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source: palm/trunk/SOURCE/init_3d_model.f90 @ 1736

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

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