| 1 | SUBROUTINE time_integration |
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| 2 | |
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| 3 | !--------------------------------------------------------------------------------! |
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| 4 | ! This file is part of PALM. |
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| 5 | ! |
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| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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| 8 | ! either version 3 of the License, or (at your option) any later version. |
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| 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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| 17 | ! Copyright 1997-2012 Leibniz University 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: time_integration.f90 1258 2013-11-08 16:09:09Z fricke $ |
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| 27 | ! |
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| 28 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 29 | ! acc-update-host directive for timestep removed |
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| 30 | ! |
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| 31 | ! 1241 2013-10-30 11:36:58Z heinze |
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| 32 | ! Generalize calc_mean_profile for wider use |
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| 33 | ! Determine shf and qsws in dependence on data from LSF_DATA |
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| 34 | ! Determine ug and vg in dependence on data from LSF_DATA |
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| 35 | ! 1221 2013-09-10 08:59:13Z raasch |
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| 36 | ! host update of arrays before timestep is called |
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| 37 | ! |
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| 38 | ! 1179 2013-06-14 05:57:58Z raasch |
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| 39 | ! mean profiles for reference state are only calculated if required, |
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| 40 | ! small bugfix for background communication |
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| 41 | ! |
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| 42 | ! 1171 2013-05-30 11:27:45Z raasch |
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| 43 | ! split of prognostic_equations deactivated (comment lines), for the time being |
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| 44 | ! |
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| 45 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 46 | ! asynchronous transfer of ghost point data realized for acc-optimized version: |
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| 47 | ! prognostic_equations are first called two times for those points required for |
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| 48 | ! the left-right and north-south exchange, respectively, and then for the |
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| 49 | ! remaining points, |
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| 50 | ! those parts requiring global communication moved from prognostic_equations to |
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| 51 | ! here |
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| 52 | ! |
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| 53 | ! 1115 2013-03-26 18:16:16Z hoffmann |
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| 54 | ! calculation of qr and nr is restricted to precipitation |
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| 55 | ! |
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| 56 | ! 1113 2013-03-10 02:48:14Z raasch |
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| 57 | ! GPU-porting of boundary conditions, |
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| 58 | ! openACC directives updated |
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| 59 | ! formal parameter removed from routine boundary_conds |
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| 60 | ! |
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| 61 | ! 1111 2013-03-08 23:54:10Z raasch |
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| 62 | ! +internal timestep counter for cpu statistics added, |
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| 63 | ! openACC directives updated |
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| 64 | ! |
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| 65 | ! 1092 2013-02-02 11:24:22Z raasch |
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| 66 | ! unused variables removed |
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| 67 | ! |
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| 68 | ! 1065 2012-11-22 17:42:36Z hoffmann |
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| 69 | ! exchange of diss (dissipation rate) in case of turbulence = .TRUE. added |
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| 70 | ! |
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| 71 | ! 1053 2012-11-13 17:11:03Z hoffmann |
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| 72 | ! exchange of ghost points for nr, qr added |
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| 73 | ! |
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| 74 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 75 | ! code put under GPL (PALM 3.9) |
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| 76 | ! |
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| 77 | ! 1019 2012-09-28 06:46:45Z raasch |
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| 78 | ! non-optimized version of prognostic_equations removed |
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| 79 | ! |
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| 80 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 81 | ! +call of prognostic_equations_acc |
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| 82 | ! |
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| 83 | ! 1001 2012-09-13 14:08:46Z raasch |
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| 84 | ! all actions concerning leapfrog- and upstream-spline-scheme removed |
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| 85 | ! |
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| 86 | ! 849 2012-03-15 10:35:09Z raasch |
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| 87 | ! advec_particles renamed lpm, first_call_advec_particles renamed first_call_lpm |
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| 88 | ! |
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| 89 | ! 825 2012-02-19 03:03:44Z raasch |
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| 90 | ! wang_collision_kernel renamed wang_kernel |
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| 91 | ! |
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| 92 | ! 790 2011-11-29 03:11:20Z raasch |
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| 93 | ! exchange of ghostpoints for array diss |
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| 94 | ! |
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| 95 | ! 707 2011-03-29 11:39:40Z raasch |
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| 96 | ! bc_lr/ns replaced by bc_lr/ns_cyc, calls of exchange_horiz are modified, |
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| 97 | ! adaption to sloping surface |
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| 98 | ! |
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| 99 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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| 100 | ! Calls of exchange_horiz are modified. |
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| 101 | ! Adaption to slooping surface. |
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| 102 | ! |
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| 103 | ! 449 2010-02-02 11:23:59Z raasch |
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| 104 | ! Bugfix: exchange of ghost points for prho included |
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| 105 | ! |
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| 106 | ! 410 2009-12-04 17:05:40Z letzel |
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| 107 | ! masked data output |
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| 108 | ! |
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| 109 | ! 388 2009-09-23 09:40:33Z raasch |
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| 110 | ! Using prho instead of rho in diffusvities. |
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| 111 | ! Coupling with independent precursor runs. |
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| 112 | ! Bugfix: output of particle time series only if particle advection is switched |
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| 113 | ! on |
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| 114 | ! |
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| 115 | ! 151 2008-03-07 13:42:18Z raasch |
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| 116 | ! inflow turbulence is imposed by calling new routine inflow_turbulence |
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| 117 | ! |
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| 118 | ! 108 2007-08-24 15:10:38Z letzel |
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| 119 | ! Call of new routine surface_coupler, |
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| 120 | ! presure solver is called after the first Runge-Kutta substep instead of the |
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| 121 | ! last in case that call_psolver_at_all_substeps = .F.; for this case, the |
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| 122 | ! random perturbation has to be added to the velocity fields also after the |
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| 123 | ! first substep |
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| 124 | ! |
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| 125 | ! 97 2007-06-21 08:23:15Z raasch |
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| 126 | ! diffusivities is called with argument rho in case of ocean runs, |
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| 127 | ! new argument pt_/prho_reference in calls of diffusivities, |
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| 128 | ! ghostpoint exchange for salinity and density |
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| 129 | ! |
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| 130 | ! 87 2007-05-22 15:46:47Z raasch |
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| 131 | ! var_hom renamed pr_palm |
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| 132 | ! |
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| 133 | ! 75 2007-03-22 09:54:05Z raasch |
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| 134 | ! Move call of user_actions( 'after_integration' ) below increment of times |
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| 135 | ! and counters, |
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| 136 | ! calls of prognostic_equations_.. changed to .._noopt, .._cache, and |
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| 137 | ! .._vector, these calls are now controlled by switch loop_optimization, |
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| 138 | ! uxrp, vynp eliminated, 2nd+3rd argument removed from exchange horiz, |
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| 139 | ! moisture renamed humidity |
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| 140 | ! |
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| 141 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 142 | ! |
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| 143 | ! Revision 1.8 2006/08/22 14:16:05 raasch |
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| 144 | ! Disturbances are imposed only for the last Runge-Kutta-substep |
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| 145 | ! |
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| 146 | ! Revision 1.2 2004/04/30 13:03:40 raasch |
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| 147 | ! decalpha-specific warning removed, routine name changed to time_integration, |
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| 148 | ! particle advection is carried out only once during the intermediate steps, |
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| 149 | ! impulse_advec renamed momentum_advec |
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| 150 | ! |
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| 151 | ! Revision 1.1 1997/08/11 06:19:04 raasch |
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| 152 | ! Initial revision |
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| 153 | ! |
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| 154 | ! |
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| 155 | ! Description: |
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| 156 | ! ------------ |
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| 157 | ! Integration in time of the model equations, statistical analysis and graphic |
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| 158 | ! output |
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| 159 | !------------------------------------------------------------------------------! |
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| 160 | |
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| 161 | USE advec_ws |
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| 162 | USE arrays_3d |
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| 163 | USE averaging |
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| 164 | USE buoyancy_mod |
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| 165 | USE control_parameters |
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| 166 | USE cpulog |
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| 167 | #if defined( __dvrp_graphics ) |
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| 168 | USE DVRP |
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| 169 | #endif |
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| 170 | USE grid_variables |
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| 171 | USE indices |
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| 172 | USE interaction_droplets_ptq_mod |
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| 173 | USE interfaces |
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| 174 | USE ls_forcing_mod |
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| 175 | USE particle_attributes |
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| 176 | USE pegrid |
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| 177 | USE production_e_mod |
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| 178 | USE prognostic_equations_mod |
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| 179 | USE statistics |
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| 180 | USE user_actions_mod |
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| 181 | |
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| 182 | IMPLICIT NONE |
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| 183 | |
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| 184 | CHARACTER (LEN=9) :: time_to_string |
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| 185 | |
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| 186 | ! |
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| 187 | !-- At the beginning of a simulation determine the time step as well as |
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| 188 | !-- determine and print out the run control parameters |
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| 189 | IF ( simulated_time == 0.0 ) CALL timestep |
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| 190 | |
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| 191 | CALL run_control |
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| 192 | |
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| 193 | |
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| 194 | ! |
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| 195 | !-- Data exchange between coupled models in case that a call has been omitted |
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| 196 | !-- at the end of the previous run of a job chain. |
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| 197 | IF ( coupling_mode /= 'uncoupled' .AND. run_coupled ) THEN |
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| 198 | ! |
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| 199 | !-- In case of model termination initiated by the local model the coupler |
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| 200 | !-- must not be called because this would again cause an MPI hang. |
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| 201 | DO WHILE ( time_coupling >= dt_coupling .AND. terminate_coupled == 0 ) |
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| 202 | CALL surface_coupler |
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| 203 | time_coupling = time_coupling - dt_coupling |
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| 204 | ENDDO |
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| 205 | IF (time_coupling == 0.0 .AND. time_since_reference_point < dt_coupling)& |
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| 206 | THEN |
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| 207 | time_coupling = time_since_reference_point |
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| 208 | ENDIF |
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| 209 | ENDIF |
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| 210 | |
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| 211 | |
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| 212 | #if defined( __dvrp_graphics ) |
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| 213 | ! |
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| 214 | !-- Time measurement with dvrp software |
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| 215 | CALL DVRP_LOG_EVENT( 2, current_timestep_number ) |
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| 216 | #endif |
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| 217 | |
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| 218 | ! |
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| 219 | !-- Start of the time loop |
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| 220 | DO WHILE ( simulated_time < end_time .AND. .NOT. stop_dt .AND. & |
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| 221 | .NOT. terminate_run ) |
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| 222 | |
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| 223 | CALL cpu_log( log_point_s(10), 'timesteps', 'start' ) |
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| 224 | |
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| 225 | ! |
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| 226 | !-- Determine size of next time step |
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| 227 | IF ( simulated_time /= 0.0 ) THEN |
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| 228 | CALL timestep |
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| 229 | ENDIF |
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| 230 | |
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| 231 | ! |
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| 232 | !-- Determine ug, vg and w_subs in dependence on data from external file |
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| 233 | !-- LSF_DATA |
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| 234 | IF ( large_scale_forcing .AND. lsf_vert ) THEN |
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| 235 | CALL ls_forcing_vert ( simulated_time ) |
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| 236 | ENDIF |
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| 237 | |
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| 238 | ! |
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| 239 | !-- Execute the user-defined actions |
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| 240 | CALL user_actions( 'before_timestep' ) |
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| 241 | |
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| 242 | ! |
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| 243 | !-- Start of intermediate step loop |
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| 244 | intermediate_timestep_count = 0 |
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| 245 | DO WHILE ( intermediate_timestep_count < & |
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| 246 | intermediate_timestep_count_max ) |
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| 247 | |
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| 248 | intermediate_timestep_count = intermediate_timestep_count + 1 |
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| 249 | |
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| 250 | ! |
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| 251 | !-- Set the steering factors for the prognostic equations which depend |
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| 252 | !-- on the timestep scheme |
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| 253 | CALL timestep_scheme_steering |
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| 254 | |
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| 255 | ! |
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| 256 | !-- Calculate those variables needed in the tendency terms which need |
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| 257 | !-- global communication |
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| 258 | IF ( .NOT. use_single_reference_value .AND. & |
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| 259 | .NOT. use_initial_profile_as_reference ) THEN |
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| 260 | ! |
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| 261 | !-- Horizontally averaged profiles to be used as reference state in |
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| 262 | !-- buoyancy terms (WARNING: only the respective last call of |
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| 263 | !-- calc_mean_profile defines the reference state!) |
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| 264 | IF ( .NOT. neutral ) CALL calc_mean_profile( pt, 4, 'time_int' ) |
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| 265 | IF ( ocean ) CALL calc_mean_profile( rho, 64, 'time_int' ) |
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| 266 | IF ( humidity ) CALL calc_mean_profile( vpt, 44, 'time_int' ) |
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| 267 | ENDIF |
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| 268 | |
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| 269 | IF ( .NOT. constant_diffusion ) CALL production_e_init |
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| 270 | IF ( ( ws_scheme_mom .OR. ws_scheme_sca ) .AND. & |
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| 271 | intermediate_timestep_count == 1 ) CALL ws_statistics |
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| 272 | |
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| 273 | ! |
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| 274 | !-- Solve the prognostic equations. A fast cache optimized version with |
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| 275 | !-- only one single loop is used in case of Piascek-Williams advection |
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| 276 | !-- scheme. NEC vector machines use a different version, because |
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| 277 | !-- in the other versions a good vectorization is prohibited due to |
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| 278 | !-- inlining problems. |
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| 279 | IF ( loop_optimization == 'cache' ) THEN |
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| 280 | CALL prognostic_equations_cache |
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| 281 | ELSEIF ( loop_optimization == 'vector' ) THEN |
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| 282 | CALL prognostic_equations_vector |
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| 283 | ELSEIF ( loop_optimization == 'acc' ) THEN |
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| 284 | i_left = nxl; i_right = nxr |
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| 285 | j_south = nys; j_north = nyn |
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| 286 | CALL prognostic_equations_acc |
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| 287 | |
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| 288 | ! i_left = nxl; i_right = nxl+nbgp-1 |
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| 289 | ! j_south = nys; j_north = nyn |
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| 290 | ! CALL prognostic_equations_acc |
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| 291 | ! i_left = nxr-nbgp+1; i_right = nxr |
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| 292 | ! j_south = nys; j_north = nyn |
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| 293 | ! CALL prognostic_equations_acc |
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| 294 | |
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| 295 | ! |
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| 296 | !-- Exchange of ghost points (lateral boundary conditions) |
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| 297 | IF ( background_communication ) THEN |
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| 298 | |
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| 299 | CALL cpu_log( log_point(26), 'exchange-horiz-progn', 'start' ) |
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| 300 | |
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| 301 | send_receive = 'lr' |
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| 302 | sendrecv_in_background = .TRUE. |
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| 303 | req = 0 |
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| 304 | req_count = 0 |
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| 305 | |
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| 306 | IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs |
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| 307 | on_device = .TRUE. ! to be removed after complete porting |
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| 308 | ELSE ! of ghost point exchange |
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| 309 | !$acc update host( e_p, pt_p, u_p, v_p, w_p ) |
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| 310 | ENDIF |
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| 311 | |
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| 312 | CALL exchange_horiz( u_p, nbgp ) |
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| 313 | CALL exchange_horiz( v_p, nbgp ) |
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| 314 | CALL exchange_horiz( w_p, nbgp ) |
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| 315 | CALL exchange_horiz( pt_p, nbgp ) |
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| 316 | IF ( .NOT. constant_diffusion ) CALL exchange_horiz( e_p, nbgp ) |
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| 317 | IF ( ocean ) THEN |
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| 318 | CALL exchange_horiz( sa_p, nbgp ) |
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| 319 | CALL exchange_horiz( rho, nbgp ) |
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| 320 | CALL exchange_horiz( prho, nbgp ) |
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| 321 | ENDIF |
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| 322 | IF (humidity .OR. passive_scalar) THEN |
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| 323 | CALL exchange_horiz( q_p, nbgp ) |
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| 324 | IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN |
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| 325 | CALL exchange_horiz( qr_p, nbgp ) |
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| 326 | CALL exchange_horiz( nr_p, nbgp ) |
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| 327 | ENDIF |
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| 328 | ENDIF |
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| 329 | IF ( cloud_droplets ) THEN |
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| 330 | CALL exchange_horiz( ql, nbgp ) |
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| 331 | CALL exchange_horiz( ql_c, nbgp ) |
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| 332 | CALL exchange_horiz( ql_v, nbgp ) |
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| 333 | CALL exchange_horiz( ql_vp, nbgp ) |
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| 334 | ENDIF |
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| 335 | IF ( wang_kernel .OR. turbulence ) CALL exchange_horiz( diss, nbgp ) |
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| 336 | |
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| 337 | IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs |
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| 338 | on_device = .FALSE. ! to be removed after complete porting |
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| 339 | ELSE ! of ghost point exchange |
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| 340 | !$acc update device( e_p, pt_p, u_p, v_p, w_p ) |
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| 341 | ENDIF |
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| 342 | |
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| 343 | sendrecv_in_background = .FALSE. |
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| 344 | |
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| 345 | CALL cpu_log( log_point(26), 'exchange-horiz-progn', 'pause' ) |
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| 346 | |
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| 347 | ENDIF |
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| 348 | |
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| 349 | ! i_left = nxl+nbgp; i_right = nxr-nbgp |
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| 350 | ! j_south = nys; j_north = nys+nbgp-1 |
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| 351 | ! CALL prognostic_equations_acc |
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| 352 | ! i_left = nxl+nbgp; i_right = nxr-nbgp |
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| 353 | ! j_south = nyn-nbgp+1; j_north = nyn |
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| 354 | ! CALL prognostic_equations_acc |
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| 355 | |
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| 356 | IF ( background_communication ) THEN |
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| 357 | CALL cpu_log( log_point(41), 'exchange-horiz-wait', 'start' ) |
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| 358 | #if defined( __parallel ) |
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| 359 | CALL MPI_WAITALL( req_count, req, wait_stat, ierr ) |
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| 360 | #endif |
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| 361 | CALL cpu_log( log_point(41), 'exchange-horiz-wait', 'pause' ) |
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| 362 | |
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| 363 | CALL cpu_log( log_point(26), 'exchange-horiz-progn', 'continue' ) |
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| 364 | |
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| 365 | send_receive = 'ns' |
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| 366 | sendrecv_in_background = .TRUE. |
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| 367 | req = 0 |
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| 368 | req_count = 0 |
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| 369 | |
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| 370 | IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs |
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| 371 | on_device = .TRUE. ! to be removed after complete porting |
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| 372 | ELSE ! of ghost point exchange |
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| 373 | !$acc update host( e_p, pt_p, u_p, v_p, w_p ) |
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| 374 | ENDIF |
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| 375 | |
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| 376 | CALL exchange_horiz( u_p, nbgp ) |
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| 377 | CALL exchange_horiz( v_p, nbgp ) |
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| 378 | CALL exchange_horiz( w_p, nbgp ) |
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| 379 | CALL exchange_horiz( pt_p, nbgp ) |
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| 380 | IF ( .NOT. constant_diffusion ) CALL exchange_horiz( e_p, nbgp ) |
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| 381 | IF ( ocean ) THEN |
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| 382 | CALL exchange_horiz( sa_p, nbgp ) |
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| 383 | CALL exchange_horiz( rho, nbgp ) |
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| 384 | CALL exchange_horiz( prho, nbgp ) |
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| 385 | ENDIF |
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| 386 | IF (humidity .OR. passive_scalar) THEN |
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| 387 | CALL exchange_horiz( q_p, nbgp ) |
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| 388 | IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN |
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| 389 | CALL exchange_horiz( qr_p, nbgp ) |
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| 390 | CALL exchange_horiz( nr_p, nbgp ) |
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| 391 | ENDIF |
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| 392 | ENDIF |
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| 393 | IF ( cloud_droplets ) THEN |
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| 394 | CALL exchange_horiz( ql, nbgp ) |
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| 395 | CALL exchange_horiz( ql_c, nbgp ) |
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| 396 | CALL exchange_horiz( ql_v, nbgp ) |
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| 397 | CALL exchange_horiz( ql_vp, nbgp ) |
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| 398 | ENDIF |
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| 399 | IF ( wang_kernel .OR. turbulence ) CALL exchange_horiz( diss, nbgp ) |
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| 400 | |
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| 401 | IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs |
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| 402 | on_device = .FALSE. ! to be removed after complete porting |
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| 403 | ELSE ! of ghost point exchange |
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| 404 | !$acc update device( e_p, pt_p, u_p, v_p, w_p ) |
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| 405 | ENDIF |
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| 406 | |
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| 407 | sendrecv_in_background = .FALSE. |
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| 408 | |
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| 409 | CALL cpu_log( log_point(26), 'exchange-horiz-progn', 'stop' ) |
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| 410 | |
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| 411 | ENDIF |
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| 412 | |
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| 413 | ! i_left = nxl+nbgp; i_right = nxr-nbgp |
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| 414 | ! j_south = nys+nbgp; j_north = nyn-nbgp |
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| 415 | ! CALL prognostic_equations_acc |
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| 416 | |
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| 417 | IF ( background_communication ) THEN |
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| 418 | CALL cpu_log( log_point(41), 'exchange-horiz-wait', 'continue' ) |
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| 419 | #if defined( __parallel ) |
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| 420 | CALL MPI_WAITALL( req_count, req, wait_stat, ierr ) |
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| 421 | #endif |
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| 422 | send_receive = 'al' |
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| 423 | CALL cpu_log( log_point(41), 'exchange-horiz-wait', 'stop' ) |
|---|
| 424 | ENDIF |
|---|
| 425 | |
|---|
| 426 | ENDIF |
|---|
| 427 | |
|---|
| 428 | ! |
|---|
| 429 | !-- Particle transport/physics with the Lagrangian particle model |
|---|
| 430 | !-- (only once during intermediate steps, because it uses an Euler-step) |
|---|
| 431 | !-- ### particle model should be moved before prognostic_equations, in order |
|---|
| 432 | !-- to regard droplet interactions directly |
|---|
| 433 | IF ( particle_advection .AND. & |
|---|
| 434 | simulated_time >= particle_advection_start .AND. & |
|---|
| 435 | intermediate_timestep_count == 1 ) THEN |
|---|
| 436 | CALL lpm |
|---|
| 437 | first_call_lpm = .FALSE. |
|---|
| 438 | ENDIF |
|---|
| 439 | |
|---|
| 440 | ! |
|---|
| 441 | !-- Interaction of droplets with temperature and specific humidity. |
|---|
| 442 | !-- Droplet condensation and evaporation is calculated within |
|---|
| 443 | !-- advec_particles. |
|---|
| 444 | IF ( cloud_droplets .AND. & |
|---|
| 445 | intermediate_timestep_count == intermediate_timestep_count_max )& |
|---|
| 446 | THEN |
|---|
| 447 | CALL interaction_droplets_ptq |
|---|
| 448 | ENDIF |
|---|
| 449 | |
|---|
| 450 | ! |
|---|
| 451 | !-- Exchange of ghost points (lateral boundary conditions) |
|---|
| 452 | IF ( .NOT. background_communication ) THEN |
|---|
| 453 | |
|---|
| 454 | CALL cpu_log( log_point(26), 'exchange-horiz-progn', 'start' ) |
|---|
| 455 | |
|---|
| 456 | IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs |
|---|
| 457 | on_device = .TRUE. ! to be removed after complete porting |
|---|
| 458 | ELSE ! of ghost point exchange |
|---|
| 459 | !$acc update host( e_p, pt_p, u_p, v_p, w_p ) |
|---|
| 460 | ENDIF |
|---|
| 461 | |
|---|
| 462 | CALL exchange_horiz( u_p, nbgp ) |
|---|
| 463 | CALL exchange_horiz( v_p, nbgp ) |
|---|
| 464 | CALL exchange_horiz( w_p, nbgp ) |
|---|
| 465 | CALL exchange_horiz( pt_p, nbgp ) |
|---|
| 466 | IF ( .NOT. constant_diffusion ) CALL exchange_horiz( e_p, nbgp ) |
|---|
| 467 | IF ( ocean ) THEN |
|---|
| 468 | CALL exchange_horiz( sa_p, nbgp ) |
|---|
| 469 | CALL exchange_horiz( rho, nbgp ) |
|---|
| 470 | CALL exchange_horiz( prho, nbgp ) |
|---|
| 471 | ENDIF |
|---|
| 472 | IF (humidity .OR. passive_scalar) THEN |
|---|
| 473 | CALL exchange_horiz( q_p, nbgp ) |
|---|
| 474 | IF ( cloud_physics .AND. icloud_scheme == 0 .AND. & |
|---|
| 475 | precipitation ) THEN |
|---|
| 476 | CALL exchange_horiz( qr_p, nbgp ) |
|---|
| 477 | CALL exchange_horiz( nr_p, nbgp ) |
|---|
| 478 | ENDIF |
|---|
| 479 | ENDIF |
|---|
| 480 | IF ( cloud_droplets ) THEN |
|---|
| 481 | CALL exchange_horiz( ql, nbgp ) |
|---|
| 482 | CALL exchange_horiz( ql_c, nbgp ) |
|---|
| 483 | CALL exchange_horiz( ql_v, nbgp ) |
|---|
| 484 | CALL exchange_horiz( ql_vp, nbgp ) |
|---|
| 485 | ENDIF |
|---|
| 486 | IF ( wang_kernel .OR. turbulence ) CALL exchange_horiz( diss, nbgp ) |
|---|
| 487 | |
|---|
| 488 | IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs |
|---|
| 489 | on_device = .FALSE. ! to be removed after complete porting |
|---|
| 490 | ELSE ! of ghost point exchange |
|---|
| 491 | !$acc update device( e_p, pt_p, u_p, v_p, w_p ) |
|---|
| 492 | ENDIF |
|---|
| 493 | |
|---|
| 494 | CALL cpu_log( log_point(26), 'exchange-horiz-progn', 'stop' ) |
|---|
| 495 | |
|---|
| 496 | ENDIF |
|---|
| 497 | |
|---|
| 498 | ! |
|---|
| 499 | !-- Boundary conditions for the prognostic quantities (except of the |
|---|
| 500 | !-- velocities at the outflow in case of a non-cyclic lateral wall) |
|---|
| 501 | CALL boundary_conds |
|---|
| 502 | |
|---|
| 503 | ! |
|---|
| 504 | !-- Swap the time levels in preparation for the next time step. |
|---|
| 505 | CALL swap_timelevel |
|---|
| 506 | |
|---|
| 507 | ! |
|---|
| 508 | !-- Temperature offset must be imposed at cyclic boundaries in x-direction |
|---|
| 509 | !-- when a sloping surface is used |
|---|
| 510 | IF ( sloping_surface ) THEN |
|---|
| 511 | IF ( nxl == 0 ) pt(:,:,nxlg:nxl-1) = pt(:,:,nxlg:nxl-1) - & |
|---|
| 512 | pt_slope_offset |
|---|
| 513 | IF ( nxr == nx ) pt(:,:,nxr+1:nxrg) = pt(:,:,nxr+1:nxrg) + & |
|---|
| 514 | pt_slope_offset |
|---|
| 515 | ENDIF |
|---|
| 516 | |
|---|
| 517 | ! |
|---|
| 518 | !-- Impose a turbulent inflow using the recycling method |
|---|
| 519 | IF ( turbulent_inflow ) CALL inflow_turbulence |
|---|
| 520 | |
|---|
| 521 | ! |
|---|
| 522 | !-- Impose a random perturbation on the horizontal velocity field |
|---|
| 523 | IF ( create_disturbances .AND. & |
|---|
| 524 | ( call_psolver_at_all_substeps .AND. & |
|---|
| 525 | intermediate_timestep_count == intermediate_timestep_count_max )& |
|---|
| 526 | .OR. ( .NOT. call_psolver_at_all_substeps .AND. & |
|---|
| 527 | intermediate_timestep_count == 1 ) ) & |
|---|
| 528 | THEN |
|---|
| 529 | time_disturb = time_disturb + dt_3d |
|---|
| 530 | IF ( time_disturb >= dt_disturb ) THEN |
|---|
| 531 | !$acc update host( u, v ) |
|---|
| 532 | IF ( numprocs == 1 ) on_device = .FALSE. ! workaround, remove later |
|---|
| 533 | IF ( hom(nzb+5,1,pr_palm,0) < disturbance_energy_limit ) THEN |
|---|
| 534 | CALL disturb_field( nzb_u_inner, tend, u ) |
|---|
| 535 | CALL disturb_field( nzb_v_inner, tend, v ) |
|---|
| 536 | ELSEIF ( .NOT. bc_lr_cyc .OR. .NOT. bc_ns_cyc ) THEN |
|---|
| 537 | ! |
|---|
| 538 | !-- Runs with a non-cyclic lateral wall need perturbations |
|---|
| 539 | !-- near the inflow throughout the whole simulation |
|---|
| 540 | dist_range = 1 |
|---|
| 541 | CALL disturb_field( nzb_u_inner, tend, u ) |
|---|
| 542 | CALL disturb_field( nzb_v_inner, tend, v ) |
|---|
| 543 | dist_range = 0 |
|---|
| 544 | ENDIF |
|---|
| 545 | IF ( numprocs == 1 ) on_device = .TRUE. ! workaround, remove later |
|---|
| 546 | !$acc update device( u, v ) |
|---|
| 547 | time_disturb = time_disturb - dt_disturb |
|---|
| 548 | ENDIF |
|---|
| 549 | ENDIF |
|---|
| 550 | |
|---|
| 551 | ! |
|---|
| 552 | !-- Reduce the velocity divergence via the equation for perturbation |
|---|
| 553 | !-- pressure. |
|---|
| 554 | IF ( intermediate_timestep_count == 1 .OR. & |
|---|
| 555 | call_psolver_at_all_substeps ) THEN |
|---|
| 556 | CALL pres |
|---|
| 557 | ENDIF |
|---|
| 558 | |
|---|
| 559 | ! |
|---|
| 560 | !-- If required, compute liquid water content |
|---|
| 561 | IF ( cloud_physics ) THEN |
|---|
| 562 | CALL calc_liquid_water_content |
|---|
| 563 | !$acc update device( ql ) |
|---|
| 564 | ENDIF |
|---|
| 565 | ! |
|---|
| 566 | !-- If required, compute virtual potential temperature |
|---|
| 567 | IF ( humidity ) THEN |
|---|
| 568 | CALL compute_vpt |
|---|
| 569 | !$acc update device( vpt ) |
|---|
| 570 | ENDIF |
|---|
| 571 | ! |
|---|
| 572 | !-- Compute the diffusion quantities |
|---|
| 573 | IF ( .NOT. constant_diffusion ) THEN |
|---|
| 574 | |
|---|
| 575 | ! |
|---|
| 576 | !-- First the vertical fluxes in the Prandtl layer are being computed |
|---|
| 577 | IF ( prandtl_layer ) THEN |
|---|
| 578 | CALL cpu_log( log_point(19), 'prandtl_fluxes', 'start' ) |
|---|
| 579 | CALL prandtl_fluxes |
|---|
| 580 | CALL cpu_log( log_point(19), 'prandtl_fluxes', 'stop' ) |
|---|
| 581 | ENDIF |
|---|
| 582 | |
|---|
| 583 | ! |
|---|
| 584 | !-- Determine shf and qsws in dependence on data from external file |
|---|
| 585 | !-- LSF_DATA |
|---|
| 586 | IF ( ( large_scale_forcing .AND. lsf_surf ) .AND. & |
|---|
| 587 | intermediate_timestep_count == intermediate_timestep_count_max )& |
|---|
| 588 | THEN |
|---|
| 589 | CALL ls_forcing_surf ( simulated_time ) |
|---|
| 590 | ENDIF |
|---|
| 591 | |
|---|
| 592 | ! |
|---|
| 593 | !-- Compute the diffusion coefficients |
|---|
| 594 | CALL cpu_log( log_point(17), 'diffusivities', 'start' ) |
|---|
| 595 | IF ( .NOT. humidity ) THEN |
|---|
| 596 | IF ( ocean ) THEN |
|---|
| 597 | CALL diffusivities( prho, prho_reference ) |
|---|
| 598 | ELSE |
|---|
| 599 | CALL diffusivities( pt, pt_reference ) |
|---|
| 600 | ENDIF |
|---|
| 601 | ELSE |
|---|
| 602 | CALL diffusivities( vpt, pt_reference ) |
|---|
| 603 | ENDIF |
|---|
| 604 | CALL cpu_log( log_point(17), 'diffusivities', 'stop' ) |
|---|
| 605 | |
|---|
| 606 | ENDIF |
|---|
| 607 | |
|---|
| 608 | ENDDO ! Intermediate step loop |
|---|
| 609 | |
|---|
| 610 | ! |
|---|
| 611 | !-- Increase simulation time and output times |
|---|
| 612 | nr_timesteps_this_run = nr_timesteps_this_run + 1 |
|---|
| 613 | current_timestep_number = current_timestep_number + 1 |
|---|
| 614 | simulated_time = simulated_time + dt_3d |
|---|
| 615 | simulated_time_chr = time_to_string( simulated_time ) |
|---|
| 616 | time_since_reference_point = simulated_time - coupling_start_time |
|---|
| 617 | |
|---|
| 618 | IF ( simulated_time >= skip_time_data_output_av ) THEN |
|---|
| 619 | time_do_av = time_do_av + dt_3d |
|---|
| 620 | ENDIF |
|---|
| 621 | IF ( simulated_time >= skip_time_do2d_xy ) THEN |
|---|
| 622 | time_do2d_xy = time_do2d_xy + dt_3d |
|---|
| 623 | ENDIF |
|---|
| 624 | IF ( simulated_time >= skip_time_do2d_xz ) THEN |
|---|
| 625 | time_do2d_xz = time_do2d_xz + dt_3d |
|---|
| 626 | ENDIF |
|---|
| 627 | IF ( simulated_time >= skip_time_do2d_yz ) THEN |
|---|
| 628 | time_do2d_yz = time_do2d_yz + dt_3d |
|---|
| 629 | ENDIF |
|---|
| 630 | IF ( simulated_time >= skip_time_do3d ) THEN |
|---|
| 631 | time_do3d = time_do3d + dt_3d |
|---|
| 632 | ENDIF |
|---|
| 633 | DO mid = 1, masks |
|---|
| 634 | IF ( simulated_time >= skip_time_domask(mid) ) THEN |
|---|
| 635 | time_domask(mid)= time_domask(mid) + dt_3d |
|---|
| 636 | ENDIF |
|---|
| 637 | ENDDO |
|---|
| 638 | time_dvrp = time_dvrp + dt_3d |
|---|
| 639 | IF ( simulated_time >= skip_time_dosp ) THEN |
|---|
| 640 | time_dosp = time_dosp + dt_3d |
|---|
| 641 | ENDIF |
|---|
| 642 | time_dots = time_dots + dt_3d |
|---|
| 643 | IF ( .NOT. first_call_lpm ) THEN |
|---|
| 644 | time_dopts = time_dopts + dt_3d |
|---|
| 645 | ENDIF |
|---|
| 646 | IF ( simulated_time >= skip_time_dopr ) THEN |
|---|
| 647 | time_dopr = time_dopr + dt_3d |
|---|
| 648 | ENDIF |
|---|
| 649 | time_dopr_listing = time_dopr_listing + dt_3d |
|---|
| 650 | time_run_control = time_run_control + dt_3d |
|---|
| 651 | |
|---|
| 652 | ! |
|---|
| 653 | !-- Data exchange between coupled models |
|---|
| 654 | IF ( coupling_mode /= 'uncoupled' .AND. run_coupled ) THEN |
|---|
| 655 | time_coupling = time_coupling + dt_3d |
|---|
| 656 | |
|---|
| 657 | ! |
|---|
| 658 | !-- In case of model termination initiated by the local model |
|---|
| 659 | !-- (terminate_coupled > 0), the coupler must be skipped because it would |
|---|
| 660 | !-- cause an MPI intercomminucation hang. |
|---|
| 661 | !-- If necessary, the coupler will be called at the beginning of the |
|---|
| 662 | !-- next restart run. |
|---|
| 663 | DO WHILE ( time_coupling >= dt_coupling .AND. terminate_coupled == 0 ) |
|---|
| 664 | CALL surface_coupler |
|---|
| 665 | time_coupling = time_coupling - dt_coupling |
|---|
| 666 | ENDDO |
|---|
| 667 | ENDIF |
|---|
| 668 | |
|---|
| 669 | ! |
|---|
| 670 | !-- Execute user-defined actions |
|---|
| 671 | CALL user_actions( 'after_integration' ) |
|---|
| 672 | |
|---|
| 673 | ! |
|---|
| 674 | !-- If Galilei transformation is used, determine the distance that the |
|---|
| 675 | !-- model has moved so far |
|---|
| 676 | IF ( galilei_transformation ) THEN |
|---|
| 677 | advected_distance_x = advected_distance_x + u_gtrans * dt_3d |
|---|
| 678 | advected_distance_y = advected_distance_y + v_gtrans * dt_3d |
|---|
| 679 | ENDIF |
|---|
| 680 | |
|---|
| 681 | ! |
|---|
| 682 | !-- Check, if restart is necessary (because cpu-time is expiring or |
|---|
| 683 | !-- because it is forced by user) and set stop flag |
|---|
| 684 | !-- This call is skipped if the remote model has already initiated a restart. |
|---|
| 685 | IF ( .NOT. terminate_run ) CALL check_for_restart |
|---|
| 686 | |
|---|
| 687 | ! |
|---|
| 688 | !-- Carry out statistical analysis and output at the requested output times. |
|---|
| 689 | !-- The MOD function is used for calculating the output time counters (like |
|---|
| 690 | !-- time_dopr) in order to regard a possible decrease of the output time |
|---|
| 691 | !-- interval in case of restart runs |
|---|
| 692 | |
|---|
| 693 | ! |
|---|
| 694 | !-- Set a flag indicating that so far no statistics have been created |
|---|
| 695 | !-- for this time step |
|---|
| 696 | flow_statistics_called = .FALSE. |
|---|
| 697 | |
|---|
| 698 | ! |
|---|
| 699 | !-- If required, call flow_statistics for averaging in time |
|---|
| 700 | IF ( averaging_interval_pr /= 0.0 .AND. & |
|---|
| 701 | ( dt_dopr - time_dopr ) <= averaging_interval_pr .AND. & |
|---|
| 702 | simulated_time >= skip_time_dopr ) THEN |
|---|
| 703 | time_dopr_av = time_dopr_av + dt_3d |
|---|
| 704 | IF ( time_dopr_av >= dt_averaging_input_pr ) THEN |
|---|
| 705 | do_sum = .TRUE. |
|---|
| 706 | time_dopr_av = MOD( time_dopr_av, & |
|---|
| 707 | MAX( dt_averaging_input_pr, dt_3d ) ) |
|---|
| 708 | ENDIF |
|---|
| 709 | ENDIF |
|---|
| 710 | IF ( do_sum ) CALL flow_statistics |
|---|
| 711 | |
|---|
| 712 | ! |
|---|
| 713 | !-- Sum-up 3d-arrays for later output of time-averaged 2d/3d/masked data |
|---|
| 714 | IF ( averaging_interval /= 0.0 .AND. & |
|---|
| 715 | ( dt_data_output_av - time_do_av ) <= averaging_interval .AND. & |
|---|
| 716 | simulated_time >= skip_time_data_output_av ) & |
|---|
| 717 | THEN |
|---|
| 718 | time_do_sla = time_do_sla + dt_3d |
|---|
| 719 | IF ( time_do_sla >= dt_averaging_input ) THEN |
|---|
| 720 | CALL sum_up_3d_data |
|---|
| 721 | average_count_3d = average_count_3d + 1 |
|---|
| 722 | time_do_sla = MOD( time_do_sla, MAX( dt_averaging_input, dt_3d ) ) |
|---|
| 723 | ENDIF |
|---|
| 724 | ENDIF |
|---|
| 725 | |
|---|
| 726 | ! |
|---|
| 727 | !-- Calculate spectra for time averaging |
|---|
| 728 | IF ( averaging_interval_sp /= 0.0 .AND. & |
|---|
| 729 | ( dt_dosp - time_dosp ) <= averaging_interval_sp .AND. & |
|---|
| 730 | simulated_time >= skip_time_dosp ) THEN |
|---|
| 731 | time_dosp_av = time_dosp_av + dt_3d |
|---|
| 732 | IF ( time_dosp_av >= dt_averaging_input_pr ) THEN |
|---|
| 733 | CALL calc_spectra |
|---|
| 734 | time_dosp_av = MOD( time_dosp_av, & |
|---|
| 735 | MAX( dt_averaging_input_pr, dt_3d ) ) |
|---|
| 736 | ENDIF |
|---|
| 737 | ENDIF |
|---|
| 738 | |
|---|
| 739 | ! |
|---|
| 740 | !-- Computation and output of run control parameters. |
|---|
| 741 | !-- This is also done whenever perturbations have been imposed |
|---|
| 742 | IF ( time_run_control >= dt_run_control .OR. & |
|---|
| 743 | timestep_scheme(1:5) /= 'runge' .OR. disturbance_created ) & |
|---|
| 744 | THEN |
|---|
| 745 | CALL run_control |
|---|
| 746 | IF ( time_run_control >= dt_run_control ) THEN |
|---|
| 747 | time_run_control = MOD( time_run_control, & |
|---|
| 748 | MAX( dt_run_control, dt_3d ) ) |
|---|
| 749 | ENDIF |
|---|
| 750 | ENDIF |
|---|
| 751 | |
|---|
| 752 | ! |
|---|
| 753 | !-- Profile output (ASCII) on file |
|---|
| 754 | IF ( time_dopr_listing >= dt_dopr_listing ) THEN |
|---|
| 755 | CALL print_1d |
|---|
| 756 | time_dopr_listing = MOD( time_dopr_listing, MAX( dt_dopr_listing, & |
|---|
| 757 | dt_3d ) ) |
|---|
| 758 | ENDIF |
|---|
| 759 | |
|---|
| 760 | ! |
|---|
| 761 | !-- Graphic output for PROFIL |
|---|
| 762 | IF ( time_dopr >= dt_dopr ) THEN |
|---|
| 763 | IF ( dopr_n /= 0 ) CALL data_output_profiles |
|---|
| 764 | time_dopr = MOD( time_dopr, MAX( dt_dopr, dt_3d ) ) |
|---|
| 765 | time_dopr_av = 0.0 ! due to averaging (see above) |
|---|
| 766 | ENDIF |
|---|
| 767 | |
|---|
| 768 | ! |
|---|
| 769 | !-- Graphic output for time series |
|---|
| 770 | IF ( time_dots >= dt_dots ) THEN |
|---|
| 771 | CALL data_output_tseries |
|---|
| 772 | time_dots = MOD( time_dots, MAX( dt_dots, dt_3d ) ) |
|---|
| 773 | ENDIF |
|---|
| 774 | |
|---|
| 775 | ! |
|---|
| 776 | !-- Output of spectra (formatted for use with PROFIL), in case of no |
|---|
| 777 | !-- time averaging, spectra has to be calculated before |
|---|
| 778 | IF ( time_dosp >= dt_dosp ) THEN |
|---|
| 779 | IF ( average_count_sp == 0 ) CALL calc_spectra |
|---|
| 780 | CALL data_output_spectra |
|---|
| 781 | time_dosp = MOD( time_dosp, MAX( dt_dosp, dt_3d ) ) |
|---|
| 782 | ENDIF |
|---|
| 783 | |
|---|
| 784 | ! |
|---|
| 785 | !-- 2d-data output (cross-sections) |
|---|
| 786 | IF ( time_do2d_xy >= dt_do2d_xy ) THEN |
|---|
| 787 | CALL data_output_2d( 'xy', 0 ) |
|---|
| 788 | time_do2d_xy = MOD( time_do2d_xy, MAX( dt_do2d_xy, dt_3d ) ) |
|---|
| 789 | ENDIF |
|---|
| 790 | IF ( time_do2d_xz >= dt_do2d_xz ) THEN |
|---|
| 791 | CALL data_output_2d( 'xz', 0 ) |
|---|
| 792 | time_do2d_xz = MOD( time_do2d_xz, MAX( dt_do2d_xz, dt_3d ) ) |
|---|
| 793 | ENDIF |
|---|
| 794 | IF ( time_do2d_yz >= dt_do2d_yz ) THEN |
|---|
| 795 | CALL data_output_2d( 'yz', 0 ) |
|---|
| 796 | time_do2d_yz = MOD( time_do2d_yz, MAX( dt_do2d_yz, dt_3d ) ) |
|---|
| 797 | ENDIF |
|---|
| 798 | |
|---|
| 799 | ! |
|---|
| 800 | !-- 3d-data output (volume data) |
|---|
| 801 | IF ( time_do3d >= dt_do3d ) THEN |
|---|
| 802 | CALL data_output_3d( 0 ) |
|---|
| 803 | time_do3d = MOD( time_do3d, MAX( dt_do3d, dt_3d ) ) |
|---|
| 804 | ENDIF |
|---|
| 805 | |
|---|
| 806 | ! |
|---|
| 807 | !-- masked data output |
|---|
| 808 | DO mid = 1, masks |
|---|
| 809 | IF ( time_domask(mid) >= dt_domask(mid) ) THEN |
|---|
| 810 | CALL data_output_mask( 0 ) |
|---|
| 811 | time_domask(mid) = MOD( time_domask(mid), & |
|---|
| 812 | MAX( dt_domask(mid), dt_3d ) ) |
|---|
| 813 | ENDIF |
|---|
| 814 | ENDDO |
|---|
| 815 | |
|---|
| 816 | ! |
|---|
| 817 | !-- Output of time-averaged 2d/3d/masked data |
|---|
| 818 | IF ( time_do_av >= dt_data_output_av ) THEN |
|---|
| 819 | CALL average_3d_data |
|---|
| 820 | CALL data_output_2d( 'xy', 1 ) |
|---|
| 821 | CALL data_output_2d( 'xz', 1 ) |
|---|
| 822 | CALL data_output_2d( 'yz', 1 ) |
|---|
| 823 | CALL data_output_3d( 1 ) |
|---|
| 824 | DO mid = 1, masks |
|---|
| 825 | CALL data_output_mask( 1 ) |
|---|
| 826 | ENDDO |
|---|
| 827 | time_do_av = MOD( time_do_av, MAX( dt_data_output_av, dt_3d ) ) |
|---|
| 828 | ENDIF |
|---|
| 829 | |
|---|
| 830 | ! |
|---|
| 831 | !-- Output of particle time series |
|---|
| 832 | IF ( particle_advection ) THEN |
|---|
| 833 | IF ( time_dopts >= dt_dopts .OR. & |
|---|
| 834 | ( simulated_time >= particle_advection_start .AND. & |
|---|
| 835 | first_call_lpm ) ) THEN |
|---|
| 836 | CALL data_output_ptseries |
|---|
| 837 | time_dopts = MOD( time_dopts, MAX( dt_dopts, dt_3d ) ) |
|---|
| 838 | ENDIF |
|---|
| 839 | ENDIF |
|---|
| 840 | |
|---|
| 841 | ! |
|---|
| 842 | !-- Output of dvrp-graphics (isosurface, particles, slicer) |
|---|
| 843 | #if defined( __dvrp_graphics ) |
|---|
| 844 | CALL DVRP_LOG_EVENT( -2, current_timestep_number-1 ) |
|---|
| 845 | #endif |
|---|
| 846 | IF ( time_dvrp >= dt_dvrp ) THEN |
|---|
| 847 | CALL data_output_dvrp |
|---|
| 848 | time_dvrp = MOD( time_dvrp, MAX( dt_dvrp, dt_3d ) ) |
|---|
| 849 | ENDIF |
|---|
| 850 | #if defined( __dvrp_graphics ) |
|---|
| 851 | CALL DVRP_LOG_EVENT( 2, current_timestep_number ) |
|---|
| 852 | #endif |
|---|
| 853 | |
|---|
| 854 | ! |
|---|
| 855 | !-- If required, set the heat flux for the next time step at a random value |
|---|
| 856 | IF ( constant_heatflux .AND. random_heatflux ) CALL disturb_heatflux |
|---|
| 857 | |
|---|
| 858 | ! |
|---|
| 859 | !-- Execute user-defined actions |
|---|
| 860 | CALL user_actions( 'after_timestep' ) |
|---|
| 861 | |
|---|
| 862 | CALL cpu_log( log_point_s(10), 'timesteps', 'stop' ) |
|---|
| 863 | |
|---|
| 864 | |
|---|
| 865 | ENDDO ! time loop |
|---|
| 866 | |
|---|
| 867 | #if defined( __dvrp_graphics ) |
|---|
| 868 | CALL DVRP_LOG_EVENT( -2, current_timestep_number ) |
|---|
| 869 | #endif |
|---|
| 870 | |
|---|
| 871 | END SUBROUTINE time_integration |
|---|
