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1	!> @file init_3d_model.f90
2	!------------------------------------------------------------------------------!
3	! This file is part of PALM.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the
6	! terms of the GNU General Public License as published by the Free Software
7	! Foundation, either version 3 of the License, or (at your option) any later
8	! version.
9	!
10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
13	!
14	! You should have received a copy of the GNU General Public License along with
15	! PALM. If not, see <http://www.gnu.org/licenses/>.
16	!
17	! Copyright 1997-2017 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! ------------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: init_3d_model.f90 2101 2017-01-05 16:42:31Z kanani $
27	!
28	! 2037 2016-10-26 11:15:40Z knoop
29	! Anelastic approximation implemented
30	!
31	! 2031 2016-10-21 15:11:58Z knoop
32	! renamed variable rho to rho_ocean
33	!
34	! 2011 2016-09-19 17:29:57Z kanani
35	! Flag urban_surface is now defined in module control_parameters.
36	!
37	! 2007 2016-08-24 15:47:17Z kanani
38	! Added support for urban surface model,
39	! adjusted location_message in case of plant_canopy
40	!
41	! 2000 2016-08-20 18:09:15Z knoop
42	! Forced header and separation lines into 80 columns
43	!
44	! 1992 2016-08-12 15:14:59Z suehring
45	! Initializaton of scalarflux at model top
46	! Bugfixes in initialization of surface and top salinity flux, top scalar and
47	! humidity fluxes
48	!
49	! 1960 2016-07-12 16:34:24Z suehring
50	! Separate humidity and passive scalar
51	! Increase dimension for mean_inflow_profiles
52	! Remove inadvertent write-statement
53	! Bugfix, large-scale forcing is still not implemented for passive scalars
54	!
55	! 1957 2016-07-07 10:43:48Z suehring
56	! flight module added
57	!
58	! 1920 2016-05-30 10:50:15Z suehring
59	! Initialize us with very small number to avoid segmentation fault during
60	! calculation of Obukhov length
61	!
62	! 1918 2016-05-27 14:35:57Z raasch
63	! intermediate_timestep_count is set 0 instead 1 for first call of pres,
64	! bugfix: initialization of local sum arrays are moved to the beginning of the
65	! routine because otherwise results from pres are overwritten
66	!
67	! 1914 2016-05-26 14:44:07Z witha
68	! Added initialization of the wind turbine model
69	!
70	! 1878 2016-04-19 12:30:36Z hellstea
71	! The zeroth element of weight_pres removed as unnecessary
72	!
73	! 1849 2016-04-08 11:33:18Z hoffmann
74	! Adapted for modularization of microphysics.
75	! precipitation_amount, precipitation_rate, prr moved to arrays_3d.
76	! Initialization of nc_1d, nr_1d, pt_1d, qc_1d, qr_1d, q_1d moved to
77	! microphysics_init.
78	!
79	! 1845 2016-04-08 08:29:13Z raasch
80	! nzb_2d replaced by nzb_u\|v_inner
81	!
82	! 1833 2016-04-07 14:23:03Z raasch
83	! initialization of spectra quantities moved to spectra_mod
84	!
85	! 1831 2016-04-07 13:15:51Z hoffmann
86	! turbulence renamed collision_turbulence
87	!
88	! 1826 2016-04-07 12:01:39Z maronga
89	! Renamed radiation calls.
90	! Renamed canopy model calls.
91	!
92	! 1822 2016-04-07 07:49:42Z hoffmann
93	! icloud_scheme replaced by microphysics_*
94	!
95	! 1817 2016-04-06 15:44:20Z maronga
96	! Renamed lsm calls.
97	!
98	! 1815 2016-04-06 13:49:59Z raasch
99	! zero-settings for velocities inside topography re-activated (was deactivated
100	! in r1762)
101	!
102	! 1788 2016-03-10 11:01:04Z maronga
103	! Added z0q.
104	! Syntax layout improved.
105	!
106	! 1783 2016-03-06 18:36:17Z raasch
107	! netcdf module name changed + related changes
108	!
109	! 1764 2016-02-28 12:45:19Z raasch
110	! bugfix: increase size of volume_flow_area_l and volume_flow_initial_l by 1
111	!
112	! 1762 2016-02-25 12:31:13Z hellstea
113	! Introduction of nested domain feature
114	!
115	! 1738 2015-12-18 13:56:05Z raasch
116	! calculate mean surface level height for each statistic region
117	!
118	! 1734 2015-12-02 12:17:12Z raasch
119	! no initial disturbances in case that the disturbance energy limit has been
120	! set zero
121	!
122	! 1707 2015-11-02 15:24:52Z maronga
123	! Bugfix: transfer of Richardson number from 1D model to Obukhov length caused
124	! devision by zero in neutral stratification
125	!
126	! 1691 2015-10-26 16:17:44Z maronga
127	! Call to init_surface_layer added. rif is replaced by ol and zeta.
128	!
129	! 1682 2015-10-07 23:56:08Z knoop
130	! Code annotations made doxygen readable
131	!
132	! 1615 2015-07-08 18:49:19Z suehring
133	! Enable turbulent inflow for passive_scalar and humidity
134	!
135	! 1585 2015-04-30 07:05:52Z maronga
136	! Initialization of radiation code is now done after LSM initializtion
137	!
138	! 1575 2015-03-27 09:56:27Z raasch
139	! adjustments for psolver-queries
140	!
141	! 1551 2015-03-03 14:18:16Z maronga
142	! Allocation of land surface arrays is now done in the subroutine lsm_init_arrays,
143	! which is part of land_surface_model.
144	!
145	! 1507 2014-12-10 12:14:18Z suehring
146	! Bugfix: set horizontal velocity components to zero inside topography
147	!
148	! 1496 2014-12-02 17:25:50Z maronga
149	! Added initialization of the land surface and radiation schemes
150	!
151	! 1484 2014-10-21 10:53:05Z kanani
152	! Changes due to new module structure of the plant canopy model:
153	! canopy-related initialization (e.g. lad and canopy_heat_flux) moved to new
154	! subroutine init_plant_canopy within the module plant_canopy_model_mod,
155	! call of subroutine init_plant_canopy added.
156	!
157	! 1431 2014-07-15 14:47:17Z suehring
158	! var_d added, in order to normalize spectra.
159	!
160	! 1429 2014-07-15 12:53:45Z knoop
161	! Ensemble run capability added to parallel random number generator
162	!
163	! 1411 2014-05-16 18:01:51Z suehring
164	! Initial horizontal velocity profiles were not set to zero at the first vertical
165	! grid level in case of non-cyclic lateral boundary conditions.
166	!
167	! 1406 2014-05-16 13:47:01Z raasch
168	! bugfix: setting of initial velocities at k=1 to zero not in case of a
169	! no-slip boundary condition for uv
170	!
171	! 1402 2014-05-09 14:25:13Z raasch
172	! location messages modified
173	!
174	! 1400 2014-05-09 14:03:54Z knoop
175	! Parallel random number generator added
176	!
177	! 1384 2014-05-02 14:31:06Z raasch
178	! location messages added
179	!
180	! 1361 2014-04-16 15:17:48Z hoffmann
181	! tend_* removed
182	! Bugfix: w_subs is not allocated anymore if it is already allocated
183	!
184	! 1359 2014-04-11 17:15:14Z hoffmann
185	! module lpm_init_mod added to use statements, because lpm_init has become a
186	! module
187	!
188	! 1353 2014-04-08 15:21:23Z heinze
189	! REAL constants provided with KIND-attribute
190	!
191	! 1340 2014-03-25 19:45:13Z kanani
192	! REAL constants defined as wp-kind
193	!
194	! 1322 2014-03-20 16:38:49Z raasch
195	! REAL constants defined as wp-kind
196	! module interfaces removed
197	!
198	! 1320 2014-03-20 08:40:49Z raasch
199	! ONLY-attribute added to USE-statements,
200	! kind-parameters added to all INTEGER and REAL declaration statements,
201	! kinds are defined in new module kinds,
202	! revision history before 2012 removed,
203	! comment fields (!:) to be used for variable explanations added to
204	! all variable declaration statements
205	!
206	! 1316 2014-03-17 07:44:59Z heinze
207	! Bugfix: allocation of w_subs
208	!
209	! 1299 2014-03-06 13:15:21Z heinze
210	! Allocate w_subs due to extension of large scale subsidence in combination
211	! with large scale forcing data (LSF_DATA)
212	!
213	! 1241 2013-10-30 11:36:58Z heinze
214	! Overwrite initial profiles in case of nudging
215	! Inititialize shf and qsws in case of large_scale_forcing
216	!
217	! 1221 2013-09-10 08:59:13Z raasch
218	! +rflags_s_inner in copyin statement, use copyin for most arrays instead of
219	! copy
220	!
221	! 1212 2013-08-15 08:46:27Z raasch
222	! array tri is allocated and included in data copy statement
223	!
224	! 1195 2013-07-01 12:27:57Z heinze
225	! Bugfix: move allocation of ref_state to parin.f90 and read_var_list.f90
226	!
227	! 1179 2013-06-14 05:57:58Z raasch
228	! allocate and set ref_state to be used in buoyancy terms
229	!
230	! 1171 2013-05-30 11:27:45Z raasch
231	! diss array is allocated with full size if accelerator boards are used
232	!
233	! 1159 2013-05-21 11:58:22Z fricke
234	! -bc_lr_dirneu, bc_lr_neudir, bc_ns_dirneu, bc_ns_neudir
235	!
236	! 1153 2013-05-10 14:33:08Z raasch
237	! diss array is allocated with dummy elements even if it is not needed
238	! (required by PGI 13.4 / CUDA 5.0)
239	!
240	! 1115 2013-03-26 18:16:16Z hoffmann
241	! unused variables removed
242	!
243	! 1113 2013-03-10 02:48:14Z raasch
244	! openACC directive modified
245	!
246	! 1111 2013-03-08 23:54:10Z raasch
247	! openACC directives added for pres
248	! array diss allocated only if required
249	!
250	! 1092 2013-02-02 11:24:22Z raasch
251	! unused variables removed
252	!
253	! 1065 2012-11-22 17:42:36Z hoffmann
254	! allocation of diss (dissipation rate) in case of turbulence = .TRUE. added
255	!
256	! 1053 2012-11-13 17:11:03Z hoffmann
257	! allocation and initialisation of necessary data arrays for the two-moment
258	! cloud physics scheme the two new prognostic equations (nr, qr):
259	! +dr, lambda_r, mu_r, sed_, xr, s, sws, swst, , _p, t_m, _1, _2, _3,
260	! +tend_*, prr
261	!
262	! 1036 2012-10-22 13:43:42Z raasch
263	! code put under GPL (PALM 3.9)
264	!
265	! 1032 2012-10-21 13:03:21Z letzel
266	! save memory by not allocating pt_2 in case of neutral = .T.
267	!
268	! 1025 2012-10-07 16:04:41Z letzel
269	! bugfix: swap indices of mask for ghost boundaries
270	!
271	! 1015 2012-09-27 09:23:24Z raasch
272	! mask is set to zero for ghost boundaries
273	!
274	! 1010 2012-09-20 07:59:54Z raasch
275	! cpp switch __nopointer added for pointer free version
276	!
277	! 1003 2012-09-14 14:35:53Z raasch
278	! nxra,nyna, nzta replaced ny nxr, nyn, nzt
279	!
280	! 1001 2012-09-13 14:08:46Z raasch
281	! all actions concerning leapfrog scheme removed
282	!
283	! 996 2012-09-07 10:41:47Z raasch
284	! little reformatting
285	!
286	! 978 2012-08-09 08:28:32Z fricke
287	! outflow damping layer removed
288	! roughness length for scalar quantites z0h added
289	! damping zone for the potential temperatur in case of non-cyclic lateral
290	! boundaries added
291	! initialization of ptdf_x, ptdf_y
292	! initialization of c_u_m, c_u_m_l, c_v_m, c_v_m_l, c_w_m, c_w_m_l
293	!
294	! 849 2012-03-15 10:35:09Z raasch
295	! init_particles renamed lpm_init
296	!
297	! 825 2012-02-19 03:03:44Z raasch
298	! wang_collision_kernel renamed wang_kernel
299	!
300	! Revision 1.1 1998/03/09 16:22:22 raasch
301	! Initial revision
302	!
303	!
304	! Description:
305	! ------------
306	!> Allocation of arrays and initialization of the 3D model via
307	!> a) pre-run the 1D model
308	!> or
309	!> b) pre-set constant linear profiles
310	!> or
311	!> c) read values of a previous run
312	!------------------------------------------------------------------------------!
313	SUBROUTINE init_3d_model
314
315
316	USE advec_ws
317
318	USE arrays_3d
319
320	USE cloud_parameters, &
321	ONLY: cp, l_v, r_d
322
323	USE constants, &
324	ONLY: pi
325
326	USE control_parameters
327
328	USE flight_mod, &
329	ONLY: flight_init
330
331	USE grid_variables, &
332	ONLY: dx, dy, ddx2_mg, ddy2_mg
333
334	USE indices
335
336	USE lpm_init_mod, &
337	ONLY: lpm_init
338
339	USE kinds
340
341	USE land_surface_model_mod, &
342	ONLY: lsm_init, lsm_init_arrays, land_surface
343
344	USE ls_forcing_mod
345
346	USE microphysics_mod, &
347	ONLY: collision_turbulence, microphysics_init
348
349	USE model_1d, &
350	ONLY: e1d, kh1d, km1d, l1d, rif1d, u1d, us1d, usws1d, v1d, vsws1d
351
352	USE netcdf_interface, &
353	ONLY: dots_max, dots_num
354
355	USE particle_attributes, &
356	ONLY: particle_advection, use_sgs_for_particles, wang_kernel
357
358	USE pegrid
359
360	USE plant_canopy_model_mod, &
361	ONLY: pcm_init, plant_canopy
362
363	USE radiation_model_mod, &
364	ONLY: radiation_init, radiation
365
366	USE random_function_mod
367
368	USE random_generator_parallel, &
369	ONLY: random_number_parallel, random_seed_parallel, random_dummy, &
370	id_random_array, seq_random_array
371
372	USE statistics, &
373	ONLY: hom, hom_sum, mean_surface_level_height, pr_palm, rmask, &
374	statistic_regions, sums, sums_divnew_l, sums_divold_l, sums_l, &
375	sums_l_l, sums_up_fraction_l, sums_wsts_bc_l, ts_value, &
376	weight_pres, weight_substep
377
378	USE surface_layer_fluxes_mod, &
379	ONLY: init_surface_layer_fluxes
380
381	USE transpose_indices
382
383	USE urban_surface_mod, &
384	ONLY: usm_init_urban_surface
385
386	USE wind_turbine_model_mod, &
387	ONLY: wtm_init, wtm_init_arrays, wind_turbine
388
389	IMPLICIT NONE
390
391	INTEGER(iwp) :: i !<
392	INTEGER(iwp) :: ind_array(1) !<
393	INTEGER(iwp) :: j !<
394	INTEGER(iwp) :: k !<
395	INTEGER(iwp) :: sr !<
396
397	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ngp_2dh_l !<
398
399	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: ngp_2dh_outer_l !<
400	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: ngp_2dh_s_inner_l !<
401
402	REAL(wp) :: t_surface !< air temperature at the surface
403
404	REAL(wp), DIMENSION(:), ALLOCATABLE :: p_hydrostatic !< hydrostatic pressure
405
406	INTEGER(iwp) :: l !< loop variable
407	INTEGER(iwp) :: nzt_l !< index of top PE boundary for multigrid level
408	REAL(wp) :: dx_l !< grid spacing along x on different multigrid level
409	REAL(wp) :: dy_l !< grid spacing along y on different multigrid level
410
411	REAL(wp), DIMENSION(1:3) :: volume_flow_area_l !<
412	REAL(wp), DIMENSION(1:3) :: volume_flow_initial_l !<
413
414	REAL(wp), DIMENSION(:), ALLOCATABLE :: mean_surface_level_height_l !<
415	REAL(wp), DIMENSION(:), ALLOCATABLE :: ngp_3d_inner_l !<
416	REAL(wp), DIMENSION(:), ALLOCATABLE :: ngp_3d_inner_tmp !<
417
418
419	CALL location_message( 'allocating arrays', .FALSE. )
420	!
421	!-- Allocate arrays
422	ALLOCATE( mean_surface_level_height(0:statistic_regions), &
423	mean_surface_level_height_l(0:statistic_regions), &
424	ngp_2dh(0:statistic_regions), ngp_2dh_l(0:statistic_regions), &
425	ngp_3d(0:statistic_regions), &
426	ngp_3d_inner(0:statistic_regions), &
427	ngp_3d_inner_l(0:statistic_regions), &
428	ngp_3d_inner_tmp(0:statistic_regions), &
429	sums_divnew_l(0:statistic_regions), &
430	sums_divold_l(0:statistic_regions) )
431	ALLOCATE( dp_smooth_factor(nzb:nzt), rdf(nzb+1:nzt), rdf_sc(nzb+1:nzt) )
432	ALLOCATE( ngp_2dh_outer(nzb:nzt+1,0:statistic_regions), &
433	ngp_2dh_outer_l(nzb:nzt+1,0:statistic_regions), &
434	ngp_2dh_s_inner(nzb:nzt+1,0:statistic_regions), &
435	ngp_2dh_s_inner_l(nzb:nzt+1,0:statistic_regions), &
436	rmask(nysg:nyng,nxlg:nxrg,0:statistic_regions), &
437	sums(nzb:nzt+1,pr_palm+max_pr_user), &
438	sums_l(nzb:nzt+1,pr_palm+max_pr_user,0:threads_per_task-1), &
439	sums_l_l(nzb:nzt+1,0:statistic_regions,0:threads_per_task-1), &
440	sums_up_fraction_l(10,3,0:statistic_regions), &
441	sums_wsts_bc_l(nzb:nzt+1,0:statistic_regions), &
442	ts_value(dots_max,0:statistic_regions) )
443	ALLOCATE( ptdf_x(nxlg:nxrg), ptdf_y(nysg:nyng) )
444
445	ALLOCATE( ol(nysg:nyng,nxlg:nxrg), shf(nysg:nyng,nxlg:nxrg), &
446	ts(nysg:nyng,nxlg:nxrg), tswst(nysg:nyng,nxlg:nxrg), &
447	us(nysg:nyng,nxlg:nxrg), usws(nysg:nyng,nxlg:nxrg), &
448	uswst(nysg:nyng,nxlg:nxrg), vsws(nysg:nyng,nxlg:nxrg), &
449	vswst(nysg:nyng,nxlg:nxrg), z0(nysg:nyng,nxlg:nxrg), &
450	z0h(nysg:nyng,nxlg:nxrg), z0q(nysg:nyng,nxlg:nxrg) )
451
452	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr), &
453	kh(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
454	km(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
455	p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
456	tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
457
458	#if defined( __nopointer )
459	ALLOCATE( e(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
460	e_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
461	pt(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
462	pt_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
463	u(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
464	u_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
465	v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
466	v_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
467	w(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
468	w_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
469	te_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
470	tpt_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
471	tu_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
472	tv_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
473	tw_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
474	#else
475	ALLOCATE( e_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
476	e_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
477	e_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
478	pt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
479	pt_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
480	u_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
481	u_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
482	u_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
483	v_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
484	v_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
485	v_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
486	w_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
487	w_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
488	w_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
489	IF ( .NOT. neutral ) THEN
490	ALLOCATE( pt_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
491	ENDIF
492	#endif
493
494	!
495	!-- Following array is required for perturbation pressure within the iterative
496	!-- pressure solvers. For the multistep schemes (Runge-Kutta), array p holds
497	!-- the weighted average of the substeps and cannot be used in the Poisson
498	!-- solver.
499	IF ( psolver == 'sor' ) THEN
500	ALLOCATE( p_loc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
501	ELSEIF ( psolver(1:9) == 'multigrid' ) THEN
502	!
503	!-- For performance reasons, multigrid is using one ghost layer only
504	ALLOCATE( p_loc(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
505	ENDIF
506
507	!
508	!-- Array for storing constant coeffficients of the tridiagonal solver
509	IF ( psolver == 'poisfft' ) THEN
510	ALLOCATE( tri(nxl_z:nxr_z,nys_z:nyn_z,0:nz-1,2) )
511	ALLOCATE( tric(nxl_z:nxr_z,nys_z:nyn_z,0:nz-1) )
512	ENDIF
513
514	IF ( humidity ) THEN
515	!
516	!-- 2D-humidity
517	ALLOCATE ( qs(nysg:nyng,nxlg:nxrg), &
518	qsws(nysg:nyng,nxlg:nxrg), &
519	qswst(nysg:nyng,nxlg:nxrg) )
520
521	!
522	!-- 3D-humidity
523	#if defined( __nopointer )
524	ALLOCATE( q(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
525	q_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
526	tq_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
527	#else
528	ALLOCATE( q_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
529	q_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
530	q_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
531	#endif
532
533	!
534	!-- 3D-arrays needed for humidity
535	IF ( humidity ) THEN
536	#if defined( __nopointer )
537	ALLOCATE( vpt(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
538	#else
539	ALLOCATE( vpt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
540	#endif
541
542	IF ( cloud_physics ) THEN
543
544	!
545	!-- Liquid water content
546	#if defined( __nopointer )
547	ALLOCATE ( ql(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
548	#else
549	ALLOCATE ( ql_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
550	#endif
551	!
552	!-- Precipitation amount and rate (only needed if output is switched)
553	ALLOCATE( precipitation_amount(nysg:nyng,nxlg:nxrg), &
554	precipitation_rate(nysg:nyng,nxlg:nxrg) )
555
556	!
557	!-- 3D-cloud water content
558	#if defined( __nopointer )
559	ALLOCATE( qc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
560	#else
561	ALLOCATE( qc_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
562	#endif
563	!
564	!-- 3d-precipitation rate
565	ALLOCATE( prr(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
566
567	IF ( microphysics_seifert ) THEN
568	!
569	!-- 2D-rain water content and rain drop concentration arrays
570	ALLOCATE ( qrs(nysg:nyng,nxlg:nxrg), &
571	qrsws(nysg:nyng,nxlg:nxrg), &
572	qrswst(nysg:nyng,nxlg:nxrg), &
573	nrs(nysg:nyng,nxlg:nxrg), &
574	nrsws(nysg:nyng,nxlg:nxrg), &
575	nrswst(nysg:nyng,nxlg:nxrg) )
576	!
577	!-- 3D-rain water content, rain drop concentration arrays
578	#if defined( __nopointer )
579	ALLOCATE( nr(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
580	nr_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
581	qr(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
582	qr_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
583	tnr_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
584	tqr_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
585	#else
586	ALLOCATE( nr_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
587	nr_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
588	nr_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
589	qr_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
590	qr_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
591	qr_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
592	#endif
593	ENDIF
594
595	ENDIF
596
597	IF ( cloud_droplets ) THEN
598	!
599	!-- Liquid water content, change in liquid water content
600	#if defined( __nopointer )
601	ALLOCATE ( ql(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
602	ql_c(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
603	#else
604	ALLOCATE ( ql_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
605	ql_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
606	#endif
607	!
608	!-- Real volume of particles (with weighting), volume of particles
609	ALLOCATE ( ql_v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
610	ql_vp(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
611	ENDIF
612
613	ENDIF
614
615	ENDIF
616
617
618	IF ( passive_scalar ) THEN
619	!
620	!-- 2D-scalar arrays
621	ALLOCATE ( ss(nysg:nyng,nxlg:nxrg), &
622	ssws(nysg:nyng,nxlg:nxrg), &
623	sswst(nysg:nyng,nxlg:nxrg) )
624
625	!
626	!-- 3D scalar arrays
627	#if defined( __nopointer )
628	ALLOCATE( s(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
629	s_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
630	ts_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
631	#else
632	ALLOCATE( s_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
633	s_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
634	s_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
635	#endif
636	ENDIF
637
638	IF ( ocean ) THEN
639	ALLOCATE( saswsb(nysg:nyng,nxlg:nxrg), &
640	saswst(nysg:nyng,nxlg:nxrg) )
641	#if defined( __nopointer )
642	ALLOCATE( prho(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
643	rho_ocean(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
644	sa(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
645	sa_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
646	tsa_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
647	#else
648	ALLOCATE( prho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
649	rho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
650	sa_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
651	sa_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
652	sa_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
653	prho => prho_1
654	rho_ocean => rho_1 ! routines calc_mean_profile and diffusion_e require
655	! density to be apointer
656	#endif
657	IF ( humidity_remote ) THEN
658	ALLOCATE( qswst_remote(nysg:nyng,nxlg:nxrg))
659	qswst_remote = 0.0_wp
660	ENDIF
661	ENDIF
662
663	!
664	!-- Allocation of anelastic and Boussinesq approximation specific arrays
665	ALLOCATE( p_hydrostatic(nzb:nzt+1) )
666	ALLOCATE( rho_air(nzb:nzt+1) )
667	ALLOCATE( rho_air_zw(nzb:nzt+1) )
668	ALLOCATE( drho_air(nzb:nzt+1) )
669	ALLOCATE( drho_air_zw(nzb:nzt+1) )
670
671	!
672	!-- Density profile calculation for anelastic approximation
673	IF ( TRIM( approximation ) == 'anelastic' ) THEN
674	t_surface = pt_surface * ( surface_pressure / 1000.0_wp )**( r_d / cp )
675	DO k = nzb, nzt+1
676	p_hydrostatic(k) = surface_pressure * 100.0_wp * &
677	( 1 - ( g * zu(k) ) / ( cp * t_surface ) &
678	)**( cp / r_d )
679	rho_air(k) = ( p_hydrostatic(k) * &
680	( 100000.0_wp / p_hydrostatic(k) &
681	)**( r_d / cp ) &
682	) / ( r_d * pt_init(k) )
683	ENDDO
684	DO k = nzb, nzt
685	rho_air_zw(k) = 0.5_wp * ( rho_air(k) + rho_air(k+1) )
686	ENDDO
687	rho_air_zw(nzt+1) = rho_air_zw(nzt) &
688	+ 2.0_wp * ( rho_air(nzt+1) - rho_air_zw(nzt) )
689	ELSE
690	rho_air = 1.0_wp
691	rho_air_zw = 1.0_wp
692	ENDIF
693
694	!-- compute the inverse density array in order to avoid expencive divisions
695	drho_air = 1.0_wp / rho_air
696	drho_air_zw = 1.0_wp / rho_air_zw
697
698	!
699	!-- Allocation of flux conversion arrays
700	ALLOCATE( heatflux_input_conversion(nzb:nzt+1) )
701	ALLOCATE( waterflux_input_conversion(nzb:nzt+1) )
702	ALLOCATE( momentumflux_input_conversion(nzb:nzt+1) )
703	ALLOCATE( heatflux_output_conversion(nzb:nzt+1) )
704	ALLOCATE( waterflux_output_conversion(nzb:nzt+1) )
705	ALLOCATE( momentumflux_output_conversion(nzb:nzt+1) )
706
707	!
708	!-- calculate flux conversion factors according to approximation and in-/output mode
709	DO k = nzb, nzt+1
710
711	IF ( TRIM( flux_input_mode ) == 'kinematic' ) THEN
712	heatflux_input_conversion(k) = rho_air_zw(k)
713	waterflux_input_conversion(k) = rho_air_zw(k)
714	momentumflux_input_conversion(k) = rho_air_zw(k)
715	ELSEIF ( TRIM( flux_input_mode ) == 'dynamic' ) THEN
716	heatflux_input_conversion(k) = 1.0_wp / cp
717	waterflux_input_conversion(k) = 1.0_wp / l_v
718	momentumflux_input_conversion(k) = 1.0_wp
719	ENDIF
720
721	IF ( TRIM( flux_output_mode ) == 'kinematic' ) THEN
722	heatflux_output_conversion(k) = drho_air_zw(k)
723	waterflux_output_conversion(k) = drho_air_zw(k)
724	momentumflux_output_conversion(k) = drho_air_zw(k)
725	ELSEIF ( TRIM( flux_output_mode ) == 'dynamic' ) THEN
726	heatflux_output_conversion(k) = cp
727	waterflux_output_conversion(k) = l_v
728	momentumflux_output_conversion(k) = 1.0_wp
729	ENDIF
730
731	IF ( .NOT. humidity ) THEN
732	waterflux_input_conversion(k) = 1.0_wp
733	waterflux_output_conversion(k) = 1.0_wp
734	ENDIF
735
736	ENDDO
737
738	!
739	!-- In case of multigrid method, compute grid lengths and grid factors for the
740	!-- grid levels with respective density on each grid
741	IF ( psolver(1:9) == 'multigrid' ) THEN
742
743	ALLOCATE( ddx2_mg(maximum_grid_level) )
744	ALLOCATE( ddy2_mg(maximum_grid_level) )
745	ALLOCATE( dzu_mg(nzb+1:nzt+1,maximum_grid_level) )
746	ALLOCATE( dzw_mg(nzb+1:nzt+1,maximum_grid_level) )
747	ALLOCATE( f1_mg(nzb+1:nzt,maximum_grid_level) )
748	ALLOCATE( f2_mg(nzb+1:nzt,maximum_grid_level) )
749	ALLOCATE( f3_mg(nzb+1:nzt,maximum_grid_level) )
750	ALLOCATE( rho_air_mg(nzb:nzt+1,maximum_grid_level) )
751	ALLOCATE( rho_air_zw_mg(nzb:nzt+1,maximum_grid_level) )
752
753	dzu_mg(:,maximum_grid_level) = dzu
754	rho_air_mg(:,maximum_grid_level) = rho_air
755	!
756	!-- Next line to ensure an equally spaced grid.
757	dzu_mg(1,maximum_grid_level) = dzu(2)
758	rho_air_mg(nzb,maximum_grid_level) = rho_air(nzb) + &
759	(rho_air(nzb) - rho_air(nzb+1))
760
761	dzw_mg(:,maximum_grid_level) = dzw
762	rho_air_zw_mg(:,maximum_grid_level) = rho_air_zw
763	nzt_l = nzt
764	DO l = maximum_grid_level-1, 1, -1
765	dzu_mg(nzb+1,l) = 2.0_wp * dzu_mg(nzb+1,l+1)
766	dzw_mg(nzb+1,l) = 2.0_wp * dzw_mg(nzb+1,l+1)
767	rho_air_mg(nzb,l) = rho_air_mg(nzb,l+1) + (rho_air_mg(nzb,l+1) - rho_air_mg(nzb+1,l+1))
768	rho_air_zw_mg(nzb,l) = rho_air_zw_mg(nzb,l+1) + (rho_air_zw_mg(nzb,l+1) - rho_air_zw_mg(nzb+1,l+1))
769	rho_air_mg(nzb+1,l) = rho_air_mg(nzb+1,l+1)
770	rho_air_zw_mg(nzb+1,l) = rho_air_zw_mg(nzb+1,l+1)
771	nzt_l = nzt_l / 2
772	DO k = 2, nzt_l+1
773	dzu_mg(k,l) = dzu_mg(2k-2,l+1) + dzu_mg(2k-1,l+1)
774	dzw_mg(k,l) = dzw_mg(2k-2,l+1) + dzw_mg(2k-1,l+1)
775	rho_air_mg(k,l) = rho_air_mg(2*k-1,l+1)
776	rho_air_zw_mg(k,l) = rho_air_zw_mg(2*k-1,l+1)
777	ENDDO
778	ENDDO
779
780	nzt_l = nzt
781	dx_l = dx
782	dy_l = dy
783	DO l = maximum_grid_level, 1, -1
784	ddx2_mg(l) = 1.0_wp / dx_l**2
785	ddy2_mg(l) = 1.0_wp / dy_l**2
786	DO k = nzb+1, nzt_l
787	f2_mg(k,l) = rho_air_zw_mg(k,l) / ( dzu_mg(k+1,l) * dzw_mg(k,l) )
788	f3_mg(k,l) = rho_air_zw_mg(k-1,l) / ( dzu_mg(k,l) * dzw_mg(k,l) )
789	f1_mg(k,l) = 2.0_wp * ( ddx2_mg(l) + ddy2_mg(l) ) &
790	* rho_air_mg(k,l) + f2_mg(k,l) + f3_mg(k,l)
791	ENDDO
792	nzt_l = nzt_l / 2
793	dx_l = dx_l * 2.0_wp
794	dy_l = dy_l * 2.0_wp
795	ENDDO
796
797	ENDIF
798
799	!
800	!-- 3D-array for storing the dissipation, needed for calculating the sgs
801	!-- particle velocities
802	IF ( use_sgs_for_particles .OR. wang_kernel .OR. collision_turbulence &
803	.OR. num_acc_per_node > 0 ) THEN
804	ALLOCATE( diss(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
805	ENDIF
806
807	!
808	!-- 1D-array for large scale subsidence velocity
809	IF ( .NOT. ALLOCATED( w_subs ) ) THEN
810	ALLOCATE ( w_subs(nzb:nzt+1) )
811	w_subs = 0.0_wp
812	ENDIF
813
814	!
815	!-- ID-array and state-space-array for the parallel random number generator
816	IF ( random_generator == 'random-parallel' ) THEN
817	ALLOCATE ( seq_random_array(5,nysg:nyng,nxlg:nxrg) )
818	ALLOCATE ( id_random_array(0:ny,0:nx) )
819	seq_random_array = 0
820	id_random_array = 0
821	ENDIF
822
823	!
824	!-- 4D-array for storing the Rif-values at vertical walls
825	IF ( topography /= 'flat' ) THEN
826	ALLOCATE( rif_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg,1:4) )
827	rif_wall = 0.0_wp
828	ENDIF
829
830	!
831	!-- Arrays to store velocity data from t-dt and the phase speeds which
832	!-- are needed for radiation boundary conditions
833	IF ( outflow_l ) THEN
834	ALLOCATE( u_m_l(nzb:nzt+1,nysg:nyng,1:2), &
835	v_m_l(nzb:nzt+1,nysg:nyng,0:1), &
836	w_m_l(nzb:nzt+1,nysg:nyng,0:1) )
837	ENDIF
838	IF ( outflow_r ) THEN
839	ALLOCATE( u_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
840	v_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
841	w_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx) )
842	ENDIF
843	IF ( outflow_l .OR. outflow_r ) THEN
844	ALLOCATE( c_u(nzb:nzt+1,nysg:nyng), c_v(nzb:nzt+1,nysg:nyng), &
845	c_w(nzb:nzt+1,nysg:nyng) )
846	ENDIF
847	IF ( outflow_s ) THEN
848	ALLOCATE( u_m_s(nzb:nzt+1,0:1,nxlg:nxrg), &
849	v_m_s(nzb:nzt+1,1:2,nxlg:nxrg), &
850	w_m_s(nzb:nzt+1,0:1,nxlg:nxrg) )
851	ENDIF
852	IF ( outflow_n ) THEN
853	ALLOCATE( u_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
854	v_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
855	w_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg) )
856	ENDIF
857	IF ( outflow_s .OR. outflow_n ) THEN
858	ALLOCATE( c_u(nzb:nzt+1,nxlg:nxrg), c_v(nzb:nzt+1,nxlg:nxrg), &
859	c_w(nzb:nzt+1,nxlg:nxrg) )
860	ENDIF
861	IF ( outflow_l .OR. outflow_r .OR. outflow_s .OR. outflow_n ) THEN
862	ALLOCATE( c_u_m_l(nzb:nzt+1), c_v_m_l(nzb:nzt+1), c_w_m_l(nzb:nzt+1) )
863	ALLOCATE( c_u_m(nzb:nzt+1), c_v_m(nzb:nzt+1), c_w_m(nzb:nzt+1) )
864	ENDIF
865
866
867	#if ! defined( __nopointer )
868	!
869	!-- Initial assignment of the pointers
870	e => e_1; e_p => e_2; te_m => e_3
871	IF ( .NOT. neutral ) THEN
872	pt => pt_1; pt_p => pt_2; tpt_m => pt_3
873	ELSE
874	pt => pt_1; pt_p => pt_1; tpt_m => pt_3
875	ENDIF
876	u => u_1; u_p => u_2; tu_m => u_3
877	v => v_1; v_p => v_2; tv_m => v_3
878	w => w_1; w_p => w_2; tw_m => w_3
879
880	IF ( humidity ) THEN
881	q => q_1; q_p => q_2; tq_m => q_3
882	IF ( humidity ) THEN
883	vpt => vpt_1
884	IF ( cloud_physics ) THEN
885	ql => ql_1
886	qc => qc_1
887	IF ( microphysics_seifert ) THEN
888	qr => qr_1; qr_p => qr_2; tqr_m => qr_3
889	nr => nr_1; nr_p => nr_2; tnr_m => nr_3
890	ENDIF
891	ENDIF
892	ENDIF
893	IF ( cloud_droplets ) THEN
894	ql => ql_1
895	ql_c => ql_2
896	ENDIF
897	ENDIF
898
899	IF ( passive_scalar ) THEN
900	s => s_1; s_p => s_2; ts_m => s_3
901	ENDIF
902
903	IF ( ocean ) THEN
904	sa => sa_1; sa_p => sa_2; tsa_m => sa_3
905	ENDIF
906	#endif
907
908	!
909	!-- Allocate land surface model arrays
910	IF ( land_surface ) THEN
911	CALL lsm_init_arrays
912	ENDIF
913
914	!
915	!-- Allocate wind turbine model arrays
916	IF ( wind_turbine ) THEN
917	CALL wtm_init_arrays
918	ENDIF
919
920	!
921	!-- Initialize virtual flight measurements
922	IF ( virtual_flight ) THEN
923	CALL flight_init
924	ENDIF
925
926	!
927	!-- Allocate arrays containing the RK coefficient for calculation of
928	!-- perturbation pressure and turbulent fluxes. At this point values are
929	!-- set for pressure calculation during initialization (where no timestep
930	!-- is done). Further below the values needed within the timestep scheme
931	!-- will be set.
932	ALLOCATE( weight_substep(1:intermediate_timestep_count_max), &
933	weight_pres(1:intermediate_timestep_count_max) )
934	weight_substep = 1.0_wp
935	weight_pres = 1.0_wp
936	intermediate_timestep_count = 0 ! needed when simulated_time = 0.0
937
938	CALL location_message( 'finished', .TRUE. )
939
940	!
941	!-- Initialize local summation arrays for routine flow_statistics.
942	!-- This is necessary because they may not yet have been initialized when they
943	!-- are called from flow_statistics (or - depending on the chosen model run -
944	!-- are never initialized)
945	sums_divnew_l = 0.0_wp
946	sums_divold_l = 0.0_wp
947	sums_l_l = 0.0_wp
948	sums_up_fraction_l = 0.0_wp
949	sums_wsts_bc_l = 0.0_wp
950
951
952	!
953	!-- Initialize model variables
954	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
955	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
956	!
957	!-- First model run of a possible job queue.
958	!-- Initial profiles of the variables must be computes.
959	IF ( INDEX( initializing_actions, 'set_1d-model_profiles' ) /= 0 ) THEN
960
961	CALL location_message( 'initializing with 1D model profiles', .FALSE. )
962	!
963	!-- Use solutions of the 1D model as initial profiles,
964	!-- start 1D model
965	CALL init_1d_model
966	!
967	!-- Transfer initial profiles to the arrays of the 3D model
968	DO i = nxlg, nxrg
969	DO j = nysg, nyng
970	e(:,j,i) = e1d
971	kh(:,j,i) = kh1d
972	km(:,j,i) = km1d
973	pt(:,j,i) = pt_init
974	u(:,j,i) = u1d
975	v(:,j,i) = v1d
976	ENDDO
977	ENDDO
978
979	IF ( humidity ) THEN
980	DO i = nxlg, nxrg
981	DO j = nysg, nyng
982	q(:,j,i) = q_init
983	ENDDO
984	ENDDO
985	IF ( cloud_physics .AND. microphysics_seifert ) THEN
986	DO i = nxlg, nxrg
987	DO j = nysg, nyng
988	qr(:,j,i) = 0.0_wp
989	nr(:,j,i) = 0.0_wp
990	ENDDO
991	ENDDO
992
993	ENDIF
994	ENDIF
995	IF ( passive_scalar ) THEN
996	DO i = nxlg, nxrg
997	DO j = nysg, nyng
998	s(:,j,i) = s_init
999	ENDDO
1000	ENDDO
1001	ENDIF
1002
1003	IF ( .NOT. constant_diffusion ) THEN
1004	DO i = nxlg, nxrg
1005	DO j = nysg, nyng
1006	e(:,j,i) = e1d
1007	ENDDO
1008	ENDDO
1009	!
1010	!-- Store initial profiles for output purposes etc.
1011	hom(:,1,25,:) = SPREAD( l1d, 2, statistic_regions+1 )
1012
1013	IF ( constant_flux_layer ) THEN
1014	ol = ( zu(nzb+1) - zw(nzb) ) / ( rif1d(nzb+1) + 1.0E-20_wp )
1015	ts = 0.0_wp ! could actually be computed more accurately in the
1016	! 1D model. Update when opportunity arises.
1017	us = us1d
1018	usws = usws1d
1019	vsws = vsws1d
1020	ELSE
1021	ts = 0.0_wp ! must be set, because used in
1022	ol = ( zu(nzb+1) - zw(nzb) ) / zeta_min ! flowste
1023	us = 0.0_wp
1024	usws = 0.0_wp
1025	vsws = 0.0_wp
1026	ENDIF
1027
1028	ELSE
1029	e = 0.0_wp ! must be set, because used in
1030	ol = ( zu(nzb+1) - zw(nzb) ) / zeta_min ! flowste
1031	ts = 0.0_wp
1032	us = 0.0_wp
1033	usws = 0.0_wp
1034	vsws = 0.0_wp
1035	ENDIF
1036	uswst = top_momentumflux_u * momentumflux_input_conversion(nzt+1)
1037	vswst = top_momentumflux_v * momentumflux_input_conversion(nzt+1)
1038
1039	!
1040	!-- In every case qs = 0.0 (see also pt)
1041	!-- This could actually be computed more accurately in the 1D model.
1042	!-- Update when opportunity arises!
1043	IF ( humidity ) THEN
1044	qs = 0.0_wp
1045	IF ( cloud_physics .AND. microphysics_seifert ) THEN
1046	qrs = 0.0_wp
1047	nrs = 0.0_wp
1048	ENDIF
1049	ENDIF
1050	!
1051	!-- Initialize scaling parameter for passive scalar
1052	IF ( passive_scalar ) ss = 0.0_wp
1053
1054	!
1055	!-- Inside buildings set velocities back to zero
1056	IF ( topography /= 'flat' ) THEN
1057	DO i = nxlg, nxrg
1058	DO j = nysg, nyng
1059	u(nzb:nzb_u_inner(j,i),j,i) = 0.0_wp
1060	v(nzb:nzb_v_inner(j,i),j,i) = 0.0_wp
1061	ENDDO
1062	ENDDO
1063
1064	!
1065	!-- WARNING: The extra boundary conditions set after running the
1066	!-- ------- 1D model impose an error on the divergence one layer
1067	!-- below the topography; need to correct later
1068	!-- ATTENTION: Provisional correction for Piacsek & Williams
1069	!-- --------- advection scheme: keep u and v zero one layer below
1070	!-- the topography.
1071	IF ( ibc_uv_b == 1 ) THEN
1072	!
1073	!-- Neumann condition
1074	DO i = nxl-1, nxr+1
1075	DO j = nys-1, nyn+1
1076	IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = u(1,j,i)
1077	IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = v(1,j,i)
1078	ENDDO
1079	ENDDO
1080
1081	ENDIF
1082
1083	ENDIF
1084
1085	CALL location_message( 'finished', .TRUE. )
1086
1087	ELSEIF ( INDEX(initializing_actions, 'set_constant_profiles') /= 0 ) &
1088	THEN
1089
1090	CALL location_message( 'initializing with constant profiles', .FALSE. )
1091	!
1092	!-- Overwrite initial profiles in case of nudging
1093	IF ( nudging ) THEN
1094	pt_init = ptnudge(:,1)
1095	u_init = unudge(:,1)
1096	v_init = vnudge(:,1)
1097	IF ( humidity ) THEN ! is passive_scalar correct???
1098	q_init = qnudge(:,1)
1099	ENDIF
1100
1101	WRITE( message_string, * ) 'Initial profiles of u, v and ', &
1102	'scalars from NUDGING_DATA are used.'
1103	CALL message( 'init_3d_model', 'PA0370', 0, 0, 0, 6, 0 )
1104	ENDIF
1105
1106	!
1107	!-- Use constructed initial profiles (velocity constant with height,
1108	!-- temperature profile with constant gradient)
1109	DO i = nxlg, nxrg
1110	DO j = nysg, nyng
1111	pt(:,j,i) = pt_init
1112	u(:,j,i) = u_init
1113	v(:,j,i) = v_init
1114	ENDDO
1115	ENDDO
1116
1117	!
1118	!-- Set initial horizontal velocities at the lowest computational grid
1119	!-- levels to zero in order to avoid too small time steps caused by the
1120	!-- diffusion limit in the initial phase of a run (at k=1, dz/2 occurs
1121	!-- in the limiting formula!).
1122	IF ( ibc_uv_b /= 1 ) THEN
1123	DO i = nxlg, nxrg
1124	DO j = nysg, nyng
1125	u(nzb:nzb_u_inner(j,i)+1,j,i) = 0.0_wp
1126	v(nzb:nzb_v_inner(j,i)+1,j,i) = 0.0_wp
1127	ENDDO
1128	ENDDO
1129	ENDIF
1130
1131	IF ( humidity ) THEN
1132	DO i = nxlg, nxrg
1133	DO j = nysg, nyng
1134	q(:,j,i) = q_init
1135	ENDDO
1136	ENDDO
1137	IF ( cloud_physics .AND. microphysics_seifert ) THEN
1138
1139	DO i = nxlg, nxrg
1140	DO j = nysg, nyng
1141	qr(:,j,i) = 0.0_wp
1142	nr(:,j,i) = 0.0_wp
1143	ENDDO
1144	ENDDO
1145
1146	ENDIF
1147	ENDIF
1148
1149	IF ( passive_scalar ) THEN
1150	DO i = nxlg, nxrg
1151	DO j = nysg, nyng
1152	s(:,j,i) = s_init
1153	ENDDO
1154	ENDDO
1155	ENDIF
1156
1157	IF ( ocean ) THEN
1158	DO i = nxlg, nxrg
1159	DO j = nysg, nyng
1160	sa(:,j,i) = sa_init
1161	ENDDO
1162	ENDDO
1163	ENDIF
1164
1165	IF ( constant_diffusion ) THEN
1166	km = km_constant
1167	kh = km / prandtl_number
1168	e = 0.0_wp
1169	ELSEIF ( e_init > 0.0_wp ) THEN
1170	DO k = nzb+1, nzt
1171	km(k,:,:) = 0.1_wp * l_grid(k) * SQRT( e_init )
1172	ENDDO
1173	km(nzb,:,:) = km(nzb+1,:,:)
1174	km(nzt+1,:,:) = km(nzt,:,:)
1175	kh = km / prandtl_number
1176	e = e_init
1177	ELSE
1178	IF ( .NOT. ocean ) THEN
1179	kh = 0.01_wp ! there must exist an initial diffusion, because
1180	km = 0.01_wp ! otherwise no TKE would be produced by the
1181	! production terms, as long as not yet
1182	! e = (u/cm)*2 at k=nzb+1
1183	ELSE
1184	kh = 0.00001_wp
1185	km = 0.00001_wp
1186	ENDIF
1187	e = 0.0_wp
1188	ENDIF
1189	ol = ( zu(nzb+1) - zw(nzb) ) / zeta_min
1190	ts = 0.0_wp
1191	!
1192	!-- Very small number is required for calculation of Obukhov length
1193	!-- at first timestep
1194	us = 1E-30_wp
1195	usws = 0.0_wp
1196	uswst = top_momentumflux_u * momentumflux_input_conversion(nzt+1)
1197	vsws = 0.0_wp
1198	vswst = top_momentumflux_v * momentumflux_input_conversion(nzt+1)
1199	IF ( humidity ) qs = 0.0_wp
1200	IF ( passive_scalar ) ss = 0.0_wp
1201
1202	!
1203	!-- Compute initial temperature field and other constants used in case
1204	!-- of a sloping surface
1205	IF ( sloping_surface ) CALL init_slope
1206
1207	CALL location_message( 'finished', .TRUE. )
1208
1209	ELSEIF ( INDEX(initializing_actions, 'by_user') /= 0 ) &
1210	THEN
1211
1212	CALL location_message( 'initializing by user', .FALSE. )
1213	!
1214	!-- Initialization will completely be done by the user
1215	CALL user_init_3d_model
1216
1217	CALL location_message( 'finished', .TRUE. )
1218
1219	ENDIF
1220
1221	CALL location_message( 'initializing statistics, boundary conditions, etc.', &
1222	.FALSE. )
1223
1224	!
1225	!-- Bottom boundary
1226	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
1227	u(nzb,:,:) = 0.0_wp
1228	v(nzb,:,:) = 0.0_wp
1229	ENDIF
1230
1231	!
1232	!-- Apply channel flow boundary condition
1233	IF ( TRIM( bc_uv_t ) == 'dirichlet_0' ) THEN
1234	u(nzt+1,:,:) = 0.0_wp
1235	v(nzt+1,:,:) = 0.0_wp
1236	ENDIF
1237
1238	!
1239	!-- Calculate virtual potential temperature
1240	IF ( humidity ) vpt = pt * ( 1.0_wp + 0.61_wp * q )
1241
1242	!
1243	!-- Store initial profiles for output purposes etc.
1244	hom(:,1,5,:) = SPREAD( u(:,nys,nxl), 2, statistic_regions+1 )
1245	hom(:,1,6,:) = SPREAD( v(:,nys,nxl), 2, statistic_regions+1 )
1246	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2) THEN
1247	hom(nzb,1,5,:) = 0.0_wp
1248	hom(nzb,1,6,:) = 0.0_wp
1249	ENDIF
1250	hom(:,1,7,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
1251	hom(:,1,23,:) = SPREAD( km(:,nys,nxl), 2, statistic_regions+1 )
1252	hom(:,1,24,:) = SPREAD( kh(:,nys,nxl), 2, statistic_regions+1 )
1253
1254	IF ( ocean ) THEN
1255	!
1256	!-- Store initial salinity profile
1257	hom(:,1,26,:) = SPREAD( sa(:,nys,nxl), 2, statistic_regions+1 )
1258	ENDIF
1259
1260	IF ( humidity ) THEN
1261	!
1262	!-- Store initial profile of total water content, virtual potential
1263	!-- temperature
1264	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
1265	hom(:,1,29,:) = SPREAD( vpt(:,nys,nxl), 2, statistic_regions+1 )
1266	IF ( cloud_physics .OR. cloud_droplets ) THEN
1267	!
1268	!-- Store initial profile of specific humidity and potential
1269	!-- temperature
1270	hom(:,1,27,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
1271	hom(:,1,28,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
1272	ENDIF
1273	ENDIF
1274
1275	IF ( passive_scalar ) THEN
1276	!
1277	!-- Store initial scalar profile
1278	hom(:,1,115,:) = SPREAD( s(:,nys,nxl), 2, statistic_regions+1 )
1279	ENDIF
1280
1281	!
1282	!-- Initialize the random number generators (from numerical recipes)
1283	CALL random_function_ini
1284
1285	IF ( random_generator == 'random-parallel' ) THEN
1286	!-- Asigning an ID to every vertical gridpoint column
1287	!-- dependig on the ensemble run number.
1288	random_dummy=1
1289	DO j=0,ny
1290	DO i=0,nx
1291	id_random_array(j,i) = random_dummy + 1E6 &
1292	* ( ensemble_member_nr - 1000 )
1293	random_dummy = random_dummy + 1
1294	END DO
1295	ENDDO
1296	!-- Initializing with random_seed_parallel for every vertical
1297	!-- gridpoint column.
1298	random_dummy=0
1299	DO j = nysg, nyng
1300	DO i = nxlg, nxrg
1301	CALL random_seed_parallel (random_sequence=id_random_array(j, i))
1302	CALL random_number_parallel (random_dummy)
1303	CALL random_seed_parallel (get=seq_random_array(:, j, i))
1304	END DO
1305	ENDDO
1306	ENDIF
1307
1308	!
1309	!-- Initialize fluxes at bottom surface
1310	IF ( use_surface_fluxes ) THEN
1311
1312	IF ( constant_heatflux ) THEN
1313	!
1314	!-- Heat flux is prescribed
1315	IF ( random_heatflux ) THEN
1316	CALL disturb_heatflux
1317	ELSE
1318	shf = surface_heatflux * heatflux_input_conversion(nzb)
1319	!
1320	!-- Initialize shf with data from external file LSF_DATA
1321	IF ( large_scale_forcing .AND. lsf_surf ) THEN
1322	CALL ls_forcing_surf ( simulated_time )
1323	ENDIF
1324
1325	!
1326	!-- Over topography surface_heatflux is replaced by wall_heatflux(0)
1327	IF ( TRIM( topography ) /= 'flat' ) THEN
1328	DO i = nxlg, nxrg
1329	DO j = nysg, nyng
1330	IF ( nzb_s_inner(j,i) /= 0 ) THEN
1331	shf(j,i) = wall_heatflux(0) &
1332	* heatflux_input_conversion(nzb_s_inner(j,i))
1333	ENDIF
1334	ENDDO
1335	ENDDO
1336	ENDIF
1337	ENDIF
1338	ENDIF
1339
1340	!
1341	!-- Determine the near-surface water flux
1342	IF ( humidity ) THEN
1343	IF ( cloud_physics .AND. microphysics_seifert ) THEN
1344	qrsws = 0.0_wp
1345	nrsws = 0.0_wp
1346	ENDIF
1347	IF ( constant_waterflux ) THEN
1348	qsws = surface_waterflux * waterflux_input_conversion(nzb)
1349	!
1350	!-- Over topography surface_waterflux is replaced by
1351	!-- wall_humidityflux(0)
1352	IF ( TRIM( topography ) /= 'flat' ) THEN
1353	wall_qflux = wall_humidityflux
1354	DO i = nxlg, nxrg
1355	DO j = nysg, nyng
1356	IF ( nzb_s_inner(j,i) /= 0 ) THEN
1357	qsws(j,i) = wall_qflux(0) &
1358	* waterflux_input_conversion(nzb_s_inner(j,i))
1359	ENDIF
1360	ENDDO
1361	ENDDO
1362	ENDIF
1363	ENDIF
1364	ENDIF
1365	!
1366	!-- Initialize the near-surface scalar flux
1367	IF ( passive_scalar ) THEN
1368	IF ( constant_scalarflux ) THEN
1369	ssws = surface_scalarflux
1370	!
1371	!-- Over topography surface_scalarflux is replaced by
1372	!-- wall_scalarflux(0)
1373	IF ( TRIM( topography ) /= 'flat' ) THEN
1374	wall_sflux = wall_scalarflux
1375	DO i = nxlg, nxrg
1376	DO j = nysg, nyng
1377	IF ( nzb_s_inner(j,i) /= 0 ) ssws(j,i) = wall_sflux(0)
1378	ENDDO
1379	ENDDO
1380	ENDIF
1381	ENDIF
1382	ENDIF
1383	!
1384	!-- Initialize near-surface salinity flux
1385	IF ( ocean ) saswsb = bottom_salinityflux
1386
1387	ENDIF
1388
1389	!
1390	!-- Initialize fluxes at top surface
1391	!-- Currently, only the heatflux and salinity flux can be prescribed.
1392	!-- The latent flux is zero in this case!
1393	IF ( use_top_fluxes ) THEN
1394	!
1395	!-- Prescribe to heat flux
1396	IF ( constant_top_heatflux ) tswst = top_heatflux &
1397	* heatflux_input_conversion(nzt+1)
1398	!
1399	!-- Prescribe zero latent flux at the top
1400	IF ( humidity ) THEN
1401	qswst = 0.0_wp
1402	IF ( cloud_physics .AND. microphysics_seifert ) THEN
1403	nrswst = 0.0_wp
1404	qrswst = 0.0_wp
1405	ENDIF
1406	ENDIF
1407	!
1408	!-- Prescribe top scalar flux
1409	IF ( passive_scalar .AND. constant_top_scalarflux ) &
1410	sswst = top_scalarflux
1411	!
1412	!-- Prescribe top salinity flux
1413	IF ( ocean .AND. constant_top_salinityflux) &
1414	saswst = top_salinityflux
1415	!
1416	!-- Initialization in case of a coupled model run
1417	IF ( coupling_mode == 'ocean_to_atmosphere' ) THEN
1418	tswst = 0.0_wp
1419	ENDIF
1420
1421	ENDIF
1422
1423	!
1424	!-- Initialize Prandtl layer quantities
1425	IF ( constant_flux_layer ) THEN
1426
1427	z0 = roughness_length
1428	z0h = z0h_factor * z0
1429	z0q = z0h_factor * z0
1430
1431	IF ( .NOT. constant_heatflux ) THEN
1432	!
1433	!-- Surface temperature is prescribed. Here the heat flux cannot be
1434	!-- simply estimated, because therefore ol, u* and theta* would have
1435	!-- to be computed by iteration. This is why the heat flux is assumed
1436	!-- to be zero before the first time step. It approaches its correct
1437	!-- value in the course of the first few time steps.
1438	shf = 0.0_wp
1439	ENDIF
1440
1441	IF ( humidity ) THEN
1442	IF ( .NOT. constant_waterflux ) qsws = 0.0_wp
1443	IF ( cloud_physics .AND. microphysics_seifert ) THEN
1444	qrsws = 0.0_wp
1445	nrsws = 0.0_wp
1446	ENDIF
1447	ENDIF
1448	IF ( passive_scalar .AND. .NOT. constant_scalarflux ) ssws = 0.0_wp
1449
1450	ENDIF
1451
1452	!
1453	!-- Set the reference state to be used in the buoyancy terms (for ocean runs
1454	!-- the reference state will be set (overwritten) in init_ocean)
1455	IF ( use_single_reference_value ) THEN
1456	IF ( .NOT. humidity ) THEN
1457	ref_state(:) = pt_reference
1458	ELSE
1459	ref_state(:) = vpt_reference
1460	ENDIF
1461	ELSE
1462	IF ( .NOT. humidity ) THEN
1463	ref_state(:) = pt_init(:)
1464	ELSE
1465	ref_state(:) = vpt(:,nys,nxl)
1466	ENDIF
1467	ENDIF
1468
1469	!
1470	!-- For the moment, vertical velocity is zero
1471	w = 0.0_wp
1472
1473	!
1474	!-- Initialize array sums (must be defined in first call of pres)
1475	sums = 0.0_wp
1476
1477	!
1478	!-- In case of iterative solvers, p must get an initial value
1479	IF ( psolver(1:9) == 'multigrid' .OR. psolver == 'sor' ) p = 0.0_wp
1480
1481	!
1482	!-- Treating cloud physics, liquid water content and precipitation amount
1483	!-- are zero at beginning of the simulation
1484	IF ( cloud_physics ) THEN
1485	ql = 0.0_wp
1486	qc = 0.0_wp
1487
1488	precipitation_amount = 0.0_wp
1489	ENDIF
1490	!
1491	!-- Impose vortex with vertical axis on the initial velocity profile
1492	IF ( INDEX( initializing_actions, 'initialize_vortex' ) /= 0 ) THEN
1493	CALL init_rankine
1494	ENDIF
1495
1496	!
1497	!-- Impose temperature anomaly (advection test only)
1498	IF ( INDEX( initializing_actions, 'initialize_ptanom' ) /= 0 ) THEN
1499	CALL init_pt_anomaly
1500	ENDIF
1501
1502	!
1503	!-- If required, change the surface temperature at the start of the 3D run
1504	IF ( pt_surface_initial_change /= 0.0_wp ) THEN
1505	pt(nzb,:,:) = pt(nzb,:,:) + pt_surface_initial_change
1506	ENDIF
1507
1508	!
1509	!-- If required, change the surface humidity/scalar at the start of the 3D
1510	!-- run
1511	IF ( humidity .AND. q_surface_initial_change /= 0.0_wp ) &
1512	q(nzb,:,:) = q(nzb,:,:) + q_surface_initial_change
1513
1514	IF ( passive_scalar .AND. s_surface_initial_change /= 0.0_wp ) &
1515	s(nzb,:,:) = s(nzb,:,:) + s_surface_initial_change
1516
1517
1518	!
1519	!-- Initialize old and new time levels.
1520	te_m = 0.0_wp; tpt_m = 0.0_wp; tu_m = 0.0_wp; tv_m = 0.0_wp; tw_m = 0.0_wp
1521	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
1522
1523	IF ( humidity ) THEN
1524	tq_m = 0.0_wp
1525	q_p = q
1526	IF ( cloud_physics .AND. microphysics_seifert ) THEN
1527	tqr_m = 0.0_wp
1528	qr_p = qr
1529	tnr_m = 0.0_wp
1530	nr_p = nr
1531	ENDIF
1532	ENDIF
1533
1534	IF ( passive_scalar ) THEN
1535	ts_m = 0.0_wp
1536	s_p = s
1537	ENDIF
1538
1539	IF ( ocean ) THEN
1540	tsa_m = 0.0_wp
1541	sa_p = sa
1542	ENDIF
1543
1544	CALL location_message( 'finished', .TRUE. )
1545
1546	ELSEIF ( TRIM( initializing_actions ) == 'read_restart_data' .OR. &
1547	TRIM( initializing_actions ) == 'cyclic_fill' ) &
1548	THEN
1549
1550	CALL location_message( 'initializing in case of restart / cyclic_fill', &
1551	.FALSE. )
1552	!
1553	!-- When reading data for cyclic fill of 3D prerun data files, read
1554	!-- some of the global variables from the restart file which are required
1555	!-- for initializing the inflow
1556	IF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
1557
1558	DO i = 0, io_blocks-1
1559	IF ( i == io_group ) THEN
1560	CALL read_parts_of_var_list
1561	CALL close_file( 13 )
1562	ENDIF
1563	#if defined( __parallel )
1564	CALL MPI_BARRIER( comm2d, ierr )
1565	#endif
1566	ENDDO
1567
1568	ENDIF
1569
1570	!
1571	!-- Read binary data from restart file
1572	DO i = 0, io_blocks-1
1573	IF ( i == io_group ) THEN
1574	CALL read_3d_binary
1575	ENDIF
1576	#if defined( __parallel )
1577	CALL MPI_BARRIER( comm2d, ierr )
1578	#endif
1579	ENDDO
1580
1581	!
1582	!-- Initialization of the turbulence recycling method
1583	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. &
1584	turbulent_inflow ) THEN
1585	!
1586	!-- First store the profiles to be used at the inflow.
1587	!-- These profiles are the (temporally) and horizontally averaged vertical
1588	!-- profiles from the prerun. Alternatively, prescribed profiles
1589	!-- for u,v-components can be used.
1590	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,7) )
1591
1592	IF ( use_prescribed_profile_data ) THEN
1593	mean_inflow_profiles(:,1) = u_init ! u
1594	mean_inflow_profiles(:,2) = v_init ! v
1595	ELSE
1596	mean_inflow_profiles(:,1) = hom_sum(:,1,0) ! u
1597	mean_inflow_profiles(:,2) = hom_sum(:,2,0) ! v
1598	ENDIF
1599	mean_inflow_profiles(:,4) = hom_sum(:,4,0) ! pt
1600	mean_inflow_profiles(:,5) = hom_sum(:,8,0) ! e
1601	IF ( humidity ) &
1602	mean_inflow_profiles(:,6) = hom_sum(:,41,0) ! q
1603	IF ( passive_scalar ) &
1604	mean_inflow_profiles(:,7) = hom_sum(:,115,0) ! s
1605
1606	!
1607	!-- If necessary, adjust the horizontal flow field to the prescribed
1608	!-- profiles
1609	IF ( use_prescribed_profile_data ) THEN
1610	DO i = nxlg, nxrg
1611	DO j = nysg, nyng
1612	DO k = nzb, nzt+1
1613	u(k,j,i) = u(k,j,i) - hom_sum(k,1,0) + u_init(k)
1614	v(k,j,i) = v(k,j,i) - hom_sum(k,2,0) + v_init(k)
1615	ENDDO
1616	ENDDO
1617	ENDDO
1618	ENDIF
1619
1620	!
1621	!-- Use these mean profiles at the inflow (provided that Dirichlet
1622	!-- conditions are used)
1623	IF ( inflow_l ) THEN
1624	DO j = nysg, nyng
1625	DO k = nzb, nzt+1
1626	u(k,j,nxlg:-1) = mean_inflow_profiles(k,1)
1627	v(k,j,nxlg:-1) = mean_inflow_profiles(k,2)
1628	w(k,j,nxlg:-1) = 0.0_wp
1629	pt(k,j,nxlg:-1) = mean_inflow_profiles(k,4)
1630	e(k,j,nxlg:-1) = mean_inflow_profiles(k,5)
1631	IF ( humidity ) &
1632	q(k,j,nxlg:-1) = mean_inflow_profiles(k,6)
1633	IF ( passive_scalar ) &
1634	s(k,j,nxlg:-1) = mean_inflow_profiles(k,7)
1635	ENDDO
1636	ENDDO
1637	ENDIF
1638
1639	!
1640	!-- Calculate the damping factors to be used at the inflow. For a
1641	!-- turbulent inflow the turbulent fluctuations have to be limited
1642	!-- vertically because otherwise the turbulent inflow layer will grow
1643	!-- in time.
1644	IF ( inflow_damping_height == 9999999.9_wp ) THEN
1645	!
1646	!-- Default: use the inversion height calculated by the prerun; if
1647	!-- this is zero, inflow_damping_height must be explicitly
1648	!-- specified.
1649	IF ( hom_sum(nzb+6,pr_palm,0) /= 0.0_wp ) THEN
1650	inflow_damping_height = hom_sum(nzb+6,pr_palm,0)
1651	ELSE
1652	WRITE( message_string, * ) 'inflow_damping_height must be ', &
1653	'explicitly specified because&the inversion height ', &
1654	'calculated by the prerun is zero.'
1655	CALL message( 'init_3d_model', 'PA0318', 1, 2, 0, 6, 0 )
1656	ENDIF
1657
1658	ENDIF
1659
1660	IF ( inflow_damping_width == 9999999.9_wp ) THEN
1661	!
1662	!-- Default for the transition range: one tenth of the undamped
1663	!-- layer
1664	inflow_damping_width = 0.1_wp * inflow_damping_height
1665
1666	ENDIF
1667
1668	ALLOCATE( inflow_damping_factor(nzb:nzt+1) )
1669
1670	DO k = nzb, nzt+1
1671
1672	IF ( zu(k) <= inflow_damping_height ) THEN
1673	inflow_damping_factor(k) = 1.0_wp
1674	ELSEIF ( zu(k) <= ( inflow_damping_height + inflow_damping_width ) ) THEN
1675	inflow_damping_factor(k) = 1.0_wp - &
1676	( zu(k) - inflow_damping_height ) / &
1677	inflow_damping_width
1678	ELSE
1679	inflow_damping_factor(k) = 0.0_wp
1680	ENDIF
1681
1682	ENDDO
1683
1684	ENDIF
1685
1686	!
1687	!-- Inside buildings set velocities and TKE back to zero
1688	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. &
1689	topography /= 'flat' ) THEN
1690	!
1691	!-- Inside buildings set velocities and TKE back to zero.
1692	!-- Other scalars (pt, q, s, km, kh, p, sa, ...) are ignored at present,
1693	!-- maybe revise later.
1694	DO i = nxlg, nxrg
1695	DO j = nysg, nyng
1696	u (nzb:nzb_u_inner(j,i),j,i) = 0.0_wp
1697	v (nzb:nzb_v_inner(j,i),j,i) = 0.0_wp
1698	w (nzb:nzb_w_inner(j,i),j,i) = 0.0_wp
1699	e (nzb:nzb_w_inner(j,i),j,i) = 0.0_wp
1700	tu_m(nzb:nzb_u_inner(j,i),j,i) = 0.0_wp
1701	tv_m(nzb:nzb_v_inner(j,i),j,i) = 0.0_wp
1702	tw_m(nzb:nzb_w_inner(j,i),j,i) = 0.0_wp
1703	te_m(nzb:nzb_w_inner(j,i),j,i) = 0.0_wp
1704	tpt_m(nzb:nzb_w_inner(j,i),j,i) = 0.0_wp
1705	ENDDO
1706	ENDDO
1707
1708	ENDIF
1709
1710	!
1711	!-- Calculate initial temperature field and other constants used in case
1712	!-- of a sloping surface
1713	IF ( sloping_surface ) CALL init_slope
1714
1715	!
1716	!-- Initialize new time levels (only done in order to set boundary values
1717	!-- including ghost points)
1718	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
1719	IF ( humidity ) THEN
1720	q_p = q
1721	IF ( cloud_physics .AND. microphysics_seifert ) THEN
1722	qr_p = qr
1723	nr_p = nr
1724	ENDIF
1725	ENDIF
1726	IF ( passive_scalar ) s_p = s
1727	IF ( ocean ) sa_p = sa
1728
1729	!
1730	!-- Allthough tendency arrays are set in prognostic_equations, they have
1731	!-- have to be predefined here because they are used (but multiplied with 0)
1732	!-- there before they are set.
1733	te_m = 0.0_wp; tpt_m = 0.0_wp; tu_m = 0.0_wp; tv_m = 0.0_wp; tw_m = 0.0_wp
1734	IF ( humidity ) THEN
1735	tq_m = 0.0_wp
1736	IF ( cloud_physics .AND. microphysics_seifert ) THEN
1737	tqr_m = 0.0_wp
1738	tnr_m = 0.0_wp
1739	ENDIF
1740	ENDIF
1741	IF ( passive_scalar ) ts_m = 0.0_wp
1742	IF ( ocean ) tsa_m = 0.0_wp
1743
1744	CALL location_message( 'finished', .TRUE. )
1745
1746	ELSE
1747	!
1748	!-- Actually this part of the programm should not be reached
1749	message_string = 'unknown initializing problem'
1750	CALL message( 'init_3d_model', 'PA0193', 1, 2, 0, 6, 0 )
1751	ENDIF
1752
1753
1754	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1755	!
1756	!-- Initialize old timelevels needed for radiation boundary conditions
1757	IF ( outflow_l ) THEN
1758	u_m_l(:,:,:) = u(:,:,1:2)
1759	v_m_l(:,:,:) = v(:,:,0:1)
1760	w_m_l(:,:,:) = w(:,:,0:1)
1761	ENDIF
1762	IF ( outflow_r ) THEN
1763	u_m_r(:,:,:) = u(:,:,nx-1:nx)
1764	v_m_r(:,:,:) = v(:,:,nx-1:nx)
1765	w_m_r(:,:,:) = w(:,:,nx-1:nx)
1766	ENDIF
1767	IF ( outflow_s ) THEN
1768	u_m_s(:,:,:) = u(:,0:1,:)
1769	v_m_s(:,:,:) = v(:,1:2,:)
1770	w_m_s(:,:,:) = w(:,0:1,:)
1771	ENDIF
1772	IF ( outflow_n ) THEN
1773	u_m_n(:,:,:) = u(:,ny-1:ny,:)
1774	v_m_n(:,:,:) = v(:,ny-1:ny,:)
1775	w_m_n(:,:,:) = w(:,ny-1:ny,:)
1776	ENDIF
1777
1778	ENDIF
1779
1780	!
1781	!-- Calculate the initial volume flow at the right and north boundary
1782	IF ( conserve_volume_flow ) THEN
1783
1784	IF ( use_prescribed_profile_data ) THEN
1785
1786	volume_flow_initial_l = 0.0_wp
1787	volume_flow_area_l = 0.0_wp
1788
1789	IF ( nxr == nx ) THEN
1790	DO j = nys, nyn
1791	DO k = nzb_u_inner(j,nx)+1, nzt
1792	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1793	u_init(k) * dzw(k)
1794	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1795	ENDDO
1796	ENDDO
1797	ENDIF
1798
1799	IF ( nyn == ny ) THEN
1800	DO i = nxl, nxr
1801	DO k = nzb_v_inner(ny,i)+1, nzt
1802	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1803	v_init(k) * dzw(k)
1804	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1805	ENDDO
1806	ENDDO
1807	ENDIF
1808
1809	#if defined( __parallel )
1810	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1811	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1812	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1813	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1814
1815	#else
1816	volume_flow_initial = volume_flow_initial_l
1817	volume_flow_area = volume_flow_area_l
1818	#endif
1819
1820	ELSEIF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
1821
1822	volume_flow_initial_l = 0.0_wp
1823	volume_flow_area_l = 0.0_wp
1824
1825	IF ( nxr == nx ) THEN
1826	DO j = nys, nyn
1827	DO k = nzb_u_inner(j,nx)+1, nzt
1828	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1829	hom_sum(k,1,0) * dzw(k)
1830	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1831	ENDDO
1832	ENDDO
1833	ENDIF
1834
1835	IF ( nyn == ny ) THEN
1836	DO i = nxl, nxr
1837	DO k = nzb_v_inner(ny,i)+1, nzt
1838	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1839	hom_sum(k,2,0) * dzw(k)
1840	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1841	ENDDO
1842	ENDDO
1843	ENDIF
1844
1845	#if defined( __parallel )
1846	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1847	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1848	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1849	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1850
1851	#else
1852	volume_flow_initial = volume_flow_initial_l
1853	volume_flow_area = volume_flow_area_l
1854	#endif
1855
1856	ELSEIF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1857
1858	volume_flow_initial_l = 0.0_wp
1859	volume_flow_area_l = 0.0_wp
1860
1861	IF ( nxr == nx ) THEN
1862	DO j = nys, nyn
1863	DO k = nzb_u_inner(j,nx)+1, nzt
1864	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1865	u(k,j,nx) * dzw(k)
1866	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1867	ENDDO
1868	ENDDO
1869	ENDIF
1870
1871	IF ( nyn == ny ) THEN
1872	DO i = nxl, nxr
1873	DO k = nzb_v_inner(ny,i)+1, nzt
1874	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1875	v(k,ny,i) * dzw(k)
1876	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1877	ENDDO
1878	ENDDO
1879	ENDIF
1880
1881	#if defined( __parallel )
1882	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1883	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1884	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1885	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1886
1887	#else
1888	volume_flow_initial = volume_flow_initial_l
1889	volume_flow_area = volume_flow_area_l
1890	#endif
1891
1892	ENDIF
1893
1894	!
1895	!-- In case of 'bulk_velocity' mode, volume_flow_initial is calculated
1896	!-- from u\|v_bulk instead
1897	IF ( TRIM( conserve_volume_flow_mode ) == 'bulk_velocity' ) THEN
1898	volume_flow_initial(1) = u_bulk * volume_flow_area(1)
1899	volume_flow_initial(2) = v_bulk * volume_flow_area(2)
1900	ENDIF
1901
1902	ENDIF
1903
1904	!
1905	!-- Initialize quantities for special advections schemes
1906	CALL init_advec
1907
1908	!
1909	!-- Impose random perturbation on the horizontal velocity field and then
1910	!-- remove the divergences from the velocity field at the initial stage
1911	IF ( create_disturbances .AND. disturbance_energy_limit /= 0.0_wp .AND. &
1912	TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
1913	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
1914
1915	CALL location_message( 'creating initial disturbances', .FALSE. )
1916	CALL disturb_field( nzb_u_inner, tend, u )
1917	CALL disturb_field( nzb_v_inner, tend, v )
1918	CALL location_message( 'finished', .TRUE. )
1919
1920	CALL location_message( 'calling pressure solver', .FALSE. )
1921	n_sor = nsor_ini
1922	!$acc data copyin( d, ddzu, ddzw, nzb_s_inner, nzb_u_inner ) &
1923	!$acc copyin( nzb_v_inner, nzb_w_inner, p, rflags_s_inner, tend ) &
1924	!$acc copyin( weight_pres, weight_substep ) &
1925	!$acc copy( tri, tric, u, v, w )
1926	CALL pres
1927	!$acc end data
1928	n_sor = nsor
1929	CALL location_message( 'finished', .TRUE. )
1930
1931	ENDIF
1932
1933	!
1934	!-- If required, initialize quantities needed for the plant canopy model
1935	IF ( plant_canopy ) THEN
1936	CALL location_message( 'initializing plant canopy model', .FALSE. )
1937	CALL pcm_init
1938	CALL location_message( 'finished', .TRUE. )
1939	ENDIF
1940
1941	!
1942	!-- If required, initialize dvrp-software
1943	IF ( dt_dvrp /= 9999999.9_wp ) CALL init_dvrp
1944
1945	IF ( ocean ) THEN
1946	!
1947	!-- Initialize quantities needed for the ocean model
1948	CALL init_ocean
1949
1950	ELSE
1951	!
1952	!-- Initialize quantities for handling cloud physics
1953	!-- This routine must be called before lpm_init, because
1954	!-- otherwise, array pt_d_t, needed in data_output_dvrp (called by
1955	!-- lpm_init) is not defined.
1956	CALL init_cloud_physics
1957	!
1958	!-- Initialize bulk cloud microphysics
1959	CALL microphysics_init
1960	ENDIF
1961
1962	!
1963	!-- If required, initialize particles
1964	IF ( particle_advection ) CALL lpm_init
1965
1966	!
1967	!-- If required, initialize quantities needed for the LSM
1968	IF ( land_surface ) THEN
1969	CALL location_message( 'initializing land surface model', .FALSE. )
1970	CALL lsm_init
1971	CALL location_message( 'finished', .TRUE. )
1972	ENDIF
1973
1974	!
1975	!-- Initialize surface layer (done after LSM as roughness length are required
1976	!-- for initialization
1977	IF ( constant_flux_layer ) THEN
1978	CALL location_message( 'initializing surface layer', .FALSE. )
1979	CALL init_surface_layer_fluxes
1980	CALL location_message( 'finished', .TRUE. )
1981	ENDIF
1982
1983	!
1984	!-- If required, initialize radiation model
1985	IF ( radiation ) THEN
1986	CALL location_message( 'initializing radiation model', .FALSE. )
1987	CALL radiation_init
1988	CALL location_message( 'finished', .TRUE. )
1989	ENDIF
1990
1991	!
1992	!-- If required, initialize urban surface model
1993	IF ( urban_surface ) THEN
1994	CALL location_message( 'initializing urban surface model', .FALSE. )
1995	CALL usm_init_urban_surface
1996	CALL location_message( 'finished', .TRUE. )
1997	ENDIF
1998
1999	!
2000	!-- If required, initialize quantities needed for the wind turbine model
2001	IF ( wind_turbine ) THEN
2002	CALL location_message( 'initializing wind turbine model', .FALSE. )
2003	CALL wtm_init
2004	CALL location_message( 'finished', .TRUE. )
2005	ENDIF
2006
2007
2008	!
2009	!-- Initialize the ws-scheme.
2010	IF ( ws_scheme_sca .OR. ws_scheme_mom ) CALL ws_init
2011
2012	!
2013	!-- Setting weighting factors for calculation of perturbation pressure
2014	!-- and turbulent quantities from the RK substeps
2015	IF ( TRIM(timestep_scheme) == 'runge-kutta-3' ) THEN ! for RK3-method
2016
2017	weight_substep(1) = 1._wp/6._wp
2018	weight_substep(2) = 3._wp/10._wp
2019	weight_substep(3) = 8._wp/15._wp
2020
2021	weight_pres(1) = 1._wp/3._wp
2022	weight_pres(2) = 5._wp/12._wp
2023	weight_pres(3) = 1._wp/4._wp
2024
2025	ELSEIF ( TRIM(timestep_scheme) == 'runge-kutta-2' ) THEN ! for RK2-method
2026
2027	weight_substep(1) = 1._wp/2._wp
2028	weight_substep(2) = 1._wp/2._wp
2029
2030	weight_pres(1) = 1._wp/2._wp
2031	weight_pres(2) = 1._wp/2._wp
2032
2033	ELSE ! for Euler-method
2034
2035	weight_substep(1) = 1.0_wp
2036	weight_pres(1) = 1.0_wp
2037
2038	ENDIF
2039
2040	!
2041	!-- Initialize Rayleigh damping factors
2042	rdf = 0.0_wp
2043	rdf_sc = 0.0_wp
2044	IF ( rayleigh_damping_factor /= 0.0_wp ) THEN
2045	IF ( .NOT. ocean ) THEN
2046	DO k = nzb+1, nzt
2047	IF ( zu(k) >= rayleigh_damping_height ) THEN
2048	rdf(k) = rayleigh_damping_factor * &
2049	( SIN( pi * 0.5_wp * ( zu(k) - rayleigh_damping_height ) &
2050	/ ( zu(nzt) - rayleigh_damping_height ) ) &
2051	)**2
2052	ENDIF
2053	ENDDO
2054	ELSE
2055	DO k = nzt, nzb+1, -1
2056	IF ( zu(k) <= rayleigh_damping_height ) THEN
2057	rdf(k) = rayleigh_damping_factor * &
2058	( SIN( pi * 0.5_wp * ( rayleigh_damping_height - zu(k) ) &
2059	/ ( rayleigh_damping_height - zu(nzb+1) ) ) &
2060	)**2
2061	ENDIF
2062	ENDDO
2063	ENDIF
2064	ENDIF
2065	IF ( scalar_rayleigh_damping ) rdf_sc = rdf
2066
2067	!
2068	!-- Initialize the starting level and the vertical smoothing factor used for
2069	!-- the external pressure gradient
2070	dp_smooth_factor = 1.0_wp
2071	IF ( dp_external ) THEN
2072	!
2073	!-- Set the starting level dp_level_ind_b only if it has not been set before
2074	!-- (e.g. in init_grid).
2075	IF ( dp_level_ind_b == 0 ) THEN
2076	ind_array = MINLOC( ABS( dp_level_b - zu ) )
2077	dp_level_ind_b = ind_array(1) - 1 + nzb
2078	! MINLOC uses lower array bound 1
2079	ENDIF
2080	IF ( dp_smooth ) THEN
2081	dp_smooth_factor(:dp_level_ind_b) = 0.0_wp
2082	DO k = dp_level_ind_b+1, nzt
2083	dp_smooth_factor(k) = 0.5_wp * ( 1.0_wp + SIN( pi * &
2084	( REAL( k - dp_level_ind_b, KIND=wp ) / &
2085	REAL( nzt - dp_level_ind_b, KIND=wp ) - 0.5_wp ) ) )
2086	ENDDO
2087	ENDIF
2088	ENDIF
2089
2090	!
2091	!-- Initialize damping zone for the potential temperature in case of
2092	!-- non-cyclic lateral boundaries. The damping zone has the maximum value
2093	!-- at the inflow boundary and decreases to zero at pt_damping_width.
2094	ptdf_x = 0.0_wp
2095	ptdf_y = 0.0_wp
2096	IF ( bc_lr_dirrad ) THEN
2097	DO i = nxl, nxr
2098	IF ( ( i * dx ) < pt_damping_width ) THEN
2099	ptdf_x(i) = pt_damping_factor * ( SIN( pi * 0.5_wp * &
2100	REAL( pt_damping_width - i * dx, KIND=wp ) / ( &
2101	REAL( pt_damping_width, KIND=wp ) ) ) )**2
2102	ENDIF
2103	ENDDO
2104	ELSEIF ( bc_lr_raddir ) THEN
2105	DO i = nxl, nxr
2106	IF ( ( i * dx ) > ( nx * dx - pt_damping_width ) ) THEN
2107	ptdf_x(i) = pt_damping_factor * &
2108	SIN( pi * 0.5_wp * &
2109	( ( i - nx ) * dx + pt_damping_width ) / &
2110	REAL( pt_damping_width, KIND=wp ) )**2
2111	ENDIF
2112	ENDDO
2113	ELSEIF ( bc_ns_dirrad ) THEN
2114	DO j = nys, nyn
2115	IF ( ( j * dy ) > ( ny * dy - pt_damping_width ) ) THEN
2116	ptdf_y(j) = pt_damping_factor * &
2117	SIN( pi * 0.5_wp * &
2118	( ( j - ny ) * dy + pt_damping_width ) / &
2119	REAL( pt_damping_width, KIND=wp ) )**2
2120	ENDIF
2121	ENDDO
2122	ELSEIF ( bc_ns_raddir ) THEN
2123	DO j = nys, nyn
2124	IF ( ( j * dy ) < pt_damping_width ) THEN
2125	ptdf_y(j) = pt_damping_factor * &
2126	SIN( pi * 0.5_wp * &
2127	( pt_damping_width - j * dy ) / &
2128	REAL( pt_damping_width, KIND=wp ) )**2
2129	ENDIF
2130	ENDDO
2131	ENDIF
2132
2133	!
2134	!-- Pre-set masks for regional statistics. Default is the total model domain.
2135	!-- Ghost points are excluded because counting values at the ghost boundaries
2136	!-- would bias the statistics
2137	rmask = 1.0_wp
2138	rmask(:,nxlg:nxl-1,:) = 0.0_wp; rmask(:,nxr+1:nxrg,:) = 0.0_wp
2139	rmask(nysg:nys-1,:,:) = 0.0_wp; rmask(nyn+1:nyng,:,:) = 0.0_wp
2140
2141	!
2142	!-- User-defined initializing actions. Check afterwards, if maximum number
2143	!-- of allowed timeseries is exceeded
2144	CALL user_init
2145
2146	IF ( dots_num > dots_max ) THEN
2147	WRITE( message_string, * ) 'number of time series quantities exceeds', &
2148	' its maximum of dots_max = ', dots_max, &
2149	' &Please increase dots_max in modules.f90.'
2150	CALL message( 'init_3d_model', 'PA0194', 1, 2, 0, 6, 0 )
2151	ENDIF
2152
2153	!
2154	!-- Input binary data file is not needed anymore. This line must be placed
2155	!-- after call of user_init!
2156	CALL close_file( 13 )
2157
2158	!
2159	!-- Compute total sum of active mask grid points
2160	!-- and the mean surface level height for each statistic region
2161	!-- ngp_2dh: number of grid points of a horizontal cross section through the
2162	!-- total domain
2163	!-- ngp_3d: number of grid points of the total domain
2164	ngp_2dh_outer_l = 0
2165	ngp_2dh_outer = 0
2166	ngp_2dh_s_inner_l = 0
2167	ngp_2dh_s_inner = 0
2168	ngp_2dh_l = 0
2169	ngp_2dh = 0
2170	ngp_3d_inner_l = 0.0_wp
2171	ngp_3d_inner = 0
2172	ngp_3d = 0
2173	ngp_sums = ( nz + 2 ) * ( pr_palm + max_pr_user )
2174
2175	mean_surface_level_height = 0.0_wp
2176	mean_surface_level_height_l = 0.0_wp
2177
2178	DO sr = 0, statistic_regions
2179	DO i = nxl, nxr
2180	DO j = nys, nyn
2181	IF ( rmask(j,i,sr) == 1.0_wp ) THEN
2182	!
2183	!-- All xy-grid points
2184	ngp_2dh_l(sr) = ngp_2dh_l(sr) + 1
2185	mean_surface_level_height_l(sr) = mean_surface_level_height_l(sr) &
2186	+ zw(nzb_s_inner(j,i))
2187	!
2188	!-- xy-grid points above topography
2189	DO k = nzb_s_outer(j,i), nz + 1
2190	ngp_2dh_outer_l(k,sr) = ngp_2dh_outer_l(k,sr) + 1
2191	ENDDO
2192	DO k = nzb_s_inner(j,i), nz + 1
2193	ngp_2dh_s_inner_l(k,sr) = ngp_2dh_s_inner_l(k,sr) + 1
2194	ENDDO
2195	!
2196	!-- All grid points of the total domain above topography
2197	ngp_3d_inner_l(sr) = ngp_3d_inner_l(sr) &
2198	+ ( nz - nzb_s_inner(j,i) + 2 )
2199	ENDIF
2200	ENDDO
2201	ENDDO
2202	ENDDO
2203
2204	sr = statistic_regions + 1
2205	#if defined( __parallel )
2206	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2207	CALL MPI_ALLREDUCE( ngp_2dh_l(0), ngp_2dh(0), sr, MPI_INTEGER, MPI_SUM, &
2208	comm2d, ierr )
2209	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2210	CALL MPI_ALLREDUCE( ngp_2dh_outer_l(0,0), ngp_2dh_outer(0,0), (nz+2)*sr, &
2211	MPI_INTEGER, MPI_SUM, comm2d, ierr )
2212	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2213	CALL MPI_ALLREDUCE( ngp_2dh_s_inner_l(0,0), ngp_2dh_s_inner(0,0), &
2214	(nz+2)*sr, MPI_INTEGER, MPI_SUM, comm2d, ierr )
2215	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2216	CALL MPI_ALLREDUCE( ngp_3d_inner_l(0), ngp_3d_inner_tmp(0), sr, MPI_REAL, &
2217	MPI_SUM, comm2d, ierr )
2218	ngp_3d_inner = INT( ngp_3d_inner_tmp, KIND = SELECTED_INT_KIND( 18 ) )
2219	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2220	CALL MPI_ALLREDUCE( mean_surface_level_height_l(0), &
2221	mean_surface_level_height(0), sr, MPI_REAL, &
2222	MPI_SUM, comm2d, ierr )
2223	mean_surface_level_height = mean_surface_level_height / REAL( ngp_2dh )
2224	#else
2225	ngp_2dh = ngp_2dh_l
2226	ngp_2dh_outer = ngp_2dh_outer_l
2227	ngp_2dh_s_inner = ngp_2dh_s_inner_l
2228	ngp_3d_inner = INT( ngp_3d_inner_l, KIND = SELECTED_INT_KIND( 18 ) )
2229	mean_surface_level_height = mean_surface_level_height_l / REAL( ngp_2dh_l )
2230	#endif
2231
2232	ngp_3d = INT ( ngp_2dh, KIND = SELECTED_INT_KIND( 18 ) ) * &
2233	INT ( (nz + 2 ), KIND = SELECTED_INT_KIND( 18 ) )
2234
2235	!
2236	!-- Set a lower limit of 1 in order to avoid zero divisions in flow_statistics,
2237	!-- buoyancy, etc. A zero value will occur for cases where all grid points of
2238	!-- the respective subdomain lie below the surface topography
2239	ngp_2dh_outer = MAX( 1, ngp_2dh_outer(:,:) )
2240	ngp_3d_inner = MAX( INT(1, KIND = SELECTED_INT_KIND( 18 )), &
2241	ngp_3d_inner(:) )
2242	ngp_2dh_s_inner = MAX( 1, ngp_2dh_s_inner(:,:) )
2243
2244	DEALLOCATE( mean_surface_level_height_l, ngp_2dh_l, ngp_2dh_outer_l, &
2245	ngp_3d_inner_l, ngp_3d_inner_tmp )
2246
2247	CALL location_message( 'leaving init_3d_model', .TRUE. )
2248
2249	END SUBROUTINE init_3d_model

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