1,j+1,i+1) |
|---|
| 1049 | de_dzi(num_gp) = 0.0_wp |
|---|
| 1050 | ENDIF |
|---|
| 1051 | |
|---|
| 1052 | ! |
|---|
| 1053 | !-- Carry out the interpolation |
|---|
| 1054 | IF ( num_gp == 1 ) THEN |
|---|
| 1055 | ! |
|---|
| 1056 | !-- If only one of the gridpoints is situated outside of the |
|---|
| 1057 | !-- building, it follows that the values at the particle |
|---|
| 1058 | !-- location are the same as the gridpoint values |
|---|
| 1059 | e_int(n) = ei(num_gp) |
|---|
| 1060 | diss_int(n) = dissi(num_gp) |
|---|
| 1061 | de_dx_int(n) = de_dxi(num_gp) |
|---|
| 1062 | de_dy_int(n) = de_dyi(num_gp) |
|---|
| 1063 | de_dz_int(n) = de_dzi(num_gp) |
|---|
| 1064 | ELSE IF ( num_gp > 1 ) THEN |
|---|
| 1065 | |
|---|
| 1066 | d_sum = 0.0_wp |
|---|
| 1067 | ! |
|---|
| 1068 | !-- Evaluation of the distances between the gridpoints |
|---|
| 1069 | !-- contributing to the interpolated values, and the particle |
|---|
| 1070 | !-- location |
|---|
| 1071 | DO agp = 1, num_gp |
|---|
| 1072 | d_gp_pl(agp) = ( particles(n)%x-location(agp,1) )**2 & |
|---|
| 1073 | + ( particles(n)%y-location(agp,2) )**2 & |
|---|
| 1074 | + ( zv(n)-location(agp,3) )**2 |
|---|
| 1075 | d_sum = d_sum + d_gp_pl(agp) |
|---|
| 1076 | ENDDO |
|---|
| 1077 | |
|---|
| 1078 | ! |
|---|
| 1079 | !-- Finally the interpolation can be carried out |
|---|
| 1080 | e_int(n) = 0.0_wp |
|---|
| 1081 | diss_int(n) = 0.0_wp |
|---|
| 1082 | de_dx_int(n) = 0.0_wp |
|---|
| 1083 | de_dy_int(n) = 0.0_wp |
|---|
| 1084 | de_dz_int(n) = 0.0_wp |
|---|
| 1085 | DO agp = 1, num_gp |
|---|
| 1086 | e_int(n) = e_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 1087 | ei(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 1088 | diss_int(n) = diss_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 1089 | dissi(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 1090 | de_dx_int(n) = de_dx_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 1091 | de_dxi(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 1092 | de_dy_int(n) = de_dy_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 1093 | de_dyi(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 1094 | de_dz_int(n) = de_dz_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 1095 | de_dzi(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 1096 | ENDDO |
|---|
| 1097 | |
|---|
| 1098 | ENDIF |
|---|
| 1099 | |
|---|
| 1100 | ENDIF |
|---|
| 1101 | ENDDO |
|---|
| 1102 | ENDIF |
|---|
| 1103 | |
|---|
| 1104 | DO nb = 0,7 |
|---|
| 1105 | i = ip + block_offset(nb)%i_off |
|---|
| 1106 | j = jp + block_offset(nb)%j_off |
|---|
| 1107 | k = kp + block_offset(nb)%k_off |
|---|
| 1108 | |
|---|
| 1109 | DO n = start_index(nb), end_index(nb) |
|---|
| 1110 | ! |
|---|
| 1111 | !-- Vertical interpolation of the horizontally averaged SGS TKE and |
|---|
| 1112 | !-- resolved-scale velocity variances and use the interpolated values |
|---|
| 1113 | !-- to calculate the coefficient fs, which is a measure of the ratio |
|---|
| 1114 | !-- of the subgrid-scale turbulent kinetic energy to the total amount |
|---|
| 1115 | !-- of turbulent kinetic energy. |
|---|
| 1116 | IF ( k == 0 ) THEN |
|---|
| 1117 | e_mean_int = hom(0,1,8,0) |
|---|
| 1118 | ELSE |
|---|
| 1119 | e_mean_int = hom(k,1,8,0) + & |
|---|
| 1120 | ( hom(k+1,1,8,0) - hom(k,1,8,0) ) / & |
|---|
| 1121 | ( zu(k+1) - zu(k) ) * & |
|---|
| 1122 | ( zv(n) - zu(k) ) |
|---|
| 1123 | ENDIF |
|---|
| 1124 | |
|---|
| 1125 | ! kw = particles(n)%z / dz |
|---|
| 1126 | kw = kp-1 ! ok for ocean??? ( + offset_ocean_nzt_m1 ???) |
|---|
| 1127 | |
|---|
| 1128 | IF ( k == 0 ) THEN |
|---|
| 1129 | aa = hom(k+1,1,30,0) * ( zv(n) / & |
|---|
| 1130 | ( 0.5_wp * ( zu(k+1) - zu(k) ) ) ) |
|---|
| 1131 | bb = hom(k+1,1,31,0) * ( zv(n) / & |
|---|
| 1132 | ( 0.5_wp * ( zu(k+1) - zu(k) ) ) ) |
|---|
| 1133 | cc = hom(kw+1,1,32,0) * ( zv(n) / & |
|---|
| 1134 | ( 1.0_wp * ( zw(kw+1) - zw(kw) ) ) ) |
|---|
| 1135 | ELSE |
|---|
| 1136 | aa = hom(k,1,30,0) + ( hom(k+1,1,30,0) - hom(k,1,30,0) ) * & |
|---|
| 1137 | ( ( zv(n) - zu(k) ) / ( zu(k+1) - zu(k) ) ) |
|---|
| 1138 | bb = hom(k,1,31,0) + ( hom(k+1,1,31,0) - hom(k,1,31,0) ) * & |
|---|
| 1139 | ( ( zv(n) - zu(k) ) / ( zu(k+1) - zu(k) ) ) |
|---|
| 1140 | cc = hom(kw,1,32,0) + ( hom(kw+1,1,32,0)-hom(kw,1,32,0) ) * & |
|---|
| 1141 | ( ( zv(n) - zw(kw) ) / ( zw(kw+1)-zw(kw) ) ) |
|---|
| 1142 | ENDIF |
|---|
| 1143 | |
|---|
| 1144 | vv_int = ( 1.0_wp / 3.0_wp ) * ( aa + bb + cc ) |
|---|
| 1145 | ! |
|---|
| 1146 | !-- Needed to avoid NaN particle velocities. The value of 1.0 is just |
|---|
| 1147 | !-- an educated guess for the given case. |
|---|
| 1148 | IF ( vv_int + ( 2.0_wp / 3.0_wp ) * e_mean_int == 0.0_wp ) THEN |
|---|
| 1149 | fs_int(n) = 1.0_wp |
|---|
| 1150 | ELSE |
|---|
| 1151 | fs_int(n) = ( 2.0_wp / 3.0_wp ) * e_mean_int / & |
|---|
| 1152 | ( vv_int + ( 2.0_wp / 3.0_wp ) * e_mean_int ) |
|---|
| 1153 | ENDIF |
|---|
| 1154 | |
|---|
| 1155 | ENDDO |
|---|
| 1156 | ENDDO |
|---|
| 1157 | |
|---|
| 1158 | DO n = 1, number_of_particles |
|---|
| 1159 | |
|---|
| 1160 | rg(n,1) = random_gauss( iran_part, 5.0_wp ) |
|---|
| 1161 | rg(n,2) = random_gauss( iran_part, 5.0_wp ) |
|---|
| 1162 | rg(n,3) = random_gauss( iran_part, 5.0_wp ) |
|---|
| 1163 | |
|---|
| 1164 | ENDDO |
|---|
| 1165 | |
|---|
| 1166 | DO n = 1, number_of_particles |
|---|
| 1167 | ! |
|---|
| 1168 | !-- Calculate the Lagrangian timescale according to Weil et al. (2004). |
|---|
| 1169 | lagr_timescale = ( 4.0_wp * e_int(n) ) / & |
|---|
| 1170 | ( 3.0_wp * fs_int(n) * c_0 * diss_int(n) ) |
|---|
| 1171 | |
|---|
| 1172 | ! |
|---|
| 1173 | !-- Calculate the next particle timestep. dt_gap is the time needed to |
|---|
| 1174 | !-- complete the current LES timestep. |
|---|
| 1175 | dt_gap = dt_3d - particles(n)%dt_sum |
|---|
| 1176 | dt_particle(n) = MIN( dt_3d, 0.025_wp * lagr_timescale, dt_gap ) |
|---|
| 1177 | |
|---|
| 1178 | ! |
|---|
| 1179 | !-- The particle timestep should not be too small in order to prevent |
|---|
| 1180 | !-- the number of particle timesteps of getting too large |
|---|
| 1181 | IF ( dt_particle(n) < dt_min_part .AND. dt_min_part < dt_gap ) THEN |
|---|
| 1182 | dt_particle(n) = dt_min_part |
|---|
| 1183 | ENDIF |
|---|
| 1184 | |
|---|
| 1185 | ! |
|---|
| 1186 | !-- Calculate the SGS velocity components |
|---|
| 1187 | IF ( particles(n)%age == 0.0_wp ) THEN |
|---|
| 1188 | ! |
|---|
| 1189 | !-- For new particles the SGS components are derived from the SGS |
|---|
| 1190 | !-- TKE. Limit the Gaussian random number to the interval |
|---|
| 1191 | !-- [-5.0*sigma, 5.0*sigma] in order to prevent the SGS velocities |
|---|
| 1192 | !-- from becoming unrealistically large. |
|---|
| 1193 | particles(n)%rvar1 = SQRT( 2.0_wp * sgs_wfu_part * e_int(n) ) * & |
|---|
| 1194 | ( rg(n,1) - 1.0_wp ) |
|---|
| 1195 | particles(n)%rvar2 = SQRT( 2.0_wp * sgs_wfv_part * e_int(n) ) * & |
|---|
| 1196 | ( rg(n,2) - 1.0_wp ) |
|---|
| 1197 | particles(n)%rvar3 = SQRT( 2.0_wp * sgs_wfw_part * e_int(n) ) * & |
|---|
| 1198 | ( rg(n,3) - 1.0_wp ) |
|---|
| 1199 | |
|---|
| 1200 | ELSE |
|---|
| 1201 | ! |
|---|
| 1202 | !-- Restriction of the size of the new timestep: compared to the |
|---|
| 1203 | !-- previous timestep the increase must not exceed 200% |
|---|
| 1204 | |
|---|
| 1205 | dt_particle_m = particles(n)%age - particles(n)%age_m |
|---|
| 1206 | IF ( dt_particle(n) > 2.0_wp * dt_particle_m ) THEN |
|---|
| 1207 | dt_particle(n) = 2.0_wp * dt_particle_m |
|---|
| 1208 | ENDIF |
|---|
| 1209 | |
|---|
| 1210 | ! |
|---|
| 1211 | !-- For old particles the SGS components are correlated with the |
|---|
| 1212 | !-- values from the previous timestep. Random numbers have also to |
|---|
| 1213 | !-- be limited (see above). |
|---|
| 1214 | !-- As negative values for the subgrid TKE are not allowed, the |
|---|
| 1215 | !-- change of the subgrid TKE with time cannot be smaller than |
|---|
| 1216 | !-- -e_int(n)/dt_particle. This value is used as a lower boundary |
|---|
| 1217 | !-- value for the change of TKE |
|---|
| 1218 | |
|---|
| 1219 | de_dt_min = - e_int(n) / dt_particle(n) |
|---|
| 1220 | |
|---|
| 1221 | de_dt = ( e_int(n) - particles(n)%e_m ) / dt_particle_m |
|---|
| 1222 | |
|---|
| 1223 | IF ( de_dt < de_dt_min ) THEN |
|---|
| 1224 | de_dt = de_dt_min |
|---|
| 1225 | ENDIF |
|---|
| 1226 | |
|---|
| 1227 | particles(n)%rvar1 = particles(n)%rvar1 - fs_int(n) * c_0 * & |
|---|
| 1228 | diss_int(n) * particles(n)%rvar1 * dt_particle(n) / & |
|---|
| 1229 | ( 4.0_wp * sgs_wfu_part * e_int(n) ) + & |
|---|
| 1230 | ( 2.0_wp * sgs_wfu_part * de_dt * & |
|---|
| 1231 | particles(n)%rvar1 / & |
|---|
| 1232 | ( 2.0_wp * sgs_wfu_part * e_int(n) ) + & |
|---|
| 1233 | de_dx_int(n) & |
|---|
| 1234 | ) * dt_particle(n) / 2.0_wp + & |
|---|
| 1235 | SQRT( fs_int(n) * c_0 * diss_int(n) ) * & |
|---|
| 1236 | ( rg(n,1) - 1.0_wp ) * & |
|---|
| 1237 | SQRT( dt_particle(n) ) |
|---|
| 1238 | |
|---|
| 1239 | particles(n)%rvar2 = particles(n)%rvar2 - fs_int(n) * c_0 * & |
|---|
| 1240 | diss_int(n) * particles(n)%rvar2 * dt_particle(n) / & |
|---|
| 1241 | ( 4.0_wp * sgs_wfv_part * e_int(n) ) + & |
|---|
| 1242 | ( 2.0_wp * sgs_wfv_part * de_dt * & |
|---|
| 1243 | particles(n)%rvar2 / & |
|---|
| 1244 | ( 2.0_wp * sgs_wfv_part * e_int(n) ) + & |
|---|
| 1245 | de_dy_int(n) & |
|---|
| 1246 | ) * dt_particle(n) / 2.0_wp + & |
|---|
| 1247 | SQRT( fs_int(n) * c_0 * diss_int(n) ) * & |
|---|
| 1248 | ( rg(n,2) - 1.0_wp ) * & |
|---|
| 1249 | SQRT( dt_particle(n) ) |
|---|
| 1250 | |
|---|
| 1251 | particles(n)%rvar3 = particles(n)%rvar3 - fs_int(n) * c_0 * & |
|---|
| 1252 | diss_int(n) * particles(n)%rvar3 * dt_particle(n) / & |
|---|
| 1253 | ( 4.0_wp * sgs_wfw_part * e_int(n) ) + & |
|---|
| 1254 | ( 2.0_wp * sgs_wfw_part * de_dt * & |
|---|
| 1255 | particles(n)%rvar3 / & |
|---|
| 1256 | ( 2.0_wp * sgs_wfw_part * e_int(n) ) + & |
|---|
| 1257 | de_dz_int(n) & |
|---|
| 1258 | ) * dt_particle(n) / 2.0_wp + & |
|---|
| 1259 | SQRT( fs_int(n) * c_0 * diss_int(n) ) * & |
|---|
| 1260 | ( rg(n,3) - 1.0_wp ) * & |
|---|
| 1261 | SQRT( dt_particle(n) ) |
|---|
| 1262 | |
|---|
| 1263 | ENDIF |
|---|
| 1264 | u_int(n) = u_int(n) + particles(n)%rvar1 |
|---|
| 1265 | v_int(n) = v_int(n) + particles(n)%rvar2 |
|---|
| 1266 | w_int(n) = w_int(n) + particles(n)%rvar3 |
|---|
| 1267 | |
|---|
| 1268 | ! |
|---|
| 1269 | !-- Store the SGS TKE of the current timelevel which is needed for |
|---|
| 1270 | !-- for calculating the SGS particle velocities at the next timestep |
|---|
| 1271 | particles(n)%e_m = e_int(n) |
|---|
| 1272 | ENDDO |
|---|
| 1273 | |
|---|
| 1274 | ELSE |
|---|
| 1275 | ! |
|---|
| 1276 | !-- If no SGS velocities are used, only the particle timestep has to |
|---|
| 1277 | !-- be set |
|---|
| 1278 | dt_particle = dt_3d |
|---|
| 1279 | |
|---|
| 1280 | ENDIF |
|---|
| 1281 | ! |
|---|
| 1282 | !-- Store the old age of the particle ( needed to prevent that a |
|---|
| 1283 | !-- particle crosses several PEs during one timestep, and for the |
|---|
| 1284 | !-- evaluation of the subgrid particle velocity fluctuations ) |
|---|
| 1285 | particles(1:number_of_particles)%age_m = particles(1:number_of_particles)%age |
|---|
| 1286 | |
|---|
| 1287 | dens_ratio = particle_groups(particles(1:number_of_particles)%group)%density_ratio |
|---|
| 1288 | |
|---|
| 1289 | IF ( ANY( dens_ratio == 0.0_wp ) ) THEN |
|---|
| 1290 | DO n = 1, number_of_particles |
|---|
| 1291 | |
|---|
| 1292 | ! |
|---|
| 1293 | !-- Particle advection |
|---|
| 1294 | IF ( dens_ratio(n) == 0.0_wp ) THEN |
|---|
| 1295 | ! |
|---|
| 1296 | !-- Pure passive transport (without particle inertia) |
|---|
| 1297 | particles(n)%x = xv(n) + u_int(n) * dt_particle(n) |
|---|
| 1298 | particles(n)%y = yv(n) + v_int(n) * dt_particle(n) |
|---|
| 1299 | particles(n)%z = zv(n) + w_int(n) * dt_particle(n) |
|---|
| 1300 | |
|---|
| 1301 | particles(n)%speed_x = u_int(n) |
|---|
| 1302 | particles(n)%speed_y = v_int(n) |
|---|
| 1303 | particles(n)%speed_z = w_int(n) |
|---|
| 1304 | |
|---|
| 1305 | ELSE |
|---|
| 1306 | ! |
|---|
| 1307 | !-- Transport of particles with inertia |
|---|
| 1308 | particles(n)%x = particles(n)%x + particles(n)%speed_x * & |
|---|
| 1309 | dt_particle(n) |
|---|
| 1310 | particles(n)%y = particles(n)%y + particles(n)%speed_y * & |
|---|
| 1311 | dt_particle(n) |
|---|
| 1312 | particles(n)%z = particles(n)%z + particles(n)%speed_z * & |
|---|
| 1313 | dt_particle(n) |
|---|
| 1314 | |
|---|
| 1315 | ! |
|---|
| 1316 | !-- Update of the particle velocity |
|---|
| 1317 | IF ( cloud_droplets ) THEN |
|---|
| 1318 | exp_arg = 4.5_wp * dens_ratio(n) * molecular_viscosity / & |
|---|
| 1319 | ( particles(n)%radius )**2 * & |
|---|
| 1320 | ( 1.0_wp + 0.15_wp * ( 2.0_wp * particles(n)%radius & |
|---|
| 1321 | * SQRT( ( u_int(n) - particles(n)%speed_x )**2 + & |
|---|
| 1322 | ( v_int(n) - particles(n)%speed_y )**2 + & |
|---|
| 1323 | ( w_int(n) - particles(n)%speed_z )**2 ) & |
|---|
| 1324 | / molecular_viscosity )**0.687_wp & |
|---|
| 1325 | ) |
|---|
| 1326 | |
|---|
| 1327 | exp_term = EXP( -exp_arg * dt_particle(n) ) |
|---|
| 1328 | ELSEIF ( use_sgs_for_particles ) THEN |
|---|
| 1329 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
|---|
| 1330 | exp_term = EXP( -exp_arg * dt_particle(n) ) |
|---|
| 1331 | ELSE |
|---|
| 1332 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
|---|
| 1333 | exp_term = particle_groups(particles(n)%group)%exp_term |
|---|
| 1334 | ENDIF |
|---|
| 1335 | particles(n)%speed_x = particles(n)%speed_x * exp_term + & |
|---|
| 1336 | u_int(n) * ( 1.0_wp - exp_term ) |
|---|
| 1337 | particles(n)%speed_y = particles(n)%speed_y * exp_term + & |
|---|
| 1338 | v_int(n) * ( 1.0_wp - exp_term ) |
|---|
| 1339 | particles(n)%speed_z = particles(n)%speed_z * exp_term + & |
|---|
| 1340 | ( w_int(n) - ( 1.0_wp - dens_ratio(n) ) * & |
|---|
| 1341 | g / exp_arg ) * ( 1.0_wp - exp_term ) |
|---|
| 1342 | ENDIF |
|---|
| 1343 | |
|---|
| 1344 | ENDDO |
|---|
| 1345 | |
|---|
| 1346 | ELSE |
|---|
| 1347 | |
|---|
| 1348 | DO n = 1, number_of_particles |
|---|
| 1349 | |
|---|
| 1350 | !-- Transport of particles with inertia |
|---|
| 1351 | particles(n)%x = xv(n) + particles(n)%speed_x * dt_particle(n) |
|---|
| 1352 | particles(n)%y = yv(n) + particles(n)%speed_y * dt_particle(n) |
|---|
| 1353 | particles(n)%z = zv(n) + particles(n)%speed_z * dt_particle(n) |
|---|
| 1354 | ! |
|---|
| 1355 | !-- Update of the particle velocity |
|---|
| 1356 | IF ( cloud_droplets ) THEN |
|---|
| 1357 | |
|---|
| 1358 | exp_arg = 4.5_wp * dens_ratio(n) * molecular_viscosity / & |
|---|
| 1359 | ( particles(n)%radius )**2 * & |
|---|
| 1360 | ( 1.0_wp + 0.15_wp * ( 2.0_wp * particles(n)%radius * & |
|---|
| 1361 | SQRT( ( u_int(n) - particles(n)%speed_x )**2 + & |
|---|
| 1362 | ( v_int(n) - particles(n)%speed_y )**2 + & |
|---|
| 1363 | ( w_int(n) - particles(n)%speed_z )**2 ) / & |
|---|
| 1364 | molecular_viscosity )**0.687_wp & |
|---|
| 1365 | ) |
|---|
| 1366 | |
|---|
| 1367 | exp_term = EXP( -exp_arg * dt_particle(n) ) |
|---|
| 1368 | ELSEIF ( use_sgs_for_particles ) THEN |
|---|
| 1369 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
|---|
| 1370 | exp_term = EXP( -exp_arg * dt_particle(n) ) |
|---|
| 1371 | ELSE |
|---|
| 1372 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
|---|
| 1373 | exp_term = particle_groups(particles(n)%group)%exp_term |
|---|
| 1374 | ENDIF |
|---|
| 1375 | particles(n)%speed_x = particles(n)%speed_x * exp_term + & |
|---|
| 1376 | u_int(n) * ( 1.0_wp - exp_term ) |
|---|
| 1377 | particles(n)%speed_y = particles(n)%speed_y * exp_term + & |
|---|
| 1378 | v_int(n) * ( 1.0_wp - exp_term ) |
|---|
| 1379 | particles(n)%speed_z = particles(n)%speed_z * exp_term + & |
|---|
| 1380 | ( w_int(n) - ( 1.0_wp - dens_ratio(n) ) * g / & |
|---|
| 1381 | exp_arg ) * ( 1.0_wp - exp_term ) |
|---|
| 1382 | ENDDO |
|---|
| 1383 | |
|---|
| 1384 | ENDIF |
|---|
| 1385 | |
|---|
| 1386 | DO n = 1, number_of_particles |
|---|
| 1387 | ! |
|---|
| 1388 | !-- Increment the particle age and the total time that the particle |
|---|
| 1389 | !-- has advanced within the particle timestep procedure |
|---|
| 1390 | particles(n)%age = particles(n)%age + dt_particle(n) |
|---|
| 1391 | particles(n)%dt_sum = particles(n)%dt_sum + dt_particle(n) |
|---|
| 1392 | |
|---|
| 1393 | ! |
|---|
| 1394 | !-- Check whether there is still a particle that has not yet completed |
|---|
| 1395 | !-- the total LES timestep |
|---|
| 1396 | IF ( ( dt_3d - particles(n)%dt_sum ) > 1E-8_wp ) THEN |
|---|
| 1397 | dt_3d_reached_l = .FALSE. |
|---|
| 1398 | ENDIF |
|---|
| 1399 | |
|---|
| 1400 | ENDDO |
|---|
| 1401 | |
|---|
| 1402 | CALL cpu_log( log_point_s(44), 'lpm_advec', 'pause' ) |
|---|
| 1403 | |
|---|
| 1404 | END SUBROUTINE lpm_advec |
|---|
