| 1 | SUBROUTINE lpm_droplet_collision |
|---|
| 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 | ! ONLY-attribute added to USE-statements, |
|---|
| 23 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
|---|
| 24 | ! kinds are defined in new module kinds, |
|---|
| 25 | ! revision history before 2012 removed, |
|---|
| 26 | ! comment fields (!:) to be used for variable explanations added to |
|---|
| 27 | ! all variable declaration statements |
|---|
| 28 | ! |
|---|
| 29 | ! Former revisions: |
|---|
| 30 | ! ----------------- |
|---|
| 31 | ! $Id: lpm_droplet_collision.f90 1320 2014-03-20 08:40:49Z raasch $ |
|---|
| 32 | ! |
|---|
| 33 | ! 1092 2013-02-02 11:24:22Z raasch |
|---|
| 34 | ! unused variables removed |
|---|
| 35 | ! |
|---|
| 36 | ! 1071 2012-11-29 16:54:55Z franke |
|---|
| 37 | ! Calculation of Hall and Wang kernel now uses collision-coalescence formulation |
|---|
| 38 | ! proposed by Wang instead of the continuous collection equation (for more |
|---|
| 39 | ! information about new method see PALM documentation) |
|---|
| 40 | ! Bugfix: message identifiers added |
|---|
| 41 | ! |
|---|
| 42 | ! 1036 2012-10-22 13:43:42Z raasch |
|---|
| 43 | ! code put under GPL (PALM 3.9) |
|---|
| 44 | ! |
|---|
| 45 | ! 849 2012-03-15 10:35:09Z raasch |
|---|
| 46 | ! initial revision (former part of advec_particles) |
|---|
| 47 | ! |
|---|
| 48 | ! |
|---|
| 49 | ! Description: |
|---|
| 50 | ! ------------ |
|---|
| 51 | ! Calculates change in droplet radius by collision. Droplet collision is |
|---|
| 52 | ! calculated for each grid box seperately. Collision is parameterized by |
|---|
| 53 | ! using collision kernels. Three different kernels are available: |
|---|
| 54 | ! PALM kernel: Kernel is approximated using a method from Rogers and |
|---|
| 55 | ! Yau (1989, A Short Course in Cloud Physics, Pergamon Press). |
|---|
| 56 | ! All droplets smaller than the treated one are represented by |
|---|
| 57 | ! one droplet with mean features. Collision efficiencies are taken |
|---|
| 58 | ! from the respective table in Rogers and Yau. |
|---|
| 59 | ! Hall kernel: Kernel from Hall (1980, J. Atmos. Sci., 2486-2507), which |
|---|
| 60 | ! considers collision due to pure gravitational effects. |
|---|
| 61 | ! Wang kernel: Beside gravitational effects (treated with the Hall-kernel) also |
|---|
| 62 | ! the effects of turbulence on the collision are considered using |
|---|
| 63 | ! parameterizations of Ayala et al. (2008, New J. Phys., 10, |
|---|
| 64 | ! 075015) and Wang and Grabowski (2009, Atmos. Sci. Lett., 10, |
|---|
| 65 | ! 1-8). This kernel includes three possible effects of turbulence: |
|---|
| 66 | ! the modification of the relative velocity between the droplets, |
|---|
| 67 | ! the effect of preferential concentration, and the enhancement of |
|---|
| 68 | ! collision efficiencies. |
|---|
| 69 | !------------------------------------------------------------------------------! |
|---|
| 70 | |
|---|
| 71 | USE arrays_3d, & |
|---|
| 72 | ONLY: diss, ql, ql_v, ql_vp, u, v, w, zu, zw |
|---|
| 73 | |
|---|
| 74 | USE cloud_parameters, & |
|---|
| 75 | ONLY: effective_coll_efficiency |
|---|
| 76 | |
|---|
| 77 | USE constants, & |
|---|
| 78 | ONLY: pi |
|---|
| 79 | |
|---|
| 80 | USE control_parameters, & |
|---|
| 81 | ONLY: dt_3d, message_string, u_gtrans, v_gtrans, dz |
|---|
| 82 | |
|---|
| 83 | USE cpulog, & |
|---|
| 84 | ONLY: cpu_log, log_point_s |
|---|
| 85 | |
|---|
| 86 | USE grid_variables, & |
|---|
| 87 | ONLY: ddx, dx, ddy, dy |
|---|
| 88 | |
|---|
| 89 | USE indices, & |
|---|
| 90 | ONLY: nxl, nxr, nyn, nys, nzb, nzt |
|---|
| 91 | |
|---|
| 92 | USE kinds |
|---|
| 93 | |
|---|
| 94 | USE lpm_collision_kernels_mod, & |
|---|
| 95 | ONLY: ckernel, collision_efficiency_rogers, recalculate_kernel |
|---|
| 96 | |
|---|
| 97 | USE particle_attributes, & |
|---|
| 98 | ONLY: deleted_particles, dissipation_classes, hall_kernel, & |
|---|
| 99 | palm_kernel, particles, particle_mask, particle_type, & |
|---|
| 100 | prt_count, prt_start_index, use_kernel_tables, wang_kernel |
|---|
| 101 | |
|---|
| 102 | IMPLICIT NONE |
|---|
| 103 | |
|---|
| 104 | INTEGER(iwp) :: eclass !: |
|---|
| 105 | INTEGER(iwp) :: i !: |
|---|
| 106 | INTEGER(iwp) :: ii !: |
|---|
| 107 | INTEGER(iwp) :: inc !: |
|---|
| 108 | INTEGER(iwp) :: is !: |
|---|
| 109 | INTEGER(iwp) :: j !: |
|---|
| 110 | INTEGER(iwp) :: jj !: |
|---|
| 111 | INTEGER(iwp) :: js !: |
|---|
| 112 | INTEGER(iwp) :: k !: |
|---|
| 113 | INTEGER(iwp) :: kk !: |
|---|
| 114 | INTEGER(iwp) :: n !: |
|---|
| 115 | INTEGER(iwp) :: pse !: |
|---|
| 116 | INTEGER(iwp) :: psi !: |
|---|
| 117 | INTEGER(iwp) :: rclass_l !: |
|---|
| 118 | INTEGER(iwp) :: rclass_s !: |
|---|
| 119 | |
|---|
| 120 | REAL(wp) :: aa !: |
|---|
| 121 | REAL(wp) :: bb !: |
|---|
| 122 | REAL(wp) :: cc !: |
|---|
| 123 | REAL(wp) :: dd !: |
|---|
| 124 | REAL(wp) :: ddV !: |
|---|
| 125 | REAL(wp) :: delta_r !: |
|---|
| 126 | REAL(wp) :: delta_v !: |
|---|
| 127 | REAL(wp) :: epsilon !: |
|---|
| 128 | REAL(wp) :: gg !: |
|---|
| 129 | REAL(wp) :: mean_r !: |
|---|
| 130 | REAL(wp) :: ql_int !: |
|---|
| 131 | REAL(wp) :: ql_int_l !: |
|---|
| 132 | REAL(wp) :: ql_int_u !: |
|---|
| 133 | REAL(wp) :: r3 !: |
|---|
| 134 | REAL(wp) :: sl_r3 !: |
|---|
| 135 | REAL(wp) :: sl_r4 !: |
|---|
| 136 | REAL(wp) :: sum1 !: |
|---|
| 137 | REAL(wp) :: sum2 !: |
|---|
| 138 | REAL(wp) :: sum3 !: |
|---|
| 139 | REAL(wp) :: u_int !: |
|---|
| 140 | REAL(wp) :: u_int_l !: |
|---|
| 141 | REAL(wp) :: u_int_u !: |
|---|
| 142 | REAL(wp) :: v_int !: |
|---|
| 143 | REAL(wp) :: v_int_l !: |
|---|
| 144 | REAL(wp) :: v_int_u !: |
|---|
| 145 | REAL(wp) :: w_int !: |
|---|
| 146 | REAL(wp) :: w_int_l !: |
|---|
| 147 | REAL(wp) :: w_int_u !: |
|---|
| 148 | REAL(wp) :: x !: |
|---|
| 149 | REAL(wp) :: y !: |
|---|
| 150 | |
|---|
| 151 | REAL(wp), DIMENSION(:), ALLOCATABLE :: rad !: |
|---|
| 152 | REAL(wp), DIMENSION(:), ALLOCATABLE :: weight !: |
|---|
| 153 | |
|---|
| 154 | |
|---|
| 155 | TYPE(particle_type) :: tmp_particle !: |
|---|
| 156 | |
|---|
| 157 | |
|---|
| 158 | |
|---|
| 159 | CALL cpu_log( log_point_s(43), 'lpm_droplet_coll', 'start' ) |
|---|
| 160 | |
|---|
| 161 | DO i = nxl, nxr |
|---|
| 162 | DO j = nys, nyn |
|---|
| 163 | DO k = nzb+1, nzt |
|---|
| 164 | ! |
|---|
| 165 | !-- Collision requires at least two particles in the box |
|---|
| 166 | IF ( prt_count(k,j,i) > 1 ) THEN |
|---|
| 167 | ! |
|---|
| 168 | !-- First, sort particles within the gridbox by their size, |
|---|
| 169 | !-- using Shell's method (see Numerical Recipes) |
|---|
| 170 | !-- NOTE: In case of using particle tails, the re-sorting of |
|---|
| 171 | !-- ---- tails would have to be included here! |
|---|
| 172 | psi = prt_start_index(k,j,i) - 1 |
|---|
| 173 | inc = 1 |
|---|
| 174 | DO WHILE ( inc <= prt_count(k,j,i) ) |
|---|
| 175 | inc = 3 * inc + 1 |
|---|
| 176 | ENDDO |
|---|
| 177 | |
|---|
| 178 | DO WHILE ( inc > 1 ) |
|---|
| 179 | inc = inc / 3 |
|---|
| 180 | DO is = inc+1, prt_count(k,j,i) |
|---|
| 181 | tmp_particle = particles(psi+is) |
|---|
| 182 | js = is |
|---|
| 183 | DO WHILE ( particles(psi+js-inc)%radius > & |
|---|
| 184 | tmp_particle%radius ) |
|---|
| 185 | particles(psi+js) = particles(psi+js-inc) |
|---|
| 186 | js = js - inc |
|---|
| 187 | IF ( js <= inc ) EXIT |
|---|
| 188 | ENDDO |
|---|
| 189 | particles(psi+js) = tmp_particle |
|---|
| 190 | ENDDO |
|---|
| 191 | ENDDO |
|---|
| 192 | |
|---|
| 193 | psi = prt_start_index(k,j,i) |
|---|
| 194 | pse = psi + prt_count(k,j,i)-1 |
|---|
| 195 | |
|---|
| 196 | ! |
|---|
| 197 | !-- Now apply the different kernels |
|---|
| 198 | IF ( ( hall_kernel .OR. wang_kernel ) .AND. & |
|---|
| 199 | use_kernel_tables ) THEN |
|---|
| 200 | ! |
|---|
| 201 | !-- Fast method with pre-calculated efficiencies for |
|---|
| 202 | !-- discrete radius- and dissipation-classes. |
|---|
| 203 | ! |
|---|
| 204 | !-- Determine dissipation class index of this gridbox |
|---|
| 205 | IF ( wang_kernel ) THEN |
|---|
| 206 | eclass = INT( diss(k,j,i) * 1.0E4 / 1000.0 * & |
|---|
| 207 | dissipation_classes ) + 1 |
|---|
| 208 | epsilon = diss(k,j,i) |
|---|
| 209 | ELSE |
|---|
| 210 | epsilon = 0.0 |
|---|
| 211 | ENDIF |
|---|
| 212 | IF ( hall_kernel .OR. epsilon * 1.0E4 < 0.001 ) THEN |
|---|
| 213 | eclass = 0 ! Hall kernel is used |
|---|
| 214 | ELSE |
|---|
| 215 | eclass = MIN( dissipation_classes, eclass ) |
|---|
| 216 | ENDIF |
|---|
| 217 | |
|---|
| 218 | ! |
|---|
| 219 | !-- Droplet collision are calculated using collision-coalescence |
|---|
| 220 | !-- formulation proposed by Wang (see PALM documentation) |
|---|
| 221 | !-- Since new radii after collision are defined by radii of all |
|---|
| 222 | !-- droplets before collision, temporary fields for new radii and |
|---|
| 223 | !-- weighting factors are needed |
|---|
| 224 | ALLOCATE(rad(1:prt_count(k,j,i)), weight(1:prt_count(k,j,i))) |
|---|
| 225 | |
|---|
| 226 | rad = 0.0 |
|---|
| 227 | weight = 0.0 |
|---|
| 228 | |
|---|
| 229 | DO n = psi, pse, 1 |
|---|
| 230 | |
|---|
| 231 | sum1 = 0.0 |
|---|
| 232 | sum2 = 0.0 |
|---|
| 233 | sum3 = 0.0 |
|---|
| 234 | |
|---|
| 235 | rclass_l = particles(n)%class |
|---|
| 236 | ! |
|---|
| 237 | !-- Mass added due to collisions with smaller droplets |
|---|
| 238 | DO is = psi, n-1 |
|---|
| 239 | |
|---|
| 240 | rclass_s = particles(is)%class |
|---|
| 241 | sum1 = sum1 + ( particles(is)%radius**3 * & |
|---|
| 242 | ckernel(rclass_l,rclass_s,eclass) * & |
|---|
| 243 | particles(is)%weight_factor ) |
|---|
| 244 | |
|---|
| 245 | ENDDO |
|---|
| 246 | ! |
|---|
| 247 | !-- Rate of collisions with larger droplets |
|---|
| 248 | DO is = n+1, pse |
|---|
| 249 | |
|---|
| 250 | rclass_s = particles(is)%class |
|---|
| 251 | sum2 = sum2 + ( ckernel(rclass_l,rclass_s,eclass) * & |
|---|
| 252 | particles(is)%weight_factor ) |
|---|
| 253 | |
|---|
| 254 | ENDDO |
|---|
| 255 | |
|---|
| 256 | r3 = particles(n)%radius**3 |
|---|
| 257 | ddV = ddx * ddy / dz |
|---|
| 258 | is = prt_start_index(k,j,i) |
|---|
| 259 | ! |
|---|
| 260 | !-- Change of the current weighting factor |
|---|
| 261 | sum3 = 1 - dt_3d * ddV * & |
|---|
| 262 | ckernel(rclass_l,rclass_l,eclass) * & |
|---|
| 263 | ( particles(n)%weight_factor - 1 ) * 0.5 - & |
|---|
| 264 | dt_3d * ddV * sum2 |
|---|
| 265 | weight(n-is+1) = particles(n)%weight_factor * sum3 |
|---|
| 266 | ! |
|---|
| 267 | !-- Change of the current droplet radius |
|---|
| 268 | rad(n-is+1) = ( (r3 + dt_3d * ddV * (sum1 - sum2 * r3) )/& |
|---|
| 269 | sum3 )**0.33333333333333 |
|---|
| 270 | |
|---|
| 271 | IF ( weight(n-is+1) < 0.0 ) THEN |
|---|
| 272 | WRITE( message_string, * ) 'negative weighting', & |
|---|
| 273 | 'factor: ', weight(n-is+1) |
|---|
| 274 | CALL message( 'lpm_droplet_collision', 'PA0028', & |
|---|
| 275 | 2, 2, -1, 6, 1 ) |
|---|
| 276 | ENDIF |
|---|
| 277 | |
|---|
| 278 | ql_vp(k,j,i) = ql_vp(k,j,i) + weight(n-is+1) & |
|---|
| 279 | * rad(n-is+1)**3 |
|---|
| 280 | |
|---|
| 281 | ENDDO |
|---|
| 282 | |
|---|
| 283 | particles(psi:pse)%radius = rad(1:prt_count(k,j,i)) |
|---|
| 284 | particles(psi:pse)%weight_factor = weight(1:prt_count(k,j,i)) |
|---|
| 285 | |
|---|
| 286 | DEALLOCATE(rad, weight) |
|---|
| 287 | |
|---|
| 288 | ELSEIF ( ( hall_kernel .OR. wang_kernel ) .AND. & |
|---|
| 289 | .NOT. use_kernel_tables ) THEN |
|---|
| 290 | ! |
|---|
| 291 | !-- Collision efficiencies are calculated for every new |
|---|
| 292 | !-- grid box. First, allocate memory for kernel table. |
|---|
| 293 | !-- Third dimension is 1, because table is re-calculated for |
|---|
| 294 | !-- every new dissipation value. |
|---|
| 295 | ALLOCATE( ckernel(prt_start_index(k,j,i): & |
|---|
| 296 | prt_start_index(k,j,i)+prt_count(k,j,i)-1, & |
|---|
| 297 | prt_start_index(k,j,i): & |
|---|
| 298 | prt_start_index(k,j,i)+prt_count(k,j,i)-1,1:1) ) |
|---|
| 299 | ! |
|---|
| 300 | !-- Now calculate collision efficiencies for this box |
|---|
| 301 | CALL recalculate_kernel( i, j, k ) |
|---|
| 302 | |
|---|
| 303 | ! |
|---|
| 304 | !-- Droplet collision are calculated using collision-coalescence |
|---|
| 305 | !-- formulation proposed by Wang (see PALM documentation) |
|---|
| 306 | !-- Since new radii after collision are defined by radii of all |
|---|
| 307 | !-- droplets before collision, temporary fields for new radii and |
|---|
| 308 | !-- weighting factors are needed |
|---|
| 309 | ALLOCATE(rad(1:prt_count(k,j,i)), weight(1:prt_count(k,j,i))) |
|---|
| 310 | |
|---|
| 311 | rad = 0.0 |
|---|
| 312 | weight = 0.0 |
|---|
| 313 | |
|---|
| 314 | DO n = psi, pse, 1 |
|---|
| 315 | |
|---|
| 316 | sum1 = 0.0 |
|---|
| 317 | sum2 = 0.0 |
|---|
| 318 | sum3 = 0.0 |
|---|
| 319 | ! |
|---|
| 320 | !-- Mass added due to collisions with smaller droplets |
|---|
| 321 | DO is = psi, n-1 |
|---|
| 322 | sum1 = sum1 + ( particles(is)%radius**3 * & |
|---|
| 323 | ckernel(n,is,1) * & |
|---|
| 324 | particles(is)%weight_factor ) |
|---|
| 325 | ENDDO |
|---|
| 326 | ! |
|---|
| 327 | !-- Rate of collisions with larger droplets |
|---|
| 328 | DO is = n+1, pse |
|---|
| 329 | sum2 = sum2 + ( ckernel(n,is,1) * & |
|---|
| 330 | particles(is)%weight_factor ) |
|---|
| 331 | ENDDO |
|---|
| 332 | |
|---|
| 333 | r3 = particles(n)%radius**3 |
|---|
| 334 | ddV = ddx * ddy / dz |
|---|
| 335 | is = prt_start_index(k,j,i) |
|---|
| 336 | ! |
|---|
| 337 | !-- Change of the current weighting factor |
|---|
| 338 | sum3 = 1 - dt_3d * ddV * & |
|---|
| 339 | ckernel(n,n,1) * & |
|---|
| 340 | ( particles(n)%weight_factor - 1 ) * 0.5 - & |
|---|
| 341 | dt_3d * ddV * sum2 |
|---|
| 342 | weight(n-is+1) = particles(n)%weight_factor * sum3 |
|---|
| 343 | ! |
|---|
| 344 | !-- Change of the current droplet radius |
|---|
| 345 | rad(n-is+1) = ( (r3 + dt_3d * ddV * (sum1 - sum2 * r3) )/& |
|---|
| 346 | sum3 )**0.33333333333333 |
|---|
| 347 | |
|---|
| 348 | IF ( weight(n-is+1) < 0.0 ) THEN |
|---|
| 349 | WRITE( message_string, * ) 'negative weighting', & |
|---|
| 350 | 'factor: ', weight(n-is+1) |
|---|
| 351 | CALL message( 'lpm_droplet_collision', 'PA0037', & |
|---|
| 352 | 2, 2, -1, 6, 1 ) |
|---|
| 353 | ENDIF |
|---|
| 354 | |
|---|
| 355 | ql_vp(k,j,i) = ql_vp(k,j,i) + weight(n-is+1) & |
|---|
| 356 | * rad(n-is+1)**3 |
|---|
| 357 | |
|---|
| 358 | ENDDO |
|---|
| 359 | |
|---|
| 360 | particles(psi:pse)%radius = rad(1:prt_count(k,j,i)) |
|---|
| 361 | particles(psi:pse)%weight_factor = weight(1:prt_count(k,j,i)) |
|---|
| 362 | |
|---|
| 363 | DEALLOCATE( rad, weight, ckernel ) |
|---|
| 364 | |
|---|
| 365 | ELSEIF ( palm_kernel ) THEN |
|---|
| 366 | ! |
|---|
| 367 | !-- PALM collision kernel |
|---|
| 368 | ! |
|---|
| 369 | !-- Calculate the mean radius of all those particles which |
|---|
| 370 | !-- are of smaller size than the current particle and |
|---|
| 371 | !-- use this radius for calculating the collision efficiency |
|---|
| 372 | DO n = psi+prt_count(k,j,i)-1, psi+1, -1 |
|---|
| 373 | |
|---|
| 374 | sl_r3 = 0.0 |
|---|
| 375 | sl_r4 = 0.0 |
|---|
| 376 | |
|---|
| 377 | DO is = n-1, psi, -1 |
|---|
| 378 | IF ( particles(is)%radius < particles(n)%radius ) & |
|---|
| 379 | THEN |
|---|
| 380 | sl_r3 = sl_r3 + particles(is)%weight_factor & |
|---|
| 381 | * particles(is)%radius**3 |
|---|
| 382 | sl_r4 = sl_r4 + particles(is)%weight_factor & |
|---|
| 383 | * particles(is)%radius**4 |
|---|
| 384 | ENDIF |
|---|
| 385 | ENDDO |
|---|
| 386 | |
|---|
| 387 | IF ( ( sl_r3 ) > 0.0 ) THEN |
|---|
| 388 | mean_r = ( sl_r4 ) / ( sl_r3 ) |
|---|
| 389 | |
|---|
| 390 | CALL collision_efficiency_rogers( mean_r, & |
|---|
| 391 | particles(n)%radius, & |
|---|
| 392 | effective_coll_efficiency ) |
|---|
| 393 | |
|---|
| 394 | ELSE |
|---|
| 395 | effective_coll_efficiency = 0.0 |
|---|
| 396 | ENDIF |
|---|
| 397 | |
|---|
| 398 | IF ( effective_coll_efficiency > 1.0 .OR. & |
|---|
| 399 | effective_coll_efficiency < 0.0 ) & |
|---|
| 400 | THEN |
|---|
| 401 | WRITE( message_string, * ) 'collision_efficien' , & |
|---|
| 402 | 'cy out of range:' ,effective_coll_efficiency |
|---|
| 403 | CALL message( 'lpm_droplet_collision', 'PA0145', 2, & |
|---|
| 404 | 2, -1, 6, 1 ) |
|---|
| 405 | ENDIF |
|---|
| 406 | |
|---|
| 407 | ! |
|---|
| 408 | !-- Interpolation of ... |
|---|
| 409 | ii = particles(n)%x * ddx |
|---|
| 410 | jj = particles(n)%y * ddy |
|---|
| 411 | kk = ( particles(n)%z + 0.5 * dz ) / dz |
|---|
| 412 | |
|---|
| 413 | x = particles(n)%x - ii * dx |
|---|
| 414 | y = particles(n)%y - jj * dy |
|---|
| 415 | aa = x**2 + y**2 |
|---|
| 416 | bb = ( dx - x )**2 + y**2 |
|---|
| 417 | cc = x**2 + ( dy - y )**2 |
|---|
| 418 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 419 | gg = aa + bb + cc + dd |
|---|
| 420 | |
|---|
| 421 | ql_int_l = ( (gg-aa) * ql(kk,jj,ii) + (gg-bb) * & |
|---|
| 422 | ql(kk,jj,ii+1) & |
|---|
| 423 | + (gg-cc) * ql(kk,jj+1,ii) + ( gg-dd ) * & |
|---|
| 424 | ql(kk,jj+1,ii+1) & |
|---|
| 425 | ) / ( 3.0 * gg ) |
|---|
| 426 | |
|---|
| 427 | ql_int_u = ( (gg-aa) * ql(kk+1,jj,ii) + (gg-bb) * & |
|---|
| 428 | ql(kk+1,jj,ii+1) & |
|---|
| 429 | + (gg-cc) * ql(kk+1,jj+1,ii) + (gg-dd) * & |
|---|
| 430 | ql(kk+1,jj+1,ii+1) & |
|---|
| 431 | ) / ( 3.0 * gg ) |
|---|
| 432 | |
|---|
| 433 | ql_int = ql_int_l + ( particles(n)%z - zu(kk) ) / dz *& |
|---|
| 434 | ( ql_int_u - ql_int_l ) |
|---|
| 435 | |
|---|
| 436 | ! |
|---|
| 437 | !-- Interpolate u velocity-component |
|---|
| 438 | ii = ( particles(n)%x + 0.5 * dx ) * ddx |
|---|
| 439 | jj = particles(n)%y * ddy |
|---|
| 440 | kk = ( particles(n)%z + 0.5 * dz ) / dz ! only if eqist |
|---|
| 441 | |
|---|
| 442 | IF ( ( particles(n)%z - zu(kk) ) > (0.5*dz) ) kk = kk+1 |
|---|
| 443 | |
|---|
| 444 | x = particles(n)%x + ( 0.5 - ii ) * dx |
|---|
| 445 | y = particles(n)%y - jj * dy |
|---|
| 446 | aa = x**2 + y**2 |
|---|
| 447 | bb = ( dx - x )**2 + y**2 |
|---|
| 448 | cc = x**2 + ( dy - y )**2 |
|---|
| 449 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 450 | gg = aa + bb + cc + dd |
|---|
| 451 | |
|---|
| 452 | u_int_l = ( (gg-aa) * u(kk,jj,ii) + (gg-bb) * & |
|---|
| 453 | u(kk,jj,ii+1) & |
|---|
| 454 | + (gg-cc) * u(kk,jj+1,ii) + (gg-dd) * & |
|---|
| 455 | u(kk,jj+1,ii+1) & |
|---|
| 456 | ) / ( 3.0 * gg ) - u_gtrans |
|---|
| 457 | IF ( kk+1 == nzt+1 ) THEN |
|---|
| 458 | u_int = u_int_l |
|---|
| 459 | ELSE |
|---|
| 460 | u_int_u = ( (gg-aa) * u(kk+1,jj,ii) + (gg-bb) * & |
|---|
| 461 | u(kk+1,jj,ii+1) & |
|---|
| 462 | + (gg-cc) * u(kk+1,jj+1,ii) + (gg-dd) * & |
|---|
| 463 | u(kk+1,jj+1,ii+1) & |
|---|
| 464 | ) / ( 3.0 * gg ) - u_gtrans |
|---|
| 465 | u_int = u_int_l + ( particles(n)%z - zu(kk) ) / dz & |
|---|
| 466 | * ( u_int_u - u_int_l ) |
|---|
| 467 | ENDIF |
|---|
| 468 | |
|---|
| 469 | ! |
|---|
| 470 | !-- Same procedure for interpolation of the v velocity-com- |
|---|
| 471 | !-- ponent (adopt index k from u velocity-component) |
|---|
| 472 | ii = particles(n)%x * ddx |
|---|
| 473 | jj = ( particles(n)%y + 0.5 * dy ) * ddy |
|---|
| 474 | |
|---|
| 475 | x = particles(n)%x - ii * dx |
|---|
| 476 | y = particles(n)%y + ( 0.5 - jj ) * dy |
|---|
| 477 | aa = x**2 + y**2 |
|---|
| 478 | bb = ( dx - x )**2 + y**2 |
|---|
| 479 | cc = x**2 + ( dy - y )**2 |
|---|
| 480 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 481 | gg = aa + bb + cc + dd |
|---|
| 482 | |
|---|
| 483 | v_int_l = ( ( gg-aa ) * v(kk,jj,ii) + ( gg-bb ) * & |
|---|
| 484 | v(kk,jj,ii+1) & |
|---|
| 485 | + ( gg-cc ) * v(kk,jj+1,ii) + ( gg-dd ) * & |
|---|
| 486 | v(kk,jj+1,ii+1) & |
|---|
| 487 | ) / ( 3.0 * gg ) - v_gtrans |
|---|
| 488 | IF ( kk+1 == nzt+1 ) THEN |
|---|
| 489 | v_int = v_int_l |
|---|
| 490 | ELSE |
|---|
| 491 | v_int_u = ( (gg-aa) * v(kk+1,jj,ii) + (gg-bb) * & |
|---|
| 492 | v(kk+1,jj,ii+1) & |
|---|
| 493 | + (gg-cc) * v(kk+1,jj+1,ii) + (gg-dd) * & |
|---|
| 494 | v(kk+1,jj+1,ii+1) & |
|---|
| 495 | ) / ( 3.0 * gg ) - v_gtrans |
|---|
| 496 | v_int = v_int_l + ( particles(n)%z - zu(kk) ) / dz & |
|---|
| 497 | * ( v_int_u - v_int_l ) |
|---|
| 498 | ENDIF |
|---|
| 499 | |
|---|
| 500 | ! |
|---|
| 501 | !-- Same procedure for interpolation of the w velocity-com- |
|---|
| 502 | !-- ponent (adopt index i from v velocity-component) |
|---|
| 503 | jj = particles(n)%y * ddy |
|---|
| 504 | kk = particles(n)%z / dz |
|---|
| 505 | |
|---|
| 506 | x = particles(n)%x - ii * dx |
|---|
| 507 | y = particles(n)%y - jj * dy |
|---|
| 508 | aa = x**2 + y**2 |
|---|
| 509 | bb = ( dx - x )**2 + y**2 |
|---|
| 510 | cc = x**2 + ( dy - y )**2 |
|---|
| 511 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 512 | gg = aa + bb + cc + dd |
|---|
| 513 | |
|---|
| 514 | w_int_l = ( ( gg-aa ) * w(kk,jj,ii) + ( gg-bb ) * & |
|---|
| 515 | w(kk,jj,ii+1) & |
|---|
| 516 | + ( gg-cc ) * w(kk,jj+1,ii) + ( gg-dd ) * & |
|---|
| 517 | w(kk,jj+1,ii+1) & |
|---|
| 518 | ) / ( 3.0 * gg ) |
|---|
| 519 | IF ( kk+1 == nzt+1 ) THEN |
|---|
| 520 | w_int = w_int_l |
|---|
| 521 | ELSE |
|---|
| 522 | w_int_u = ( (gg-aa) * w(kk+1,jj,ii) + (gg-bb) * & |
|---|
| 523 | w(kk+1,jj,ii+1) & |
|---|
| 524 | + (gg-cc) * w(kk+1,jj+1,ii) + (gg-dd) * & |
|---|
| 525 | w(kk+1,jj+1,ii+1) & |
|---|
| 526 | ) / ( 3.0 * gg ) |
|---|
| 527 | w_int = w_int_l + ( particles(n)%z - zw(kk) ) / dz & |
|---|
| 528 | * ( w_int_u - w_int_l ) |
|---|
| 529 | ENDIF |
|---|
| 530 | |
|---|
| 531 | ! |
|---|
| 532 | !-- Change in radius due to collision |
|---|
| 533 | delta_r = effective_coll_efficiency / 3.0 & |
|---|
| 534 | * pi * sl_r3 * ddx * ddy / dz & |
|---|
| 535 | * SQRT( ( u_int - particles(n)%speed_x )**2 & |
|---|
| 536 | + ( v_int - particles(n)%speed_y )**2 & |
|---|
| 537 | + ( w_int - particles(n)%speed_z )**2 & |
|---|
| 538 | ) * dt_3d |
|---|
| 539 | ! |
|---|
| 540 | !-- Change in volume due to collision |
|---|
| 541 | delta_v = particles(n)%weight_factor & |
|---|
| 542 | * ( ( particles(n)%radius + delta_r )**3 & |
|---|
| 543 | - particles(n)%radius**3 ) |
|---|
| 544 | |
|---|
| 545 | ! |
|---|
| 546 | !-- Check if collected particles provide enough LWC for |
|---|
| 547 | !-- volume change of collector particle |
|---|
| 548 | IF ( delta_v >= sl_r3 .AND. sl_r3 > 0.0 ) THEN |
|---|
| 549 | |
|---|
| 550 | delta_r = ( ( sl_r3/particles(n)%weight_factor ) & |
|---|
| 551 | + particles(n)%radius**3 )**( 1./3. ) & |
|---|
| 552 | - particles(n)%radius |
|---|
| 553 | |
|---|
| 554 | DO is = n-1, psi, -1 |
|---|
| 555 | IF ( particles(is)%radius < & |
|---|
| 556 | particles(n)%radius ) THEN |
|---|
| 557 | particles(is)%weight_factor = 0.0 |
|---|
| 558 | particle_mask(is) = .FALSE. |
|---|
| 559 | deleted_particles = deleted_particles + 1 |
|---|
| 560 | ENDIF |
|---|
| 561 | ENDDO |
|---|
| 562 | |
|---|
| 563 | ELSE IF ( delta_v < sl_r3 .AND. sl_r3 > 0.0 ) THEN |
|---|
| 564 | |
|---|
| 565 | DO is = n-1, psi, -1 |
|---|
| 566 | IF ( particles(is)%radius < particles(n)%radius & |
|---|
| 567 | .AND. sl_r3 > 0.0 ) THEN |
|---|
| 568 | particles(is)%weight_factor = & |
|---|
| 569 | ( ( particles(is)%weight_factor & |
|---|
| 570 | * ( particles(is)%radius**3 ) ) & |
|---|
| 571 | - ( delta_v & |
|---|
| 572 | * particles(is)%weight_factor & |
|---|
| 573 | * ( particles(is)%radius**3 ) & |
|---|
| 574 | / sl_r3 ) ) & |
|---|
| 575 | / ( particles(is)%radius**3 ) |
|---|
| 576 | |
|---|
| 577 | IF ( particles(is)%weight_factor < 0.0 ) THEN |
|---|
| 578 | WRITE( message_string, * ) 'negative ', & |
|---|
| 579 | 'weighting factor: ', & |
|---|
| 580 | particles(is)%weight_factor |
|---|
| 581 | CALL message( 'lpm_droplet_collision', & |
|---|
| 582 | 'PA0039', & |
|---|
| 583 | 2, 2, -1, 6, 1 ) |
|---|
| 584 | ENDIF |
|---|
| 585 | ENDIF |
|---|
| 586 | ENDDO |
|---|
| 587 | |
|---|
| 588 | ENDIF |
|---|
| 589 | |
|---|
| 590 | particles(n)%radius = particles(n)%radius + delta_r |
|---|
| 591 | ql_vp(k,j,i) = ql_vp(k,j,i) + & |
|---|
| 592 | particles(n)%weight_factor * & |
|---|
| 593 | ( particles(n)%radius**3 ) |
|---|
| 594 | ENDDO |
|---|
| 595 | |
|---|
| 596 | ql_vp(k,j,i) = ql_vp(k,j,i) + particles(psi)%weight_factor & |
|---|
| 597 | * particles(psi)%radius**3 |
|---|
| 598 | |
|---|
| 599 | ENDIF ! collision kernel |
|---|
| 600 | |
|---|
| 601 | ELSE IF ( prt_count(k,j,i) == 1 ) THEN |
|---|
| 602 | |
|---|
| 603 | psi = prt_start_index(k,j,i) |
|---|
| 604 | |
|---|
| 605 | ! |
|---|
| 606 | !-- Calculate change of weighting factor due to self collision |
|---|
| 607 | IF ( ( hall_kernel .OR. wang_kernel ) .AND. & |
|---|
| 608 | use_kernel_tables ) THEN |
|---|
| 609 | |
|---|
| 610 | IF ( wang_kernel ) THEN |
|---|
| 611 | eclass = INT( diss(k,j,i) * 1.0E4 / 1000.0 * & |
|---|
| 612 | dissipation_classes ) + 1 |
|---|
| 613 | epsilon = diss(k,j,i) |
|---|
| 614 | ELSE |
|---|
| 615 | epsilon = 0.0 |
|---|
| 616 | ENDIF |
|---|
| 617 | IF ( hall_kernel .OR. epsilon * 1.0E4 < 0.001 ) THEN |
|---|
| 618 | eclass = 0 ! Hall kernel is used |
|---|
| 619 | ELSE |
|---|
| 620 | eclass = MIN( dissipation_classes, eclass ) |
|---|
| 621 | ENDIF |
|---|
| 622 | |
|---|
| 623 | ddV = ddx * ddy / dz |
|---|
| 624 | rclass_l = particles(psi)%class |
|---|
| 625 | sum3 = 1 - dt_3d * ddV * & |
|---|
| 626 | ( ckernel(rclass_l,rclass_l,eclass) * & |
|---|
| 627 | ( particles(psi)%weight_factor-1 ) * 0.5 ) |
|---|
| 628 | |
|---|
| 629 | particles(psi)%radius = ( particles(psi)%radius**3 / & |
|---|
| 630 | sum3 )**0.33333333333333 |
|---|
| 631 | particles(psi)%weight_factor = particles(psi)%weight_factor & |
|---|
| 632 | * sum3 |
|---|
| 633 | |
|---|
| 634 | ELSE IF ( ( hall_kernel .OR. wang_kernel ) .AND. & |
|---|
| 635 | .NOT. use_kernel_tables ) THEN |
|---|
| 636 | ! |
|---|
| 637 | !-- Collision efficiencies are calculated for every new |
|---|
| 638 | !-- grid box. First, allocate memory for kernel table. |
|---|
| 639 | !-- Third dimension is 1, because table is re-calculated for |
|---|
| 640 | !-- every new dissipation value. |
|---|
| 641 | ALLOCATE( ckernel(psi:psi, psi:psi, 1:1) ) |
|---|
| 642 | ! |
|---|
| 643 | !-- Now calculate collision efficiencies for this box |
|---|
| 644 | CALL recalculate_kernel( i, j, k ) |
|---|
| 645 | |
|---|
| 646 | ddV = ddx * ddy / dz |
|---|
| 647 | sum3 = 1 - dt_3d * ddV * ( ckernel(psi,psi,1) * & |
|---|
| 648 | ( particles(psi)%weight_factor - 1 ) * 0.5 ) |
|---|
| 649 | |
|---|
| 650 | particles(psi)%radius = ( particles(psi)%radius**3 / & |
|---|
| 651 | sum3 )**0.33333333333333 |
|---|
| 652 | particles(psi)%weight_factor = particles(psi)%weight_factor & |
|---|
| 653 | * sum3 |
|---|
| 654 | |
|---|
| 655 | DEALLOCATE( ckernel ) |
|---|
| 656 | ENDIF |
|---|
| 657 | |
|---|
| 658 | ql_vp(k,j,i) = particles(psi)%weight_factor * & |
|---|
| 659 | particles(psi)%radius**3 |
|---|
| 660 | ENDIF |
|---|
| 661 | |
|---|
| 662 | ! |
|---|
| 663 | !-- Check if condensation of LWC was conserved during collision |
|---|
| 664 | !-- process |
|---|
| 665 | IF ( ql_v(k,j,i) /= 0.0 ) THEN |
|---|
| 666 | IF ( ql_vp(k,j,i) / ql_v(k,j,i) >= 1.0001 .OR. & |
|---|
| 667 | ql_vp(k,j,i) / ql_v(k,j,i) <= 0.9999 ) THEN |
|---|
| 668 | WRITE( message_string, * ) 'LWC is not conserved during',& |
|---|
| 669 | ' collision! ', & |
|---|
| 670 | 'LWC after condensation: ', & |
|---|
| 671 | ql_v(k,j,i), & |
|---|
| 672 | ' LWC after collision: ', & |
|---|
| 673 | ql_vp(k,j,i) |
|---|
| 674 | CALL message( 'lpm_droplet_collision', 'PA0040', & |
|---|
| 675 | 2, 2, -1, 6, 1 ) |
|---|
| 676 | ENDIF |
|---|
| 677 | ENDIF |
|---|
| 678 | |
|---|
| 679 | ENDDO |
|---|
| 680 | ENDDO |
|---|
| 681 | ENDDO |
|---|
| 682 | |
|---|
| 683 | CALL cpu_log( log_point_s(43), 'lpm_droplet_coll', 'stop' ) |
|---|
| 684 | |
|---|
| 685 | |
|---|
| 686 | END SUBROUTINE lpm_droplet_collision |
|---|
