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source: palm/trunk/SOURCE/init_3d_model.f90 @ 1329

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1	SUBROUTINE init_3d_model
2
3	!--------------------------------------------------------------------------------!
4	! This file is part of PALM.
5	!
6	! PALM is free software: you can redistribute it and/or modify it under the terms
7	! of the GNU General Public License as published by the Free Software Foundation,
8	! either version 3 of the License, or (at your option) any later 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 1997-2014 Leibniz Universitaet Hannover
18	!--------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! ------------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: init_3d_model.f90 1323 2014-03-20 17:09:54Z raasch $
27	!
28	! 1322 2014-03-20 16:38:49Z raasch
29	! REAL constants defined as wp-kind
30	! module interfaces removed
31	!
32	! 1320 2014-03-20 08:40:49Z raasch
33	! ONLY-attribute added to USE-statements,
34	! kind-parameters added to all INTEGER and REAL declaration statements,
35	! kinds are defined in new module kinds,
36	! revision history before 2012 removed,
37	! comment fields (!:) to be used for variable explanations added to
38	! all variable declaration statements
39	!
40	! 1316 2014-03-17 07:44:59Z heinze
41	! Bugfix: allocation of w_subs
42	!
43	! 1299 2014-03-06 13:15:21Z heinze
44	! Allocate w_subs due to extension of large scale subsidence in combination
45	! with large scale forcing data (LSF_DATA)
46	!
47	! 1241 2013-10-30 11:36:58Z heinze
48	! Overwrite initial profiles in case of nudging
49	! Inititialize shf and qsws in case of large_scale_forcing
50	!
51	! 1221 2013-09-10 08:59:13Z raasch
52	! +rflags_s_inner in copyin statement, use copyin for most arrays instead of
53	! copy
54	!
55	! 1212 2013-08-15 08:46:27Z raasch
56	! array tri is allocated and included in data copy statement
57	!
58	! 1195 2013-07-01 12:27:57Z heinze
59	! Bugfix: move allocation of ref_state to parin.f90 and read_var_list.f90
60	!
61	! 1179 2013-06-14 05:57:58Z raasch
62	! allocate and set ref_state to be used in buoyancy terms
63	!
64	! 1171 2013-05-30 11:27:45Z raasch
65	! diss array is allocated with full size if accelerator boards are used
66	!
67	! 1159 2013-05-21 11:58:22Z fricke
68	! -bc_lr_dirneu, bc_lr_neudir, bc_ns_dirneu, bc_ns_neudir
69	!
70	! 1153 2013-05-10 14:33:08Z raasch
71	! diss array is allocated with dummy elements even if it is not needed
72	! (required by PGI 13.4 / CUDA 5.0)
73	!
74	! 1115 2013-03-26 18:16:16Z hoffmann
75	! unused variables removed
76	!
77	! 1113 2013-03-10 02:48:14Z raasch
78	! openACC directive modified
79	!
80	! 1111 2013-03-08 23:54:10Z raasch
81	! openACC directives added for pres
82	! array diss allocated only if required
83	!
84	! 1092 2013-02-02 11:24:22Z raasch
85	! unused variables removed
86	!
87	! 1065 2012-11-22 17:42:36Z hoffmann
88	! allocation of diss (dissipation rate) in case of turbulence = .TRUE. added
89	!
90	! 1053 2012-11-13 17:11:03Z hoffmann
91	! allocation and initialisation of necessary data arrays for the two-moment
92	! cloud physics scheme the two new prognostic equations (nr, qr):
93	! +dr, lambda_r, mu_r, sed_, xr, s, sws, swst, , _p, t_m, _1, _2, _3,
94	! +tend_*, prr
95	!
96	! 1036 2012-10-22 13:43:42Z raasch
97	! code put under GPL (PALM 3.9)
98	!
99	! 1032 2012-10-21 13:03:21Z letzel
100	! save memory by not allocating pt_2 in case of neutral = .T.
101	!
102	! 1025 2012-10-07 16:04:41Z letzel
103	! bugfix: swap indices of mask for ghost boundaries
104	!
105	! 1015 2012-09-27 09:23:24Z raasch
106	! mask is set to zero for ghost boundaries
107	!
108	! 1010 2012-09-20 07:59:54Z raasch
109	! cpp switch __nopointer added for pointer free version
110	!
111	! 1003 2012-09-14 14:35:53Z raasch
112	! nxra,nyna, nzta replaced ny nxr, nyn, nzt
113	!
114	! 1001 2012-09-13 14:08:46Z raasch
115	! all actions concerning leapfrog scheme removed
116	!
117	! 996 2012-09-07 10:41:47Z raasch
118	! little reformatting
119	!
120	! 978 2012-08-09 08:28:32Z fricke
121	! outflow damping layer removed
122	! roughness length for scalar quantites z0h added
123	! damping zone for the potential temperatur in case of non-cyclic lateral
124	! boundaries added
125	! initialization of ptdf_x, ptdf_y
126	! initialization of c_u_m, c_u_m_l, c_v_m, c_v_m_l, c_w_m, c_w_m_l
127	!
128	! 849 2012-03-15 10:35:09Z raasch
129	! init_particles renamed lpm_init
130	!
131	! 825 2012-02-19 03:03:44Z raasch
132	! wang_collision_kernel renamed wang_kernel
133	!
134	! Revision 1.1 1998/03/09 16:22:22 raasch
135	! Initial revision
136	!
137	!
138	! Description:
139	! ------------
140	! Allocation of arrays and initialization of the 3D model via
141	! a) pre-run the 1D model
142	! or
143	! b) pre-set constant linear profiles
144	! or
145	! c) read values of a previous run
146	!------------------------------------------------------------------------------!
147
148	USE advec_ws
149
150	USE arrays_3d
151
152	USE cloud_parameters, &
153	ONLY: nc_const, precipitation_amount, precipitation_rate, prr
154
155	USE constants, &
156	ONLY: pi
157
158	USE control_parameters
159
160	USE grid_variables, &
161	ONLY: dx, dy
162
163	USE indices
164
165	USE kinds
166
167	USE ls_forcing_mod
168
169	USE model_1d, &
170	ONLY: e1d, kh1d, km1d, l1d, rif1d, u1d, us1d, usws1d, v1d, vsws1d
171
172	USE netcdf_control
173
174	USE particle_attributes, &
175	ONLY: particle_advection, use_sgs_for_particles, wang_kernel
176
177	USE pegrid
178
179	USE random_function_mod
180
181	USE statistics, &
182	ONLY: hom, hom_sum, pr_palm, rmask, spectrum_x, spectrum_y, &
183	statistic_regions, sums, sums_divnew_l, sums_divold_l, sums_l, &
184	sums_l_l, sums_up_fraction_l, sums_wsts_bc_l, ts_value, &
185	weight_pres, weight_substep
186
187	USE transpose_indices
188
189	IMPLICIT NONE
190
191	INTEGER(iwp) :: i !:
192	INTEGER(iwp) :: ind_array(1) !:
193	INTEGER(iwp) :: j !:
194	INTEGER(iwp) :: k !:
195	INTEGER(iwp) :: sr !:
196
197	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ngp_2dh_l !:
198
199	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: ngp_2dh_outer_l !:
200	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: ngp_2dh_s_inner_l !:
201
202	REAL(wp), DIMENSION(1:2) :: volume_flow_area_l !:
203	REAL(wp), DIMENSION(1:2) :: volume_flow_initial_l !:
204
205	REAL(wp), DIMENSION(:), ALLOCATABLE :: ngp_3d_inner_l !:
206	REAL(wp), DIMENSION(:), ALLOCATABLE :: ngp_3d_inner_tmp !:
207
208
209	!
210	!-- Allocate arrays
211	ALLOCATE( ngp_2dh(0:statistic_regions), ngp_2dh_l(0:statistic_regions), &
212	ngp_3d(0:statistic_regions), &
213	ngp_3d_inner(0:statistic_regions), &
214	ngp_3d_inner_l(0:statistic_regions), &
215	ngp_3d_inner_tmp(0:statistic_regions), &
216	sums_divnew_l(0:statistic_regions), &
217	sums_divold_l(0:statistic_regions) )
218	ALLOCATE( dp_smooth_factor(nzb:nzt), rdf(nzb+1:nzt), rdf_sc(nzb+1:nzt) )
219	ALLOCATE( ngp_2dh_outer(nzb:nzt+1,0:statistic_regions), &
220	ngp_2dh_outer_l(nzb:nzt+1,0:statistic_regions), &
221	ngp_2dh_s_inner(nzb:nzt+1,0:statistic_regions), &
222	ngp_2dh_s_inner_l(nzb:nzt+1,0:statistic_regions), &
223	rmask(nysg:nyng,nxlg:nxrg,0:statistic_regions), &
224	sums(nzb:nzt+1,pr_palm+max_pr_user), &
225	sums_l(nzb:nzt+1,pr_palm+max_pr_user,0:threads_per_task-1), &
226	sums_l_l(nzb:nzt+1,0:statistic_regions,0:threads_per_task-1), &
227	sums_up_fraction_l(10,3,0:statistic_regions), &
228	sums_wsts_bc_l(nzb:nzt+1,0:statistic_regions), &
229	ts_value(dots_max,0:statistic_regions) )
230	ALLOCATE( ptdf_x(nxlg:nxrg), ptdf_y(nysg:nyng) )
231
232	ALLOCATE( rif(nysg:nyng,nxlg:nxrg), shf(nysg:nyng,nxlg:nxrg), &
233	ts(nysg:nyng,nxlg:nxrg), tswst(nysg:nyng,nxlg:nxrg), &
234	us(nysg:nyng,nxlg:nxrg), usws(nysg:nyng,nxlg:nxrg), &
235	uswst(nysg:nyng,nxlg:nxrg), vsws(nysg:nyng,nxlg:nxrg), &
236	vswst(nysg:nyng,nxlg:nxrg), z0(nysg:nyng,nxlg:nxrg), &
237	z0h(nysg:nyng,nxlg:nxrg) )
238
239	ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr), &
240	kh(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
241	km(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
242	p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
243	tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
244
245	#if defined( __nopointer )
246	ALLOCATE( e(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
247	e_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
248	pt(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
249	pt_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
250	u(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
251	u_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
252	v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
253	v_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
254	w(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
255	w_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
256	te_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
257	tpt_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
258	tu_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
259	tv_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
260	tw_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
261	#else
262	ALLOCATE( e_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
263	e_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
264	e_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
265	pt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
266	pt_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
267	u_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
268	u_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
269	u_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
270	v_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
271	v_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
272	v_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
273	w_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
274	w_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
275	w_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
276	IF ( .NOT. neutral ) THEN
277	ALLOCATE( pt_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
278	ENDIF
279	#endif
280
281	!
282	!-- Following array is required for perturbation pressure within the iterative
283	!-- pressure solvers. For the multistep schemes (Runge-Kutta), array p holds
284	!-- the weighted average of the substeps and cannot be used in the Poisson
285	!-- solver.
286	IF ( psolver == 'sor' ) THEN
287	ALLOCATE( p_loc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
288	ELSEIF ( psolver == 'multigrid' ) THEN
289	!
290	!-- For performance reasons, multigrid is using one ghost layer only
291	ALLOCATE( p_loc(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
292	ENDIF
293
294	!
295	!-- Array for storing constant coeffficients of the tridiagonal solver
296	IF ( psolver == 'poisfft' ) THEN
297	ALLOCATE( tri(nxl_z:nxr_z,nys_z:nyn_z,0:nz-1,2) )
298	ALLOCATE( tric(nxl_z:nxr_z,nys_z:nyn_z,0:nz-1) )
299	ENDIF
300
301	IF ( humidity .OR. passive_scalar ) THEN
302	!
303	!-- 2D-humidity/scalar arrays
304	ALLOCATE ( qs(nysg:nyng,nxlg:nxrg), &
305	qsws(nysg:nyng,nxlg:nxrg), &
306	qswst(nysg:nyng,nxlg:nxrg) )
307
308	!
309	!-- 3D-humidity/scalar arrays
310	#if defined( __nopointer )
311	ALLOCATE( q(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
312	q_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
313	tq_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
314	#else
315	ALLOCATE( q_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
316	q_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
317	q_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
318	#endif
319
320	!
321	!-- 3D-arrays needed for humidity only
322	IF ( humidity ) THEN
323	#if defined( __nopointer )
324	ALLOCATE( vpt(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
325	#else
326	ALLOCATE( vpt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
327	#endif
328
329	IF ( cloud_physics ) THEN
330
331	!
332	!-- Liquid water content
333	#if defined( __nopointer )
334	ALLOCATE ( ql(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
335	#else
336	ALLOCATE ( ql_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
337	#endif
338	!
339	!-- Precipitation amount and rate (only needed if output is switched)
340	ALLOCATE( precipitation_amount(nysg:nyng,nxlg:nxrg), &
341	precipitation_rate(nysg:nyng,nxlg:nxrg) )
342
343	IF ( icloud_scheme == 0 ) THEN
344	!
345	!-- 1D-arrays
346	ALLOCATE ( nc_1d(nzb:nzt+1), pt_1d(nzb:nzt+1), &
347	q_1d(nzb:nzt+1), qc_1d(nzb:nzt+1) )
348	!
349	!-- 3D-cloud water content
350	#if defined( __nopointer )
351	ALLOCATE( qc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
352	#else
353	ALLOCATE( qc_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
354	#endif
355	!
356	!-- 3D-tendency arrays
357	ALLOCATE( tend_pt(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
358	tend_q(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
359
360	IF ( precipitation ) THEN
361	!
362	!-- 1D-arrays
363	ALLOCATE ( nr_1d(nzb:nzt+1), qr_1d(nzb:nzt+1) )
364	!
365	!
366	!-- 3D-tendency arrays
367	ALLOCATE( tend_nr(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
368	tend_qr(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
369	!
370	!-- 2D-rain water content and rain drop concentration arrays
371	ALLOCATE ( qrs(nysg:nyng,nxlg:nxrg), &
372	qrsws(nysg:nyng,nxlg:nxrg), &
373	qrswst(nysg:nyng,nxlg:nxrg), &
374	nrs(nysg:nyng,nxlg:nxrg), &
375	nrsws(nysg:nyng,nxlg:nxrg), &
376	nrswst(nysg:nyng,nxlg:nxrg) )
377	!
378	!-- 3D-rain water content, rain drop concentration arrays
379	#if defined( __nopointer )
380	ALLOCATE( nr(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
381	nr_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
382	qr(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
383	qr_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
384	tnr_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
385	tqr_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
386	#else
387	ALLOCATE( nr_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
388	nr_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
389	nr_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
390	qr_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
391	qr_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
392	qr_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
393	#endif
394	!
395	!-- 3d-precipitation rate
396	ALLOCATE( prr(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
397	ENDIF
398
399	ENDIF
400	ENDIF
401
402	IF ( cloud_droplets ) THEN
403	!
404	!-- Liquid water content, change in liquid water content
405	#if defined( __nopointer )
406	ALLOCATE ( ql(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
407	ql_c(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
408	#else
409	ALLOCATE ( ql_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
410	ql_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
411	#endif
412	!
413	!-- Real volume of particles (with weighting), volume of particles
414	ALLOCATE ( ql_v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
415	ql_vp(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
416	ENDIF
417
418	ENDIF
419
420	ENDIF
421
422	IF ( ocean ) THEN
423	ALLOCATE( saswsb(nysg:nyng,nxlg:nxrg), &
424	saswst(nysg:nyng,nxlg:nxrg) )
425	#if defined( __nopointer )
426	ALLOCATE( prho(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
427	rho(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
428	sa(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
429	sa_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
430	tsa_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
431	#else
432	ALLOCATE( prho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
433	rho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
434	sa_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
435	sa_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
436	sa_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
437	prho => prho_1
438	rho => rho_1 ! routines calc_mean_profile and diffusion_e require
439	! density to be apointer
440	#endif
441	IF ( humidity_remote ) THEN
442	ALLOCATE( qswst_remote(nysg:nyng,nxlg:nxrg))
443	qswst_remote = 0.0
444	ENDIF
445	ENDIF
446
447	!
448	!-- 3D-array for storing the dissipation, needed for calculating the sgs
449	!-- particle velocities
450	IF ( use_sgs_for_particles .OR. wang_kernel .OR. turbulence .OR. &
451	num_acc_per_node > 0 ) THEN
452	ALLOCATE( diss(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
453	ENDIF
454
455	IF ( dt_dosp /= 9999999.9 ) THEN
456	ALLOCATE( spectrum_x( 1:nx/2, 1:10, 1:10 ), &
457	spectrum_y( 1:ny/2, 1:10, 1:10 ) )
458	spectrum_x = 0.0
459	spectrum_y = 0.0
460	ENDIF
461
462	!
463	!-- 1D-array for large scale subsidence velocity
464	ALLOCATE ( w_subs(nzb:nzt+1) )
465	w_subs = 0.0
466
467
468	!
469	!-- 3D-arrays for the leaf area density and the canopy drag coefficient
470	IF ( plant_canopy ) THEN
471	ALLOCATE ( lad_s(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
472	lad_u(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
473	lad_v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
474	lad_w(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
475	cdc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
476
477	IF ( passive_scalar ) THEN
478	ALLOCATE ( sls(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
479	sec(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
480	ENDIF
481
482	IF ( cthf /= 0.0 ) THEN
483	ALLOCATE ( lai(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
484	canopy_heat_flux(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
485	ENDIF
486
487	ENDIF
488
489	!
490	!-- 4D-array for storing the Rif-values at vertical walls
491	IF ( topography /= 'flat' ) THEN
492	ALLOCATE( rif_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg,1:4) )
493	rif_wall = 0.0
494	ENDIF
495
496	!
497	!-- Arrays to store velocity data from t-dt and the phase speeds which
498	!-- are needed for radiation boundary conditions
499	IF ( outflow_l ) THEN
500	ALLOCATE( u_m_l(nzb:nzt+1,nysg:nyng,1:2), &
501	v_m_l(nzb:nzt+1,nysg:nyng,0:1), &
502	w_m_l(nzb:nzt+1,nysg:nyng,0:1) )
503	ENDIF
504	IF ( outflow_r ) THEN
505	ALLOCATE( u_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
506	v_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
507	w_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx) )
508	ENDIF
509	IF ( outflow_l .OR. outflow_r ) THEN
510	ALLOCATE( c_u(nzb:nzt+1,nysg:nyng), c_v(nzb:nzt+1,nysg:nyng), &
511	c_w(nzb:nzt+1,nysg:nyng) )
512	ENDIF
513	IF ( outflow_s ) THEN
514	ALLOCATE( u_m_s(nzb:nzt+1,0:1,nxlg:nxrg), &
515	v_m_s(nzb:nzt+1,1:2,nxlg:nxrg), &
516	w_m_s(nzb:nzt+1,0:1,nxlg:nxrg) )
517	ENDIF
518	IF ( outflow_n ) THEN
519	ALLOCATE( u_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
520	v_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
521	w_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg) )
522	ENDIF
523	IF ( outflow_s .OR. outflow_n ) THEN
524	ALLOCATE( c_u(nzb:nzt+1,nxlg:nxrg), c_v(nzb:nzt+1,nxlg:nxrg), &
525	c_w(nzb:nzt+1,nxlg:nxrg) )
526	ENDIF
527	IF ( outflow_l .OR. outflow_r .OR. outflow_s .OR. outflow_n ) THEN
528	ALLOCATE( c_u_m_l(nzb:nzt+1), c_v_m_l(nzb:nzt+1), c_w_m_l(nzb:nzt+1) )
529	ALLOCATE( c_u_m(nzb:nzt+1), c_v_m(nzb:nzt+1), c_w_m(nzb:nzt+1) )
530	ENDIF
531
532
533	#if ! defined( __nopointer )
534	!
535	!-- Initial assignment of the pointers
536	e => e_1; e_p => e_2; te_m => e_3
537	IF ( .NOT. neutral ) THEN
538	pt => pt_1; pt_p => pt_2; tpt_m => pt_3
539	ELSE
540	pt => pt_1; pt_p => pt_1; tpt_m => pt_3
541	ENDIF
542	u => u_1; u_p => u_2; tu_m => u_3
543	v => v_1; v_p => v_2; tv_m => v_3
544	w => w_1; w_p => w_2; tw_m => w_3
545
546	IF ( humidity .OR. passive_scalar ) THEN
547	q => q_1; q_p => q_2; tq_m => q_3
548	IF ( humidity ) THEN
549	vpt => vpt_1
550	IF ( cloud_physics ) THEN
551	ql => ql_1
552	IF ( icloud_scheme == 0 ) THEN
553	qc => qc_1
554	IF ( precipitation ) THEN
555	qr => qr_1; qr_p => qr_2; tqr_m => qr_3
556	nr => nr_1; nr_p => nr_2; tnr_m => nr_3
557	ENDIF
558	ENDIF
559	ENDIF
560	ENDIF
561	IF ( cloud_droplets ) THEN
562	ql => ql_1
563	ql_c => ql_2
564	ENDIF
565	ENDIF
566
567	IF ( ocean ) THEN
568	sa => sa_1; sa_p => sa_2; tsa_m => sa_3
569	ENDIF
570	#endif
571
572	!
573	!-- Allocate arrays containing the RK coefficient for calculation of
574	!-- perturbation pressure and turbulent fluxes. At this point values are
575	!-- set for pressure calculation during initialization (where no timestep
576	!-- is done). Further below the values needed within the timestep scheme
577	!-- will be set.
578	ALLOCATE( weight_substep(1:intermediate_timestep_count_max), &
579	weight_pres(1:intermediate_timestep_count_max) )
580	weight_substep = 1.0
581	weight_pres = 1.0
582	intermediate_timestep_count = 1 ! needed when simulated_time = 0.0
583
584	!
585	!-- Initialize model variables
586	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
587	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
588	!
589	!-- First model run of a possible job queue.
590	!-- Initial profiles of the variables must be computes.
591	IF ( INDEX( initializing_actions, 'set_1d-model_profiles' ) /= 0 ) THEN
592	!
593	!-- Use solutions of the 1D model as initial profiles,
594	!-- start 1D model
595	CALL init_1d_model
596	!
597	!-- Transfer initial profiles to the arrays of the 3D model
598	DO i = nxlg, nxrg
599	DO j = nysg, nyng
600	e(:,j,i) = e1d
601	kh(:,j,i) = kh1d
602	km(:,j,i) = km1d
603	pt(:,j,i) = pt_init
604	u(:,j,i) = u1d
605	v(:,j,i) = v1d
606	ENDDO
607	ENDDO
608
609	IF ( humidity .OR. passive_scalar ) THEN
610	DO i = nxlg, nxrg
611	DO j = nysg, nyng
612	q(:,j,i) = q_init
613	ENDDO
614	ENDDO
615	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
616	precipitation ) THEN
617	DO i = nxlg, nxrg
618	DO j = nysg, nyng
619	qr(:,j,i) = 0.0
620	nr(:,j,i) = 0.0
621	ENDDO
622	ENDDO
623	!
624	!-- Initialze nc_1d with default value
625	nc_1d(:) = nc_const
626
627	ENDIF
628	ENDIF
629
630	IF ( .NOT. constant_diffusion ) THEN
631	DO i = nxlg, nxrg
632	DO j = nysg, nyng
633	e(:,j,i) = e1d
634	ENDDO
635	ENDDO
636	!
637	!-- Store initial profiles for output purposes etc.
638	hom(:,1,25,:) = SPREAD( l1d, 2, statistic_regions+1 )
639
640	IF ( prandtl_layer ) THEN
641	rif = rif1d(nzb+1)
642	ts = 0.0 ! could actually be computed more accurately in the
643	! 1D model. Update when opportunity arises.
644	us = us1d
645	usws = usws1d
646	vsws = vsws1d
647	ELSE
648	ts = 0.0 ! must be set, because used in
649	rif = 0.0 ! flowste
650	us = 0.0
651	usws = 0.0
652	vsws = 0.0
653	ENDIF
654
655	ELSE
656	e = 0.0 ! must be set, because used in
657	rif = 0.0 ! flowste
658	ts = 0.0
659	us = 0.0
660	usws = 0.0
661	vsws = 0.0
662	ENDIF
663	uswst = top_momentumflux_u
664	vswst = top_momentumflux_v
665
666	!
667	!-- In every case qs = 0.0 (see also pt)
668	!-- This could actually be computed more accurately in the 1D model.
669	!-- Update when opportunity arises!
670	IF ( humidity .OR. passive_scalar ) THEN
671	qs = 0.0
672	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
673	precipitation ) THEN
674	qrs = 0.0
675	nrs = 0.0
676	ENDIF
677	ENDIF
678
679	!
680	!-- inside buildings set velocities back to zero
681	IF ( topography /= 'flat' ) THEN
682	DO i = nxl-1, nxr+1
683	DO j = nys-1, nyn+1
684	u(nzb:nzb_u_inner(j,i),j,i) = 0.0
685	v(nzb:nzb_v_inner(j,i),j,i) = 0.0
686	ENDDO
687	ENDDO
688
689	!
690	!-- WARNING: The extra boundary conditions set after running the
691	!-- ------- 1D model impose an error on the divergence one layer
692	!-- below the topography; need to correct later
693	!-- ATTENTION: Provisional correction for Piacsek & Williams
694	!-- --------- advection scheme: keep u and v zero one layer below
695	!-- the topography.
696	IF ( ibc_uv_b == 1 ) THEN
697	!
698	!-- Neumann condition
699	DO i = nxl-1, nxr+1
700	DO j = nys-1, nyn+1
701	IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = u(1,j,i)
702	IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = v(1,j,i)
703	ENDDO
704	ENDDO
705
706	ENDIF
707
708	ENDIF
709
710	ELSEIF ( INDEX(initializing_actions, 'set_constant_profiles') /= 0 ) &
711	THEN
712
713	!
714	!-- Overwrite initial profiles in case of nudging
715	IF ( nudging ) THEN
716	pt_init = ptnudge(:,1)
717	u_init = unudge(:,1)
718	v_init = vnudge(:,1)
719	IF ( humidity .OR. passive_scalar ) THEN
720	q_init = qnudge(:,1)
721	ENDIF
722
723	WRITE( message_string, * ) 'Initial profiles of u, v and ', &
724	'scalars from NUDGING_DATA are used.'
725	CALL message( 'init_3d_model', 'PA0370', 0, 0, 0, 6, 0 )
726	ENDIF
727
728	!
729	!-- Use constructed initial profiles (velocity constant with height,
730	!-- temperature profile with constant gradient)
731	DO i = nxlg, nxrg
732	DO j = nysg, nyng
733	pt(:,j,i) = pt_init
734	u(:,j,i) = u_init
735	v(:,j,i) = v_init
736	ENDDO
737	ENDDO
738
739	!
740	!-- Set initial horizontal velocities at the lowest computational grid
741	!-- levels to zero in order to avoid too small time steps caused by the
742	!-- diffusion limit in the initial phase of a run (at k=1, dz/2 occurs
743	!-- in the limiting formula!). The original values are stored to be later
744	!-- used for volume flow control.
745	DO i = nxlg, nxrg
746	DO j = nysg, nyng
747	u(nzb:nzb_u_inner(j,i)+1,j,i) = 0.0
748	v(nzb:nzb_v_inner(j,i)+1,j,i) = 0.0
749	ENDDO
750	ENDDO
751
752	IF ( humidity .OR. passive_scalar ) THEN
753	DO i = nxlg, nxrg
754	DO j = nysg, nyng
755	q(:,j,i) = q_init
756	ENDDO
757	ENDDO
758	IF ( cloud_physics .AND. icloud_scheme == 0 ) THEN
759	!
760	!-- Initialze nc_1d with default value
761	nc_1d(:) = nc_const
762
763	IF ( precipitation ) THEN
764	DO i = nxlg, nxrg
765	DO j = nysg, nyng
766	qr(:,j,i) = 0.0
767	nr(:,j,i) = 0.0
768	ENDDO
769	ENDDO
770	ENDIF
771
772	ENDIF
773	ENDIF
774
775	IF ( ocean ) THEN
776	DO i = nxlg, nxrg
777	DO j = nysg, nyng
778	sa(:,j,i) = sa_init
779	ENDDO
780	ENDDO
781	ENDIF
782
783	IF ( constant_diffusion ) THEN
784	km = km_constant
785	kh = km / prandtl_number
786	e = 0.0
787	ELSEIF ( e_init > 0.0 ) THEN
788	DO k = nzb+1, nzt
789	km(k,:,:) = 0.1 * l_grid(k) * SQRT( e_init )
790	ENDDO
791	km(nzb,:,:) = km(nzb+1,:,:)
792	km(nzt+1,:,:) = km(nzt,:,:)
793	kh = km / prandtl_number
794	e = e_init
795	ELSE
796	IF ( .NOT. ocean ) THEN
797	kh = 0.01 ! there must exist an initial diffusion, because
798	km = 0.01 ! otherwise no TKE would be produced by the
799	! production terms, as long as not yet
800	! e = (u/cm)*2 at k=nzb+1
801	ELSE
802	kh = 0.00001
803	km = 0.00001
804	ENDIF
805	e = 0.0
806	ENDIF
807	rif = 0.0
808	ts = 0.0
809	us = 0.0
810	usws = 0.0
811	uswst = top_momentumflux_u
812	vsws = 0.0
813	vswst = top_momentumflux_v
814	IF ( humidity .OR. passive_scalar ) qs = 0.0
815
816	!
817	!-- Compute initial temperature field and other constants used in case
818	!-- of a sloping surface
819	IF ( sloping_surface ) CALL init_slope
820
821	ELSEIF ( INDEX(initializing_actions, 'by_user') /= 0 ) &
822	THEN
823	!
824	!-- Initialization will completely be done by the user
825	CALL user_init_3d_model
826
827	ENDIF
828	!
829	!-- Bottom boundary
830	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
831	u(nzb,:,:) = 0.0
832	v(nzb,:,:) = 0.0
833	ENDIF
834
835	!
836	!-- Apply channel flow boundary condition
837	IF ( TRIM( bc_uv_t ) == 'dirichlet_0' ) THEN
838	u(nzt+1,:,:) = 0.0
839	v(nzt+1,:,:) = 0.0
840	ENDIF
841
842	!
843	!-- Calculate virtual potential temperature
844	IF ( humidity ) vpt = pt * ( 1.0 + 0.61 * q )
845
846	!
847	!-- Store initial profiles for output purposes etc.
848	hom(:,1,5,:) = SPREAD( u(:,nys,nxl), 2, statistic_regions+1 )
849	hom(:,1,6,:) = SPREAD( v(:,nys,nxl), 2, statistic_regions+1 )
850	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2) THEN
851	hom(nzb,1,5,:) = 0.0
852	hom(nzb,1,6,:) = 0.0
853	ENDIF
854	hom(:,1,7,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
855	hom(:,1,23,:) = SPREAD( km(:,nys,nxl), 2, statistic_regions+1 )
856	hom(:,1,24,:) = SPREAD( kh(:,nys,nxl), 2, statistic_regions+1 )
857
858	IF ( ocean ) THEN
859	!
860	!-- Store initial salinity profile
861	hom(:,1,26,:) = SPREAD( sa(:,nys,nxl), 2, statistic_regions+1 )
862	ENDIF
863
864	IF ( humidity ) THEN
865	!
866	!-- Store initial profile of total water content, virtual potential
867	!-- temperature
868	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
869	hom(:,1,29,:) = SPREAD( vpt(:,nys,nxl), 2, statistic_regions+1 )
870	IF ( cloud_physics .OR. cloud_droplets ) THEN
871	!
872	!-- Store initial profile of specific humidity and potential
873	!-- temperature
874	hom(:,1,27,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
875	hom(:,1,28,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
876	ENDIF
877	ENDIF
878
879	IF ( passive_scalar ) THEN
880	!
881	!-- Store initial scalar profile
882	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
883	ENDIF
884
885	!
886	!-- Initialize fluxes at bottom surface
887	IF ( use_surface_fluxes ) THEN
888
889	IF ( constant_heatflux ) THEN
890	!
891	!-- Heat flux is prescribed
892	IF ( random_heatflux ) THEN
893	CALL disturb_heatflux
894	ELSE
895	shf = surface_heatflux
896	!
897	!-- Initialize shf with data from external file LSF_DATA
898	IF ( large_scale_forcing .AND. lsf_surf ) THEN
899	CALL ls_forcing_surf ( simulated_time )
900	ENDIF
901
902	!
903	!-- Over topography surface_heatflux is replaced by wall_heatflux(0)
904	IF ( TRIM( topography ) /= 'flat' ) THEN
905	DO i = nxlg, nxrg
906	DO j = nysg, nyng
907	IF ( nzb_s_inner(j,i) /= 0 ) THEN
908	shf(j,i) = wall_heatflux(0)
909	ENDIF
910	ENDDO
911	ENDDO
912	ENDIF
913	ENDIF
914	ENDIF
915
916	!
917	!-- Determine the near-surface water flux
918	IF ( humidity .OR. passive_scalar ) THEN
919	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
920	precipitation ) THEN
921	qrsws = 0.0
922	nrsws = 0.0
923	ENDIF
924	IF ( constant_waterflux ) THEN
925	qsws = surface_waterflux
926	!
927	!-- Over topography surface_waterflux is replaced by
928	!-- wall_humidityflux(0)
929	IF ( TRIM( topography ) /= 'flat' ) THEN
930	wall_qflux = wall_humidityflux
931	DO i = nxlg, nxrg
932	DO j = nysg, nyng
933	IF ( nzb_s_inner(j,i) /= 0 ) THEN
934	qsws(j,i) = wall_qflux(0)
935	ENDIF
936	ENDDO
937	ENDDO
938	ENDIF
939	ENDIF
940	ENDIF
941
942	ENDIF
943
944	!
945	!-- Initialize fluxes at top surface
946	!-- Currently, only the heatflux and salinity flux can be prescribed.
947	!-- The latent flux is zero in this case!
948	IF ( use_top_fluxes ) THEN
949
950	IF ( constant_top_heatflux ) THEN
951	!
952	!-- Heat flux is prescribed
953	tswst = top_heatflux
954
955	IF ( humidity .OR. passive_scalar ) THEN
956	qswst = 0.0
957	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
958	precipitation ) THEN
959	nrswst = 0.0
960	qrswst = 0.0
961	ENDIF
962	ENDIF
963
964	IF ( ocean ) THEN
965	saswsb = bottom_salinityflux
966	saswst = top_salinityflux
967	ENDIF
968	ENDIF
969
970	!
971	!-- Initialization in case of a coupled model run
972	IF ( coupling_mode == 'ocean_to_atmosphere' ) THEN
973	tswst = 0.0
974	ENDIF
975
976	ENDIF
977
978	!
979	!-- Initialize Prandtl layer quantities
980	IF ( prandtl_layer ) THEN
981
982	z0 = roughness_length
983	z0h = z0h_factor * z0
984
985	IF ( .NOT. constant_heatflux ) THEN
986	!
987	!-- Surface temperature is prescribed. Here the heat flux cannot be
988	!-- simply estimated, because therefore rif, u* and theta* would have
989	!-- to be computed by iteration. This is why the heat flux is assumed
990	!-- to be zero before the first time step. It approaches its correct
991	!-- value in the course of the first few time steps.
992	shf = 0.0
993	ENDIF
994
995	IF ( humidity .OR. passive_scalar ) THEN
996	IF ( .NOT. constant_waterflux ) qsws = 0.0
997	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
998	precipitation ) THEN
999	qrsws = 0.0
1000	nrsws = 0.0
1001	ENDIF
1002	ENDIF
1003
1004	ENDIF
1005
1006	!
1007	!-- Set the reference state to be used in the buoyancy terms (for ocean runs
1008	!-- the reference state will be set (overwritten) in init_ocean)
1009	IF ( use_single_reference_value ) THEN
1010	IF ( .NOT. humidity ) THEN
1011	ref_state(:) = pt_reference
1012	ELSE
1013	ref_state(:) = vpt_reference
1014	ENDIF
1015	ELSE
1016	IF ( .NOT. humidity ) THEN
1017	ref_state(:) = pt_init(:)
1018	ELSE
1019	ref_state(:) = vpt(:,nys,nxl)
1020	ENDIF
1021	ENDIF
1022
1023	!
1024	!-- For the moment, vertical velocity is zero
1025	w = 0.0
1026
1027	!
1028	!-- Initialize array sums (must be defined in first call of pres)
1029	sums = 0.0
1030
1031	!
1032	!-- In case of iterative solvers, p must get an initial value
1033	IF ( psolver == 'multigrid' .OR. psolver == 'sor' ) p = 0.0
1034
1035	!
1036	!-- Treating cloud physics, liquid water content and precipitation amount
1037	!-- are zero at beginning of the simulation
1038	IF ( cloud_physics ) THEN
1039	ql = 0.0
1040	IF ( precipitation ) precipitation_amount = 0.0
1041	IF ( icloud_scheme == 0 ) THEN
1042	qc = 0.0
1043	nc_1d = nc_const
1044	ENDIF
1045	ENDIF
1046	!
1047	!-- Impose vortex with vertical axis on the initial velocity profile
1048	IF ( INDEX( initializing_actions, 'initialize_vortex' ) /= 0 ) THEN
1049	CALL init_rankine
1050	ENDIF
1051
1052	!
1053	!-- Impose temperature anomaly (advection test only)
1054	IF ( INDEX( initializing_actions, 'initialize_ptanom' ) /= 0 ) THEN
1055	CALL init_pt_anomaly
1056	ENDIF
1057
1058	!
1059	!-- If required, change the surface temperature at the start of the 3D run
1060	IF ( pt_surface_initial_change /= 0.0 ) THEN
1061	pt(nzb,:,:) = pt(nzb,:,:) + pt_surface_initial_change
1062	ENDIF
1063
1064	!
1065	!-- If required, change the surface humidity/scalar at the start of the 3D
1066	!-- run
1067	IF ( ( humidity .OR. passive_scalar ) .AND. &
1068	q_surface_initial_change /= 0.0 ) THEN
1069	q(nzb,:,:) = q(nzb,:,:) + q_surface_initial_change
1070	ENDIF
1071	!
1072	!-- Initialize the random number generator (from numerical recipes)
1073	CALL random_function_ini
1074
1075	!
1076	!-- Initialize old and new time levels.
1077	te_m = 0.0; tpt_m = 0.0; tu_m = 0.0; tv_m = 0.0; tw_m = 0.0
1078	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
1079
1080	IF ( humidity .OR. passive_scalar ) THEN
1081	tq_m = 0.0
1082	q_p = q
1083	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
1084	precipitation ) THEN
1085	tqr_m = 0.0
1086	qr_p = qr
1087	tnr_m = 0.0
1088	nr_p = nr
1089	ENDIF
1090	ENDIF
1091
1092	IF ( ocean ) THEN
1093	tsa_m = 0.0
1094	sa_p = sa
1095	ENDIF
1096
1097
1098	ELSEIF ( TRIM( initializing_actions ) == 'read_restart_data' .OR. &
1099	TRIM( initializing_actions ) == 'cyclic_fill' ) &
1100	THEN
1101	!
1102	!-- When reading data for cyclic fill of 3D prerun data files, read
1103	!-- some of the global variables from the restart file which are required
1104	!-- for initializing the inflow
1105	IF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
1106
1107	DO i = 0, io_blocks-1
1108	IF ( i == io_group ) THEN
1109	CALL read_parts_of_var_list
1110	CALL close_file( 13 )
1111	ENDIF
1112	#if defined( __parallel )
1113	CALL MPI_BARRIER( comm2d, ierr )
1114	#endif
1115	ENDDO
1116
1117	ENDIF
1118
1119	!
1120	!-- Read binary data from restart file
1121	DO i = 0, io_blocks-1
1122	IF ( i == io_group ) THEN
1123	CALL read_3d_binary
1124	ENDIF
1125	#if defined( __parallel )
1126	CALL MPI_BARRIER( comm2d, ierr )
1127	#endif
1128	ENDDO
1129
1130	!
1131	!-- Initialization of the turbulence recycling method
1132	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. &
1133	turbulent_inflow ) THEN
1134	!
1135	!-- First store the profiles to be used at the inflow.
1136	!-- These profiles are the (temporally) and horizontally averaged vertical
1137	!-- profiles from the prerun. Alternatively, prescribed profiles
1138	!-- for u,v-components can be used.
1139	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
1140
1141	IF ( use_prescribed_profile_data ) THEN
1142	mean_inflow_profiles(:,1) = u_init ! u
1143	mean_inflow_profiles(:,2) = v_init ! v
1144	ELSE
1145	mean_inflow_profiles(:,1) = hom_sum(:,1,0) ! u
1146	mean_inflow_profiles(:,2) = hom_sum(:,2,0) ! v
1147	ENDIF
1148	mean_inflow_profiles(:,4) = hom_sum(:,4,0) ! pt
1149	mean_inflow_profiles(:,5) = hom_sum(:,8,0) ! e
1150
1151	!
1152	!-- If necessary, adjust the horizontal flow field to the prescribed
1153	!-- profiles
1154	IF ( use_prescribed_profile_data ) THEN
1155	DO i = nxlg, nxrg
1156	DO j = nysg, nyng
1157	DO k = nzb, nzt+1
1158	u(k,j,i) = u(k,j,i) - hom_sum(k,1,0) + u_init(k)
1159	v(k,j,i) = v(k,j,i) - hom_sum(k,2,0) + v_init(k)
1160	ENDDO
1161	ENDDO
1162	ENDDO
1163	ENDIF
1164
1165	!
1166	!-- Use these mean profiles at the inflow (provided that Dirichlet
1167	!-- conditions are used)
1168	IF ( inflow_l ) THEN
1169	DO j = nysg, nyng
1170	DO k = nzb, nzt+1
1171	u(k,j,nxlg:-1) = mean_inflow_profiles(k,1)
1172	v(k,j,nxlg:-1) = mean_inflow_profiles(k,2)
1173	w(k,j,nxlg:-1) = 0.0
1174	pt(k,j,nxlg:-1) = mean_inflow_profiles(k,4)
1175	e(k,j,nxlg:-1) = mean_inflow_profiles(k,5)
1176	ENDDO
1177	ENDDO
1178	ENDIF
1179
1180	!
1181	!-- Calculate the damping factors to be used at the inflow. For a
1182	!-- turbulent inflow the turbulent fluctuations have to be limited
1183	!-- vertically because otherwise the turbulent inflow layer will grow
1184	!-- in time.
1185	IF ( inflow_damping_height == 9999999.9 ) THEN
1186	!
1187	!-- Default: use the inversion height calculated by the prerun; if
1188	!-- this is zero, inflow_damping_height must be explicitly
1189	!-- specified.
1190	IF ( hom_sum(nzb+6,pr_palm,0) /= 0.0 ) THEN
1191	inflow_damping_height = hom_sum(nzb+6,pr_palm,0)
1192	ELSE
1193	WRITE( message_string, * ) 'inflow_damping_height must be ',&
1194	'explicitly specified because&the inversion height ', &
1195	'calculated by the prerun is zero.'
1196	CALL message( 'init_3d_model', 'PA0318', 1, 2, 0, 6, 0 )
1197	ENDIF
1198
1199	ENDIF
1200
1201	IF ( inflow_damping_width == 9999999.9 ) THEN
1202	!
1203	!-- Default for the transition range: one tenth of the undamped
1204	!-- layer
1205	inflow_damping_width = 0.1 * inflow_damping_height
1206
1207	ENDIF
1208
1209	ALLOCATE( inflow_damping_factor(nzb:nzt+1) )
1210
1211	DO k = nzb, nzt+1
1212
1213	IF ( zu(k) <= inflow_damping_height ) THEN
1214	inflow_damping_factor(k) = 1.0
1215	ELSEIF ( zu(k) <= ( inflow_damping_height + inflow_damping_width ) ) THEN
1216	inflow_damping_factor(k) = 1.0 - &
1217	( zu(k) - inflow_damping_height ) / &
1218	inflow_damping_width
1219	ELSE
1220	inflow_damping_factor(k) = 0.0
1221	ENDIF
1222
1223	ENDDO
1224
1225	ENDIF
1226
1227	!
1228	!-- Inside buildings set velocities and TKE back to zero
1229	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. &
1230	topography /= 'flat' ) THEN
1231	!
1232	!-- Inside buildings set velocities and TKE back to zero.
1233	!-- Other scalars (pt, q, s, km, kh, p, sa, ...) are ignored at present,
1234	!-- maybe revise later.
1235	DO i = nxlg, nxrg
1236	DO j = nysg, nyng
1237	u (nzb:nzb_u_inner(j,i),j,i) = 0.0
1238	v (nzb:nzb_v_inner(j,i),j,i) = 0.0
1239	w (nzb:nzb_w_inner(j,i),j,i) = 0.0
1240	e (nzb:nzb_w_inner(j,i),j,i) = 0.0
1241	tu_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1242	tv_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1243	tw_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1244	te_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1245	tpt_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1246	ENDDO
1247	ENDDO
1248
1249	ENDIF
1250
1251	!
1252	!-- Calculate initial temperature field and other constants used in case
1253	!-- of a sloping surface
1254	IF ( sloping_surface ) CALL init_slope
1255
1256	!
1257	!-- Initialize new time levels (only done in order to set boundary values
1258	!-- including ghost points)
1259	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
1260	IF ( humidity .OR. passive_scalar ) THEN
1261	q_p = q
1262	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
1263	precipitation ) THEN
1264	qr_p = qr
1265	nr_p = nr
1266	ENDIF
1267	ENDIF
1268	IF ( ocean ) sa_p = sa
1269
1270	!
1271	!-- Allthough tendency arrays are set in prognostic_equations, they have
1272	!-- have to be predefined here because they are used (but multiplied with 0)
1273	!-- there before they are set.
1274	te_m = 0.0; tpt_m = 0.0; tu_m = 0.0; tv_m = 0.0; tw_m = 0.0
1275	IF ( humidity .OR. passive_scalar ) THEN
1276	tq_m = 0.0
1277	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
1278	precipitation ) THEN
1279	tqr_m = 0.0
1280	tnr_m = 0.0
1281	ENDIF
1282	ENDIF
1283	IF ( ocean ) tsa_m = 0.0
1284
1285	ELSE
1286	!
1287	!-- Actually this part of the programm should not be reached
1288	message_string = 'unknown initializing problem'
1289	CALL message( 'init_3d_model', 'PA0193', 1, 2, 0, 6, 0 )
1290	ENDIF
1291
1292
1293	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1294	!
1295	!-- Initialize old timelevels needed for radiation boundary conditions
1296	IF ( outflow_l ) THEN
1297	u_m_l(:,:,:) = u(:,:,1:2)
1298	v_m_l(:,:,:) = v(:,:,0:1)
1299	w_m_l(:,:,:) = w(:,:,0:1)
1300	ENDIF
1301	IF ( outflow_r ) THEN
1302	u_m_r(:,:,:) = u(:,:,nx-1:nx)
1303	v_m_r(:,:,:) = v(:,:,nx-1:nx)
1304	w_m_r(:,:,:) = w(:,:,nx-1:nx)
1305	ENDIF
1306	IF ( outflow_s ) THEN
1307	u_m_s(:,:,:) = u(:,0:1,:)
1308	v_m_s(:,:,:) = v(:,1:2,:)
1309	w_m_s(:,:,:) = w(:,0:1,:)
1310	ENDIF
1311	IF ( outflow_n ) THEN
1312	u_m_n(:,:,:) = u(:,ny-1:ny,:)
1313	v_m_n(:,:,:) = v(:,ny-1:ny,:)
1314	w_m_n(:,:,:) = w(:,ny-1:ny,:)
1315	ENDIF
1316
1317	ENDIF
1318
1319	!
1320	!-- Calculate the initial volume flow at the right and north boundary
1321	IF ( conserve_volume_flow ) THEN
1322
1323	IF ( use_prescribed_profile_data ) THEN
1324
1325	volume_flow_initial_l = 0.0
1326	volume_flow_area_l = 0.0
1327
1328	IF ( nxr == nx ) THEN
1329	DO j = nys, nyn
1330	DO k = nzb_2d(j,nx)+1, nzt
1331	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1332	u_init(k) * dzw(k)
1333	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1334	ENDDO
1335	ENDDO
1336	ENDIF
1337
1338	IF ( nyn == ny ) THEN
1339	DO i = nxl, nxr
1340	DO k = nzb_2d(ny,i)+1, nzt
1341	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1342	v_init(k) * dzw(k)
1343	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1344	ENDDO
1345	ENDDO
1346	ENDIF
1347
1348	#if defined( __parallel )
1349	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1350	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1351	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1352	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1353
1354	#else
1355	volume_flow_initial = volume_flow_initial_l
1356	volume_flow_area = volume_flow_area_l
1357	#endif
1358
1359	ELSEIF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
1360
1361	volume_flow_initial_l = 0.0
1362	volume_flow_area_l = 0.0
1363
1364	IF ( nxr == nx ) THEN
1365	DO j = nys, nyn
1366	DO k = nzb_2d(j,nx)+1, nzt
1367	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1368	hom_sum(k,1,0) * dzw(k)
1369	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1370	ENDDO
1371	ENDDO
1372	ENDIF
1373
1374	IF ( nyn == ny ) THEN
1375	DO i = nxl, nxr
1376	DO k = nzb_2d(ny,i)+1, nzt
1377	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1378	hom_sum(k,2,0) * dzw(k)
1379	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1380	ENDDO
1381	ENDDO
1382	ENDIF
1383
1384	#if defined( __parallel )
1385	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1386	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1387	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1388	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1389
1390	#else
1391	volume_flow_initial = volume_flow_initial_l
1392	volume_flow_area = volume_flow_area_l
1393	#endif
1394
1395	ELSEIF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1396
1397	volume_flow_initial_l = 0.0
1398	volume_flow_area_l = 0.0
1399
1400	IF ( nxr == nx ) THEN
1401	DO j = nys, nyn
1402	DO k = nzb_2d(j,nx)+1, nzt
1403	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1404	u(k,j,nx) * dzw(k)
1405	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1406	ENDDO
1407	ENDDO
1408	ENDIF
1409
1410	IF ( nyn == ny ) THEN
1411	DO i = nxl, nxr
1412	DO k = nzb_2d(ny,i)+1, nzt
1413	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1414	v(k,ny,i) * dzw(k)
1415	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1416	ENDDO
1417	ENDDO
1418	ENDIF
1419
1420	#if defined( __parallel )
1421	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1422	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1423	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1424	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1425
1426	#else
1427	volume_flow_initial = volume_flow_initial_l
1428	volume_flow_area = volume_flow_area_l
1429	#endif
1430
1431	ENDIF
1432
1433	!
1434	!-- In case of 'bulk_velocity' mode, volume_flow_initial is calculated
1435	!-- from u\|v_bulk instead
1436	IF ( TRIM( conserve_volume_flow_mode ) == 'bulk_velocity' ) THEN
1437	volume_flow_initial(1) = u_bulk * volume_flow_area(1)
1438	volume_flow_initial(2) = v_bulk * volume_flow_area(2)
1439	ENDIF
1440
1441	ENDIF
1442
1443	!
1444	!-- Initialize quantities for special advections schemes
1445	CALL init_advec
1446
1447	!
1448	!-- Impose random perturbation on the horizontal velocity field and then
1449	!-- remove the divergences from the velocity field at the initial stage
1450	IF ( create_disturbances .AND. &
1451	TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
1452	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
1453
1454	CALL disturb_field( nzb_u_inner, tend, u )
1455	CALL disturb_field( nzb_v_inner, tend, v )
1456	n_sor = nsor_ini
1457	!$acc data copyin( d, ddzu, ddzw, nzb_s_inner, nzb_u_inner ) &
1458	!$acc copyin( nzb_v_inner, nzb_w_inner, p, rflags_s_inner, tend ) &
1459	!$acc copyin( weight_pres, weight_substep ) &
1460	!$acc copy( tri, tric, u, v, w )
1461	CALL pres
1462	!$acc end data
1463	n_sor = nsor
1464	ENDIF
1465
1466	!
1467	!-- Initialization of the leaf area density
1468	IF ( plant_canopy ) THEN
1469
1470	SELECT CASE ( TRIM( canopy_mode ) )
1471
1472	CASE( 'block' )
1473
1474	DO i = nxlg, nxrg
1475	DO j = nysg, nyng
1476	lad_s(:,j,i) = lad(:)
1477	cdc(:,j,i) = drag_coefficient
1478	IF ( passive_scalar ) THEN
1479	sls(:,j,i) = leaf_surface_concentration
1480	sec(:,j,i) = scalar_exchange_coefficient
1481	ENDIF
1482	ENDDO
1483	ENDDO
1484
1485	CASE DEFAULT
1486
1487	!
1488	!-- The DEFAULT case is reached either if the parameter
1489	!-- canopy mode contains a wrong character string or if the
1490	!-- user has coded a special case in the user interface.
1491	!-- There, the subroutine user_init_plant_canopy checks
1492	!-- which of these two conditions applies.
1493	CALL user_init_plant_canopy
1494
1495	END SELECT
1496
1497	CALL exchange_horiz( lad_s, nbgp )
1498	CALL exchange_horiz( cdc, nbgp )
1499
1500	IF ( passive_scalar ) THEN
1501	CALL exchange_horiz( sls, nbgp )
1502	CALL exchange_horiz( sec, nbgp )
1503	ENDIF
1504
1505	!
1506	!-- Sharp boundaries of the plant canopy in horizontal directions
1507	!-- In vertical direction the interpolation is retained, as the leaf
1508	!-- area density is initialised by prescribing a vertical profile
1509	!-- consisting of piecewise linear segments. The upper boundary
1510	!-- of the plant canopy is now defined by lad_w(pch_index,:,:) = 0.0.
1511
1512	DO i = nxl, nxr
1513	DO j = nys, nyn
1514	DO k = nzb, nzt+1
1515	IF ( lad_s(k,j,i) > 0.0 ) THEN
1516	lad_u(k,j,i) = lad_s(k,j,i)
1517	lad_u(k,j,i+1) = lad_s(k,j,i)
1518	lad_v(k,j,i) = lad_s(k,j,i)
1519	lad_v(k,j+1,i) = lad_s(k,j,i)
1520	ENDIF
1521	ENDDO
1522	DO k = nzb, nzt
1523	lad_w(k,j,i) = 0.5 * ( lad_s(k+1,j,i) + lad_s(k,j,i) )
1524	ENDDO
1525	ENDDO
1526	ENDDO
1527
1528	lad_w(pch_index,:,:) = 0.0
1529	lad_w(nzt+1,:,:) = lad_w(nzt,:,:)
1530
1531	CALL exchange_horiz( lad_u, nbgp )
1532	CALL exchange_horiz( lad_v, nbgp )
1533	CALL exchange_horiz( lad_w, nbgp )
1534
1535	!
1536	!-- Initialisation of the canopy heat source distribution
1537	IF ( cthf /= 0.0 ) THEN
1538	!
1539	!-- Piecewise evaluation of the leaf area index by
1540	!-- integration of the leaf area density
1541	lai(:,:,:) = 0.0
1542	DO i = nxlg, nxrg
1543	DO j = nysg, nyng
1544	DO k = pch_index-1, 0, -1
1545	lai(k,j,i) = lai(k+1,j,i) + &
1546	( 0.5 * ( lad_w(k+1,j,i) + &
1547	lad_s(k+1,j,i) ) * &
1548	( zw(k+1) - zu(k+1) ) ) + &
1549	( 0.5 * ( lad_w(k,j,i) + &
1550	lad_s(k+1,j,i) ) * &
1551	( zu(k+1) - zw(k) ) )
1552	ENDDO
1553	ENDDO
1554	ENDDO
1555
1556	!
1557	!-- Evaluation of the upward kinematic vertical heat flux within the
1558	!-- canopy
1559	DO i = nxlg, nxrg
1560	DO j = nysg, nyng
1561	DO k = 0, pch_index
1562	canopy_heat_flux(k,j,i) = cthf * &
1563	exp( -0.6 * lai(k,j,i) )
1564	ENDDO
1565	ENDDO
1566	ENDDO
1567
1568	!
1569	!-- The near surface heat flux is derived from the heat flux
1570	!-- distribution within the canopy
1571	shf(:,:) = canopy_heat_flux(0,:,:)
1572
1573	ENDIF
1574
1575	ENDIF
1576
1577	!
1578	!-- If required, initialize dvrp-software
1579	IF ( dt_dvrp /= 9999999.9 ) CALL init_dvrp
1580
1581	IF ( ocean ) THEN
1582	!
1583	!-- Initialize quantities needed for the ocean model
1584	CALL init_ocean
1585
1586	ELSE
1587	!
1588	!-- Initialize quantities for handling cloud physics
1589	!-- This routine must be called before lpm_init, because
1590	!-- otherwise, array pt_d_t, needed in data_output_dvrp (called by
1591	!-- lpm_init) is not defined.
1592	CALL init_cloud_physics
1593	ENDIF
1594
1595	!
1596	!-- If required, initialize particles
1597	IF ( particle_advection ) CALL lpm_init
1598
1599	!
1600	!-- Initialize the ws-scheme.
1601	IF ( ws_scheme_sca .OR. ws_scheme_mom ) CALL ws_init
1602
1603	!
1604	!-- Setting weighting factors for calculation of perturbation pressure
1605	!-- and turbulent quantities from the RK substeps
1606	IF ( TRIM(timestep_scheme) == 'runge-kutta-3' ) THEN ! for RK3-method
1607
1608	weight_substep(1) = 1._wp/6._wp
1609	weight_substep(2) = 3._wp/10._wp
1610	weight_substep(3) = 8._wp/15._wp
1611
1612	weight_pres(1) = 1._wp/3._wp
1613	weight_pres(2) = 5._wp/12._wp
1614	weight_pres(3) = 1._wp/4._wp
1615
1616	ELSEIF ( TRIM(timestep_scheme) == 'runge-kutta-2' ) THEN ! for RK2-method
1617
1618	weight_substep(1) = 1._wp/2._wp
1619	weight_substep(2) = 1._wp/2._wp
1620
1621	weight_pres(1) = 1._wp/2._wp
1622	weight_pres(2) = 1._wp/2._wp
1623
1624	ELSE ! for Euler-method
1625
1626	weight_substep(1) = 1.0
1627	weight_pres(1) = 1.0
1628
1629	ENDIF
1630
1631	!
1632	!-- Initialize Rayleigh damping factors
1633	rdf = 0.0
1634	rdf_sc = 0.0
1635	IF ( rayleigh_damping_factor /= 0.0 ) THEN
1636	IF ( .NOT. ocean ) THEN
1637	DO k = nzb+1, nzt
1638	IF ( zu(k) >= rayleigh_damping_height ) THEN
1639	rdf(k) = rayleigh_damping_factor * &
1640	( SIN( pi * 0.5 * ( zu(k) - rayleigh_damping_height ) &
1641	/ ( zu(nzt) - rayleigh_damping_height ) )&
1642	)**2
1643	ENDIF
1644	ENDDO
1645	ELSE
1646	DO k = nzt, nzb+1, -1
1647	IF ( zu(k) <= rayleigh_damping_height ) THEN
1648	rdf(k) = rayleigh_damping_factor * &
1649	( SIN( pi * 0.5 * ( rayleigh_damping_height - zu(k) ) &
1650	/ ( rayleigh_damping_height - zu(nzb+1)))&
1651	)**2
1652	ENDIF
1653	ENDDO
1654	ENDIF
1655	ENDIF
1656	IF ( scalar_rayleigh_damping ) rdf_sc = rdf
1657
1658	!
1659	!-- Initialize the starting level and the vertical smoothing factor used for
1660	!-- the external pressure gradient
1661	dp_smooth_factor = 1.0
1662	IF ( dp_external ) THEN
1663	!
1664	!-- Set the starting level dp_level_ind_b only if it has not been set before
1665	!-- (e.g. in init_grid).
1666	IF ( dp_level_ind_b == 0 ) THEN
1667	ind_array = MINLOC( ABS( dp_level_b - zu ) )
1668	dp_level_ind_b = ind_array(1) - 1 + nzb
1669	! MINLOC uses lower array bound 1
1670	ENDIF
1671	IF ( dp_smooth ) THEN
1672	dp_smooth_factor(:dp_level_ind_b) = 0.0
1673	DO k = dp_level_ind_b+1, nzt
1674	dp_smooth_factor(k) = 0.5 * ( 1.0 + SIN( pi * &
1675	( REAL( k - dp_level_ind_b, KIND=wp ) / &
1676	REAL( nzt - dp_level_ind_b, KIND=wp ) - 0.5 ) ) )
1677	ENDDO
1678	ENDIF
1679	ENDIF
1680
1681	!
1682	!-- Initialize damping zone for the potential temperature in case of
1683	!-- non-cyclic lateral boundaries. The damping zone has the maximum value
1684	!-- at the inflow boundary and decreases to zero at pt_damping_width.
1685	ptdf_x = 0.0
1686	ptdf_y = 0.0
1687	IF ( bc_lr_dirrad ) THEN
1688	DO i = nxl, nxr
1689	IF ( ( i * dx ) < pt_damping_width ) THEN
1690	ptdf_x(i) = pt_damping_factor * ( SIN( pi * 0.5 * &
1691	REAL( pt_damping_width - i * dx, KIND=wp ) / ( &
1692	REAL( pt_damping_width, KIND=wp ) ) ) )**2
1693	ENDIF
1694	ENDDO
1695	ELSEIF ( bc_lr_raddir ) THEN
1696	DO i = nxl, nxr
1697	IF ( ( i * dx ) > ( nx * dx - pt_damping_width ) ) THEN
1698	ptdf_x(i) = pt_damping_factor * &
1699	SIN( pi * 0.5 * &
1700	( ( i - nx ) * dx + pt_damping_width ) / &
1701	REAL( pt_damping_width, KIND=wp ) )**2
1702	ENDIF
1703	ENDDO
1704	ELSEIF ( bc_ns_dirrad ) THEN
1705	DO j = nys, nyn
1706	IF ( ( j * dy ) > ( ny * dy - pt_damping_width ) ) THEN
1707	ptdf_y(j) = pt_damping_factor * &
1708	SIN( pi * 0.5 * &
1709	( ( j - ny ) * dy + pt_damping_width ) / &
1710	REAL( pt_damping_width, KIND=wp ) )**2
1711	ENDIF
1712	ENDDO
1713	ELSEIF ( bc_ns_raddir ) THEN
1714	DO j = nys, nyn
1715	IF ( ( j * dy ) < pt_damping_width ) THEN
1716	ptdf_y(j) = pt_damping_factor * &
1717	SIN( pi * 0.5 * &
1718	( pt_damping_width - j * dy ) / &
1719	REAL( pt_damping_width, KIND=wp ) )**2
1720	ENDIF
1721	ENDDO
1722	ENDIF
1723
1724	!
1725	!-- Initialize local summation arrays for routine flow_statistics.
1726	!-- This is necessary because they may not yet have been initialized when they
1727	!-- are called from flow_statistics (or - depending on the chosen model run -
1728	!-- are never initialized)
1729	sums_divnew_l = 0.0
1730	sums_divold_l = 0.0
1731	sums_l_l = 0.0
1732	sums_up_fraction_l = 0.0
1733	sums_wsts_bc_l = 0.0
1734
1735	!
1736	!-- Pre-set masks for regional statistics. Default is the total model domain.
1737	!-- Ghost points are excluded because counting values at the ghost boundaries
1738	!-- would bias the statistics
1739	rmask = 1.0
1740	rmask(:,nxlg:nxl-1,:) = 0.0; rmask(:,nxr+1:nxrg,:) = 0.0
1741	rmask(nysg:nys-1,:,:) = 0.0; rmask(nyn+1:nyng,:,:) = 0.0
1742
1743	!
1744	!-- User-defined initializing actions. Check afterwards, if maximum number
1745	!-- of allowed timeseries is exceeded
1746	CALL user_init
1747
1748	IF ( dots_num > dots_max ) THEN
1749	WRITE( message_string, * ) 'number of time series quantities exceeds', &
1750	' its maximum of dots_max = ', dots_max, &
1751	' &Please increase dots_max in modules.f90.'
1752	CALL message( 'init_3d_model', 'PA0194', 1, 2, 0, 6, 0 )
1753	ENDIF
1754
1755	!
1756	!-- Input binary data file is not needed anymore. This line must be placed
1757	!-- after call of user_init!
1758	CALL close_file( 13 )
1759
1760	!
1761	!-- Compute total sum of active mask grid points
1762	!-- ngp_2dh: number of grid points of a horizontal cross section through the
1763	!-- total domain
1764	!-- ngp_3d: number of grid points of the total domain
1765	ngp_2dh_outer_l = 0
1766	ngp_2dh_outer = 0
1767	ngp_2dh_s_inner_l = 0
1768	ngp_2dh_s_inner = 0
1769	ngp_2dh_l = 0
1770	ngp_2dh = 0
1771	ngp_3d_inner_l = 0.0
1772	ngp_3d_inner = 0
1773	ngp_3d = 0
1774	ngp_sums = ( nz + 2 ) * ( pr_palm + max_pr_user )
1775
1776	DO sr = 0, statistic_regions
1777	DO i = nxl, nxr
1778	DO j = nys, nyn
1779	IF ( rmask(j,i,sr) == 1.0 ) THEN
1780	!
1781	!-- All xy-grid points
1782	ngp_2dh_l(sr) = ngp_2dh_l(sr) + 1
1783	!
1784	!-- xy-grid points above topography
1785	DO k = nzb_s_outer(j,i), nz + 1
1786	ngp_2dh_outer_l(k,sr) = ngp_2dh_outer_l(k,sr) + 1
1787	ENDDO
1788	DO k = nzb_s_inner(j,i), nz + 1
1789	ngp_2dh_s_inner_l(k,sr) = ngp_2dh_s_inner_l(k,sr) + 1
1790	ENDDO
1791	!
1792	!-- All grid points of the total domain above topography
1793	ngp_3d_inner_l(sr) = ngp_3d_inner_l(sr) + &
1794	( nz - nzb_s_inner(j,i) + 2 )
1795	ENDIF
1796	ENDDO
1797	ENDDO
1798	ENDDO
1799
1800	sr = statistic_regions + 1
1801	#if defined( __parallel )
1802	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1803	CALL MPI_ALLREDUCE( ngp_2dh_l(0), ngp_2dh(0), sr, MPI_INTEGER, MPI_SUM, &
1804	comm2d, ierr )
1805	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1806	CALL MPI_ALLREDUCE( ngp_2dh_outer_l(0,0), ngp_2dh_outer(0,0), (nz+2)*sr, &
1807	MPI_INTEGER, MPI_SUM, comm2d, ierr )
1808	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1809	CALL MPI_ALLREDUCE( ngp_2dh_s_inner_l(0,0), ngp_2dh_s_inner(0,0), &
1810	(nz+2)*sr, MPI_INTEGER, MPI_SUM, comm2d, ierr )
1811	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1812	CALL MPI_ALLREDUCE( ngp_3d_inner_l(0), ngp_3d_inner_tmp(0), sr, MPI_REAL, &
1813	MPI_SUM, comm2d, ierr )
1814	ngp_3d_inner = INT( ngp_3d_inner_tmp, KIND = SELECTED_INT_KIND( 18 ) )
1815	#else
1816	ngp_2dh = ngp_2dh_l
1817	ngp_2dh_outer = ngp_2dh_outer_l
1818	ngp_2dh_s_inner = ngp_2dh_s_inner_l
1819	ngp_3d_inner = INT( ngp_3d_inner_l, KIND = SELECTED_INT_KIND( 18 ) )
1820	#endif
1821
1822	ngp_3d = INT ( ngp_2dh, KIND = SELECTED_INT_KIND( 18 ) ) * &
1823	INT ( (nz + 2 ), KIND = SELECTED_INT_KIND( 18 ) )
1824
1825	!
1826	!-- Set a lower limit of 1 in order to avoid zero divisions in flow_statistics,
1827	!-- buoyancy, etc. A zero value will occur for cases where all grid points of
1828	!-- the respective subdomain lie below the surface topography
1829	ngp_2dh_outer = MAX( 1, ngp_2dh_outer(:,:) )
1830	ngp_3d_inner = MAX( INT(1, KIND = SELECTED_INT_KIND( 18 )), &
1831	ngp_3d_inner(:) )
1832	ngp_2dh_s_inner = MAX( 1, ngp_2dh_s_inner(:,:) )
1833
1834	DEALLOCATE( ngp_2dh_l, ngp_2dh_outer_l, ngp_3d_inner_l, ngp_3d_inner_tmp )
1835
1836
1837	END SUBROUTINE init_3d_model

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