[1000] | 1 | MODULE microphysics_mod |
---|
| 2 | |
---|
[1093] | 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 1997-2012 Leibniz University Hannover |
---|
| 18 | !--------------------------------------------------------------------------------! |
---|
| 19 | ! |
---|
[1000] | 20 | ! Current revisions: |
---|
[1092] | 21 | ! ------------------ |
---|
[1115] | 22 | ! microphyical tendencies are calculated in microphysics_control in an optimized |
---|
| 23 | ! way; unrealistic values are prevented; bugfix in evaporation; some reformatting |
---|
[1000] | 24 | ! |
---|
| 25 | ! Former revisions: |
---|
| 26 | ! ----------------- |
---|
[1052] | 27 | ! $Id: microphysics.f90 1115 2013-03-26 18:16:16Z hoffmann $ |
---|
[1054] | 28 | ! |
---|
[1107] | 29 | ! 1106 2013-03-04 05:31:38Z raasch |
---|
| 30 | ! small changes in code formatting |
---|
| 31 | ! |
---|
[1093] | 32 | ! 1092 2013-02-02 11:24:22Z raasch |
---|
| 33 | ! unused variables removed |
---|
| 34 | ! file put under GPL |
---|
| 35 | ! |
---|
[1066] | 36 | ! 1065 2012-11-22 17:42:36Z hoffmann |
---|
| 37 | ! Sedimentation process implemented according to Stevens and Seifert (2008). |
---|
[1115] | 38 | ! Turbulence effects on autoconversion and accretion added (Seifert, Nuijens |
---|
[1066] | 39 | ! and Stevens, 2010). |
---|
| 40 | ! |
---|
[1054] | 41 | ! 1053 2012-11-13 17:11:03Z hoffmann |
---|
| 42 | ! initial revision |
---|
[1000] | 43 | ! |
---|
| 44 | ! Description: |
---|
| 45 | ! ------------ |
---|
| 46 | ! Calculate cloud microphysics according to the two moment bulk |
---|
| 47 | ! scheme by Seifert and Beheng (2006). |
---|
| 48 | !------------------------------------------------------------------------------! |
---|
| 49 | |
---|
| 50 | PRIVATE |
---|
[1115] | 51 | PUBLIC microphysics_control |
---|
[1000] | 52 | |
---|
[1115] | 53 | INTERFACE microphysics_control |
---|
| 54 | MODULE PROCEDURE microphysics_control |
---|
| 55 | MODULE PROCEDURE microphysics_control_ij |
---|
| 56 | END INTERFACE microphysics_control |
---|
[1022] | 57 | |
---|
[1115] | 58 | INTERFACE adjust_cloud |
---|
| 59 | MODULE PROCEDURE adjust_cloud |
---|
| 60 | MODULE PROCEDURE adjust_cloud_ij |
---|
| 61 | END INTERFACE adjust_cloud |
---|
| 62 | |
---|
[1000] | 63 | INTERFACE autoconversion |
---|
| 64 | MODULE PROCEDURE autoconversion |
---|
| 65 | MODULE PROCEDURE autoconversion_ij |
---|
| 66 | END INTERFACE autoconversion |
---|
| 67 | |
---|
| 68 | INTERFACE accretion |
---|
| 69 | MODULE PROCEDURE accretion |
---|
| 70 | MODULE PROCEDURE accretion_ij |
---|
| 71 | END INTERFACE accretion |
---|
[1005] | 72 | |
---|
| 73 | INTERFACE selfcollection_breakup |
---|
| 74 | MODULE PROCEDURE selfcollection_breakup |
---|
| 75 | MODULE PROCEDURE selfcollection_breakup_ij |
---|
| 76 | END INTERFACE selfcollection_breakup |
---|
[1012] | 77 | |
---|
| 78 | INTERFACE evaporation_rain |
---|
| 79 | MODULE PROCEDURE evaporation_rain |
---|
| 80 | MODULE PROCEDURE evaporation_rain_ij |
---|
| 81 | END INTERFACE evaporation_rain |
---|
| 82 | |
---|
| 83 | INTERFACE sedimentation_cloud |
---|
| 84 | MODULE PROCEDURE sedimentation_cloud |
---|
| 85 | MODULE PROCEDURE sedimentation_cloud_ij |
---|
| 86 | END INTERFACE sedimentation_cloud |
---|
[1000] | 87 | |
---|
[1012] | 88 | INTERFACE sedimentation_rain |
---|
| 89 | MODULE PROCEDURE sedimentation_rain |
---|
| 90 | MODULE PROCEDURE sedimentation_rain_ij |
---|
| 91 | END INTERFACE sedimentation_rain |
---|
| 92 | |
---|
[1000] | 93 | CONTAINS |
---|
| 94 | |
---|
| 95 | |
---|
| 96 | !------------------------------------------------------------------------------! |
---|
| 97 | ! Call for all grid points |
---|
| 98 | !------------------------------------------------------------------------------! |
---|
[1115] | 99 | SUBROUTINE microphysics_control |
---|
[1022] | 100 | |
---|
| 101 | USE arrays_3d |
---|
[1115] | 102 | USE control_parameters |
---|
| 103 | USE indices |
---|
| 104 | USE statistics |
---|
| 105 | |
---|
| 106 | IMPLICIT NONE |
---|
| 107 | |
---|
| 108 | INTEGER :: i, j, k |
---|
| 109 | |
---|
| 110 | |
---|
| 111 | DO i = nxl, nxr |
---|
| 112 | DO j = nys, nyn |
---|
| 113 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 114 | |
---|
| 115 | ENDDO |
---|
| 116 | ENDDO |
---|
| 117 | ENDDO |
---|
| 118 | |
---|
| 119 | END SUBROUTINE microphysics_control |
---|
| 120 | |
---|
| 121 | SUBROUTINE adjust_cloud |
---|
| 122 | |
---|
| 123 | USE arrays_3d |
---|
[1022] | 124 | USE cloud_parameters |
---|
| 125 | USE indices |
---|
| 126 | |
---|
| 127 | IMPLICIT NONE |
---|
| 128 | |
---|
| 129 | INTEGER :: i, j, k |
---|
| 130 | |
---|
| 131 | |
---|
| 132 | DO i = nxl, nxr |
---|
| 133 | DO j = nys, nyn |
---|
[1115] | 134 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1022] | 135 | |
---|
| 136 | ENDDO |
---|
| 137 | ENDDO |
---|
| 138 | ENDDO |
---|
| 139 | |
---|
[1115] | 140 | END SUBROUTINE adjust_cloud |
---|
[1022] | 141 | |
---|
[1106] | 142 | |
---|
[1000] | 143 | SUBROUTINE autoconversion |
---|
| 144 | |
---|
| 145 | USE arrays_3d |
---|
| 146 | USE cloud_parameters |
---|
[1115] | 147 | USE control_parameters |
---|
| 148 | USE grid_variables |
---|
[1000] | 149 | USE indices |
---|
| 150 | |
---|
| 151 | IMPLICIT NONE |
---|
| 152 | |
---|
| 153 | INTEGER :: i, j, k |
---|
| 154 | |
---|
| 155 | |
---|
| 156 | DO i = nxl, nxr |
---|
| 157 | DO j = nys, nyn |
---|
[1115] | 158 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1000] | 159 | |
---|
| 160 | ENDDO |
---|
| 161 | ENDDO |
---|
| 162 | ENDDO |
---|
| 163 | |
---|
| 164 | END SUBROUTINE autoconversion |
---|
| 165 | |
---|
[1106] | 166 | |
---|
[1005] | 167 | SUBROUTINE accretion |
---|
[1000] | 168 | |
---|
| 169 | USE arrays_3d |
---|
| 170 | USE cloud_parameters |
---|
[1115] | 171 | USE control_parameters |
---|
[1000] | 172 | USE indices |
---|
[1005] | 173 | |
---|
[1000] | 174 | IMPLICIT NONE |
---|
| 175 | |
---|
| 176 | INTEGER :: i, j, k |
---|
| 177 | |
---|
[1005] | 178 | |
---|
| 179 | DO i = nxl, nxr |
---|
| 180 | DO j = nys, nyn |
---|
[1115] | 181 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1000] | 182 | |
---|
[1005] | 183 | ENDDO |
---|
| 184 | ENDDO |
---|
[1000] | 185 | ENDDO |
---|
| 186 | |
---|
[1005] | 187 | END SUBROUTINE accretion |
---|
[1000] | 188 | |
---|
[1106] | 189 | |
---|
[1005] | 190 | SUBROUTINE selfcollection_breakup |
---|
[1000] | 191 | |
---|
| 192 | USE arrays_3d |
---|
| 193 | USE cloud_parameters |
---|
[1115] | 194 | USE control_parameters |
---|
[1000] | 195 | USE indices |
---|
| 196 | |
---|
| 197 | IMPLICIT NONE |
---|
| 198 | |
---|
| 199 | INTEGER :: i, j, k |
---|
| 200 | |
---|
| 201 | |
---|
| 202 | DO i = nxl, nxr |
---|
| 203 | DO j = nys, nyn |
---|
[1115] | 204 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1000] | 205 | |
---|
| 206 | ENDDO |
---|
| 207 | ENDDO |
---|
| 208 | ENDDO |
---|
| 209 | |
---|
[1005] | 210 | END SUBROUTINE selfcollection_breakup |
---|
[1000] | 211 | |
---|
[1106] | 212 | |
---|
[1012] | 213 | SUBROUTINE evaporation_rain |
---|
[1000] | 214 | |
---|
[1012] | 215 | USE arrays_3d |
---|
| 216 | USE cloud_parameters |
---|
| 217 | USE constants |
---|
[1115] | 218 | USE control_parameters |
---|
[1012] | 219 | USE indices |
---|
| 220 | |
---|
| 221 | IMPLICIT NONE |
---|
| 222 | |
---|
| 223 | INTEGER :: i, j, k |
---|
| 224 | |
---|
| 225 | |
---|
| 226 | DO i = nxl, nxr |
---|
| 227 | DO j = nys, nyn |
---|
[1115] | 228 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1012] | 229 | |
---|
| 230 | ENDDO |
---|
| 231 | ENDDO |
---|
| 232 | ENDDO |
---|
| 233 | |
---|
| 234 | END SUBROUTINE evaporation_rain |
---|
| 235 | |
---|
[1106] | 236 | |
---|
[1012] | 237 | SUBROUTINE sedimentation_cloud |
---|
| 238 | |
---|
| 239 | USE arrays_3d |
---|
| 240 | USE cloud_parameters |
---|
| 241 | USE constants |
---|
[1115] | 242 | USE control_parameters |
---|
[1012] | 243 | USE indices |
---|
| 244 | |
---|
| 245 | IMPLICIT NONE |
---|
| 246 | |
---|
| 247 | INTEGER :: i, j, k |
---|
| 248 | |
---|
| 249 | |
---|
| 250 | DO i = nxl, nxr |
---|
| 251 | DO j = nys, nyn |
---|
[1115] | 252 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1012] | 253 | |
---|
| 254 | ENDDO |
---|
| 255 | ENDDO |
---|
| 256 | ENDDO |
---|
| 257 | |
---|
| 258 | END SUBROUTINE sedimentation_cloud |
---|
| 259 | |
---|
[1106] | 260 | |
---|
[1012] | 261 | SUBROUTINE sedimentation_rain |
---|
| 262 | |
---|
| 263 | USE arrays_3d |
---|
| 264 | USE cloud_parameters |
---|
| 265 | USE constants |
---|
[1115] | 266 | USE control_parameters |
---|
[1012] | 267 | USE indices |
---|
[1115] | 268 | USE statistics |
---|
[1012] | 269 | |
---|
| 270 | IMPLICIT NONE |
---|
| 271 | |
---|
| 272 | INTEGER :: i, j, k |
---|
| 273 | |
---|
| 274 | |
---|
| 275 | DO i = nxl, nxr |
---|
| 276 | DO j = nys, nyn |
---|
[1115] | 277 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1012] | 278 | |
---|
| 279 | ENDDO |
---|
| 280 | ENDDO |
---|
| 281 | ENDDO |
---|
| 282 | |
---|
| 283 | END SUBROUTINE sedimentation_rain |
---|
| 284 | |
---|
| 285 | |
---|
[1000] | 286 | !------------------------------------------------------------------------------! |
---|
| 287 | ! Call for grid point i,j |
---|
| 288 | !------------------------------------------------------------------------------! |
---|
[1022] | 289 | |
---|
[1115] | 290 | SUBROUTINE microphysics_control_ij( i, j ) |
---|
| 291 | |
---|
[1022] | 292 | USE arrays_3d |
---|
| 293 | USE cloud_parameters |
---|
| 294 | USE control_parameters |
---|
[1115] | 295 | USE statistics |
---|
| 296 | |
---|
[1022] | 297 | IMPLICIT NONE |
---|
| 298 | |
---|
[1115] | 299 | INTEGER :: i, j |
---|
| 300 | |
---|
| 301 | dt_micro = dt_3d * weight_pres(intermediate_timestep_count) |
---|
| 302 | ! |
---|
| 303 | !-- Adjust unrealistic values |
---|
| 304 | IF ( precipitation ) CALL adjust_cloud( i,j ) |
---|
| 305 | ! |
---|
| 306 | !-- Use 1-d arrays |
---|
| 307 | q_1d(:) = q(:,j,i) |
---|
| 308 | pt_1d(:) = pt(:,j,i) |
---|
| 309 | qc_1d(:) = qc(:,j,i) |
---|
| 310 | nc_1d(:) = nc_const |
---|
| 311 | IF ( precipitation ) THEN |
---|
| 312 | qr_1d(:) = qr(:,j,i) |
---|
| 313 | nr_1d(:) = nr(:,j,i) |
---|
| 314 | ENDIF |
---|
| 315 | ! |
---|
| 316 | !-- Compute cloud physics |
---|
| 317 | IF ( precipitation ) THEN |
---|
| 318 | CALL autoconversion( i,j ) |
---|
| 319 | CALL accretion( i,j ) |
---|
| 320 | CALL selfcollection_breakup( i,j ) |
---|
| 321 | CALL evaporation_rain( i,j ) |
---|
| 322 | CALL sedimentation_rain( i,j ) |
---|
| 323 | ENDIF |
---|
| 324 | |
---|
| 325 | IF ( drizzle ) CALL sedimentation_cloud( i,j ) |
---|
| 326 | ! |
---|
| 327 | !-- Derive tendencies |
---|
| 328 | tend_q(:,j,i) = ( q_1d(:) - q(:,j,i) ) / dt_micro |
---|
| 329 | tend_pt(:,j,i) = ( pt_1d(:) - pt(:,j,i) ) / dt_micro |
---|
| 330 | IF ( precipitation ) THEN |
---|
| 331 | tend_qr(:,j,i) = ( qr_1d(:) - qr(:,j,i) ) / dt_micro |
---|
| 332 | tend_nr(:,j,i) = ( nr_1d(:) - nr(:,j,i) ) / dt_micro |
---|
| 333 | ENDIF |
---|
| 334 | |
---|
| 335 | END SUBROUTINE microphysics_control_ij |
---|
| 336 | |
---|
| 337 | SUBROUTINE adjust_cloud_ij( i, j ) |
---|
| 338 | |
---|
| 339 | USE arrays_3d |
---|
| 340 | USE cloud_parameters |
---|
| 341 | USE indices |
---|
| 342 | |
---|
| 343 | IMPLICIT NONE |
---|
| 344 | |
---|
[1022] | 345 | INTEGER :: i, j, k |
---|
[1115] | 346 | ! |
---|
| 347 | !-- Adjust number of raindrops to avoid nonlinear effects in |
---|
| 348 | !-- sedimentation and evaporation of rain drops due to too small or |
---|
| 349 | !-- too big weights of rain drops (Stevens and Seifert, 2008). |
---|
| 350 | !-- The same procedure is applied to cloud droplets if they are determined |
---|
| 351 | !-- prognostically. |
---|
| 352 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1022] | 353 | |
---|
[1065] | 354 | IF ( qr(k,j,i) <= eps_sb ) THEN |
---|
| 355 | qr(k,j,i) = 0.0 |
---|
[1115] | 356 | nr(k,j,i) = 0.0 |
---|
[1065] | 357 | ELSE |
---|
[1022] | 358 | ! |
---|
[1048] | 359 | !-- Adjust number of raindrops to avoid nonlinear effects in |
---|
| 360 | !-- sedimentation and evaporation of rain drops due to too small or |
---|
[1065] | 361 | !-- too big weights of rain drops (Stevens and Seifert, 2008). |
---|
| 362 | IF ( nr(k,j,i) * xrmin > qr(k,j,i) * hyrho(k) ) THEN |
---|
| 363 | nr(k,j,i) = qr(k,j,i) * hyrho(k) / xrmin |
---|
| 364 | ELSEIF ( nr(k,j,i) * xrmax < qr(k,j,i) * hyrho(k) ) THEN |
---|
| 365 | nr(k,j,i) = qr(k,j,i) * hyrho(k) / xrmax |
---|
[1048] | 366 | ENDIF |
---|
[1115] | 367 | |
---|
[1022] | 368 | ENDIF |
---|
[1115] | 369 | |
---|
[1022] | 370 | ENDDO |
---|
| 371 | |
---|
[1115] | 372 | END SUBROUTINE adjust_cloud_ij |
---|
[1022] | 373 | |
---|
[1106] | 374 | |
---|
[1005] | 375 | SUBROUTINE autoconversion_ij( i, j ) |
---|
[1000] | 376 | |
---|
| 377 | USE arrays_3d |
---|
| 378 | USE cloud_parameters |
---|
[1005] | 379 | USE control_parameters |
---|
[1065] | 380 | USE grid_variables |
---|
[1115] | 381 | USE indices |
---|
| 382 | |
---|
[1000] | 383 | IMPLICIT NONE |
---|
| 384 | |
---|
| 385 | INTEGER :: i, j, k |
---|
[1115] | 386 | REAL :: alpha_cc, autocon, epsilon, k_au, l_mix, nu_c, phi_au, & |
---|
| 387 | r_cc, rc, re_lambda, selfcoll, sigma_cc, tau_cloud, xc |
---|
[1000] | 388 | |
---|
[1106] | 389 | |
---|
[1005] | 390 | k_au = k_cc / ( 20.0 * x0 ) |
---|
| 391 | |
---|
[1115] | 392 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1000] | 393 | |
---|
[1115] | 394 | IF ( qc_1d(k) > eps_sb ) THEN |
---|
[1012] | 395 | ! |
---|
[1048] | 396 | !-- Intern time scale of coagulation (Seifert and Beheng, 2006): |
---|
[1115] | 397 | !-- (1.0 - qc(k,j,i) / ( qc(k,j,i) + qr_1d(k) )) |
---|
| 398 | tau_cloud = 1.0 - qc_1d(k) / ( qr_1d(k) + qc_1d(k) ) |
---|
[1012] | 399 | ! |
---|
| 400 | !-- Universal function for autoconversion process |
---|
| 401 | !-- (Seifert and Beheng, 2006): |
---|
[1048] | 402 | phi_au = 600.0 * tau_cloud**0.68 * ( 1.0 - tau_cloud**0.68 )**3 |
---|
[1012] | 403 | ! |
---|
| 404 | !-- Shape parameter of gamma distribution (Geoffroy et al., 2010): |
---|
| 405 | !-- (Use constant nu_c = 1.0 instead?) |
---|
[1115] | 406 | nu_c = 1.0 !MAX( 0.0, 1580.0 * hyrho(k) * qc(k,j,i) - 0.28 ) |
---|
[1012] | 407 | ! |
---|
| 408 | !-- Mean weight of cloud droplets: |
---|
[1115] | 409 | xc = hyrho(k) * qc_1d(k) / nc_1d(k) |
---|
[1012] | 410 | ! |
---|
[1065] | 411 | !-- Parameterized turbulence effects on autoconversion (Seifert, |
---|
| 412 | !-- Nuijens and Stevens, 2010) |
---|
| 413 | IF ( turbulence ) THEN |
---|
| 414 | ! |
---|
| 415 | !-- Weight averaged radius of cloud droplets: |
---|
| 416 | rc = 0.5 * ( xc * dpirho_l )**( 1.0 / 3.0 ) |
---|
| 417 | |
---|
| 418 | alpha_cc = ( a_1 + a_2 * nu_c ) / ( 1.0 + a_3 * nu_c ) |
---|
| 419 | r_cc = ( b_1 + b_2 * nu_c ) / ( 1.0 + b_3 * nu_c ) |
---|
| 420 | sigma_cc = ( c_1 + c_2 * nu_c ) / ( 1.0 + c_3 * nu_c ) |
---|
| 421 | ! |
---|
| 422 | !-- Mixing length (neglecting distance to ground and stratification) |
---|
| 423 | l_mix = ( dx * dy * dzu(k) )**( 1.0 / 3.0 ) |
---|
| 424 | ! |
---|
| 425 | !-- Limit dissipation rate according to Seifert, Nuijens and |
---|
| 426 | !-- Stevens (2010) |
---|
| 427 | epsilon = MIN( 0.06, diss(k,j,i) ) |
---|
| 428 | ! |
---|
| 429 | !-- Compute Taylor-microscale Reynolds number: |
---|
| 430 | re_lambda = 6.0 / 11.0 * ( l_mix / c_const )**( 2.0 / 3.0 ) * & |
---|
| 431 | SQRT( 15.0 / kin_vis_air ) * epsilon**( 1.0 / 6.0 ) |
---|
| 432 | ! |
---|
| 433 | !-- The factor of 1.0E4 is needed to convert the dissipation rate |
---|
| 434 | !-- from m2 s-3 to cm2 s-3. |
---|
| 435 | k_au = k_au * ( 1.0 + & |
---|
| 436 | epsilon * 1.0E4 * ( re_lambda * 1.0E-3 )**0.25 * & |
---|
| 437 | ( alpha_cc * EXP( -1.0 * ( ( rc - r_cc ) / & |
---|
| 438 | sigma_cc )**2 ) + beta_cc ) ) |
---|
| 439 | ENDIF |
---|
| 440 | ! |
---|
[1012] | 441 | !-- Autoconversion rate (Seifert and Beheng, 2006): |
---|
[1115] | 442 | autocon = k_au * ( nu_c + 2.0 ) * ( nu_c + 4.0 ) / & |
---|
| 443 | ( nu_c + 1.0 )**2 * qc_1d(k)**2 * xc**2 * & |
---|
| 444 | ( 1.0 + phi_au / ( 1.0 - tau_cloud )**2 ) * & |
---|
| 445 | rho_surface |
---|
| 446 | autocon = MIN( autocon, qc_1d(k) / dt_micro ) |
---|
[1106] | 447 | |
---|
[1115] | 448 | qr_1d(k) = qr_1d(k) + autocon * dt_micro |
---|
| 449 | qc_1d(k) = qc_1d(k) - autocon * dt_micro |
---|
| 450 | nr_1d(k) = nr_1d(k) + autocon / x0 * hyrho(k) * dt_micro |
---|
| 451 | |
---|
[1005] | 452 | ENDIF |
---|
[1000] | 453 | |
---|
| 454 | ENDDO |
---|
| 455 | |
---|
[1005] | 456 | END SUBROUTINE autoconversion_ij |
---|
| 457 | |
---|
[1106] | 458 | |
---|
[1005] | 459 | SUBROUTINE accretion_ij( i, j ) |
---|
| 460 | |
---|
| 461 | USE arrays_3d |
---|
| 462 | USE cloud_parameters |
---|
[1115] | 463 | USE control_parameters |
---|
[1005] | 464 | USE indices |
---|
[1115] | 465 | |
---|
[1005] | 466 | IMPLICIT NONE |
---|
| 467 | |
---|
| 468 | INTEGER :: i, j, k |
---|
[1115] | 469 | REAL :: accr, k_cr, phi_ac, tau_cloud, xc |
---|
[1005] | 470 | |
---|
[1115] | 471 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 472 | IF ( ( qc_1d(k) > eps_sb ) .AND. ( qr_1d(k) > eps_sb ) ) THEN |
---|
[1012] | 473 | ! |
---|
[1048] | 474 | !-- Intern time scale of coagulation (Seifert and Beheng, 2006): |
---|
[1115] | 475 | tau_cloud = 1.0 - qc_1d(k) / ( qc_1d(k) + qr_1d(k) ) |
---|
[1012] | 476 | ! |
---|
| 477 | !-- Universal function for accretion process |
---|
[1048] | 478 | !-- (Seifert and Beheng, 2001): |
---|
[1065] | 479 | phi_ac = tau_cloud / ( tau_cloud + 5.0E-5 ) |
---|
| 480 | phi_ac = ( phi_ac**2 )**2 |
---|
[1012] | 481 | ! |
---|
[1065] | 482 | !-- Parameterized turbulence effects on autoconversion (Seifert, |
---|
| 483 | !-- Nuijens and Stevens, 2010). The factor of 1.0E4 is needed to |
---|
| 484 | !-- convert the dissipation (diss) from m2 s-3 to cm2 s-3. |
---|
| 485 | IF ( turbulence ) THEN |
---|
[1115] | 486 | k_cr = k_cr0 * ( 1.0 + 0.05 * & |
---|
[1065] | 487 | MIN( 600.0, diss(k,j,i) * 1.0E4 )**0.25 ) |
---|
| 488 | ELSE |
---|
| 489 | k_cr = k_cr0 |
---|
| 490 | ENDIF |
---|
| 491 | ! |
---|
[1012] | 492 | !-- Accretion rate (Seifert and Beheng, 2006): |
---|
[1115] | 493 | accr = k_cr * qc_1d(k) * qr_1d(k) * phi_ac * & |
---|
[1065] | 494 | SQRT( rho_surface * hyrho(k) ) |
---|
[1115] | 495 | accr = MIN( accr, qc_1d(k) / dt_micro ) |
---|
[1106] | 496 | |
---|
[1115] | 497 | qr_1d(k) = qr_1d(k) + accr * dt_micro |
---|
| 498 | qc_1d(k) = qc_1d(k) - accr * dt_micro |
---|
| 499 | |
---|
[1005] | 500 | ENDIF |
---|
[1106] | 501 | |
---|
[1005] | 502 | ENDDO |
---|
| 503 | |
---|
[1000] | 504 | END SUBROUTINE accretion_ij |
---|
| 505 | |
---|
[1005] | 506 | |
---|
| 507 | SUBROUTINE selfcollection_breakup_ij( i, j ) |
---|
| 508 | |
---|
| 509 | USE arrays_3d |
---|
| 510 | USE cloud_parameters |
---|
[1115] | 511 | USE control_parameters |
---|
[1005] | 512 | USE indices |
---|
| 513 | |
---|
| 514 | IMPLICIT NONE |
---|
| 515 | |
---|
| 516 | INTEGER :: i, j, k |
---|
[1115] | 517 | REAL :: breakup, dr, phi_br, selfcoll |
---|
[1005] | 518 | |
---|
[1115] | 519 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 520 | IF ( qr_1d(k) > eps_sb ) THEN |
---|
[1012] | 521 | ! |
---|
[1115] | 522 | !-- Selfcollection rate (Seifert and Beheng, 2001): |
---|
| 523 | selfcoll = k_rr * nr_1d(k) * qr_1d(k) * & |
---|
[1005] | 524 | SQRT( hyrho(k) * rho_surface ) |
---|
[1012] | 525 | ! |
---|
[1115] | 526 | !-- Weight averaged diameter of rain drops: |
---|
| 527 | dr = ( hyrho(k) * qr_1d(k) / nr_1d(k) * dpirho_l )**( 1.0 / 3.0 ) |
---|
| 528 | ! |
---|
[1048] | 529 | !-- Collisional breakup rate (Seifert, 2008): |
---|
[1115] | 530 | IF ( dr >= 0.3E-3 ) THEN |
---|
| 531 | phi_br = k_br * ( dr - 1.1E-3 ) |
---|
[1005] | 532 | breakup = selfcoll * ( phi_br + 1.0 ) |
---|
| 533 | ELSE |
---|
| 534 | breakup = 0.0 |
---|
| 535 | ENDIF |
---|
[1048] | 536 | |
---|
[1115] | 537 | selfcoll = MAX( breakup - selfcoll, -nr_1d(k) / dt_micro ) |
---|
| 538 | nr_1d(k) = nr_1d(k) + selfcoll * dt_micro |
---|
[1106] | 539 | |
---|
[1005] | 540 | ENDIF |
---|
| 541 | ENDDO |
---|
| 542 | |
---|
| 543 | END SUBROUTINE selfcollection_breakup_ij |
---|
| 544 | |
---|
[1106] | 545 | |
---|
[1012] | 546 | SUBROUTINE evaporation_rain_ij( i, j ) |
---|
[1022] | 547 | ! |
---|
| 548 | !-- Evaporation of precipitable water. Condensation is neglected for |
---|
| 549 | !-- precipitable water. |
---|
[1012] | 550 | |
---|
| 551 | USE arrays_3d |
---|
| 552 | USE cloud_parameters |
---|
| 553 | USE constants |
---|
[1115] | 554 | USE control_parameters |
---|
[1012] | 555 | USE indices |
---|
[1048] | 556 | |
---|
[1012] | 557 | IMPLICIT NONE |
---|
| 558 | |
---|
| 559 | INTEGER :: i, j, k |
---|
[1115] | 560 | REAL :: alpha, dr, e_s, evap, evap_nr, f_vent, g_evap, lambda_r, & |
---|
| 561 | mu_r, mu_r_2, mu_r_5d2, nr_0, q_s, sat, t_l, temp, xr |
---|
[1012] | 562 | |
---|
[1115] | 563 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 564 | IF ( qr_1d(k) > eps_sb ) THEN |
---|
[1012] | 565 | ! |
---|
| 566 | !-- Actual liquid water temperature: |
---|
[1115] | 567 | t_l = t_d_pt(k) * pt_1d(k) |
---|
[1012] | 568 | ! |
---|
| 569 | !-- Saturation vapor pressure at t_l: |
---|
| 570 | e_s = 610.78 * EXP( 17.269 * ( t_l - 273.16 ) / ( t_l - 35.86 ) ) |
---|
| 571 | ! |
---|
| 572 | !-- Computation of saturation humidity: |
---|
| 573 | q_s = 0.622 * e_s / ( hyp(k) - 0.378 * e_s ) |
---|
| 574 | alpha = 0.622 * l_d_r * l_d_cp / ( t_l * t_l ) |
---|
[1115] | 575 | q_s = q_s * ( 1.0 + alpha * q_1d(k) ) / ( 1.0 + alpha * q_s ) |
---|
[1012] | 576 | ! |
---|
[1106] | 577 | !-- Supersaturation: |
---|
[1115] | 578 | sat = MIN( 0.0, ( q_1d(k) - qr_1d(k) - qc_1d(k) ) / q_s - 1.0 ) |
---|
[1012] | 579 | ! |
---|
| 580 | !-- Actual temperature: |
---|
[1115] | 581 | temp = t_l + l_d_cp * ( qc_1d(k) + qr_1d(k) ) |
---|
| 582 | |
---|
| 583 | g_evap = 1.0 / ( ( l_v / ( r_v * temp ) - 1.0 ) * l_v / & |
---|
| 584 | ( thermal_conductivity_l * temp ) + r_v * temp / & |
---|
| 585 | ( diff_coeff_l * e_s ) ) |
---|
[1012] | 586 | ! |
---|
[1115] | 587 | !-- Mean weight of rain drops |
---|
| 588 | xr = hyrho(k) * qr_1d(k) / nr_1d(k) |
---|
[1012] | 589 | ! |
---|
[1115] | 590 | !-- Weight averaged diameter of rain drops: |
---|
| 591 | dr = ( xr * dpirho_l )**( 1.0 / 3.0 ) |
---|
| 592 | ! |
---|
[1049] | 593 | !-- Compute ventilation factor and intercept parameter |
---|
| 594 | !-- (Seifert and Beheng, 2006; Seifert, 2008): |
---|
[1048] | 595 | IF ( ventilation_effect ) THEN |
---|
[1115] | 596 | ! |
---|
| 597 | !-- Shape parameter of gamma distribution (Milbrandt and Yau, 2005; |
---|
| 598 | !-- Stevens and Seifert, 2008): |
---|
| 599 | mu_r = 10.0 * ( 1.0 + TANH( 1.2E3 * ( dr - 1.4E-3 ) ) ) |
---|
| 600 | ! |
---|
| 601 | !-- Slope parameter of gamma distribution (Seifert, 2008): |
---|
| 602 | lambda_r = ( ( mu_r + 3.0 ) * ( mu_r + 2.0 ) * & |
---|
| 603 | ( mu_r + 1.0 ) )**( 1.0 / 3.0 ) / dr |
---|
| 604 | |
---|
| 605 | mu_r_2 = mu_r + 2.0 |
---|
| 606 | mu_r_5d2 = mu_r + 2.5 |
---|
[1048] | 607 | f_vent = a_vent * gamm( mu_r_2 ) * & |
---|
[1115] | 608 | lambda_r**( -mu_r_2 ) + & |
---|
[1048] | 609 | b_vent * schmidt_p_1d3 * & |
---|
| 610 | SQRT( a_term / kin_vis_air ) * gamm( mu_r_5d2 ) * & |
---|
[1115] | 611 | lambda_r**( -mu_r_5d2 ) * & |
---|
[1048] | 612 | ( 1.0 - 0.5 * ( b_term / a_term ) * & |
---|
[1115] | 613 | ( lambda_r / & |
---|
| 614 | ( c_term + lambda_r ) )**mu_r_5d2 - & |
---|
[1048] | 615 | 0.125 * ( b_term / a_term )**2 * & |
---|
[1115] | 616 | ( lambda_r / & |
---|
| 617 | ( 2.0 * c_term + lambda_r ) )**mu_r_5d2 - & |
---|
[1048] | 618 | 0.0625 * ( b_term / a_term )**3 * & |
---|
[1115] | 619 | ( lambda_r / & |
---|
| 620 | ( 3.0 * c_term + lambda_r ) )**mu_r_5d2 - & |
---|
[1048] | 621 | 0.0390625 * ( b_term / a_term )**4 * & |
---|
[1115] | 622 | ( lambda_r / & |
---|
| 623 | ( 4.0 * c_term + lambda_r ) )**mu_r_5d2 ) |
---|
| 624 | nr_0 = nr_1d(k) * lambda_r**( mu_r + 1.0 ) / & |
---|
| 625 | gamm( mu_r + 1.0 ) |
---|
[1048] | 626 | ELSE |
---|
| 627 | f_vent = 1.0 |
---|
[1115] | 628 | nr_0 = nr_1d(k) * dr |
---|
[1048] | 629 | ENDIF |
---|
[1012] | 630 | ! |
---|
[1048] | 631 | !-- Evaporation rate of rain water content (Seifert and Beheng, 2006): |
---|
[1049] | 632 | evap = 2.0 * pi * nr_0 * g_evap * f_vent * sat / & |
---|
[1048] | 633 | hyrho(k) |
---|
[1106] | 634 | |
---|
[1115] | 635 | evap = MAX( evap, -qr_1d(k) / dt_micro ) |
---|
| 636 | evap_nr = MAX( c_evap * evap / xr * hyrho(k), & |
---|
| 637 | -nr_1d(k) / dt_micro ) |
---|
| 638 | |
---|
| 639 | qr_1d(k) = qr_1d(k) + evap * dt_micro |
---|
| 640 | nr_1d(k) = nr_1d(k) + evap_nr * dt_micro |
---|
[1012] | 641 | ENDIF |
---|
[1106] | 642 | |
---|
[1012] | 643 | ENDDO |
---|
| 644 | |
---|
| 645 | END SUBROUTINE evaporation_rain_ij |
---|
| 646 | |
---|
[1106] | 647 | |
---|
[1012] | 648 | SUBROUTINE sedimentation_cloud_ij( i, j ) |
---|
| 649 | |
---|
| 650 | USE arrays_3d |
---|
| 651 | USE cloud_parameters |
---|
| 652 | USE constants |
---|
[1115] | 653 | USE control_parameters |
---|
[1012] | 654 | USE indices |
---|
| 655 | |
---|
| 656 | IMPLICIT NONE |
---|
| 657 | |
---|
| 658 | INTEGER :: i, j, k |
---|
[1115] | 659 | REAL :: sed_qc_const |
---|
[1106] | 660 | |
---|
[1115] | 661 | REAL, DIMENSION(nzb:nzt+1) :: sed_qc |
---|
| 662 | |
---|
[1012] | 663 | ! |
---|
| 664 | !-- Sedimentation of cloud droplets (Heus et al., 2010): |
---|
[1115] | 665 | sed_qc_const = k_st * ( 3.0 / ( 4.0 * pi * rho_l ))**( 2.0 / 3.0 ) * & |
---|
[1048] | 666 | EXP( 5.0 * LOG( sigma_gc )**2 ) |
---|
[1012] | 667 | |
---|
[1115] | 668 | sed_qc(nzt+1) = 0.0 |
---|
[1012] | 669 | |
---|
[1115] | 670 | DO k = nzt, nzb_s_inner(j,i)+1, -1 |
---|
| 671 | IF ( qc_1d(k) > eps_sb ) THEN |
---|
| 672 | sed_qc(k) = sed_qc_const * nc_1d(k)**( -2.0 / 3.0 ) * & |
---|
| 673 | ( qc_1d(k) * hyrho(k) )**( 5.0 / 3.0 ) |
---|
| 674 | ELSE |
---|
| 675 | sed_qc(k) = 0.0 |
---|
[1012] | 676 | ENDIF |
---|
[1115] | 677 | |
---|
| 678 | sed_qc(k) = MIN( sed_qc(k), hyrho(k) * dzu(k+1) * q_1d(k) / & |
---|
| 679 | dt_micro + sed_qc(k+1) ) |
---|
| 680 | |
---|
| 681 | q_1d(k) = q_1d(k) + ( sed_qc(k+1) - sed_qc(k) ) * ddzu(k+1) / & |
---|
| 682 | hyrho(k) * dt_micro |
---|
| 683 | qc_1d(k) = qc_1d(k) + ( sed_qc(k+1) - sed_qc(k) ) * ddzu(k+1) / & |
---|
| 684 | hyrho(k) * dt_micro |
---|
| 685 | pt_1d(k) = pt_1d(k) - ( sed_qc(k+1) - sed_qc(k) ) * ddzu(k+1) / & |
---|
| 686 | hyrho(k) * l_d_cp * pt_d_t(k) * dt_micro |
---|
| 687 | |
---|
[1012] | 688 | ENDDO |
---|
| 689 | |
---|
| 690 | END SUBROUTINE sedimentation_cloud_ij |
---|
| 691 | |
---|
[1106] | 692 | |
---|
[1012] | 693 | SUBROUTINE sedimentation_rain_ij( i, j ) |
---|
| 694 | |
---|
| 695 | USE arrays_3d |
---|
| 696 | USE cloud_parameters |
---|
| 697 | USE constants |
---|
[1115] | 698 | USE control_parameters |
---|
[1012] | 699 | USE indices |
---|
[1048] | 700 | USE statistics |
---|
[1012] | 701 | |
---|
| 702 | IMPLICIT NONE |
---|
| 703 | |
---|
[1092] | 704 | INTEGER :: i, j, k, k_run |
---|
[1115] | 705 | REAL :: c_run, d_max, d_mean, d_min, dr, dt_sedi, flux, lambda_r, & |
---|
| 706 | mu_r, z_run |
---|
[1012] | 707 | |
---|
[1115] | 708 | REAL, DIMENSION(nzb:nzt+1) :: c_nr, c_qr, d_nr, d_qr, nr_slope, & |
---|
| 709 | qr_slope, sed_nr, sed_qr, w_nr, w_qr |
---|
[1065] | 710 | ! |
---|
| 711 | !-- Computation of sedimentation flux. Implementation according to Stevens |
---|
| 712 | !-- and Seifert (2008). |
---|
[1048] | 713 | IF ( intermediate_timestep_count == 1 ) prr(:,j,i) = 0.0 |
---|
[1012] | 714 | ! |
---|
[1065] | 715 | !-- Compute velocities |
---|
| 716 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1115] | 717 | IF ( qr_1d(k) > eps_sb ) THEN |
---|
| 718 | ! |
---|
| 719 | !-- Weight averaged diameter of rain drops: |
---|
| 720 | dr = ( hyrho(k) * qr_1d(k) / nr_1d(k) * dpirho_l )**( 1.0 / 3.0 ) |
---|
| 721 | ! |
---|
| 722 | !-- Shape parameter of gamma distribution (Milbrandt and Yau, 2005; |
---|
| 723 | !-- Stevens and Seifert, 2008): |
---|
| 724 | mu_r = 10.0 * ( 1.0 + TANH( 1.2E3 * ( dr - 1.4E-3 ) ) ) |
---|
| 725 | ! |
---|
| 726 | !-- Slope parameter of gamma distribution (Seifert, 2008): |
---|
| 727 | lambda_r = ( ( mu_r + 3.0 ) * ( mu_r + 2.0 ) * & |
---|
| 728 | ( mu_r + 1.0 ) )**( 1.0 / 3.0 ) / dr |
---|
| 729 | |
---|
[1065] | 730 | w_nr(k) = MAX( 0.1, MIN( 20.0, a_term - b_term * ( 1.0 + & |
---|
[1115] | 731 | c_term / lambda_r )**( -1.0 * ( mu_r + 1.0 ) ) ) ) |
---|
[1065] | 732 | w_qr(k) = MAX( 0.1, MIN( 20.0, a_term - b_term * ( 1.0 + & |
---|
[1115] | 733 | c_term / lambda_r )**( -1.0 * ( mu_r + 4.0 ) ) ) ) |
---|
[1065] | 734 | ELSE |
---|
| 735 | w_nr(k) = 0.0 |
---|
| 736 | w_qr(k) = 0.0 |
---|
| 737 | ENDIF |
---|
| 738 | ENDDO |
---|
[1048] | 739 | ! |
---|
[1065] | 740 | !-- Adjust boundary values |
---|
[1115] | 741 | w_nr(nzb_s_inner(j,i)) = w_nr(nzb_s_inner(j,i)+1) |
---|
| 742 | w_qr(nzb_s_inner(j,i)) = w_qr(nzb_s_inner(j,i)+1) |
---|
| 743 | w_nr(nzt+1) = 0.0 |
---|
| 744 | w_qr(nzt+1) = 0.0 |
---|
[1065] | 745 | ! |
---|
| 746 | !-- Compute Courant number |
---|
[1115] | 747 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[1065] | 748 | c_nr(k) = 0.25 * ( w_nr(k-1) + 2.0 * w_nr(k) + w_nr(k+1) ) * & |
---|
[1115] | 749 | dt_micro * ddzu(k) |
---|
[1065] | 750 | c_qr(k) = 0.25 * ( w_qr(k-1) + 2.0 * w_qr(k) + w_qr(k+1) ) * & |
---|
[1115] | 751 | dt_micro * ddzu(k) |
---|
| 752 | ENDDO |
---|
[1065] | 753 | ! |
---|
| 754 | !-- Limit slopes with monotonized centered (MC) limiter (van Leer, 1977): |
---|
| 755 | IF ( limiter_sedimentation ) THEN |
---|
| 756 | |
---|
[1115] | 757 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 758 | d_mean = 0.5 * ( qr_1d(k+1) + qr_1d(k-1) ) |
---|
| 759 | d_min = qr_1d(k) - MIN( qr_1d(k+1), qr_1d(k), qr_1d(k-1) ) |
---|
| 760 | d_max = MAX( qr_1d(k+1), qr_1d(k), qr_1d(k-1) ) - qr_1d(k) |
---|
[1065] | 761 | |
---|
| 762 | qr_slope(k) = SIGN(1.0, d_mean) * MIN ( 2.0 * d_min, 2.0 * d_max, & |
---|
| 763 | ABS( d_mean ) ) |
---|
| 764 | |
---|
[1115] | 765 | d_mean = 0.5 * ( nr_1d(k+1) + nr_1d(k-1) ) |
---|
| 766 | d_min = nr_1d(k) - MIN( nr_1d(k+1), nr_1d(k), nr_1d(k-1) ) |
---|
| 767 | d_max = MAX( nr_1d(k+1), nr_1d(k), nr_1d(k-1) ) - nr_1d(k) |
---|
[1065] | 768 | |
---|
| 769 | nr_slope(k) = SIGN(1.0, d_mean) * MIN ( 2.0 * d_min, 2.0 * d_max, & |
---|
| 770 | ABS( d_mean ) ) |
---|
[1022] | 771 | ENDDO |
---|
[1048] | 772 | |
---|
[1065] | 773 | ELSE |
---|
[1106] | 774 | |
---|
[1065] | 775 | nr_slope = 0.0 |
---|
| 776 | qr_slope = 0.0 |
---|
[1106] | 777 | |
---|
[1065] | 778 | ENDIF |
---|
[1115] | 779 | |
---|
| 780 | sed_nr(nzt+1) = 0.0 |
---|
| 781 | sed_qr(nzt+1) = 0.0 |
---|
[1065] | 782 | ! |
---|
| 783 | !-- Compute sedimentation flux |
---|
[1115] | 784 | DO k = nzt, nzb_s_inner(j,i)+1, -1 |
---|
[1065] | 785 | ! |
---|
| 786 | !-- Sum up all rain drop number densities which contribute to the flux |
---|
| 787 | !-- through k-1/2 |
---|
| 788 | flux = 0.0 |
---|
| 789 | z_run = 0.0 ! height above z(k) |
---|
| 790 | k_run = k |
---|
| 791 | c_run = MIN( 1.0, c_nr(k) ) |
---|
[1115] | 792 | DO WHILE ( c_run > 0.0 .AND. k_run <= nzt ) |
---|
[1065] | 793 | flux = flux + hyrho(k_run) * & |
---|
[1115] | 794 | ( nr_1d(k_run) + nr_slope(k_run) * ( 1.0 - c_run ) * & |
---|
[1065] | 795 | 0.5 ) * c_run * dzu(k_run) |
---|
| 796 | z_run = z_run + dzu(k_run) |
---|
| 797 | k_run = k_run + 1 |
---|
| 798 | c_run = MIN( 1.0, c_nr(k_run) - z_run * ddzu(k_run) ) |
---|
[1022] | 799 | ENDDO |
---|
| 800 | ! |
---|
[1065] | 801 | !-- It is not allowed to sediment more rain drop number density than |
---|
| 802 | !-- available |
---|
| 803 | flux = MIN( flux, & |
---|
[1115] | 804 | hyrho(k) * dzu(k+1) * nr_1d(k) + sed_nr(k+1) * dt_micro ) |
---|
[1065] | 805 | |
---|
[1115] | 806 | sed_nr(k) = flux / dt_micro |
---|
| 807 | nr_1d(k) = nr_1d(k) + ( sed_nr(k+1) - sed_nr(k) ) * ddzu(k+1) / & |
---|
| 808 | hyrho(k) * dt_micro |
---|
[1065] | 809 | ! |
---|
| 810 | !-- Sum up all rain water content which contributes to the flux |
---|
| 811 | !-- through k-1/2 |
---|
| 812 | flux = 0.0 |
---|
| 813 | z_run = 0.0 ! height above z(k) |
---|
| 814 | k_run = k |
---|
| 815 | c_run = MIN( 1.0, c_qr(k) ) |
---|
[1106] | 816 | |
---|
[1065] | 817 | DO WHILE ( c_run > 0.0 .AND. k_run <= nzt-1 ) |
---|
[1106] | 818 | |
---|
[1065] | 819 | flux = flux + hyrho(k_run) * & |
---|
[1115] | 820 | ( qr_1d(k_run) + qr_slope(k_run) * ( 1.0 - c_run ) * & |
---|
[1065] | 821 | 0.5 ) * c_run * dzu(k_run) |
---|
| 822 | z_run = z_run + dzu(k_run) |
---|
| 823 | k_run = k_run + 1 |
---|
| 824 | c_run = MIN( 1.0, c_qr(k_run) - z_run * ddzu(k_run) ) |
---|
[1106] | 825 | |
---|
[1065] | 826 | ENDDO |
---|
| 827 | ! |
---|
| 828 | !-- It is not allowed to sediment more rain water content than available |
---|
| 829 | flux = MIN( flux, & |
---|
[1115] | 830 | hyrho(k) * dzu(k) * qr_1d(k) + sed_qr(k+1) * dt_micro ) |
---|
[1065] | 831 | |
---|
[1115] | 832 | sed_qr(k) = flux / dt_micro |
---|
| 833 | |
---|
| 834 | qr_1d(k) = qr_1d(k) + ( sed_qr(k+1) - sed_qr(k) ) * ddzu(k+1) / & |
---|
| 835 | hyrho(k) * dt_micro |
---|
| 836 | q_1d(k) = q_1d(k) + ( sed_qr(k+1) - sed_qr(k) ) * ddzu(k+1) / & |
---|
| 837 | hyrho(k) * dt_micro |
---|
| 838 | pt_1d(k) = pt_1d(k) - ( sed_qr(k+1) - sed_qr(k) ) * ddzu(k+1) / & |
---|
| 839 | hyrho(k) * l_d_cp * pt_d_t(k) * dt_micro |
---|
[1065] | 840 | ! |
---|
| 841 | !-- Compute the rain rate |
---|
| 842 | prr(k,j,i) = prr(k,j,i) + sed_qr(k) / hyrho(k) * & |
---|
[1115] | 843 | weight_substep(intermediate_timestep_count) |
---|
[1065] | 844 | ENDDO |
---|
[1115] | 845 | |
---|
[1065] | 846 | ! |
---|
[1048] | 847 | !-- Precipitation amount |
---|
| 848 | IF ( intermediate_timestep_count == intermediate_timestep_count_max & |
---|
| 849 | .AND. ( dt_do2d_xy - time_do2d_xy ) < & |
---|
| 850 | precipitation_amount_interval ) THEN |
---|
[1012] | 851 | |
---|
[1048] | 852 | precipitation_amount(j,i) = precipitation_amount(j,i) + & |
---|
[1115] | 853 | prr(nzb_s_inner(j,i)+1,j,i) * & |
---|
| 854 | hyrho(nzb_s_inner(j,i)+1) * dt_3d |
---|
[1048] | 855 | ENDIF |
---|
| 856 | |
---|
[1012] | 857 | END SUBROUTINE sedimentation_rain_ij |
---|
| 858 | |
---|
[1106] | 859 | |
---|
[1012] | 860 | ! |
---|
| 861 | !-- This function computes the gamma function (Press et al., 1992). |
---|
| 862 | !-- The gamma function is needed for the calculation of the evaporation |
---|
| 863 | !-- of rain drops. |
---|
| 864 | FUNCTION gamm( xx ) |
---|
[1048] | 865 | |
---|
| 866 | USE cloud_parameters |
---|
[1012] | 867 | |
---|
| 868 | IMPLICIT NONE |
---|
| 869 | |
---|
[1065] | 870 | REAL :: gamm, ser, tmp, x_gamm, xx, y_gamm |
---|
[1012] | 871 | INTEGER :: j |
---|
[1106] | 872 | |
---|
[1012] | 873 | |
---|
| 874 | x_gamm = xx |
---|
| 875 | y_gamm = x_gamm |
---|
| 876 | tmp = x_gamm + 5.5 |
---|
| 877 | tmp = ( x_gamm + 0.5 ) * LOG( tmp ) - tmp |
---|
| 878 | ser = 1.000000000190015 |
---|
[1106] | 879 | |
---|
| 880 | DO j = 1, 6 |
---|
[1012] | 881 | y_gamm = y_gamm + 1.0 |
---|
| 882 | ser = ser + cof( j ) / y_gamm |
---|
[1106] | 883 | ENDDO |
---|
| 884 | |
---|
[1012] | 885 | ! |
---|
| 886 | !-- Until this point the algorithm computes the logarithm of the gamma |
---|
| 887 | !-- function. Hence, the exponential function is used. |
---|
| 888 | ! gamm = EXP( tmp + LOG( stp * ser / x_gamm ) ) |
---|
| 889 | gamm = EXP( tmp ) * stp * ser / x_gamm |
---|
[1106] | 890 | |
---|
[1012] | 891 | RETURN |
---|
| 892 | |
---|
| 893 | END FUNCTION gamm |
---|
| 894 | |
---|
| 895 | END MODULE microphysics_mod |
---|