| 1 | SUBROUTINE lpm_droplet_collision |
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| 2 | |
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| 3 | !--------------------------------------------------------------------------------! |
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| 4 | ! This file is part of PALM. |
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| 5 | ! |
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| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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| 8 | ! either version 3 of the License, or (at your option) any later version. |
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| 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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| 17 | ! Copyright 1997-2014 Leibniz Universitaet Hannover |
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| 18 | !--------------------------------------------------------------------------------! |
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| 19 | ! |
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| 20 | ! Current revisions: |
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| 21 | ! ------------------ |
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| 22 | ! |
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| 23 | ! |
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| 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: lpm_droplet_collision.f90 1321 2014-03-20 09:40:40Z raasch $ |
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| 27 | ! |
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| 28 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 29 | ! ONLY-attribute added to USE-statements, |
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| 30 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 31 | ! kinds are defined in new module kinds, |
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| 32 | ! revision history before 2012 removed, |
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| 33 | ! comment fields (!:) to be used for variable explanations added to |
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| 34 | ! all variable declaration statements |
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| 35 | ! |
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| 36 | ! 1092 2013-02-02 11:24:22Z raasch |
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| 37 | ! unused variables removed |
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| 38 | ! |
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| 39 | ! 1071 2012-11-29 16:54:55Z franke |
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| 40 | ! Calculation of Hall and Wang kernel now uses collision-coalescence formulation |
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| 41 | ! proposed by Wang instead of the continuous collection equation (for more |
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| 42 | ! information about new method see PALM documentation) |
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| 43 | ! Bugfix: message identifiers added |
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| 44 | ! |
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| 45 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 46 | ! code put under GPL (PALM 3.9) |
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| 47 | ! |
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| 48 | ! 849 2012-03-15 10:35:09Z raasch |
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| 49 | ! initial revision (former part of advec_particles) |
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| 50 | ! |
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| 51 | ! |
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| 52 | ! Description: |
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| 53 | ! ------------ |
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| 54 | ! Calculates change in droplet radius by collision. Droplet collision is |
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| 55 | ! calculated for each grid box seperately. Collision is parameterized by |
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| 56 | ! using collision kernels. Three different kernels are available: |
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| 57 | ! PALM kernel: Kernel is approximated using a method from Rogers and |
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| 58 | ! Yau (1989, A Short Course in Cloud Physics, Pergamon Press). |
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| 59 | ! All droplets smaller than the treated one are represented by |
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| 60 | ! one droplet with mean features. Collision efficiencies are taken |
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| 61 | ! from the respective table in Rogers and Yau. |
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| 62 | ! Hall kernel: Kernel from Hall (1980, J. Atmos. Sci., 2486-2507), which |
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| 63 | ! considers collision due to pure gravitational effects. |
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| 64 | ! Wang kernel: Beside gravitational effects (treated with the Hall-kernel) also |
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| 65 | ! the effects of turbulence on the collision are considered using |
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| 66 | ! parameterizations of Ayala et al. (2008, New J. Phys., 10, |
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| 67 | ! 075015) and Wang and Grabowski (2009, Atmos. Sci. Lett., 10, |
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| 68 | ! 1-8). This kernel includes three possible effects of turbulence: |
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| 69 | ! the modification of the relative velocity between the droplets, |
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| 70 | ! the effect of preferential concentration, and the enhancement of |
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| 71 | ! collision efficiencies. |
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| 72 | !------------------------------------------------------------------------------! |
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| 73 | |
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| 74 | USE arrays_3d, & |
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| 75 | ONLY: diss, ql, ql_v, ql_vp, u, v, w, zu, zw |
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| 76 | |
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| 77 | USE cloud_parameters, & |
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| 78 | ONLY: effective_coll_efficiency |
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| 79 | |
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| 80 | USE constants, & |
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| 81 | ONLY: pi |
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| 82 | |
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| 83 | USE control_parameters, & |
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| 84 | ONLY: dt_3d, message_string, u_gtrans, v_gtrans, dz |
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| 85 | |
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| 86 | USE cpulog, & |
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| 87 | ONLY: cpu_log, log_point_s |
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| 88 | |
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| 89 | USE grid_variables, & |
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| 90 | ONLY: ddx, dx, ddy, dy |
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| 91 | |
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| 92 | USE indices, & |
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| 93 | ONLY: nxl, nxr, nyn, nys, nzb, nzt |
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| 94 | |
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| 95 | USE kinds |
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| 96 | |
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| 97 | USE lpm_collision_kernels_mod, & |
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| 98 | ONLY: ckernel, collision_efficiency_rogers, recalculate_kernel |
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| 99 | |
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| 100 | USE particle_attributes, & |
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| 101 | ONLY: deleted_particles, dissipation_classes, hall_kernel, & |
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| 102 | palm_kernel, particles, particle_mask, particle_type, & |
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| 103 | prt_count, prt_start_index, use_kernel_tables, wang_kernel |
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| 104 | |
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| 105 | IMPLICIT NONE |
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| 106 | |
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| 107 | INTEGER(iwp) :: eclass !: |
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| 108 | INTEGER(iwp) :: i !: |
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| 109 | INTEGER(iwp) :: ii !: |
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| 110 | INTEGER(iwp) :: inc !: |
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| 111 | INTEGER(iwp) :: is !: |
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| 112 | INTEGER(iwp) :: j !: |
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| 113 | INTEGER(iwp) :: jj !: |
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| 114 | INTEGER(iwp) :: js !: |
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| 115 | INTEGER(iwp) :: k !: |
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| 116 | INTEGER(iwp) :: kk !: |
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| 117 | INTEGER(iwp) :: n !: |
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| 118 | INTEGER(iwp) :: pse !: |
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| 119 | INTEGER(iwp) :: psi !: |
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| 120 | INTEGER(iwp) :: rclass_l !: |
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| 121 | INTEGER(iwp) :: rclass_s !: |
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| 122 | |
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| 123 | REAL(wp) :: aa !: |
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| 124 | REAL(wp) :: bb !: |
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| 125 | REAL(wp) :: cc !: |
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| 126 | REAL(wp) :: dd !: |
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| 127 | REAL(wp) :: ddV !: |
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| 128 | REAL(wp) :: delta_r !: |
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| 129 | REAL(wp) :: delta_v !: |
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| 130 | REAL(wp) :: epsilon !: |
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| 131 | REAL(wp) :: gg !: |
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| 132 | REAL(wp) :: mean_r !: |
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| 133 | REAL(wp) :: ql_int !: |
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| 134 | REAL(wp) :: ql_int_l !: |
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| 135 | REAL(wp) :: ql_int_u !: |
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| 136 | REAL(wp) :: r3 !: |
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| 137 | REAL(wp) :: sl_r3 !: |
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| 138 | REAL(wp) :: sl_r4 !: |
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| 139 | REAL(wp) :: sum1 !: |
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| 140 | REAL(wp) :: sum2 !: |
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| 141 | REAL(wp) :: sum3 !: |
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| 142 | REAL(wp) :: u_int !: |
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| 143 | REAL(wp) :: u_int_l !: |
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| 144 | REAL(wp) :: u_int_u !: |
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| 145 | REAL(wp) :: v_int !: |
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| 146 | REAL(wp) :: v_int_l !: |
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| 147 | REAL(wp) :: v_int_u !: |
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| 148 | REAL(wp) :: w_int !: |
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| 149 | REAL(wp) :: w_int_l !: |
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| 150 | REAL(wp) :: w_int_u !: |
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| 151 | REAL(wp) :: x !: |
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| 152 | REAL(wp) :: y !: |
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| 153 | |
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| 154 | REAL(wp), DIMENSION(:), ALLOCATABLE :: rad !: |
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| 155 | REAL(wp), DIMENSION(:), ALLOCATABLE :: weight !: |
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| 156 | |
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| 157 | |
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| 158 | TYPE(particle_type) :: tmp_particle !: |
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| 159 | |
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| 160 | |
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| 161 | |
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| 162 | CALL cpu_log( log_point_s(43), 'lpm_droplet_coll', 'start' ) |
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| 163 | |
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| 164 | DO i = nxl, nxr |
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| 165 | DO j = nys, nyn |
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| 166 | DO k = nzb+1, nzt |
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| 167 | ! |
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| 168 | !-- Collision requires at least two particles in the box |
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| 169 | IF ( prt_count(k,j,i) > 1 ) THEN |
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| 170 | ! |
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| 171 | !-- First, sort particles within the gridbox by their size, |
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| 172 | !-- using Shell's method (see Numerical Recipes) |
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| 173 | !-- NOTE: In case of using particle tails, the re-sorting of |
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| 174 | !-- ---- tails would have to be included here! |
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| 175 | psi = prt_start_index(k,j,i) - 1 |
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| 176 | inc = 1 |
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| 177 | DO WHILE ( inc <= prt_count(k,j,i) ) |
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| 178 | inc = 3 * inc + 1 |
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| 179 | ENDDO |
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| 180 | |
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| 181 | DO WHILE ( inc > 1 ) |
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| 182 | inc = inc / 3 |
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| 183 | DO is = inc+1, prt_count(k,j,i) |
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| 184 | tmp_particle = particles(psi+is) |
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| 185 | js = is |
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| 186 | DO WHILE ( particles(psi+js-inc)%radius > & |
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| 187 | tmp_particle%radius ) |
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| 188 | particles(psi+js) = particles(psi+js-inc) |
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| 189 | js = js - inc |
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| 190 | IF ( js <= inc ) EXIT |
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| 191 | ENDDO |
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| 192 | particles(psi+js) = tmp_particle |
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| 193 | ENDDO |
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| 194 | ENDDO |
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| 195 | |
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| 196 | psi = prt_start_index(k,j,i) |
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| 197 | pse = psi + prt_count(k,j,i)-1 |
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| 198 | |
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| 199 | ! |
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| 200 | !-- Now apply the different kernels |
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| 201 | IF ( ( hall_kernel .OR. wang_kernel ) .AND. & |
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| 202 | use_kernel_tables ) THEN |
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| 203 | ! |
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| 204 | !-- Fast method with pre-calculated efficiencies for |
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| 205 | !-- discrete radius- and dissipation-classes. |
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| 206 | ! |
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| 207 | !-- Determine dissipation class index of this gridbox |
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| 208 | IF ( wang_kernel ) THEN |
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| 209 | eclass = INT( diss(k,j,i) * 1.0E4 / 1000.0 * & |
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| 210 | dissipation_classes ) + 1 |
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| 211 | epsilon = diss(k,j,i) |
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| 212 | ELSE |
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| 213 | epsilon = 0.0 |
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| 214 | ENDIF |
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| 215 | IF ( hall_kernel .OR. epsilon * 1.0E4 < 0.001 ) THEN |
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| 216 | eclass = 0 ! Hall kernel is used |
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| 217 | ELSE |
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| 218 | eclass = MIN( dissipation_classes, eclass ) |
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| 219 | ENDIF |
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| 220 | |
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| 221 | ! |
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| 222 | !-- Droplet collision are calculated using collision-coalescence |
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| 223 | !-- formulation proposed by Wang (see PALM documentation) |
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| 224 | !-- Since new radii after collision are defined by radii of all |
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| 225 | !-- droplets before collision, temporary fields for new radii and |
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| 226 | !-- weighting factors are needed |
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| 227 | ALLOCATE(rad(1:prt_count(k,j,i)), weight(1:prt_count(k,j,i))) |
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| 228 | |
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| 229 | rad = 0.0 |
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| 230 | weight = 0.0 |
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| 231 | |
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| 232 | DO n = psi, pse, 1 |
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| 233 | |
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| 234 | sum1 = 0.0 |
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| 235 | sum2 = 0.0 |
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| 236 | sum3 = 0.0 |
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| 237 | |
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| 238 | rclass_l = particles(n)%class |
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| 239 | ! |
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| 240 | !-- Mass added due to collisions with smaller droplets |
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| 241 | DO is = psi, n-1 |
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| 242 | |
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| 243 | rclass_s = particles(is)%class |
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| 244 | sum1 = sum1 + ( particles(is)%radius**3 * & |
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| 245 | ckernel(rclass_l,rclass_s,eclass) * & |
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| 246 | particles(is)%weight_factor ) |
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| 247 | |
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| 248 | ENDDO |
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| 249 | ! |
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| 250 | !-- Rate of collisions with larger droplets |
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| 251 | DO is = n+1, pse |
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| 252 | |
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| 253 | rclass_s = particles(is)%class |
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| 254 | sum2 = sum2 + ( ckernel(rclass_l,rclass_s,eclass) * & |
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| 255 | particles(is)%weight_factor ) |
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| 256 | |
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| 257 | ENDDO |
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| 258 | |
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| 259 | r3 = particles(n)%radius**3 |
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| 260 | ddV = ddx * ddy / dz |
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| 261 | is = prt_start_index(k,j,i) |
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| 262 | ! |
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| 263 | !-- Change of the current weighting factor |
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| 264 | sum3 = 1 - dt_3d * ddV * & |
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| 265 | ckernel(rclass_l,rclass_l,eclass) * & |
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| 266 | ( particles(n)%weight_factor - 1 ) * 0.5 - & |
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| 267 | dt_3d * ddV * sum2 |
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| 268 | weight(n-is+1) = particles(n)%weight_factor * sum3 |
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| 269 | ! |
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| 270 | !-- Change of the current droplet radius |
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| 271 | rad(n-is+1) = ( (r3 + dt_3d * ddV * (sum1 - sum2 * r3) )/& |
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| 272 | sum3 )**0.33333333333333 |
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| 273 | |
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| 274 | IF ( weight(n-is+1) < 0.0 ) THEN |
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| 275 | WRITE( message_string, * ) 'negative weighting', & |
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| 276 | 'factor: ', weight(n-is+1) |
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| 277 | CALL message( 'lpm_droplet_collision', 'PA0028', & |
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| 278 | 2, 2, -1, 6, 1 ) |
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| 279 | ENDIF |
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| 280 | |
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| 281 | ql_vp(k,j,i) = ql_vp(k,j,i) + weight(n-is+1) & |
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| 282 | * rad(n-is+1)**3 |
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| 283 | |
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| 284 | ENDDO |
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| 285 | |
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| 286 | particles(psi:pse)%radius = rad(1:prt_count(k,j,i)) |
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| 287 | particles(psi:pse)%weight_factor = weight(1:prt_count(k,j,i)) |
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| 288 | |
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| 289 | DEALLOCATE(rad, weight) |
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| 290 | |
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| 291 | ELSEIF ( ( hall_kernel .OR. wang_kernel ) .AND. & |
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| 292 | .NOT. use_kernel_tables ) THEN |
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| 293 | ! |
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| 294 | !-- Collision efficiencies are calculated for every new |
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| 295 | !-- grid box. First, allocate memory for kernel table. |
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| 296 | !-- Third dimension is 1, because table is re-calculated for |
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| 297 | !-- every new dissipation value. |
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| 298 | ALLOCATE( ckernel(prt_start_index(k,j,i): & |
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| 299 | prt_start_index(k,j,i)+prt_count(k,j,i)-1, & |
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| 300 | prt_start_index(k,j,i): & |
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| 301 | prt_start_index(k,j,i)+prt_count(k,j,i)-1,1:1) ) |
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| 302 | ! |
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| 303 | !-- Now calculate collision efficiencies for this box |
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| 304 | CALL recalculate_kernel( i, j, k ) |
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| 305 | |
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| 306 | ! |
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| 307 | !-- Droplet collision are calculated using collision-coalescence |
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| 308 | !-- formulation proposed by Wang (see PALM documentation) |
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| 309 | !-- Since new radii after collision are defined by radii of all |
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| 310 | !-- droplets before collision, temporary fields for new radii and |
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| 311 | !-- weighting factors are needed |
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| 312 | ALLOCATE(rad(1:prt_count(k,j,i)), weight(1:prt_count(k,j,i))) |
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| 313 | |
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| 314 | rad = 0.0 |
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| 315 | weight = 0.0 |
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| 316 | |
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| 317 | DO n = psi, pse, 1 |
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| 318 | |
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| 319 | sum1 = 0.0 |
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| 320 | sum2 = 0.0 |
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| 321 | sum3 = 0.0 |
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| 322 | ! |
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| 323 | !-- Mass added due to collisions with smaller droplets |
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| 324 | DO is = psi, n-1 |
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| 325 | sum1 = sum1 + ( particles(is)%radius**3 * & |
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| 326 | ckernel(n,is,1) * & |
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| 327 | particles(is)%weight_factor ) |
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| 328 | ENDDO |
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| 329 | ! |
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| 330 | !-- Rate of collisions with larger droplets |
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| 331 | DO is = n+1, pse |
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| 332 | sum2 = sum2 + ( ckernel(n,is,1) * & |
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| 333 | particles(is)%weight_factor ) |
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| 334 | ENDDO |
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| 335 | |
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| 336 | r3 = particles(n)%radius**3 |
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| 337 | ddV = ddx * ddy / dz |
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| 338 | is = prt_start_index(k,j,i) |
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| 339 | ! |
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| 340 | !-- Change of the current weighting factor |
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| 341 | sum3 = 1 - dt_3d * ddV * & |
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| 342 | ckernel(n,n,1) * & |
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| 343 | ( particles(n)%weight_factor - 1 ) * 0.5 - & |
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| 344 | dt_3d * ddV * sum2 |
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| 345 | weight(n-is+1) = particles(n)%weight_factor * sum3 |
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| 346 | ! |
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| 347 | !-- Change of the current droplet radius |
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| 348 | rad(n-is+1) = ( (r3 + dt_3d * ddV * (sum1 - sum2 * r3) )/& |
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| 349 | sum3 )**0.33333333333333 |
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| 350 | |
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| 351 | IF ( weight(n-is+1) < 0.0 ) THEN |
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| 352 | WRITE( message_string, * ) 'negative weighting', & |
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| 353 | 'factor: ', weight(n-is+1) |
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| 354 | CALL message( 'lpm_droplet_collision', 'PA0037', & |
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| 355 | 2, 2, -1, 6, 1 ) |
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| 356 | ENDIF |
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| 357 | |
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| 358 | ql_vp(k,j,i) = ql_vp(k,j,i) + weight(n-is+1) & |
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| 359 | * rad(n-is+1)**3 |
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| 360 | |
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| 361 | ENDDO |
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| 362 | |
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| 363 | particles(psi:pse)%radius = rad(1:prt_count(k,j,i)) |
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| 364 | particles(psi:pse)%weight_factor = weight(1:prt_count(k,j,i)) |
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| 365 | |
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| 366 | DEALLOCATE( rad, weight, ckernel ) |
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| 367 | |
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| 368 | ELSEIF ( palm_kernel ) THEN |
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| 369 | ! |
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| 370 | !-- PALM collision kernel |
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| 371 | ! |
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| 372 | !-- Calculate the mean radius of all those particles which |
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| 373 | !-- are of smaller size than the current particle and |
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| 374 | !-- use this radius for calculating the collision efficiency |
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| 375 | DO n = psi+prt_count(k,j,i)-1, psi+1, -1 |
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| 376 | |
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| 377 | sl_r3 = 0.0 |
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| 378 | sl_r4 = 0.0 |
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| 379 | |
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| 380 | DO is = n-1, psi, -1 |
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| 381 | IF ( particles(is)%radius < particles(n)%radius ) & |
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| 382 | THEN |
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| 383 | sl_r3 = sl_r3 + particles(is)%weight_factor & |
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| 384 | * particles(is)%radius**3 |
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| 385 | sl_r4 = sl_r4 + particles(is)%weight_factor & |
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| 386 | * particles(is)%radius**4 |
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| 387 | ENDIF |
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| 388 | ENDDO |
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| 389 | |
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| 390 | IF ( ( sl_r3 ) > 0.0 ) THEN |
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| 391 | mean_r = ( sl_r4 ) / ( sl_r3 ) |
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| 392 | |
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| 393 | CALL collision_efficiency_rogers( mean_r, & |
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| 394 | particles(n)%radius, & |
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| 395 | effective_coll_efficiency ) |
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| 396 | |
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| 397 | ELSE |
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| 398 | effective_coll_efficiency = 0.0 |
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| 399 | ENDIF |
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| 400 | |
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| 401 | IF ( effective_coll_efficiency > 1.0 .OR. & |
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| 402 | effective_coll_efficiency < 0.0 ) & |
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| 403 | THEN |
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| 404 | WRITE( message_string, * ) 'collision_efficien' , & |
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| 405 | 'cy out of range:' ,effective_coll_efficiency |
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| 406 | CALL message( 'lpm_droplet_collision', 'PA0145', 2, & |
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| 407 | 2, -1, 6, 1 ) |
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| 408 | ENDIF |
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| 409 | |
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| 410 | ! |
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| 411 | !-- Interpolation of ... |
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| 412 | ii = particles(n)%x * ddx |
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| 413 | jj = particles(n)%y * ddy |
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| 414 | kk = ( particles(n)%z + 0.5 * dz ) / dz |
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| 415 | |
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| 416 | x = particles(n)%x - ii * dx |
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| 417 | y = particles(n)%y - jj * dy |
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| 418 | aa = x**2 + y**2 |
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| 419 | bb = ( dx - x )**2 + y**2 |
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| 420 | cc = x**2 + ( dy - y )**2 |
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| 421 | dd = ( dx - x )**2 + ( dy - y )**2 |
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| 422 | gg = aa + bb + cc + dd |
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| 423 | |
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| 424 | ql_int_l = ( (gg-aa) * ql(kk,jj,ii) + (gg-bb) * & |
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| 425 | ql(kk,jj,ii+1) & |
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| 426 | + (gg-cc) * ql(kk,jj+1,ii) + ( gg-dd ) * & |
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| 427 | ql(kk,jj+1,ii+1) & |
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| 428 | ) / ( 3.0 * gg ) |
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| 429 | |
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| 430 | ql_int_u = ( (gg-aa) * ql(kk+1,jj,ii) + (gg-bb) * & |
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| 431 | ql(kk+1,jj,ii+1) & |
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| 432 | + (gg-cc) * ql(kk+1,jj+1,ii) + (gg-dd) * & |
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| 433 | ql(kk+1,jj+1,ii+1) & |
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| 434 | ) / ( 3.0 * gg ) |
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| 435 | |
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| 436 | ql_int = ql_int_l + ( particles(n)%z - zu(kk) ) / dz *& |
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| 437 | ( ql_int_u - ql_int_l ) |
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| 438 | |
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| 439 | ! |
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| 440 | !-- Interpolate u velocity-component |
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| 441 | ii = ( particles(n)%x + 0.5 * dx ) * ddx |
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| 442 | jj = particles(n)%y * ddy |
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| 443 | kk = ( particles(n)%z + 0.5 * dz ) / dz ! only if eqist |
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| 444 | |
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| 445 | IF ( ( particles(n)%z - zu(kk) ) > (0.5*dz) ) kk = kk+1 |
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| 446 | |
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| 447 | x = particles(n)%x + ( 0.5 - ii ) * dx |
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| 448 | y = particles(n)%y - jj * dy |
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| 449 | aa = x**2 + y**2 |
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| 450 | bb = ( dx - x )**2 + y**2 |
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| 451 | cc = x**2 + ( dy - y )**2 |
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| 452 | dd = ( dx - x )**2 + ( dy - y )**2 |
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| 453 | gg = aa + bb + cc + dd |
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| 454 | |
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| 455 | u_int_l = ( (gg-aa) * u(kk,jj,ii) + (gg-bb) * & |
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| 456 | u(kk,jj,ii+1) & |
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| 457 | + (gg-cc) * u(kk,jj+1,ii) + (gg-dd) * & |
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| 458 | u(kk,jj+1,ii+1) & |
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| 459 | ) / ( 3.0 * gg ) - u_gtrans |
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| 460 | IF ( kk+1 == nzt+1 ) THEN |
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| 461 | u_int = u_int_l |
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| 462 | ELSE |
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| 463 | u_int_u = ( (gg-aa) * u(kk+1,jj,ii) + (gg-bb) * & |
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| 464 | u(kk+1,jj,ii+1) & |
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| 465 | + (gg-cc) * u(kk+1,jj+1,ii) + (gg-dd) * & |
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| 466 | u(kk+1,jj+1,ii+1) & |
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| 467 | ) / ( 3.0 * gg ) - u_gtrans |
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| 468 | u_int = u_int_l + ( particles(n)%z - zu(kk) ) / dz & |
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| 469 | * ( u_int_u - u_int_l ) |
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| 470 | ENDIF |
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| 471 | |
|---|
| 472 | ! |
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| 473 | !-- Same procedure for interpolation of the v velocity-com- |
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| 474 | !-- ponent (adopt index k from u velocity-component) |
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| 475 | ii = particles(n)%x * ddx |
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| 476 | jj = ( particles(n)%y + 0.5 * dy ) * ddy |
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| 477 | |
|---|
| 478 | x = particles(n)%x - ii * dx |
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| 479 | y = particles(n)%y + ( 0.5 - jj ) * dy |
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| 480 | aa = x**2 + y**2 |
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| 481 | bb = ( dx - x )**2 + y**2 |
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| 482 | cc = x**2 + ( dy - y )**2 |
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| 483 | dd = ( dx - x )**2 + ( dy - y )**2 |
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| 484 | gg = aa + bb + cc + dd |
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| 485 | |
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| 486 | v_int_l = ( ( gg-aa ) * v(kk,jj,ii) + ( gg-bb ) * & |
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| 487 | v(kk,jj,ii+1) & |
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| 488 | + ( gg-cc ) * v(kk,jj+1,ii) + ( gg-dd ) * & |
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| 489 | v(kk,jj+1,ii+1) & |
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| 490 | ) / ( 3.0 * gg ) - v_gtrans |
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| 491 | IF ( kk+1 == nzt+1 ) THEN |
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| 492 | v_int = v_int_l |
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| 493 | ELSE |
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| 494 | v_int_u = ( (gg-aa) * v(kk+1,jj,ii) + (gg-bb) * & |
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| 495 | v(kk+1,jj,ii+1) & |
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| 496 | + (gg-cc) * v(kk+1,jj+1,ii) + (gg-dd) * & |
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| 497 | v(kk+1,jj+1,ii+1) & |
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| 498 | ) / ( 3.0 * gg ) - v_gtrans |
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| 499 | v_int = v_int_l + ( particles(n)%z - zu(kk) ) / dz & |
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| 500 | * ( v_int_u - v_int_l ) |
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| 501 | ENDIF |
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| 502 | |
|---|
| 503 | ! |
|---|
| 504 | !-- Same procedure for interpolation of the w velocity-com- |
|---|
| 505 | !-- ponent (adopt index i from v velocity-component) |
|---|
| 506 | jj = particles(n)%y * ddy |
|---|
| 507 | kk = particles(n)%z / dz |
|---|
| 508 | |
|---|
| 509 | x = particles(n)%x - ii * dx |
|---|
| 510 | y = particles(n)%y - jj * dy |
|---|
| 511 | aa = x**2 + y**2 |
|---|
| 512 | bb = ( dx - x )**2 + y**2 |
|---|
| 513 | cc = x**2 + ( dy - y )**2 |
|---|
| 514 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 515 | gg = aa + bb + cc + dd |
|---|
| 516 | |
|---|
| 517 | w_int_l = ( ( gg-aa ) * w(kk,jj,ii) + ( gg-bb ) * & |
|---|
| 518 | w(kk,jj,ii+1) & |
|---|
| 519 | + ( gg-cc ) * w(kk,jj+1,ii) + ( gg-dd ) * & |
|---|
| 520 | w(kk,jj+1,ii+1) & |
|---|
| 521 | ) / ( 3.0 * gg ) |
|---|
| 522 | IF ( kk+1 == nzt+1 ) THEN |
|---|
| 523 | w_int = w_int_l |
|---|
| 524 | ELSE |
|---|
| 525 | w_int_u = ( (gg-aa) * w(kk+1,jj,ii) + (gg-bb) * & |
|---|
| 526 | w(kk+1,jj,ii+1) & |
|---|
| 527 | + (gg-cc) * w(kk+1,jj+1,ii) + (gg-dd) * & |
|---|
| 528 | w(kk+1,jj+1,ii+1) & |
|---|
| 529 | ) / ( 3.0 * gg ) |
|---|
| 530 | w_int = w_int_l + ( particles(n)%z - zw(kk) ) / dz & |
|---|
| 531 | * ( w_int_u - w_int_l ) |
|---|
| 532 | ENDIF |
|---|
| 533 | |
|---|
| 534 | ! |
|---|
| 535 | !-- Change in radius due to collision |
|---|
| 536 | delta_r = effective_coll_efficiency / 3.0 & |
|---|
| 537 | * pi * sl_r3 * ddx * ddy / dz & |
|---|
| 538 | * SQRT( ( u_int - particles(n)%speed_x )**2 & |
|---|
| 539 | + ( v_int - particles(n)%speed_y )**2 & |
|---|
| 540 | + ( w_int - particles(n)%speed_z )**2 & |
|---|
| 541 | ) * dt_3d |
|---|
| 542 | ! |
|---|
| 543 | !-- Change in volume due to collision |
|---|
| 544 | delta_v = particles(n)%weight_factor & |
|---|
| 545 | * ( ( particles(n)%radius + delta_r )**3 & |
|---|
| 546 | - particles(n)%radius**3 ) |
|---|
| 547 | |
|---|
| 548 | ! |
|---|
| 549 | !-- Check if collected particles provide enough LWC for |
|---|
| 550 | !-- volume change of collector particle |
|---|
| 551 | IF ( delta_v >= sl_r3 .AND. sl_r3 > 0.0 ) THEN |
|---|
| 552 | |
|---|
| 553 | delta_r = ( ( sl_r3/particles(n)%weight_factor ) & |
|---|
| 554 | + particles(n)%radius**3 )**( 1./3. ) & |
|---|
| 555 | - particles(n)%radius |
|---|
| 556 | |
|---|
| 557 | DO is = n-1, psi, -1 |
|---|
| 558 | IF ( particles(is)%radius < & |
|---|
| 559 | particles(n)%radius ) THEN |
|---|
| 560 | particles(is)%weight_factor = 0.0 |
|---|
| 561 | particle_mask(is) = .FALSE. |
|---|
| 562 | deleted_particles = deleted_particles + 1 |
|---|
| 563 | ENDIF |
|---|
| 564 | ENDDO |
|---|
| 565 | |
|---|
| 566 | ELSE IF ( delta_v < sl_r3 .AND. sl_r3 > 0.0 ) THEN |
|---|
| 567 | |
|---|
| 568 | DO is = n-1, psi, -1 |
|---|
| 569 | IF ( particles(is)%radius < particles(n)%radius & |
|---|
| 570 | .AND. sl_r3 > 0.0 ) THEN |
|---|
| 571 | particles(is)%weight_factor = & |
|---|
| 572 | ( ( particles(is)%weight_factor & |
|---|
| 573 | * ( particles(is)%radius**3 ) ) & |
|---|
| 574 | - ( delta_v & |
|---|
| 575 | * particles(is)%weight_factor & |
|---|
| 576 | * ( particles(is)%radius**3 ) & |
|---|
| 577 | / sl_r3 ) ) & |
|---|
| 578 | / ( particles(is)%radius**3 ) |
|---|
| 579 | |
|---|
| 580 | IF ( particles(is)%weight_factor < 0.0 ) THEN |
|---|
| 581 | WRITE( message_string, * ) 'negative ', & |
|---|
| 582 | 'weighting factor: ', & |
|---|
| 583 | particles(is)%weight_factor |
|---|
| 584 | CALL message( 'lpm_droplet_collision', & |
|---|
| 585 | 'PA0039', & |
|---|
| 586 | 2, 2, -1, 6, 1 ) |
|---|
| 587 | ENDIF |
|---|
| 588 | ENDIF |
|---|
| 589 | ENDDO |
|---|
| 590 | |
|---|
| 591 | ENDIF |
|---|
| 592 | |
|---|
| 593 | particles(n)%radius = particles(n)%radius + delta_r |
|---|
| 594 | ql_vp(k,j,i) = ql_vp(k,j,i) + & |
|---|
| 595 | particles(n)%weight_factor * & |
|---|
| 596 | ( particles(n)%radius**3 ) |
|---|
| 597 | ENDDO |
|---|
| 598 | |
|---|
| 599 | ql_vp(k,j,i) = ql_vp(k,j,i) + particles(psi)%weight_factor & |
|---|
| 600 | * particles(psi)%radius**3 |
|---|
| 601 | |
|---|
| 602 | ENDIF ! collision kernel |
|---|
| 603 | |
|---|
| 604 | ELSE IF ( prt_count(k,j,i) == 1 ) THEN |
|---|
| 605 | |
|---|
| 606 | psi = prt_start_index(k,j,i) |
|---|
| 607 | |
|---|
| 608 | ! |
|---|
| 609 | !-- Calculate change of weighting factor due to self collision |
|---|
| 610 | IF ( ( hall_kernel .OR. wang_kernel ) .AND. & |
|---|
| 611 | use_kernel_tables ) THEN |
|---|
| 612 | |
|---|
| 613 | IF ( wang_kernel ) THEN |
|---|
| 614 | eclass = INT( diss(k,j,i) * 1.0E4 / 1000.0 * & |
|---|
| 615 | dissipation_classes ) + 1 |
|---|
| 616 | epsilon = diss(k,j,i) |
|---|
| 617 | ELSE |
|---|
| 618 | epsilon = 0.0 |
|---|
| 619 | ENDIF |
|---|
| 620 | IF ( hall_kernel .OR. epsilon * 1.0E4 < 0.001 ) THEN |
|---|
| 621 | eclass = 0 ! Hall kernel is used |
|---|
| 622 | ELSE |
|---|
| 623 | eclass = MIN( dissipation_classes, eclass ) |
|---|
| 624 | ENDIF |
|---|
| 625 | |
|---|
| 626 | ddV = ddx * ddy / dz |
|---|
| 627 | rclass_l = particles(psi)%class |
|---|
| 628 | sum3 = 1 - dt_3d * ddV * & |
|---|
| 629 | ( ckernel(rclass_l,rclass_l,eclass) * & |
|---|
| 630 | ( particles(psi)%weight_factor-1 ) * 0.5 ) |
|---|
| 631 | |
|---|
| 632 | particles(psi)%radius = ( particles(psi)%radius**3 / & |
|---|
| 633 | sum3 )**0.33333333333333 |
|---|
| 634 | particles(psi)%weight_factor = particles(psi)%weight_factor & |
|---|
| 635 | * sum3 |
|---|
| 636 | |
|---|
| 637 | ELSE IF ( ( hall_kernel .OR. wang_kernel ) .AND. & |
|---|
| 638 | .NOT. use_kernel_tables ) THEN |
|---|
| 639 | ! |
|---|
| 640 | !-- Collision efficiencies are calculated for every new |
|---|
| 641 | !-- grid box. First, allocate memory for kernel table. |
|---|
| 642 | !-- Third dimension is 1, because table is re-calculated for |
|---|
| 643 | !-- every new dissipation value. |
|---|
| 644 | ALLOCATE( ckernel(psi:psi, psi:psi, 1:1) ) |
|---|
| 645 | ! |
|---|
| 646 | !-- Now calculate collision efficiencies for this box |
|---|
| 647 | CALL recalculate_kernel( i, j, k ) |
|---|
| 648 | |
|---|
| 649 | ddV = ddx * ddy / dz |
|---|
| 650 | sum3 = 1 - dt_3d * ddV * ( ckernel(psi,psi,1) * & |
|---|
| 651 | ( particles(psi)%weight_factor - 1 ) * 0.5 ) |
|---|
| 652 | |
|---|
| 653 | particles(psi)%radius = ( particles(psi)%radius**3 / & |
|---|
| 654 | sum3 )**0.33333333333333 |
|---|
| 655 | particles(psi)%weight_factor = particles(psi)%weight_factor & |
|---|
| 656 | * sum3 |
|---|
| 657 | |
|---|
| 658 | DEALLOCATE( ckernel ) |
|---|
| 659 | ENDIF |
|---|
| 660 | |
|---|
| 661 | ql_vp(k,j,i) = particles(psi)%weight_factor * & |
|---|
| 662 | particles(psi)%radius**3 |
|---|
| 663 | ENDIF |
|---|
| 664 | |
|---|
| 665 | ! |
|---|
| 666 | !-- Check if condensation of LWC was conserved during collision |
|---|
| 667 | !-- process |
|---|
| 668 | IF ( ql_v(k,j,i) /= 0.0 ) THEN |
|---|
| 669 | IF ( ql_vp(k,j,i) / ql_v(k,j,i) >= 1.0001 .OR. & |
|---|
| 670 | ql_vp(k,j,i) / ql_v(k,j,i) <= 0.9999 ) THEN |
|---|
| 671 | WRITE( message_string, * ) 'LWC is not conserved during',& |
|---|
| 672 | ' collision! ', & |
|---|
| 673 | 'LWC after condensation: ', & |
|---|
| 674 | ql_v(k,j,i), & |
|---|
| 675 | ' LWC after collision: ', & |
|---|
| 676 | ql_vp(k,j,i) |
|---|
| 677 | CALL message( 'lpm_droplet_collision', 'PA0040', & |
|---|
| 678 | 2, 2, -1, 6, 1 ) |
|---|
| 679 | ENDIF |
|---|
| 680 | ENDIF |
|---|
| 681 | |
|---|
| 682 | ENDDO |
|---|
| 683 | ENDDO |
|---|
| 684 | ENDDO |
|---|
| 685 | |
|---|
| 686 | CALL cpu_log( log_point_s(43), 'lpm_droplet_coll', 'stop' ) |
|---|
| 687 | |
|---|
| 688 | |
|---|
| 689 | END SUBROUTINE lpm_droplet_collision |
|---|
