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source: palm/trunk/SOURCE/init_3d_model.f90 @ 145

Last change on this file since 145 was 143, checked in by raasch, 17 years ago
first preliminary update for turbulent inflow
Property svn:keywords set to `Id`
File size: 40.8 KB

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1	#if defined( __ibmy_special )
2	@PROCESS NOOPTimize
3	#endif
4	SUBROUTINE init_3d_model
5
6	!------------------------------------------------------------------------------!
7	! Actual revisions:
8	! -----------------
9	! Allocation of hom_sum moved to parin
10	!
11	! Former revisions:
12	! -----------------
13	! $Id: init_3d_model.f90 143 2007-12-28 09:44:53Z raasch $
14	!
15	! 138 2007-11-28 10:03:58Z letzel
16	! New counter ngp_2dh_s_inner.
17	! Allow new case bc_uv_t = 'dirichlet_0' for channel flow.
18	! Corrected calculation of initial volume flow for 'set_1d-model_profiles' and
19	! 'set_constant_profiles' in case of buildings in the reference cross-sections.
20	!
21	! 108 2007-08-24 15:10:38Z letzel
22	! Flux initialization in case of coupled runs, +momentum fluxes at top boundary,
23	! +arrays for phase speed c_u, c_v, c_w, indices for u\|v\|w_m_l\|r changed
24	! +qswst_remote in case of atmosphere model with humidity coupled to ocean
25	! Rayleigh damping for ocean, optionally calculate km and kh from initial
26	! TKE e_init
27	!
28	! 97 2007-06-21 08:23:15Z raasch
29	! Initialization of salinity, call of init_ocean
30	!
31	! 87 2007-05-22 15:46:47Z raasch
32	! var_hom and var_sum renamed pr_palm
33	!
34	! 75 2007-03-22 09:54:05Z raasch
35	! Arrays for radiation boundary conditions are allocated (u_m_l, u_m_r, etc.),
36	! bugfix for cases with the outflow damping layer extending over more than one
37	! subdomain, moisture renamed humidity,
38	! new initializing action "by_user" calls user_init_3d_model,
39	! precipitation_amount/rate, ts_value are allocated, +module netcdf_control,
40	! initial velocities at nzb+1 are regarded for volume
41	! flow control in case they have been set zero before (to avoid small timesteps)
42	! -uvmean_outflow, uxrp, vynp eliminated
43	!
44	! 19 2007-02-23 04:53:48Z raasch
45	! +handling of top fluxes
46	!
47	! RCS Log replace by Id keyword, revision history cleaned up
48	!
49	! Revision 1.49 2006/08/22 15:59:07 raasch
50	! No optimization of this file on the ibmy (Yonsei Univ.)
51	!
52	! Revision 1.1 1998/03/09 16:22:22 raasch
53	! Initial revision
54	!
55	!
56	! Description:
57	! ------------
58	! Allocation of arrays and initialization of the 3D model via
59	! a) pre-run the 1D model
60	! or
61	! b) pre-set constant linear profiles
62	! or
63	! c) read values of a previous run
64	!------------------------------------------------------------------------------!
65
66	USE arrays_3d
67	USE averaging
68	USE cloud_parameters
69	USE constants
70	USE control_parameters
71	USE cpulog
72	USE indices
73	USE interfaces
74	USE model_1d
75	USE netcdf_control
76	USE particle_attributes
77	USE pegrid
78	USE profil_parameter
79	USE random_function_mod
80	USE statistics
81
82	IMPLICIT NONE
83
84	INTEGER :: i, j, k, sr
85
86	INTEGER, DIMENSION(:), ALLOCATABLE :: ngp_2dh_l, ngp_3d_inner_l
87
88	INTEGER, DIMENSION(:,:), ALLOCATABLE :: ngp_2dh_outer_l, &
89	ngp_2dh_s_inner_l
90
91	REAL, DIMENSION(1:2) :: volume_flow_area_l, volume_flow_initial_l
92
93
94	!
95	!-- Allocate arrays
96	ALLOCATE( ngp_2dh(0:statistic_regions), ngp_2dh_l(0:statistic_regions), &
97	ngp_3d(0:statistic_regions), &
98	ngp_3d_inner(0:statistic_regions), &
99	ngp_3d_inner_l(0:statistic_regions), &
100	sums_divnew_l(0:statistic_regions), &
101	sums_divold_l(0:statistic_regions) )
102	ALLOCATE( rdf(nzb+1:nzt) )
103	ALLOCATE( ngp_2dh_outer(nzb:nzt+1,0:statistic_regions), &
104	ngp_2dh_outer_l(nzb:nzt+1,0:statistic_regions), &
105	ngp_2dh_s_inner(nzb:nzt+1,0:statistic_regions), &
106	ngp_2dh_s_inner_l(nzb:nzt+1,0:statistic_regions), &
107	rmask(nys-1:nyn+1,nxl-1:nxr+1,0:statistic_regions), &
108	sums(nzb:nzt+1,pr_palm+max_pr_user), &
109	sums_l(nzb:nzt+1,pr_palm+max_pr_user,0:threads_per_task-1), &
110	sums_l_l(nzb:nzt+1,0:statistic_regions,0:threads_per_task-1), &
111	sums_up_fraction_l(10,3,0:statistic_regions), &
112	sums_wsts_bc_l(nzb:nzt+1,0:statistic_regions), &
113	ts_value(var_ts,0:statistic_regions) )
114	ALLOCATE( km_damp_x(nxl-1:nxr+1), km_damp_y(nys-1:nyn+1) )
115
116	ALLOCATE( rif_1(nys-1:nyn+1,nxl-1:nxr+1), shf_1(nys-1:nyn+1,nxl-1:nxr+1), &
117	ts(nys-1:nyn+1,nxl-1:nxr+1), tswst_1(nys-1:nyn+1,nxl-1:nxr+1), &
118	us(nys-1:nyn+1,nxl-1:nxr+1), usws_1(nys-1:nyn+1,nxl-1:nxr+1), &
119	uswst_1(nys-1:nyn+1,nxl-1:nxr+1), &
120	vsws_1(nys-1:nyn+1,nxl-1:nxr+1), &
121	vswst_1(nys-1:nyn+1,nxl-1:nxr+1), z0(nys-1:nyn+1,nxl-1:nxr+1) )
122
123	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
124	!
125	!-- Leapfrog scheme needs two timelevels of diffusion quantities
126	ALLOCATE( rif_2(nys-1:nyn+1,nxl-1:nxr+1), &
127	shf_2(nys-1:nyn+1,nxl-1:nxr+1), &
128	tswst_2(nys-1:nyn+1,nxl-1:nxr+1), &
129	usws_2(nys-1:nyn+1,nxl-1:nxr+1), &
130	uswst_2(nys-1:nyn+1,nxl-1:nxr+1), &
131	vswst_2(nys-1:nyn+1,nxl-1:nxr+1), &
132	vsws_2(nys-1:nyn+1,nxl-1:nxr+1) )
133	ENDIF
134
135	ALLOCATE( d(nzb+1:nzta,nys:nyna,nxl:nxra), &
136	e_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
137	e_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
138	e_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
139	kh_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
140	km_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
141	p(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
142	pt_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
143	pt_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
144	pt_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
145	tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
146	u_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
147	u_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
148	u_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
149	v_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
150	v_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
151	v_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
152	w_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
153	w_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
154	w_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
155
156	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
157	ALLOCATE( kh_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
158	km_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
159	ENDIF
160
161	IF ( humidity .OR. passive_scalar ) THEN
162	!
163	!-- 2D-humidity/scalar arrays
164	ALLOCATE ( qs(nys-1:nyn+1,nxl-1:nxr+1), &
165	qsws_1(nys-1:nyn+1,nxl-1:nxr+1), &
166	qswst_1(nys-1:nyn+1,nxl-1:nxr+1) )
167
168	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
169	ALLOCATE( qsws_2(nys-1:nyn+1,nxl-1:nxr+1), &
170	qswst_2(nys-1:nyn+1,nxl-1:nxr+1) )
171	ENDIF
172	!
173	!-- 3D-humidity/scalar arrays
174	ALLOCATE( q_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
175	q_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
176	q_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
177
178	!
179	!-- 3D-arrays needed for humidity only
180	IF ( humidity ) THEN
181	ALLOCATE( vpt_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
182
183	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
184	ALLOCATE( vpt_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
185	ENDIF
186
187	IF ( cloud_physics ) THEN
188	!
189	!-- Liquid water content
190	ALLOCATE ( ql_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
191	!
192	!-- Precipitation amount and rate (only needed if output is switched)
193	ALLOCATE( precipitation_amount(nys-1:nyn+1,nxl-1:nxr+1), &
194	precipitation_rate(nys-1:nyn+1,nxl-1:nxr+1) )
195	ENDIF
196
197	IF ( cloud_droplets ) THEN
198	!
199	!-- Liquid water content, change in liquid water content,
200	!-- real volume of particles (with weighting), volume of particles
201	ALLOCATE ( ql_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
202	ql_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
203	ql_v(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
204	ql_vp(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
205	ENDIF
206
207	ENDIF
208
209	ENDIF
210
211	IF ( ocean ) THEN
212	ALLOCATE( saswsb_1(nys-1:nyn+1,nxl-1:nxr+1), &
213	saswst_1(nys-1:nyn+1,nxl-1:nxr+1) )
214	ALLOCATE( rho_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
215	sa_1(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
216	sa_2(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
217	sa_3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
218	rho => rho_1 ! routine calc_mean_profile requires density to be a
219	! pointer
220	IF ( humidity_remote ) THEN
221	ALLOCATE( qswst_remote(nys-1:nyn+1,nxl-1:nxr+1) )
222	qswst_remote = 0.0
223	ENDIF
224	ENDIF
225
226	!
227	!-- 3D-array for storing the dissipation, needed for calculating the sgs
228	!-- particle velocities
229	IF ( use_sgs_for_particles ) THEN
230	ALLOCATE ( diss(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
231	ENDIF
232
233	IF ( dt_dosp /= 9999999.9 ) THEN
234	ALLOCATE( spectrum_x( 1:nx/2, 1:10, 1:10 ), &
235	spectrum_y( 1:ny/2, 1:10, 1:10 ) )
236	ENDIF
237
238	!
239	!-- 3D-arrays for the leaf area density and the canopy drag coefficient
240	IF ( plant_canopy ) THEN
241	ALLOCATE ( lad_s(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
242	lad_u(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
243	lad_v(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
244	lad_w(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1), &
245	cdc(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
246	ENDIF
247
248	!
249	!-- 4D-array for storing the Rif-values at vertical walls
250	IF ( topography /= 'flat' ) THEN
251	ALLOCATE( rif_wall(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1,1:4) )
252	rif_wall = 0.0
253	ENDIF
254
255	!
256	!-- Velocities at nzb+1 needed for volume flow control
257	IF ( conserve_volume_flow ) THEN
258	ALLOCATE( u_nzb_p1_for_vfc(nys:nyn), v_nzb_p1_for_vfc(nxl:nxr) )
259	u_nzb_p1_for_vfc = 0.0
260	v_nzb_p1_for_vfc = 0.0
261	ENDIF
262
263	!
264	!-- Arrays to store velocity data from t-dt and the phase speeds which
265	!-- are needed for radiation boundary conditions
266	IF ( outflow_l ) THEN
267	ALLOCATE( u_m_l(nzb:nzt+1,nys-1:nyn+1,1:2), &
268	v_m_l(nzb:nzt+1,nys-1:nyn+1,0:1), &
269	w_m_l(nzb:nzt+1,nys-1:nyn+1,0:1) )
270	ENDIF
271	IF ( outflow_r ) THEN
272	ALLOCATE( u_m_r(nzb:nzt+1,nys-1:nyn+1,nx-1:nx), &
273	v_m_r(nzb:nzt+1,nys-1:nyn+1,nx-1:nx), &
274	w_m_r(nzb:nzt+1,nys-1:nyn+1,nx-1:nx) )
275	ENDIF
276	IF ( outflow_l .OR. outflow_r ) THEN
277	ALLOCATE( c_u(nzb:nzt+1,nys-1:nyn+1), c_v(nzb:nzt+1,nys-1:nyn+1), &
278	c_w(nzb:nzt+1,nys-1:nyn+1) )
279	ENDIF
280	IF ( outflow_s ) THEN
281	ALLOCATE( u_m_s(nzb:nzt+1,0:1,nxl-1:nxr+1), &
282	v_m_s(nzb:nzt+1,1:2,nxl-1:nxr+1), &
283	w_m_s(nzb:nzt+1,0:1,nxl-1:nxr+1) )
284	ENDIF
285	IF ( outflow_n ) THEN
286	ALLOCATE( u_m_n(nzb:nzt+1,ny-1:ny,nxl-1:nxr+1), &
287	v_m_n(nzb:nzt+1,ny-1:ny,nxl-1:nxr+1), &
288	w_m_n(nzb:nzt+1,ny-1:ny,nxl-1:nxr+1) )
289	ENDIF
290	IF ( outflow_s .OR. outflow_n ) THEN
291	ALLOCATE( c_u(nzb:nzt+1,nxl-1:nxr+1), c_v(nzb:nzt+1,nxl-1:nxr+1), &
292	c_w(nzb:nzt+1,nxl-1:nxr+1) )
293	ENDIF
294
295	!
296	!-- Initial assignment of the pointers
297	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
298
299	rif_m => rif_1; rif => rif_2
300	shf_m => shf_1; shf => shf_2
301	tswst_m => tswst_1; tswst => tswst_2
302	usws_m => usws_1; usws => usws_2
303	uswst_m => uswst_1; uswst => uswst_2
304	vsws_m => vsws_1; vsws => vsws_2
305	vswst_m => vswst_1; vswst => vswst_2
306	e_m => e_1; e => e_2; e_p => e_3; te_m => e_3
307	kh_m => kh_1; kh => kh_2
308	km_m => km_1; km => km_2
309	pt_m => pt_1; pt => pt_2; pt_p => pt_3; tpt_m => pt_3
310	u_m => u_1; u => u_2; u_p => u_3; tu_m => u_3
311	v_m => v_1; v => v_2; v_p => v_3; tv_m => v_3
312	w_m => w_1; w => w_2; w_p => w_3; tw_m => w_3
313
314	IF ( humidity .OR. passive_scalar ) THEN
315	qsws_m => qsws_1; qsws => qsws_2
316	qswst_m => qswst_1; qswst => qswst_2
317	q_m => q_1; q => q_2; q_p => q_3; tq_m => q_3
318	IF ( humidity ) vpt_m => vpt_1; vpt => vpt_2
319	IF ( cloud_physics ) ql => ql_1
320	IF ( cloud_droplets ) THEN
321	ql => ql_1
322	ql_c => ql_2
323	ENDIF
324	ENDIF
325
326	ELSE
327
328	rif => rif_1
329	shf => shf_1
330	tswst => tswst_1
331	usws => usws_1
332	uswst => uswst_1
333	vsws => vsws_1
334	vswst => vswst_1
335	e => e_1; e_p => e_2; te_m => e_3; e_m => e_3
336	kh => kh_1
337	km => km_1
338	pt => pt_1; pt_p => pt_2; tpt_m => pt_3; pt_m => pt_3
339	u => u_1; u_p => u_2; tu_m => u_3; u_m => u_3
340	v => v_1; v_p => v_2; tv_m => v_3; v_m => v_3
341	w => w_1; w_p => w_2; tw_m => w_3; w_m => w_3
342
343	IF ( humidity .OR. passive_scalar ) THEN
344	qsws => qsws_1
345	qswst => qswst_1
346	q => q_1; q_p => q_2; tq_m => q_3; q_m => q_3
347	IF ( humidity ) vpt => vpt_1
348	IF ( cloud_physics ) ql => ql_1
349	IF ( cloud_droplets ) THEN
350	ql => ql_1
351	ql_c => ql_2
352	ENDIF
353	ENDIF
354
355	IF ( ocean ) THEN
356	saswsb => saswsb_1
357	saswst => saswst_1
358	sa => sa_1; sa_p => sa_2; tsa_m => sa_3
359	ENDIF
360
361	ENDIF
362
363	!
364	!-- Initialize model variables
365	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
366	!
367	!-- First model run of a possible job queue.
368	!-- Initial profiles of the variables must be computes.
369	IF ( INDEX( initializing_actions, 'set_1d-model_profiles' ) /= 0 ) THEN
370	!
371	!-- Use solutions of the 1D model as initial profiles,
372	!-- start 1D model
373	CALL init_1d_model
374	!
375	!-- Transfer initial profiles to the arrays of the 3D model
376	DO i = nxl-1, nxr+1
377	DO j = nys-1, nyn+1
378	e(:,j,i) = e1d
379	kh(:,j,i) = kh1d
380	km(:,j,i) = km1d
381	pt(:,j,i) = pt_init
382	u(:,j,i) = u1d
383	v(:,j,i) = v1d
384	ENDDO
385	ENDDO
386
387	IF ( humidity .OR. passive_scalar ) THEN
388	DO i = nxl-1, nxr+1
389	DO j = nys-1, nyn+1
390	q(:,j,i) = q_init
391	ENDDO
392	ENDDO
393	ENDIF
394
395	IF ( .NOT. constant_diffusion ) THEN
396	DO i = nxl-1, nxr+1
397	DO j = nys-1, nyn+1
398	e(:,j,i) = e1d
399	ENDDO
400	ENDDO
401	!
402	!-- Store initial profiles for output purposes etc.
403	hom(:,1,25,:) = SPREAD( l1d, 2, statistic_regions+1 )
404
405	IF ( prandtl_layer ) THEN
406	rif = rif1d(nzb+1)
407	ts = 0.0 ! could actually be computed more accurately in the
408	! 1D model. Update when opportunity arises.
409	us = us1d
410	usws = usws1d
411	vsws = vsws1d
412	ELSE
413	ts = 0.0 ! must be set, because used in
414	rif = 0.0 ! flowste
415	us = 0.0
416	usws = 0.0
417	vsws = 0.0
418	ENDIF
419
420	ELSE
421	e = 0.0 ! must be set, because used in
422	rif = 0.0 ! flowste
423	ts = 0.0
424	us = 0.0
425	usws = 0.0
426	vsws = 0.0
427	ENDIF
428	uswst = top_momentumflux_u
429	vswst = top_momentumflux_v
430
431	!
432	!-- In every case qs = 0.0 (see also pt)
433	!-- This could actually be computed more accurately in the 1D model.
434	!-- Update when opportunity arises!
435	IF ( humidity .OR. passive_scalar ) qs = 0.0
436
437	!
438	!-- inside buildings set velocities back to zero
439	IF ( topography /= 'flat' ) THEN
440	DO i = nxl-1, nxr+1
441	DO j = nys-1, nyn+1
442	u(nzb:nzb_u_inner(j,i),j,i) = 0.0
443	v(nzb:nzb_v_inner(j,i),j,i) = 0.0
444	ENDDO
445	ENDDO
446	IF ( conserve_volume_flow ) THEN
447	IF ( nxr == nx ) THEN
448	DO j = nys, nyn
449	DO k = nzb + 1, nzb_u_inner(j,nx)
450	u_nzb_p1_for_vfc(j) = u1d(k) * dzu(k)
451	ENDDO
452	ENDDO
453	ENDIF
454	IF ( nyn == ny ) THEN
455	DO i = nxl, nxr
456	DO k = nzb + 1, nzb_v_inner(ny,i)
457	v_nzb_p1_for_vfc(i) = v1d(k) * dzu(k)
458	ENDDO
459	ENDDO
460	ENDIF
461	ENDIF
462	!
463	!-- WARNING: The extra boundary conditions set after running the
464	!-- ------- 1D model impose an error on the divergence one layer
465	!-- below the topography; need to correct later
466	!-- ATTENTION: Provisional correction for Piacsek & Williams
467	!-- --------- advection scheme: keep u and v zero one layer below
468	!-- the topography.
469	IF ( ibc_uv_b == 0 ) THEN
470	!
471	!-- Satisfying the Dirichlet condition with an extra layer below
472	!-- the surface where the u and v component change their sign.
473	DO i = nxl-1, nxr+1
474	DO j = nys-1, nyn+1
475	IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = -u(1,j,i)
476	IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = -v(1,j,i)
477	ENDDO
478	ENDDO
479
480	ELSE
481	!
482	!-- Neumann condition
483	DO i = nxl-1, nxr+1
484	DO j = nys-1, nyn+1
485	IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = u(1,j,i)
486	IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = v(1,j,i)
487	ENDDO
488	ENDDO
489
490	ENDIF
491
492	ENDIF
493
494	ELSEIF ( INDEX(initializing_actions, 'set_constant_profiles') /= 0 ) &
495	THEN
496	!
497	!-- Use constructed initial profiles (velocity constant with height,
498	!-- temperature profile with constant gradient)
499	DO i = nxl-1, nxr+1
500	DO j = nys-1, nyn+1
501	pt(:,j,i) = pt_init
502	u(:,j,i) = u_init
503	v(:,j,i) = v_init
504	ENDDO
505	ENDDO
506
507	!
508	!-- Set initial horizontal velocities at the lowest computational grid levels
509	!-- to zero in order to avoid too small time steps caused by the diffusion
510	!-- limit in the initial phase of a run (at k=1, dz/2 occurs in the
511	!-- limiting formula!). The original values are stored to be later used for
512	!-- volume flow control.
513	DO i = nxl-1, nxr+1
514	DO j = nys-1, nyn+1
515	u(nzb:nzb_u_inner(j,i)+1,j,i) = 0.0
516	v(nzb:nzb_v_inner(j,i)+1,j,i) = 0.0
517	ENDDO
518	ENDDO
519	IF ( conserve_volume_flow ) THEN
520	IF ( nxr == nx ) THEN
521	DO j = nys, nyn
522	DO k = nzb + 1, nzb_u_inner(j,nx) + 1
523	u_nzb_p1_for_vfc(j) = u_init(k) * dzu(k)
524	ENDDO
525	ENDDO
526	ENDIF
527	IF ( nyn == ny ) THEN
528	DO i = nxl, nxr
529	DO k = nzb + 1, nzb_v_inner(ny,i) + 1
530	v_nzb_p1_for_vfc(i) = v_init(k) * dzu(k)
531	ENDDO
532	ENDDO
533	ENDIF
534	ENDIF
535
536	IF ( humidity .OR. passive_scalar ) THEN
537	DO i = nxl-1, nxr+1
538	DO j = nys-1, nyn+1
539	q(:,j,i) = q_init
540	ENDDO
541	ENDDO
542	ENDIF
543
544	IF ( ocean ) THEN
545	DO i = nxl-1, nxr+1
546	DO j = nys-1, nyn+1
547	sa(:,j,i) = sa_init
548	ENDDO
549	ENDDO
550	ENDIF
551
552	IF ( constant_diffusion ) THEN
553	km = km_constant
554	kh = km / prandtl_number
555	e = 0.0
556	ELSEIF ( e_init > 0.0 ) THEN
557	DO k = nzb+1, nzt
558	km(k,:,:) = 0.1 * l_grid(k) * SQRT( e_init )
559	ENDDO
560	km(nzb,:,:) = km(nzb+1,:,:)
561	km(nzt+1,:,:) = km(nzt,:,:)
562	kh = km / prandtl_number
563	e = e_init
564	ELSE
565	IF ( .NOT. ocean ) THEN
566	kh = 0.01 ! there must exist an initial diffusion, because
567	km = 0.01 ! otherwise no TKE would be produced by the
568	! production terms, as long as not yet
569	! e = (u/cm)*2 at k=nzb+1
570	ELSE
571	kh = 0.00001
572	km = 0.00001
573	ENDIF
574	e = 0.0
575	ENDIF
576	rif = 0.0
577	ts = 0.0
578	us = 0.0
579	usws = 0.0
580	uswst = top_momentumflux_u
581	vsws = 0.0
582	vswst = top_momentumflux_v
583	IF ( humidity .OR. passive_scalar ) qs = 0.0
584
585	!
586	!-- Compute initial temperature field and other constants used in case
587	!-- of a sloping surface
588	IF ( sloping_surface ) CALL init_slope
589
590	ELSEIF ( INDEX(initializing_actions, 'by_user') /= 0 ) &
591	THEN
592	!
593	!-- Initialization will completely be done by the user
594	CALL user_init_3d_model
595
596	ENDIF
597
598	!
599	!-- apply channel flow boundary condition
600	IF ( TRIM( bc_uv_t ) == 'dirichlet_0' ) THEN
601
602	u(nzt+1,:,:) = 0.0
603	v(nzt+1,:,:) = 0.0
604
605	!-- for the Dirichlet condition to be correctly applied at the top, set
606	!-- ug and vg to zero there
607	ug(nzt+1) = 0.0
608	vg(nzt+1) = 0.0
609
610	ENDIF
611
612	!
613	!-- Calculate virtual potential temperature
614	IF ( humidity ) vpt = pt * ( 1.0 + 0.61 * q )
615
616	!
617	!-- Store initial profiles for output purposes etc.
618	hom(:,1,5,:) = SPREAD( u(:,nys,nxl), 2, statistic_regions+1 )
619	hom(:,1,6,:) = SPREAD( v(:,nys,nxl), 2, statistic_regions+1 )
620	IF ( ibc_uv_b == 0 ) THEN
621	hom(nzb,1,5,:) = -hom(nzb+1,1,5,:) ! due to satisfying the Dirichlet
622	hom(nzb,1,6,:) = -hom(nzb+1,1,6,:) ! condition with an extra layer
623	! below the surface where the u and v component change their sign
624	ENDIF
625	hom(:,1,7,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
626	hom(:,1,23,:) = SPREAD( km(:,nys,nxl), 2, statistic_regions+1 )
627	hom(:,1,24,:) = SPREAD( kh(:,nys,nxl), 2, statistic_regions+1 )
628
629	IF ( ocean ) THEN
630	!
631	!-- Store initial salinity profile
632	hom(:,1,26,:) = SPREAD( sa(:,nys,nxl), 2, statistic_regions+1 )
633	ENDIF
634
635	IF ( humidity ) THEN
636	!
637	!-- Store initial profile of total water content, virtual potential
638	!-- temperature
639	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
640	hom(:,1,29,:) = SPREAD( vpt(:,nys,nxl), 2, statistic_regions+1 )
641	IF ( cloud_physics .OR. cloud_droplets ) THEN
642	!
643	!-- Store initial profile of specific humidity and potential
644	!-- temperature
645	hom(:,1,27,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
646	hom(:,1,28,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
647	ENDIF
648	ENDIF
649
650	IF ( passive_scalar ) THEN
651	!
652	!-- Store initial scalar profile
653	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
654	ENDIF
655
656	!
657	!-- Initialize fluxes at bottom surface
658	IF ( use_surface_fluxes ) THEN
659
660	IF ( constant_heatflux ) THEN
661	!
662	!-- Heat flux is prescribed
663	IF ( random_heatflux ) THEN
664	CALL disturb_heatflux
665	ELSE
666	shf = surface_heatflux
667	!
668	!-- Over topography surface_heatflux is replaced by wall_heatflux(0)
669	IF ( TRIM( topography ) /= 'flat' ) THEN
670	DO i = nxl-1, nxr+1
671	DO j = nys-1, nyn+1
672	IF ( nzb_s_inner(j,i) /= 0 ) THEN
673	shf(j,i) = wall_heatflux(0)
674	ENDIF
675	ENDDO
676	ENDDO
677	ENDIF
678	ENDIF
679	IF ( ASSOCIATED( shf_m ) ) shf_m = shf
680	ENDIF
681
682	!
683	!-- Determine the near-surface water flux
684	IF ( humidity .OR. passive_scalar ) THEN
685	IF ( constant_waterflux ) THEN
686	qsws = surface_waterflux
687	IF ( ASSOCIATED( qsws_m ) ) qsws_m = qsws
688	ENDIF
689	ENDIF
690
691	ENDIF
692
693	!
694	!-- Initialize fluxes at top surface
695	!-- Currently, only the heatflux and salinity flux can be prescribed.
696	!-- The latent flux is zero in this case!
697	IF ( use_top_fluxes ) THEN
698
699	IF ( constant_top_heatflux ) THEN
700	!
701	!-- Heat flux is prescribed
702	tswst = top_heatflux
703	IF ( ASSOCIATED( tswst_m ) ) tswst_m = tswst
704
705	IF ( humidity .OR. passive_scalar ) THEN
706	qswst = 0.0
707	IF ( ASSOCIATED( qswst_m ) ) qswst_m = qswst
708	ENDIF
709
710	IF ( ocean ) THEN
711	saswsb = bottom_salinityflux
712	saswst = top_salinityflux
713	ENDIF
714	ENDIF
715
716	!
717	!-- Initialization in case of a coupled model run
718	IF ( coupling_mode == 'ocean_to_atmosphere' ) THEN
719	tswst = 0.0
720	IF ( ASSOCIATED( tswst_m ) ) tswst_m = tswst
721	ENDIF
722
723	ENDIF
724
725	!
726	!-- Initialize Prandtl layer quantities
727	IF ( prandtl_layer ) THEN
728
729	z0 = roughness_length
730
731	IF ( .NOT. constant_heatflux ) THEN
732	!
733	!-- Surface temperature is prescribed. Here the heat flux cannot be
734	!-- simply estimated, because therefore rif, u* and theta* would have
735	!-- to be computed by iteration. This is why the heat flux is assumed
736	!-- to be zero before the first time step. It approaches its correct
737	!-- value in the course of the first few time steps.
738	shf = 0.0
739	IF ( ASSOCIATED( shf_m ) ) shf_m = 0.0
740	ENDIF
741
742	IF ( humidity .OR. passive_scalar ) THEN
743	IF ( .NOT. constant_waterflux ) THEN
744	qsws = 0.0
745	IF ( ASSOCIATED( qsws_m ) ) qsws_m = 0.0
746	ENDIF
747	ENDIF
748
749	ENDIF
750
751	!
752	!-- Calculate the initial volume flow at the right and north boundary
753	IF ( conserve_volume_flow ) THEN
754
755	volume_flow_initial_l = 0.0
756	volume_flow_area_l = 0.0
757
758	IF ( nxr == nx ) THEN
759	DO j = nys, nyn
760	DO k = nzb_2d(j,nx) + 1, nzt
761	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
762	u(k,j,nx) * dzu(k)
763	volume_flow_area_l(1) = volume_flow_area_l(1) + dzu(k)
764	ENDDO
765	!
766	!-- Correction if velocity at nzb+1 has been set zero further above
767	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
768	u_nzb_p1_for_vfc(j)
769	ENDDO
770	ENDIF
771
772	IF ( nyn == ny ) THEN
773	DO i = nxl, nxr
774	DO k = nzb_2d(ny,i) + 1, nzt
775	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
776	v(k,ny,i) * dzu(k)
777	volume_flow_area_l(2) = volume_flow_area_l(2) + dzu(k)
778	ENDDO
779	!
780	!-- Correction if velocity at nzb+1 has been set zero further above
781	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
782	v_nzb_p1_for_vfc(i)
783	ENDDO
784	ENDIF
785
786	#if defined( __parallel )
787	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
788	2, MPI_REAL, MPI_SUM, comm2d, ierr )
789	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
790	2, MPI_REAL, MPI_SUM, comm2d, ierr )
791	#else
792	volume_flow_initial = volume_flow_initial_l
793	volume_flow_area = volume_flow_area_l
794	#endif
795	ENDIF
796
797	!
798	!-- For the moment, perturbation pressure and vertical velocity are zero
799	p = 0.0; w = 0.0
800
801	!
802	!-- Initialize array sums (must be defined in first call of pres)
803	sums = 0.0
804
805	!
806	!-- Treating cloud physics, liquid water content and precipitation amount
807	!-- are zero at beginning of the simulation
808	IF ( cloud_physics ) THEN
809	ql = 0.0
810	IF ( precipitation ) precipitation_amount = 0.0
811	ENDIF
812
813	!
814	!-- Initialize spectra
815	IF ( dt_dosp /= 9999999.9 ) THEN
816	spectrum_x = 0.0
817	spectrum_y = 0.0
818	ENDIF
819
820	!
821	!-- Impose vortex with vertical axis on the initial velocity profile
822	IF ( INDEX( initializing_actions, 'initialize_vortex' ) /= 0 ) THEN
823	CALL init_rankine
824	ENDIF
825
826	!
827	!-- Impose temperature anomaly (advection test only)
828	IF ( INDEX( initializing_actions, 'initialize_ptanom' ) /= 0 ) THEN
829	CALL init_pt_anomaly
830	ENDIF
831
832	!
833	!-- If required, change the surface temperature at the start of the 3D run
834	IF ( pt_surface_initial_change /= 0.0 ) THEN
835	pt(nzb,:,:) = pt(nzb,:,:) + pt_surface_initial_change
836	ENDIF
837
838	!
839	!-- If required, change the surface humidity/scalar at the start of the 3D
840	!-- run
841	IF ( ( humidity .OR. passive_scalar ) .AND. &
842	q_surface_initial_change /= 0.0 ) THEN
843	q(nzb,:,:) = q(nzb,:,:) + q_surface_initial_change
844	ENDIF
845
846	!
847	!-- Initialize the random number generator (from numerical recipes)
848	CALL random_function_ini
849
850	!
851	!-- Impose random perturbation on the horizontal velocity field and then
852	!-- remove the divergences from the velocity field
853	IF ( create_disturbances ) THEN
854	CALL disturb_field( nzb_u_inner, tend, u )
855	CALL disturb_field( nzb_v_inner, tend, v )
856	n_sor = nsor_ini
857	CALL pres
858	n_sor = nsor
859	ENDIF
860
861	!
862	!-- Once again set the perturbation pressure explicitly to zero in order to
863	!-- assure that it does not generate any divergences in the first time step.
864	!-- At t=0 the velocity field is free of divergence (as constructed above).
865	!-- Divergences being created during a time step are not yet known and thus
866	!-- cannot be corrected during the time step yet.
867	p = 0.0
868
869	!
870	!-- Initialize old and new time levels.
871	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
872	e_m = e; pt_m = pt; u_m = u; v_m = v; w_m = w; kh_m = kh; km_m = km
873	ELSE
874	te_m = 0.0; tpt_m = 0.0; tu_m = 0.0; tv_m = 0.0; tw_m = 0.0
875	ENDIF
876	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
877
878	IF ( humidity .OR. passive_scalar ) THEN
879	IF ( ASSOCIATED( q_m ) ) q_m = q
880	IF ( timestep_scheme(1:5) == 'runge' ) tq_m = 0.0
881	q_p = q
882	IF ( humidity .AND. ASSOCIATED( vpt_m ) ) vpt_m = vpt
883	ENDIF
884
885	IF ( ocean ) THEN
886	tsa_m = 0.0
887	sa_p = sa
888	ENDIF
889
890	!
891	!-- Initialize old timelevels needed for radiation boundary conditions
892	IF ( outflow_l ) THEN
893	u_m_l(:,:,:) = u(:,:,1:2)
894	v_m_l(:,:,:) = v(:,:,0:1)
895	w_m_l(:,:,:) = w(:,:,0:1)
896	ENDIF
897	IF ( outflow_r ) THEN
898	u_m_r(:,:,:) = u(:,:,nx-1:nx)
899	v_m_r(:,:,:) = v(:,:,nx-1:nx)
900	w_m_r(:,:,:) = w(:,:,nx-1:nx)
901	ENDIF
902	IF ( outflow_s ) THEN
903	u_m_s(:,:,:) = u(:,0:1,:)
904	v_m_s(:,:,:) = v(:,1:2,:)
905	w_m_s(:,:,:) = w(:,0:1,:)
906	ENDIF
907	IF ( outflow_n ) THEN
908	u_m_n(:,:,:) = u(:,ny-1:ny,:)
909	v_m_n(:,:,:) = v(:,ny-1:ny,:)
910	w_m_n(:,:,:) = w(:,ny-1:ny,:)
911	ENDIF
912
913	ELSEIF ( TRIM( initializing_actions ) == 'read_restart_data' ) &
914	THEN
915	!
916	!-- Read binary data from restart file
917	CALL read_3d_binary
918
919	!
920	!-- Calculate initial temperature field and other constants used in case
921	!-- of a sloping surface
922	IF ( sloping_surface ) CALL init_slope
923
924	!
925	!-- Initialize new time levels (only done in order to set boundary values
926	!-- including ghost points)
927	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
928	IF ( humidity .OR. passive_scalar ) q_p = q
929	IF ( ocean ) sa_p = sa
930
931	ELSE
932	!
933	!-- Actually this part of the programm should not be reached
934	IF ( myid == 0 ) PRINT*,'+++ init_3d_model: unknown initializing ', &
935	'problem'
936	CALL local_stop
937	ENDIF
938
939	!
940	!-- Initialization of the leaf area density
941	IF ( plant_canopy ) THEN
942
943	SELECT CASE ( TRIM( canopy_mode ) )
944
945	CASE( 'block' )
946
947	DO i = nxl-1, nxr+1
948	DO j = nys-1, nyn+1
949	lad_s(:,j,i) = lad(:)
950	cdc(:,j,i) = drag_coefficient
951	ENDDO
952	ENDDO
953
954	CASE DEFAULT
955
956	!
957	!-- The DEFAULT case is reached either if the parameter
958	!-- canopy mode contains a wrong character string or if the
959	!-- user has coded a special case in the user interface.
960	!-- There, the subroutine user_init_plant_canopy checks
961	!-- which of these two conditions applies.
962	CALL user_init_plant_canopy
963
964	END SELECT
965
966	CALL exchange_horiz( lad_s )
967	CALL exchange_horiz( cdc )
968
969	DO i = nxl, nxr
970	DO j = nys, nyn
971	DO k = nzb, nzt+1
972	lad_u(k,j,i) = 0.5 * ( lad_s(k,j,i-1) + lad_s(k,j,i) )
973	lad_v(k,j,i) = 0.5 * ( lad_s(k,j-1,i) + lad_s(k,j,i) )
974	ENDDO
975	DO k = nzb, nzt
976	lad_w(k,j,i) = 0.5 * ( lad_s(k+1,j,i) + lad_s(k,j,i) )
977	ENDDO
978	ENDDO
979	ENDDO
980
981	lad_w(nzt+1,:,:) = lad_w(nzt,:,:)
982
983	CALL exchange_horiz( lad_u )
984	CALL exchange_horiz( lad_v )
985	CALL exchange_horiz( lad_w )
986
987	ENDIF
988
989	!
990	!-- If required, initialize dvrp-software
991	IF ( dt_dvrp /= 9999999.9 ) CALL init_dvrp
992
993	IF ( ocean ) THEN
994	!
995	!-- Initialize quantities needed for the ocean model
996	CALL init_ocean
997	ELSE
998	!
999	!-- Initialize quantities for handling cloud physics
1000	!-- This routine must be called before init_particles, because
1001	!-- otherwise, array pt_d_t, needed in data_output_dvrp (called by
1002	!-- init_particles) is not defined.
1003	CALL init_cloud_physics
1004	ENDIF
1005
1006	!
1007	!-- If required, initialize particles
1008	IF ( particle_advection ) CALL init_particles
1009
1010	!
1011	!-- Initialize quantities for special advections schemes
1012	CALL init_advec
1013
1014	!
1015	!-- Initialize Rayleigh damping factors
1016	rdf = 0.0
1017	IF ( rayleigh_damping_factor /= 0.0 ) THEN
1018	IF ( .NOT. ocean ) THEN
1019	DO k = nzb+1, nzt
1020	IF ( zu(k) >= rayleigh_damping_height ) THEN
1021	rdf(k) = rayleigh_damping_factor * &
1022	( SIN( pi * 0.5 * ( zu(k) - rayleigh_damping_height ) &
1023	/ ( zu(nzt) - rayleigh_damping_height ) )&
1024	)**2
1025	ENDIF
1026	ENDDO
1027	ELSE
1028	DO k = nzt, nzb+1, -1
1029	IF ( zu(k) <= rayleigh_damping_height ) THEN
1030	rdf(k) = rayleigh_damping_factor * &
1031	( SIN( pi * 0.5 * ( rayleigh_damping_height - zu(k) ) &
1032	/ ( rayleigh_damping_height - zu(nzb+1)))&
1033	)**2
1034	ENDIF
1035	ENDDO
1036	ENDIF
1037	ENDIF
1038
1039	!
1040	!-- Initialize diffusivities used within the outflow damping layer in case of
1041	!-- non-cyclic lateral boundaries. A linear increase is assumed over the first
1042	!-- half of the width of the damping layer
1043	IF ( bc_lr == 'dirichlet/radiation' ) THEN
1044
1045	DO i = nxl-1, nxr+1
1046	IF ( i >= nx - outflow_damping_width ) THEN
1047	km_damp_x(i) = km_damp_max * MIN( 1.0, &
1048	( i - ( nx - outflow_damping_width ) ) / &
1049	REAL( outflow_damping_width/2 ) &
1050	)
1051	ELSE
1052	km_damp_x(i) = 0.0
1053	ENDIF
1054	ENDDO
1055
1056	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
1057
1058	DO i = nxl-1, nxr+1
1059	IF ( i <= outflow_damping_width ) THEN
1060	km_damp_x(i) = km_damp_max * MIN( 1.0, &
1061	( outflow_damping_width - i ) / &
1062	REAL( outflow_damping_width/2 ) &
1063	)
1064	ELSE
1065	km_damp_x(i) = 0.0
1066	ENDIF
1067	ENDDO
1068
1069	ENDIF
1070
1071	IF ( bc_ns == 'dirichlet/radiation' ) THEN
1072
1073	DO j = nys-1, nyn+1
1074	IF ( j >= ny - outflow_damping_width ) THEN
1075	km_damp_y(j) = km_damp_max * MIN( 1.0, &
1076	( j - ( ny - outflow_damping_width ) ) / &
1077	REAL( outflow_damping_width/2 ) &
1078	)
1079	ELSE
1080	km_damp_y(j) = 0.0
1081	ENDIF
1082	ENDDO
1083
1084	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
1085
1086	DO j = nys-1, nyn+1
1087	IF ( j <= outflow_damping_width ) THEN
1088	km_damp_y(j) = km_damp_max * MIN( 1.0, &
1089	( outflow_damping_width - j ) / &
1090	REAL( outflow_damping_width/2 ) &
1091	)
1092	ELSE
1093	km_damp_y(j) = 0.0
1094	ENDIF
1095	ENDDO
1096
1097	ENDIF
1098
1099	!
1100	!-- Initialize local summation arrays for UP flow_statistics. This is necessary
1101	!-- because they may not yet have been initialized when they are called from
1102	!-- flow_statistics (or - depending on the chosen model run - are never
1103	!-- initialized)
1104	sums_divnew_l = 0.0
1105	sums_divold_l = 0.0
1106	sums_l_l = 0.0
1107	sums_up_fraction_l = 0.0
1108	sums_wsts_bc_l = 0.0
1109
1110	!
1111	!-- Pre-set masks for regional statistics. Default is the total model domain.
1112	rmask = 1.0
1113
1114	!
1115	!-- User-defined initializing actions. Check afterwards, if maximum number
1116	!-- of allowed timeseries is not exceeded
1117	CALL user_init
1118
1119	IF ( dots_num > dots_max ) THEN
1120	IF ( myid == 0 ) THEN
1121	PRINT*, '+++ user_init: number of time series quantities exceeds', &
1122	' its maximum of dots_max = ', dots_max
1123	PRINT*, ' Please increase dots_max in modules.f90.'
1124	ENDIF
1125	CALL local_stop
1126	ENDIF
1127
1128	!
1129	!-- Input binary data file is not needed anymore. This line must be placed
1130	!-- after call of user_init!
1131	CALL close_file( 13 )
1132
1133	!
1134	!-- Compute total sum of active mask grid points
1135	!-- ngp_2dh: number of grid points of a horizontal cross section through the
1136	!-- total domain
1137	!-- ngp_3d: number of grid points of the total domain
1138	ngp_2dh_outer_l = 0
1139	ngp_2dh_outer = 0
1140	ngp_2dh_s_inner_l = 0
1141	ngp_2dh_s_inner = 0
1142	ngp_2dh_l = 0
1143	ngp_2dh = 0
1144	ngp_3d_inner_l = 0
1145	ngp_3d_inner = 0
1146	ngp_3d = 0
1147	ngp_sums = ( nz + 2 ) * ( pr_palm + max_pr_user )
1148
1149	DO sr = 0, statistic_regions
1150	DO i = nxl, nxr
1151	DO j = nys, nyn
1152	IF ( rmask(j,i,sr) == 1.0 ) THEN
1153	!
1154	!-- All xy-grid points
1155	ngp_2dh_l(sr) = ngp_2dh_l(sr) + 1
1156	!
1157	!-- xy-grid points above topography
1158	DO k = nzb_s_outer(j,i), nz + 1
1159	ngp_2dh_outer_l(k,sr) = ngp_2dh_outer_l(k,sr) + 1
1160	ENDDO
1161	DO k = nzb_s_inner(j,i), nz + 1
1162	ngp_2dh_s_inner_l(k,sr) = ngp_2dh_s_inner_l(k,sr) + 1
1163	ENDDO
1164	!
1165	!-- All grid points of the total domain above topography
1166	ngp_3d_inner_l(sr) = ngp_3d_inner_l(sr) + &
1167	( nz - nzb_s_inner(j,i) + 2 )
1168	ENDIF
1169	ENDDO
1170	ENDDO
1171	ENDDO
1172
1173	sr = statistic_regions + 1
1174	#if defined( __parallel )
1175	CALL MPI_ALLREDUCE( ngp_2dh_l(0), ngp_2dh(0), sr, MPI_INTEGER, MPI_SUM, &
1176	comm2d, ierr )
1177	CALL MPI_ALLREDUCE( ngp_2dh_outer_l(0,0), ngp_2dh_outer(0,0), (nz+2)*sr, &
1178	MPI_INTEGER, MPI_SUM, comm2d, ierr )
1179	CALL MPI_ALLREDUCE( ngp_2dh_s_inner_l(0,0), ngp_2dh_s_inner(0,0), &
1180	(nz+2)*sr, MPI_INTEGER, MPI_SUM, comm2d, ierr )
1181	CALL MPI_ALLREDUCE( ngp_3d_inner_l(0), ngp_3d_inner(0), sr, MPI_INTEGER, &
1182	MPI_SUM, comm2d, ierr )
1183	#else
1184	ngp_2dh = ngp_2dh_l
1185	ngp_2dh_outer = ngp_2dh_outer_l
1186	ngp_2dh_s_inner = ngp_2dh_s_inner_l
1187	ngp_3d_inner = ngp_3d_inner_l
1188	#endif
1189
1190	ngp_3d = ngp_2dh * ( nz + 2 )
1191
1192	!
1193	!-- Set a lower limit of 1 in order to avoid zero divisions in flow_statistics,
1194	!-- buoyancy, etc. A zero value will occur for cases where all grid points of
1195	!-- the respective subdomain lie below the surface topography
1196	ngp_2dh_outer = MAX( 1, ngp_2dh_outer(:,:) )
1197	ngp_3d_inner = MAX( 1, ngp_3d_inner(:) )
1198
1199	DEALLOCATE( ngp_2dh_l, ngp_2dh_outer_l, ngp_3d_inner_l )
1200
1201
1202	END SUBROUTINE init_3d_model

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