| 1 | !> @file lpm_advec.f90 |
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| 2 | !------------------------------------------------------------------------------! |
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| 3 | ! This file is part of PALM. |
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| 4 | ! |
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| 5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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| 6 | ! terms of the GNU General Public License as published by the Free Software |
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| 7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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| 8 | ! 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 1997-2017 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_advec.f90 2630 2017-11-20 12:58:20Z Giersch $ |
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| 27 | ! Removed indices ilog and jlog which are no longer needed since particle box |
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| 28 | ! locations are identical to scalar boxes and topography. |
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| 29 | ! |
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| 30 | ! 2628 2017-11-20 12:40:38Z raasch |
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| 31 | ! bugfix in logarithmic interpolation of v-component (usws was used by mistake) |
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| 32 | ! |
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| 33 | ! 2606 2017-11-10 10:36:31Z schwenkel |
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| 34 | ! Changed particle box locations: center of particle box now coincides |
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| 35 | ! with scalar grid point of same index. |
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| 36 | ! Renamed module and subroutines: lpm_pack_arrays_mod -> lpm_pack_and_sort_mod |
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| 37 | ! lpm_pack_all_arrays -> lpm_sort_in_subboxes, lpm_pack_arrays -> lpm_pack |
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| 38 | ! lpm_sort -> lpm_sort_timeloop_done |
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| 39 | ! |
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| 40 | ! 2417 2017-09-06 15:22:27Z suehring |
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| 41 | ! Particle loops adapted for sub-box structure, i.e. for each sub-box the |
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| 42 | ! particle loop runs from start_index up to end_index instead from 1 to |
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| 43 | ! number_of_particles. This way, it is possible to skip unnecessary |
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| 44 | ! computations for particles that already completed the LES timestep. |
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| 45 | ! |
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| 46 | ! 2318 2017-07-20 17:27:44Z suehring |
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| 47 | ! Get topography top index via Function call |
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| 48 | ! |
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| 49 | ! 2317 2017-07-20 17:27:19Z suehring |
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| 50 | ! |
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| 51 | ! 2232 2017-05-30 17:47:52Z suehring |
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| 52 | ! Adjustments to new topography and surface concept |
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| 53 | ! |
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| 54 | ! 2100 2017-01-05 16:40:16Z suehring |
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| 55 | ! Prevent extremely large SGS-velocities in regions where TKE is zero, e.g. |
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| 56 | ! at the begin of simulations and/or in non-turbulent regions. |
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| 57 | ! |
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| 58 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 59 | ! Forced header and separation lines into 80 columns |
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| 60 | ! |
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| 61 | ! 1936 2016-06-13 13:37:44Z suehring |
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| 62 | ! Formatting adjustments |
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| 63 | ! |
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| 64 | ! 1929 2016-06-09 16:25:25Z suehring |
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| 65 | ! Put stochastic equation in an extra subroutine. |
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| 66 | ! Set flag for stochastic equation to communicate whether a particle is near |
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| 67 | ! topography. This case, memory and drift term are disabled in the Weil equation. |
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| 68 | ! |
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| 69 | ! Enable vertical logarithmic interpolation also above topography. This case, |
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| 70 | ! set a lower limit for the friction velocity, as it can become very small |
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| 71 | ! in narrow street canyons, leading to too large particle speeds. |
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| 72 | ! |
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| 73 | ! 1888 2016-04-21 12:20:49Z suehring |
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| 74 | ! Bugfix concerning logarithmic interpolation of particle speed |
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| 75 | ! |
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| 76 | ! 1822 2016-04-07 07:49:42Z hoffmann |
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| 77 | ! Random velocity fluctuations for particles added. Terminal fall velocity |
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| 78 | ! for droplets is calculated from a parameterization (which is better than |
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| 79 | ! the previous, physically correct calculation, which demands a very short |
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| 80 | ! time step that is not used in the model). |
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| 81 | ! |
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| 82 | ! Unused variables deleted. |
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| 83 | ! |
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| 84 | ! 1691 2015-10-26 16:17:44Z maronga |
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| 85 | ! Renamed prandtl_layer to constant_flux_layer. |
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| 86 | ! |
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| 87 | ! 1685 2015-10-08 07:32:13Z raasch |
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| 88 | ! TKE check for negative values (so far, only zero value was checked) |
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| 89 | ! offset_ocean_nzt_m1 removed |
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| 90 | ! |
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| 91 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 92 | ! Code annotations made doxygen readable |
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| 93 | ! |
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| 94 | ! 1583 2015-04-15 12:16:27Z suehring |
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| 95 | ! Bugfix: particle advection within Prandtl-layer in case of Galilei |
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| 96 | ! transformation. |
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| 97 | ! |
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| 98 | ! 1369 2014-04-24 05:57:38Z raasch |
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| 99 | ! usage of module interfaces removed |
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| 100 | ! |
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| 101 | ! 1359 2014-04-11 17:15:14Z hoffmann |
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| 102 | ! New particle structure integrated. |
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| 103 | ! Kind definition added to all floating point numbers. |
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| 104 | ! |
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| 105 | ! 1322 2014-03-20 16:38:49Z raasch |
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| 106 | ! REAL constants defined as wp_kind |
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| 107 | ! |
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| 108 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 109 | ! ONLY-attribute added to USE-statements, |
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| 110 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 111 | ! kinds are defined in new module kinds, |
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| 112 | ! revision history before 2012 removed, |
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| 113 | ! comment fields (!:) to be used for variable explanations added to |
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| 114 | ! all variable declaration statements |
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| 115 | ! |
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| 116 | ! 1314 2014-03-14 18:25:17Z suehring |
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| 117 | ! Vertical logarithmic interpolation of horizontal particle speed for particles |
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| 118 | ! between roughness height and first vertical grid level. |
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| 119 | ! |
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| 120 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 121 | ! code put under GPL (PALM 3.9) |
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| 122 | ! |
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| 123 | ! 849 2012-03-15 10:35:09Z raasch |
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| 124 | ! initial revision (former part of advec_particles) |
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| 125 | ! |
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| 126 | ! |
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| 127 | ! Description: |
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| 128 | ! ------------ |
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| 129 | !> Calculation of new particle positions due to advection using a simple Euler |
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| 130 | !> scheme. Particles may feel inertia effects. SGS transport can be included |
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| 131 | !> using the stochastic model of Weil et al. (2004, JAS, 61, 2877-2887). |
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| 132 | !------------------------------------------------------------------------------! |
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| 133 | SUBROUTINE lpm_advec (ip,jp,kp) |
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| 134 | |
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| 135 | |
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| 136 | USE arrays_3d, & |
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| 137 | ONLY: de_dx, de_dy, de_dz, diss, e, km, u, v, w, zu, zw |
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| 138 | |
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| 139 | USE cpulog |
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| 140 | |
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| 141 | USE pegrid |
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| 142 | |
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| 143 | USE control_parameters, & |
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| 144 | ONLY: atmos_ocean_sign, cloud_droplets, constant_flux_layer, dt_3d, & |
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| 145 | dt_3d_reached_l, dz, g, kappa, topography, u_gtrans, v_gtrans |
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| 146 | |
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| 147 | USE grid_variables, & |
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| 148 | ONLY: ddx, dx, ddy, dy |
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| 149 | |
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| 150 | USE indices, & |
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| 151 | ONLY: nzb, nzt |
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| 152 | |
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| 153 | USE kinds |
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| 154 | |
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| 155 | USE particle_attributes, & |
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| 156 | ONLY: block_offset, c_0, dt_min_part, grid_particles, & |
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| 157 | iran_part, log_z_z0, number_of_particles, number_of_sublayers, & |
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| 158 | particles, particle_groups, offset_ocean_nzt, sgs_wf_part, & |
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| 159 | use_sgs_for_particles, vertical_particle_advection, z0_av_global |
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| 160 | |
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| 161 | USE statistics, & |
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| 162 | ONLY: hom |
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| 163 | |
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| 164 | USE surface_mod, & |
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| 165 | ONLY: get_topography_top_index, surf_def_h, surf_lsm_h, surf_usm_h |
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| 166 | |
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| 167 | IMPLICIT NONE |
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| 168 | |
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| 169 | INTEGER(iwp) :: agp !< loop variable |
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| 170 | INTEGER(iwp) :: gp_outside_of_building(1:8) !< number of grid points used for particle interpolation in case of topography |
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| 171 | INTEGER(iwp) :: i !< index variable along x |
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| 172 | INTEGER(iwp) :: ip !< index variable along x |
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| 173 | INTEGER(iwp) :: j !< index variable along y |
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| 174 | INTEGER(iwp) :: jp !< index variable along y |
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| 175 | INTEGER(iwp) :: k !< index variable along z |
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| 176 | INTEGER(iwp) :: k_wall !< vertical index of topography top |
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| 177 | INTEGER(iwp) :: kp !< index variable along z |
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| 178 | INTEGER(iwp) :: kw !< index variable along z |
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| 179 | INTEGER(iwp) :: n !< loop variable over all particles in a grid box |
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| 180 | INTEGER(iwp) :: nb !< block number particles are sorted in |
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| 181 | INTEGER(iwp) :: num_gp !< number of adjacent grid points inside topography |
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| 182 | INTEGER(iwp) :: surf_start !< Index on surface data-type for current grid box |
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| 183 | |
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| 184 | INTEGER(iwp), DIMENSION(0:7) :: start_index !< start particle index for current block |
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| 185 | INTEGER(iwp), DIMENSION(0:7) :: end_index !< start particle index for current block |
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| 186 | |
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| 187 | REAL(wp) :: aa !< dummy argument for horizontal particle interpolation |
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| 188 | REAL(wp) :: bb !< dummy argument for horizontal particle interpolation |
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| 189 | REAL(wp) :: cc !< dummy argument for horizontal particle interpolation |
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| 190 | REAL(wp) :: d_sum !< dummy argument for horizontal particle interpolation in case of topography |
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| 191 | REAL(wp) :: d_z_p_z0 !< inverse of interpolation length for logarithmic interpolation |
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| 192 | REAL(wp) :: dd !< dummy argument for horizontal particle interpolation |
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| 193 | REAL(wp) :: de_dx_int_l !< x/y-interpolated TKE gradient (x) at particle position at lower vertical level |
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| 194 | REAL(wp) :: de_dx_int_u !< x/y-interpolated TKE gradient (x) at particle position at upper vertical level |
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| 195 | REAL(wp) :: de_dy_int_l !< x/y-interpolated TKE gradient (y) at particle position at lower vertical level |
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| 196 | REAL(wp) :: de_dy_int_u !< x/y-interpolated TKE gradient (y) at particle position at upper vertical level |
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| 197 | REAL(wp) :: de_dt !< temporal derivative of TKE experienced by the particle |
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| 198 | REAL(wp) :: de_dt_min !< lower level for temporal TKE derivative |
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| 199 | REAL(wp) :: de_dz_int_l !< x/y-interpolated TKE gradient (z) at particle position at lower vertical level |
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| 200 | REAL(wp) :: de_dz_int_u !< x/y-interpolated TKE gradient (z) at particle position at upper vertical level |
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| 201 | REAL(wp) :: diameter !< diamter of droplet |
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| 202 | REAL(wp) :: diss_int_l !< x/y-interpolated dissipation at particle position at lower vertical level |
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| 203 | REAL(wp) :: diss_int_u !< x/y-interpolated dissipation at particle position at upper vertical level |
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| 204 | REAL(wp) :: dt_gap !< remaining time until particle time integration reaches LES time |
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| 205 | REAL(wp) :: dt_particle_m !< previous particle time step |
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| 206 | REAL(wp) :: e_int_l !< x/y-interpolated TKE at particle position at lower vertical level |
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| 207 | REAL(wp) :: e_int_u !< x/y-interpolated TKE at particle position at upper vertical level |
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| 208 | REAL(wp) :: e_mean_int !< horizontal mean TKE at particle height |
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| 209 | REAL(wp) :: exp_arg !< |
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| 210 | REAL(wp) :: exp_term !< |
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| 211 | REAL(wp) :: gg !< dummy argument for horizontal particle interpolation |
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| 212 | REAL(wp) :: height_p !< dummy argument for logarithmic interpolation |
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| 213 | REAL(wp) :: lagr_timescale !< Lagrangian timescale |
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| 214 | REAL(wp) :: location(1:30,1:3) !< wall locations |
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| 215 | REAL(wp) :: log_z_z0_int !< logarithmus used for surface_layer interpolation |
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| 216 | REAL(wp) :: random_gauss !< |
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| 217 | REAL(wp) :: RL !< Lagrangian autocorrelation coefficient |
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| 218 | REAL(wp) :: rg1 !< Gaussian distributed random number |
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| 219 | REAL(wp) :: rg2 !< Gaussian distributed random number |
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| 220 | REAL(wp) :: rg3 !< Gaussian distributed random number |
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| 221 | REAL(wp) :: sigma !< velocity standard deviation |
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| 222 | REAL(wp) :: u_int_l !< x/y-interpolated u-component at particle position at lower vertical level |
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| 223 | REAL(wp) :: u_int_u !< x/y-interpolated u-component at particle position at upper vertical level |
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| 224 | REAL(wp) :: us_int !< friction velocity at particle grid box |
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| 225 | REAL(wp) :: usws_int !< surface momentum flux (u component) at particle grid box |
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| 226 | REAL(wp) :: v_int_l !< x/y-interpolated v-component at particle position at lower vertical level |
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| 227 | REAL(wp) :: v_int_u !< x/y-interpolated v-component at particle position at upper vertical level |
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| 228 | REAL(wp) :: vsws_int !< surface momentum flux (u component) at particle grid box |
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| 229 | REAL(wp) :: vv_int !< |
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| 230 | REAL(wp) :: w_int_l !< x/y-interpolated w-component at particle position at lower vertical level |
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| 231 | REAL(wp) :: w_int_u !< x/y-interpolated w-component at particle position at upper vertical level |
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| 232 | REAL(wp) :: w_s !< terminal velocity of droplets |
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| 233 | REAL(wp) :: x !< dummy argument for horizontal particle interpolation |
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| 234 | REAL(wp) :: y !< dummy argument for horizontal particle interpolation |
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| 235 | REAL(wp) :: z_p !< surface layer height (0.5 dz) |
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| 236 | |
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| 237 | REAL(wp), PARAMETER :: a_rog = 9.65_wp !< parameter for fall velocity |
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| 238 | REAL(wp), PARAMETER :: b_rog = 10.43_wp !< parameter for fall velocity |
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| 239 | REAL(wp), PARAMETER :: c_rog = 0.6_wp !< parameter for fall velocity |
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| 240 | REAL(wp), PARAMETER :: k_cap_rog = 4.0_wp !< parameter for fall velocity |
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| 241 | REAL(wp), PARAMETER :: k_low_rog = 12.0_wp !< parameter for fall velocity |
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| 242 | REAL(wp), PARAMETER :: d0_rog = 0.745_wp !< separation diameter |
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| 243 | |
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| 244 | REAL(wp), DIMENSION(1:30) :: d_gp_pl !< dummy argument for particle interpolation scheme in case of topography |
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| 245 | REAL(wp), DIMENSION(1:30) :: de_dxi !< horizontal TKE gradient along x at adjacent wall |
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| 246 | REAL(wp), DIMENSION(1:30) :: de_dyi !< horizontal TKE gradient along y at adjacent wall |
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| 247 | REAL(wp), DIMENSION(1:30) :: de_dzi !< horizontal TKE gradient along z at adjacent wall |
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| 248 | REAL(wp), DIMENSION(1:30) :: dissi !< dissipation at adjacent wall |
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| 249 | REAL(wp), DIMENSION(1:30) :: ei !< TKE at adjacent wall |
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| 250 | |
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| 251 | REAL(wp), DIMENSION(number_of_particles) :: term_1_2 !< flag to communicate whether a particle is near topography or not |
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| 252 | REAL(wp), DIMENSION(number_of_particles) :: dens_ratio !< |
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| 253 | REAL(wp), DIMENSION(number_of_particles) :: de_dx_int !< horizontal TKE gradient along x at particle position |
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| 254 | REAL(wp), DIMENSION(number_of_particles) :: de_dy_int !< horizontal TKE gradient along y at particle position |
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| 255 | REAL(wp), DIMENSION(number_of_particles) :: de_dz_int !< horizontal TKE gradient along z at particle position |
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| 256 | REAL(wp), DIMENSION(number_of_particles) :: diss_int !< dissipation at particle position |
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| 257 | REAL(wp), DIMENSION(number_of_particles) :: dt_particle !< particle time step |
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| 258 | REAL(wp), DIMENSION(number_of_particles) :: e_int !< TKE at particle position |
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| 259 | REAL(wp), DIMENSION(number_of_particles) :: fs_int !< weighting factor for subgrid-scale particle speed |
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| 260 | REAL(wp), DIMENSION(number_of_particles) :: u_int !< u-component of particle speed |
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| 261 | REAL(wp), DIMENSION(number_of_particles) :: v_int !< v-component of particle speed |
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| 262 | REAL(wp), DIMENSION(number_of_particles) :: w_int !< w-component of particle speed |
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| 263 | REAL(wp), DIMENSION(number_of_particles) :: xv !< x-position |
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| 264 | REAL(wp), DIMENSION(number_of_particles) :: yv !< y-position |
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| 265 | REAL(wp), DIMENSION(number_of_particles) :: zv !< z-position |
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| 266 | |
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| 267 | REAL(wp), DIMENSION(number_of_particles, 3) :: rg !< vector of Gaussian distributed random numbers |
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| 268 | |
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| 269 | CALL cpu_log( log_point_s(44), 'lpm_advec', 'continue' ) |
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| 270 | |
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| 271 | ! |
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| 272 | !-- Determine height of Prandtl layer and distance between Prandtl-layer |
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| 273 | !-- height and horizontal mean roughness height, which are required for |
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| 274 | !-- vertical logarithmic interpolation of horizontal particle speeds |
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| 275 | !-- (for particles below first vertical grid level). |
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| 276 | z_p = zu(nzb+1) - zw(nzb) |
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| 277 | d_z_p_z0 = 1.0_wp / ( z_p - z0_av_global ) |
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| 278 | |
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| 279 | start_index = grid_particles(kp,jp,ip)%start_index |
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| 280 | end_index = grid_particles(kp,jp,ip)%end_index |
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| 281 | |
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| 282 | xv = particles(1:number_of_particles)%x |
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| 283 | yv = particles(1:number_of_particles)%y |
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| 284 | zv = particles(1:number_of_particles)%z |
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| 285 | |
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| 286 | DO nb = 0, 7 |
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| 287 | ! |
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| 288 | !-- Interpolate u velocity-component |
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| 289 | i = ip |
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| 290 | j = jp + block_offset(nb)%j_off |
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| 291 | k = kp + block_offset(nb)%k_off |
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| 292 | |
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| 293 | DO n = start_index(nb), end_index(nb) |
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| 294 | ! |
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| 295 | !-- Interpolation of the u velocity component onto particle position. |
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| 296 | !-- Particles are interpolation bi-linearly in the horizontal and a |
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| 297 | !-- linearly in the vertical. An exception is made for particles below |
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| 298 | !-- the first vertical grid level in case of a prandtl layer. In this |
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| 299 | !-- case the horizontal particle velocity components are determined using |
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| 300 | !-- Monin-Obukhov relations (if branch). |
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| 301 | !-- First, check if particle is located below first vertical grid level |
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| 302 | !-- above topography (Prandtl-layer height) |
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| 303 | !-- Determine vertical index of topography top |
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| 304 | k_wall = get_topography_top_index( jp, ip, 's' ) |
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| 305 | |
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| 306 | IF ( constant_flux_layer .AND. zv(n) - zw(k_wall) < z_p ) THEN |
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| 307 | ! |
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| 308 | !-- Resolved-scale horizontal particle velocity is zero below z0. |
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| 309 | IF ( zv(n) - zw(k_wall) < z0_av_global ) THEN |
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| 310 | u_int(n) = 0.0_wp |
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| 311 | ELSE |
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| 312 | ! |
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| 313 | !-- Determine the sublayer. Further used as index. |
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| 314 | height_p = ( zv(n) - zw(k_wall) - z0_av_global ) & |
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| 315 | * REAL( number_of_sublayers, KIND=wp ) & |
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| 316 | * d_z_p_z0 |
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| 317 | ! |
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| 318 | !-- Calculate LOG(z/z0) for exact particle height. Therefore, |
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| 319 | !-- interpolate linearly between precalculated logarithm. |
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| 320 | log_z_z0_int = log_z_z0(INT(height_p)) & |
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| 321 | + ( height_p - INT(height_p) ) & |
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| 322 | * ( log_z_z0(INT(height_p)+1) & |
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| 323 | - log_z_z0(INT(height_p)) & |
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| 324 | ) |
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| 325 | ! |
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| 326 | !-- Get friction velocity and momentum flux from new surface data |
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| 327 | !-- types. |
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| 328 | IF ( surf_def_h(0)%start_index(jp,ip) <= & |
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| 329 | surf_def_h(0)%end_index(jp,ip) ) THEN |
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| 330 | surf_start = surf_def_h(0)%start_index(jp,ip) |
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| 331 | !-- Limit friction velocity. In narrow canyons or holes the |
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| 332 | !-- friction velocity can become very small, resulting in a too |
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| 333 | !-- large particle speed. |
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| 334 | us_int = MAX( surf_def_h(0)%us(surf_start), 0.01_wp ) |
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| 335 | usws_int = surf_def_h(0)%usws(surf_start) |
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| 336 | ELSEIF ( surf_lsm_h%start_index(jp,ip) <= & |
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| 337 | surf_lsm_h%end_index(jp,ip) ) THEN |
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| 338 | surf_start = surf_lsm_h%start_index(jp,ip) |
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| 339 | us_int = MAX( surf_lsm_h%us(surf_start), 0.01_wp ) |
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| 340 | usws_int = surf_lsm_h%usws(surf_start) |
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| 341 | ELSEIF ( surf_usm_h%start_index(jp,ip) <= & |
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| 342 | surf_usm_h%end_index(jp,ip) ) THEN |
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| 343 | surf_start = surf_usm_h%start_index(jp,ip) |
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| 344 | us_int = MAX( surf_usm_h%us(surf_start), 0.01_wp ) |
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| 345 | usws_int = surf_usm_h%usws(surf_start) |
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| 346 | ENDIF |
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| 347 | |
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| 348 | ! |
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| 349 | !-- Neutral solution is applied for all situations, e.g. also for |
|---|
| 350 | !-- unstable and stable situations. Even though this is not exact |
|---|
| 351 | !-- this saves a lot of CPU time since several calls of intrinsic |
|---|
| 352 | !-- FORTRAN procedures (LOG, ATAN) are avoided, This is justified |
|---|
| 353 | !-- as sensitivity studies revealed no significant effect of |
|---|
| 354 | !-- using the neutral solution also for un/stable situations. |
|---|
| 355 | u_int(n) = -usws_int / ( us_int * kappa + 1E-10_wp ) & |
|---|
| 356 | * log_z_z0_int - u_gtrans |
|---|
| 357 | |
|---|
| 358 | ENDIF |
|---|
| 359 | ! |
|---|
| 360 | !-- Particle above the first grid level. Bi-linear interpolation in the |
|---|
| 361 | !-- horizontal and linear interpolation in the vertical direction. |
|---|
| 362 | ELSE |
|---|
| 363 | |
|---|
| 364 | x = xv(n) + ( 0.5_wp - i ) * dx |
|---|
| 365 | y = yv(n) - j * dy |
|---|
| 366 | aa = x**2 + y**2 |
|---|
| 367 | bb = ( dx - x )**2 + y**2 |
|---|
| 368 | cc = x**2 + ( dy - y )**2 |
|---|
| 369 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 370 | gg = aa + bb + cc + dd |
|---|
| 371 | |
|---|
| 372 | u_int_l = ( ( gg - aa ) * u(k,j,i) + ( gg - bb ) * u(k,j,i+1) & |
|---|
| 373 | + ( gg - cc ) * u(k,j+1,i) + ( gg - dd ) * & |
|---|
| 374 | u(k,j+1,i+1) ) / ( 3.0_wp * gg ) - u_gtrans |
|---|
| 375 | |
|---|
| 376 | IF ( k == nzt ) THEN |
|---|
| 377 | u_int(n) = u_int_l |
|---|
| 378 | ELSE |
|---|
| 379 | u_int_u = ( ( gg-aa ) * u(k+1,j,i) + ( gg-bb ) * u(k+1,j,i+1) & |
|---|
| 380 | + ( gg-cc ) * u(k+1,j+1,i) + ( gg-dd ) * & |
|---|
| 381 | u(k+1,j+1,i+1) ) / ( 3.0_wp * gg ) - u_gtrans |
|---|
| 382 | u_int(n) = u_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 383 | ( u_int_u - u_int_l ) |
|---|
| 384 | ENDIF |
|---|
| 385 | |
|---|
| 386 | ENDIF |
|---|
| 387 | |
|---|
| 388 | ENDDO |
|---|
| 389 | ! |
|---|
| 390 | !-- Same procedure for interpolation of the v velocity-component |
|---|
| 391 | i = ip + block_offset(nb)%i_off |
|---|
| 392 | j = jp |
|---|
| 393 | k = kp + block_offset(nb)%k_off |
|---|
| 394 | |
|---|
| 395 | DO n = start_index(nb), end_index(nb) |
|---|
| 396 | |
|---|
| 397 | ! |
|---|
| 398 | !-- Determine vertical index of topography top |
|---|
| 399 | k_wall = get_topography_top_index( jp,ip, 's' ) |
|---|
| 400 | |
|---|
| 401 | IF ( constant_flux_layer .AND. zv(n) - zw(k_wall) < z_p ) THEN |
|---|
| 402 | IF ( zv(n) - zw(k_wall) < z0_av_global ) THEN |
|---|
| 403 | ! |
|---|
| 404 | !-- Resolved-scale horizontal particle velocity is zero below z0. |
|---|
| 405 | v_int(n) = 0.0_wp |
|---|
| 406 | ELSE |
|---|
| 407 | ! |
|---|
| 408 | !-- Determine the sublayer. Further used as index. Please note, |
|---|
| 409 | !-- logarithmus can not be reused from above, as in in case of |
|---|
| 410 | !-- topography particle on u-grid can be above surface-layer height, |
|---|
| 411 | !-- whereas it can be below on v-grid. |
|---|
| 412 | height_p = ( zv(n) - zw(k_wall) - z0_av_global ) & |
|---|
| 413 | * REAL( number_of_sublayers, KIND=wp ) & |
|---|
| 414 | * d_z_p_z0 |
|---|
| 415 | ! |
|---|
| 416 | !-- Calculate LOG(z/z0) for exact particle height. Therefore, |
|---|
| 417 | !-- interpolate linearly between precalculated logarithm. |
|---|
| 418 | log_z_z0_int = log_z_z0(INT(height_p)) & |
|---|
| 419 | + ( height_p - INT(height_p) ) & |
|---|
| 420 | * ( log_z_z0(INT(height_p)+1) & |
|---|
| 421 | - log_z_z0(INT(height_p)) & |
|---|
| 422 | ) |
|---|
| 423 | ! |
|---|
| 424 | !-- Get friction velocity and momentum flux from new surface data |
|---|
| 425 | !-- types. |
|---|
| 426 | IF ( surf_def_h(0)%start_index(jp,ip) <= & |
|---|
| 427 | surf_def_h(0)%end_index(jp,ip) ) THEN |
|---|
| 428 | surf_start = surf_def_h(0)%start_index(jp,ip) |
|---|
| 429 | !-- Limit friction velocity. In narrow canyons or holes the |
|---|
| 430 | !-- friction velocity can become very small, resulting in a too |
|---|
| 431 | !-- large particle speed. |
|---|
| 432 | us_int = MAX( surf_def_h(0)%us(surf_start), 0.01_wp ) |
|---|
| 433 | vsws_int = surf_def_h(0)%vsws(surf_start) |
|---|
| 434 | ELSEIF ( surf_lsm_h%start_index(jp,ip) <= & |
|---|
| 435 | surf_lsm_h%end_index(jp,ip) ) THEN |
|---|
| 436 | surf_start = surf_lsm_h%start_index(jp,ip) |
|---|
| 437 | us_int = MAX( surf_lsm_h%us(surf_start), 0.01_wp ) |
|---|
| 438 | vsws_int = surf_lsm_h%vsws(surf_start) |
|---|
| 439 | ELSEIF ( surf_usm_h%start_index(jp,ip) <= & |
|---|
| 440 | surf_usm_h%end_index(jp,ip) ) THEN |
|---|
| 441 | surf_start = surf_usm_h%start_index(jp,ip) |
|---|
| 442 | us_int = MAX( surf_usm_h%us(surf_start), 0.01_wp ) |
|---|
| 443 | vsws_int = surf_usm_h%vsws(surf_start) |
|---|
| 444 | ENDIF |
|---|
| 445 | ! |
|---|
| 446 | !-- Neutral solution is applied for all situations, e.g. also for |
|---|
| 447 | !-- unstable and stable situations. Even though this is not exact |
|---|
| 448 | !-- this saves a lot of CPU time since several calls of intrinsic |
|---|
| 449 | !-- FORTRAN procedures (LOG, ATAN) are avoided, This is justified |
|---|
| 450 | !-- as sensitivity studies revealed no significant effect of |
|---|
| 451 | !-- using the neutral solution also for un/stable situations. |
|---|
| 452 | v_int(n) = -vsws_int / ( us_int * kappa + 1E-10_wp ) & |
|---|
| 453 | * log_z_z0_int - v_gtrans |
|---|
| 454 | |
|---|
| 455 | ENDIF |
|---|
| 456 | |
|---|
| 457 | ELSE |
|---|
| 458 | x = xv(n) - i * dx |
|---|
| 459 | y = yv(n) + ( 0.5_wp - j ) * dy |
|---|
| 460 | aa = x**2 + y**2 |
|---|
| 461 | bb = ( dx - x )**2 + y**2 |
|---|
| 462 | cc = x**2 + ( dy - y )**2 |
|---|
| 463 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 464 | gg = aa + bb + cc + dd |
|---|
| 465 | |
|---|
| 466 | v_int_l = ( ( gg - aa ) * v(k,j,i) + ( gg - bb ) * v(k,j,i+1) & |
|---|
| 467 | + ( gg - cc ) * v(k,j+1,i) + ( gg - dd ) * v(k,j+1,i+1) & |
|---|
| 468 | ) / ( 3.0_wp * gg ) - v_gtrans |
|---|
| 469 | |
|---|
| 470 | IF ( k == nzt ) THEN |
|---|
| 471 | v_int(n) = v_int_l |
|---|
| 472 | ELSE |
|---|
| 473 | v_int_u = ( ( gg-aa ) * v(k+1,j,i) + ( gg-bb ) * v(k+1,j,i+1) & |
|---|
| 474 | + ( gg-cc ) * v(k+1,j+1,i) + ( gg-dd ) * v(k+1,j+1,i+1) & |
|---|
| 475 | ) / ( 3.0_wp * gg ) - v_gtrans |
|---|
| 476 | v_int(n) = v_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 477 | ( v_int_u - v_int_l ) |
|---|
| 478 | ENDIF |
|---|
| 479 | |
|---|
| 480 | ENDIF |
|---|
| 481 | |
|---|
| 482 | ENDDO |
|---|
| 483 | ! |
|---|
| 484 | !-- Same procedure for interpolation of the w velocity-component |
|---|
| 485 | i = ip + block_offset(nb)%i_off |
|---|
| 486 | j = jp + block_offset(nb)%j_off |
|---|
| 487 | k = kp - 1 |
|---|
| 488 | |
|---|
| 489 | DO n = start_index(nb), end_index(nb) |
|---|
| 490 | |
|---|
| 491 | IF ( vertical_particle_advection(particles(n)%group) ) THEN |
|---|
| 492 | |
|---|
| 493 | x = xv(n) - i * dx |
|---|
| 494 | y = yv(n) - j * dy |
|---|
| 495 | aa = x**2 + y**2 |
|---|
| 496 | bb = ( dx - x )**2 + y**2 |
|---|
| 497 | cc = x**2 + ( dy - y )**2 |
|---|
| 498 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 499 | gg = aa + bb + cc + dd |
|---|
| 500 | |
|---|
| 501 | w_int_l = ( ( gg - aa ) * w(k,j,i) + ( gg - bb ) * w(k,j,i+1) & |
|---|
| 502 | + ( gg - cc ) * w(k,j+1,i) + ( gg - dd ) * w(k,j+1,i+1) & |
|---|
| 503 | ) / ( 3.0_wp * gg ) |
|---|
| 504 | |
|---|
| 505 | IF ( k == nzt ) THEN |
|---|
| 506 | w_int(n) = w_int_l |
|---|
| 507 | ELSE |
|---|
| 508 | w_int_u = ( ( gg-aa ) * w(k+1,j,i) + & |
|---|
| 509 | ( gg-bb ) * w(k+1,j,i+1) + & |
|---|
| 510 | ( gg-cc ) * w(k+1,j+1,i) + & |
|---|
| 511 | ( gg-dd ) * w(k+1,j+1,i+1) & |
|---|
| 512 | ) / ( 3.0_wp * gg ) |
|---|
| 513 | w_int(n) = w_int_l + ( zv(n) - zw(k) ) / dz * & |
|---|
| 514 | ( w_int_u - w_int_l ) |
|---|
| 515 | ENDIF |
|---|
| 516 | |
|---|
| 517 | ELSE |
|---|
| 518 | |
|---|
| 519 | w_int(n) = 0.0_wp |
|---|
| 520 | |
|---|
| 521 | ENDIF |
|---|
| 522 | |
|---|
| 523 | ENDDO |
|---|
| 524 | |
|---|
| 525 | ENDDO |
|---|
| 526 | |
|---|
| 527 | !-- Interpolate and calculate quantities needed for calculating the SGS |
|---|
| 528 | !-- velocities |
|---|
| 529 | IF ( use_sgs_for_particles .AND. .NOT. cloud_droplets ) THEN |
|---|
| 530 | |
|---|
| 531 | IF ( topography == 'flat' ) THEN |
|---|
| 532 | |
|---|
| 533 | DO nb = 0,7 |
|---|
| 534 | |
|---|
| 535 | i = ip + block_offset(nb)%i_off |
|---|
| 536 | j = jp + block_offset(nb)%j_off |
|---|
| 537 | k = kp + block_offset(nb)%k_off |
|---|
| 538 | |
|---|
| 539 | DO n = start_index(nb), end_index(nb) |
|---|
| 540 | ! |
|---|
| 541 | !-- Interpolate TKE |
|---|
| 542 | x = xv(n) - i * dx |
|---|
| 543 | y = yv(n) - j * dy |
|---|
| 544 | aa = x**2 + y**2 |
|---|
| 545 | bb = ( dx - x )**2 + y**2 |
|---|
| 546 | cc = x**2 + ( dy - y )**2 |
|---|
| 547 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 548 | gg = aa + bb + cc + dd |
|---|
| 549 | |
|---|
| 550 | e_int_l = ( ( gg-aa ) * e(k,j,i) + ( gg-bb ) * e(k,j,i+1) & |
|---|
| 551 | + ( gg-cc ) * e(k,j+1,i) + ( gg-dd ) * e(k,j+1,i+1) & |
|---|
| 552 | ) / ( 3.0_wp * gg ) |
|---|
| 553 | |
|---|
| 554 | IF ( k+1 == nzt+1 ) THEN |
|---|
| 555 | e_int(n) = e_int_l |
|---|
| 556 | ELSE |
|---|
| 557 | e_int_u = ( ( gg - aa ) * e(k+1,j,i) + & |
|---|
| 558 | ( gg - bb ) * e(k+1,j,i+1) + & |
|---|
| 559 | ( gg - cc ) * e(k+1,j+1,i) + & |
|---|
| 560 | ( gg - dd ) * e(k+1,j+1,i+1) & |
|---|
| 561 | ) / ( 3.0_wp * gg ) |
|---|
| 562 | e_int(n) = e_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 563 | ( e_int_u - e_int_l ) |
|---|
| 564 | ENDIF |
|---|
| 565 | ! |
|---|
| 566 | !-- Needed to avoid NaN particle velocities (this might not be |
|---|
| 567 | !-- required any more) |
|---|
| 568 | IF ( e_int(n) <= 0.0_wp ) THEN |
|---|
| 569 | e_int(n) = 1.0E-20_wp |
|---|
| 570 | ENDIF |
|---|
| 571 | ! |
|---|
| 572 | !-- Interpolate the TKE gradient along x (adopt incides i,j,k and |
|---|
| 573 | !-- all position variables from above (TKE)) |
|---|
| 574 | de_dx_int_l = ( ( gg - aa ) * de_dx(k,j,i) + & |
|---|
| 575 | ( gg - bb ) * de_dx(k,j,i+1) + & |
|---|
| 576 | ( gg - cc ) * de_dx(k,j+1,i) + & |
|---|
| 577 | ( gg - dd ) * de_dx(k,j+1,i+1) & |
|---|
| 578 | ) / ( 3.0_wp * gg ) |
|---|
| 579 | |
|---|
| 580 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 581 | de_dx_int(n) = de_dx_int_l |
|---|
| 582 | ELSE |
|---|
| 583 | de_dx_int_u = ( ( gg - aa ) * de_dx(k+1,j,i) + & |
|---|
| 584 | ( gg - bb ) * de_dx(k+1,j,i+1) + & |
|---|
| 585 | ( gg - cc ) * de_dx(k+1,j+1,i) + & |
|---|
| 586 | ( gg - dd ) * de_dx(k+1,j+1,i+1) & |
|---|
| 587 | ) / ( 3.0_wp * gg ) |
|---|
| 588 | de_dx_int(n) = de_dx_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 589 | ( de_dx_int_u - de_dx_int_l ) |
|---|
| 590 | ENDIF |
|---|
| 591 | ! |
|---|
| 592 | !-- Interpolate the TKE gradient along y |
|---|
| 593 | de_dy_int_l = ( ( gg - aa ) * de_dy(k,j,i) + & |
|---|
| 594 | ( gg - bb ) * de_dy(k,j,i+1) + & |
|---|
| 595 | ( gg - cc ) * de_dy(k,j+1,i) + & |
|---|
| 596 | ( gg - dd ) * de_dy(k,j+1,i+1) & |
|---|
| 597 | ) / ( 3.0_wp * gg ) |
|---|
| 598 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 599 | de_dy_int(n) = de_dy_int_l |
|---|
| 600 | ELSE |
|---|
| 601 | de_dy_int_u = ( ( gg - aa ) * de_dy(k+1,j,i) + & |
|---|
| 602 | ( gg - bb ) * de_dy(k+1,j,i+1) + & |
|---|
| 603 | ( gg - cc ) * de_dy(k+1,j+1,i) + & |
|---|
| 604 | ( gg - dd ) * de_dy(k+1,j+1,i+1) & |
|---|
| 605 | ) / ( 3.0_wp * gg ) |
|---|
| 606 | de_dy_int(n) = de_dy_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 607 | ( de_dy_int_u - de_dy_int_l ) |
|---|
| 608 | ENDIF |
|---|
| 609 | |
|---|
| 610 | ! |
|---|
| 611 | !-- Interpolate the TKE gradient along z |
|---|
| 612 | IF ( zv(n) < 0.5_wp * dz ) THEN |
|---|
| 613 | de_dz_int(n) = 0.0_wp |
|---|
| 614 | ELSE |
|---|
| 615 | de_dz_int_l = ( ( gg - aa ) * de_dz(k,j,i) + & |
|---|
| 616 | ( gg - bb ) * de_dz(k,j,i+1) + & |
|---|
| 617 | ( gg - cc ) * de_dz(k,j+1,i) + & |
|---|
| 618 | ( gg - dd ) * de_dz(k,j+1,i+1) & |
|---|
| 619 | ) / ( 3.0_wp * gg ) |
|---|
| 620 | |
|---|
| 621 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 622 | de_dz_int(n) = de_dz_int_l |
|---|
| 623 | ELSE |
|---|
| 624 | de_dz_int_u = ( ( gg - aa ) * de_dz(k+1,j,i) + & |
|---|
| 625 | ( gg - bb ) * de_dz(k+1,j,i+1) + & |
|---|
| 626 | ( gg - cc ) * de_dz(k+1,j+1,i) + & |
|---|
| 627 | ( gg - dd ) * de_dz(k+1,j+1,i+1) & |
|---|
| 628 | ) / ( 3.0_wp * gg ) |
|---|
| 629 | de_dz_int(n) = de_dz_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 630 | ( de_dz_int_u - de_dz_int_l ) |
|---|
| 631 | ENDIF |
|---|
| 632 | ENDIF |
|---|
| 633 | |
|---|
| 634 | ! |
|---|
| 635 | !-- Interpolate the dissipation of TKE |
|---|
| 636 | diss_int_l = ( ( gg - aa ) * diss(k,j,i) + & |
|---|
| 637 | ( gg - bb ) * diss(k,j,i+1) + & |
|---|
| 638 | ( gg - cc ) * diss(k,j+1,i) + & |
|---|
| 639 | ( gg - dd ) * diss(k,j+1,i+1) & |
|---|
| 640 | ) / ( 3.0_wp * gg ) |
|---|
| 641 | |
|---|
| 642 | IF ( k == nzt ) THEN |
|---|
| 643 | diss_int(n) = diss_int_l |
|---|
| 644 | ELSE |
|---|
| 645 | diss_int_u = ( ( gg - aa ) * diss(k+1,j,i) + & |
|---|
| 646 | ( gg - bb ) * diss(k+1,j,i+1) + & |
|---|
| 647 | ( gg - cc ) * diss(k+1,j+1,i) + & |
|---|
| 648 | ( gg - dd ) * diss(k+1,j+1,i+1) & |
|---|
| 649 | ) / ( 3.0_wp * gg ) |
|---|
| 650 | diss_int(n) = diss_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 651 | ( diss_int_u - diss_int_l ) |
|---|
| 652 | ENDIF |
|---|
| 653 | |
|---|
| 654 | ! |
|---|
| 655 | !-- Set flag for stochastic equation. |
|---|
| 656 | term_1_2(n) = 1.0_wp |
|---|
| 657 | |
|---|
| 658 | ENDDO |
|---|
| 659 | ENDDO |
|---|
| 660 | |
|---|
| 661 | ELSE ! non-flat topography, e.g., buildings |
|---|
| 662 | |
|---|
| 663 | DO nb = 0, 7 |
|---|
| 664 | |
|---|
| 665 | DO n = start_index(nb), end_index(nb) |
|---|
| 666 | |
|---|
| 667 | i = particles(n)%x * ddx |
|---|
| 668 | j = particles(n)%y * ddy |
|---|
| 669 | k = ( zv(n) + dz * atmos_ocean_sign ) / dz & |
|---|
| 670 | + offset_ocean_nzt ! only exact if eq.dist |
|---|
| 671 | ! |
|---|
| 672 | !-- In case that there are buildings it has to be determined |
|---|
| 673 | !-- how many of the gridpoints defining the particle box are |
|---|
| 674 | !-- situated within a building |
|---|
| 675 | !-- gp_outside_of_building(1): i,j,k |
|---|
| 676 | !-- gp_outside_of_building(2): i,j+1,k |
|---|
| 677 | !-- gp_outside_of_building(3): i,j,k+1 |
|---|
| 678 | !-- gp_outside_of_building(4): i,j+1,k+1 |
|---|
| 679 | !-- gp_outside_of_building(5): i+1,j,k |
|---|
| 680 | !-- gp_outside_of_building(6): i+1,j+1,k |
|---|
| 681 | !-- gp_outside_of_building(7): i+1,j,k+1 |
|---|
| 682 | !-- gp_outside_of_building(8): i+1,j+1,k+1 |
|---|
| 683 | |
|---|
| 684 | gp_outside_of_building = 0 |
|---|
| 685 | location = 0.0_wp |
|---|
| 686 | num_gp = 0 |
|---|
| 687 | |
|---|
| 688 | ! |
|---|
| 689 | !-- Determine vertical index of topography top at (j,i) |
|---|
| 690 | k_wall = get_topography_top_index( j, i, 's' ) |
|---|
| 691 | ! |
|---|
| 692 | !-- To do: Reconsider order of computations in order to avoid |
|---|
| 693 | !-- unnecessary index calculations. |
|---|
| 694 | IF ( k > k_wall .OR. k_wall == 0 ) THEN |
|---|
| 695 | num_gp = num_gp + 1 |
|---|
| 696 | gp_outside_of_building(1) = 1 |
|---|
| 697 | location(num_gp,1) = i * dx |
|---|
| 698 | location(num_gp,2) = j * dy |
|---|
| 699 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 700 | ei(num_gp) = e(k,j,i) |
|---|
| 701 | dissi(num_gp) = diss(k,j,i) |
|---|
| 702 | de_dxi(num_gp) = de_dx(k,j,i) |
|---|
| 703 | de_dyi(num_gp) = de_dy(k,j,i) |
|---|
| 704 | de_dzi(num_gp) = de_dz(k,j,i) |
|---|
| 705 | ENDIF |
|---|
| 706 | |
|---|
| 707 | ! |
|---|
| 708 | !-- Determine vertical index of topography top at (j+1,i) |
|---|
| 709 | k_wall = get_topography_top_index( j+1, i, 's' ) |
|---|
| 710 | |
|---|
| 711 | IF ( k > k_wall .OR. k_wall == 0 ) THEN |
|---|
| 712 | num_gp = num_gp + 1 |
|---|
| 713 | gp_outside_of_building(2) = 1 |
|---|
| 714 | location(num_gp,1) = i * dx |
|---|
| 715 | location(num_gp,2) = (j+1) * dy |
|---|
| 716 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 717 | ei(num_gp) = e(k,j+1,i) |
|---|
| 718 | dissi(num_gp) = diss(k,j+1,i) |
|---|
| 719 | de_dxi(num_gp) = de_dx(k,j+1,i) |
|---|
| 720 | de_dyi(num_gp) = de_dy(k,j+1,i) |
|---|
| 721 | de_dzi(num_gp) = de_dz(k,j+1,i) |
|---|
| 722 | ENDIF |
|---|
| 723 | |
|---|
| 724 | ! |
|---|
| 725 | !-- Determine vertical index of topography top at (j,i) |
|---|
| 726 | k_wall = get_topography_top_index( j, i, 's' ) |
|---|
| 727 | |
|---|
| 728 | IF ( k+1 > k_wall .OR. k_wall == 0 ) THEN |
|---|
| 729 | num_gp = num_gp + 1 |
|---|
| 730 | gp_outside_of_building(3) = 1 |
|---|
| 731 | location(num_gp,1) = i * dx |
|---|
| 732 | location(num_gp,2) = j * dy |
|---|
| 733 | location(num_gp,3) = (k+1) * dz - 0.5_wp * dz |
|---|
| 734 | ei(num_gp) = e(k+1,j,i) |
|---|
| 735 | dissi(num_gp) = diss(k+1,j,i) |
|---|
| 736 | de_dxi(num_gp) = de_dx(k+1,j,i) |
|---|
| 737 | de_dyi(num_gp) = de_dy(k+1,j,i) |
|---|
| 738 | de_dzi(num_gp) = de_dz(k+1,j,i) |
|---|
| 739 | ENDIF |
|---|
| 740 | |
|---|
| 741 | ! |
|---|
| 742 | !-- Determine vertical index of topography top at (j+1,i) |
|---|
| 743 | k_wall = get_topography_top_index( j+1, i, 's' ) |
|---|
| 744 | IF ( k+1 > k_wall .OR. k_wall == 0 ) THEN |
|---|
| 745 | num_gp = num_gp + 1 |
|---|
| 746 | gp_outside_of_building(4) = 1 |
|---|
| 747 | location(num_gp,1) = i * dx |
|---|
| 748 | location(num_gp,2) = (j+1) * dy |
|---|
| 749 | location(num_gp,3) = (k+1) * dz - 0.5_wp * dz |
|---|
| 750 | ei(num_gp) = e(k+1,j+1,i) |
|---|
| 751 | dissi(num_gp) = diss(k+1,j+1,i) |
|---|
| 752 | de_dxi(num_gp) = de_dx(k+1,j+1,i) |
|---|
| 753 | de_dyi(num_gp) = de_dy(k+1,j+1,i) |
|---|
| 754 | de_dzi(num_gp) = de_dz(k+1,j+1,i) |
|---|
| 755 | ENDIF |
|---|
| 756 | |
|---|
| 757 | ! |
|---|
| 758 | !-- Determine vertical index of topography top at (j,i+1) |
|---|
| 759 | k_wall = get_topography_top_index( j, i+1, 's' ) |
|---|
| 760 | IF ( k > k_wall .OR. k_wall == 0 ) THEN |
|---|
| 761 | num_gp = num_gp + 1 |
|---|
| 762 | gp_outside_of_building(5) = 1 |
|---|
| 763 | location(num_gp,1) = (i+1) * dx |
|---|
| 764 | location(num_gp,2) = j * dy |
|---|
| 765 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 766 | ei(num_gp) = e(k,j,i+1) |
|---|
| 767 | dissi(num_gp) = diss(k,j,i+1) |
|---|
| 768 | de_dxi(num_gp) = de_dx(k,j,i+1) |
|---|
| 769 | de_dyi(num_gp) = de_dy(k,j,i+1) |
|---|
| 770 | de_dzi(num_gp) = de_dz(k,j,i+1) |
|---|
| 771 | ENDIF |
|---|
| 772 | |
|---|
| 773 | ! |
|---|
| 774 | !-- Determine vertical index of topography top at (j+1,i+1) |
|---|
| 775 | k_wall = get_topography_top_index( j+1, i+1, 's' ) |
|---|
| 776 | |
|---|
| 777 | IF ( k > k_wall .OR. k_wall == 0 ) THEN |
|---|
| 778 | num_gp = num_gp + 1 |
|---|
| 779 | gp_outside_of_building(6) = 1 |
|---|
| 780 | location(num_gp,1) = (i+1) * dx |
|---|
| 781 | location(num_gp,2) = (j+1) * dy |
|---|
| 782 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 783 | ei(num_gp) = e(k,j+1,i+1) |
|---|
| 784 | dissi(num_gp) = diss(k,j+1,i+1) |
|---|
| 785 | de_dxi(num_gp) = de_dx(k,j+1,i+1) |
|---|
| 786 | de_dyi(num_gp) = de_dy(k,j+1,i+1) |
|---|
| 787 | de_dzi(num_gp) = de_dz(k,j+1,i+1) |
|---|
| 788 | ENDIF |
|---|
| 789 | |
|---|
| 790 | ! |
|---|
| 791 | !-- Determine vertical index of topography top at (j,i+1) |
|---|
| 792 | k_wall = get_topography_top_index( j, i+1, 's' ) |
|---|
| 793 | |
|---|
| 794 | IF ( k+1 > k_wall .OR. k_wall == 0 ) THEN |
|---|
| 795 | num_gp = num_gp + 1 |
|---|
| 796 | gp_outside_of_building(7) = 1 |
|---|
| 797 | location(num_gp,1) = (i+1) * dx |
|---|
| 798 | location(num_gp,2) = j * dy |
|---|
| 799 | location(num_gp,3) = (k+1) * dz - 0.5_wp * dz |
|---|
| 800 | ei(num_gp) = e(k+1,j,i+1) |
|---|
| 801 | dissi(num_gp) = diss(k+1,j,i+1) |
|---|
| 802 | de_dxi(num_gp) = de_dx(k+1,j,i+1) |
|---|
| 803 | de_dyi(num_gp) = de_dy(k+1,j,i+1) |
|---|
| 804 | de_dzi(num_gp) = de_dz(k+1,j,i+1) |
|---|
| 805 | ENDIF |
|---|
| 806 | |
|---|
| 807 | ! |
|---|
| 808 | !-- Determine vertical index of topography top at (j+1,i+1) |
|---|
| 809 | k_wall = get_topography_top_index( j+1, i+1, 's' ) |
|---|
| 810 | |
|---|
| 811 | IF ( k+1 > k_wall .OR. k_wall == 0) THEN |
|---|
| 812 | num_gp = num_gp + 1 |
|---|
| 813 | gp_outside_of_building(8) = 1 |
|---|
| 814 | location(num_gp,1) = (i+1) * dx |
|---|
| 815 | location(num_gp,2) = (j+1) * dy |
|---|
| 816 | location(num_gp,3) = (k+1) * dz - 0.5_wp * dz |
|---|
| 817 | ei(num_gp) = e(k+1,j+1,i+1) |
|---|
| 818 | dissi(num_gp) = diss(k+1,j+1,i+1) |
|---|
| 819 | de_dxi(num_gp) = de_dx(k+1,j+1,i+1) |
|---|
| 820 | de_dyi(num_gp) = de_dy(k+1,j+1,i+1) |
|---|
| 821 | de_dzi(num_gp) = de_dz(k+1,j+1,i+1) |
|---|
| 822 | ENDIF |
|---|
| 823 | ! |
|---|
| 824 | !-- If all gridpoints are situated outside of a building, then the |
|---|
| 825 | !-- ordinary interpolation scheme can be used. |
|---|
| 826 | IF ( num_gp == 8 ) THEN |
|---|
| 827 | |
|---|
| 828 | x = particles(n)%x - i * dx |
|---|
| 829 | y = particles(n)%y - j * dy |
|---|
| 830 | aa = x**2 + y**2 |
|---|
| 831 | bb = ( dx - x )**2 + y**2 |
|---|
| 832 | cc = x**2 + ( dy - y )**2 |
|---|
| 833 | dd = ( dx - x )**2 + ( dy - y )**2 |
|---|
| 834 | gg = aa + bb + cc + dd |
|---|
| 835 | |
|---|
| 836 | e_int_l = ( ( gg - aa ) * e(k,j,i) + ( gg - bb ) * e(k,j,i+1) & |
|---|
| 837 | + ( gg - cc ) * e(k,j+1,i) + ( gg - dd ) * e(k,j+1,i+1) & |
|---|
| 838 | ) / ( 3.0_wp * gg ) |
|---|
| 839 | |
|---|
| 840 | IF ( k == nzt ) THEN |
|---|
| 841 | e_int(n) = e_int_l |
|---|
| 842 | ELSE |
|---|
| 843 | e_int_u = ( ( gg - aa ) * e(k+1,j,i) + & |
|---|
| 844 | ( gg - bb ) * e(k+1,j,i+1) + & |
|---|
| 845 | ( gg - cc ) * e(k+1,j+1,i) + & |
|---|
| 846 | ( gg - dd ) * e(k+1,j+1,i+1) & |
|---|
| 847 | ) / ( 3.0_wp * gg ) |
|---|
| 848 | e_int(n) = e_int_l + ( zv(n) - zu(k) ) / dz * & |
|---|
| 849 | ( e_int_u - e_int_l ) |
|---|
| 850 | ENDIF |
|---|
| 851 | ! |
|---|
| 852 | !-- Needed to avoid NaN particle velocities (this might not be |
|---|
| 853 | !-- required any more) |
|---|
| 854 | IF ( e_int(n) <= 0.0_wp ) THEN |
|---|
| 855 | e_int(n) = 1.0E-20_wp |
|---|
| 856 | ENDIF |
|---|
| 857 | ! |
|---|
| 858 | !-- Interpolate the TKE gradient along x (adopt incides i,j,k |
|---|
| 859 | !-- and all position variables from above (TKE)) |
|---|
| 860 | de_dx_int_l = ( ( gg - aa ) * de_dx(k,j,i) + & |
|---|
| 861 | ( gg - bb ) * de_dx(k,j,i+1) + & |
|---|
| 862 | ( gg - cc ) * de_dx(k,j+1,i) + & |
|---|
| 863 | ( gg - dd ) * de_dx(k,j+1,i+1) & |
|---|
| 864 | ) / ( 3.0_wp * gg ) |
|---|
| 865 | |
|---|
| 866 | IF ( ( k == nzt ) .OR. ( k == nzb ) ) THEN |
|---|
| 867 | de_dx_int(n) = de_dx_int_l |
|---|
| 868 | ELSE |
|---|
| 869 | de_dx_int_u = ( ( gg - aa ) * de_dx(k+1,j,i) + & |
|---|
| 870 | ( gg - bb ) * de_dx(k+1,j,i+1) + & |
|---|
| 871 | ( gg - cc ) * de_dx(k+1,j+1,i) + & |
|---|
| 872 | ( gg - dd ) * de_dx(k+1,j+1,i+1) & |
|---|
| 873 | ) / ( 3.0_wp * gg ) |
|---|
| 874 | de_dx_int(n) = de_dx_int_l + ( zv(n) - zu(k) ) / & |
|---|
| 875 | dz * ( de_dx_int_u - de_dx_int_l ) |
|---|
| 876 | ENDIF |
|---|
| 877 | |
|---|
| 878 | ! |
|---|
| 879 | !-- Interpolate the TKE gradient along y |
|---|
| 880 | de_dy_int_l = ( ( gg - aa ) * de_dy(k,j,i) + & |
|---|
| 881 | ( gg - bb ) * de_dy(k,j,i+1) + & |
|---|
| 882 | ( gg - cc ) * de_dy(k,j+1,i) + & |
|---|
| 883 | ( gg - dd ) * de_dy(k,j+1,i+1) & |
|---|
| 884 | ) / ( 3.0_wp * gg ) |
|---|
| 885 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 886 | de_dy_int(n) = de_dy_int_l |
|---|
| 887 | ELSE |
|---|
| 888 | de_dy_int_u = ( ( gg - aa ) * de_dy(k+1,j,i) + & |
|---|
| 889 | ( gg - bb ) * de_dy(k+1,j,i+1) + & |
|---|
| 890 | ( gg - cc ) * de_dy(k+1,j+1,i) + & |
|---|
| 891 | ( gg - dd ) * de_dy(k+1,j+1,i+1) & |
|---|
| 892 | ) / ( 3.0_wp * gg ) |
|---|
| 893 | de_dy_int(n) = de_dy_int_l + ( zv(n) - zu(k) ) / & |
|---|
| 894 | dz * ( de_dy_int_u - de_dy_int_l ) |
|---|
| 895 | ENDIF |
|---|
| 896 | |
|---|
| 897 | ! |
|---|
| 898 | !-- Interpolate the TKE gradient along z |
|---|
| 899 | IF ( zv(n) < 0.5_wp * dz ) THEN |
|---|
| 900 | de_dz_int(n) = 0.0_wp |
|---|
| 901 | ELSE |
|---|
| 902 | de_dz_int_l = ( ( gg - aa ) * de_dz(k,j,i) + & |
|---|
| 903 | ( gg - bb ) * de_dz(k,j,i+1) + & |
|---|
| 904 | ( gg - cc ) * de_dz(k,j+1,i) + & |
|---|
| 905 | ( gg - dd ) * de_dz(k,j+1,i+1) & |
|---|
| 906 | ) / ( 3.0_wp * gg ) |
|---|
| 907 | |
|---|
| 908 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
|---|
| 909 | de_dz_int(n) = de_dz_int_l |
|---|
| 910 | ELSE |
|---|
| 911 | de_dz_int_u = ( ( gg - aa ) * de_dz(k+1,j,i) + & |
|---|
| 912 | ( gg - bb ) * de_dz(k+1,j,i+1) + & |
|---|
| 913 | ( gg - cc ) * de_dz(k+1,j+1,i) + & |
|---|
| 914 | ( gg - dd ) * de_dz(k+1,j+1,i+1) & |
|---|
| 915 | ) / ( 3.0_wp * gg ) |
|---|
| 916 | de_dz_int(n) = de_dz_int_l + ( zv(n) - zu(k) ) /& |
|---|
| 917 | dz * ( de_dz_int_u - de_dz_int_l ) |
|---|
| 918 | ENDIF |
|---|
| 919 | ENDIF |
|---|
| 920 | |
|---|
| 921 | ! |
|---|
| 922 | !-- Interpolate the dissipation of TKE |
|---|
| 923 | diss_int_l = ( ( gg - aa ) * diss(k,j,i) + & |
|---|
| 924 | ( gg - bb ) * diss(k,j,i+1) + & |
|---|
| 925 | ( gg - cc ) * diss(k,j+1,i) + & |
|---|
| 926 | ( gg - dd ) * diss(k,j+1,i+1) & |
|---|
| 927 | ) / ( 3.0_wp * gg ) |
|---|
| 928 | |
|---|
| 929 | IF ( k == nzt ) THEN |
|---|
| 930 | diss_int(n) = diss_int_l |
|---|
| 931 | ELSE |
|---|
| 932 | diss_int_u = ( ( gg - aa ) * diss(k+1,j,i) + & |
|---|
| 933 | ( gg - bb ) * diss(k+1,j,i+1) + & |
|---|
| 934 | ( gg - cc ) * diss(k+1,j+1,i) + & |
|---|
| 935 | ( gg - dd ) * diss(k+1,j+1,i+1) & |
|---|
| 936 | ) / ( 3.0_wp * gg ) |
|---|
| 937 | diss_int(n) = diss_int_l + ( zv(n) - zu(k) ) / dz *& |
|---|
| 938 | ( diss_int_u - diss_int_l ) |
|---|
| 939 | ENDIF |
|---|
| 940 | ! |
|---|
| 941 | !-- Set flag for stochastic equation. |
|---|
| 942 | term_1_2(n) = 1.0_wp |
|---|
| 943 | |
|---|
| 944 | ELSE |
|---|
| 945 | |
|---|
| 946 | ! |
|---|
| 947 | !-- If wall between gridpoint 1 and gridpoint 5, then |
|---|
| 948 | !-- Neumann boundary condition has to be applied |
|---|
| 949 | IF ( gp_outside_of_building(1) == 1 .AND. & |
|---|
| 950 | gp_outside_of_building(5) == 0 ) THEN |
|---|
| 951 | num_gp = num_gp + 1 |
|---|
| 952 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 953 | location(num_gp,2) = j * dy |
|---|
| 954 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 955 | ei(num_gp) = e(k,j,i) |
|---|
| 956 | dissi(num_gp) = diss(k,j,i) |
|---|
| 957 | de_dxi(num_gp) = 0.0_wp |
|---|
| 958 | de_dyi(num_gp) = de_dy(k,j,i) |
|---|
| 959 | de_dzi(num_gp) = de_dz(k,j,i) |
|---|
| 960 | ENDIF |
|---|
| 961 | |
|---|
| 962 | IF ( gp_outside_of_building(5) == 1 .AND. & |
|---|
| 963 | gp_outside_of_building(1) == 0 ) THEN |
|---|
| 964 | num_gp = num_gp + 1 |
|---|
| 965 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 966 | location(num_gp,2) = j * dy |
|---|
| 967 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 968 | ei(num_gp) = e(k,j,i+1) |
|---|
| 969 | dissi(num_gp) = diss(k,j,i+1) |
|---|
| 970 | de_dxi(num_gp) = 0.0_wp |
|---|
| 971 | de_dyi(num_gp) = de_dy(k,j,i+1) |
|---|
| 972 | de_dzi(num_gp) = de_dz(k,j,i+1) |
|---|
| 973 | ENDIF |
|---|
| 974 | |
|---|
| 975 | ! |
|---|
| 976 | !-- If wall between gridpoint 5 and gridpoint 6, then |
|---|
| 977 | !-- then Neumann boundary condition has to be applied |
|---|
| 978 | IF ( gp_outside_of_building(5) == 1 .AND. & |
|---|
| 979 | gp_outside_of_building(6) == 0 ) THEN |
|---|
| 980 | num_gp = num_gp + 1 |
|---|
| 981 | location(num_gp,1) = (i+1) * dx |
|---|
| 982 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 983 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 984 | ei(num_gp) = e(k,j,i+1) |
|---|
| 985 | dissi(num_gp) = diss(k,j,i+1) |
|---|
| 986 | de_dxi(num_gp) = de_dx(k,j,i+1) |
|---|
| 987 | de_dyi(num_gp) = 0.0_wp |
|---|
| 988 | de_dzi(num_gp) = de_dz(k,j,i+1) |
|---|
| 989 | ENDIF |
|---|
| 990 | |
|---|
| 991 | IF ( gp_outside_of_building(6) == 1 .AND. & |
|---|
| 992 | gp_outside_of_building(5) == 0 ) THEN |
|---|
| 993 | num_gp = num_gp + 1 |
|---|
| 994 | location(num_gp,1) = (i+1) * dx |
|---|
| 995 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 996 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 997 | ei(num_gp) = e(k,j+1,i+1) |
|---|
| 998 | dissi(num_gp) = diss(k,j+1,i+1) |
|---|
| 999 | de_dxi(num_gp) = de_dx(k,j+1,i+1) |
|---|
| 1000 | de_dyi(num_gp) = 0.0_wp |
|---|
| 1001 | de_dzi(num_gp) = de_dz(k,j+1,i+1) |
|---|
| 1002 | ENDIF |
|---|
| 1003 | |
|---|
| 1004 | ! |
|---|
| 1005 | !-- If wall between gridpoint 2 and gridpoint 6, then |
|---|
| 1006 | !-- Neumann boundary condition has to be applied |
|---|
| 1007 | IF ( gp_outside_of_building(2) == 1 .AND. & |
|---|
| 1008 | gp_outside_of_building(6) == 0 ) THEN |
|---|
| 1009 | num_gp = num_gp + 1 |
|---|
| 1010 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 1011 | location(num_gp,2) = (j+1) * dy |
|---|
| 1012 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 1013 | ei(num_gp) = e(k,j+1,i) |
|---|
| 1014 | dissi(num_gp) = diss(k,j+1,i) |
|---|
| 1015 | de_dxi(num_gp) = 0.0_wp |
|---|
| 1016 | de_dyi(num_gp) = de_dy(k,j+1,i) |
|---|
| 1017 | de_dzi(num_gp) = de_dz(k,j+1,i) |
|---|
| 1018 | ENDIF |
|---|
| 1019 | |
|---|
| 1020 | IF ( gp_outside_of_building(6) == 1 .AND. & |
|---|
| 1021 | gp_outside_of_building(2) == 0 ) THEN |
|---|
| 1022 | num_gp = num_gp + 1 |
|---|
| 1023 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 1024 | location(num_gp,2) = (j+1) * dy |
|---|
| 1025 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 1026 | ei(num_gp) = e(k,j+1,i+1) |
|---|
| 1027 | dissi(num_gp) = diss(k,j+1,i+1) |
|---|
| 1028 | de_dxi(num_gp) = 0.0_wp |
|---|
| 1029 | de_dyi(num_gp) = de_dy(k,j+1,i+1) |
|---|
| 1030 | de_dzi(num_gp) = de_dz(k,j+1,i+1) |
|---|
| 1031 | ENDIF |
|---|
| 1032 | |
|---|
| 1033 | ! |
|---|
| 1034 | !-- If wall between gridpoint 1 and gridpoint 2, then |
|---|
| 1035 | !-- Neumann boundary condition has to be applied |
|---|
| 1036 | IF ( gp_outside_of_building(1) == 1 .AND. & |
|---|
| 1037 | gp_outside_of_building(2) == 0 ) THEN |
|---|
| 1038 | num_gp = num_gp + 1 |
|---|
| 1039 | location(num_gp,1) = i * dx |
|---|
| 1040 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 1041 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 1042 | ei(num_gp) = e(k,j,i) |
|---|
| 1043 | dissi(num_gp) = diss(k,j,i) |
|---|
| 1044 | de_dxi(num_gp) = de_dx(k,j,i) |
|---|
| 1045 | de_dyi(num_gp) = 0.0_wp |
|---|
| 1046 | de_dzi(num_gp) = de_dz(k,j,i) |
|---|
| 1047 | ENDIF |
|---|
| 1048 | |
|---|
| 1049 | IF ( gp_outside_of_building(2) == 1 .AND. & |
|---|
| 1050 | gp_outside_of_building(1) == 0 ) THEN |
|---|
| 1051 | num_gp = num_gp + 1 |
|---|
| 1052 | location(num_gp,1) = i * dx |
|---|
| 1053 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 1054 | location(num_gp,3) = k * dz - 0.5_wp * dz |
|---|
| 1055 | ei(num_gp) = e(k,j+1,i) |
|---|
| 1056 | dissi(num_gp) = diss(k,j+1,i) |
|---|
| 1057 | de_dxi(num_gp) = de_dx(k,j+1,i) |
|---|
| 1058 | de_dyi(num_gp) = 0.0_wp |
|---|
| 1059 | de_dzi(num_gp) = de_dz(k,j+1,i) |
|---|
| 1060 | ENDIF |
|---|
| 1061 | |
|---|
| 1062 | ! |
|---|
| 1063 | !-- If wall between gridpoint 3 and gridpoint 7, then |
|---|
| 1064 | !-- Neumann boundary condition has to be applied |
|---|
| 1065 | IF ( gp_outside_of_building(3) == 1 .AND. & |
|---|
| 1066 | gp_outside_of_building(7) == 0 ) THEN |
|---|
| 1067 | num_gp = num_gp + 1 |
|---|
| 1068 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 1069 | location(num_gp,2) = j * dy |
|---|
| 1070 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 1071 | ei(num_gp) = e(k+1,j,i) |
|---|
| 1072 | dissi(num_gp) = diss(k+1,j,i) |
|---|
| 1073 | de_dxi(num_gp) = 0.0_wp |
|---|
| 1074 | de_dyi(num_gp) = de_dy(k+1,j,i) |
|---|
| 1075 | de_dzi(num_gp) = de_dz(k+1,j,i) |
|---|
| 1076 | ENDIF |
|---|
| 1077 | |
|---|
| 1078 | IF ( gp_outside_of_building(7) == 1 .AND. & |
|---|
| 1079 | gp_outside_of_building(3) == 0 ) THEN |
|---|
| 1080 | num_gp = num_gp + 1 |
|---|
| 1081 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 1082 | location(num_gp,2) = j * dy |
|---|
| 1083 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 1084 | ei(num_gp) = e(k+1,j,i+1) |
|---|
| 1085 | dissi(num_gp) = diss(k+1,j,i+1) |
|---|
| 1086 | de_dxi(num_gp) = 0.0_wp |
|---|
| 1087 | de_dyi(num_gp) = de_dy(k+1,j,i+1) |
|---|
| 1088 | de_dzi(num_gp) = de_dz(k+1,j,i+1) |
|---|
| 1089 | ENDIF |
|---|
| 1090 | |
|---|
| 1091 | ! |
|---|
| 1092 | !-- If wall between gridpoint 7 and gridpoint 8, then |
|---|
| 1093 | !-- Neumann boundary condition has to be applied |
|---|
| 1094 | IF ( gp_outside_of_building(7) == 1 .AND. & |
|---|
| 1095 | gp_outside_of_building(8) == 0 ) THEN |
|---|
| 1096 | num_gp = num_gp + 1 |
|---|
| 1097 | location(num_gp,1) = (i+1) * dx |
|---|
| 1098 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 1099 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 1100 | ei(num_gp) = e(k+1,j,i+1) |
|---|
| 1101 | dissi(num_gp) = diss(k+1,j,i+1) |
|---|
| 1102 | de_dxi(num_gp) = de_dx(k+1,j,i+1) |
|---|
| 1103 | de_dyi(num_gp) = 0.0_wp |
|---|
| 1104 | de_dzi(num_gp) = de_dz(k+1,j,i+1) |
|---|
| 1105 | ENDIF |
|---|
| 1106 | |
|---|
| 1107 | IF ( gp_outside_of_building(8) == 1 .AND. & |
|---|
| 1108 | gp_outside_of_building(7) == 0 ) THEN |
|---|
| 1109 | num_gp = num_gp + 1 |
|---|
| 1110 | location(num_gp,1) = (i+1) * dx |
|---|
| 1111 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 1112 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 1113 | ei(num_gp) = e(k+1,j+1,i+1) |
|---|
| 1114 | dissi(num_gp) = diss(k+1,j+1,i+1) |
|---|
| 1115 | de_dxi(num_gp) = de_dx(k+1,j+1,i+1) |
|---|
| 1116 | de_dyi(num_gp) = 0.0_wp |
|---|
| 1117 | de_dzi(num_gp) = de_dz(k+1,j+1,i+1) |
|---|
| 1118 | ENDIF |
|---|
| 1119 | |
|---|
| 1120 | ! |
|---|
| 1121 | !-- If wall between gridpoint 4 and gridpoint 8, then |
|---|
| 1122 | !-- Neumann boundary condition has to be applied |
|---|
| 1123 | IF ( gp_outside_of_building(4) == 1 .AND. & |
|---|
| 1124 | gp_outside_of_building(8) == 0 ) THEN |
|---|
| 1125 | num_gp = num_gp + 1 |
|---|
| 1126 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 1127 | location(num_gp,2) = (j+1) * dy |
|---|
| 1128 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 1129 | ei(num_gp) = e(k+1,j+1,i) |
|---|
| 1130 | dissi(num_gp) = diss(k+1,j+1,i) |
|---|
| 1131 | de_dxi(num_gp) = 0.0_wp |
|---|
| 1132 | de_dyi(num_gp) = de_dy(k+1,j+1,i) |
|---|
| 1133 | de_dzi(num_gp) = de_dz(k+1,j+1,i) |
|---|
| 1134 | ENDIF |
|---|
| 1135 | |
|---|
| 1136 | IF ( gp_outside_of_building(8) == 1 .AND. & |
|---|
| 1137 | gp_outside_of_building(4) == 0 ) THEN |
|---|
| 1138 | num_gp = num_gp + 1 |
|---|
| 1139 | location(num_gp,1) = i * dx + 0.5_wp * dx |
|---|
| 1140 | location(num_gp,2) = (j+1) * dy |
|---|
| 1141 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 1142 | ei(num_gp) = e(k+1,j+1,i+1) |
|---|
| 1143 | dissi(num_gp) = diss(k+1,j+1,i+1) |
|---|
| 1144 | de_dxi(num_gp) = 0.0_wp |
|---|
| 1145 | de_dyi(num_gp) = de_dy(k+1,j+1,i+1) |
|---|
| 1146 | de_dzi(num_gp) = de_dz(k+1,j+1,i+1) |
|---|
| 1147 | ENDIF |
|---|
| 1148 | |
|---|
| 1149 | ! |
|---|
| 1150 | !-- If wall between gridpoint 3 and gridpoint 4, then |
|---|
| 1151 | !-- Neumann boundary condition has to be applied |
|---|
| 1152 | IF ( gp_outside_of_building(3) == 1 .AND. & |
|---|
| 1153 | gp_outside_of_building(4) == 0 ) THEN |
|---|
| 1154 | num_gp = num_gp + 1 |
|---|
| 1155 | location(num_gp,1) = i * dx |
|---|
| 1156 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 1157 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 1158 | ei(num_gp) = e(k+1,j,i) |
|---|
| 1159 | dissi(num_gp) = diss(k+1,j,i) |
|---|
| 1160 | de_dxi(num_gp) = de_dx(k+1,j,i) |
|---|
| 1161 | de_dyi(num_gp) = 0.0_wp |
|---|
| 1162 | de_dzi(num_gp) = de_dz(k+1,j,i) |
|---|
| 1163 | ENDIF |
|---|
| 1164 | |
|---|
| 1165 | IF ( gp_outside_of_building(4) == 1 .AND. & |
|---|
| 1166 | gp_outside_of_building(3) == 0 ) THEN |
|---|
| 1167 | num_gp = num_gp + 1 |
|---|
| 1168 | location(num_gp,1) = i * dx |
|---|
| 1169 | location(num_gp,2) = j * dy + 0.5_wp * dy |
|---|
| 1170 | location(num_gp,3) = k * dz + 0.5_wp * dz |
|---|
| 1171 | ei(num_gp) = e(k+1,j+1,i) |
|---|
| 1172 | dissi(num_gp) = diss(k+1,j+1,i) |
|---|
| 1173 | de_dxi(num_gp) = de_dx(k+1,j+1,i) |
|---|
| 1174 | de_dyi(num_gp) = 0.0_wp |
|---|
| 1175 | de_dzi(num_gp) = de_dz(k+1,j+1,i) |
|---|
| 1176 | ENDIF |
|---|
| 1177 | |
|---|
| 1178 | ! |
|---|
| 1179 | !-- If wall between gridpoint 1 and gridpoint 3, then |
|---|
| 1180 | !-- Neumann boundary condition has to be applied |
|---|
| 1181 | !-- (only one case as only building beneath is possible) |
|---|
| 1182 | IF ( gp_outside_of_building(1) == 0 .AND. & |
|---|
| 1183 | gp_outside_of_building(3) == 1 ) THEN |
|---|
| 1184 | num_gp = num_gp + 1 |
|---|
| 1185 | location(num_gp,1) = i * dx |
|---|
| 1186 | location(num_gp,2) = j * dy |
|---|
| 1187 | location(num_gp,3) = k * dz |
|---|
| 1188 | ei(num_gp) = e(k+1,j,i) |
|---|
| 1189 | dissi(num_gp) = diss(k+1,j,i) |
|---|
| 1190 | de_dxi(num_gp) = de_dx(k+1,j,i) |
|---|
| 1191 | de_dyi(num_gp) = de_dy(k+1,j,i) |
|---|
| 1192 | de_dzi(num_gp) = 0.0_wp |
|---|
| 1193 | ENDIF |
|---|
| 1194 | |
|---|
| 1195 | ! |
|---|
| 1196 | !-- If wall between gridpoint 5 and gridpoint 7, then |
|---|
| 1197 | !-- Neumann boundary condition has to be applied |
|---|
| 1198 | !-- (only one case as only building beneath is possible) |
|---|
| 1199 | IF ( gp_outside_of_building(5) == 0 .AND. & |
|---|
| 1200 | gp_outside_of_building(7) == 1 ) THEN |
|---|
| 1201 | num_gp = num_gp + 1 |
|---|
| 1202 | location(num_gp,1) = (i+1) * dx |
|---|
| 1203 | location(num_gp,2) = j * dy |
|---|
| 1204 | location(num_gp,3) = k * dz |
|---|
| 1205 | ei(num_gp) = e(k+1,j,i+1) |
|---|
| 1206 | dissi(num_gp) = diss(k+1,j,i+1) |
|---|
| 1207 | de_dxi(num_gp) = de_dx(k+1,j,i+1) |
|---|
| 1208 | de_dyi(num_gp) = de_dy(k+1,j,i+1) |
|---|
| 1209 | de_dzi(num_gp) = 0.0_wp |
|---|
| 1210 | ENDIF |
|---|
| 1211 | |
|---|
| 1212 | ! |
|---|
| 1213 | !-- If wall between gridpoint 2 and gridpoint 4, then |
|---|
| 1214 | !-- Neumann boundary condition has to be applied |
|---|
| 1215 | !-- (only one case as only building beneath is possible) |
|---|
| 1216 | IF ( gp_outside_of_building(2) == 0 .AND. & |
|---|
| 1217 | gp_outside_of_building(4) == 1 ) THEN |
|---|
| 1218 | num_gp = num_gp + 1 |
|---|
| 1219 | location(num_gp,1) = i * dx |
|---|
| 1220 | location(num_gp,2) = (j+1) * dy |
|---|
| 1221 | location(num_gp,3) = k * dz |
|---|
| 1222 | ei(num_gp) = e(k+1,j+1,i) |
|---|
| 1223 | dissi(num_gp) = diss(k+1,j+1,i) |
|---|
| 1224 | de_dxi(num_gp) = de_dx(k+1,j+1,i) |
|---|
| 1225 | de_dyi(num_gp) = de_dy(k+1,j+1,i) |
|---|
| 1226 | de_dzi(num_gp) = 0.0_wp |
|---|
| 1227 | ENDIF |
|---|
| 1228 | |
|---|
| 1229 | ! |
|---|
| 1230 | !-- If wall between gridpoint 6 and gridpoint 8, then |
|---|
| 1231 | !-- Neumann boundary condition has to be applied |
|---|
| 1232 | !-- (only one case as only building beneath is possible) |
|---|
| 1233 | IF ( gp_outside_of_building(6) == 0 .AND. & |
|---|
| 1234 | gp_outside_of_building(8) == 1 ) THEN |
|---|
| 1235 | num_gp = num_gp + 1 |
|---|
| 1236 | location(num_gp,1) = (i+1) * dx |
|---|
| 1237 | location(num_gp,2) = (j+1) * dy |
|---|
| 1238 | location(num_gp,3) = k * dz |
|---|
| 1239 | ei(num_gp) = e(k+1,j+1,i+1) |
|---|
| 1240 | dissi(num_gp) = diss(k+1,j+1,i+1) |
|---|
| 1241 | de_dxi(num_gp) = de_dx(k+1,j+1,i+1) |
|---|
| 1242 | de_dyi(num_gp) = de_dy(k+1,j+1,i+1) |
|---|
| 1243 | de_dzi(num_gp) = 0.0_wp |
|---|
| 1244 | ENDIF |
|---|
| 1245 | |
|---|
| 1246 | ! |
|---|
| 1247 | !-- Carry out the interpolation |
|---|
| 1248 | IF ( num_gp == 1 ) THEN |
|---|
| 1249 | ! |
|---|
| 1250 | !-- If only one of the gridpoints is situated outside of the |
|---|
| 1251 | !-- building, it follows that the values at the particle |
|---|
| 1252 | !-- location are the same as the gridpoint values |
|---|
| 1253 | e_int(n) = ei(num_gp) |
|---|
| 1254 | diss_int(n) = dissi(num_gp) |
|---|
| 1255 | de_dx_int(n) = de_dxi(num_gp) |
|---|
| 1256 | de_dy_int(n) = de_dyi(num_gp) |
|---|
| 1257 | de_dz_int(n) = de_dzi(num_gp) |
|---|
| 1258 | ! |
|---|
| 1259 | !-- Set flag for stochastic equation which disables calculation |
|---|
| 1260 | !-- of drift and memory term near topography. |
|---|
| 1261 | term_1_2(n) = 0.0_wp |
|---|
| 1262 | ELSE IF ( num_gp > 1 ) THEN |
|---|
| 1263 | |
|---|
| 1264 | d_sum = 0.0_wp |
|---|
| 1265 | ! |
|---|
| 1266 | !-- Evaluation of the distances between the gridpoints |
|---|
| 1267 | !-- contributing to the interpolated values, and the particle |
|---|
| 1268 | !-- location |
|---|
| 1269 | DO agp = 1, num_gp |
|---|
| 1270 | d_gp_pl(agp) = ( particles(n)%x-location(agp,1) )**2 & |
|---|
| 1271 | + ( particles(n)%y-location(agp,2) )**2 & |
|---|
| 1272 | + ( zv(n)-location(agp,3) )**2 |
|---|
| 1273 | d_sum = d_sum + d_gp_pl(agp) |
|---|
| 1274 | ENDDO |
|---|
| 1275 | |
|---|
| 1276 | ! |
|---|
| 1277 | !-- Finally the interpolation can be carried out |
|---|
| 1278 | e_int(n) = 0.0_wp |
|---|
| 1279 | diss_int(n) = 0.0_wp |
|---|
| 1280 | de_dx_int(n) = 0.0_wp |
|---|
| 1281 | de_dy_int(n) = 0.0_wp |
|---|
| 1282 | de_dz_int(n) = 0.0_wp |
|---|
| 1283 | DO agp = 1, num_gp |
|---|
| 1284 | e_int(n) = e_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 1285 | ei(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 1286 | diss_int(n) = diss_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 1287 | dissi(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 1288 | de_dx_int(n) = de_dx_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 1289 | de_dxi(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 1290 | de_dy_int(n) = de_dy_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 1291 | de_dyi(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 1292 | de_dz_int(n) = de_dz_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
|---|
| 1293 | de_dzi(agp) / ( (num_gp-1) * d_sum ) |
|---|
| 1294 | ENDDO |
|---|
| 1295 | |
|---|
| 1296 | ENDIF |
|---|
| 1297 | e_int(n) = MAX( 1E-20_wp, e_int(n) ) |
|---|
| 1298 | diss_int(n) = MAX( 1E-20_wp, diss_int(n) ) |
|---|
| 1299 | de_dx_int(n) = MAX( 1E-20_wp, de_dx_int(n) ) |
|---|
| 1300 | de_dy_int(n) = MAX( 1E-20_wp, de_dy_int(n) ) |
|---|
| 1301 | de_dz_int(n) = MAX( 1E-20_wp, de_dz_int(n) ) |
|---|
| 1302 | ! |
|---|
| 1303 | !-- Set flag for stochastic equation which disables calculation |
|---|
| 1304 | !-- of drift and memory term near topography. |
|---|
| 1305 | term_1_2(n) = 0.0_wp |
|---|
| 1306 | ENDIF |
|---|
| 1307 | ENDDO |
|---|
| 1308 | ENDDO |
|---|
| 1309 | ENDIF |
|---|
| 1310 | |
|---|
| 1311 | DO nb = 0,7 |
|---|
| 1312 | i = ip + block_offset(nb)%i_off |
|---|
| 1313 | j = jp + block_offset(nb)%j_off |
|---|
| 1314 | k = kp + block_offset(nb)%k_off |
|---|
| 1315 | |
|---|
| 1316 | DO n = start_index(nb), end_index(nb) |
|---|
| 1317 | ! |
|---|
| 1318 | !-- Vertical interpolation of the horizontally averaged SGS TKE and |
|---|
| 1319 | !-- resolved-scale velocity variances and use the interpolated values |
|---|
| 1320 | !-- to calculate the coefficient fs, which is a measure of the ratio |
|---|
| 1321 | !-- of the subgrid-scale turbulent kinetic energy to the total amount |
|---|
| 1322 | !-- of turbulent kinetic energy. |
|---|
| 1323 | IF ( k == 0 ) THEN |
|---|
| 1324 | e_mean_int = hom(0,1,8,0) |
|---|
| 1325 | ELSE |
|---|
| 1326 | e_mean_int = hom(k,1,8,0) + & |
|---|
| 1327 | ( hom(k+1,1,8,0) - hom(k,1,8,0) ) / & |
|---|
| 1328 | ( zu(k+1) - zu(k) ) * & |
|---|
| 1329 | ( zv(n) - zu(k) ) |
|---|
| 1330 | ENDIF |
|---|
| 1331 | |
|---|
| 1332 | kw = kp - 1 |
|---|
| 1333 | |
|---|
| 1334 | IF ( k == 0 ) THEN |
|---|
| 1335 | aa = hom(k+1,1,30,0) * ( zv(n) / & |
|---|
| 1336 | ( 0.5_wp * ( zu(k+1) - zu(k) ) ) ) |
|---|
| 1337 | bb = hom(k+1,1,31,0) * ( zv(n) / & |
|---|
| 1338 | ( 0.5_wp * ( zu(k+1) - zu(k) ) ) ) |
|---|
| 1339 | cc = hom(kw+1,1,32,0) * ( zv(n) / & |
|---|
| 1340 | ( 1.0_wp * ( zw(kw+1) - zw(kw) ) ) ) |
|---|
| 1341 | ELSE |
|---|
| 1342 | aa = hom(k,1,30,0) + ( hom(k+1,1,30,0) - hom(k,1,30,0) ) * & |
|---|
| 1343 | ( ( zv(n) - zu(k) ) / ( zu(k+1) - zu(k) ) ) |
|---|
| 1344 | bb = hom(k,1,31,0) + ( hom(k+1,1,31,0) - hom(k,1,31,0) ) * & |
|---|
| 1345 | ( ( zv(n) - zu(k) ) / ( zu(k+1) - zu(k) ) ) |
|---|
| 1346 | cc = hom(kw,1,32,0) + ( hom(kw+1,1,32,0)-hom(kw,1,32,0) ) * & |
|---|
| 1347 | ( ( zv(n) - zw(kw) ) / ( zw(kw+1)-zw(kw) ) ) |
|---|
| 1348 | ENDIF |
|---|
| 1349 | |
|---|
| 1350 | vv_int = ( 1.0_wp / 3.0_wp ) * ( aa + bb + cc ) |
|---|
| 1351 | ! |
|---|
| 1352 | !-- Needed to avoid NaN particle velocities. The value of 1.0 is just |
|---|
| 1353 | !-- an educated guess for the given case. |
|---|
| 1354 | IF ( vv_int + ( 2.0_wp / 3.0_wp ) * e_mean_int == 0.0_wp ) THEN |
|---|
| 1355 | fs_int(n) = 1.0_wp |
|---|
| 1356 | ELSE |
|---|
| 1357 | fs_int(n) = ( 2.0_wp / 3.0_wp ) * e_mean_int / & |
|---|
| 1358 | ( vv_int + ( 2.0_wp / 3.0_wp ) * e_mean_int ) |
|---|
| 1359 | ENDIF |
|---|
| 1360 | |
|---|
| 1361 | ENDDO |
|---|
| 1362 | ENDDO |
|---|
| 1363 | |
|---|
| 1364 | DO nb = 0, 7 |
|---|
| 1365 | DO n = start_index(nb), end_index(nb) |
|---|
| 1366 | rg(n,1) = random_gauss( iran_part, 5.0_wp ) |
|---|
| 1367 | rg(n,2) = random_gauss( iran_part, 5.0_wp ) |
|---|
| 1368 | rg(n,3) = random_gauss( iran_part, 5.0_wp ) |
|---|
| 1369 | ENDDO |
|---|
| 1370 | ENDDO |
|---|
| 1371 | |
|---|
| 1372 | DO nb = 0, 7 |
|---|
| 1373 | DO n = start_index(nb), end_index(nb) |
|---|
| 1374 | |
|---|
| 1375 | ! |
|---|
| 1376 | !-- Calculate the Lagrangian timescale according to Weil et al. (2004). |
|---|
| 1377 | lagr_timescale = ( 4.0_wp * e_int(n) + 1E-20_wp ) / & |
|---|
| 1378 | ( 3.0_wp * fs_int(n) * c_0 * diss_int(n) + 1E-20_wp ) |
|---|
| 1379 | |
|---|
| 1380 | ! |
|---|
| 1381 | !-- Calculate the next particle timestep. dt_gap is the time needed to |
|---|
| 1382 | !-- complete the current LES timestep. |
|---|
| 1383 | dt_gap = dt_3d - particles(n)%dt_sum |
|---|
| 1384 | dt_particle(n) = MIN( dt_3d, 0.025_wp * lagr_timescale, dt_gap ) |
|---|
| 1385 | |
|---|
| 1386 | ! |
|---|
| 1387 | !-- The particle timestep should not be too small in order to prevent |
|---|
| 1388 | !-- the number of particle timesteps of getting too large |
|---|
| 1389 | IF ( dt_particle(n) < dt_min_part .AND. dt_min_part < dt_gap ) THEN |
|---|
| 1390 | dt_particle(n) = dt_min_part |
|---|
| 1391 | ENDIF |
|---|
| 1392 | |
|---|
| 1393 | ! |
|---|
| 1394 | !-- Calculate the SGS velocity components |
|---|
| 1395 | IF ( particles(n)%age == 0.0_wp ) THEN |
|---|
| 1396 | ! |
|---|
| 1397 | !-- For new particles the SGS components are derived from the SGS |
|---|
| 1398 | !-- TKE. Limit the Gaussian random number to the interval |
|---|
| 1399 | !-- [-5.0*sigma, 5.0*sigma] in order to prevent the SGS velocities |
|---|
| 1400 | !-- from becoming unrealistically large. |
|---|
| 1401 | particles(n)%rvar1 = SQRT( 2.0_wp * sgs_wf_part * e_int(n) & |
|---|
| 1402 | + 1E-20_wp ) * & |
|---|
| 1403 | ( rg(n,1) - 1.0_wp ) |
|---|
| 1404 | particles(n)%rvar2 = SQRT( 2.0_wp * sgs_wf_part * e_int(n) & |
|---|
| 1405 | + 1E-20_wp ) * & |
|---|
| 1406 | ( rg(n,2) - 1.0_wp ) |
|---|
| 1407 | particles(n)%rvar3 = SQRT( 2.0_wp * sgs_wf_part * e_int(n) & |
|---|
| 1408 | + 1E-20_wp ) * & |
|---|
| 1409 | ( rg(n,3) - 1.0_wp ) |
|---|
| 1410 | |
|---|
| 1411 | ELSE |
|---|
| 1412 | ! |
|---|
| 1413 | !-- Restriction of the size of the new timestep: compared to the |
|---|
| 1414 | !-- previous timestep the increase must not exceed 200%. First, |
|---|
| 1415 | !-- check if age > age_m, in order to prevent that particles get zero |
|---|
| 1416 | !-- timestep. |
|---|
| 1417 | dt_particle_m = MERGE( dt_particle(n), & |
|---|
| 1418 | particles(n)%age - particles(n)%age_m, & |
|---|
| 1419 | particles(n)%age - particles(n)%age_m < & |
|---|
| 1420 | 1E-8_wp ) |
|---|
| 1421 | IF ( dt_particle(n) > 2.0_wp * dt_particle_m ) THEN |
|---|
| 1422 | dt_particle(n) = 2.0_wp * dt_particle_m |
|---|
| 1423 | ENDIF |
|---|
| 1424 | |
|---|
| 1425 | ! |
|---|
| 1426 | !-- For old particles the SGS components are correlated with the |
|---|
| 1427 | !-- values from the previous timestep. Random numbers have also to |
|---|
| 1428 | !-- be limited (see above). |
|---|
| 1429 | !-- As negative values for the subgrid TKE are not allowed, the |
|---|
| 1430 | !-- change of the subgrid TKE with time cannot be smaller than |
|---|
| 1431 | !-- -e_int(n)/dt_particle. This value is used as a lower boundary |
|---|
| 1432 | !-- value for the change of TKE |
|---|
| 1433 | de_dt_min = - e_int(n) / dt_particle(n) |
|---|
| 1434 | |
|---|
| 1435 | de_dt = ( e_int(n) - particles(n)%e_m ) / dt_particle_m |
|---|
| 1436 | |
|---|
| 1437 | IF ( de_dt < de_dt_min ) THEN |
|---|
| 1438 | de_dt = de_dt_min |
|---|
| 1439 | ENDIF |
|---|
| 1440 | |
|---|
| 1441 | CALL weil_stochastic_eq(particles(n)%rvar1, fs_int(n), e_int(n),& |
|---|
| 1442 | de_dx_int(n), de_dt, diss_int(n), & |
|---|
| 1443 | dt_particle(n), rg(n,1), term_1_2(n) ) |
|---|
| 1444 | |
|---|
| 1445 | CALL weil_stochastic_eq(particles(n)%rvar2, fs_int(n), e_int(n),& |
|---|
| 1446 | de_dy_int(n), de_dt, diss_int(n), & |
|---|
| 1447 | dt_particle(n), rg(n,2), term_1_2(n) ) |
|---|
| 1448 | |
|---|
| 1449 | CALL weil_stochastic_eq(particles(n)%rvar3, fs_int(n), e_int(n),& |
|---|
| 1450 | de_dz_int(n), de_dt, diss_int(n), & |
|---|
| 1451 | dt_particle(n), rg(n,3), term_1_2(n) ) |
|---|
| 1452 | |
|---|
| 1453 | ENDIF |
|---|
| 1454 | |
|---|
| 1455 | u_int(n) = u_int(n) + particles(n)%rvar1 |
|---|
| 1456 | v_int(n) = v_int(n) + particles(n)%rvar2 |
|---|
| 1457 | w_int(n) = w_int(n) + particles(n)%rvar3 |
|---|
| 1458 | ! |
|---|
| 1459 | !-- Store the SGS TKE of the current timelevel which is needed for |
|---|
| 1460 | !-- for calculating the SGS particle velocities at the next timestep |
|---|
| 1461 | particles(n)%e_m = e_int(n) |
|---|
| 1462 | ENDDO |
|---|
| 1463 | ENDDO |
|---|
| 1464 | |
|---|
| 1465 | ELSE |
|---|
| 1466 | ! |
|---|
| 1467 | !-- If no SGS velocities are used, only the particle timestep has to |
|---|
| 1468 | !-- be set |
|---|
| 1469 | dt_particle = dt_3d |
|---|
| 1470 | |
|---|
| 1471 | ENDIF |
|---|
| 1472 | |
|---|
| 1473 | dens_ratio = particle_groups(particles(1:number_of_particles)%group)%density_ratio |
|---|
| 1474 | |
|---|
| 1475 | IF ( ANY( dens_ratio == 0.0_wp ) ) THEN |
|---|
| 1476 | DO nb = 0, 7 |
|---|
| 1477 | DO n = start_index(nb), end_index(nb) |
|---|
| 1478 | |
|---|
| 1479 | ! |
|---|
| 1480 | !-- Particle advection |
|---|
| 1481 | IF ( dens_ratio(n) == 0.0_wp ) THEN |
|---|
| 1482 | ! |
|---|
| 1483 | !-- Pure passive transport (without particle inertia) |
|---|
| 1484 | particles(n)%x = xv(n) + u_int(n) * dt_particle(n) |
|---|
| 1485 | particles(n)%y = yv(n) + v_int(n) * dt_particle(n) |
|---|
| 1486 | particles(n)%z = zv(n) + w_int(n) * dt_particle(n) |
|---|
| 1487 | |
|---|
| 1488 | particles(n)%speed_x = u_int(n) |
|---|
| 1489 | particles(n)%speed_y = v_int(n) |
|---|
| 1490 | particles(n)%speed_z = w_int(n) |
|---|
| 1491 | |
|---|
| 1492 | ELSE |
|---|
| 1493 | ! |
|---|
| 1494 | !-- Transport of particles with inertia |
|---|
| 1495 | particles(n)%x = particles(n)%x + particles(n)%speed_x * & |
|---|
| 1496 | dt_particle(n) |
|---|
| 1497 | particles(n)%y = particles(n)%y + particles(n)%speed_y * & |
|---|
| 1498 | dt_particle(n) |
|---|
| 1499 | particles(n)%z = particles(n)%z + particles(n)%speed_z * & |
|---|
| 1500 | dt_particle(n) |
|---|
| 1501 | |
|---|
| 1502 | ! |
|---|
| 1503 | !-- Update of the particle velocity |
|---|
| 1504 | IF ( cloud_droplets ) THEN |
|---|
| 1505 | ! |
|---|
| 1506 | !-- Terminal velocity is computed for vertical direction (Rogers et |
|---|
| 1507 | !-- al., 1993, J. Appl. Meteorol.) |
|---|
| 1508 | diameter = particles(n)%radius * 2000.0_wp !diameter in mm |
|---|
| 1509 | IF ( diameter <= d0_rog ) THEN |
|---|
| 1510 | w_s = k_cap_rog * diameter * ( 1.0_wp - EXP( -k_low_rog * diameter ) ) |
|---|
| 1511 | ELSE |
|---|
| 1512 | w_s = a_rog - b_rog * EXP( -c_rog * diameter ) |
|---|
| 1513 | ENDIF |
|---|
| 1514 | |
|---|
| 1515 | ! |
|---|
| 1516 | !-- If selected, add random velocities following Soelch and Kaercher |
|---|
| 1517 | !-- (2010, Q. J. R. Meteorol. Soc.) |
|---|
| 1518 | IF ( use_sgs_for_particles ) THEN |
|---|
| 1519 | lagr_timescale = km(kp,jp,ip) / MAX( e(kp,jp,ip), 1.0E-20_wp ) |
|---|
| 1520 | RL = EXP( -1.0_wp * dt_3d / lagr_timescale ) |
|---|
| 1521 | sigma = SQRT( e(kp,jp,ip) ) |
|---|
| 1522 | |
|---|
| 1523 | rg1 = random_gauss( iran_part, 5.0_wp ) - 1.0_wp |
|---|
| 1524 | rg2 = random_gauss( iran_part, 5.0_wp ) - 1.0_wp |
|---|
| 1525 | rg3 = random_gauss( iran_part, 5.0_wp ) - 1.0_wp |
|---|
| 1526 | |
|---|
| 1527 | particles(n)%rvar1 = RL * particles(n)%rvar1 + & |
|---|
| 1528 | SQRT( 1.0_wp - RL**2 ) * sigma * rg1 |
|---|
| 1529 | particles(n)%rvar2 = RL * particles(n)%rvar2 + & |
|---|
| 1530 | SQRT( 1.0_wp - RL**2 ) * sigma * rg2 |
|---|
| 1531 | particles(n)%rvar3 = RL * particles(n)%rvar3 + & |
|---|
| 1532 | SQRT( 1.0_wp - RL**2 ) * sigma * rg3 |
|---|
| 1533 | |
|---|
| 1534 | particles(n)%speed_x = u_int(n) + particles(n)%rvar1 |
|---|
| 1535 | particles(n)%speed_y = v_int(n) + particles(n)%rvar2 |
|---|
| 1536 | particles(n)%speed_z = w_int(n) + particles(n)%rvar3 - w_s |
|---|
| 1537 | ELSE |
|---|
| 1538 | particles(n)%speed_x = u_int(n) |
|---|
| 1539 | particles(n)%speed_y = v_int(n) |
|---|
| 1540 | particles(n)%speed_z = w_int(n) - w_s |
|---|
| 1541 | ENDIF |
|---|
| 1542 | |
|---|
| 1543 | ELSE |
|---|
| 1544 | |
|---|
| 1545 | IF ( use_sgs_for_particles ) THEN |
|---|
| 1546 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
|---|
| 1547 | exp_term = EXP( -exp_arg * dt_particle(n) ) |
|---|
| 1548 | ELSE |
|---|
| 1549 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
|---|
| 1550 | exp_term = particle_groups(particles(n)%group)%exp_term |
|---|
| 1551 | ENDIF |
|---|
| 1552 | particles(n)%speed_x = particles(n)%speed_x * exp_term + & |
|---|
| 1553 | u_int(n) * ( 1.0_wp - exp_term ) |
|---|
| 1554 | particles(n)%speed_y = particles(n)%speed_y * exp_term + & |
|---|
| 1555 | v_int(n) * ( 1.0_wp - exp_term ) |
|---|
| 1556 | particles(n)%speed_z = particles(n)%speed_z * exp_term + & |
|---|
| 1557 | ( w_int(n) - ( 1.0_wp - dens_ratio(n) ) * & |
|---|
| 1558 | g / exp_arg ) * ( 1.0_wp - exp_term ) |
|---|
| 1559 | ENDIF |
|---|
| 1560 | |
|---|
| 1561 | ENDIF |
|---|
| 1562 | ENDDO |
|---|
| 1563 | ENDDO |
|---|
| 1564 | |
|---|
| 1565 | ELSE |
|---|
| 1566 | |
|---|
| 1567 | DO nb = 0, 7 |
|---|
| 1568 | DO n = start_index(nb), end_index(nb) |
|---|
| 1569 | ! |
|---|
| 1570 | !-- Transport of particles with inertia |
|---|
| 1571 | particles(n)%x = xv(n) + particles(n)%speed_x * dt_particle(n) |
|---|
| 1572 | particles(n)%y = yv(n) + particles(n)%speed_y * dt_particle(n) |
|---|
| 1573 | particles(n)%z = zv(n) + particles(n)%speed_z * dt_particle(n) |
|---|
| 1574 | ! |
|---|
| 1575 | !-- Update of the particle velocity |
|---|
| 1576 | IF ( cloud_droplets ) THEN |
|---|
| 1577 | ! |
|---|
| 1578 | !-- Terminal velocity is computed for vertical direction (Rogers et al., |
|---|
| 1579 | !-- 1993, J. Appl. Meteorol.) |
|---|
| 1580 | diameter = particles(n)%radius * 2000.0_wp !diameter in mm |
|---|
| 1581 | IF ( diameter <= d0_rog ) THEN |
|---|
| 1582 | w_s = k_cap_rog * diameter * ( 1.0_wp - EXP( -k_low_rog * diameter ) ) |
|---|
| 1583 | ELSE |
|---|
| 1584 | w_s = a_rog - b_rog * EXP( -c_rog * diameter ) |
|---|
| 1585 | ENDIF |
|---|
| 1586 | |
|---|
| 1587 | ! |
|---|
| 1588 | !-- If selected, add random velocities following Soelch and Kaercher |
|---|
| 1589 | !-- (2010, Q. J. R. Meteorol. Soc.) |
|---|
| 1590 | IF ( use_sgs_for_particles ) THEN |
|---|
| 1591 | lagr_timescale = km(kp,jp,ip) / MAX( e(kp,jp,ip), 1.0E-20_wp ) |
|---|
| 1592 | RL = EXP( -1.0_wp * dt_3d / lagr_timescale ) |
|---|
| 1593 | sigma = SQRT( e(kp,jp,ip) ) |
|---|
| 1594 | |
|---|
| 1595 | rg1 = random_gauss( iran_part, 5.0_wp ) - 1.0_wp |
|---|
| 1596 | rg2 = random_gauss( iran_part, 5.0_wp ) - 1.0_wp |
|---|
| 1597 | rg3 = random_gauss( iran_part, 5.0_wp ) - 1.0_wp |
|---|
| 1598 | |
|---|
| 1599 | particles(n)%rvar1 = RL * particles(n)%rvar1 + & |
|---|
| 1600 | SQRT( 1.0_wp - RL**2 ) * sigma * rg1 |
|---|
| 1601 | particles(n)%rvar2 = RL * particles(n)%rvar2 + & |
|---|
| 1602 | SQRT( 1.0_wp - RL**2 ) * sigma * rg2 |
|---|
| 1603 | particles(n)%rvar3 = RL * particles(n)%rvar3 + & |
|---|
| 1604 | SQRT( 1.0_wp - RL**2 ) * sigma * rg3 |
|---|
| 1605 | |
|---|
| 1606 | particles(n)%speed_x = u_int(n) + particles(n)%rvar1 |
|---|
| 1607 | particles(n)%speed_y = v_int(n) + particles(n)%rvar2 |
|---|
| 1608 | particles(n)%speed_z = w_int(n) + particles(n)%rvar3 - w_s |
|---|
| 1609 | ELSE |
|---|
| 1610 | particles(n)%speed_x = u_int(n) |
|---|
| 1611 | particles(n)%speed_y = v_int(n) |
|---|
| 1612 | particles(n)%speed_z = w_int(n) - w_s |
|---|
| 1613 | ENDIF |
|---|
| 1614 | |
|---|
| 1615 | ELSE |
|---|
| 1616 | |
|---|
| 1617 | IF ( use_sgs_for_particles ) THEN |
|---|
| 1618 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
|---|
| 1619 | exp_term = EXP( -exp_arg * dt_particle(n) ) |
|---|
| 1620 | ELSE |
|---|
| 1621 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
|---|
| 1622 | exp_term = particle_groups(particles(n)%group)%exp_term |
|---|
| 1623 | ENDIF |
|---|
| 1624 | particles(n)%speed_x = particles(n)%speed_x * exp_term + & |
|---|
| 1625 | u_int(n) * ( 1.0_wp - exp_term ) |
|---|
| 1626 | particles(n)%speed_y = particles(n)%speed_y * exp_term + & |
|---|
| 1627 | v_int(n) * ( 1.0_wp - exp_term ) |
|---|
| 1628 | particles(n)%speed_z = particles(n)%speed_z * exp_term + & |
|---|
| 1629 | ( w_int(n) - ( 1.0_wp - dens_ratio(n) ) * g / & |
|---|
| 1630 | exp_arg ) * ( 1.0_wp - exp_term ) |
|---|
| 1631 | ENDIF |
|---|
| 1632 | ENDDO |
|---|
| 1633 | ENDDO |
|---|
| 1634 | |
|---|
| 1635 | ENDIF |
|---|
| 1636 | |
|---|
| 1637 | ! |
|---|
| 1638 | !-- Store the old age of the particle ( needed to prevent that a |
|---|
| 1639 | !-- particle crosses several PEs during one timestep, and for the |
|---|
| 1640 | !-- evaluation of the subgrid particle velocity fluctuations ) |
|---|
| 1641 | particles(1:number_of_particles)%age_m = particles(1:number_of_particles)%age |
|---|
| 1642 | |
|---|
| 1643 | DO nb = 0, 7 |
|---|
| 1644 | DO n = start_index(nb), end_index(nb) |
|---|
| 1645 | ! |
|---|
| 1646 | !-- Increment the particle age and the total time that the particle |
|---|
| 1647 | !-- has advanced within the particle timestep procedure |
|---|
| 1648 | particles(n)%age = particles(n)%age + dt_particle(n) |
|---|
| 1649 | particles(n)%dt_sum = particles(n)%dt_sum + dt_particle(n) |
|---|
| 1650 | |
|---|
| 1651 | ! |
|---|
| 1652 | !-- Check whether there is still a particle that has not yet completed |
|---|
| 1653 | !-- the total LES timestep |
|---|
| 1654 | IF ( ( dt_3d - particles(n)%dt_sum ) > 1E-8_wp ) THEN |
|---|
| 1655 | dt_3d_reached_l = .FALSE. |
|---|
| 1656 | ENDIF |
|---|
| 1657 | |
|---|
| 1658 | ENDDO |
|---|
| 1659 | ENDDO |
|---|
| 1660 | |
|---|
| 1661 | CALL cpu_log( log_point_s(44), 'lpm_advec', 'pause' ) |
|---|
| 1662 | |
|---|
| 1663 | |
|---|
| 1664 | END SUBROUTINE lpm_advec |
|---|
| 1665 | |
|---|
| 1666 | ! Description: |
|---|
| 1667 | ! ------------ |
|---|
| 1668 | !> Calculation of subgrid-scale particle speed using the stochastic model |
|---|
| 1669 | !> of Weil et al. (2004, JAS, 61, 2877-2887). |
|---|
| 1670 | !------------------------------------------------------------------------------! |
|---|
| 1671 | SUBROUTINE weil_stochastic_eq( v_sgs, fs_n, e_n, dedxi_n, dedt_n, diss_n, & |
|---|
| 1672 | dt_n, rg_n, fac ) |
|---|
| 1673 | |
|---|
| 1674 | USE kinds |
|---|
| 1675 | |
|---|
| 1676 | USE particle_attributes, & |
|---|
| 1677 | ONLY: c_0, sgs_wf_part |
|---|
| 1678 | |
|---|
| 1679 | IMPLICIT NONE |
|---|
| 1680 | |
|---|
| 1681 | REAL(wp) :: a1 !< dummy argument |
|---|
| 1682 | REAL(wp) :: dedt_n !< time derivative of TKE at particle position |
|---|
| 1683 | REAL(wp) :: dedxi_n !< horizontal derivative of TKE at particle position |
|---|
| 1684 | REAL(wp) :: diss_n !< dissipation at particle position |
|---|
| 1685 | REAL(wp) :: dt_n !< particle timestep |
|---|
| 1686 | REAL(wp) :: e_n !< TKE at particle position |
|---|
| 1687 | REAL(wp) :: fac !< flag to identify adjacent topography |
|---|
| 1688 | REAL(wp) :: fs_n !< weighting factor to prevent that subgrid-scale particle speed becomes too large |
|---|
| 1689 | REAL(wp) :: sgs_w !< constant (1/3) |
|---|
| 1690 | REAL(wp) :: rg_n !< random number |
|---|
| 1691 | REAL(wp) :: term1 !< memory term |
|---|
| 1692 | REAL(wp) :: term2 !< drift correction term |
|---|
| 1693 | REAL(wp) :: term3 !< random term |
|---|
| 1694 | REAL(wp) :: v_sgs !< subgrid-scale velocity component |
|---|
| 1695 | |
|---|
| 1696 | !-- At first, limit TKE to a small non-zero number, in order to prevent |
|---|
| 1697 | !-- the occurrence of extremely large SGS-velocities in case TKE is zero, |
|---|
| 1698 | !-- (could occur at the simulation begin). |
|---|
| 1699 | e_n = MAX( e_n, 1E-20_wp ) |
|---|
| 1700 | ! |
|---|
| 1701 | !-- Please note, terms 1 and 2 (drift and memory term, respectively) are |
|---|
| 1702 | !-- multiplied by a flag to switch of both terms near topography. |
|---|
| 1703 | !-- This is necessary, as both terms may cause a subgrid-scale velocity build up |
|---|
| 1704 | !-- if particles are trapped in regions with very small TKE, e.g. in narrow street |
|---|
| 1705 | !-- canyons resolved by only a few grid points. Hence, term 1 and term 2 are |
|---|
| 1706 | !-- disabled if one of the adjacent grid points belongs to topography. |
|---|
| 1707 | !-- Moreover, in this case, the previous subgrid-scale component is also set |
|---|
| 1708 | !-- to zero. |
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| 1709 | |
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| 1710 | a1 = fs_n * c_0 * diss_n |
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| 1711 | ! |
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| 1712 | !-- Memory term |
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| 1713 | term1 = - a1 * v_sgs * dt_n / ( 4.0_wp * sgs_wf_part * e_n + 1E-20_wp ) & |
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| 1714 | * fac |
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| 1715 | ! |
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| 1716 | !-- Drift correction term |
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| 1717 | term2 = ( ( dedt_n * v_sgs / e_n ) + dedxi_n ) * 0.5_wp * dt_n & |
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| 1718 | * fac |
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| 1719 | ! |
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| 1720 | !-- Random term |
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| 1721 | term3 = SQRT( MAX( a1, 1E-20 ) ) * ( rg_n - 1.0_wp ) * SQRT( dt_n ) |
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| 1722 | ! |
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| 1723 | !-- In cese one of the adjacent grid-boxes belongs to topograhy, the previous |
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| 1724 | !-- subgrid-scale velocity component is set to zero, in order to prevent a |
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| 1725 | !-- velocity build-up. |
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| 1726 | !-- This case, set also previous subgrid-scale component to zero. |
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| 1727 | v_sgs = v_sgs * fac + term1 + term2 + term3 |
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| 1728 | |
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| 1729 | END SUBROUTINE weil_stochastic_eq |
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