[1] | 1 | SUBROUTINE time_integration |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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| 4 | ! Actual revisions: |
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| 5 | ! ----------------- |
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[98] | 6 | ! |
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[77] | 7 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| 10 | ! $Id: time_integration.f90 98 2007-06-21 09:36:33Z raasch $ |
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| 11 | ! |
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[98] | 12 | ! 97 2007-06-21 08:23:15Z raasch |
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| 13 | ! diffusivities is called with argument rho in case of ocean runs, |
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| 14 | ! new argument pt_/prho_reference in calls of diffusivities, |
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| 15 | ! ghostpoint exchange for salinity and density |
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| 16 | ! |
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[90] | 17 | ! 87 2007-05-22 15:46:47Z raasch |
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| 18 | ! var_hom renamed pr_palm |
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| 19 | ! |
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[77] | 20 | ! 75 2007-03-22 09:54:05Z raasch |
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[46] | 21 | ! Move call of user_actions( 'after_integration' ) below increment of times |
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[63] | 22 | ! and counters, |
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| 23 | ! calls of prognostic_equations_.. changed to .._noopt, .._cache, and |
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[75] | 24 | ! .._vector, these calls are now controlled by switch loop_optimization, |
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| 25 | ! uxrp, vynp eliminated, 2nd+3rd argument removed from exchange horiz, |
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| 26 | ! moisture renamed humidity |
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[1] | 27 | ! |
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[3] | 28 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 29 | ! |
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[1] | 30 | ! Revision 1.8 2006/08/22 14:16:05 raasch |
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| 31 | ! Disturbances are imposed only for the last Runge-Kutta-substep |
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| 32 | ! |
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| 33 | ! Revision 1.2 2004/04/30 13:03:40 raasch |
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| 34 | ! decalpha-specific warning removed, routine name changed to time_integration, |
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| 35 | ! particle advection is carried out only once during the intermediate steps, |
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| 36 | ! impulse_advec renamed momentum_advec |
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| 37 | ! |
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| 38 | ! Revision 1.1 1997/08/11 06:19:04 raasch |
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| 39 | ! Initial revision |
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| 40 | ! |
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| 41 | ! |
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| 42 | ! Description: |
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| 43 | ! ------------ |
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| 44 | ! Integration in time of the model equations, statistical analysis and graphic |
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| 45 | ! output |
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| 46 | !------------------------------------------------------------------------------! |
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| 47 | |
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| 48 | USE arrays_3d |
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| 49 | USE averaging |
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| 50 | USE control_parameters |
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| 51 | USE cpulog |
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| 52 | #if defined( __dvrp_graphics ) |
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| 53 | USE DVRP |
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| 54 | #endif |
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| 55 | USE grid_variables |
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| 56 | USE indices |
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| 57 | USE interaction_droplets_ptq_mod |
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| 58 | USE interfaces |
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| 59 | USE particle_attributes |
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| 60 | USE pegrid |
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| 61 | USE prognostic_equations_mod |
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| 62 | USE statistics |
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| 63 | USE user_actions_mod |
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| 64 | |
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| 65 | IMPLICIT NONE |
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| 66 | |
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| 67 | CHARACTER (LEN=9) :: time_to_string |
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| 68 | INTEGER :: i, j, k |
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| 69 | |
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| 70 | ! |
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| 71 | !-- At the beginning of a simulation determine the time step as well as |
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| 72 | !-- determine and print out the run control parameters |
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| 73 | IF ( simulated_time == 0.0 ) CALL timestep |
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| 74 | CALL run_control |
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| 75 | |
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| 76 | #if defined( __dvrp_graphics ) |
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| 77 | ! |
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| 78 | !-- Time measurement with dvrp software |
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| 79 | CALL DVRP_LOG_EVENT( 2, current_timestep_number ) |
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| 80 | #endif |
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| 81 | |
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| 82 | ! |
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| 83 | !-- Start of the time loop |
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| 84 | DO WHILE ( simulated_time < end_time .AND. .NOT. stop_dt .AND. & |
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| 85 | .NOT. terminate_run ) |
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| 86 | |
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| 87 | CALL cpu_log( log_point_s(10), 'timesteps', 'start' ) |
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| 88 | |
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| 89 | ! |
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| 90 | !-- Determine size of next time step |
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| 91 | IF ( simulated_time /= 0.0 ) CALL timestep |
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| 92 | |
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| 93 | ! |
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| 94 | !-- Execute the user-defined actions |
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| 95 | CALL user_actions( 'before_timestep' ) |
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| 96 | |
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| 97 | ! |
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| 98 | !-- Start of intermediate step loop |
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| 99 | intermediate_timestep_count = 0 |
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| 100 | DO WHILE ( intermediate_timestep_count < & |
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| 101 | intermediate_timestep_count_max ) |
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| 102 | |
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| 103 | intermediate_timestep_count = intermediate_timestep_count + 1 |
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| 104 | |
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| 105 | ! |
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| 106 | !-- Set the steering factors for the prognostic equations which depend |
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| 107 | !-- on the timestep scheme |
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| 108 | CALL timestep_scheme_steering |
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| 109 | |
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| 110 | ! |
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| 111 | !-- Solve the prognostic equations. A fast cache optimized version with |
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| 112 | !-- only one single loop is used in case of Piascek-Williams advection |
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| 113 | !-- scheme. NEC vector machines use a different version, because |
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| 114 | !-- in the other versions a good vectorization is prohibited due to |
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| 115 | !-- inlining problems. |
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[63] | 116 | IF ( loop_optimization == 'vector' ) THEN |
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| 117 | CALL prognostic_equations_vector |
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[1] | 118 | ELSE |
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| 119 | IF ( momentum_advec == 'ups-scheme' .OR. & |
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| 120 | scalar_advec == 'ups-scheme' .OR. & |
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| 121 | scalar_advec == 'bc-scheme' ) & |
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| 122 | THEN |
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[63] | 123 | CALL prognostic_equations_noopt |
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[1] | 124 | ELSE |
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[63] | 125 | CALL prognostic_equations_cache |
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[1] | 126 | ENDIF |
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| 127 | ENDIF |
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| 128 | |
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| 129 | ! |
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| 130 | !-- Particle advection (only once during intermediate steps, because |
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| 131 | !-- it uses an Euler-step) |
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[63] | 132 | IF ( particle_advection .AND. & |
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| 133 | simulated_time >= particle_advection_start .AND. & |
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[1] | 134 | intermediate_timestep_count == 1 ) THEN |
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| 135 | CALL advec_particles |
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| 136 | first_call_advec_particles = .FALSE. |
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| 137 | ENDIF |
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| 138 | |
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| 139 | ! |
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| 140 | !-- Interaction of droplets with temperature and specific humidity. |
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| 141 | !-- Droplet condensation and evaporation is calculated within |
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| 142 | !-- advec_particles. |
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| 143 | IF ( cloud_droplets .AND. & |
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| 144 | intermediate_timestep_count == intermediate_timestep_count_max )& |
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| 145 | THEN |
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| 146 | CALL interaction_droplets_ptq |
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| 147 | ENDIF |
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| 148 | |
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| 149 | ! |
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| 150 | !-- Exchange of ghost points (lateral boundary conditions) |
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| 151 | CALL cpu_log( log_point(26), 'exchange-horiz-progn', 'start' ) |
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[75] | 152 | CALL exchange_horiz( u_p ) |
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| 153 | CALL exchange_horiz( v_p ) |
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| 154 | CALL exchange_horiz( w_p ) |
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| 155 | CALL exchange_horiz( pt_p ) |
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| 156 | IF ( .NOT. constant_diffusion ) CALL exchange_horiz( e_p ) |
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[95] | 157 | IF ( ocean ) THEN |
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| 158 | CALL exchange_horiz( sa_p ) |
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| 159 | CALL exchange_horiz( rho ) |
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| 160 | ENDIF |
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[75] | 161 | IF ( humidity .OR. passive_scalar ) CALL exchange_horiz( q_p ) |
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[1] | 162 | IF ( cloud_droplets ) THEN |
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[75] | 163 | CALL exchange_horiz( ql ) |
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| 164 | CALL exchange_horiz( ql_c ) |
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| 165 | CALL exchange_horiz( ql_v ) |
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| 166 | CALL exchange_horiz( ql_vp ) |
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[1] | 167 | ENDIF |
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| 168 | |
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| 169 | CALL cpu_log( log_point(26), 'exchange-horiz-progn', 'stop' ) |
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| 170 | |
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| 171 | ! |
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| 172 | !-- Apply time filter in case of leap-frog timestep |
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| 173 | IF ( tsc(2) == 2.0 .AND. timestep_scheme(1:8) == 'leapfrog' ) THEN |
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| 174 | CALL asselin_filter |
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| 175 | ENDIF |
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| 176 | |
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| 177 | ! |
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| 178 | !-- Boundary conditions for the prognostic quantities (except of the |
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| 179 | !-- velocities at the outflow in case of a non-cyclic lateral wall) |
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| 180 | CALL boundary_conds( 'main' ) |
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| 181 | |
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| 182 | ! |
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[73] | 183 | !-- Swap the time levels in preparation for the next time step. |
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| 184 | CALL swap_timelevel |
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| 185 | |
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| 186 | ! |
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[1] | 187 | !-- Temperature offset must be imposed at cyclic boundaries in x-direction |
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| 188 | !-- when a sloping surface is used |
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| 189 | IF ( sloping_surface ) THEN |
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| 190 | IF ( nxl == 0 ) pt(:,:,nxl-1) = pt(:,:,nxl-1) - pt_slope_offset |
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| 191 | IF ( nxr == nx ) pt(:,:,nxr+1) = pt(:,:,nxr+1) + pt_slope_offset |
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| 192 | ENDIF |
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| 193 | |
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| 194 | ! |
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| 195 | !-- Impose a random perturbation on the horizontal velocity field |
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| 196 | IF ( create_disturbances .AND. & |
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| 197 | intermediate_timestep_count == intermediate_timestep_count_max )& |
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| 198 | THEN |
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| 199 | time_disturb = time_disturb + dt_3d |
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| 200 | IF ( time_disturb >= dt_disturb ) THEN |
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[87] | 201 | IF ( hom(nzb+5,1,pr_palm,0) < disturbance_energy_limit ) THEN |
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[75] | 202 | CALL disturb_field( nzb_u_inner, tend, u ) |
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| 203 | CALL disturb_field( nzb_v_inner, tend, v ) |
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[1] | 204 | ELSEIF ( bc_lr /= 'cyclic' .OR. bc_ns /= 'cyclic' ) THEN |
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| 205 | ! |
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| 206 | !-- Runs with a non-cyclic lateral wall need perturbations |
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| 207 | !-- near the inflow throughout the whole simulation |
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| 208 | dist_range = 1 |
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[75] | 209 | CALL disturb_field( nzb_u_inner, tend, u ) |
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| 210 | CALL disturb_field( nzb_v_inner, tend, v ) |
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[1] | 211 | dist_range = 0 |
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| 212 | ENDIF |
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| 213 | time_disturb = time_disturb - dt_disturb |
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| 214 | ENDIF |
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| 215 | ENDIF |
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| 216 | |
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| 217 | ! |
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| 218 | !-- Reduce the velocity divergence via the equation for perturbation |
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| 219 | !-- pressure. |
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| 220 | IF ( intermediate_timestep_count == intermediate_timestep_count_max & |
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| 221 | .OR. call_psolver_at_all_substeps ) THEN |
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| 222 | CALL pres |
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| 223 | ENDIF |
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| 224 | |
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| 225 | ! |
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| 226 | !-- In case of a non-cyclic lateral wall, set the boundary conditions for |
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| 227 | !-- the velocities at the outflow |
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[75] | 228 | ! IF ( bc_lr /= 'cyclic' .OR. bc_ns /= 'cyclic' ) THEN |
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| 229 | ! CALL boundary_conds( 'outflow_uvw' ) |
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| 230 | ! ENDIF |
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[1] | 231 | |
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| 232 | ! |
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| 233 | !-- If required, compute virtuell potential temperature |
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[75] | 234 | IF ( humidity ) CALL compute_vpt |
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[1] | 235 | |
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| 236 | ! |
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| 237 | !-- If required, compute liquid water content |
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| 238 | IF ( cloud_physics ) CALL calc_liquid_water_content |
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| 239 | |
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| 240 | ! |
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| 241 | !-- Compute the diffusion quantities |
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| 242 | IF ( .NOT. constant_diffusion ) THEN |
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| 243 | |
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| 244 | ! |
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| 245 | !-- First the vertical fluxes in the Prandtl layer are being computed |
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| 246 | IF ( prandtl_layer ) THEN |
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| 247 | CALL cpu_log( log_point(19), 'prandtl_fluxes', 'start' ) |
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| 248 | CALL prandtl_fluxes |
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| 249 | CALL cpu_log( log_point(19), 'prandtl_fluxes', 'stop' ) |
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| 250 | ENDIF |
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| 251 | |
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| 252 | ! |
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| 253 | !-- Compute the diffusion coefficients |
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| 254 | CALL cpu_log( log_point(17), 'diffusivities', 'start' ) |
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[75] | 255 | IF ( .NOT. humidity ) THEN |
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[97] | 256 | IF ( ocean ) THEN |
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| 257 | CALL diffusivities( rho, prho_reference ) |
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| 258 | ELSE |
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| 259 | CALL diffusivities( pt, pt_reference ) |
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| 260 | ENDIF |
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[1] | 261 | ELSE |
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[97] | 262 | CALL diffusivities( vpt, pt_reference ) |
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[1] | 263 | ENDIF |
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| 264 | CALL cpu_log( log_point(17), 'diffusivities', 'stop' ) |
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| 265 | |
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| 266 | ENDIF |
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| 267 | |
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| 268 | ENDDO ! Intermediate step loop |
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| 269 | |
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| 270 | ! |
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| 271 | !-- Increase simulation time and output times |
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| 272 | current_timestep_number = current_timestep_number + 1 |
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| 273 | simulated_time = simulated_time + dt_3d |
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| 274 | simulated_time_chr = time_to_string( simulated_time ) |
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| 275 | IF ( simulated_time >= skip_time_data_output_av ) THEN |
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| 276 | time_do_av = time_do_av + dt_3d |
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| 277 | ENDIF |
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| 278 | IF ( simulated_time >= skip_time_do2d_xy ) THEN |
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| 279 | time_do2d_xy = time_do2d_xy + dt_3d |
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| 280 | ENDIF |
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| 281 | IF ( simulated_time >= skip_time_do2d_xz ) THEN |
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| 282 | time_do2d_xz = time_do2d_xz + dt_3d |
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| 283 | ENDIF |
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| 284 | IF ( simulated_time >= skip_time_do2d_yz ) THEN |
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| 285 | time_do2d_yz = time_do2d_yz + dt_3d |
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| 286 | ENDIF |
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| 287 | IF ( simulated_time >= skip_time_do3d ) THEN |
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| 288 | time_do3d = time_do3d + dt_3d |
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| 289 | ENDIF |
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| 290 | time_dvrp = time_dvrp + dt_3d |
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| 291 | IF ( simulated_time >= skip_time_dosp ) THEN |
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| 292 | time_dosp = time_dosp + dt_3d |
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| 293 | ENDIF |
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| 294 | time_dots = time_dots + dt_3d |
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| 295 | IF ( .NOT. first_call_advec_particles ) THEN |
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| 296 | time_dopts = time_dopts + dt_3d |
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| 297 | ENDIF |
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| 298 | IF ( simulated_time >= skip_time_dopr ) THEN |
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| 299 | time_dopr = time_dopr + dt_3d |
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| 300 | ENDIF |
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| 301 | time_dopr_listing = time_dopr_listing + dt_3d |
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| 302 | time_run_control = time_run_control + dt_3d |
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| 303 | |
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| 304 | ! |
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[46] | 305 | !-- Execute user-defined actions |
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| 306 | CALL user_actions( 'after_integration' ) |
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| 307 | |
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| 308 | ! |
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[1] | 309 | !-- If Galilei transformation is used, determine the distance that the |
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| 310 | !-- model has moved so far |
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| 311 | IF ( galilei_transformation ) THEN |
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| 312 | advected_distance_x = advected_distance_x + u_gtrans * dt_3d |
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| 313 | advected_distance_y = advected_distance_y + v_gtrans * dt_3d |
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| 314 | ENDIF |
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| 315 | |
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| 316 | ! |
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| 317 | !-- Check, if restart is necessary (because cpu-time is expiring or |
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| 318 | !-- because it is forced by user) and set stop flag |
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| 319 | CALL check_for_restart |
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| 320 | |
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| 321 | ! |
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| 322 | !-- Carry out statistical analysis and output at the requested output times. |
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| 323 | !-- The MOD function is used for calculating the output time counters (like |
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| 324 | !-- time_dopr) in order to regard a possible decrease of the output time |
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| 325 | !-- interval in case of restart runs |
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| 326 | |
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| 327 | ! |
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| 328 | !-- Set a flag indicating that so far no statistics have been created |
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| 329 | !-- for this time step |
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| 330 | flow_statistics_called = .FALSE. |
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| 331 | |
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| 332 | ! |
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| 333 | !-- If required, call flow_statistics for averaging in time |
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| 334 | IF ( averaging_interval_pr /= 0.0 .AND. & |
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| 335 | ( dt_dopr - time_dopr ) <= averaging_interval_pr .AND. & |
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| 336 | simulated_time >= skip_time_dopr ) THEN |
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| 337 | time_dopr_av = time_dopr_av + dt_3d |
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| 338 | IF ( time_dopr_av >= dt_averaging_input_pr ) THEN |
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| 339 | do_sum = .TRUE. |
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| 340 | time_dopr_av = MOD( time_dopr_av, & |
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| 341 | MAX( dt_averaging_input_pr, dt_3d ) ) |
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| 342 | ENDIF |
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| 343 | ENDIF |
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| 344 | IF ( do_sum ) CALL flow_statistics |
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| 345 | |
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| 346 | ! |
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| 347 | !-- Sum-up 3d-arrays for later output of time-averaged data |
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| 348 | IF ( averaging_interval /= 0.0 .AND. & |
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| 349 | ( dt_data_output_av - time_do_av ) <= averaging_interval .AND. & |
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| 350 | simulated_time >= skip_time_data_output_av ) & |
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| 351 | THEN |
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| 352 | time_do_sla = time_do_sla + dt_3d |
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| 353 | IF ( time_do_sla >= dt_averaging_input ) THEN |
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| 354 | CALL sum_up_3d_data |
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| 355 | average_count_3d = average_count_3d + 1 |
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| 356 | time_do_sla = MOD( time_do_sla, MAX( dt_averaging_input, dt_3d ) ) |
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| 357 | ENDIF |
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| 358 | ENDIF |
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| 359 | |
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| 360 | ! |
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| 361 | !-- Calculate spectra for time averaging |
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| 362 | IF ( averaging_interval_sp /= 0.0 .AND. & |
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| 363 | ( dt_dosp - time_dosp ) <= averaging_interval_sp .AND. & |
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| 364 | simulated_time >= skip_time_dosp ) THEN |
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| 365 | time_dosp_av = time_dosp_av + dt_3d |
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| 366 | IF ( time_dosp_av >= dt_averaging_input_pr ) THEN |
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| 367 | CALL calc_spectra |
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| 368 | time_dosp_av = MOD( time_dosp_av, & |
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| 369 | MAX( dt_averaging_input_pr, dt_3d ) ) |
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| 370 | ENDIF |
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| 371 | ENDIF |
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| 372 | |
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| 373 | ! |
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| 374 | !-- Computation and output of run control parameters. |
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| 375 | !-- This is also done whenever the time step has changed or perturbations |
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| 376 | !-- have been imposed |
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| 377 | IF ( time_run_control >= dt_run_control .OR. & |
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| 378 | ( dt_changed .AND. timestep_scheme(1:5) /= 'runge' ) .OR. & |
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| 379 | disturbance_created ) & |
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| 380 | THEN |
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| 381 | CALL run_control |
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| 382 | IF ( time_run_control >= dt_run_control ) THEN |
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| 383 | time_run_control = MOD( time_run_control, & |
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| 384 | MAX( dt_run_control, dt_3d ) ) |
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| 385 | ENDIF |
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| 386 | ENDIF |
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| 387 | |
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| 388 | ! |
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| 389 | !-- Profile output (ASCII) on file |
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| 390 | IF ( time_dopr_listing >= dt_dopr_listing ) THEN |
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| 391 | CALL print_1d |
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| 392 | time_dopr_listing = MOD( time_dopr_listing, MAX( dt_dopr_listing, & |
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| 393 | dt_3d ) ) |
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| 394 | ENDIF |
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| 395 | |
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| 396 | ! |
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| 397 | !-- Graphic output for PROFIL |
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| 398 | IF ( time_dopr >= dt_dopr ) THEN |
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| 399 | IF ( dopr_n /= 0 ) CALL data_output_profiles |
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| 400 | time_dopr = MOD( time_dopr, MAX( dt_dopr, dt_3d ) ) |
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| 401 | time_dopr_av = 0.0 ! due to averaging (see above) |
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| 402 | ENDIF |
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| 403 | |
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| 404 | ! |
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| 405 | !-- Graphic output for time series |
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| 406 | IF ( time_dots >= dt_dots ) THEN |
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[48] | 407 | CALL data_output_tseries |
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[1] | 408 | time_dots = MOD( time_dots, MAX( dt_dots, dt_3d ) ) |
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| 409 | ENDIF |
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| 410 | |
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| 411 | ! |
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| 412 | !-- Output of spectra (formatted for use with PROFIL), in case of no |
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| 413 | !-- time averaging, spectra has to be calculated before |
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| 414 | IF ( time_dosp >= dt_dosp ) THEN |
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| 415 | IF ( average_count_sp == 0 ) CALL calc_spectra |
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| 416 | CALL data_output_spectra |
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| 417 | time_dosp = MOD( time_dosp, MAX( dt_dosp, dt_3d ) ) |
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| 418 | ENDIF |
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| 419 | |
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| 420 | ! |
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| 421 | !-- 2d-data output (cross-sections) |
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| 422 | IF ( time_do2d_xy >= dt_do2d_xy ) THEN |
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| 423 | CALL data_output_2d( 'xy', 0 ) |
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| 424 | time_do2d_xy = MOD( time_do2d_xy, MAX( dt_do2d_xy, dt_3d ) ) |
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| 425 | ENDIF |
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| 426 | IF ( time_do2d_xz >= dt_do2d_xz ) THEN |
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| 427 | CALL data_output_2d( 'xz', 0 ) |
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| 428 | time_do2d_xz = MOD( time_do2d_xz, MAX( dt_do2d_xz, dt_3d ) ) |
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| 429 | ENDIF |
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| 430 | IF ( time_do2d_yz >= dt_do2d_yz ) THEN |
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| 431 | CALL data_output_2d( 'yz', 0 ) |
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| 432 | time_do2d_yz = MOD( time_do2d_yz, MAX( dt_do2d_yz, dt_3d ) ) |
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| 433 | ENDIF |
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| 434 | |
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| 435 | ! |
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| 436 | !-- 3d-data output (volume data) |
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| 437 | IF ( time_do3d >= dt_do3d ) THEN |
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| 438 | CALL data_output_3d( 0 ) |
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| 439 | time_do3d = MOD( time_do3d, MAX( dt_do3d, dt_3d ) ) |
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| 440 | ENDIF |
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| 441 | |
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| 442 | ! |
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| 443 | !-- Output of time-averaged 2d/3d-data |
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| 444 | IF ( time_do_av >= dt_data_output_av ) THEN |
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| 445 | CALL average_3d_data |
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| 446 | CALL data_output_2d( 'xy', 1 ) |
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| 447 | CALL data_output_2d( 'xz', 1 ) |
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| 448 | CALL data_output_2d( 'yz', 1 ) |
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| 449 | CALL data_output_3d( 1 ) |
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| 450 | time_do_av = MOD( time_do_av, MAX( dt_data_output_av, dt_3d ) ) |
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| 451 | ENDIF |
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| 452 | |
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| 453 | ! |
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| 454 | !-- Output of particle time series |
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| 455 | IF ( time_dopts >= dt_dopts .OR. & |
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| 456 | ( simulated_time >= particle_advection_start .AND. & |
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| 457 | first_call_advec_particles ) ) THEN |
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| 458 | CALL data_output_ptseries |
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| 459 | time_dopts = MOD( time_dopts, MAX( dt_dopts, dt_3d ) ) |
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| 460 | ENDIF |
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| 461 | |
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| 462 | ! |
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| 463 | !-- Output of dvrp-graphics (isosurface, particles, slicer) |
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| 464 | #if defined( __dvrp_graphics ) |
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| 465 | CALL DVRP_LOG_EVENT( -2, current_timestep_number-1 ) |
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| 466 | #endif |
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| 467 | IF ( time_dvrp >= dt_dvrp ) THEN |
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| 468 | CALL data_output_dvrp |
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| 469 | time_dvrp = MOD( time_dvrp, MAX( dt_dvrp, dt_3d ) ) |
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| 470 | ENDIF |
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| 471 | #if defined( __dvrp_graphics ) |
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| 472 | CALL DVRP_LOG_EVENT( 2, current_timestep_number ) |
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| 473 | #endif |
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| 474 | |
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| 475 | ! |
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| 476 | !-- If required, set the heat flux for the next time step at a random value |
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| 477 | IF ( constant_heatflux .AND. random_heatflux ) CALL disturb_heatflux |
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| 478 | |
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| 479 | ! |
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| 480 | !-- Execute user-defined actions |
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| 481 | CALL user_actions( 'after_timestep' ) |
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| 482 | |
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| 483 | CALL cpu_log( log_point_s(10), 'timesteps', 'stop' ) |
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| 484 | |
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| 485 | ENDDO ! time loop |
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| 486 | |
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| 487 | #if defined( __dvrp_graphics ) |
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| 488 | CALL DVRP_LOG_EVENT( -2, current_timestep_number ) |
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| 489 | #endif |
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| 490 | |
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| 491 | END SUBROUTINE time_integration |
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