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source: palm/trunk/SOURCE/init_3d_model.f90 @ 4830

Last change on this file since 4830 was 4828, checked in by Giersch, 4 years ago

Copyright updated to year 2021, interface pmc_sort removed to accelarate the nesting code

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/palm/branches/chemistry/SOURCE/init_3d_model.f90	2047-3190,3218-3297
/palm/branches/rans/SOURCE/init_3d_model.f90	2078-3128
/palm/branches/resler/SOURCE/init_3d_model.f90	2023-4492
/palm/branches/salsa/SOURCE/init_3d_model.f90	2503-3581
/palm/branches/forwind/SOURCE/init_3d_model.f90	1564-1913
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1	!> @file init_3d_model.f90
2	!--------------------------------------------------------------------------------------------------!
3	! This file is part of the PALM model system.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the terms of the GNU General
6	! Public License as published by the Free Software Foundation, either version 3 of the License, or
7	! (at your option) any later version.
8	!
9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the
10	! implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
11	! Public License for more details.
12	!
13	! You should have received a copy of the GNU General Public License along with PALM. If not, see
14	! <http://www.gnu.org/licenses/>.
15	!
16	! Copyright 1997-2021 Leibniz Universitaet Hannover
17	!--------------------------------------------------------------------------------------------------!
18	!
19	! Current revisions:
20	! ------------------
21	!
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: init_3d_model.f90 4828 2021-01-05 11:21:41Z Giersch $
26	! Add possibility to initialize surface flux of passive scalar via static driver
27	!
28	! 4783 2020-11-13 13:58:45Z raasch
29	! bugfix for reading restart data with MPI-I/O (does not work with blockwise I/O)
30	!
31	! 4680 2020-09-16 10:20:34Z gronemeier
32	! Add option to fix date or time of the simulation
33	!
34	! 4671 2020-09-09 20:27:58Z pavelkrc
35	! Implementation of downward facing USM and LSM surfaces
36	!
37	! 4648 2020-08-25 07:52:08Z raasch
38	! file re-formatted to follow the PALM coding standard
39	!
40	! 4548 2020-05-28 19:36:45Z suehring
41	! Bugfix, move call for lsf_forcing_surf after lsf_init is called
42	!
43	! 4514 2020-04-30 16:29:59Z suehring
44	! Add possibility to initialize surface sensible and latent heat fluxes via a static driver.
45	!
46	! 4493 2020-04-10 09:49:43Z pavelkrc
47	! Overwrite u_init, v_init, pt_init, q_init and s_init with hom for all cyclic_fill-cases, not only
48	! for turbulent_inflow = .TRUE.
49	!
50	! 4360 2020-01-07 11:25:50Z suehring
51	! Introduction of wall_flags_total_0, which currently sets bits based on static topography
52	! information used in wall_flags_static_0
53	!
54	! 4329 2019-12-10 15:46:36Z motisi
55	! Renamed wall_flags_0 to wall_flags_static_0
56	!
57	! 4286 2019-10-30 16:01:14Z resler
58	! implement new palm_date_time_mod
59	!
60	! 4223 2019-09-10 09:20:47Z gronemeier
61	! Deallocate temporary string array since it may be re-used to read different input data in other
62	! modules
63	!
64	! 4186 2019-08-23 16:06:14Z suehring
65	! Design change, use variables defined in netcdf_data_input_mod to read netcd variables rather than
66	! define local ones.
67	!
68	! 4185 2019-08-23 13:49:38Z oliver.maas
69	! For initializing_actions = ' cyclic_fill':
70	! Overwrite u_init, v_init, pt_init, q_init and s_init with the (temporally) and horizontally
71	! averaged vertical profiles from the end of the prerun, because these profiles shall be used as the
72	! basic state for the rayleigh damping and the pt_damping.
73	!
74	! 4182 2019-08-22 15:20:23Z scharf
75	! Corrected "Former revisions" section
76	!
77	! 4168 2019-08-16 13:50:17Z suehring
78	! Replace function get_topography_top_index by topo_top_ind
79	!
80	! 4151 2019-08-09 08:24:30Z suehring
81	! Add netcdf directive around input calls (fix for last commit)
82	!
83	! 4150 2019-08-08 20:00:47Z suehring
84	! Input of additional surface variables independent on land- or urban-surface model
85	!
86	! 4131 2019-08-02 11:06:18Z monakurppa
87	! Allocate sums and sums_l to allow profile output for salsa variables.
88	!
89	! 4130 2019-08-01 13:04:13Z suehring
90	! Effectively reduce 3D initialization to 1D initial profiles. This is because 3D initialization
91	! produces structures in the w-component that are correlated with the processor grid for some
92	! unknown reason
93	!
94	! 4090 2019-07-11 15:06:47Z Giersch
95	! Unused variables removed
96	!
97	! 4088 2019-07-11 13:57:56Z Giersch
98	! Pressure and density profile calculations revised using basic functions
99	!
100	! 4048 2019-06-21 21:00:21Z knoop
101	! Further modularization of particle code components
102	!
103	! 4017 2019-06-06 12:16:46Z schwenkel
104	! Convert most location messages to debug messages to reduce output in job logfile to a minimum
105	!
106	! unused variable removed
107	!
108	! 3937 2019-04-29 15:09:07Z suehring
109	! Move initialization of synthetic turbulence generator behind initialization of offline nesting.
110	! Remove call for stg_adjust, as this is now already done in stg_init.
111	!
112	! 3900 2019-04-16 15:17:43Z suehring
113	! Fix problem with LOD = 2 initialization
114	!
115	! 3885 2019-04-11 11:29:34Z kanani
116	! Changes related to global restructuring of location messages and introduction of additional debug
117	! messages
118	!
119	! 3849 2019-04-01 16:35:16Z knoop
120	! Move initialization of rmask before initializing user_init_arrays
121	!
122	! 3711 2019-01-31 13:44:26Z knoop
123	! Introduced module_interface_init_checks for post-init checks in modules
124	!
125	! 3700 2019-01-26 17:03:42Z knoop
126	! Some interface calls moved to module_interface + cleanup
127	!
128	! 3648 2019-01-02 16:35:46Z suehring
129	! Rename subroutines for surface-data output
130	!
131	! Revision 1.1 1998/03/09 16:22:22 raasch
132	! Initial revision
133	!
134	!
135	! Description:
136	! ------------
137	!> Allocation of arrays and initialization of the 3D model via
138	!> a) pre-run the 1D model
139	!> or
140	!> b) pre-set constant linear profiles
141	!> or
142	!> c) read values of a previous run
143	!--------------------------------------------------------------------------------------------------!
144	SUBROUTINE init_3d_model
145
146
147	USE advec_ws
148
149	USE arrays_3d
150
151	USE basic_constants_and_equations_mod, &
152	ONLY: barometric_formula, c_p, exner_function, exner_function_invers, g, &
153	ideal_gas_law_rho, ideal_gas_law_rho_pt, l_v, pi
154
155	USE bulk_cloud_model_mod, &
156	ONLY: bulk_cloud_model
157
158	USE chem_modules, &
159	ONLY: max_pr_cs ! ToDo: this dependency needs to be removed cause it is ugly #new_dom
160
161	USE control_parameters
162
163	USE grid_variables, &
164	ONLY: dx, dy, ddx2_mg, ddy2_mg
165
166	USE indices
167
168	USE kinds
169
170	USE lsf_nudging_mod, &
171	ONLY: ls_forcing_surf
172
173	USE model_1d_mod, &
174	ONLY: init_1d_model, l1d, u1d, v1d
175
176	USE module_interface, &
177	ONLY: module_interface_init_arrays, &
178	module_interface_init, &
179	module_interface_init_checks
180
181	USE multi_agent_system_mod, &
182	ONLY: agents_active, mas_init
183
184	USE netcdf_interface, &
185	ONLY: dots_max
186
187	USE netcdf_data_input_mod, &
188	ONLY: char_fill, &
189	check_existence, &
190	close_input_file, &
191	get_attribute, &
192	get_variable, &
193	init_3d, &
194	input_pids_static, &
195	inquire_num_variables, &
196	inquire_variable_names, &
197	input_file_static, &
198	netcdf_data_input_init_3d, &
199	num_var_pids, &
200	open_read_file, &
201	pids_id, &
202	real_2d, &
203	vars_pids
204
205	USE nesting_offl_mod, &
206	ONLY: nesting_offl_init
207
208	USE palm_date_time_mod, &
209	ONLY: init_date_time
210
211	USE pegrid
212
213	#if defined( __parallel )
214	USE pmc_interface, &
215	ONLY: nested_run
216	#endif
217
218	USE random_function_mod
219
220	USE random_generator_parallel, &
221	ONLY: init_parallel_random_generator
222
223	USE read_restart_data_mod, &
224	ONLY: rrd_local, rrd_read_parts_of_global
225
226	USE statistics, &
227	ONLY: hom, hom_sum, mean_surface_level_height, pr_palm, rmask, statistic_regions, sums, &
228	sums_divnew_l, sums_divold_l, sums_l, sums_l_l, sums_wsts_bc_l, ts_value, &
229	weight_pres, weight_substep
230
231	USE synthetic_turbulence_generator_mod, &
232	ONLY: stg_init, use_syn_turb_gen
233
234	USE surface_layer_fluxes_mod, &
235	ONLY: init_surface_layer_fluxes
236
237	USE surface_mod, &
238	ONLY : init_single_surface_properties, &
239	init_surface_arrays, &
240	init_surfaces, &
241	surf_def_h, &
242	surf_def_v, &
243	surf_lsm_h, &
244	surf_usm_h
245
246	#if defined( _OPENACC )
247	USE surface_mod, &
248	ONLY : bc_h
249	#endif
250
251	USE surface_data_output_mod, &
252	ONLY: surface_data_output_init
253
254	USE transpose_indices
255
256
257	IMPLICIT NONE
258
259	INTEGER(iwp) :: i !< grid index in x direction
260	INTEGER(iwp) :: ind_array(1) !< dummy used to determine start index for external pressure forcing
261	INTEGER(iwp) :: j !< grid index in y direction
262	INTEGER(iwp) :: k !< grid index in z direction
263	INTEGER(iwp) :: k_surf !< surface level index
264	INTEGER(iwp) :: l !< running index over surface orientation
265	INTEGER(iwp) :: m !< index of surface element in surface data type
266	INTEGER(iwp) :: nz_u_shift !< topography-top index on u-grid, used to vertically shift initial profiles
267	INTEGER(iwp) :: nz_v_shift !< topography-top index on v-grid, used to vertically shift initial profiles
268	INTEGER(iwp) :: nz_w_shift !< topography-top index on w-grid, used to vertically shift initial profiles
269	INTEGER(iwp) :: nz_s_shift !< topography-top index on scalar-grid, used to vertically shift initial profiles
270	INTEGER(iwp) :: nz_u_shift_l !< topography-top index on u-grid, used to vertically shift initial profiles
271	INTEGER(iwp) :: nz_v_shift_l !< topography-top index on v-grid, used to vertically shift initial profiles
272	INTEGER(iwp) :: nz_w_shift_l !< topography-top index on w-grid, used to vertically shift initial profiles
273	INTEGER(iwp) :: nz_s_shift_l !< topography-top index on scalar-grid, used to vertically shift initial profiles
274	INTEGER(iwp) :: nzt_l !< index of top PE boundary for multigrid level
275	INTEGER(iwp) :: sr !< index of statistic region
276
277	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ngp_2dh_l !< toal number of horizontal grid points in statistical region on
278	!< subdomain
279
280	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: ngp_2dh_outer_l !< number of horizontal non-wall bounded grid points on
281	!< subdomain
282	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: ngp_2dh_s_inner_l !< number of horizontal non-topography grid points on
283	!< subdomain
284
285	REAL(wp) :: dx_l !< grid spacing along x on different multigrid level
286	REAL(wp) :: dy_l !< grid spacing along y on different multigrid level
287
288	REAL(wp), DIMENSION(:), ALLOCATABLE :: init_l !< dummy array used for averaging 3D data to obtain
289	!< inital profiles
290	REAL(wp), DIMENSION(:), ALLOCATABLE :: mean_surface_level_height_l !< mean surface level height on subdomain
291	REAL(wp), DIMENSION(:), ALLOCATABLE :: ngp_3d_inner_l !< total number of non-topography grid points on subdomain
292	REAL(wp), DIMENSION(:), ALLOCATABLE :: ngp_3d_inner_tmp !< total number of non-topography grid points
293	REAL(wp), DIMENSION(:), ALLOCATABLE :: p_hydrostatic !< hydrostatic pressure
294
295	REAL(wp), DIMENSION(1:3) :: volume_flow_area_l !< area of lateral and top model domain surface on local subdomain
296	REAL(wp), DIMENSION(1:3) :: volume_flow_initial_l !< initial volume flow into model domain
297
298	TYPE(real_2d) :: tmp_2d !< temporary variable to input additional surface-data from static file
299
300	CALL location_message( 'model initialization', 'start' )
301	!
302	!-- Set reference date-time
303	CALL init_date_time( date_time_str=origin_date_time, &
304	use_fixed_date=use_fixed_date, &
305	use_fixed_time=use_fixed_time )
306
307	IF ( debug_output ) CALL debug_message( 'allocating arrays', 'start' )
308	!
309	!-- Allocate arrays
310	ALLOCATE( mean_surface_level_height(0:statistic_regions), &
311	mean_surface_level_height_l(0:statistic_regions), &
312	ngp_2dh(0:statistic_regions), ngp_2dh_l(0:statistic_regions), &
313	ngp_3d(0:statistic_regions), &
314	ngp_3d_inner(0:statistic_regions), &
315	ngp_3d_inner_l(0:statistic_regions), &
316	ngp_3d_inner_tmp(0:statistic_regions), &
317	sums_divnew_l(0:statistic_regions), &
318	sums_divold_l(0:statistic_regions) )
319	ALLOCATE( dp_smooth_factor(nzb:nzt), rdf(nzb+1:nzt), rdf_sc(nzb+1:nzt) )
320	ALLOCATE( ngp_2dh_outer(nzb:nzt+1,0:statistic_regions), &
321	ngp_2dh_outer_l(nzb:nzt+1,0:statistic_regions), &
322	ngp_2dh_s_inner(nzb:nzt+1,0:statistic_regions), &
323	ngp_2dh_s_inner_l(nzb:nzt+1,0:statistic_regions), &
324	rmask(nysg:nyng,nxlg:nxrg,0:statistic_regions), &
325	sums(nzb:nzt+1,pr_palm+max_pr_user+max_pr_cs+max_pr_salsa), &
326	sums_l(nzb:nzt+1,pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0:threads_per_task-1), &
327	sums_l_l(nzb:nzt+1,0:statistic_regions,0:threads_per_task-1), &
328	sums_wsts_bc_l(nzb:nzt+1,0:statistic_regions) )
329	ALLOCATE( ts_value(dots_max,0:statistic_regions) )
330	ALLOCATE( ptdf_x(nxlg:nxrg), ptdf_y(nysg:nyng) )
331
332	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr), &
333	p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
334	tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
335
336	ALLOCATE( pt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
337	pt_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
338	u_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
339	u_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
340	u_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
341	v_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
342	v_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
343	v_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
344	w_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
345	w_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
346	w_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
347	IF ( .NOT. neutral ) THEN
348	ALLOCATE( pt_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
349	ENDIF
350	!
351	!-- Pre-set masks for regional statistics. Default is the total model domain.
352	!-- Ghost points are excluded because counting values at the ghost boundaries would bias the
353	!-- statistics.
354	rmask = 1.0_wp
355	rmask(:,nxlg:nxl-1,:) = 0.0_wp; rmask(:,nxr+1:nxrg,:) = 0.0_wp
356	rmask(nysg:nys-1,:,:) = 0.0_wp; rmask(nyn+1:nyng,:,:) = 0.0_wp
357	!
358	!-- Following array is required for perturbation pressure within the iterative pressure solvers. For
359	!-- the multistep schemes (Runge-Kutta), array p holds the weighted average of the substeps and
360	!-- cannot be used in the Poisson solver.
361	IF ( psolver == 'sor' ) THEN
362	ALLOCATE( p_loc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
363	ELSEIF ( psolver(1:9) == 'multigrid' ) THEN
364	!
365	!-- For performance reasons, multigrid is using one ghost layer only
366	ALLOCATE( p_loc(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
367	ENDIF
368
369	!
370	!-- Array for storing constant coeffficients of the tridiagonal solver
371	IF ( psolver == 'poisfft' ) THEN
372	ALLOCATE( tri(nxl_z:nxr_z,nys_z:nyn_z,0:nz-1,2) )
373	ALLOCATE( tric(nxl_z:nxr_z,nys_z:nyn_z,0:nz-1) )
374	ENDIF
375
376	IF ( humidity ) THEN
377	!
378	!-- 3D-humidity
379	ALLOCATE( q_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
380	q_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
381	q_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
382	vpt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
383	ENDIF
384
385	IF ( passive_scalar ) THEN
386
387	!
388	!-- 3D scalar arrays
389	ALLOCATE( s_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
390	s_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
391	s_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
392
393	ENDIF
394
395	!
396	!-- Allocate and set 1d-profiles for Stokes drift velocity. It may be set to non-zero values later
397	!-- in ocean_init.
398	ALLOCATE( u_stokes_zu(nzb:nzt+1), u_stokes_zw(nzb:nzt+1), &
399	v_stokes_zu(nzb:nzt+1), v_stokes_zw(nzb:nzt+1) )
400	u_stokes_zu(:) = 0.0_wp
401	u_stokes_zw(:) = 0.0_wp
402	v_stokes_zu(:) = 0.0_wp
403	v_stokes_zw(:) = 0.0_wp
404
405	!
406	!-- Allocation of anelastic and Boussinesq approximation specific arrays
407	ALLOCATE( p_hydrostatic(nzb:nzt+1) )
408	ALLOCATE( rho_air(nzb:nzt+1) )
409	ALLOCATE( rho_air_zw(nzb:nzt+1) )
410	ALLOCATE( drho_air(nzb:nzt+1) )
411	ALLOCATE( drho_air_zw(nzb:nzt+1) )
412	!
413	!-- Density profile calculation for anelastic and Boussinesq approximation.
414	!-- In case of a Boussinesq approximation, a constant density is calculated mainly for output
415	!-- purposes. This density does not need to be considered in the model's system of equations.
416	IF ( TRIM( approximation ) == 'anelastic' ) THEN
417	DO k = nzb, nzt+1
418	p_hydrostatic(k) = barometric_formula(zu(k), pt_surface * &
419	exner_function(surface_pressure * 100.0_wp), &
420	surface_pressure * 100.0_wp)
421
422	rho_air(k) = ideal_gas_law_rho_pt(p_hydrostatic(k), pt_init(k))
423	ENDDO
424
425	DO k = nzb, nzt
426	rho_air_zw(k) = 0.5_wp * ( rho_air(k) + rho_air(k+1) )
427	ENDDO
428
429	rho_air_zw(nzt+1) = rho_air_zw(nzt) + 2.0_wp * ( rho_air(nzt+1) - rho_air_zw(nzt) )
430
431	ELSE
432	DO k = nzb, nzt+1
433	p_hydrostatic(k) = barometric_formula(zu(nzb), pt_surface * &
434	exner_function(surface_pressure * 100.0_wp), &
435	surface_pressure * 100.0_wp)
436
437	rho_air(k) = ideal_gas_law_rho_pt(p_hydrostatic(k), pt_init(nzb))
438	ENDDO
439
440	DO k = nzb, nzt
441	rho_air_zw(k) = 0.5_wp * ( rho_air(k) + rho_air(k+1) )
442	ENDDO
443
444	rho_air_zw(nzt+1) = rho_air_zw(nzt) + 2.0_wp * ( rho_air(nzt+1) - rho_air_zw(nzt) )
445
446	ENDIF
447	!
448	!-- Compute the inverse density array in order to avoid expencive divisions
449	drho_air = 1.0_wp / rho_air
450	drho_air_zw = 1.0_wp / rho_air_zw
451
452	!
453	!-- Allocation of flux conversion arrays
454	ALLOCATE( heatflux_input_conversion(nzb:nzt+1) )
455	ALLOCATE( waterflux_input_conversion(nzb:nzt+1) )
456	ALLOCATE( momentumflux_input_conversion(nzb:nzt+1) )
457	ALLOCATE( heatflux_output_conversion(nzb:nzt+1) )
458	ALLOCATE( waterflux_output_conversion(nzb:nzt+1) )
459	ALLOCATE( momentumflux_output_conversion(nzb:nzt+1) )
460
461	!
462	!-- Calculate flux conversion factors according to approximation and in-/output mode
463	DO k = nzb, nzt+1
464
465	IF ( TRIM( flux_input_mode ) == 'kinematic' ) THEN
466	heatflux_input_conversion(k) = rho_air_zw(k)
467	waterflux_input_conversion(k) = rho_air_zw(k)
468	momentumflux_input_conversion(k) = rho_air_zw(k)
469	ELSEIF ( TRIM( flux_input_mode ) == 'dynamic' ) THEN
470	heatflux_input_conversion(k) = 1.0_wp / c_p
471	waterflux_input_conversion(k) = 1.0_wp / l_v
472	momentumflux_input_conversion(k) = 1.0_wp
473	ENDIF
474
475	IF ( TRIM( flux_output_mode ) == 'kinematic' ) THEN
476	heatflux_output_conversion(k) = drho_air_zw(k)
477	waterflux_output_conversion(k) = drho_air_zw(k)
478	momentumflux_output_conversion(k) = drho_air_zw(k)
479	ELSEIF ( TRIM( flux_output_mode ) == 'dynamic' ) THEN
480	heatflux_output_conversion(k) = c_p
481	waterflux_output_conversion(k) = l_v
482	momentumflux_output_conversion(k) = 1.0_wp
483	ENDIF
484
485	IF ( .NOT. humidity ) THEN
486	waterflux_input_conversion(k) = 1.0_wp
487	waterflux_output_conversion(k) = 1.0_wp
488	ENDIF
489
490	ENDDO
491
492	!
493	!-- In case of multigrid method, compute grid lengths and grid factors for the grid levels with
494	!-- respective density on each grid.
495	IF ( psolver(1:9) == 'multigrid' ) THEN
496
497	ALLOCATE( ddx2_mg(maximum_grid_level) )
498	ALLOCATE( ddy2_mg(maximum_grid_level) )
499	ALLOCATE( dzu_mg(nzb+1:nzt+1,maximum_grid_level) )
500	ALLOCATE( dzw_mg(nzb+1:nzt+1,maximum_grid_level) )
501	ALLOCATE( f1_mg(nzb+1:nzt,maximum_grid_level) )
502	ALLOCATE( f2_mg(nzb+1:nzt,maximum_grid_level) )
503	ALLOCATE( f3_mg(nzb+1:nzt,maximum_grid_level) )
504	ALLOCATE( rho_air_mg(nzb:nzt+1,maximum_grid_level) )
505	ALLOCATE( rho_air_zw_mg(nzb:nzt+1,maximum_grid_level) )
506
507	dzu_mg(:,maximum_grid_level) = dzu
508	rho_air_mg(:,maximum_grid_level) = rho_air
509	!
510	!-- Next line to ensure an equally spaced grid.
511	dzu_mg(1,maximum_grid_level) = dzu(2)
512	rho_air_mg(nzb,maximum_grid_level) = rho_air(nzb) + (rho_air(nzb) - rho_air(nzb+1))
513
514	dzw_mg(:,maximum_grid_level) = dzw
515	rho_air_zw_mg(:,maximum_grid_level) = rho_air_zw
516	nzt_l = nzt
517	DO l = maximum_grid_level-1, 1, -1
518	dzu_mg(nzb+1,l) = 2.0_wp * dzu_mg(nzb+1,l+1)
519	dzw_mg(nzb+1,l) = 2.0_wp * dzw_mg(nzb+1,l+1)
520	rho_air_mg(nzb,l) = rho_air_mg(nzb,l+1) + ( rho_air_mg(nzb,l+1) - &
521	rho_air_mg(nzb+1,l+1) )
522	rho_air_zw_mg(nzb,l) = rho_air_zw_mg(nzb,l+1) + ( rho_air_zw_mg(nzb,l+1) - &
523	rho_air_zw_mg(nzb+1,l+1) )
524	rho_air_mg(nzb+1,l) = rho_air_mg(nzb+1,l+1)
525	rho_air_zw_mg(nzb+1,l) = rho_air_zw_mg(nzb+1,l+1)
526	nzt_l = nzt_l / 2
527	DO k = 2, nzt_l+1
528	dzu_mg(k,l) = dzu_mg(2k-2,l+1) + dzu_mg(2k-1,l+1)
529	dzw_mg(k,l) = dzw_mg(2k-2,l+1) + dzw_mg(2k-1,l+1)
530	rho_air_mg(k,l) = rho_air_mg(2*k-1,l+1)
531	rho_air_zw_mg(k,l) = rho_air_zw_mg(2*k-1,l+1)
532	ENDDO
533	ENDDO
534
535	nzt_l = nzt
536	dx_l = dx
537	dy_l = dy
538	DO l = maximum_grid_level, 1, -1
539	ddx2_mg(l) = 1.0_wp / dx_l**2
540	ddy2_mg(l) = 1.0_wp / dy_l**2
541	DO k = nzb+1, nzt_l
542	f2_mg(k,l) = rho_air_zw_mg(k,l) / ( dzu_mg(k+1,l) * dzw_mg(k,l) )
543	f3_mg(k,l) = rho_air_zw_mg(k-1,l) / ( dzu_mg(k,l) * dzw_mg(k,l) )
544	f1_mg(k,l) = 2.0_wp * ( ddx2_mg(l) + ddy2_mg(l) ) &
545	* rho_air_mg(k,l) + f2_mg(k,l) + f3_mg(k,l)
546	ENDDO
547	nzt_l = nzt_l / 2
548	dx_l = dx_l * 2.0_wp
549	dy_l = dy_l * 2.0_wp
550	ENDDO
551
552	ENDIF
553
554	!
555	!-- 1D-array for large scale subsidence velocity
556	IF ( .NOT. ALLOCATED( w_subs ) ) THEN
557	ALLOCATE ( w_subs(nzb:nzt+1) )
558	w_subs = 0.0_wp
559	ENDIF
560
561	!
562	!-- Arrays to store velocity data from t-dt and the phase speeds which are needed for radiation
563	!-- boundary conditions.
564	IF ( bc_radiation_l ) THEN
565	ALLOCATE( u_m_l(nzb:nzt+1,nysg:nyng,1:2), &
566	v_m_l(nzb:nzt+1,nysg:nyng,0:1), &
567	w_m_l(nzb:nzt+1,nysg:nyng,0:1) )
568	ENDIF
569	IF ( bc_radiation_r ) THEN
570	ALLOCATE( u_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
571	v_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
572	w_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx) )
573	ENDIF
574	IF ( bc_radiation_l .OR. bc_radiation_r ) THEN
575	ALLOCATE( c_u(nzb:nzt+1,nysg:nyng), c_v(nzb:nzt+1,nysg:nyng), c_w(nzb:nzt+1,nysg:nyng) )
576	ENDIF
577	IF ( bc_radiation_s ) THEN
578	ALLOCATE( u_m_s(nzb:nzt+1,0:1,nxlg:nxrg), &
579	v_m_s(nzb:nzt+1,1:2,nxlg:nxrg), &
580	w_m_s(nzb:nzt+1,0:1,nxlg:nxrg) )
581	ENDIF
582	IF ( bc_radiation_n ) THEN
583	ALLOCATE( u_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
584	v_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
585	w_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg) )
586	ENDIF
587	IF ( bc_radiation_s .OR. bc_radiation_n ) THEN
588	ALLOCATE( c_u(nzb:nzt+1,nxlg:nxrg), c_v(nzb:nzt+1,nxlg:nxrg), c_w(nzb:nzt+1,nxlg:nxrg) )
589	ENDIF
590	IF ( bc_radiation_l .OR. bc_radiation_r .OR. bc_radiation_s .OR. bc_radiation_n ) THEN
591	ALLOCATE( c_u_m_l(nzb:nzt+1), c_v_m_l(nzb:nzt+1), c_w_m_l(nzb:nzt+1) )
592	ALLOCATE( c_u_m(nzb:nzt+1), c_v_m(nzb:nzt+1), c_w_m(nzb:nzt+1) )
593	ENDIF
594
595	!
596	!-- Initial assignment of the pointers
597	IF ( .NOT. neutral ) THEN
598	pt => pt_1; pt_p => pt_2; tpt_m => pt_3
599	ELSE
600	pt => pt_1; pt_p => pt_1; tpt_m => pt_3
601	ENDIF
602	u => u_1; u_p => u_2; tu_m => u_3
603	v => v_1; v_p => v_2; tv_m => v_3
604	w => w_1; w_p => w_2; tw_m => w_3
605
606	IF ( humidity ) THEN
607	q => q_1; q_p => q_2; tq_m => q_3
608	vpt => vpt_1
609	ENDIF
610
611	IF ( passive_scalar ) THEN
612	s => s_1; s_p => s_2; ts_m => s_3
613	ENDIF
614
615	!
616	!-- Initialize surface arrays
617	CALL init_surface_arrays
618	!
619	!-- Allocate arrays for other modules
620	CALL module_interface_init_arrays
621
622
623	!
624	!-- Allocate arrays containing the RK coefficient for calculation of perturbation pressure and
625	!-- turbulent fluxes. At this point values are set for pressure calculation during initialization
626	!-- (where no timestep is done). Further below the values needed within the timestep scheme will be
627	!-- set.
628	ALLOCATE( weight_substep(1:intermediate_timestep_count_max), &
629	weight_pres(1:intermediate_timestep_count_max) )
630	weight_substep = 1.0_wp
631	weight_pres = 1.0_wp
632	intermediate_timestep_count = 0 ! needed when simulated_time = 0.0
633
634	IF ( debug_output ) CALL debug_message( 'allocating arrays', 'end' )
635
636	!
637	!-- Initialize time series
638	ts_value = 0.0_wp
639
640	!
641	!-- Initialize local summation arrays for routine flow_statistics.
642	!-- This is necessary because they may not yet have been initialized when they are called from
643	!-- flow_statistics (or - depending on the chosen model run - are never initialized)
644	sums_divnew_l = 0.0_wp
645	sums_divold_l = 0.0_wp
646	sums_l_l = 0.0_wp
647	sums_wsts_bc_l = 0.0_wp
648
649	!
650	!-- Initialize model variables
651	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
652	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
653	!
654	!-- Initialization with provided input data derived from larger-scale model
655	IF ( INDEX( initializing_actions, 'inifor' ) /= 0 ) THEN
656	IF ( debug_output ) CALL debug_message( 'initializing with INIFOR', 'start' )
657	!
658	!-- Read initial 1D profiles or 3D data from NetCDF file, depending on the provided
659	!-- level-of-detail.
660	!-- At the moment, only u, v, w, pt and q are provided.
661	CALL netcdf_data_input_init_3d
662	!
663	!-- Please note, Inifor provides data from nzb+1 to nzt.
664	!-- Bottom and top boundary conditions for Inifor profiles are already set (just after
665	!-- reading), so that this is not necessary here.
666	!-- Depending on the provided level-of-detail, initial Inifor data is either stored on data
667	!-- type (lod=1), or directly on 3D arrays (lod=2).
668	!-- In order to obtain also initial profiles in case of lod=2 (which is required for e.g.
669	!-- damping), average over 3D data.
670	IF( init_3d%lod_u == 1 ) THEN
671	u_init = init_3d%u_init
672	ELSEIF( init_3d%lod_u == 2 ) THEN
673	ALLOCATE( init_l(nzb:nzt+1) )
674	DO k = nzb, nzt+1
675	init_l(k) = SUM( u(k,nys:nyn,nxl:nxr) )
676	ENDDO
677	init_l = init_l / REAL( ( nx + 1 ) * ( ny + 1 ), KIND = wp )
678
679	#if defined( __parallel )
680	CALL MPI_ALLREDUCE( init_l, u_init, nzt+1-nzb+1, MPI_REAL, MPI_SUM, comm2d, ierr )
681	#else
682	u_init = init_l
683	#endif
684	DEALLOCATE( init_l )
685
686	ENDIF
687
688	IF( init_3d%lod_v == 1 ) THEN
689	v_init = init_3d%v_init
690	ELSEIF( init_3d%lod_v == 2 ) THEN
691	ALLOCATE( init_l(nzb:nzt+1) )
692	DO k = nzb, nzt+1
693	init_l(k) = SUM( v(k,nys:nyn,nxl:nxr) )
694	ENDDO
695	init_l = init_l / REAL( ( nx + 1 ) * ( ny + 1 ), KIND = wp )
696
697	#if defined( __parallel )
698	CALL MPI_ALLREDUCE( init_l, v_init, nzt+1-nzb+1, MPI_REAL, MPI_SUM, comm2d, ierr )
699	#else
700	v_init = init_l
701	#endif
702	DEALLOCATE( init_l )
703	ENDIF
704	IF( .NOT. neutral ) THEN
705	IF( init_3d%lod_pt == 1 ) THEN
706	pt_init = init_3d%pt_init
707	ELSEIF( init_3d%lod_pt == 2 ) THEN
708	ALLOCATE( init_l(nzb:nzt+1) )
709	DO k = nzb, nzt+1
710	init_l(k) = SUM( pt(k,nys:nyn,nxl:nxr) )
711	ENDDO
712	init_l = init_l / REAL( ( nx + 1 ) * ( ny + 1 ), KIND = wp )
713
714	#if defined( __parallel )
715	CALL MPI_ALLREDUCE( init_l, pt_init, nzt+1-nzb+1, MPI_REAL, MPI_SUM, comm2d, ierr )
716	#else
717	pt_init = init_l
718	#endif
719	DEALLOCATE( init_l )
720	ENDIF
721	ENDIF
722
723
724	IF( humidity ) THEN
725	IF( init_3d%lod_q == 1 ) THEN
726	q_init = init_3d%q_init
727	ELSEIF( init_3d%lod_q == 2 ) THEN
728	ALLOCATE( init_l(nzb:nzt+1) )
729	DO k = nzb, nzt+1
730	init_l(k) = SUM( q(k,nys:nyn,nxl:nxr) )
731	ENDDO
732	init_l = init_l / REAL( ( nx + 1 ) * ( ny + 1 ), KIND = wp )
733
734	#if defined( __parallel )
735	CALL MPI_ALLREDUCE( init_l, q_init, nzt+1-nzb+1, MPI_REAL, MPI_SUM, comm2d, ierr )
736	#else
737	q_init = init_l
738	#endif
739	DEALLOCATE( init_l )
740	ENDIF
741	ENDIF
742
743	!
744	!-- Write initial profiles onto 3D arrays.
745	!-- Work-around, 3D initialization of u,v,w creates artificial structures which correlate with
746	!-- the processor grid. The reason for this is still unknown. To work-around this, 3D
747	!-- initialization will be effectively reduce to a 1D initialization where no such artificial
748	!-- structures appear.
749	DO i = nxlg, nxrg
750	DO j = nysg, nyng
751	IF( init_3d%lod_u == 1 .OR. init_3d%lod_u == 2 ) u(:,j,i) = u_init(:)
752	IF( init_3d%lod_v == 1 .OR. init_3d%lod_u == 2 ) v(:,j,i) = v_init(:)
753	IF( .NOT. neutral .AND. ( init_3d%lod_pt == 1 .OR. init_3d%lod_pt == 2 ) ) &
754	pt(:,j,i) = pt_init(:)
755	IF( humidity .AND. ( init_3d%lod_q == 1 .OR. init_3d%lod_q == 2 ) ) &
756	q(:,j,i) = q_init(:)
757	ENDDO
758	ENDDO
759	!
760	!-- Set geostrophic wind components.
761	IF ( init_3d%from_file_ug ) THEN
762	ug(:) = init_3d%ug_init(:)
763	ENDIF
764	IF ( init_3d%from_file_vg ) THEN
765	vg(:) = init_3d%vg_init(:)
766	ENDIF
767	!
768	!-- Set bottom and top boundary condition for geostrophic wind
769	ug(nzt+1) = ug(nzt)
770	vg(nzt+1) = vg(nzt)
771	ug(nzb) = ug(nzb+1)
772	vg(nzb) = vg(nzb+1)
773	!
774	!-- Set inital w to 0
775	w = 0.0_wp
776
777	IF ( passive_scalar ) THEN
778	DO i = nxlg, nxrg
779	DO j = nysg, nyng
780	s(:,j,i) = s_init
781	ENDDO
782	ENDDO
783	ENDIF
784
785	!
786	!-- Set velocity components at non-atmospheric / oceanic grid points to zero.
787	u = MERGE( u, 0.0_wp, BTEST( wall_flags_total_0, 1 ) )
788	v = MERGE( v, 0.0_wp, BTEST( wall_flags_total_0, 2 ) )
789	w = MERGE( w, 0.0_wp, BTEST( wall_flags_total_0, 3 ) )
790	!
791	!-- Initialize surface variables, e.g. friction velocity, momentum fluxes, etc.
792	CALL init_surfaces
793
794	IF ( debug_output ) CALL debug_message( 'initializing with INIFOR', 'end' )
795	!
796	!-- Initialization via computed 1D-model profiles
797	ELSEIF ( INDEX( initializing_actions, 'set_1d-model_profiles' ) /= 0 ) THEN
798
799	IF ( debug_output ) CALL debug_message( 'initializing with 1D model profiles', 'start' )
800	!
801	!-- Use solutions of the 1D model as initial profiles,
802	!-- start 1D model
803	CALL init_1d_model
804	!
805	!-- Transfer initial profiles to the arrays of the 3D model
806	DO i = nxlg, nxrg
807	DO j = nysg, nyng
808	pt(:,j,i) = pt_init
809	u(:,j,i) = u1d
810	v(:,j,i) = v1d
811	ENDDO
812	ENDDO
813
814	IF ( humidity ) THEN
815	DO i = nxlg, nxrg
816	DO j = nysg, nyng
817	q(:,j,i) = q_init
818	ENDDO
819	ENDDO
820	ENDIF
821
822	IF ( passive_scalar ) THEN
823	DO i = nxlg, nxrg
824	DO j = nysg, nyng
825	s(:,j,i) = s_init
826	ENDDO
827	ENDDO
828	ENDIF
829	!
830	!-- Store initial profiles for output purposes etc.
831	IF ( .NOT. constant_diffusion ) THEN
832	hom(:,1,25,:) = SPREAD( l1d, 2, statistic_regions+1 )
833	ENDIF
834	!
835	!-- Set velocities back to zero
836	u = MERGE( u, 0.0_wp, BTEST( wall_flags_total_0, 1 ) )
837	v = MERGE( v, 0.0_wp, BTEST( wall_flags_total_0, 2 ) )
838	!
839	!-- WARNING: The extra boundary conditions set after running the 1D model impose an error on
840	!-- -------- the divergence one layer below the topography; need to correct later
841	!-- ATTENTION: Provisional correction for Piacsek & Williams advection scheme: keep u and v
842	!-- ---------- zero one layer below the topography.
843	IF ( ibc_uv_b == 1 ) THEN
844	!
845	!-- Neumann condition
846	DO i = nxl-1, nxr+1
847	DO j = nys-1, nyn+1
848	u(nzb,j,i) = u(nzb+1,j,i)
849	v(nzb,j,i) = v(nzb+1,j,i)
850	ENDDO
851	ENDDO
852
853	ENDIF
854	!
855	!-- Initialize surface variables, e.g. friction velocity, momentum fluxes, etc.
856	CALL init_surfaces
857
858	IF ( debug_output ) CALL debug_message( 'initializing with 1D model profiles', 'end' )
859
860	ELSEIF ( INDEX(initializing_actions, 'set_constant_profiles') /= 0 ) THEN
861
862	IF ( debug_output ) CALL debug_message( 'initializing with constant profiles', 'start' )
863
864	!
865	!-- Use constructed initial profiles (velocity constant with height, temperature profile with
866	!-- constant gradient)
867	DO i = nxlg, nxrg
868	DO j = nysg, nyng
869	pt(:,j,i) = pt_init
870	u(:,j,i) = u_init
871	v(:,j,i) = v_init
872	ENDDO
873	ENDDO
874	!
875	!-- Mask topography
876	u = MERGE( u, 0.0_wp, BTEST( wall_flags_total_0, 1 ) )
877	v = MERGE( v, 0.0_wp, BTEST( wall_flags_total_0, 2 ) )
878	!
879	!-- Set initial horizontal velocities at the lowest computational grid levels to zero in order
880	!-- to avoid too small time steps caused by the diffusion limit in the initial phase of a run
881	!-- (at k=1, dz/2 occurs in the limiting formula!).
882	!-- Please note, in case land- or urban-surface model is used and a spinup is applied, masking
883	!-- the lowest computational level is not possible as MOST as well as energy-balance
884	!-- parametrizations will not work with zero wind velocity.
885	IF ( ibc_uv_b /= 1 .AND. .NOT. spinup ) THEN
886	DO i = nxlg, nxrg
887	DO j = nysg, nyng
888	DO k = nzb, nzt
889	u(k,j,i) = MERGE( u(k,j,i), 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 20 ) )
890	v(k,j,i) = MERGE( v(k,j,i), 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 21 ) )
891	ENDDO
892	ENDDO
893	ENDDO
894	ENDIF
895
896	IF ( humidity ) THEN
897	DO i = nxlg, nxrg
898	DO j = nysg, nyng
899	q(:,j,i) = q_init
900	ENDDO
901	ENDDO
902	ENDIF
903
904	IF ( passive_scalar ) THEN
905	DO i = nxlg, nxrg
906	DO j = nysg, nyng
907	s(:,j,i) = s_init
908	ENDDO
909	ENDDO
910	ENDIF
911
912	!
913	!-- Compute initial temperature field and other constants used in case of a sloping surface.
914	IF ( sloping_surface ) CALL init_slope
915	!
916	!-- Initialize surface variables, e.g. friction velocity, momentum fluxes, etc.
917	CALL init_surfaces
918
919	IF ( debug_output ) CALL debug_message( 'initializing with constant profiles', 'end' )
920
921	ELSEIF ( INDEX(initializing_actions, 'by_user') /= 0 ) THEN
922
923	IF ( debug_output ) CALL debug_message( 'initializing by user', 'start' )
924	!
925	!-- Pre-initialize surface variables, i.e. setting start- and end-indices at each
926	!-- (j,i)-location. Please note, this does not supersede user-defined initialization of
927	!-- surface quantities.
928	CALL init_surfaces
929	!
930	!-- Initialization will completely be done by the user
931	CALL user_init_3d_model
932
933	IF ( debug_output ) CALL debug_message( 'initializing by user', 'end' )
934
935	ENDIF
936
937	IF ( debug_output ) THEN
938	CALL debug_message( 'initializing statistics, boundary conditions, etc.', 'start' )
939	ENDIF
940
941	!
942	!-- Bottom boundary
943	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
944	u(nzb,:,:) = 0.0_wp
945	v(nzb,:,:) = 0.0_wp
946	ENDIF
947
948	!
949	!-- Apply channel flow boundary condition
950	IF ( TRIM( bc_uv_t ) == 'dirichlet_0' ) THEN
951	u(nzt+1,:,:) = 0.0_wp
952	v(nzt+1,:,:) = 0.0_wp
953	ENDIF
954
955	!
956	!-- Calculate virtual potential temperature
957	IF ( humidity ) vpt = pt * ( 1.0_wp + 0.61_wp * q )
958
959	!
960	!-- Store initial profiles for output purposes etc.. Please note, in case of initialization of u,
961	!-- v, w, pt, and q via output data derived from larger scale models, data will not be
962	!-- horizontally homogeneous. Actually, a mean profile should be calculated before.
963	hom(:,1,5,:) = SPREAD( u(:,nys,nxl), 2, statistic_regions+1 )
964	hom(:,1,6,:) = SPREAD( v(:,nys,nxl), 2, statistic_regions+1 )
965	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2) THEN
966	hom(nzb,1,5,:) = 0.0_wp
967	hom(nzb,1,6,:) = 0.0_wp
968	ENDIF
969	hom(:,1,7,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
970
971	IF ( humidity ) THEN
972	!
973	!-- Store initial profile of total water content, virtual potential temperature
974	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
975	hom(:,1,29,:) = SPREAD( vpt(:,nys,nxl), 2, statistic_regions+1 )
976	!
977	!-- Store initial profile of mixing ratio and potential temperature
978	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
979	hom(:,1,27,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
980	hom(:,1,28,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
981	ENDIF
982	ENDIF
983
984	!
985	!-- Store initial scalar profile
986	IF ( passive_scalar ) THEN
987	hom(:,1,121,:) = SPREAD( s(:,nys,nxl), 2, statistic_regions+1 )
988	ENDIF
989
990	!
991	!-- Initialize the random number generators (from numerical recipes)
992	CALL random_function_ini
993
994	IF ( random_generator == 'random-parallel' ) THEN
995	CALL init_parallel_random_generator( nx, nys, nyn, nxl, nxr )
996	ENDIF
997	!
998	!-- Set the reference state to be used in the buoyancy terms (for ocean runs the reference state
999	!-- will be set (overwritten) in init_ocean).
1000	IF ( use_single_reference_value ) THEN
1001	IF ( .NOT. humidity ) THEN
1002	ref_state(:) = pt_reference
1003	ELSE
1004	ref_state(:) = vpt_reference
1005	ENDIF
1006	ELSE
1007	IF ( .NOT. humidity ) THEN
1008	ref_state(:) = pt_init(:)
1009	ELSE
1010	ref_state(:) = vpt(:,nys,nxl)
1011	ENDIF
1012	ENDIF
1013
1014	!
1015	!-- For the moment, vertical velocity is zero
1016	w = 0.0_wp
1017
1018	!
1019	!-- Initialize array sums (must be defined in first call of pres)
1020	sums = 0.0_wp
1021
1022	!
1023	!-- In case of iterative solvers, p must get an initial value
1024	IF ( psolver(1:9) == 'multigrid' .OR. psolver == 'sor' ) p = 0.0_wp
1025	!
1026	!-- Impose vortex with vertical axis on the initial velocity profile
1027	IF ( INDEX( initializing_actions, 'initialize_vortex' ) /= 0 ) THEN
1028	CALL init_rankine
1029	ENDIF
1030
1031	!
1032	!-- Impose temperature anomaly (advection test only) or warm air bubble close to surface.
1033	IF ( INDEX( initializing_actions, 'initialize_ptanom' ) /= 0 .OR. &
1034	INDEX( initializing_actions, 'initialize_bubble' ) /= 0 ) THEN
1035	CALL init_pt_anomaly
1036	ENDIF
1037
1038	!
1039	!-- If required, change the surface temperature at the start of the 3D run
1040	IF ( pt_surface_initial_change /= 0.0_wp ) THEN
1041	pt(nzb,:,:) = pt(nzb,:,:) + pt_surface_initial_change
1042	ENDIF
1043
1044	!
1045	!-- If required, change the surface humidity/scalar at the start of the 3D
1046	!-- run
1047	IF ( humidity .AND. q_surface_initial_change /= 0.0_wp ) &
1048	q(nzb,:,:) = q(nzb,:,:) + q_surface_initial_change
1049
1050	IF ( passive_scalar .AND. s_surface_initial_change /= 0.0_wp ) &
1051	s(nzb,:,:) = s(nzb,:,:) + s_surface_initial_change
1052
1053
1054	!
1055	!-- Initialize old and new time levels.
1056	tpt_m = 0.0_wp; tu_m = 0.0_wp; tv_m = 0.0_wp; tw_m = 0.0_wp
1057	pt_p = pt; u_p = u; v_p = v; w_p = w
1058
1059	IF ( humidity ) THEN
1060	tq_m = 0.0_wp
1061	q_p = q
1062	ENDIF
1063
1064	IF ( passive_scalar ) THEN
1065	ts_m = 0.0_wp
1066	s_p = s
1067	ENDIF
1068
1069	IF ( debug_output ) THEN
1070	CALL debug_message( 'initializing statistics, boundary conditions, etc.', 'end' )
1071	ENDIF
1072
1073	ELSEIF ( TRIM( initializing_actions ) == 'read_restart_data' .OR. &
1074	TRIM( initializing_actions ) == 'cyclic_fill' ) &
1075	THEN
1076
1077	IF ( debug_output ) THEN
1078	CALL debug_message( 'initializing in case of restart / cyclic_fill', 'start' )
1079	ENDIF
1080	!
1081	!-- Initialize surface elements and its attributes, e.g. heat- and momentumfluxes, roughness,
1082	!-- scaling parameters. As number of surface elements might be different between runs, e.g. in
1083	!-- case of cyclic fill, and not all surface elements are read, surface elements need to be
1084	!-- initialized before.
1085	!-- Please note, in case of cyclic fill, surfaces should be initialized after restart data is
1086	!-- read, else, individual settings of surface parameters will be overwritten from data of
1087	!-- precursor run, hence, init_surfaces is called a second time after reading the restart data.
1088	CALL init_surfaces
1089	!
1090	!-- When reading data for cyclic fill of 3D prerun data files, read some of the global variables
1091	!-- from the restart file which are required for initializing the inflow
1092	IF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
1093
1094	!
1095	!-- Blockwise I/O does not work together with MPI-I/O
1096	IF ( restart_data_format_input(1:3) == 'mpi' ) THEN
1097	CALL rrd_read_parts_of_global
1098	ELSE
1099	DO i = 0, io_blocks-1
1100	IF ( i == io_group ) THEN
1101	CALL rrd_read_parts_of_global
1102	ENDIF
1103	#if defined( __parallel )
1104	CALL MPI_BARRIER( comm2d, ierr )
1105	#endif
1106	ENDDO
1107	ENDIF
1108
1109	ENDIF
1110
1111	!
1112	!-- Read processor specific binary data from restart file.
1113	!-- Blockwise I/O does not work together with MPI-I/O
1114	IF ( restart_data_format_input(1:3) == 'mpi' ) THEN
1115	CALL rrd_local
1116	ELSE
1117	DO i = 0, io_blocks-1
1118	IF ( i == io_group ) THEN
1119	CALL rrd_local
1120	ENDIF
1121	#if defined( __parallel )
1122	CALL MPI_BARRIER( comm2d, ierr )
1123	#endif
1124	ENDDO
1125	ENDIF
1126
1127
1128	IF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
1129
1130	!
1131	!-- In case of cyclic fill, call init_surfaces a second time, so that surface properties such
1132	!-- as heat fluxes are initialized as prescribed.
1133	CALL init_surfaces
1134
1135	!
1136	!-- Overwrite u_init, v_init, pt_init, q_init and s_init with the horizontally mean (hom)
1137	!-- vertical profiles from the end of the prerun, because these profiles shall be used as the
1138	!-- reference state for the rayleigh damping and the pt_damping. This is especially important
1139	!-- for the use of large_scale_subsidence, because the reference temperature in the free
1140	!-- atmosphere changes in time.
1141	u_init(:) = hom_sum(:,1,0)
1142	v_init(:) = hom_sum(:,2,0)
1143	pt_init(:) = hom_sum(:,4,0)
1144	IF ( humidity ) q_init(:) = hom_sum(:,41,0)
1145	IF ( passive_scalar ) s_init(:) = hom_sum(:,115,0)
1146	ENDIF
1147	!
1148	!-- In case of complex terrain and cyclic fill method as initialization, shift initial data in
1149	!-- the vertical direction for each point in the x-y-plane depending on local surface height.
1150	IF ( complex_terrain .AND. TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
1151	DO i = nxlg, nxrg
1152	DO j = nysg, nyng
1153	nz_u_shift = topo_top_ind(j,i,1)
1154	nz_v_shift = topo_top_ind(j,i,2)
1155	nz_w_shift = topo_top_ind(j,i,3)
1156	nz_s_shift = topo_top_ind(j,i,0)
1157
1158	u(nz_u_shift:nzt+1,j,i) = u(0:nzt+1-nz_u_shift,j,i)
1159
1160	v(nz_v_shift:nzt+1,j,i) = v(0:nzt+1-nz_v_shift,j,i)
1161
1162	w(nz_w_shift:nzt+1,j,i) = w(0:nzt+1-nz_w_shift,j,i)
1163
1164	p(nz_s_shift:nzt+1,j,i) = p(0:nzt+1-nz_s_shift,j,i)
1165	pt(nz_s_shift:nzt+1,j,i) = pt(0:nzt+1-nz_s_shift,j,i)
1166	ENDDO
1167	ENDDO
1168	ENDIF
1169	!
1170	!-- Initialization of the turbulence recycling method
1171	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. turbulent_inflow ) THEN
1172	!
1173	!-- First store the profiles to be used at the inflow.
1174	!-- These profiles are the (temporally) and horizontally averaged vertical profiles from the
1175	!-- prerun. Alternatively, prescribed profiles for u,v-components can be used.
1176	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,1:num_mean_inflow_profiles) )
1177
1178	IF ( use_prescribed_profile_data ) THEN
1179	mean_inflow_profiles(:,1) = u_init ! u
1180	mean_inflow_profiles(:,2) = v_init ! v
1181	ELSE
1182	mean_inflow_profiles(:,1) = hom_sum(:,1,0) ! u
1183	mean_inflow_profiles(:,2) = hom_sum(:,2,0) ! v
1184	ENDIF
1185	mean_inflow_profiles(:,4) = hom_sum(:,4,0) ! pt
1186	IF ( humidity ) mean_inflow_profiles(:,6) = hom_sum(:,41,0) ! q
1187	IF ( passive_scalar ) mean_inflow_profiles(:,7) = hom_sum(:,115,0) ! s
1188
1189	!
1190	!-- In case of complex terrain, determine vertical displacement at inflow boundary and adjust
1191	!-- mean inflow profiles
1192	IF ( complex_terrain ) THEN
1193	IF ( nxlg <= 0 .AND. nxrg >= 0 .AND. nysg <= 0 .AND. nyng >= 0 ) THEN
1194	nz_u_shift_l = topo_top_ind(j,i,1)
1195	nz_v_shift_l = topo_top_ind(j,i,2)
1196	nz_w_shift_l = topo_top_ind(j,i,3)
1197	nz_s_shift_l = topo_top_ind(j,i,0)
1198	ELSE
1199	nz_u_shift_l = 0
1200	nz_v_shift_l = 0
1201	nz_w_shift_l = 0
1202	nz_s_shift_l = 0
1203	ENDIF
1204
1205	#if defined( __parallel )
1206	CALL MPI_ALLREDUCE( nz_u_shift_l, nz_u_shift, 1, MPI_INTEGER, MPI_MAX, comm2d, ierr )
1207	CALL MPI_ALLREDUCE( nz_v_shift_l, nz_v_shift, 1, MPI_INTEGER, MPI_MAX, comm2d, ierr )
1208	CALL MPI_ALLREDUCE( nz_w_shift_l, nz_w_shift, 1, MPI_INTEGER, MPI_MAX, comm2d, ierr )
1209	CALL MPI_ALLREDUCE( nz_s_shift_l, nz_s_shift, 1, MPI_INTEGER, MPI_MAX, comm2d, ierr )
1210	#else
1211	nz_u_shift = nz_u_shift_l
1212	nz_v_shift = nz_v_shift_l
1213	nz_w_shift = nz_w_shift_l
1214	nz_s_shift = nz_s_shift_l
1215	#endif
1216
1217	mean_inflow_profiles(:,1) = 0.0_wp
1218	mean_inflow_profiles(nz_u_shift:nzt+1,1) = hom_sum(0:nzt+1-nz_u_shift,1,0) ! u
1219
1220	mean_inflow_profiles(:,2) = 0.0_wp
1221	mean_inflow_profiles(nz_v_shift:nzt+1,2) = hom_sum(0:nzt+1-nz_v_shift,2,0) ! v
1222
1223	mean_inflow_profiles(nz_s_shift:nzt+1,4) = hom_sum(0:nzt+1-nz_s_shift,4,0) ! pt
1224
1225	ENDIF
1226
1227	!
1228	!-- If necessary, adjust the horizontal flow field to the prescribed profiles
1229	IF ( use_prescribed_profile_data ) THEN
1230	DO i = nxlg, nxrg
1231	DO j = nysg, nyng
1232	DO k = nzb, nzt+1
1233	u(k,j,i) = u(k,j,i) - hom_sum(k,1,0) + u_init(k)
1234	v(k,j,i) = v(k,j,i) - hom_sum(k,2,0) + v_init(k)
1235	ENDDO
1236	ENDDO
1237	ENDDO
1238	ENDIF
1239
1240	!
1241	!-- Use these mean profiles at the inflow (provided that Dirichlet conditions are used)
1242	IF ( bc_dirichlet_l ) THEN
1243	DO j = nysg, nyng
1244	DO k = nzb, nzt+1
1245	u(k,j,nxlg:-1) = mean_inflow_profiles(k,1)
1246	v(k,j,nxlg:-1) = mean_inflow_profiles(k,2)
1247	w(k,j,nxlg:-1) = 0.0_wp
1248	pt(k,j,nxlg:-1) = mean_inflow_profiles(k,4)
1249	IF ( humidity ) q(k,j,nxlg:-1) = mean_inflow_profiles(k,6)
1250	IF ( passive_scalar ) s(k,j,nxlg:-1) = mean_inflow_profiles(k,7)
1251	ENDDO
1252	ENDDO
1253	ENDIF
1254
1255	!
1256	!-- Calculate the damping factors to be used at the inflow. For a turbulent inflow the
1257	!-- turbulent fluctuations have to be limited vertically because otherwise the turbulent
1258	!-- inflow layer will grow in time.
1259	IF ( inflow_damping_height == 9999999.9_wp ) THEN
1260	!
1261	!-- Default: use the inversion height calculated by the prerun; if this is zero,
1262	!-- inflow_damping_height must be explicitly specified.
1263	IF ( hom_sum(nzb+6,pr_palm,0) /= 0.0_wp ) THEN
1264	inflow_damping_height = hom_sum(nzb+6,pr_palm,0)
1265	ELSE
1266	WRITE( message_string, * ) 'inflow_damping_height must be ', &
1267	'explicitly specified because&the inversion height ', &
1268	'calculated by the prerun is zero.'
1269	CALL message( 'init_3d_model', 'PA0318', 1, 2, 0, 6, 0 )
1270	ENDIF
1271
1272	ENDIF
1273
1274	IF ( inflow_damping_width == 9999999.9_wp ) THEN
1275	!
1276	!-- Default for the transition range: one tenth of the undamped layer
1277	inflow_damping_width = 0.1_wp * inflow_damping_height
1278
1279	ENDIF
1280
1281	ALLOCATE( inflow_damping_factor(nzb:nzt+1) )
1282
1283	DO k = nzb, nzt+1
1284
1285	IF ( zu(k) <= inflow_damping_height ) THEN
1286	inflow_damping_factor(k) = 1.0_wp
1287	ELSEIF ( zu(k) <= ( inflow_damping_height + inflow_damping_width ) ) THEN
1288	inflow_damping_factor(k) = 1.0_wp - &
1289	( zu(k) - inflow_damping_height ) / inflow_damping_width
1290	ELSE
1291	inflow_damping_factor(k) = 0.0_wp
1292	ENDIF
1293
1294	ENDDO
1295
1296	ENDIF
1297
1298	!
1299	!-- Inside buildings set velocities back to zero
1300	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. topography /= 'flat' ) THEN
1301	!
1302	!-- Inside buildings set velocities back to zero.
1303	!-- Other scalars (pt, q, s, p, sa, ...) are ignored at present,
1304	!-- maybe revise later.
1305	DO i = nxlg, nxrg
1306	DO j = nysg, nyng
1307	DO k = nzb, nzt
1308	u(k,j,i) = MERGE( u(k,j,i), 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 1 ) )
1309	v(k,j,i) = MERGE( v(k,j,i), 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 2 ) )
1310	w(k,j,i) = MERGE( w(k,j,i), 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 3 ) )
1311	ENDDO
1312	ENDDO
1313	ENDDO
1314
1315	ENDIF
1316
1317	!
1318	!-- Calculate initial temperature field and other constants used in case of a sloping surface
1319	IF ( sloping_surface ) CALL init_slope
1320
1321	!
1322	!-- Initialize new time levels (only done in order to set boundary values including ghost points)
1323	pt_p = pt; u_p = u; v_p = v; w_p = w
1324	IF ( humidity ) THEN
1325	q_p = q
1326	ENDIF
1327	IF ( passive_scalar ) s_p = s
1328	!
1329	!-- Allthough tendency arrays are set in prognostic_equations, they have have to be predefined
1330	!-- here because they are used (but multiplied with 0) there before they are set.
1331	tpt_m = 0.0_wp; tu_m = 0.0_wp; tv_m = 0.0_wp; tw_m = 0.0_wp
1332	IF ( humidity ) THEN
1333	tq_m = 0.0_wp
1334	ENDIF
1335	IF ( passive_scalar ) ts_m = 0.0_wp
1336
1337	IF ( debug_output ) THEN
1338	CALL debug_message( 'initializing in case of restart / cyclic_fill', 'end' )
1339	ENDIF
1340
1341	ELSE
1342	!
1343	!-- Actually this part of the programm should not be reached
1344	message_string = 'unknown initializing problem'
1345	CALL message( 'init_3d_model', 'PA0193', 1, 2, 0, 6, 0 )
1346	ENDIF
1347
1348
1349	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1350	!
1351	!-- Initialize old timelevels needed for radiation boundary conditions
1352	IF ( bc_radiation_l ) THEN
1353	u_m_l(:,:,:) = u(:,:,1:2)
1354	v_m_l(:,:,:) = v(:,:,0:1)
1355	w_m_l(:,:,:) = w(:,:,0:1)
1356	ENDIF
1357	IF ( bc_radiation_r ) THEN
1358	u_m_r(:,:,:) = u(:,:,nx-1:nx)
1359	v_m_r(:,:,:) = v(:,:,nx-1:nx)
1360	w_m_r(:,:,:) = w(:,:,nx-1:nx)
1361	ENDIF
1362	IF ( bc_radiation_s ) THEN
1363	u_m_s(:,:,:) = u(:,0:1,:)
1364	v_m_s(:,:,:) = v(:,1:2,:)
1365	w_m_s(:,:,:) = w(:,0:1,:)
1366	ENDIF
1367	IF ( bc_radiation_n ) THEN
1368	u_m_n(:,:,:) = u(:,ny-1:ny,:)
1369	v_m_n(:,:,:) = v(:,ny-1:ny,:)
1370	w_m_n(:,:,:) = w(:,ny-1:ny,:)
1371	ENDIF
1372
1373	ENDIF
1374
1375	!
1376	!-- Calculate the initial volume flow at the right and north boundary
1377	IF ( conserve_volume_flow ) THEN
1378
1379	IF ( use_prescribed_profile_data ) THEN
1380
1381	volume_flow_initial_l = 0.0_wp
1382	volume_flow_area_l = 0.0_wp
1383
1384	IF ( nxr == nx ) THEN
1385	DO j = nys, nyn
1386	DO k = nzb+1, nzt
1387	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1388	u_init(k) * dzw(k) &
1389	* MERGE( 1.0_wp, 0.0_wp, &
1390	BTEST( wall_flags_total_0(k,j,nxr), 1 ) &
1391	)
1392
1393	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k) &
1394	* MERGE( 1.0_wp, 0.0_wp, &
1395	BTEST( wall_flags_total_0(k,j,nxr), 1 ) &
1396	)
1397	ENDDO
1398	ENDDO
1399	ENDIF
1400
1401	IF ( nyn == ny ) THEN
1402	DO i = nxl, nxr
1403	DO k = nzb+1, nzt
1404	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1405	v_init(k) * dzw(k) &
1406	* MERGE( 1.0_wp, 0.0_wp, &
1407	BTEST( wall_flags_total_0(k,nyn,i), 2 ) &
1408	)
1409	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k) &
1410	* MERGE( 1.0_wp, 0.0_wp, &
1411	BTEST( wall_flags_total_0(k,nyn,i), 2 ) &
1412	)
1413	ENDDO
1414	ENDDO
1415	ENDIF
1416
1417	#if defined( __parallel )
1418	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1), 2, MPI_REAL, &
1419	MPI_SUM, comm2d, ierr )
1420	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), 2, MPI_REAL, MPI_SUM, &
1421	comm2d, ierr )
1422
1423	#else
1424	volume_flow_initial = volume_flow_initial_l
1425	volume_flow_area = volume_flow_area_l
1426	#endif
1427
1428	ELSEIF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
1429
1430	volume_flow_initial_l = 0.0_wp
1431	volume_flow_area_l = 0.0_wp
1432
1433	IF ( nxr == nx ) THEN
1434	DO j = nys, nyn
1435	DO k = nzb+1, nzt
1436	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1437	hom_sum(k,1,0) * dzw(k) &
1438	* MERGE( 1.0_wp, 0.0_wp, &
1439	BTEST( wall_flags_total_0(k,j,nx), 1 ) &
1440	)
1441	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k) &
1442	* MERGE( 1.0_wp, 0.0_wp, &
1443	BTEST( wall_flags_total_0(k,j,nx), 1 ) &
1444	)
1445	ENDDO
1446	ENDDO
1447	ENDIF
1448
1449	IF ( nyn == ny ) THEN
1450	DO i = nxl, nxr
1451	DO k = nzb+1, nzt
1452	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1453	hom_sum(k,2,0) * dzw(k) &
1454	* MERGE( 1.0_wp, 0.0_wp, &
1455	BTEST( wall_flags_total_0(k,ny,i), 2 ) &
1456	)
1457	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k) &
1458	* MERGE( 1.0_wp, 0.0_wp, &
1459	BTEST( wall_flags_total_0(k,ny,i), 2 ) &
1460	)
1461	ENDDO
1462	ENDDO
1463	ENDIF
1464
1465	#if defined( __parallel )
1466	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1), 2, MPI_REAL, &
1467	MPI_SUM, comm2d, ierr )
1468	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), 2, MPI_REAL, MPI_SUM, &
1469	comm2d, ierr )
1470
1471	#else
1472	volume_flow_initial = volume_flow_initial_l
1473	volume_flow_area = volume_flow_area_l
1474	#endif
1475
1476	ELSEIF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1477
1478	volume_flow_initial_l = 0.0_wp
1479	volume_flow_area_l = 0.0_wp
1480
1481	IF ( nxr == nx ) THEN
1482	DO j = nys, nyn
1483	DO k = nzb+1, nzt
1484	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1485	u(k,j,nx) * dzw(k) &
1486	* MERGE( 1.0_wp, 0.0_wp, &
1487	BTEST( wall_flags_total_0(k,j,nx), 1 ) &
1488	)
1489	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k) &
1490	* MERGE( 1.0_wp, 0.0_wp, &
1491	BTEST( wall_flags_total_0(k,j,nx), 1 ) &
1492	)
1493	ENDDO
1494	ENDDO
1495	ENDIF
1496
1497	IF ( nyn == ny ) THEN
1498	DO i = nxl, nxr
1499	DO k = nzb+1, nzt
1500	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1501	v(k,ny,i) * dzw(k) &
1502	* MERGE( 1.0_wp, 0.0_wp, &
1503	BTEST( wall_flags_total_0(k,ny,i), 2 ) &
1504	)
1505	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k) &
1506	* MERGE( 1.0_wp, 0.0_wp, &
1507	BTEST( wall_flags_total_0(k,ny,i), 2 ) &
1508	)
1509	ENDDO
1510	ENDDO
1511	ENDIF
1512
1513	#if defined( __parallel )
1514	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1), 2, MPI_REAL, &
1515	MPI_SUM, comm2d, ierr )
1516	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), 2, MPI_REAL, MPI_SUM, &
1517	comm2d, ierr )
1518
1519	#else
1520	volume_flow_initial = volume_flow_initial_l
1521	volume_flow_area = volume_flow_area_l
1522	#endif
1523
1524	ENDIF
1525
1526	!
1527	!-- In case of 'bulk_velocity' mode, volume_flow_initial is calculated from u\|v_bulk instead
1528	IF ( TRIM( conserve_volume_flow_mode ) == 'bulk_velocity' ) THEN
1529	volume_flow_initial(1) = u_bulk * volume_flow_area(1)
1530	volume_flow_initial(2) = v_bulk * volume_flow_area(2)
1531	ENDIF
1532
1533	ENDIF
1534	!
1535	!-- In the following, surface properties can be further initialized with input from static driver
1536	!-- file.
1537	!-- At the moment this affects only default surfaces. For example, roughness length or sensible /
1538	!-- latent heat fluxes can be initialized heterogeneously for default surfaces. Therefore, a generic
1539	!-- routine from netcdf_data_input_mod is called to read a 2D array.
1540	IF ( input_pids_static ) THEN
1541	!
1542	!-- Allocate memory for possible static input
1543	ALLOCATE( tmp_2d%var(nys:nyn,nxl:nxr) )
1544	tmp_2d%var = 0.0_wp
1545	!
1546	!-- Open the static input file
1547	#if defined( __netcdf )
1548	CALL open_read_file( TRIM( input_file_static ) // &
1549	TRIM( coupling_char ), pids_id )
1550
1551	CALL inquire_num_variables( pids_id, num_var_pids )
1552	!
1553	!-- Allocate memory to store variable names and read them
1554	ALLOCATE( vars_pids(1:num_var_pids) )
1555	CALL inquire_variable_names( pids_id, vars_pids )
1556	!
1557	!-- Input roughness length.
1558	IF ( check_existence( vars_pids, 'z0' ) ) THEN
1559	!
1560	!-- Read _FillValue attribute
1561	CALL get_attribute( pids_id, char_fill, tmp_2d%fill, .FALSE., 'z0' )
1562	!
1563	!-- Read variable
1564	CALL get_variable( pids_id, 'z0', tmp_2d%var, nxl, nxr, nys, nyn )
1565	!
1566	!-- Initialize roughness length. Note, z0 will be only initialized at default-type surfaces.
1567	!-- At natural or urban z0 is implicitly initialized by the respective parameter lists.
1568	!-- Initialize horizontal surface elements.
1569	CALL init_single_surface_properties( surf_def_h(0)%z0, tmp_2d%var, surf_def_h(0)%ns, &
1570	tmp_2d%fill, surf_def_h(0)%i, surf_def_h(0)%j )
1571	!
1572	!-- Initialize roughness also at vertical surface elements.
1573	!-- Note, the actual 2D input arrays are only defined on the subdomain. Therefore, pass the
1574	!-- index arrays with their respective offset values.
1575	DO l = 0, 3
1576	CALL init_single_surface_properties( surf_def_v(l)%z0, tmp_2d%var, surf_def_v(l)%ns, &
1577	tmp_2d%fill, surf_def_v(l)%i+surf_def_v(l)%ioff, &
1578	surf_def_v(l)%j+surf_def_v(l)%joff )
1579	ENDDO
1580
1581	ENDIF
1582	!
1583	!-- Input surface sensible heat flux.
1584	IF ( check_existence( vars_pids, 'shf' ) ) THEN
1585	!
1586	!-- Read _FillValue attribute
1587	CALL get_attribute( pids_id, char_fill, tmp_2d%fill, .FALSE., 'shf' )
1588	!
1589	!-- Read variable
1590	CALL get_variable( pids_id, 'shf', tmp_2d%var, nxl, nxr, nys, nyn )
1591	!
1592	!-- Initialize heat flux. Note, shf will be only initialized at default-type surfaces. At
1593	!-- natural or urban shf is implicitly initialized by the respective parameter lists.
1594	!-- Initialize horizontal surface elements.
1595	CALL init_single_surface_properties( surf_def_h(0)%shf, tmp_2d%var, surf_def_h(0)%ns, &
1596	tmp_2d%fill, surf_def_h(0)%i, surf_def_h(0)%j )
1597	!
1598	!-- Initialize heat flux also at vertical surface elements.
1599	!-- Note, the actual 2D input arrays are only defined on the subdomain. Therefore, pass the
1600	!-- index arrays with their respective offset values.
1601	DO l = 0, 3
1602	CALL init_single_surface_properties( surf_def_v(l)%shf, tmp_2d%var, surf_def_v(l)%ns, &
1603	tmp_2d%fill, surf_def_v(l)%i+surf_def_v(l)%ioff, &
1604	surf_def_v(l)%j+surf_def_v(l)%joff )
1605	ENDDO
1606
1607	ENDIF
1608	!
1609	!-- Input surface latent heat flux.
1610	IF ( humidity ) THEN
1611	IF ( check_existence( vars_pids, 'qsws' ) ) THEN
1612	!
1613	!-- Read _FillValue attribute
1614	CALL get_attribute( pids_id, char_fill, tmp_2d%fill, .FALSE., 'qsws' )
1615	!
1616	!-- Read variable
1617	CALL get_variable( pids_id, 'qsws', tmp_2d%var, nxl, nxr, nys, nyn )
1618	!
1619	!-- Initialize latent heat flux. Note, qsws will be only initialized at default-type surfaces.
1620	!-- At natural or urban qsws is implicitly initialized by the respective parameter lists.
1621	!-- Initialize horizontal surface elements.
1622	CALL init_single_surface_properties( surf_def_h(0)%qsws, tmp_2d%var, surf_def_h(0)%ns,&
1623	tmp_2d%fill, surf_def_h(0)%i, surf_def_h(0)%j )
1624	!
1625	!-- Initialize latent heat flux also at vertical surface elements.
1626	!-- Note, the actual 2D input arrays are only defined on the subdomain. Therefore, pass the
1627	!-- index arrays with their respective offset values.
1628	DO l = 0, 3
1629	CALL init_single_surface_properties( surf_def_v(l)%qsws, tmp_2d%var, &
1630	surf_def_v(l)%ns, tmp_2d%fill, &
1631	surf_def_v(l)%i+surf_def_v(l)%ioff, &
1632	surf_def_v(l)%j+surf_def_v(l)%joff )
1633	ENDDO
1634
1635	ENDIF
1636	ENDIF
1637	!
1638	!-- Input passive scalar flux.
1639	IF ( passive_scalar ) THEN
1640	IF ( check_existence( vars_pids, 'ssws' ) ) THEN
1641	!
1642	!-- Read _FillValue attribute
1643	CALL get_attribute( pids_id, char_fill, tmp_2d%fill, .FALSE., 'ssws' )
1644	!
1645	!-- Read variable
1646	CALL get_variable( pids_id, 'ssws', tmp_2d%var, nxl, nxr, nys, nyn )
1647	!
1648	!-- Initialize passive scalar flux. Initialize horizontal surface elements.
1649	CALL init_single_surface_properties( surf_def_h(0)%ssws, tmp_2d%var, surf_def_h(0)%ns,&
1650	tmp_2d%fill, surf_def_h(0)%i, surf_def_h(0)%j )
1651
1652	DO l = 0, 3
1653	CALL init_single_surface_properties( surf_def_v(l)%ssws, tmp_2d%var, &
1654	surf_def_v(l)%ns, tmp_2d%fill, &
1655	surf_def_v(l)%i+surf_def_v(l)%ioff, &
1656	surf_def_v(l)%j+surf_def_v(l)%joff )
1657	ENDDO
1658
1659	ENDIF
1660	ENDIF
1661	!
1662	!-- Additional variables, can be initialized the
1663	!-- same way.
1664
1665	!
1666	!-- Finally, close the input file and deallocate temporary arrays
1667	DEALLOCATE( vars_pids )
1668
1669	CALL close_input_file( pids_id )
1670	#endif
1671	DEALLOCATE( tmp_2d%var )
1672	ENDIF
1673	!
1674	!-- Finally, if random_heatflux is set, disturb shf at horizontal surfaces. Actually, this should be
1675	!-- done in surface_mod, where all other initializations of surface quantities are done. However,
1676	!-- this would create a ring dependency, hence, it is done here. Maybe delete disturb_heatflux and
1677	!-- tranfer the respective code directly into the initialization in surface_mod.
1678	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
1679	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
1680
1681	IF ( use_surface_fluxes .AND. constant_heatflux .AND. random_heatflux ) THEN
1682	IF ( surf_def_h(0)%ns >= 1 ) CALL disturb_heatflux( surf_def_h(0) )
1683	IF ( surf_lsm_h(0)%ns >= 1 ) CALL disturb_heatflux( surf_lsm_h(0) )
1684	IF ( surf_usm_h(0)%ns >= 1 ) CALL disturb_heatflux( surf_usm_h(0) )
1685	ENDIF
1686	ENDIF
1687
1688	!
1689	!-- Compute total sum of grid points and the mean surface level height for each statistic region.
1690	!-- These are mainly used for horizontal averaging of turbulence statistics.
1691	!-- ngp_2dh: number of grid points of a horizontal cross section through the respective statistic
1692	!-- region
1693	!-- ngp_3d: number of grid points of the respective statistic region
1694	ngp_2dh_outer_l = 0
1695	ngp_2dh_outer = 0
1696	ngp_2dh_s_inner_l = 0
1697	ngp_2dh_s_inner = 0
1698	ngp_2dh_l = 0
1699	ngp_2dh = 0
1700	ngp_3d_inner_l = 0.0_wp
1701	ngp_3d_inner = 0
1702	ngp_3d = 0
1703	ngp_sums = ( nz + 2 ) * ( pr_palm + max_pr_user )
1704
1705	mean_surface_level_height = 0.0_wp
1706	mean_surface_level_height_l = 0.0_wp
1707	!
1708	!-- To do: New concept for these non-topography grid points!
1709	DO sr = 0, statistic_regions
1710	DO i = nxl, nxr
1711	DO j = nys, nyn
1712	IF ( rmask(j,i,sr) == 1.0_wp ) THEN
1713	!
1714	!-- All xy-grid points
1715	ngp_2dh_l(sr) = ngp_2dh_l(sr) + 1
1716	!
1717	!-- Determine mean surface-level height. In case of downward-facing walls are present,
1718	!-- more than one surface level exist.
1719	!-- In this case, use the lowest surface-level height.
1720	IF ( surf_def_h(0)%start_index(j,i) <= surf_def_h(0)%end_index(j,i) ) THEN
1721	m = surf_def_h(0)%start_index(j,i)
1722	k = surf_def_h(0)%k(m)
1723	mean_surface_level_height_l(sr) = mean_surface_level_height_l(sr) + zw(k-1)
1724	ENDIF
1725	IF ( surf_lsm_h(0)%start_index(j,i) <= surf_lsm_h(0)%end_index(j,i) ) THEN
1726	m = surf_lsm_h(0)%start_index(j,i)
1727	k = surf_lsm_h(0)%k(m)
1728	mean_surface_level_height_l(sr) = mean_surface_level_height_l(sr) + zw(k-1)
1729	ENDIF
1730	IF ( surf_usm_h(0)%start_index(j,i) <= surf_usm_h(0)%end_index(j,i) ) THEN
1731	m = surf_usm_h(0)%start_index(j,i)
1732	k = surf_usm_h(0)%k(m)
1733	mean_surface_level_height_l(sr) = mean_surface_level_height_l(sr) + zw(k-1)
1734	ENDIF
1735
1736	k_surf = k - 1
1737
1738	DO k = nzb, nzt+1
1739	!
1740	!-- xy-grid points above topography
1741	ngp_2dh_outer_l(k,sr) = ngp_2dh_outer_l(k,sr) + &
1742	MERGE( 1, 0, BTEST( wall_flags_total_0(k,j,i), 24 ) )
1743
1744	ngp_2dh_s_inner_l(k,sr) = ngp_2dh_s_inner_l(k,sr) + &
1745	MERGE( 1, 0, BTEST( wall_flags_total_0(k,j,i), 22 ) )
1746
1747	ENDDO
1748	!
1749	!-- All grid points of the total domain above topography
1750	ngp_3d_inner_l(sr) = ngp_3d_inner_l(sr) + ( nz - k_surf + 2 )
1751
1752
1753
1754	ENDIF
1755	ENDDO
1756	ENDDO
1757	ENDDO
1758
1759	sr = statistic_regions + 1
1760	#if defined( __parallel )
1761	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1762	CALL MPI_ALLREDUCE( ngp_2dh_l(0), ngp_2dh(0), sr, MPI_INTEGER, MPI_SUM, comm2d, ierr )
1763	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1764	CALL MPI_ALLREDUCE( ngp_2dh_outer_l(0,0), ngp_2dh_outer(0,0), (nz+2)*sr, MPI_INTEGER, MPI_SUM, &
1765	comm2d, ierr )
1766	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1767	CALL MPI_ALLREDUCE( ngp_2dh_s_inner_l(0,0), ngp_2dh_s_inner(0,0), (nz+2)*sr, MPI_INTEGER, &
1768	MPI_SUM, comm2d, ierr )
1769	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1770	CALL MPI_ALLREDUCE( ngp_3d_inner_l(0), ngp_3d_inner_tmp(0), sr, MPI_REAL, MPI_SUM, comm2d, &
1771	ierr )
1772	ngp_3d_inner = INT( ngp_3d_inner_tmp, KIND = SELECTED_INT_KIND( 18 ) )
1773	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1774	CALL MPI_ALLREDUCE( mean_surface_level_height_l(0), mean_surface_level_height(0), sr, MPI_REAL,&
1775	MPI_SUM, comm2d, ierr )
1776	mean_surface_level_height = mean_surface_level_height / REAL( ngp_2dh )
1777	#else
1778	ngp_2dh = ngp_2dh_l
1779	ngp_2dh_outer = ngp_2dh_outer_l
1780	ngp_2dh_s_inner = ngp_2dh_s_inner_l
1781	ngp_3d_inner = INT( ngp_3d_inner_l, KIND = SELECTED_INT_KIND( 18 ) )
1782	mean_surface_level_height = mean_surface_level_height_l / REAL( ngp_2dh_l )
1783	#endif
1784
1785	ngp_3d = INT ( ngp_2dh, KIND = SELECTED_INT_KIND( 18 ) ) * &
1786	INT ( (nz + 2 ), KIND = SELECTED_INT_KIND( 18 ) )
1787
1788	!
1789	!-- Set a lower limit of 1 in order to avoid zero divisions in flow_statistics, buoyancy, etc. A
1790	!-- zero value will occur for cases where all grid points of the respective subdomain lie below the
1791	!-- surface topography
1792	ngp_2dh_outer = MAX( 1, ngp_2dh_outer(:,:) )
1793	ngp_3d_inner = MAX( INT(1, KIND = SELECTED_INT_KIND( 18 )), ngp_3d_inner(:) )
1794	ngp_2dh_s_inner = MAX( 1, ngp_2dh_s_inner(:,:) )
1795
1796	DEALLOCATE( mean_surface_level_height_l, ngp_2dh_l, ngp_2dh_outer_l, ngp_3d_inner_l, &
1797	ngp_3d_inner_tmp )
1798
1799	!
1800	!-- Initializae 3D offline nesting in COSMO model and read data from
1801	!-- external NetCDF file.
1802	IF ( nesting_offline ) CALL nesting_offl_init
1803	!
1804	!-- Initialize quantities for special advections schemes
1805	CALL init_advec
1806
1807	!
1808	!-- Impose random perturbation on the horizontal velocity field and then
1809	!-- remove the divergences from the velocity field at the initial stage
1810	IF ( create_disturbances .AND. disturbance_energy_limit /= 0.0_wp .AND. &
1811	TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
1812	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
1813
1814	IF ( debug_output ) THEN
1815	CALL debug_message( 'creating disturbances + applying pressure solver', 'start' )
1816	ENDIF
1817	!
1818	!-- Needed for both disturb_field and pres
1819	!$ACC DATA &
1820	!$ACC CREATE(tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg)) &
1821	!$ACC COPY(u(nzb:nzt+1,nysg:nyng,nxlg:nxrg)) &
1822	!$ACC COPY(v(nzb:nzt+1,nysg:nyng,nxlg:nxrg))
1823
1824	CALL disturb_field( 'u', tend, u )
1825	CALL disturb_field( 'v', tend, v )
1826
1827	!$ACC DATA &
1828	!$ACC CREATE(d(nzb+1:nzt,nys:nyn,nxl:nxr)) &
1829	!$ACC COPY(w(nzb:nzt+1,nysg:nyng,nxlg:nxrg)) &
1830	!$ACC COPY(p(nzb:nzt+1,nysg:nyng,nxlg:nxrg)) &
1831	!$ACC COPYIN(rho_air(nzb:nzt+1), rho_air_zw(nzb:nzt+1)) &
1832	!$ACC COPYIN(ddzu(1:nzt+1), ddzw(1:nzt+1)) &
1833	!$ACC COPYIN(wall_flags_total_0(nzb:nzt+1,nysg:nyng,nxlg:nxrg)) &
1834	!$ACC COPYIN(bc_h(0:1)) &
1835	!$ACC COPYIN(bc_h(0)%i(1:bc_h(0)%ns)) &
1836	!$ACC COPYIN(bc_h(0)%j(1:bc_h(0)%ns)) &
1837	!$ACC COPYIN(bc_h(0)%k(1:bc_h(0)%ns)) &
1838	!$ACC COPYIN(bc_h(1)%i(1:bc_h(1)%ns)) &
1839	!$ACC COPYIN(bc_h(1)%j(1:bc_h(1)%ns)) &
1840	!$ACC COPYIN(bc_h(1)%k(1:bc_h(1)%ns))
1841
1842	n_sor = nsor_ini
1843	CALL pres
1844	n_sor = nsor
1845
1846	!$ACC END DATA
1847	!$ACC END DATA
1848
1849	IF ( debug_output ) THEN
1850	CALL debug_message( 'creating disturbances + applying pressure solver', 'end' )
1851	ENDIF
1852
1853	ENDIF
1854
1855	IF ( .NOT. ocean_mode ) THEN
1856
1857	ALLOCATE( hyp(nzb:nzt+1) )
1858	ALLOCATE( d_exner(nzb:nzt+1) )
1859	ALLOCATE( exner(nzb:nzt+1) )
1860	ALLOCATE( hyrho(nzb:nzt+1) )
1861	!
1862	!-- Check temperature in case of too large domain height
1863	DO k = nzb, nzt+1
1864	IF ( ( pt_surface * exner_function( surface_pressure * 100.0_wp ) - g/c_p * zu(k) ) &
1865	< 0.0_wp ) THEN
1866	WRITE( message_string, * ) 'absolute temperature < 0.0 at zu(', k, ') = ', zu(k)
1867	CALL message( 'init_3d_model', 'PA0142', 1, 2, 0, 6, 0 )
1868	ENDIF
1869	ENDDO
1870
1871	!
1872	!-- Calculate vertical profile of the hydrostatic pressure (hyp)
1873	hyp = barometric_formula( zu, pt_surface * exner_function( surface_pressure * 100.0_wp ),&
1874	surface_pressure * 100.0_wp )
1875	d_exner = exner_function_invers( hyp )
1876	exner = 1.0_wp / exner_function_invers( hyp )
1877	hyrho = ideal_gas_law_rho_pt( hyp, pt_init )
1878	!
1879	!-- Compute reference density
1880	rho_surface = ideal_gas_law_rho( surface_pressure * 100.0_wp, &
1881	pt_surface * exner_function( surface_pressure * 100.0_wp ) )
1882
1883	ENDIF
1884
1885	!
1886	!-- If required, initialize particles
1887	IF ( agents_active ) CALL mas_init
1888	!
1889	!-- Initialization of synthetic turbulence generator
1890	IF ( use_syn_turb_gen ) CALL stg_init
1891	!
1892	!-- Initializing actions for all other modules
1893	CALL module_interface_init
1894	!
1895	!-- Initialize surface layer (done after LSM as roughness length are required for initialization
1896	IF ( constant_flux_layer ) CALL init_surface_layer_fluxes
1897	!
1898	!-- Initialize surface data output
1899	IF ( surface_output ) CALL surface_data_output_init
1900	!
1901	!-- Initialize the ws-scheme.
1902	IF ( ws_scheme_sca .OR. ws_scheme_mom ) CALL ws_init
1903	!
1904	!-- Perform post-initializing checks for all other modules
1905	CALL module_interface_init_checks
1906
1907	!
1908	!-- Initialize surface forcing corresponding to large-scale forcing. Therein,
1909	!-- initialize heat-fluxes, etc. via datatype. Revise it later!
1910	IF ( large_scale_forcing .AND. lsf_surf ) THEN
1911	IF ( use_surface_fluxes .AND. constant_heatflux ) THEN
1912	CALL ls_forcing_surf( simulated_time )
1913	ENDIF
1914	ENDIF
1915	!
1916	!-- Setting weighting factors for calculation of perturbation pressure and turbulent quantities from
1917	!-- the RK substeps.
1918	IF ( TRIM( timestep_scheme ) == 'runge-kutta-3' ) THEN ! for RK3-method
1919
1920	weight_substep(1) = 1._wp/6._wp
1921	weight_substep(2) = 3._wp/10._wp
1922	weight_substep(3) = 8._wp/15._wp
1923
1924	weight_pres(1) = 1._wp/3._wp
1925	weight_pres(2) = 5._wp/12._wp
1926	weight_pres(3) = 1._wp/4._wp
1927
1928	ELSEIF ( TRIM( timestep_scheme ) == 'runge-kutta-2' ) THEN ! for RK2-method
1929
1930	weight_substep(1) = 1._wp/2._wp
1931	weight_substep(2) = 1._wp/2._wp
1932
1933	weight_pres(1) = 1._wp/2._wp
1934	weight_pres(2) = 1._wp/2._wp
1935
1936	ELSE ! for Euler-method
1937
1938	weight_substep(1) = 1.0_wp
1939	weight_pres(1) = 1.0_wp
1940
1941	ENDIF
1942
1943	!
1944	!-- Initialize Rayleigh damping factors
1945	rdf = 0.0_wp
1946	rdf_sc = 0.0_wp
1947	IF ( rayleigh_damping_factor /= 0.0_wp ) THEN
1948
1949	IF ( .NOT. ocean_mode ) THEN
1950	DO k = nzb+1, nzt
1951	IF ( zu(k) >= rayleigh_damping_height ) THEN
1952	rdf(k) = rayleigh_damping_factor * &
1953	( SIN( pi * 0.5_wp * ( zu(k) - rayleigh_damping_height ) &
1954	/ ( zu(nzt) - rayleigh_damping_height ) ) &
1955	)**2
1956	ENDIF
1957	ENDDO
1958	ELSE
1959	!
1960	!-- In ocean mode, rayleigh damping is applied in the lower part of the model domain
1961	DO k = nzt, nzb+1, -1
1962	IF ( zu(k) <= rayleigh_damping_height ) THEN
1963	rdf(k) = rayleigh_damping_factor * &
1964	( SIN( pi * 0.5_wp * ( rayleigh_damping_height - zu(k) ) &
1965	/ ( rayleigh_damping_height - zu(nzb+1) ) ) &
1966	)**2
1967	ENDIF
1968	ENDDO
1969	ENDIF
1970
1971	ENDIF
1972	IF ( scalar_rayleigh_damping ) rdf_sc = rdf
1973
1974	!
1975	!-- Initialize the starting level and the vertical smoothing factor used for the external pressure
1976	!-- gradient
1977	dp_smooth_factor = 1.0_wp
1978	IF ( dp_external ) THEN
1979	!
1980	!-- Set the starting level dp_level_ind_b only if it has not been set before (e.g. in init_grid).
1981	IF ( dp_level_ind_b == 0 ) THEN
1982	ind_array = MINLOC( ABS( dp_level_b - zu ) )
1983	dp_level_ind_b = ind_array(1) - 1 + nzb
1984	! MINLOC uses lower array bound 1
1985	ENDIF
1986	IF ( dp_smooth ) THEN
1987	dp_smooth_factor(:dp_level_ind_b) = 0.0_wp
1988	DO k = dp_level_ind_b+1, nzt
1989	dp_smooth_factor(k) = 0.5_wp * ( 1.0_wp + SIN( pi * &
1990	( REAL( k - dp_level_ind_b, KIND=wp ) / &
1991	REAL( nzt - dp_level_ind_b, KIND=wp ) - 0.5_wp ) ) )
1992	ENDDO
1993	ENDIF
1994	ENDIF
1995
1996	!
1997	!-- Initialize damping zone for the potential temperature in case of non-cyclic lateral boundaries.
1998	!-- The damping zone has the maximum value at the inflow boundary and decreases to zero at
1999	!-- pt_damping_width.
2000	ptdf_x = 0.0_wp
2001	ptdf_y = 0.0_wp
2002	IF ( bc_lr_dirrad ) THEN
2003	DO i = nxl, nxr
2004	IF ( ( i * dx ) < pt_damping_width ) THEN
2005	ptdf_x(i) = pt_damping_factor * ( SIN( pi * 0.5_wp * &
2006	REAL( pt_damping_width - i * dx, KIND=wp ) / &
2007	REAL( pt_damping_width, KIND=wp ) ) )**2
2008	ENDIF
2009	ENDDO
2010	ELSEIF ( bc_lr_raddir ) THEN
2011	DO i = nxl, nxr
2012	IF ( ( i * dx ) > ( nx * dx - pt_damping_width ) ) THEN
2013	ptdf_x(i) = pt_damping_factor * SIN( pi * 0.5_wp * &
2014	( ( i - nx ) * dx + pt_damping_width ) / &
2015	REAL( pt_damping_width, KIND=wp ) )**2
2016	ENDIF
2017	ENDDO
2018	ELSEIF ( bc_ns_dirrad ) THEN
2019	DO j = nys, nyn
2020	IF ( ( j * dy ) > ( ny * dy - pt_damping_width ) ) THEN
2021	ptdf_y(j) = pt_damping_factor * SIN( pi * 0.5_wp * &
2022	( ( j - ny ) * dy + pt_damping_width ) / &
2023	REAL( pt_damping_width, KIND=wp ) )**2
2024	ENDIF
2025	ENDDO
2026	ELSEIF ( bc_ns_raddir ) THEN
2027	DO j = nys, nyn
2028	IF ( ( j * dy ) < pt_damping_width ) THEN
2029	ptdf_y(j) = pt_damping_factor * SIN( pi * 0.5_wp * &
2030	( pt_damping_width - j * dy ) / &
2031	REAL( pt_damping_width, KIND=wp ) )**2
2032	ENDIF
2033	ENDDO
2034	ENDIF
2035
2036	!
2037	!-- Input binary data file is not needed anymore. This line must be placed after call of user_init!
2038	CALL close_file( 13 )
2039	!
2040	!-- In case of nesting, put an barrier to assure that all parent and child domains finished
2041	!-- initialization.
2042	#if defined( __parallel )
2043	IF ( nested_run ) CALL MPI_BARRIER( MPI_COMM_WORLD, ierr )
2044	#endif
2045
2046
2047	CALL location_message( 'model initialization', 'finished' )
2048
2049	END SUBROUTINE init_3d_model

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