| 1 | SUBROUTINE lpm_droplet_collision |
|---|
| 2 | |
|---|
| 3 | !------------------------------------------------------------------------------! |
|---|
| 4 | ! Current revisions: |
|---|
| 5 | ! ------------------ |
|---|
| 6 | ! |
|---|
| 7 | ! |
|---|
| 8 | ! Former revisions: |
|---|
| 9 | ! ----------------- |
|---|
| 10 | ! $Id: lpm_droplet_collision.f90 850 2012-03-15 12:09:25Z maronga $ |
|---|
| 11 | ! |
|---|
| 12 | ! 849 2012-03-15 10:35:09Z raasch |
|---|
| 13 | ! initial revision (former part of advec_particles) |
|---|
| 14 | ! |
|---|
| 15 | ! |
|---|
| 16 | ! Description: |
|---|
| 17 | ! ------------ |
|---|
| 18 | ! Calculates chang in droplet radius by collision. Droplet collision is |
|---|
| 19 | ! calculated for each grid box seperately. Collision is parameterized by |
|---|
| 20 | ! using collision kernels. Three different kernels are available: |
|---|
| 21 | ! PALM kernel: Kernel is approximated using a method from Rogers and |
|---|
| 22 | ! Yau (1989, A Short Course in Cloud Physics, Pergamon Press). |
|---|
| 23 | ! All droplets smaller than the treated one are represented by |
|---|
| 24 | ! one droplet with mean features. Collision efficiencies are taken |
|---|
| 25 | ! from the respective table in Rogers and Yau. |
|---|
| 26 | ! Hall kernel: Kernel from Hall (1980, J. Atmos. Sci., 2486-2507), which |
|---|
| 27 | ! considers collision due to pure gravitational effects. |
|---|
| 28 | ! Wang kernel: Beside gravitational effects (treated with the Hall-kernel) also |
|---|
| 29 | ! the effects of turbulence on the collision are considered using |
|---|
| 30 | ! parameterizations of Ayala et al. (2008, New J. Phys., 10, |
|---|
| 31 | ! 075015) and Wang and Grabowski (2009, Atmos. Sci. Lett., 10, |
|---|
| 32 | ! 1-8). This kernel includes three possible effects of turbulence: |
|---|
| 33 | ! the modification of the relative velocity between the droplets, |
|---|
| 34 | ! the effect of preferential concentration, and the enhancement of |
|---|
| 35 | ! collision efficiencies. |
|---|
| 36 | !------------------------------------------------------------------------------! |
|---|
| 37 | |
|---|
| 38 | USE arrays_3d |
|---|
| 39 | USE cloud_parameters |
|---|
| 40 | USE constants |
|---|
| 41 | USE control_parameters |
|---|
| 42 | USE cpulog |
|---|
| 43 | USE grid_variables |
|---|
| 44 | USE indices |
|---|
| 45 | USE interfaces |
|---|
| 46 | USE lpm_collision_kernels_mod |
|---|
| 47 | USE particle_attributes |
|---|
| 48 | |
|---|
| 49 | IMPLICIT NONE |
|---|
| 50 | |
|---|
| 51 | INTEGER :: eclass, i, ii, inc, is, j, jj, js, k, kk, n, pse, psi, & |
|---|
| 52 | rclass_l, rclass_s |
|---|
| 53 | |
|---|
| 54 | REAL :: aa, bb, cc, dd, delta_r, delta_v, gg, epsilon, integral, lw_max, & |
|---|
| 55 | mean_r, ql_int, ql_int_l, ql_int_u, u_int, u_int_l, u_int_u, & |
|---|
| 56 | v_int, v_int_l, v_int_u, w_int, w_int_l, w_int_u, sl_r3, sl_r4, & |
|---|
| 57 | x, y |
|---|
| 58 | |
|---|
| 59 | TYPE(particle_type) :: tmp_particle |
|---|
| 60 | |
|---|
| 61 | |
|---|
| 62 | CALL cpu_log( log_point_s(43), 'lpm_droplet_coll', 'start' ) |
|---|
| 63 | |
|---|
| 64 | DO i = nxl, nxr |
|---|
| 65 | DO j = nys, nyn |
|---|
| 66 | DO k = nzb+1, nzt |
|---|
| 67 | ! |
|---|
| 68 | !-- Collision requires at least two particles in the box |
|---|
| 69 | IF ( prt_count(k,j,i) > 1 ) THEN |
|---|
| 70 | ! |
|---|
| 71 | !-- First, sort particles within the gridbox by their size, |
|---|
| 72 | !-- using Shell's method (see Numerical Recipes) |
|---|
| 73 | !-- NOTE: In case of using particle tails, the re-sorting of |
|---|
| 74 | !-- ---- tails would have to be included here! |
|---|
| 75 | psi = prt_start_index(k,j,i) - 1 |
|---|
| 76 | inc = 1 |
|---|
| 77 | DO WHILE ( inc <= prt_count(k,j,i) ) |
|---|
| 78 | inc = 3 * inc + 1 |
|---|
| 79 | ENDDO |
|---|
| 80 | |
|---|
| 81 | DO WHILE ( inc > 1 ) |
|---|
| 82 | inc = inc / 3 |
|---|
| 83 | DO is = inc+1, prt_count(k,j,i) |
|---|
| 84 | tmp_particle = particles(psi+is) |
|---|
| 85 | js = is |
|---|
| 86 | DO WHILE ( particles(psi+js-inc)%radius > & |
|---|
| 87 | tmp_particle%radius ) |
|---|
| 88 | particles(psi+js) = particles(psi+js-inc) |
|---|
| 89 | js = js - inc |
|---|
| 90 | IF ( js <= inc ) EXIT |
|---|
| 91 | ENDDO |
|---|
| 92 | particles(psi+js) = tmp_particle |
|---|
| 93 | ENDDO |
|---|
| 94 | ENDDO |
|---|
| 95 | |
|---|
| 96 | psi = prt_start_index(k,j,i) |
|---|
| 97 | pse = psi + prt_count(k,j,i)-1 |
|---|
| 98 | |
|---|
| 99 | ! |
|---|
| 100 | !-- Now apply the different kernels |
|---|
| 101 | IF ( ( hall_kernel .OR. wang_kernel ) .AND. & |
|---|
| 102 | use_kernel_tables ) THEN |
|---|
| 103 | ! |
|---|
| 104 | !-- Fast method with pre-calculated efficiencies for |
|---|
| 105 | !-- discrete radius- and dissipation-classes. |
|---|
| 106 | ! |
|---|
| 107 | !-- Determine dissipation class index of this gridbox |
|---|
| 108 | IF ( wang_kernel ) THEN |
|---|
| 109 | eclass = INT( diss(k,j,i) * 1.0E4 / 1000.0 * & |
|---|
| 110 | dissipation_classes ) + 1 |
|---|
| 111 | epsilon = diss(k,j,i) |
|---|
| 112 | ELSE |
|---|
| 113 | epsilon = 0.0 |
|---|
| 114 | ENDIF |
|---|
| 115 | IF ( hall_kernel .OR. epsilon * 1.0E4 < 0.001 ) THEN |
|---|
| 116 | eclass = 0 ! Hall kernel is used |
|---|
| 117 | ELSE |
|---|
| 118 | eclass = MIN( dissipation_classes, eclass ) |
|---|
| 119 | ENDIF |
|---|
| 120 | |
|---|
| 121 | DO n = pse, psi+1, -1 |
|---|
| 122 | |
|---|
| 123 | integral = 0.0 |
|---|
| 124 | lw_max = 0.0 |
|---|
| 125 | rclass_l = particles(n)%class |
|---|
| 126 | ! |
|---|
| 127 | !-- Calculate growth of collector particle radius using all |
|---|
| 128 | !-- droplets smaller than current droplet |
|---|
| 129 | DO is = psi, n-1 |
|---|
| 130 | |
|---|
| 131 | rclass_s = particles(is)%class |
|---|
| 132 | integral = integral + & |
|---|
| 133 | ( particles(is)%radius**3 * & |
|---|
| 134 | ckernel(rclass_l,rclass_s,eclass) * & |
|---|
| 135 | particles(is)%weight_factor ) |
|---|
| 136 | ! |
|---|
| 137 | !-- Calculate volume of liquid water of the collected |
|---|
| 138 | !-- droplets which is the maximum liquid water available |
|---|
| 139 | !-- for droplet growth |
|---|
| 140 | lw_max = lw_max + ( particles(is)%radius**3 * & |
|---|
| 141 | particles(is)%weight_factor ) |
|---|
| 142 | |
|---|
| 143 | ENDDO |
|---|
| 144 | |
|---|
| 145 | ! |
|---|
| 146 | !-- Change in radius of collector droplet due to collision |
|---|
| 147 | delta_r = 1.0 / ( 3.0 * particles(n)%radius**2 ) * & |
|---|
| 148 | integral * dt_3d * ddx * ddy / dz |
|---|
| 149 | |
|---|
| 150 | ! |
|---|
| 151 | !-- Change in volume of collector droplet due to collision |
|---|
| 152 | delta_v = particles(n)%weight_factor & |
|---|
| 153 | * ( ( particles(n)%radius + delta_r )**3 & |
|---|
| 154 | - particles(n)%radius**3 ) |
|---|
| 155 | |
|---|
| 156 | IF ( lw_max < delta_v .AND. delta_v > 0.0 ) THEN |
|---|
| 157 | !-- replace by message call |
|---|
| 158 | PRINT*, 'Particle has grown to much because the', & |
|---|
| 159 | ' change of volume of particle is larger', & |
|---|
| 160 | ' than liquid water available!' |
|---|
| 161 | |
|---|
| 162 | ELSEIF ( lw_max == delta_v .AND. delta_v > 0.0 ) THEN |
|---|
| 163 | !-- can this case really happen?? |
|---|
| 164 | DO is = psi, n-1 |
|---|
| 165 | |
|---|
| 166 | particles(is)%weight_factor = 0.0 |
|---|
| 167 | particle_mask(is) = .FALSE. |
|---|
| 168 | deleted_particles = deleted_particles + 1 |
|---|
| 169 | |
|---|
| 170 | ENDDO |
|---|
| 171 | |
|---|
| 172 | ELSEIF ( lw_max > delta_v .AND. delta_v > 0.0 ) THEN |
|---|
| 173 | ! |
|---|
| 174 | !-- Calculate new weighting factor of collected droplets |
|---|
| 175 | DO is = psi, n-1 |
|---|
| 176 | |
|---|
| 177 | rclass_s = particles(is)%class |
|---|
| 178 | particles(is)%weight_factor = & |
|---|
| 179 | particles(is)%weight_factor - & |
|---|
| 180 | ( ( ckernel(rclass_l,rclass_s,eclass) * particles(is)%weight_factor & |
|---|
| 181 | / integral ) * delta_v ) |
|---|
| 182 | |
|---|
| 183 | IF ( particles(is)%weight_factor < 0.0 ) THEN |
|---|
| 184 | WRITE( message_string, * ) 'negative ', & |
|---|
| 185 | 'weighting factor: ', & |
|---|
| 186 | particles(is)%weight_factor |
|---|
| 187 | CALL message( 'lpm_droplet_collision', '', & |
|---|
| 188 | 2, 2, -1, 6, 1 ) |
|---|
| 189 | |
|---|
| 190 | ELSEIF ( particles(is)%weight_factor == 0.0 ) & |
|---|
| 191 | THEN |
|---|
| 192 | |
|---|
| 193 | particles(is)%weight_factor = 0.0 |
|---|
| 194 | particle_mask(is) = .FALSE. |
|---|
| 195 | deleted_particles = deleted_particles + 1 |
|---|
| 196 | |
|---|
| 197 | ENDIF |
|---|
| 198 | |
|---|
| 199 | ENDDO |
|---|
| 200 | |
|---|
| 201 | ENDIF |
|---|
| 202 | |
|---|
| 203 | particles(n)%radius = particles(n)%radius + delta_r |
|---|
| 204 | ql_vp(k,j,i) = ql_vp(k,j,i) + particles(n)%weight_factor & |
|---|
| 205 | * particles(n)%radius**3 |
|---|
| 206 | |
|---|
| 207 | ENDDO |
|---|
| 208 | |
|---|
| 209 | ELSEIF ( ( hall_kernel .OR. wang_kernel ) .AND. & |
|---|
| 210 | .NOT. use_kernel_tables ) THEN |
|---|
| 211 | ! |
|---|
| 212 | !-- Collision efficiencies are calculated for every new |
|---|
| 213 | !-- grid box. First, allocate memory for kernel table. |
|---|
| 214 | !-- Third dimension is 1, because table is re-calculated for |
|---|
| 215 | !-- every new dissipation value. |
|---|
| 216 | ALLOCATE( ckernel(prt_start_index(k,j,i): & |
|---|
| 217 | prt_start_index(k,j,i)+prt_count(k,j,i)-1, & |
|---|
| 218 | prt_start_index(k,j,i): & |
|---|
| 219 | prt_start_index(k,j,i)+prt_count(k,j,i)-1,1:1) ) |
|---|
| 220 | ! |
|---|
| 221 | !-- Now calculate collision efficiencies for this box |
|---|
| 222 | CALL recalculate_kernel( i, j, k ) |
|---|
| 223 | |
|---|
| 224 | DO n = pse, psi+1, -1 |
|---|
| 225 | |
|---|
| 226 | integral = 0.0 |
|---|
| 227 | lw_max = 0.0 |
|---|
| 228 | ! |
|---|
| 229 | !-- Calculate growth of collector particle radius using all |
|---|
| 230 | !-- droplets smaller than current droplet |
|---|
| 231 | DO is = psi, n-1 |
|---|
| 232 | |
|---|
| 233 | integral = integral + particles(is)%radius**3 * & |
|---|
| 234 | ckernel(n,is,1) * & |
|---|
| 235 | particles(is)%weight_factor |
|---|
| 236 | ! |
|---|
| 237 | !-- Calculate volume of liquid water of the collected |
|---|
| 238 | !-- droplets which is the maximum liquid water available |
|---|
| 239 | !-- for droplet growth |
|---|
| 240 | lw_max = lw_max + ( particles(is)%radius**3 * & |
|---|
| 241 | particles(is)%weight_factor ) |
|---|
| 242 | |
|---|
| 243 | ENDDO |
|---|
| 244 | |
|---|
| 245 | ! |
|---|
| 246 | !-- Change in radius of collector droplet due to collision |
|---|
| 247 | delta_r = 1.0 / ( 3.0 * particles(n)%radius**2 ) * & |
|---|
| 248 | integral * dt_3d * ddx * ddy / dz |
|---|
| 249 | |
|---|
| 250 | ! |
|---|
| 251 | !-- Change in volume of collector droplet due to collision |
|---|
| 252 | delta_v = particles(n)%weight_factor & |
|---|
| 253 | * ( ( particles(n)%radius + delta_r )**3 & |
|---|
| 254 | - particles(n)%radius**3 ) |
|---|
| 255 | |
|---|
| 256 | IF ( lw_max < delta_v .AND. delta_v > 0.0 ) THEN |
|---|
| 257 | !-- replace by message call |
|---|
| 258 | PRINT*, 'Particle has grown to much because the', & |
|---|
| 259 | ' change of volume of particle is larger', & |
|---|
| 260 | ' than liquid water available!' |
|---|
| 261 | |
|---|
| 262 | ELSEIF ( lw_max == delta_v .AND. delta_v > 0.0 ) THEN |
|---|
| 263 | !-- can this case really happen?? |
|---|
| 264 | DO is = psi, n-1 |
|---|
| 265 | |
|---|
| 266 | particles(is)%weight_factor = 0.0 |
|---|
| 267 | particle_mask(is) = .FALSE. |
|---|
| 268 | deleted_particles = deleted_particles + 1 |
|---|
| 269 | |
|---|
| 270 | ENDDO |
|---|
| 271 | |
|---|
| 272 | ELSEIF ( lw_max > delta_v .AND. delta_v > 0.0 ) THEN |
|---|
| 273 | ! |
|---|
| 274 | !-- Calculate new weighting factor of collected droplets |
|---|
| 275 | DO is = psi, n-1 |
|---|
| 276 | |
|---|
| 277 | particles(is)%weight_factor = & |
|---|
| 278 | particles(is)%weight_factor - & |
|---|
| 279 | ( ckernel(n,is,1) / integral * delta_v * & |
|---|
| 280 | particles(is)%weight_factor ) |
|---|
| 281 | |
|---|
| 282 | IF ( particles(is)%weight_factor < 0.0 ) THEN |
|---|
| 283 | WRITE( message_string, * ) 'negative ', & |
|---|
| 284 | 'weighting factor: ', & |
|---|
| 285 | particles(is)%weight_factor |
|---|
| 286 | CALL message( 'lpm_droplet_collision', '', & |
|---|
| 287 | 2, 2, -1, 6, 1 ) |
|---|
| 288 | |
|---|
| 289 | ELSEIF ( particles(is)%weight_factor == 0.0 ) & |
|---|
| 290 | THEN |
|---|
| 291 | |
|---|
| 292 | particles(is)%weight_factor = 0.0 |
|---|
| 293 | particle_mask(is) = .FALSE. |
|---|
| 294 | deleted_particles = deleted_particles + 1 |
|---|
| 295 | |
|---|
| 296 | ENDIF |
|---|
| 297 | |
|---|
| 298 | ENDDO |
|---|
| 299 | |
|---|
| 300 | ENDIF |
|---|
| 301 | |
|---|
| 302 | particles(n)%radius = particles(n)%radius + delta_r |
|---|
| 303 | ql_vp(k,j,i) = ql_vp(k,j,i) + particles(n)%weight_factor & |
|---|
| 304 | * particles(n)%radius**3 |
|---|
| 305 | |
|---|
| 306 | ENDDO |
|---|
| 307 | |
|---|
| 308 | DEALLOCATE( ckernel ) |
|---|
| 309 | |
|---|
| 310 | ELSEIF ( palm_kernel ) THEN |
|---|
| 311 | ! |
|---|
| 312 | !-- PALM collision kernel |
|---|
| 313 | ! |
|---|
| 314 | !-- Calculate the mean radius of all those particles which |
|---|
| 315 | !-- are of smaller size than the current particle and |
|---|
| 316 | !-- use this radius for calculating the collision efficiency |
|---|
| 317 | DO n = psi+prt_count(k,j,i)-1, psi+1, -1 |
|---|
| 318 | |
|---|
| 319 | sl_r3 = 0.0 |
|---|
| 320 | sl_r4 = 0.0 |
|---|
| 321 | |
|---|
| 322 | DO is = n-1, psi, -1 |
|---|
| 323 | IF ( particles(is)%radius < particles(n)%radius ) & |
|---|
| 324 | THEN |
|---|
| 325 | sl_r3 = sl_r3 + particles(is)%weight_factor & |
|---|
| 326 | * particles(is)%radius**3 |
|---|
| 327 | sl_r4 = sl_r4 + particles(is)%weight_factor & |
|---|
| 328 | * particles(is)%radius**4 |
|---|
| 329 | ENDIF |
|---|
| 330 | ENDDO |
|---|
| 331 | |
|---|
| 332 | IF ( ( sl_r3 ) > 0.0 ) THEN |
|---|
| 333 | mean_r = ( sl_r4 ) / ( sl_r3 ) |
|---|
| 334 | |
|---|
| 335 | CALL collision_efficiency_rogers( mean_r, & |
|---|
| 336 | particles(n)%radius, & |
|---|
| 337 | effective_coll_efficiency ) |
|---|
| 338 | |
|---|
| 339 | ELSE |
|---|
| 340 | effective_coll_efficiency = 0.0 |
|---|
| 341 | ENDIF |
|---|
| 342 | |
|---|
| 343 | IF ( effective_coll_efficiency > 1.0 .OR. & |
|---|
| 344 | effective_coll_efficiency < 0.0 ) & |
|---|
| 345 | THEN |
|---|
| 346 | WRITE( message_string, * ) 'collision_efficien' , & |
|---|
| 347 | 'cy out of range:' ,effective_coll_efficiency |
|---|
| 348 | CALL message( 'lpm_droplet_collision', 'PA0145', 2, & |
|---|
| 349 | 2, -1, 6, 1 ) |
|---|
| 350 | ENDIF |
|---|
| 351 | |
|---|
| 352 | ! |
|---|
| 353 | !-- Interpolation of ... |
|---|
| 354 | ii = particles(n)%x * ddx |
|---|
| 355 | jj = particles(n)%y * ddy |
|---|
| 356 | kk = ( particles(n)%z + 0.5 * dz ) / dz |
|---|
| 357 | |
|---|
| 358 | x = particles(n)%x - ii * dx |
|---|
| 359 | y = particles(n)%y - jj * dy |
|---|
| 360 | aa = x**2 + y**2 |
|---|
| 361 | bb = ( dx - x )**2 + y**2 |
|---|
| 362 | cc = x**2 + ( dy - y )**2 |
|---|
| 363 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 364 | gg = aa + bb + cc + dd |
|---|
| 365 | |
|---|
| 366 | ql_int_l = ( (gg-aa) * ql(kk,jj,ii) + (gg-bb) * & |
|---|
| 367 | ql(kk,jj,ii+1) & |
|---|
| 368 | + (gg-cc) * ql(kk,jj+1,ii) + ( gg-dd ) * & |
|---|
| 369 | ql(kk,jj+1,ii+1) & |
|---|
| 370 | ) / ( 3.0 * gg ) |
|---|
| 371 | |
|---|
| 372 | ql_int_u = ( (gg-aa) * ql(kk+1,jj,ii) + (gg-bb) * & |
|---|
| 373 | ql(kk+1,jj,ii+1) & |
|---|
| 374 | + (gg-cc) * ql(kk+1,jj+1,ii) + (gg-dd) * & |
|---|
| 375 | ql(kk+1,jj+1,ii+1) & |
|---|
| 376 | ) / ( 3.0 * gg ) |
|---|
| 377 | |
|---|
| 378 | ql_int = ql_int_l + ( particles(n)%z - zu(kk) ) / dz *& |
|---|
| 379 | ( ql_int_u - ql_int_l ) |
|---|
| 380 | |
|---|
| 381 | ! |
|---|
| 382 | !-- Interpolate u velocity-component |
|---|
| 383 | ii = ( particles(n)%x + 0.5 * dx ) * ddx |
|---|
| 384 | jj = particles(n)%y * ddy |
|---|
| 385 | kk = ( particles(n)%z + 0.5 * dz ) / dz ! only if eqist |
|---|
| 386 | |
|---|
| 387 | IF ( ( particles(n)%z - zu(kk) ) > (0.5*dz) ) kk = kk+1 |
|---|
| 388 | |
|---|
| 389 | x = particles(n)%x + ( 0.5 - ii ) * dx |
|---|
| 390 | y = particles(n)%y - jj * dy |
|---|
| 391 | aa = x**2 + y**2 |
|---|
| 392 | bb = ( dx - x )**2 + y**2 |
|---|
| 393 | cc = x**2 + ( dy - y )**2 |
|---|
| 394 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 395 | gg = aa + bb + cc + dd |
|---|
| 396 | |
|---|
| 397 | u_int_l = ( (gg-aa) * u(kk,jj,ii) + (gg-bb) * & |
|---|
| 398 | u(kk,jj,ii+1) & |
|---|
| 399 | + (gg-cc) * u(kk,jj+1,ii) + (gg-dd) * & |
|---|
| 400 | u(kk,jj+1,ii+1) & |
|---|
| 401 | ) / ( 3.0 * gg ) - u_gtrans |
|---|
| 402 | IF ( kk+1 == nzt+1 ) THEN |
|---|
| 403 | u_int = u_int_l |
|---|
| 404 | ELSE |
|---|
| 405 | u_int_u = ( (gg-aa) * u(kk+1,jj,ii) + (gg-bb) * & |
|---|
| 406 | u(kk+1,jj,ii+1) & |
|---|
| 407 | + (gg-cc) * u(kk+1,jj+1,ii) + (gg-dd) * & |
|---|
| 408 | u(kk+1,jj+1,ii+1) & |
|---|
| 409 | ) / ( 3.0 * gg ) - u_gtrans |
|---|
| 410 | u_int = u_int_l + ( particles(n)%z - zu(kk) ) / dz & |
|---|
| 411 | * ( u_int_u - u_int_l ) |
|---|
| 412 | ENDIF |
|---|
| 413 | |
|---|
| 414 | ! |
|---|
| 415 | !-- Same procedure for interpolation of the v velocity-com- |
|---|
| 416 | !-- ponent (adopt index k from u velocity-component) |
|---|
| 417 | ii = particles(n)%x * ddx |
|---|
| 418 | jj = ( particles(n)%y + 0.5 * dy ) * ddy |
|---|
| 419 | |
|---|
| 420 | x = particles(n)%x - ii * dx |
|---|
| 421 | y = particles(n)%y + ( 0.5 - jj ) * dy |
|---|
| 422 | aa = x**2 + y**2 |
|---|
| 423 | bb = ( dx - x )**2 + y**2 |
|---|
| 424 | cc = x**2 + ( dy - y )**2 |
|---|
| 425 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 426 | gg = aa + bb + cc + dd |
|---|
| 427 | |
|---|
| 428 | v_int_l = ( ( gg-aa ) * v(kk,jj,ii) + ( gg-bb ) * & |
|---|
| 429 | v(kk,jj,ii+1) & |
|---|
| 430 | + ( gg-cc ) * v(kk,jj+1,ii) + ( gg-dd ) * & |
|---|
| 431 | v(kk,jj+1,ii+1) & |
|---|
| 432 | ) / ( 3.0 * gg ) - v_gtrans |
|---|
| 433 | IF ( kk+1 == nzt+1 ) THEN |
|---|
| 434 | v_int = v_int_l |
|---|
| 435 | ELSE |
|---|
| 436 | v_int_u = ( (gg-aa) * v(kk+1,jj,ii) + (gg-bb) * & |
|---|
| 437 | v(kk+1,jj,ii+1) & |
|---|
| 438 | + (gg-cc) * v(kk+1,jj+1,ii) + (gg-dd) * & |
|---|
| 439 | v(kk+1,jj+1,ii+1) & |
|---|
| 440 | ) / ( 3.0 * gg ) - v_gtrans |
|---|
| 441 | v_int = v_int_l + ( particles(n)%z - zu(kk) ) / dz & |
|---|
| 442 | * ( v_int_u - v_int_l ) |
|---|
| 443 | ENDIF |
|---|
| 444 | |
|---|
| 445 | ! |
|---|
| 446 | !-- Same procedure for interpolation of the w velocity-com- |
|---|
| 447 | !-- ponent (adopt index i from v velocity-component) |
|---|
| 448 | jj = particles(n)%y * ddy |
|---|
| 449 | kk = particles(n)%z / dz |
|---|
| 450 | |
|---|
| 451 | x = particles(n)%x - ii * dx |
|---|
| 452 | y = particles(n)%y - jj * dy |
|---|
| 453 | aa = x**2 + y**2 |
|---|
| 454 | bb = ( dx - x )**2 + y**2 |
|---|
| 455 | cc = x**2 + ( dy - y )**2 |
|---|
| 456 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 457 | gg = aa + bb + cc + dd |
|---|
| 458 | |
|---|
| 459 | w_int_l = ( ( gg-aa ) * w(kk,jj,ii) + ( gg-bb ) * & |
|---|
| 460 | w(kk,jj,ii+1) & |
|---|
| 461 | + ( gg-cc ) * w(kk,jj+1,ii) + ( gg-dd ) * & |
|---|
| 462 | w(kk,jj+1,ii+1) & |
|---|
| 463 | ) / ( 3.0 * gg ) |
|---|
| 464 | IF ( kk+1 == nzt+1 ) THEN |
|---|
| 465 | w_int = w_int_l |
|---|
| 466 | ELSE |
|---|
| 467 | w_int_u = ( (gg-aa) * w(kk+1,jj,ii) + (gg-bb) * & |
|---|
| 468 | w(kk+1,jj,ii+1) & |
|---|
| 469 | + (gg-cc) * w(kk+1,jj+1,ii) + (gg-dd) * & |
|---|
| 470 | w(kk+1,jj+1,ii+1) & |
|---|
| 471 | ) / ( 3.0 * gg ) |
|---|
| 472 | w_int = w_int_l + ( particles(n)%z - zw(kk) ) / dz & |
|---|
| 473 | * ( w_int_u - w_int_l ) |
|---|
| 474 | ENDIF |
|---|
| 475 | |
|---|
| 476 | ! |
|---|
| 477 | !-- Change in radius due to collision |
|---|
| 478 | delta_r = effective_coll_efficiency / 3.0 & |
|---|
| 479 | * pi * sl_r3 * ddx * ddy / dz & |
|---|
| 480 | * SQRT( ( u_int - particles(n)%speed_x )**2 & |
|---|
| 481 | + ( v_int - particles(n)%speed_y )**2 & |
|---|
| 482 | + ( w_int - particles(n)%speed_z )**2 & |
|---|
| 483 | ) * dt_3d |
|---|
| 484 | ! |
|---|
| 485 | !-- Change in volume due to collision |
|---|
| 486 | delta_v = particles(n)%weight_factor & |
|---|
| 487 | * ( ( particles(n)%radius + delta_r )**3 & |
|---|
| 488 | - particles(n)%radius**3 ) |
|---|
| 489 | |
|---|
| 490 | ! |
|---|
| 491 | !-- Check if collected particles provide enough LWC for |
|---|
| 492 | !-- volume change of collector particle |
|---|
| 493 | IF ( delta_v >= sl_r3 .AND. sl_r3 > 0.0 ) THEN |
|---|
| 494 | |
|---|
| 495 | delta_r = ( ( sl_r3/particles(n)%weight_factor ) & |
|---|
| 496 | + particles(n)%radius**3 )**( 1./3. ) & |
|---|
| 497 | - particles(n)%radius |
|---|
| 498 | |
|---|
| 499 | DO is = n-1, psi, -1 |
|---|
| 500 | IF ( particles(is)%radius < & |
|---|
| 501 | particles(n)%radius ) THEN |
|---|
| 502 | particles(is)%weight_factor = 0.0 |
|---|
| 503 | particle_mask(is) = .FALSE. |
|---|
| 504 | deleted_particles = deleted_particles + 1 |
|---|
| 505 | ENDIF |
|---|
| 506 | ENDDO |
|---|
| 507 | |
|---|
| 508 | ELSE IF ( delta_v < sl_r3 .AND. sl_r3 > 0.0 ) THEN |
|---|
| 509 | |
|---|
| 510 | DO is = n-1, psi, -1 |
|---|
| 511 | IF ( particles(is)%radius < particles(n)%radius & |
|---|
| 512 | .AND. sl_r3 > 0.0 ) THEN |
|---|
| 513 | particles(is)%weight_factor = & |
|---|
| 514 | ( ( particles(is)%weight_factor & |
|---|
| 515 | * ( particles(is)%radius**3 ) ) & |
|---|
| 516 | - ( delta_v & |
|---|
| 517 | * particles(is)%weight_factor & |
|---|
| 518 | * ( particles(is)%radius**3 ) & |
|---|
| 519 | / sl_r3 ) ) & |
|---|
| 520 | / ( particles(is)%radius**3 ) |
|---|
| 521 | |
|---|
| 522 | IF ( particles(is)%weight_factor < 0.0 ) THEN |
|---|
| 523 | WRITE( message_string, * ) 'negative ', & |
|---|
| 524 | 'weighting factor: ', & |
|---|
| 525 | particles(is)%weight_factor |
|---|
| 526 | CALL message( 'lpm_droplet_collision', '', & |
|---|
| 527 | 2, 2, -1, 6, 1 ) |
|---|
| 528 | ENDIF |
|---|
| 529 | ENDIF |
|---|
| 530 | ENDDO |
|---|
| 531 | |
|---|
| 532 | ENDIF |
|---|
| 533 | |
|---|
| 534 | particles(n)%radius = particles(n)%radius + delta_r |
|---|
| 535 | ql_vp(k,j,i) = ql_vp(k,j,i) + & |
|---|
| 536 | particles(n)%weight_factor * & |
|---|
| 537 | ( particles(n)%radius**3 ) |
|---|
| 538 | ENDDO |
|---|
| 539 | |
|---|
| 540 | ENDIF ! collision kernel |
|---|
| 541 | |
|---|
| 542 | ql_vp(k,j,i) = ql_vp(k,j,i) + particles(psi)%weight_factor & |
|---|
| 543 | * particles(psi)%radius**3 |
|---|
| 544 | |
|---|
| 545 | |
|---|
| 546 | ELSE IF ( prt_count(k,j,i) == 1 ) THEN |
|---|
| 547 | |
|---|
| 548 | psi = prt_start_index(k,j,i) |
|---|
| 549 | ql_vp(k,j,i) = particles(psi)%weight_factor * & |
|---|
| 550 | particles(psi)%radius**3 |
|---|
| 551 | ENDIF |
|---|
| 552 | |
|---|
| 553 | ! |
|---|
| 554 | !-- Check if condensation of LWC was conserved during collision |
|---|
| 555 | !-- process |
|---|
| 556 | IF ( ql_v(k,j,i) /= 0.0 ) THEN |
|---|
| 557 | IF ( ql_vp(k,j,i) / ql_v(k,j,i) >= 1.0001 .OR. & |
|---|
| 558 | ql_vp(k,j,i) / ql_v(k,j,i) <= 0.9999 ) THEN |
|---|
| 559 | WRITE( message_string, * ) 'LWC is not conserved during',& |
|---|
| 560 | ' collision! ', & |
|---|
| 561 | 'LWC after condensation: ', & |
|---|
| 562 | ql_v(k,j,i), & |
|---|
| 563 | ' LWC after collision: ', & |
|---|
| 564 | ql_vp(k,j,i) |
|---|
| 565 | CALL message( 'lpm_droplet_collision', '', 2, 2, -1, 6, 1 ) |
|---|
| 566 | ENDIF |
|---|
| 567 | ENDIF |
|---|
| 568 | |
|---|
| 569 | ENDDO |
|---|
| 570 | ENDDO |
|---|
| 571 | ENDDO |
|---|
| 572 | |
|---|
| 573 | CALL cpu_log( log_point_s(43), 'lpm_droplet_coll', 'stop' ) |
|---|
| 574 | |
|---|
| 575 | |
|---|
| 576 | END SUBROUTINE lpm_droplet_collision |
|---|
