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

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