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source: palm/trunk/SOURCE/init_3d_model.f90 @ 138

Last change on this file since 138 was 138, checked in by letzel, 16 years ago
Plant canopy model of Watanabe (2004,BLM 112,307-341) added.
Property svn:keywords set to `Id`
File size: 40.8 KB

Line
1	#if defined( __ibmy_special )
2	@PROCESS NOOPTimize
3	#endif
4	SUBROUTINE init_3d_model
5
6	!------------------------------------------------------------------------------!
7	! Actual revisions:
8	! -----------------
9	! New counter ngp_2dh_s_inner.
10	! Allow new case bc_uv_t = 'dirichlet_0' for channel flow.
11	! Corrected calculation of initial volume flow for 'set_1d-model_profiles' and
12	! 'set_constant_profiles' in case of buildings in the reference cross-sections.
13	!
14	! Former revisions:
15	! -----------------
16	! $Id: init_3d_model.f90 138 2007-11-28 10:03:58Z letzel $
17	!
18	! 108 2007-08-24 15:10:38Z letzel
19	! Flux initialization in case of coupled runs, +momentum fluxes at top boundary,
20	! +arrays for phase speed c_u, c_v, c_w, indices for u\|v\|w_m_l\|r changed
21	! +qswst_remote in case of atmosphere model with humidity coupled to ocean
22	! Rayleigh damping for ocean, optionally calculate km and kh from initial
23	! TKE e_init
24	!
25	! 97 2007-06-21 08:23:15Z raasch
26	! Initialization of salinity, call of init_ocean
27	!
28	! 87 2007-05-22 15:46:47Z raasch
29	! var_hom and var_sum renamed pr_palm
30	!
31	! 75 2007-03-22 09:54:05Z raasch
32	! Arrays for radiation boundary conditions are allocated (u_m_l, u_m_r, etc.),
33	! bugfix for cases with the outflow damping layer extending over more than one
34	! subdomain, moisture renamed humidity,
35	! new initializing action "by_user" calls user_init_3d_model,
36	! precipitation_amount/rate, ts_value are allocated, +module netcdf_control,
37	! initial velocities at nzb+1 are regarded for volume
38	! flow control in case they have been set zero before (to avoid small timesteps)
39	! -uvmean_outflow, uxrp, vynp eliminated
40	!
41	! 19 2007-02-23 04:53:48Z raasch
42	! +handling of top fluxes
43	!
44	! RCS Log replace by Id keyword, revision history cleaned up
45	!
46	! Revision 1.49 2006/08/22 15:59:07 raasch
47	! No optimization of this file on the ibmy (Yonsei Univ.)
48	!
49	! Revision 1.1 1998/03/09 16:22:22 raasch
50	! Initial revision
51	!
52	!
53	! Description:
54	! ------------
55	! Allocation of arrays and initialization of the 3D model via
56	! a) pre-run the 1D model
57	! or
58	! b) pre-set constant linear profiles
59	! or
60	! c) read values of a previous run
61	!------------------------------------------------------------------------------!
62
63	USE arrays_3d
64	USE averaging
65	USE cloud_parameters
66	USE constants
67	USE control_parameters
68	USE cpulog
69	USE indices
70	USE interfaces
71	USE model_1d
72	USE netcdf_control
73	USE particle_attributes
74	USE pegrid
75	USE profil_parameter
76	USE random_function_mod
77	USE statistics
78
79	IMPLICIT NONE
80
81	INTEGER :: i, j, k, sr
82
83	INTEGER, DIMENSION(:), ALLOCATABLE :: ngp_2dh_l, ngp_3d_inner_l
84
85	INTEGER, DIMENSION(:,:), ALLOCATABLE :: ngp_2dh_outer_l, &
86	ngp_2dh_s_inner_l
87
88	REAL, DIMENSION(1:2) :: volume_flow_area_l, volume_flow_initial_l
89
90
91	!
92	!-- Allocate arrays
93	ALLOCATE( ngp_2dh(0:statistic_regions), ngp_2dh_l(0:statistic_regions), &
94	ngp_3d(0:statistic_regions), &
95	ngp_3d_inner(0:statistic_regions), &
96	ngp_3d_inner_l(0:statistic_regions), &
97	sums_divnew_l(0:statistic_regions), &
98	sums_divold_l(0:statistic_regions) )
99	ALLOCATE( rdf(nzb+1:nzt) )
100	ALLOCATE( hom_sum(nzb:nzt+1,pr_palm+max_pr_user,0:statistic_regions), &
101	ngp_2dh_outer(nzb:nzt+1,0:statistic_regions), &
102	ngp_2dh_outer_l(nzb:nzt+1,0:statistic_regions), &
103	ngp_2dh_s_inner(nzb:nzt+1,0:statistic_regions), &
104	ngp_2dh_s_inner_l(nzb:nzt+1,0:statistic_regions), &
105	rmask(nys-1:nyn+1,nxl-1:nxr+1,0:statistic_regions), &
106	sums(nzb:nzt+1,pr_palm+max_pr_user), &
107	sums_l(nzb:nzt+1,pr_palm+max_pr_user,0:threads_per_task-1), &
108	sums_l_l(nzb:nzt+1,0:statistic_regions,0:threads_per_task-1), &
109	sums_up_fraction_l(10,3,0:statistic_regions), &
110	sums_wsts_bc_l(nzb:nzt+1,0:statistic_regions), &
111	ts_value(var_ts,0:statistic_regions) )
112	ALLOCATE( km_damp_x(nxl-1:nxr+1), km_damp_y(nys-1:nyn+1) )
113
114	ALLOCATE( rif_1(nys-1:nyn+1,nxl-1:nxr+1), shf_1(nys-1:nyn+1,nxl-1:nxr+1), &
115	ts(nys-1:nyn+1,nxl-1:nxr+1), tswst_1(nys-1:nyn+1,nxl-1:nxr+1), &
116	us(nys-1:nyn+1,nxl-1:nxr+1), usws_1(nys-1:nyn+1,nxl-1:nxr+1), &
117	uswst_1(nys-1:nyn+1,nxl-1:nxr+1), &
118	vsws_1(nys-1:nyn+1,nxl-1:nxr+1), &
119	vswst_1(nys-1:nyn+1,nxl-1:nxr+1), z0(nys-1:nyn+1,nxl-1:nxr+1) )
120
121	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
122	!
123	!-- Leapfrog scheme needs two timelevels of diffusion quantities
124	ALLOCATE( rif_2(nys-1:nyn+1,nxl-1:nxr+1), &
125	shf_2(nys-1:nyn+1,nxl-1:nxr+1), &
126	tswst_2(nys-1:nyn+1,nxl-1:nxr+1), &
127	usws_2(nys-1:nyn+1,nxl-1:nxr+1), &
128	uswst_2(nys-1:nyn+1,nxl-1:nxr+1), &
129	vswst_2(nys-1:nyn+1,nxl-1:nxr+1), &
130	vsws_2(nys-1:nyn+1,nxl-1:nxr+1) )
131	ENDIF
132
133	ALLOCATE( d(nzb+1:nzta,nys:nyna,nxl:nxra), &
134	e_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
135	e_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
136	e_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
137	kh_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
138	km_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
139	p(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
140	pt_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
141	pt_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
142	pt_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
143	tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
144	u_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
145	u_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
146	u_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
147	v_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
148	v_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
149	v_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
150	w_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
151	w_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
152	w_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
153
154	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
155	ALLOCATE( kh_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
156	km_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
157	ENDIF
158
159	IF ( humidity .OR. passive_scalar ) THEN
160	!
161	!-- 2D-humidity/scalar arrays
162	ALLOCATE ( qs(nys-1:nyn+1,nxl-1:nxr+1), &
163	qsws_1(nys-1:nyn+1,nxl-1:nxr+1), &
164	qswst_1(nys-1:nyn+1,nxl-1:nxr+1) )
165
166	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
167	ALLOCATE( qsws_2(nys-1:nyn+1,nxl-1:nxr+1), &
168	qswst_2(nys-1:nyn+1,nxl-1:nxr+1) )
169	ENDIF
170	!
171	!-- 3D-humidity/scalar arrays
172	ALLOCATE( q_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
173	q_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
174	q_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
175
176	!
177	!-- 3D-arrays needed for humidity only
178	IF ( humidity ) THEN
179	ALLOCATE( vpt_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
180
181	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
182	ALLOCATE( vpt_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
183	ENDIF
184
185	IF ( cloud_physics ) THEN
186	!
187	!-- Liquid water content
188	ALLOCATE ( ql_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
189	!
190	!-- Precipitation amount and rate (only needed if output is switched)
191	ALLOCATE( precipitation_amount(nys-1:nyn+1,nxl-1:nxr+1), &
192	precipitation_rate(nys-1:nyn+1,nxl-1:nxr+1) )
193	ENDIF
194
195	IF ( cloud_droplets ) THEN
196	!
197	!-- Liquid water content, change in liquid water content,
198	!-- real volume of particles (with weighting), volume of particles
199	ALLOCATE ( ql_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
200	ql_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
201	ql_v(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
202	ql_vp(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
203	ENDIF
204
205	ENDIF
206
207	ENDIF
208
209	IF ( ocean ) THEN
210	ALLOCATE( saswsb_1(nys-1:nyn+1,nxl-1:nxr+1), &
211	saswst_1(nys-1:nyn+1,nxl-1:nxr+1) )
212	ALLOCATE( rho_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
213	sa_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
214	sa_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
215	sa_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
216	rho => rho_1 ! routine calc_mean_profile requires density to be a
217	! pointer
218	IF ( humidity_remote ) THEN
219	ALLOCATE( qswst_remote(nys-1:nyn+1,nxl-1:nxr+1) )
220	qswst_remote = 0.0
221	ENDIF
222	ENDIF
223
224	!
225	!-- 3D-array for storing the dissipation, needed for calculating the sgs
226	!-- particle velocities
227	IF ( use_sgs_for_particles ) THEN
228	ALLOCATE ( diss(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
229	ENDIF
230
231	IF ( dt_dosp /= 9999999.9 ) THEN
232	ALLOCATE( spectrum_x( 1:nx/2, 1:10, 1:10 ), &
233	spectrum_y( 1:ny/2, 1:10, 1:10 ) )
234	ENDIF
235
236	!
237	!-- 3D-arrays for the leaf area density and the canopy drag coefficient
238	IF ( plant_canopy ) THEN
239	ALLOCATE ( lad_s(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
240	lad_u(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
241	lad_v(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
242	lad_w(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
243	cdc(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
244	ENDIF
245
246	!
247	!-- 4D-array for storing the Rif-values at vertical walls
248	IF ( topography /= 'flat' ) THEN
249	ALLOCATE( rif_wall(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1,1:4) )
250	rif_wall = 0.0
251	ENDIF
252
253	!
254	!-- Velocities at nzb+1 needed for volume flow control
255	IF ( conserve_volume_flow ) THEN
256	ALLOCATE( u_nzb_p1_for_vfc(nys:nyn), v_nzb_p1_for_vfc(nxl:nxr) )
257	u_nzb_p1_for_vfc = 0.0
258	v_nzb_p1_for_vfc = 0.0
259	ENDIF
260
261	!
262	!-- Arrays to store velocity data from t-dt and the phase speeds which
263	!-- are needed for radiation boundary conditions
264	IF ( outflow_l ) THEN
265	ALLOCATE( u_m_l(nzb:nzt+1,nys-1:nyn+1,1:2), &
266	v_m_l(nzb:nzt+1,nys-1:nyn+1,0:1), &
267	w_m_l(nzb:nzt+1,nys-1:nyn+1,0:1) )
268	ENDIF
269	IF ( outflow_r ) THEN
270	ALLOCATE( u_m_r(nzb:nzt+1,nys-1:nyn+1,nx-1:nx), &
271	v_m_r(nzb:nzt+1,nys-1:nyn+1,nx-1:nx), &
272	w_m_r(nzb:nzt+1,nys-1:nyn+1,nx-1:nx) )
273	ENDIF
274	IF ( outflow_l .OR. outflow_r ) THEN
275	ALLOCATE( c_u(nzb:nzt+1,nys-1:nyn+1), c_v(nzb:nzt+1,nys-1:nyn+1), &
276	c_w(nzb:nzt+1,nys-1:nyn+1) )
277	ENDIF
278	IF ( outflow_s ) THEN
279	ALLOCATE( u_m_s(nzb:nzt+1,0:1,nxl-1:nxr+1), &
280	v_m_s(nzb:nzt+1,1:2,nxl-1:nxr+1), &
281	w_m_s(nzb:nzt+1,0:1,nxl-1:nxr+1) )
282	ENDIF
283	IF ( outflow_n ) THEN
284	ALLOCATE( u_m_n(nzb:nzt+1,ny-1:ny,nxl-1:nxr+1), &
285	v_m_n(nzb:nzt+1,ny-1:ny,nxl-1:nxr+1), &
286	w_m_n(nzb:nzt+1,ny-1:ny,nxl-1:nxr+1) )
287	ENDIF
288	IF ( outflow_s .OR. outflow_n ) THEN
289	ALLOCATE( c_u(nzb:nzt+1,nxl-1:nxr+1), c_v(nzb:nzt+1,nxl-1:nxr+1), &
290	c_w(nzb:nzt+1,nxl-1:nxr+1) )
291	ENDIF
292
293	!
294	!-- Initial assignment of the pointers
295	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
296
297	rif_m => rif_1; rif => rif_2
298	shf_m => shf_1; shf => shf_2
299	tswst_m => tswst_1; tswst => tswst_2
300	usws_m => usws_1; usws => usws_2
301	uswst_m => uswst_1; uswst => uswst_2
302	vsws_m => vsws_1; vsws => vsws_2
303	vswst_m => vswst_1; vswst => vswst_2
304	e_m => e_1; e => e_2; e_p => e_3; te_m => e_3
305	kh_m => kh_1; kh => kh_2
306	km_m => km_1; km => km_2
307	pt_m => pt_1; pt => pt_2; pt_p => pt_3; tpt_m => pt_3
308	u_m => u_1; u => u_2; u_p => u_3; tu_m => u_3
309	v_m => v_1; v => v_2; v_p => v_3; tv_m => v_3
310	w_m => w_1; w => w_2; w_p => w_3; tw_m => w_3
311
312	IF ( humidity .OR. passive_scalar ) THEN
313	qsws_m => qsws_1; qsws => qsws_2
314	qswst_m => qswst_1; qswst => qswst_2
315	q_m => q_1; q => q_2; q_p => q_3; tq_m => q_3
316	IF ( humidity ) vpt_m => vpt_1; vpt => vpt_2
317	IF ( cloud_physics ) ql => ql_1
318	IF ( cloud_droplets ) THEN
319	ql => ql_1
320	ql_c => ql_2
321	ENDIF
322	ENDIF
323
324	ELSE
325
326	rif => rif_1
327	shf => shf_1
328	tswst => tswst_1
329	usws => usws_1
330	uswst => uswst_1
331	vsws => vsws_1
332	vswst => vswst_1
333	e => e_1; e_p => e_2; te_m => e_3; e_m => e_3
334	kh => kh_1
335	km => km_1
336	pt => pt_1; pt_p => pt_2; tpt_m => pt_3; pt_m => pt_3
337	u => u_1; u_p => u_2; tu_m => u_3; u_m => u_3
338	v => v_1; v_p => v_2; tv_m => v_3; v_m => v_3
339	w => w_1; w_p => w_2; tw_m => w_3; w_m => w_3
340
341	IF ( humidity .OR. passive_scalar ) THEN
342	qsws => qsws_1
343	qswst => qswst_1
344	q => q_1; q_p => q_2; tq_m => q_3; q_m => q_3
345	IF ( humidity ) vpt => vpt_1
346	IF ( cloud_physics ) ql => ql_1
347	IF ( cloud_droplets ) THEN
348	ql => ql_1
349	ql_c => ql_2
350	ENDIF
351	ENDIF
352
353	IF ( ocean ) THEN
354	saswsb => saswsb_1
355	saswst => saswst_1
356	sa => sa_1; sa_p => sa_2; tsa_m => sa_3
357	ENDIF
358
359	ENDIF
360
361	!
362	!-- Initialize model variables
363	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
364	!
365	!-- First model run of a possible job queue.
366	!-- Initial profiles of the variables must be computes.
367	IF ( INDEX( initializing_actions, 'set_1d-model_profiles' ) /= 0 ) THEN
368	!
369	!-- Use solutions of the 1D model as initial profiles,
370	!-- start 1D model
371	CALL init_1d_model
372	!
373	!-- Transfer initial profiles to the arrays of the 3D model
374	DO i = nxl-1, nxr+1
375	DO j = nys-1, nyn+1
376	e(:,j,i) = e1d
377	kh(:,j,i) = kh1d
378	km(:,j,i) = km1d
379	pt(:,j,i) = pt_init
380	u(:,j,i) = u1d
381	v(:,j,i) = v1d
382	ENDDO
383	ENDDO
384
385	IF ( humidity .OR. passive_scalar ) THEN
386	DO i = nxl-1, nxr+1
387	DO j = nys-1, nyn+1
388	q(:,j,i) = q_init
389	ENDDO
390	ENDDO
391	ENDIF
392
393	IF ( .NOT. constant_diffusion ) THEN
394	DO i = nxl-1, nxr+1
395	DO j = nys-1, nyn+1
396	e(:,j,i) = e1d
397	ENDDO
398	ENDDO
399	!
400	!-- Store initial profiles for output purposes etc.
401	hom(:,1,25,:) = SPREAD( l1d, 2, statistic_regions+1 )
402
403	IF ( prandtl_layer ) THEN
404	rif = rif1d(nzb+1)
405	ts = 0.0 ! could actually be computed more accurately in the
406	! 1D model. Update when opportunity arises.
407	us = us1d
408	usws = usws1d
409	vsws = vsws1d
410	ELSE
411	ts = 0.0 ! must be set, because used in
412	rif = 0.0 ! flowste
413	us = 0.0
414	usws = 0.0
415	vsws = 0.0
416	ENDIF
417
418	ELSE
419	e = 0.0 ! must be set, because used in
420	rif = 0.0 ! flowste
421	ts = 0.0
422	us = 0.0
423	usws = 0.0
424	vsws = 0.0
425	ENDIF
426	uswst = top_momentumflux_u
427	vswst = top_momentumflux_v
428
429	!
430	!-- In every case qs = 0.0 (see also pt)
431	!-- This could actually be computed more accurately in the 1D model.
432	!-- Update when opportunity arises!
433	IF ( humidity .OR. passive_scalar ) qs = 0.0
434
435	!
436	!-- inside buildings set velocities back to zero
437	IF ( topography /= 'flat' ) THEN
438	DO i = nxl-1, nxr+1
439	DO j = nys-1, nyn+1
440	u(nzb:nzb_u_inner(j,i),j,i) = 0.0
441	v(nzb:nzb_v_inner(j,i),j,i) = 0.0
442	ENDDO
443	ENDDO
444	IF ( conserve_volume_flow ) THEN
445	IF ( nxr == nx ) THEN
446	DO j = nys, nyn
447	DO k = nzb + 1, nzb_u_inner(j,nx)
448	u_nzb_p1_for_vfc(j) = u1d(k) * dzu(k)
449	ENDDO
450	ENDDO
451	ENDIF
452	IF ( nyn == ny ) THEN
453	DO i = nxl, nxr
454	DO k = nzb + 1, nzb_v_inner(ny,i)
455	v_nzb_p1_for_vfc(i) = v1d(k) * dzu(k)
456	ENDDO
457	ENDDO
458	ENDIF
459	ENDIF
460	!
461	!-- WARNING: The extra boundary conditions set after running the
462	!-- ------- 1D model impose an error on the divergence one layer
463	!-- below the topography; need to correct later
464	!-- ATTENTION: Provisional correction for Piacsek & Williams
465	!-- --------- advection scheme: keep u and v zero one layer below
466	!-- the topography.
467	IF ( ibc_uv_b == 0 ) THEN
468	!
469	!-- Satisfying the Dirichlet condition with an extra layer below
470	!-- the surface where the u and v component change their sign.
471	DO i = nxl-1, nxr+1
472	DO j = nys-1, nyn+1
473	IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = -u(1,j,i)
474	IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = -v(1,j,i)
475	ENDDO
476	ENDDO
477
478	ELSE
479	!
480	!-- Neumann condition
481	DO i = nxl-1, nxr+1
482	DO j = nys-1, nyn+1
483	IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = u(1,j,i)
484	IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = v(1,j,i)
485	ENDDO
486	ENDDO
487
488	ENDIF
489
490	ENDIF
491
492	ELSEIF ( INDEX(initializing_actions, 'set_constant_profiles') /= 0 ) &
493	THEN
494	!
495	!-- Use constructed initial profiles (velocity constant with height,
496	!-- temperature profile with constant gradient)
497	DO i = nxl-1, nxr+1
498	DO j = nys-1, nyn+1
499	pt(:,j,i) = pt_init
500	u(:,j,i) = u_init
501	v(:,j,i) = v_init
502	ENDDO
503	ENDDO
504
505	!
506	!-- Set initial horizontal velocities at the lowest computational grid levels
507	!-- to zero in order to avoid too small time steps caused by the diffusion
508	!-- limit in the initial phase of a run (at k=1, dz/2 occurs in the
509	!-- limiting formula!). The original values are stored to be later used for
510	!-- volume flow control.
511	DO i = nxl-1, nxr+1
512	DO j = nys-1, nyn+1
513	u(nzb:nzb_u_inner(j,i)+1,j,i) = 0.0
514	v(nzb:nzb_v_inner(j,i)+1,j,i) = 0.0
515	ENDDO
516	ENDDO
517	IF ( conserve_volume_flow ) THEN
518	IF ( nxr == nx ) THEN
519	DO j = nys, nyn
520	DO k = nzb + 1, nzb_u_inner(j,nx) + 1
521	u_nzb_p1_for_vfc(j) = u_init(k) * dzu(k)
522	ENDDO
523	ENDDO
524	ENDIF
525	IF ( nyn == ny ) THEN
526	DO i = nxl, nxr
527	DO k = nzb + 1, nzb_v_inner(ny,i) + 1
528	v_nzb_p1_for_vfc(i) = v_init(k) * dzu(k)
529	ENDDO
530	ENDDO
531	ENDIF
532	ENDIF
533
534	IF ( humidity .OR. passive_scalar ) THEN
535	DO i = nxl-1, nxr+1
536	DO j = nys-1, nyn+1
537	q(:,j,i) = q_init
538	ENDDO
539	ENDDO
540	ENDIF
541
542	IF ( ocean ) THEN
543	DO i = nxl-1, nxr+1
544	DO j = nys-1, nyn+1
545	sa(:,j,i) = sa_init
546	ENDDO
547	ENDDO
548	ENDIF
549
550	IF ( constant_diffusion ) THEN
551	km = km_constant
552	kh = km / prandtl_number
553	e = 0.0
554	ELSEIF ( e_init > 0.0 ) THEN
555	DO k = nzb+1, nzt
556	km(k,:,:) = 0.1 * l_grid(k) * SQRT( e_init )
557	ENDDO
558	km(nzb,:,:) = km(nzb+1,:,:)
559	km(nzt+1,:,:) = km(nzt,:,:)
560	kh = km / prandtl_number
561	e = e_init
562	ELSE
563	IF ( .NOT. ocean ) THEN
564	kh = 0.01 ! there must exist an initial diffusion, because
565	km = 0.01 ! otherwise no TKE would be produced by the
566	! production terms, as long as not yet
567	! e = (u/cm)*2 at k=nzb+1
568	ELSE
569	kh = 0.00001
570	km = 0.00001
571	ENDIF
572	e = 0.0
573	ENDIF
574	rif = 0.0
575	ts = 0.0
576	us = 0.0
577	usws = 0.0
578	uswst = top_momentumflux_u
579	vsws = 0.0
580	vswst = top_momentumflux_v
581	IF ( humidity .OR. passive_scalar ) qs = 0.0
582
583	!
584	!-- Compute initial temperature field and other constants used in case
585	!-- of a sloping surface
586	IF ( sloping_surface ) CALL init_slope
587
588	ELSEIF ( INDEX(initializing_actions, 'by_user') /= 0 ) &
589	THEN
590	!
591	!-- Initialization will completely be done by the user
592	CALL user_init_3d_model
593
594	ENDIF
595
596	!
597	!-- apply channel flow boundary condition
598	IF ( TRIM( bc_uv_t ) == 'dirichlet_0' ) THEN
599
600	u(nzt+1,:,:) = 0.0
601	v(nzt+1,:,:) = 0.0
602
603	!-- for the Dirichlet condition to be correctly applied at the top, set
604	!-- ug and vg to zero there
605	ug(nzt+1) = 0.0
606	vg(nzt+1) = 0.0
607
608	ENDIF
609
610	!
611	!-- Calculate virtual potential temperature
612	IF ( humidity ) vpt = pt * ( 1.0 + 0.61 * q )
613
614	!
615	!-- Store initial profiles for output purposes etc.
616	hom(:,1,5,:) = SPREAD( u(:,nys,nxl), 2, statistic_regions+1 )
617	hom(:,1,6,:) = SPREAD( v(:,nys,nxl), 2, statistic_regions+1 )
618	IF ( ibc_uv_b == 0 ) THEN
619	hom(nzb,1,5,:) = -hom(nzb+1,1,5,:) ! due to satisfying the Dirichlet
620	hom(nzb,1,6,:) = -hom(nzb+1,1,6,:) ! condition with an extra layer
621	! below the surface where the u and v component change their sign
622	ENDIF
623	hom(:,1,7,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
624	hom(:,1,23,:) = SPREAD( km(:,nys,nxl), 2, statistic_regions+1 )
625	hom(:,1,24,:) = SPREAD( kh(:,nys,nxl), 2, statistic_regions+1 )
626
627	IF ( ocean ) THEN
628	!
629	!-- Store initial salinity profile
630	hom(:,1,26,:) = SPREAD( sa(:,nys,nxl), 2, statistic_regions+1 )
631	ENDIF
632
633	IF ( humidity ) THEN
634	!
635	!-- Store initial profile of total water content, virtual potential
636	!-- temperature
637	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
638	hom(:,1,29,:) = SPREAD( vpt(:,nys,nxl), 2, statistic_regions+1 )
639	IF ( cloud_physics .OR. cloud_droplets ) THEN
640	!
641	!-- Store initial profile of specific humidity and potential
642	!-- temperature
643	hom(:,1,27,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
644	hom(:,1,28,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
645	ENDIF
646	ENDIF
647
648	IF ( passive_scalar ) THEN
649	!
650	!-- Store initial scalar profile
651	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
652	ENDIF
653
654	!
655	!-- Initialize fluxes at bottom surface
656	IF ( use_surface_fluxes ) THEN
657
658	IF ( constant_heatflux ) THEN
659	!
660	!-- Heat flux is prescribed
661	IF ( random_heatflux ) THEN
662	CALL disturb_heatflux
663	ELSE
664	shf = surface_heatflux
665	!
666	!-- Over topography surface_heatflux is replaced by wall_heatflux(0)
667	IF ( TRIM( topography ) /= 'flat' ) THEN
668	DO i = nxl-1, nxr+1
669	DO j = nys-1, nyn+1
670	IF ( nzb_s_inner(j,i) /= 0 ) THEN
671	shf(j,i) = wall_heatflux(0)
672	ENDIF
673	ENDDO
674	ENDDO
675	ENDIF
676	ENDIF
677	IF ( ASSOCIATED( shf_m ) ) shf_m = shf
678	ENDIF
679
680	!
681	!-- Determine the near-surface water flux
682	IF ( humidity .OR. passive_scalar ) THEN
683	IF ( constant_waterflux ) THEN
684	qsws = surface_waterflux
685	IF ( ASSOCIATED( qsws_m ) ) qsws_m = qsws
686	ENDIF
687	ENDIF
688
689	ENDIF
690
691	!
692	!-- Initialize fluxes at top surface
693	!-- Currently, only the heatflux and salinity flux can be prescribed.
694	!-- The latent flux is zero in this case!
695	IF ( use_top_fluxes ) THEN
696
697	IF ( constant_top_heatflux ) THEN
698	!
699	!-- Heat flux is prescribed
700	tswst = top_heatflux
701	IF ( ASSOCIATED( tswst_m ) ) tswst_m = tswst
702
703	IF ( humidity .OR. passive_scalar ) THEN
704	qswst = 0.0
705	IF ( ASSOCIATED( qswst_m ) ) qswst_m = qswst
706	ENDIF
707
708	IF ( ocean ) THEN
709	saswsb = bottom_salinityflux
710	saswst = top_salinityflux
711	ENDIF
712	ENDIF
713
714	!
715	!-- Initialization in case of a coupled model run
716	IF ( coupling_mode == 'ocean_to_atmosphere' ) THEN
717	tswst = 0.0
718	IF ( ASSOCIATED( tswst_m ) ) tswst_m = tswst
719	ENDIF
720
721	ENDIF
722
723	!
724	!-- Initialize Prandtl layer quantities
725	IF ( prandtl_layer ) THEN
726
727	z0 = roughness_length
728
729	IF ( .NOT. constant_heatflux ) THEN
730	!
731	!-- Surface temperature is prescribed. Here the heat flux cannot be
732	!-- simply estimated, because therefore rif, u* and theta* would have
733	!-- to be computed by iteration. This is why the heat flux is assumed
734	!-- to be zero before the first time step. It approaches its correct
735	!-- value in the course of the first few time steps.
736	shf = 0.0
737	IF ( ASSOCIATED( shf_m ) ) shf_m = 0.0
738	ENDIF
739
740	IF ( humidity .OR. passive_scalar ) THEN
741	IF ( .NOT. constant_waterflux ) THEN
742	qsws = 0.0
743	IF ( ASSOCIATED( qsws_m ) ) qsws_m = 0.0
744	ENDIF
745	ENDIF
746
747	ENDIF
748
749	!
750	!-- Calculate the initial volume flow at the right and north boundary
751	IF ( conserve_volume_flow ) THEN
752
753	volume_flow_initial_l = 0.0
754	volume_flow_area_l = 0.0
755
756	IF ( nxr == nx ) THEN
757	DO j = nys, nyn
758	DO k = nzb_2d(j,nx) + 1, nzt
759	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
760	u(k,j,nx) * dzu(k)
761	volume_flow_area_l(1) = volume_flow_area_l(1) + dzu(k)
762	ENDDO
763	!
764	!-- Correction if velocity at nzb+1 has been set zero further above
765	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
766	u_nzb_p1_for_vfc(j)
767	ENDDO
768	ENDIF
769
770	IF ( nyn == ny ) THEN
771	DO i = nxl, nxr
772	DO k = nzb_2d(ny,i) + 1, nzt
773	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
774	v(k,ny,i) * dzu(k)
775	volume_flow_area_l(2) = volume_flow_area_l(2) + dzu(k)
776	ENDDO
777	!
778	!-- Correction if velocity at nzb+1 has been set zero further above
779	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
780	v_nzb_p1_for_vfc(i)
781	ENDDO
782	ENDIF
783
784	#if defined( __parallel )
785	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
786	2, MPI_REAL, MPI_SUM, comm2d, ierr )
787	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
788	2, MPI_REAL, MPI_SUM, comm2d, ierr )
789	#else
790	volume_flow_initial = volume_flow_initial_l
791	volume_flow_area = volume_flow_area_l
792	#endif
793	ENDIF
794
795	!
796	!-- For the moment, perturbation pressure and vertical velocity are zero
797	p = 0.0; w = 0.0
798
799	!
800	!-- Initialize array sums (must be defined in first call of pres)
801	sums = 0.0
802
803	!
804	!-- Treating cloud physics, liquid water content and precipitation amount
805	!-- are zero at beginning of the simulation
806	IF ( cloud_physics ) THEN
807	ql = 0.0
808	IF ( precipitation ) precipitation_amount = 0.0
809	ENDIF
810
811	!
812	!-- Initialize spectra
813	IF ( dt_dosp /= 9999999.9 ) THEN
814	spectrum_x = 0.0
815	spectrum_y = 0.0
816	ENDIF
817
818	!
819	!-- Impose vortex with vertical axis on the initial velocity profile
820	IF ( INDEX( initializing_actions, 'initialize_vortex' ) /= 0 ) THEN
821	CALL init_rankine
822	ENDIF
823
824	!
825	!-- Impose temperature anomaly (advection test only)
826	IF ( INDEX( initializing_actions, 'initialize_ptanom' ) /= 0 ) THEN
827	CALL init_pt_anomaly
828	ENDIF
829
830	!
831	!-- If required, change the surface temperature at the start of the 3D run
832	IF ( pt_surface_initial_change /= 0.0 ) THEN
833	pt(nzb,:,:) = pt(nzb,:,:) + pt_surface_initial_change
834	ENDIF
835
836	!
837	!-- If required, change the surface humidity/scalar at the start of the 3D
838	!-- run
839	IF ( ( humidity .OR. passive_scalar ) .AND. &
840	q_surface_initial_change /= 0.0 ) THEN
841	q(nzb,:,:) = q(nzb,:,:) + q_surface_initial_change
842	ENDIF
843
844	!
845	!-- Initialize the random number generator (from numerical recipes)
846	CALL random_function_ini
847
848	!
849	!-- Impose random perturbation on the horizontal velocity field and then
850	!-- remove the divergences from the velocity field
851	IF ( create_disturbances ) THEN
852	CALL disturb_field( nzb_u_inner, tend, u )
853	CALL disturb_field( nzb_v_inner, tend, v )
854	n_sor = nsor_ini
855	CALL pres
856	n_sor = nsor
857	ENDIF
858
859	!
860	!-- Once again set the perturbation pressure explicitly to zero in order to
861	!-- assure that it does not generate any divergences in the first time step.
862	!-- At t=0 the velocity field is free of divergence (as constructed above).
863	!-- Divergences being created during a time step are not yet known and thus
864	!-- cannot be corrected during the time step yet.
865	p = 0.0
866
867	!
868	!-- Initialize old and new time levels.
869	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
870	e_m = e; pt_m = pt; u_m = u; v_m = v; w_m = w; kh_m = kh; km_m = km
871	ELSE
872	te_m = 0.0; tpt_m = 0.0; tu_m = 0.0; tv_m = 0.0; tw_m = 0.0
873	ENDIF
874	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
875
876	IF ( humidity .OR. passive_scalar ) THEN
877	IF ( ASSOCIATED( q_m ) ) q_m = q
878	IF ( timestep_scheme(1:5) == 'runge' ) tq_m = 0.0
879	q_p = q
880	IF ( humidity .AND. ASSOCIATED( vpt_m ) ) vpt_m = vpt
881	ENDIF
882
883	IF ( ocean ) THEN
884	tsa_m = 0.0
885	sa_p = sa
886	ENDIF
887
888	!
889	!-- Initialize old timelevels needed for radiation boundary conditions
890	IF ( outflow_l ) THEN
891	u_m_l(:,:,:) = u(:,:,1:2)
892	v_m_l(:,:,:) = v(:,:,0:1)
893	w_m_l(:,:,:) = w(:,:,0:1)
894	ENDIF
895	IF ( outflow_r ) THEN
896	u_m_r(:,:,:) = u(:,:,nx-1:nx)
897	v_m_r(:,:,:) = v(:,:,nx-1:nx)
898	w_m_r(:,:,:) = w(:,:,nx-1:nx)
899	ENDIF
900	IF ( outflow_s ) THEN
901	u_m_s(:,:,:) = u(:,0:1,:)
902	v_m_s(:,:,:) = v(:,1:2,:)
903	w_m_s(:,:,:) = w(:,0:1,:)
904	ENDIF
905	IF ( outflow_n ) THEN
906	u_m_n(:,:,:) = u(:,ny-1:ny,:)
907	v_m_n(:,:,:) = v(:,ny-1:ny,:)
908	w_m_n(:,:,:) = w(:,ny-1:ny,:)
909	ENDIF
910
911	ELSEIF ( TRIM( initializing_actions ) == 'read_restart_data' ) &
912	THEN
913	!
914	!-- Read binary data from restart file
915	CALL read_3d_binary
916
917	!
918	!-- Calculate initial temperature field and other constants used in case
919	!-- of a sloping surface
920	IF ( sloping_surface ) CALL init_slope
921
922	!
923	!-- Initialize new time levels (only done in order to set boundary values
924	!-- including ghost points)
925	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
926	IF ( humidity .OR. passive_scalar ) q_p = q
927	IF ( ocean ) sa_p = sa
928
929	ELSE
930	!
931	!-- Actually this part of the programm should not be reached
932	IF ( myid == 0 ) PRINT*,'+++ init_3d_model: unknown initializing ', &
933	'problem'
934	CALL local_stop
935	ENDIF
936
937	!
938	!-- Initialization of the leaf area density
939	IF ( plant_canopy ) THEN
940
941	SELECT CASE ( TRIM( canopy_mode ) )
942
943	CASE( 'block' )
944
945	DO i = nxl-1, nxr+1
946	DO j = nys-1, nyn+1
947	lad_s(:,j,i) = lad(:)
948	cdc(:,j,i) = drag_coefficient
949	ENDDO
950	ENDDO
951
952	CASE DEFAULT
953
954	!
955	!-- The DEFAULT case is reached either if the parameter
956	!-- canopy mode contains a wrong character string or if the
957	!-- user has coded a special case in the user interface.
958	!-- There, the subroutine user_init_plant_canopy checks
959	!-- which of these two conditions applies.
960	CALL user_init_plant_canopy
961
962	END SELECT
963
964	CALL exchange_horiz( lad_s )
965	CALL exchange_horiz( cdc )
966
967	DO i = nxl, nxr
968	DO j = nys, nyn
969	DO k = nzb, nzt+1
970	lad_u(k,j,i) = 0.5 * ( lad_s(k,j,i-1) + lad_s(k,j,i) )
971	lad_v(k,j,i) = 0.5 * ( lad_s(k,j-1,i) + lad_s(k,j,i) )
972	ENDDO
973	DO k = nzb, nzt
974	lad_w(k,j,i) = 0.5 * ( lad_s(k+1,j,i) + lad_s(k,j,i) )
975	ENDDO
976	ENDDO
977	ENDDO
978
979	lad_w(nzt+1,:,:) = lad_w(nzt,:,:)
980
981	CALL exchange_horiz( lad_u )
982	CALL exchange_horiz( lad_v )
983	CALL exchange_horiz( lad_w )
984
985	ENDIF
986
987	!
988	!-- If required, initialize dvrp-software
989	IF ( dt_dvrp /= 9999999.9 ) CALL init_dvrp
990
991	IF ( ocean ) THEN
992	!
993	!-- Initialize quantities needed for the ocean model
994	CALL init_ocean
995	ELSE
996	!
997	!-- Initialize quantities for handling cloud physics
998	!-- This routine must be called before init_particles, because
999	!-- otherwise, array pt_d_t, needed in data_output_dvrp (called by
1000	!-- init_particles) is not defined.
1001	CALL init_cloud_physics
1002	ENDIF
1003
1004	!
1005	!-- If required, initialize particles
1006	IF ( particle_advection ) CALL init_particles
1007
1008	!
1009	!-- Initialize quantities for special advections schemes
1010	CALL init_advec
1011
1012	!
1013	!-- Initialize Rayleigh damping factors
1014	rdf = 0.0
1015	IF ( rayleigh_damping_factor /= 0.0 ) THEN
1016	IF ( .NOT. ocean ) THEN
1017	DO k = nzb+1, nzt
1018	IF ( zu(k) >= rayleigh_damping_height ) THEN
1019	rdf(k) = rayleigh_damping_factor * &
1020	( SIN( pi * 0.5 * ( zu(k) - rayleigh_damping_height ) &
1021	/ ( zu(nzt) - rayleigh_damping_height ) )&
1022	)**2
1023	ENDIF
1024	ENDDO
1025	ELSE
1026	DO k = nzt, nzb+1, -1
1027	IF ( zu(k) <= rayleigh_damping_height ) THEN
1028	rdf(k) = rayleigh_damping_factor * &
1029	( SIN( pi * 0.5 * ( rayleigh_damping_height - zu(k) ) &
1030	/ ( rayleigh_damping_height - zu(nzb+1)))&
1031	)**2
1032	ENDIF
1033	ENDDO
1034	ENDIF
1035	ENDIF
1036
1037	!
1038	!-- Initialize diffusivities used within the outflow damping layer in case of
1039	!-- non-cyclic lateral boundaries. A linear increase is assumed over the first
1040	!-- half of the width of the damping layer
1041	IF ( bc_lr == 'dirichlet/radiation' ) THEN
1042
1043	DO i = nxl-1, nxr+1
1044	IF ( i >= nx - outflow_damping_width ) THEN
1045	km_damp_x(i) = km_damp_max * MIN( 1.0, &
1046	( i - ( nx - outflow_damping_width ) ) / &
1047	REAL( outflow_damping_width/2 ) &
1048	)
1049	ELSE
1050	km_damp_x(i) = 0.0
1051	ENDIF
1052	ENDDO
1053
1054	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
1055
1056	DO i = nxl-1, nxr+1
1057	IF ( i <= outflow_damping_width ) THEN
1058	km_damp_x(i) = km_damp_max * MIN( 1.0, &
1059	( outflow_damping_width - i ) / &
1060	REAL( outflow_damping_width/2 ) &
1061	)
1062	ELSE
1063	km_damp_x(i) = 0.0
1064	ENDIF
1065	ENDDO
1066
1067	ENDIF
1068
1069	IF ( bc_ns == 'dirichlet/radiation' ) THEN
1070
1071	DO j = nys-1, nyn+1
1072	IF ( j >= ny - outflow_damping_width ) THEN
1073	km_damp_y(j) = km_damp_max * MIN( 1.0, &
1074	( j - ( ny - outflow_damping_width ) ) / &
1075	REAL( outflow_damping_width/2 ) &
1076	)
1077	ELSE
1078	km_damp_y(j) = 0.0
1079	ENDIF
1080	ENDDO
1081
1082	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
1083
1084	DO j = nys-1, nyn+1
1085	IF ( j <= outflow_damping_width ) THEN
1086	km_damp_y(j) = km_damp_max * MIN( 1.0, &
1087	( outflow_damping_width - j ) / &
1088	REAL( outflow_damping_width/2 ) &
1089	)
1090	ELSE
1091	km_damp_y(j) = 0.0
1092	ENDIF
1093	ENDDO
1094
1095	ENDIF
1096
1097	!
1098	!-- Initialize local summation arrays for UP flow_statistics. This is necessary
1099	!-- because they may not yet have been initialized when they are called from
1100	!-- flow_statistics (or - depending on the chosen model run - are never
1101	!-- initialized)
1102	sums_divnew_l = 0.0
1103	sums_divold_l = 0.0
1104	sums_l_l = 0.0
1105	sums_up_fraction_l = 0.0
1106	sums_wsts_bc_l = 0.0
1107
1108	!
1109	!-- Pre-set masks for regional statistics. Default is the total model domain.
1110	rmask = 1.0
1111
1112	!
1113	!-- User-defined initializing actions. Check afterwards, if maximum number
1114	!-- of allowed timeseries is not exceeded
1115	CALL user_init
1116
1117	IF ( dots_num > dots_max ) THEN
1118	IF ( myid == 0 ) THEN
1119	PRINT*, '+++ user_init: number of time series quantities exceeds', &
1120	' its maximum of dots_max = ', dots_max
1121	PRINT*, ' Please increase dots_max in modules.f90.'
1122	ENDIF
1123	CALL local_stop
1124	ENDIF
1125
1126	!
1127	!-- Input binary data file is not needed anymore. This line must be placed
1128	!-- after call of user_init!
1129	CALL close_file( 13 )
1130
1131	!
1132	!-- Compute total sum of active mask grid points
1133	!-- ngp_2dh: number of grid points of a horizontal cross section through the
1134	!-- total domain
1135	!-- ngp_3d: number of grid points of the total domain
1136	ngp_2dh_outer_l = 0
1137	ngp_2dh_outer = 0
1138	ngp_2dh_s_inner_l = 0
1139	ngp_2dh_s_inner = 0
1140	ngp_2dh_l = 0
1141	ngp_2dh = 0
1142	ngp_3d_inner_l = 0
1143	ngp_3d_inner = 0
1144	ngp_3d = 0
1145	ngp_sums = ( nz + 2 ) * ( pr_palm + max_pr_user )
1146
1147	DO sr = 0, statistic_regions
1148	DO i = nxl, nxr
1149	DO j = nys, nyn
1150	IF ( rmask(j,i,sr) == 1.0 ) THEN
1151	!
1152	!-- All xy-grid points
1153	ngp_2dh_l(sr) = ngp_2dh_l(sr) + 1
1154	!
1155	!-- xy-grid points above topography
1156	DO k = nzb_s_outer(j,i), nz + 1
1157	ngp_2dh_outer_l(k,sr) = ngp_2dh_outer_l(k,sr) + 1
1158	ENDDO
1159	DO k = nzb_s_inner(j,i), nz + 1
1160	ngp_2dh_s_inner_l(k,sr) = ngp_2dh_s_inner_l(k,sr) + 1
1161	ENDDO
1162	!
1163	!-- All grid points of the total domain above topography
1164	ngp_3d_inner_l(sr) = ngp_3d_inner_l(sr) + &
1165	( nz - nzb_s_inner(j,i) + 2 )
1166	ENDIF
1167	ENDDO
1168	ENDDO
1169	ENDDO
1170
1171	sr = statistic_regions + 1
1172	#if defined( __parallel )
1173	CALL MPI_ALLREDUCE( ngp_2dh_l(0), ngp_2dh(0), sr, MPI_INTEGER, MPI_SUM, &
1174	comm2d, ierr )
1175	CALL MPI_ALLREDUCE( ngp_2dh_outer_l(0,0), ngp_2dh_outer(0,0), (nz+2)*sr, &
1176	MPI_INTEGER, MPI_SUM, comm2d, ierr )
1177	CALL MPI_ALLREDUCE( ngp_2dh_s_inner_l(0,0), ngp_2dh_s_inner(0,0), &
1178	(nz+2)*sr, MPI_INTEGER, MPI_SUM, comm2d, ierr )
1179	CALL MPI_ALLREDUCE( ngp_3d_inner_l(0), ngp_3d_inner(0), sr, MPI_INTEGER, &
1180	MPI_SUM, comm2d, ierr )
1181	#else
1182	ngp_2dh = ngp_2dh_l
1183	ngp_2dh_outer = ngp_2dh_outer_l
1184	ngp_2dh_s_inner = ngp_2dh_s_inner_l
1185	ngp_3d_inner = ngp_3d_inner_l
1186	#endif
1187
1188	ngp_3d = ngp_2dh * ( nz + 2 )
1189
1190	!
1191	!-- Set a lower limit of 1 in order to avoid zero divisions in flow_statistics,
1192	!-- buoyancy, etc. A zero value will occur for cases where all grid points of
1193	!-- the respective subdomain lie below the surface topography
1194	ngp_2dh_outer = MAX( 1, ngp_2dh_outer(:,:) )
1195	ngp_3d_inner = MAX( 1, ngp_3d_inner(:) )
1196
1197	DEALLOCATE( ngp_2dh_l, ngp_2dh_outer_l, ngp_3d_inner_l )
1198
1199
1200	END SUBROUTINE init_3d_model

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