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source: palm/trunk/SOURCE/init_3d_model.f90 @ 801

Last change on this file since 801 was 791, checked in by raasch, 13 years ago
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1	#if defined( __ibmy_special )
2	@PROCESS NOOPTimize
3	#endif
4	SUBROUTINE init_3d_model
5
6	!------------------------------------------------------------------------------!
7	! Current revisions:
8	! ------------------
9	!
10	!
11	! Former revisions:
12	! -----------------
13	! $Id: init_3d_model.f90 791 2011-11-29 03:33:42Z suehring $
14	!
15	! 790 2011-11-29 03:11:20Z raasch
16	! diss is also allocated in case that the Wang kernel is used
17	!
18	! 787 2011-11-28 12:49:05Z heinze $
19	! bugfix: call init_advec in every case - not only for inital runs
20	!
21	! 785 2011-11-28 09:47:19Z raasch
22	! initialization of rdf_sc
23	!
24	! 767 2011-10-14 06:39:12Z raasch
25	! adjustments concerning implementation of prescribed u,v-profiles
26	! bugfix: dirichlet_0 conditions for ug/vg moved to check_parameters
27	!
28	! 759 2011-09-15 13:58:31Z raasch
29	! Splitting of parallel I/O in blocks of PEs
30	! Bugfix: No zero assignments to volume_flow_initial and volume_flow_area in
31	! case of normal restart runs.
32	!
33	! 713 2011-03-30 14:21:21Z suehring
34	! weight_substep and weight_pres are given as fractions.
35	!
36	! 709 2011-03-30 09:31:40Z raasch
37	! formatting adjustments
38	!
39	! 707 2011-03-29 11:39:40Z raasch
40	! p_sub renamed p_loc and allocated depending on the chosen pressure solver,
41	! initial assignments of zero to array p for iterative solvers only,
42	! bc_lr/ns replaced by bc_lr/ns_dirrad/raddir
43	!
44	! 680 2011-02-04 23:16:06Z gryschka
45	! bugfix: volume_flow_control
46	!
47	! 673 2011-01-18 16:19:48Z suehring
48	! weight_substep (moved from advec_ws) and weight_pres added.
49	! Allocate p_sub when using Multigrid or SOR solver.
50	! Call of ws_init moved behind the if requests.
51	!
52	! 667 2010-12-23 12:06:00Z suehring/gryschka
53	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng in loops and
54	! allocation of arrays. Calls of exchange_horiz are modified.
55	! Call ws_init to initialize arrays needed for calculating statisticas and for
56	! optimization when ws-scheme is used.
57	! Initial volume flow is now calculated by using the variable hom_sum.
58	! Therefore the correction of initial volume flow for non-flat topography
59	! removed (removed u_nzb_p1_for_vfc and v_nzb_p1_for_vfc)
60	! Changed surface boundary conditions for u and v in case of ibc_uv_b == 0 from
61	! mirror to Dirichlet boundary conditions (u=v=0), so that k=nzb is
62	! representative for the height z0.
63	! Bugfix: type conversion of '1' to 64bit for the MAX function (ngp_3d_inner)
64	!
65	! 622 2010-12-10 08:08:13Z raasch
66	! optional barriers included in order to speed up collective operations
67	!
68	! 560 2010-09-09 10:06:09Z weinreis
69	! bugfix: correction of calculating ngp_3d for 64 bit
70	!
71	! 485 2010-02-05 10:57:51Z raasch
72	! calculation of ngp_3d + ngp_3d_inner changed because they have now 64 bit
73	!
74	! 407 2009-12-01 15:01:15Z maronga
75	! var_ts is replaced by dots_max
76	! Enabled passive scalar/humidity wall fluxes for non-flat topography
77	!
78	! 388 2009-09-23 09:40:33Z raasch
79	! Initialization of prho added.
80	! bugfix: correction of initial volume flow for non-flat topography
81	! bugfix: zero initialization of arrays within buildings for 'cyclic_fill'
82	! bugfix: avoid that ngp_2dh_s_inner becomes zero
83	! initializing_actions='read_data_for_recycling' renamed to 'cyclic_fill', now
84	! independent of turbulent_inflow
85	! Output of messages replaced by message handling routine.
86	! Set the starting level and the vertical smoothing factor used for
87	! the external pressure gradient
88	! +conserve_volume_flow_mode: 'default', 'initial_profiles', 'inflow_profile'
89	! and 'bulk_velocity'
90	! If the inversion height calculated by the prerun is zero,
91	! inflow_damping_height must be explicitly specified.
92	!
93	! 181 2008-07-30 07:07:47Z raasch
94	! bugfix: zero assignments to tendency arrays in case of restarts,
95	! further extensions and modifications in the initialisation of the plant
96	! canopy model,
97	! allocation of hom_sum moved to parin, initialization of spectrum_x\|y directly
98	! after allocating theses arrays,
99	! read data for recycling added as new initialization option,
100	! dummy allocation for diss
101	!
102	! 138 2007-11-28 10:03:58Z letzel
103	! New counter ngp_2dh_s_inner.
104	! Allow new case bc_uv_t = 'dirichlet_0' for channel flow.
105	! Corrected calculation of initial volume flow for 'set_1d-model_profiles' and
106	! 'set_constant_profiles' in case of buildings in the reference cross-sections.
107	!
108	! 108 2007-08-24 15:10:38Z letzel
109	! Flux initialization in case of coupled runs, +momentum fluxes at top boundary,
110	! +arrays for phase speed c_u, c_v, c_w, indices for u\|v\|w_m_l\|r changed
111	! +qswst_remote in case of atmosphere model with humidity coupled to ocean
112	! Rayleigh damping for ocean, optionally calculate km and kh from initial
113	! TKE e_init
114	!
115	! 97 2007-06-21 08:23:15Z raasch
116	! Initialization of salinity, call of init_ocean
117	!
118	! 87 2007-05-22 15:46:47Z raasch
119	! var_hom and var_sum renamed pr_palm
120	!
121	! 75 2007-03-22 09:54:05Z raasch
122	! Arrays for radiation boundary conditions are allocated (u_m_l, u_m_r, etc.),
123	! bugfix for cases with the outflow damping layer extending over more than one
124	! subdomain, moisture renamed humidity,
125	! new initializing action "by_user" calls user_init_3d_model,
126	! precipitation_amount/rate, ts_value are allocated, +module netcdf_control,
127	! initial velocities at nzb+1 are regarded for volume
128	! flow control in case they have been set zero before (to avoid small timesteps)
129	! -uvmean_outflow, uxrp, vynp eliminated
130	!
131	! 19 2007-02-23 04:53:48Z raasch
132	! +handling of top fluxes
133	!
134	! RCS Log replace by Id keyword, revision history cleaned up
135	!
136	! Revision 1.49 2006/08/22 15:59:07 raasch
137	! No optimization of this file on the ibmy (Yonsei Univ.)
138	!
139	! Revision 1.1 1998/03/09 16:22:22 raasch
140	! Initial revision
141	!
142	!
143	! Description:
144	! ------------
145	! Allocation of arrays and initialization of the 3D model via
146	! a) pre-run the 1D model
147	! or
148	! b) pre-set constant linear profiles
149	! or
150	! c) read values of a previous run
151	!------------------------------------------------------------------------------!
152
153	USE advec_ws
154	USE arrays_3d
155	USE averaging
156	USE cloud_parameters
157	USE constants
158	USE control_parameters
159	USE cpulog
160	USE indices
161	USE interfaces
162	USE model_1d
163	USE netcdf_control
164	USE particle_attributes
165	USE pegrid
166	USE profil_parameter
167	USE random_function_mod
168	USE statistics
169
170	IMPLICIT NONE
171
172	INTEGER :: i, ind_array(1), j, k, sr
173
174	INTEGER, DIMENSION(:), ALLOCATABLE :: ngp_2dh_l
175
176	INTEGER, DIMENSION(:,:), ALLOCATABLE :: ngp_2dh_outer_l, &
177	ngp_2dh_s_inner_l
178
179	REAL :: a, b
180
181	REAL, DIMENSION(1:2) :: volume_flow_area_l, volume_flow_initial_l
182
183	REAL, DIMENSION(:), ALLOCATABLE :: ngp_3d_inner_l, ngp_3d_inner_tmp
184
185
186	!
187	!-- Allocate arrays
188	ALLOCATE( ngp_2dh(0:statistic_regions), ngp_2dh_l(0:statistic_regions), &
189	ngp_3d(0:statistic_regions), &
190	ngp_3d_inner(0:statistic_regions), &
191	ngp_3d_inner_l(0:statistic_regions), &
192	ngp_3d_inner_tmp(0:statistic_regions), &
193	sums_divnew_l(0:statistic_regions), &
194	sums_divold_l(0:statistic_regions) )
195	ALLOCATE( dp_smooth_factor(nzb:nzt), rdf(nzb+1:nzt), rdf_sc(nzb+1:nzt) )
196	ALLOCATE( ngp_2dh_outer(nzb:nzt+1,0:statistic_regions), &
197	ngp_2dh_outer_l(nzb:nzt+1,0:statistic_regions), &
198	ngp_2dh_s_inner(nzb:nzt+1,0:statistic_regions), &
199	ngp_2dh_s_inner_l(nzb:nzt+1,0:statistic_regions), &
200	rmask(nysg:nyng,nxlg:nxrg,0:statistic_regions), &
201	sums(nzb:nzt+1,pr_palm+max_pr_user), &
202	sums_l(nzb:nzt+1,pr_palm+max_pr_user,0:threads_per_task-1), &
203	sums_l_l(nzb:nzt+1,0:statistic_regions,0:threads_per_task-1), &
204	sums_up_fraction_l(10,3,0:statistic_regions), &
205	sums_wsts_bc_l(nzb:nzt+1,0:statistic_regions), &
206	ts_value(dots_max,0:statistic_regions) )
207	ALLOCATE( km_damp_x(nxlg:nxrg), km_damp_y(nysg:nyng) )
208
209	ALLOCATE( rif_1(nysg:nyng,nxlg:nxrg), shf_1(nysg:nyng,nxlg:nxrg), &
210	ts(nysg:nyng,nxlg:nxrg), tswst_1(nysg:nyng,nxlg:nxrg), &
211	us(nysg:nyng,nxlg:nxrg), usws_1(nysg:nyng,nxlg:nxrg), &
212	uswst_1(nysg:nyng,nxlg:nxrg), &
213	vsws_1(nysg:nyng,nxlg:nxrg), &
214	vswst_1(nysg:nyng,nxlg:nxrg), z0(nysg:nyng,nxlg:nxrg) )
215
216	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
217	!
218	!-- Leapfrog scheme needs two timelevels of diffusion quantities
219	ALLOCATE( rif_2(nysg:nyng,nxlg:nxrg), &
220	shf_2(nysg:nyng,nxlg:nxrg), &
221	tswst_2(nysg:nyng,nxlg:nxrg), &
222	usws_2(nysg:nyng,nxlg:nxrg), &
223	uswst_2(nysg:nyng,nxlg:nxrg), &
224	vswst_2(nysg:nyng,nxlg:nxrg), &
225	vsws_2(nysg:nyng,nxlg:nxrg) )
226	ENDIF
227
228	ALLOCATE( d(nzb+1:nzta,nys:nyna,nxl:nxra), &
229	e_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
230	e_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
231	e_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
232	kh_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
233	km_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
234	p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
235	pt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
236	pt_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
237	pt_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
238	tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
239	u_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
240	u_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
241	u_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
242	v_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
243	v_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
244	v_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
245	w_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
246	w_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
247	w_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
248	!
249	!-- Following array is required for perturbation pressure within the iterative
250	!-- pressure solvers. For the multistep schemes (Runge-Kutta), array p holds
251	!-- the weighted average of the substeps and cannot be used in the Poisson
252	!-- solver.
253	IF ( psolver == 'sor' ) THEN
254	ALLOCATE( p_loc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
255	ELSEIF ( psolver == 'multigrid' ) THEN
256	!
257	!-- For performance reasons, multigrid is using one ghost layer only
258	ALLOCATE( p_loc(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
259	ENDIF
260
261	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
262	ALLOCATE( kh_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
263	km_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
264	ENDIF
265
266	IF ( humidity .OR. passive_scalar ) THEN
267	!
268	!-- 2D-humidity/scalar arrays
269	ALLOCATE ( qs(nysg:nyng,nxlg:nxrg), &
270	qsws_1(nysg:nyng,nxlg:nxrg), &
271	qswst_1(nysg:nyng,nxlg:nxrg) )
272
273	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
274	ALLOCATE( qsws_2(nysg:nyng,nxlg:nxrg), &
275	qswst_2(nysg:nyng,nxlg:nxrg) )
276	ENDIF
277	!
278	!-- 3D-humidity/scalar arrays
279	ALLOCATE( q_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
280	q_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
281	q_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
282
283	!
284	!-- 3D-arrays needed for humidity only
285	IF ( humidity ) THEN
286	ALLOCATE( vpt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
287
288	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
289	ALLOCATE( vpt_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
290	ENDIF
291
292	IF ( cloud_physics ) THEN
293	!
294	!-- Liquid water content
295	ALLOCATE ( ql_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
296	!
297	!-- Precipitation amount and rate (only needed if output is switched)
298	ALLOCATE( precipitation_amount(nysg:nyng,nxlg:nxrg), &
299	precipitation_rate(nysg:nyng,nxlg:nxrg) )
300	ENDIF
301
302	IF ( cloud_droplets ) THEN
303	!
304	!-- Liquid water content, change in liquid water content,
305	!-- real volume of particles (with weighting), volume of particles
306	ALLOCATE ( ql_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
307	ql_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
308	ql_v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
309	ql_vp(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
310	ENDIF
311
312	ENDIF
313
314	ENDIF
315
316	IF ( ocean ) THEN
317	ALLOCATE( saswsb_1(nysg:nyng,nxlg:nxrg), &
318	saswst_1(nysg:nyng,nxlg:nxrg) )
319	ALLOCATE( prho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
320	rho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
321	sa_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
322	sa_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
323	sa_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
324	prho => prho_1
325	rho => rho_1 ! routines calc_mean_profile and diffusion_e require
326	! density to be apointer
327	IF ( humidity_remote ) THEN
328	ALLOCATE( qswst_remote(nysg:nyng,nxlg:nxrg))
329	qswst_remote = 0.0
330	ENDIF
331	ENDIF
332
333	!
334	!-- 3D-array for storing the dissipation, needed for calculating the sgs
335	!-- particle velocities
336	IF ( use_sgs_for_particles .OR. wang_collision_kernel ) THEN
337	ALLOCATE ( diss(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
338	ELSE
339	ALLOCATE ( diss(2,2,2) ) ! required because diss is used as a
340	! formal parameter
341	ENDIF
342
343	IF ( dt_dosp /= 9999999.9 ) THEN
344	ALLOCATE( spectrum_x( 1:nx/2, 1:10, 1:10 ), &
345	spectrum_y( 1:ny/2, 1:10, 1:10 ) )
346	spectrum_x = 0.0
347	spectrum_y = 0.0
348	ENDIF
349
350	!
351	!-- 3D-arrays for the leaf area density and the canopy drag coefficient
352	IF ( plant_canopy ) THEN
353	ALLOCATE ( lad_s(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
354	lad_u(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
355	lad_v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
356	lad_w(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
357	cdc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
358
359	IF ( passive_scalar ) THEN
360	ALLOCATE ( sls(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
361	sec(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
362	ENDIF
363
364	IF ( cthf /= 0.0 ) THEN
365	ALLOCATE ( lai(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
366	canopy_heat_flux(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
367	ENDIF
368
369	ENDIF
370
371	!
372	!-- 4D-array for storing the Rif-values at vertical walls
373	IF ( topography /= 'flat' ) THEN
374	ALLOCATE( rif_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg,1:4) )
375	rif_wall = 0.0
376	ENDIF
377
378	!
379	!-- Arrays to store velocity data from t-dt and the phase speeds which
380	!-- are needed for radiation boundary conditions
381	IF ( outflow_l ) THEN
382	ALLOCATE( u_m_l(nzb:nzt+1,nysg:nyng,1:2), &
383	v_m_l(nzb:nzt+1,nysg:nyng,0:1), &
384	w_m_l(nzb:nzt+1,nysg:nyng,0:1) )
385	ENDIF
386	IF ( outflow_r ) THEN
387	ALLOCATE( u_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
388	v_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
389	w_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx) )
390	ENDIF
391	IF ( outflow_l .OR. outflow_r ) THEN
392	ALLOCATE( c_u(nzb:nzt+1,nysg:nyng), c_v(nzb:nzt+1,nysg:nyng), &
393	c_w(nzb:nzt+1,nysg:nyng) )
394	ENDIF
395	IF ( outflow_s ) THEN
396	ALLOCATE( u_m_s(nzb:nzt+1,0:1,nxlg:nxrg), &
397	v_m_s(nzb:nzt+1,1:2,nxlg:nxrg), &
398	w_m_s(nzb:nzt+1,0:1,nxlg:nxrg) )
399	ENDIF
400	IF ( outflow_n ) THEN
401	ALLOCATE( u_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
402	v_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
403	w_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg) )
404	ENDIF
405	IF ( outflow_s .OR. outflow_n ) THEN
406	ALLOCATE( c_u(nzb:nzt+1,nxlg:nxrg), c_v(nzb:nzt+1,nxlg:nxrg), &
407	c_w(nzb:nzt+1,nxlg:nxrg) )
408	ENDIF
409
410	!
411	!-- Initial assignment of the pointers
412	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
413
414	rif_m => rif_1; rif => rif_2
415	shf_m => shf_1; shf => shf_2
416	tswst_m => tswst_1; tswst => tswst_2
417	usws_m => usws_1; usws => usws_2
418	uswst_m => uswst_1; uswst => uswst_2
419	vsws_m => vsws_1; vsws => vsws_2
420	vswst_m => vswst_1; vswst => vswst_2
421	e_m => e_1; e => e_2; e_p => e_3; te_m => e_3
422	kh_m => kh_1; kh => kh_2
423	km_m => km_1; km => km_2
424	pt_m => pt_1; pt => pt_2; pt_p => pt_3; tpt_m => pt_3
425	u_m => u_1; u => u_2; u_p => u_3; tu_m => u_3
426	v_m => v_1; v => v_2; v_p => v_3; tv_m => v_3
427	w_m => w_1; w => w_2; w_p => w_3; tw_m => w_3
428
429	IF ( humidity .OR. passive_scalar ) THEN
430	qsws_m => qsws_1; qsws => qsws_2
431	qswst_m => qswst_1; qswst => qswst_2
432	q_m => q_1; q => q_2; q_p => q_3; tq_m => q_3
433	IF ( humidity ) vpt_m => vpt_1; vpt => vpt_2
434	IF ( cloud_physics ) ql => ql_1
435	IF ( cloud_droplets ) THEN
436	ql => ql_1
437	ql_c => ql_2
438	ENDIF
439	ENDIF
440
441	ELSE
442
443	rif => rif_1
444	shf => shf_1
445	tswst => tswst_1
446	usws => usws_1
447	uswst => uswst_1
448	vsws => vsws_1
449	vswst => vswst_1
450	e => e_1; e_p => e_2; te_m => e_3; e_m => e_3
451	kh => kh_1
452	km => km_1
453	pt => pt_1; pt_p => pt_2; tpt_m => pt_3; pt_m => pt_3
454	u => u_1; u_p => u_2; tu_m => u_3; u_m => u_3
455	v => v_1; v_p => v_2; tv_m => v_3; v_m => v_3
456	w => w_1; w_p => w_2; tw_m => w_3; w_m => w_3
457
458	IF ( humidity .OR. passive_scalar ) THEN
459	qsws => qsws_1
460	qswst => qswst_1
461	q => q_1; q_p => q_2; tq_m => q_3; q_m => q_3
462	IF ( humidity ) vpt => vpt_1
463	IF ( cloud_physics ) ql => ql_1
464	IF ( cloud_droplets ) THEN
465	ql => ql_1
466	ql_c => ql_2
467	ENDIF
468	ENDIF
469
470	IF ( ocean ) THEN
471	saswsb => saswsb_1
472	saswst => saswst_1
473	sa => sa_1; sa_p => sa_2; tsa_m => sa_3
474	ENDIF
475
476	ENDIF
477
478	!
479	!-- Allocate arrays containing the RK coefficient for calculation of
480	!-- perturbation pressure and turbulent fluxes. At this point values are
481	!-- set for pressure calculation during initialization (where no timestep
482	!-- is done). Further below the values needed within the timestep scheme
483	!-- will be set.
484	ALLOCATE( weight_substep(1:intermediate_timestep_count_max), &
485	weight_pres(1:intermediate_timestep_count_max) )
486	weight_substep = 1.0
487	weight_pres = 1.0
488	intermediate_timestep_count = 1 ! needed when simulated_time = 0.0
489
490	!
491	!-- Initialize model variables
492	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
493	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
494	!
495	!-- First model run of a possible job queue.
496	!-- Initial profiles of the variables must be computes.
497	IF ( INDEX( initializing_actions, 'set_1d-model_profiles' ) /= 0 ) THEN
498	!
499	!-- Use solutions of the 1D model as initial profiles,
500	!-- start 1D model
501	CALL init_1d_model
502	!
503	!-- Transfer initial profiles to the arrays of the 3D model
504	DO i = nxlg, nxrg
505	DO j = nysg, nyng
506	e(:,j,i) = e1d
507	kh(:,j,i) = kh1d
508	km(:,j,i) = km1d
509	pt(:,j,i) = pt_init
510	u(:,j,i) = u1d
511	v(:,j,i) = v1d
512	ENDDO
513	ENDDO
514
515	IF ( humidity .OR. passive_scalar ) THEN
516	DO i = nxlg, nxrg
517	DO j = nysg, nyng
518	q(:,j,i) = q_init
519	ENDDO
520	ENDDO
521	ENDIF
522
523	IF ( .NOT. constant_diffusion ) THEN
524	DO i = nxlg, nxrg
525	DO j = nysg, nyng
526	e(:,j,i) = e1d
527	ENDDO
528	ENDDO
529	!
530	!-- Store initial profiles for output purposes etc.
531	hom(:,1,25,:) = SPREAD( l1d, 2, statistic_regions+1 )
532
533	IF ( prandtl_layer ) THEN
534	rif = rif1d(nzb+1)
535	ts = 0.0 ! could actually be computed more accurately in the
536	! 1D model. Update when opportunity arises.
537	us = us1d
538	usws = usws1d
539	vsws = vsws1d
540	ELSE
541	ts = 0.0 ! must be set, because used in
542	rif = 0.0 ! flowste
543	us = 0.0
544	usws = 0.0
545	vsws = 0.0
546	ENDIF
547
548	ELSE
549	e = 0.0 ! must be set, because used in
550	rif = 0.0 ! flowste
551	ts = 0.0
552	us = 0.0
553	usws = 0.0
554	vsws = 0.0
555	ENDIF
556	uswst = top_momentumflux_u
557	vswst = top_momentumflux_v
558
559	!
560	!-- In every case qs = 0.0 (see also pt)
561	!-- This could actually be computed more accurately in the 1D model.
562	!-- Update when opportunity arises!
563	IF ( humidity .OR. passive_scalar ) qs = 0.0
564
565	!
566	!-- inside buildings set velocities back to zero
567	IF ( topography /= 'flat' ) THEN
568	DO i = nxl-1, nxr+1
569	DO j = nys-1, nyn+1
570	u(nzb:nzb_u_inner(j,i),j,i) = 0.0
571	v(nzb:nzb_v_inner(j,i),j,i) = 0.0
572	ENDDO
573	ENDDO
574
575	!
576	!-- WARNING: The extra boundary conditions set after running the
577	!-- ------- 1D model impose an error on the divergence one layer
578	!-- below the topography; need to correct later
579	!-- ATTENTION: Provisional correction for Piacsek & Williams
580	!-- --------- advection scheme: keep u and v zero one layer below
581	!-- the topography.
582	!
583	!-- Following was removed, because mirror boundary condition are
584	!-- replaced by dirichlet boundary conditions
585	!
586	! IF ( ibc_uv_b == 0 ) THEN
587	!!
588	!!-- Satisfying the Dirichlet condition with an extra layer below
589	!!-- the surface where the u and v component change their sign.
590	! DO i = nxl-1, nxr+1
591	! DO j = nys-1, nyn+1
592	! IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = -u(1,j,i)
593	! IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = -v(1,j,i)
594	! ENDDO
595	! ENDDO
596	!
597	! ELSE
598	IF ( ibc_uv_b == 1 ) THEN
599	!
600	!-- Neumann condition
601	DO i = nxl-1, nxr+1
602	DO j = nys-1, nyn+1
603	IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = u(1,j,i)
604	IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = v(1,j,i)
605	ENDDO
606	ENDDO
607
608	ENDIF
609
610	ENDIF
611
612	ELSEIF ( INDEX(initializing_actions, 'set_constant_profiles') /= 0 ) &
613	THEN
614	!
615	!-- Use constructed initial profiles (velocity constant with height,
616	!-- temperature profile with constant gradient)
617	DO i = nxlg, nxrg
618	DO j = nysg, nyng
619	pt(:,j,i) = pt_init
620	u(:,j,i) = u_init
621	v(:,j,i) = v_init
622	ENDDO
623	ENDDO
624
625	!
626	!-- Set initial horizontal velocities at the lowest computational grid
627	!-- levels to zero in order to avoid too small time steps caused by the
628	!-- diffusion limit in the initial phase of a run (at k=1, dz/2 occurs
629	!-- in the limiting formula!). The original values are stored to be later
630	!-- used for volume flow control.
631	DO i = nxlg, nxrg
632	DO j = nysg, nyng
633	u(nzb:nzb_u_inner(j,i)+1,j,i) = 0.0
634	v(nzb:nzb_v_inner(j,i)+1,j,i) = 0.0
635	ENDDO
636	ENDDO
637
638	IF ( humidity .OR. passive_scalar ) THEN
639	DO i = nxlg, nxrg
640	DO j = nysg, nyng
641	q(:,j,i) = q_init
642	ENDDO
643	ENDDO
644	ENDIF
645
646	IF ( ocean ) THEN
647	DO i = nxlg, nxrg
648	DO j = nysg, nyng
649	sa(:,j,i) = sa_init
650	ENDDO
651	ENDDO
652	ENDIF
653
654	IF ( constant_diffusion ) THEN
655	km = km_constant
656	kh = km / prandtl_number
657	e = 0.0
658	ELSEIF ( e_init > 0.0 ) THEN
659	DO k = nzb+1, nzt
660	km(k,:,:) = 0.1 * l_grid(k) * SQRT( e_init )
661	ENDDO
662	km(nzb,:,:) = km(nzb+1,:,:)
663	km(nzt+1,:,:) = km(nzt,:,:)
664	kh = km / prandtl_number
665	e = e_init
666	ELSE
667	IF ( .NOT. ocean ) THEN
668	kh = 0.01 ! there must exist an initial diffusion, because
669	km = 0.01 ! otherwise no TKE would be produced by the
670	! production terms, as long as not yet
671	! e = (u/cm)*2 at k=nzb+1
672	ELSE
673	kh = 0.00001
674	km = 0.00001
675	ENDIF
676	e = 0.0
677	ENDIF
678	rif = 0.0
679	ts = 0.0
680	us = 0.0
681	usws = 0.0
682	uswst = top_momentumflux_u
683	vsws = 0.0
684	vswst = top_momentumflux_v
685	IF ( humidity .OR. passive_scalar ) qs = 0.0
686
687	!
688	!-- Compute initial temperature field and other constants used in case
689	!-- of a sloping surface
690	IF ( sloping_surface ) CALL init_slope
691
692	ELSEIF ( INDEX(initializing_actions, 'by_user') /= 0 ) &
693	THEN
694	!
695	!-- Initialization will completely be done by the user
696	CALL user_init_3d_model
697
698	ENDIF
699	!
700	!-- Bottom boundary
701	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
702	u(nzb,:,:) = 0.0
703	v(nzb,:,:) = 0.0
704	ENDIF
705
706	!
707	!-- Apply channel flow boundary condition
708	IF ( TRIM( bc_uv_t ) == 'dirichlet_0' ) THEN
709	u(nzt+1,:,:) = 0.0
710	v(nzt+1,:,:) = 0.0
711	ENDIF
712
713	!
714	!-- Calculate virtual potential temperature
715	IF ( humidity ) vpt = pt * ( 1.0 + 0.61 * q )
716
717	!
718	!-- Store initial profiles for output purposes etc.
719	hom(:,1,5,:) = SPREAD( u(:,nys,nxl), 2, statistic_regions+1 )
720	hom(:,1,6,:) = SPREAD( v(:,nys,nxl), 2, statistic_regions+1 )
721	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2) THEN
722	hom(nzb,1,5,:) = 0.0
723	hom(nzb,1,6,:) = 0.0
724	ENDIF
725	hom(:,1,7,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
726	hom(:,1,23,:) = SPREAD( km(:,nys,nxl), 2, statistic_regions+1 )
727	hom(:,1,24,:) = SPREAD( kh(:,nys,nxl), 2, statistic_regions+1 )
728
729	IF ( ocean ) THEN
730	!
731	!-- Store initial salinity profile
732	hom(:,1,26,:) = SPREAD( sa(:,nys,nxl), 2, statistic_regions+1 )
733	ENDIF
734
735	IF ( humidity ) THEN
736	!
737	!-- Store initial profile of total water content, virtual potential
738	!-- temperature
739	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
740	hom(:,1,29,:) = SPREAD( vpt(:,nys,nxl), 2, statistic_regions+1 )
741	IF ( cloud_physics .OR. cloud_droplets ) THEN
742	!
743	!-- Store initial profile of specific humidity and potential
744	!-- temperature
745	hom(:,1,27,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
746	hom(:,1,28,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
747	ENDIF
748	ENDIF
749
750	IF ( passive_scalar ) THEN
751	!
752	!-- Store initial scalar profile
753	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
754	ENDIF
755
756	!
757	!-- Initialize fluxes at bottom surface
758	IF ( use_surface_fluxes ) THEN
759
760	IF ( constant_heatflux ) THEN
761	!
762	!-- Heat flux is prescribed
763	IF ( random_heatflux ) THEN
764	CALL disturb_heatflux
765	ELSE
766	shf = surface_heatflux
767	!
768	!-- Over topography surface_heatflux is replaced by wall_heatflux(0)
769	IF ( TRIM( topography ) /= 'flat' ) THEN
770	DO i = nxlg, nxrg
771	DO j = nysg, nyng
772	IF ( nzb_s_inner(j,i) /= 0 ) THEN
773	shf(j,i) = wall_heatflux(0)
774	ENDIF
775	ENDDO
776	ENDDO
777	ENDIF
778	ENDIF
779	IF ( ASSOCIATED( shf_m ) ) shf_m = shf
780	ENDIF
781
782	!
783	!-- Determine the near-surface water flux
784	IF ( humidity .OR. passive_scalar ) THEN
785	IF ( constant_waterflux ) THEN
786	qsws = surface_waterflux
787	!
788	!-- Over topography surface_waterflux is replaced by
789	!-- wall_humidityflux(0)
790	IF ( TRIM( topography ) /= 'flat' ) THEN
791	wall_qflux = wall_humidityflux
792	DO i = nxlg, nxrg
793	DO j = nysg, nyng
794	IF ( nzb_s_inner(j,i) /= 0 ) THEN
795	qsws(j,i) = wall_qflux(0)
796	ENDIF
797	ENDDO
798	ENDDO
799	ENDIF
800	IF ( ASSOCIATED( qsws_m ) ) qsws_m = qsws
801	ENDIF
802	ENDIF
803
804	ENDIF
805
806	!
807	!-- Initialize fluxes at top surface
808	!-- Currently, only the heatflux and salinity flux can be prescribed.
809	!-- The latent flux is zero in this case!
810	IF ( use_top_fluxes ) THEN
811
812	IF ( constant_top_heatflux ) THEN
813	!
814	!-- Heat flux is prescribed
815	tswst = top_heatflux
816	IF ( ASSOCIATED( tswst_m ) ) tswst_m = tswst
817
818	IF ( humidity .OR. passive_scalar ) THEN
819	qswst = 0.0
820	IF ( ASSOCIATED( qswst_m ) ) qswst_m = qswst
821	ENDIF
822
823	IF ( ocean ) THEN
824	saswsb = bottom_salinityflux
825	saswst = top_salinityflux
826	ENDIF
827	ENDIF
828
829	!
830	!-- Initialization in case of a coupled model run
831	IF ( coupling_mode == 'ocean_to_atmosphere' ) THEN
832	tswst = 0.0
833	IF ( ASSOCIATED( tswst_m ) ) tswst_m = tswst
834	ENDIF
835
836	ENDIF
837
838	!
839	!-- Initialize Prandtl layer quantities
840	IF ( prandtl_layer ) THEN
841
842	z0 = roughness_length
843
844	IF ( .NOT. constant_heatflux ) THEN
845	!
846	!-- Surface temperature is prescribed. Here the heat flux cannot be
847	!-- simply estimated, because therefore rif, u* and theta* would have
848	!-- to be computed by iteration. This is why the heat flux is assumed
849	!-- to be zero before the first time step. It approaches its correct
850	!-- value in the course of the first few time steps.
851	shf = 0.0
852	IF ( ASSOCIATED( shf_m ) ) shf_m = 0.0
853	ENDIF
854
855	IF ( humidity .OR. passive_scalar ) THEN
856	IF ( .NOT. constant_waterflux ) THEN
857	qsws = 0.0
858	IF ( ASSOCIATED( qsws_m ) ) qsws_m = 0.0
859	ENDIF
860	ENDIF
861
862	ENDIF
863
864
865	!
866	!-- For the moment, vertical velocity is zero
867	w = 0.0
868
869	!
870	!-- Initialize array sums (must be defined in first call of pres)
871	sums = 0.0
872
873	!
874	!-- In case of iterative solvers, p must get an initial value
875	IF ( psolver == 'multigrid' .OR. psolver == 'sor' ) p = 0.0
876
877	!
878	!-- Treating cloud physics, liquid water content and precipitation amount
879	!-- are zero at beginning of the simulation
880	IF ( cloud_physics ) THEN
881	ql = 0.0
882	IF ( precipitation ) precipitation_amount = 0.0
883	ENDIF
884	!
885	!-- Impose vortex with vertical axis on the initial velocity profile
886	IF ( INDEX( initializing_actions, 'initialize_vortex' ) /= 0 ) THEN
887	CALL init_rankine
888	ENDIF
889
890	!
891	!-- Impose temperature anomaly (advection test only)
892	IF ( INDEX( initializing_actions, 'initialize_ptanom' ) /= 0 ) THEN
893	CALL init_pt_anomaly
894	ENDIF
895
896	!
897	!-- If required, change the surface temperature at the start of the 3D run
898	IF ( pt_surface_initial_change /= 0.0 ) THEN
899	pt(nzb,:,:) = pt(nzb,:,:) + pt_surface_initial_change
900	ENDIF
901
902	!
903	!-- If required, change the surface humidity/scalar at the start of the 3D
904	!-- run
905	IF ( ( humidity .OR. passive_scalar ) .AND. &
906	q_surface_initial_change /= 0.0 ) THEN
907	q(nzb,:,:) = q(nzb,:,:) + q_surface_initial_change
908	ENDIF
909
910	!
911	!-- Initialize the random number generator (from numerical recipes)
912	CALL random_function_ini
913
914	!
915	!-- Initialize old and new time levels.
916	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
917	e_m = e; pt_m = pt; u_m = u; v_m = v; w_m = w; kh_m = kh; km_m = km
918	ELSE
919	te_m = 0.0; tpt_m = 0.0; tu_m = 0.0; tv_m = 0.0; tw_m = 0.0
920	ENDIF
921	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
922
923	IF ( humidity .OR. passive_scalar ) THEN
924	IF ( ASSOCIATED( q_m ) ) q_m = q
925	IF ( timestep_scheme(1:5) == 'runge' ) tq_m = 0.0
926	q_p = q
927	IF ( humidity .AND. ASSOCIATED( vpt_m ) ) vpt_m = vpt
928	ENDIF
929
930	IF ( ocean ) THEN
931	tsa_m = 0.0
932	sa_p = sa
933	ENDIF
934
935
936	ELSEIF ( TRIM( initializing_actions ) == 'read_restart_data' .OR. &
937	TRIM( initializing_actions ) == 'cyclic_fill' ) &
938	THEN
939	!
940	!-- When reading data for cyclic fill of 3D prerun data files, read
941	!-- some of the global variables from the restart file which are required
942	!-- for initializing the inflow
943	IF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
944
945	DO i = 0, io_blocks-1
946	IF ( i == io_group ) THEN
947	CALL read_parts_of_var_list
948	CALL close_file( 13 )
949	ENDIF
950	#if defined( __parallel )
951	CALL MPI_BARRIER( comm2d, ierr )
952	#endif
953	ENDDO
954
955	ENDIF
956
957	!
958	!-- Read binary data from restart file
959	DO i = 0, io_blocks-1
960	IF ( i == io_group ) THEN
961	CALL read_3d_binary
962	ENDIF
963	#if defined( __parallel )
964	CALL MPI_BARRIER( comm2d, ierr )
965	#endif
966	ENDDO
967
968	!
969	!-- Initialization of the turbulence recycling method
970	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. &
971	turbulent_inflow ) THEN
972	!
973	!-- First store the profiles to be used at the inflow.
974	!-- These profiles are the (temporally) and horizontally averaged vertical
975	!-- profiles from the prerun. Alternatively, prescribed profiles
976	!-- for u,v-components can be used.
977	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
978
979	IF ( use_prescribed_profile_data ) THEN
980	mean_inflow_profiles(:,1) = u_init ! u
981	mean_inflow_profiles(:,2) = v_init ! v
982	ELSE
983	mean_inflow_profiles(:,1) = hom_sum(:,1,0) ! u
984	mean_inflow_profiles(:,2) = hom_sum(:,2,0) ! v
985	ENDIF
986	mean_inflow_profiles(:,4) = hom_sum(:,4,0) ! pt
987	mean_inflow_profiles(:,5) = hom_sum(:,8,0) ! e
988
989	!
990	!-- If necessary, adjust the horizontal flow field to the prescribed
991	!-- profiles
992	IF ( use_prescribed_profile_data ) THEN
993	DO i = nxlg, nxrg
994	DO j = nysg, nyng
995	DO k = nzb, nzt+1
996	u(k,j,i) = u(k,j,i) - hom_sum(k,1,0) + u_init(k)
997	v(k,j,i) = v(k,j,i) - hom_sum(k,2,0) + v_init(k)
998	ENDDO
999	ENDDO
1000	ENDDO
1001	ENDIF
1002
1003	!
1004	!-- Use these mean profiles at the inflow (provided that Dirichlet
1005	!-- conditions are used)
1006	IF ( inflow_l ) THEN
1007	DO j = nysg, nyng
1008	DO k = nzb, nzt+1
1009	u(k,j,nxlg:-1) = mean_inflow_profiles(k,1)
1010	v(k,j,nxlg:-1) = mean_inflow_profiles(k,2)
1011	w(k,j,nxlg:-1) = 0.0
1012	pt(k,j,nxlg:-1) = mean_inflow_profiles(k,4)
1013	e(k,j,nxlg:-1) = mean_inflow_profiles(k,5)
1014	ENDDO
1015	ENDDO
1016	ENDIF
1017
1018	!
1019	!-- Calculate the damping factors to be used at the inflow. For a
1020	!-- turbulent inflow the turbulent fluctuations have to be limited
1021	!-- vertically because otherwise the turbulent inflow layer will grow
1022	!-- in time.
1023	IF ( inflow_damping_height == 9999999.9 ) THEN
1024	!
1025	!-- Default: use the inversion height calculated by the prerun; if
1026	!-- this is zero, inflow_damping_height must be explicitly
1027	!-- specified.
1028	IF ( hom_sum(nzb+6,pr_palm,0) /= 0.0 ) THEN
1029	inflow_damping_height = hom_sum(nzb+6,pr_palm,0)
1030	ELSE
1031	WRITE( message_string, * ) 'inflow_damping_height must be ',&
1032	'explicitly specified because&the inversion height ', &
1033	'calculated by the prerun is zero.'
1034	CALL message( 'init_3d_model', 'PA0318', 1, 2, 0, 6, 0 )
1035	ENDIF
1036
1037	ENDIF
1038
1039	IF ( inflow_damping_width == 9999999.9 ) THEN
1040	!
1041	!-- Default for the transition range: one tenth of the undamped
1042	!-- layer
1043	inflow_damping_width = 0.1 * inflow_damping_height
1044
1045	ENDIF
1046
1047	ALLOCATE( inflow_damping_factor(nzb:nzt+1) )
1048
1049	DO k = nzb, nzt+1
1050
1051	IF ( zu(k) <= inflow_damping_height ) THEN
1052	inflow_damping_factor(k) = 1.0
1053	ELSEIF ( zu(k) <= inflow_damping_height + &
1054	inflow_damping_width ) THEN
1055	inflow_damping_factor(k) = 1.0 - &
1056	( zu(k) - inflow_damping_height ) / &
1057	inflow_damping_width
1058	ELSE
1059	inflow_damping_factor(k) = 0.0
1060	ENDIF
1061
1062	ENDDO
1063
1064	ENDIF
1065
1066	!
1067	!-- Inside buildings set velocities and TKE back to zero
1068	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. &
1069	topography /= 'flat' ) THEN
1070	!
1071	!-- Inside buildings set velocities and TKE back to zero.
1072	!-- Other scalars (pt, q, s, km, kh, p, sa, ...) are ignored at present,
1073	!-- maybe revise later.
1074	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1075	DO i = nxlg, nxrg
1076	DO j = nysg, nyng
1077	u (nzb:nzb_u_inner(j,i),j,i) = 0.0
1078	v (nzb:nzb_v_inner(j,i),j,i) = 0.0
1079	w (nzb:nzb_w_inner(j,i),j,i) = 0.0
1080	e (nzb:nzb_w_inner(j,i),j,i) = 0.0
1081	u_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1082	v_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1083	w_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1084	e_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1085	tu_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1086	tv_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1087	tw_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1088	te_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1089	tpt_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1090	ENDDO
1091	ENDDO
1092	ELSE
1093	DO i = nxlg, nxrg
1094	DO j = nysg, nyng
1095	u (nzb:nzb_u_inner(j,i),j,i) = 0.0
1096	v (nzb:nzb_v_inner(j,i),j,i) = 0.0
1097	w (nzb:nzb_w_inner(j,i),j,i) = 0.0
1098	e (nzb:nzb_w_inner(j,i),j,i) = 0.0
1099	u_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1100	v_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1101	w_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1102	e_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1103	u_p(nzb:nzb_u_inner(j,i),j,i) = 0.0
1104	v_p(nzb:nzb_v_inner(j,i),j,i) = 0.0
1105	w_p(nzb:nzb_w_inner(j,i),j,i) = 0.0
1106	e_p(nzb:nzb_w_inner(j,i),j,i) = 0.0
1107	ENDDO
1108	ENDDO
1109	ENDIF
1110
1111	ENDIF
1112
1113	!
1114	!-- Calculate initial temperature field and other constants used in case
1115	!-- of a sloping surface
1116	IF ( sloping_surface ) CALL init_slope
1117
1118	!
1119	!-- Initialize new time levels (only done in order to set boundary values
1120	!-- including ghost points)
1121	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
1122	IF ( humidity .OR. passive_scalar ) q_p = q
1123	IF ( ocean ) sa_p = sa
1124
1125	!
1126	!-- Allthough tendency arrays are set in prognostic_equations, they have
1127	!-- have to be predefined here because they are used (but multiplied with 0)
1128	!-- there before they are set.
1129	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1130	te_m = 0.0; tpt_m = 0.0; tu_m = 0.0; tv_m = 0.0; tw_m = 0.0
1131	IF ( humidity .OR. passive_scalar ) tq_m = 0.0
1132	IF ( ocean ) tsa_m = 0.0
1133	ENDIF
1134
1135	ELSE
1136	!
1137	!-- Actually this part of the programm should not be reached
1138	message_string = 'unknown initializing problem'
1139	CALL message( 'init_3d_model', 'PA0193', 1, 2, 0, 6, 0 )
1140	ENDIF
1141
1142
1143	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1144	!
1145	!-- Initialize old timelevels needed for radiation boundary conditions
1146	IF ( outflow_l ) THEN
1147	u_m_l(:,:,:) = u(:,:,1:2)
1148	v_m_l(:,:,:) = v(:,:,0:1)
1149	w_m_l(:,:,:) = w(:,:,0:1)
1150	ENDIF
1151	IF ( outflow_r ) THEN
1152	u_m_r(:,:,:) = u(:,:,nx-1:nx)
1153	v_m_r(:,:,:) = v(:,:,nx-1:nx)
1154	w_m_r(:,:,:) = w(:,:,nx-1:nx)
1155	ENDIF
1156	IF ( outflow_s ) THEN
1157	u_m_s(:,:,:) = u(:,0:1,:)
1158	v_m_s(:,:,:) = v(:,1:2,:)
1159	w_m_s(:,:,:) = w(:,0:1,:)
1160	ENDIF
1161	IF ( outflow_n ) THEN
1162	u_m_n(:,:,:) = u(:,ny-1:ny,:)
1163	v_m_n(:,:,:) = v(:,ny-1:ny,:)
1164	w_m_n(:,:,:) = w(:,ny-1:ny,:)
1165	ENDIF
1166
1167	ENDIF
1168
1169	!
1170	!-- Calculate the initial volume flow at the right and north boundary
1171	IF ( conserve_volume_flow ) THEN
1172
1173	IF ( use_prescribed_profile_data ) THEN
1174
1175	volume_flow_initial_l = 0.0
1176	volume_flow_area_l = 0.0
1177
1178	IF ( nxr == nx ) THEN
1179	DO j = nys, nyn
1180	DO k = nzb_2d(j,nx)+1, nzt
1181	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1182	u_init(k) * dzw(k)
1183	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1184	ENDDO
1185	ENDDO
1186	ENDIF
1187
1188	IF ( nyn == ny ) THEN
1189	DO i = nxl, nxr
1190	DO k = nzb_2d(ny,i)+1, nzt
1191	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1192	v_init(k) * dzw(k)
1193	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1194	ENDDO
1195	ENDDO
1196	ENDIF
1197
1198	#if defined( __parallel )
1199	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1200	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1201	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1202	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1203
1204	#else
1205	volume_flow_initial = volume_flow_initial_l
1206	volume_flow_area = volume_flow_area_l
1207	#endif
1208
1209	ELSEIF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
1210
1211	volume_flow_initial_l = 0.0
1212	volume_flow_area_l = 0.0
1213
1214	IF ( nxr == nx ) THEN
1215	DO j = nys, nyn
1216	DO k = nzb_2d(j,nx)+1, nzt
1217	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1218	hom_sum(k,1,0) * dzw(k)
1219	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1220	ENDDO
1221	ENDDO
1222	ENDIF
1223
1224	IF ( nyn == ny ) THEN
1225	DO i = nxl, nxr
1226	DO k = nzb_2d(ny,i)+1, nzt
1227	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1228	hom_sum(k,2,0) * dzw(k)
1229	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1230	ENDDO
1231	ENDDO
1232	ENDIF
1233
1234	#if defined( __parallel )
1235	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1236	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1237	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1238	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1239
1240	#else
1241	volume_flow_initial = volume_flow_initial_l
1242	volume_flow_area = volume_flow_area_l
1243	#endif
1244
1245	ELSEIF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1246
1247	volume_flow_initial_l = 0.0
1248	volume_flow_area_l = 0.0
1249
1250	IF ( nxr == nx ) THEN
1251	DO j = nys, nyn
1252	DO k = nzb_2d(j,nx)+1, nzt
1253	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1254	u(k,j,nx) * dzw(k)
1255	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1256	ENDDO
1257	ENDDO
1258	ENDIF
1259
1260	IF ( nyn == ny ) THEN
1261	DO i = nxl, nxr
1262	DO k = nzb_2d(ny,i)+1, nzt
1263	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1264	v(k,ny,i) * dzw(k)
1265	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1266	ENDDO
1267	ENDDO
1268	ENDIF
1269
1270	#if defined( __parallel )
1271	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1272	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1273	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1274	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1275
1276	#else
1277	volume_flow_initial = volume_flow_initial_l
1278	volume_flow_area = volume_flow_area_l
1279	#endif
1280
1281	ENDIF
1282
1283	!
1284	!-- In case of 'bulk_velocity' mode, volume_flow_initial is calculated
1285	!-- from u\|v_bulk instead
1286	IF ( TRIM( conserve_volume_flow_mode ) == 'bulk_velocity' ) THEN
1287	volume_flow_initial(1) = u_bulk * volume_flow_area(1)
1288	volume_flow_initial(2) = v_bulk * volume_flow_area(2)
1289	ENDIF
1290
1291	ENDIF
1292
1293	!
1294	!-- Initialize quantities for special advections schemes
1295	CALL init_advec
1296
1297	!
1298	!-- Impose random perturbation on the horizontal velocity field and then
1299	!-- remove the divergences from the velocity field at the initial stage
1300	IF ( create_disturbances .AND. &
1301	TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
1302	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
1303
1304	CALL disturb_field( nzb_u_inner, tend, u )
1305	CALL disturb_field( nzb_v_inner, tend, v )
1306	n_sor = nsor_ini
1307	CALL pres
1308	n_sor = nsor
1309	ENDIF
1310
1311	!
1312	!-- Initialization of the leaf area density
1313	IF ( plant_canopy ) THEN
1314
1315	SELECT CASE ( TRIM( canopy_mode ) )
1316
1317	CASE( 'block' )
1318
1319	DO i = nxlg, nxrg
1320	DO j = nysg, nyng
1321	lad_s(:,j,i) = lad(:)
1322	cdc(:,j,i) = drag_coefficient
1323	IF ( passive_scalar ) THEN
1324	sls(:,j,i) = leaf_surface_concentration
1325	sec(:,j,i) = scalar_exchange_coefficient
1326	ENDIF
1327	ENDDO
1328	ENDDO
1329
1330	CASE DEFAULT
1331
1332	!
1333	!-- The DEFAULT case is reached either if the parameter
1334	!-- canopy mode contains a wrong character string or if the
1335	!-- user has coded a special case in the user interface.
1336	!-- There, the subroutine user_init_plant_canopy checks
1337	!-- which of these two conditions applies.
1338	CALL user_init_plant_canopy
1339
1340	END SELECT
1341
1342	CALL exchange_horiz( lad_s, nbgp )
1343	CALL exchange_horiz( cdc, nbgp )
1344
1345	IF ( passive_scalar ) THEN
1346	CALL exchange_horiz( sls, nbgp )
1347	CALL exchange_horiz( sec, nbgp )
1348	ENDIF
1349
1350	!
1351	!-- Sharp boundaries of the plant canopy in horizontal directions
1352	!-- In vertical direction the interpolation is retained, as the leaf
1353	!-- area density is initialised by prescribing a vertical profile
1354	!-- consisting of piecewise linear segments. The upper boundary
1355	!-- of the plant canopy is now defined by lad_w(pch_index,:,:) = 0.0.
1356
1357	DO i = nxl, nxr
1358	DO j = nys, nyn
1359	DO k = nzb, nzt+1
1360	IF ( lad_s(k,j,i) > 0.0 ) THEN
1361	lad_u(k,j,i) = lad_s(k,j,i)
1362	lad_u(k,j,i+1) = lad_s(k,j,i)
1363	lad_v(k,j,i) = lad_s(k,j,i)
1364	lad_v(k,j+1,i) = lad_s(k,j,i)
1365	ENDIF
1366	ENDDO
1367	DO k = nzb, nzt
1368	lad_w(k,j,i) = 0.5 * ( lad_s(k+1,j,i) + lad_s(k,j,i) )
1369	ENDDO
1370	ENDDO
1371	ENDDO
1372
1373	lad_w(pch_index,:,:) = 0.0
1374	lad_w(nzt+1,:,:) = lad_w(nzt,:,:)
1375
1376	CALL exchange_horiz( lad_u, nbgp )
1377	CALL exchange_horiz( lad_v, nbgp )
1378	CALL exchange_horiz( lad_w, nbgp )
1379
1380	!
1381	!-- Initialisation of the canopy heat source distribution
1382	IF ( cthf /= 0.0 ) THEN
1383	!
1384	!-- Piecewise evaluation of the leaf area index by
1385	!-- integration of the leaf area density
1386	lai(:,:,:) = 0.0
1387	DO i = nxlg, nxrg
1388	DO j = nysg, nyng
1389	DO k = pch_index-1, 0, -1
1390	lai(k,j,i) = lai(k+1,j,i) + &
1391	( 0.5 * ( lad_w(k+1,j,i) + &
1392	lad_s(k+1,j,i) ) * &
1393	( zw(k+1) - zu(k+1) ) ) + &
1394	( 0.5 * ( lad_w(k,j,i) + &
1395	lad_s(k+1,j,i) ) * &
1396	( zu(k+1) - zw(k) ) )
1397	ENDDO
1398	ENDDO
1399	ENDDO
1400
1401	!
1402	!-- Evaluation of the upward kinematic vertical heat flux within the
1403	!-- canopy
1404	DO i = nxlg, nxrg
1405	DO j = nysg, nyng
1406	DO k = 0, pch_index
1407	canopy_heat_flux(k,j,i) = cthf * &
1408	exp( -0.6 * lai(k,j,i) )
1409	ENDDO
1410	ENDDO
1411	ENDDO
1412
1413	!
1414	!-- The near surface heat flux is derived from the heat flux
1415	!-- distribution within the canopy
1416	shf(:,:) = canopy_heat_flux(0,:,:)
1417
1418	IF ( ASSOCIATED( shf_m ) ) shf_m = shf
1419
1420	ENDIF
1421
1422	ENDIF
1423
1424	!
1425	!-- If required, initialize dvrp-software
1426	IF ( dt_dvrp /= 9999999.9 ) CALL init_dvrp
1427
1428	IF ( ocean ) THEN
1429	!
1430	!-- Initialize quantities needed for the ocean model
1431	CALL init_ocean
1432
1433	ELSE
1434	!
1435	!-- Initialize quantities for handling cloud physics
1436	!-- This routine must be called before init_particles, because
1437	!-- otherwise, array pt_d_t, needed in data_output_dvrp (called by
1438	!-- init_particles) is not defined.
1439	CALL init_cloud_physics
1440	ENDIF
1441
1442	!
1443	!-- If required, initialize particles
1444	IF ( particle_advection ) CALL init_particles
1445
1446	!
1447	!-- Initialize the ws-scheme.
1448	IF ( ws_scheme_sca .OR. ws_scheme_mom ) CALL ws_init
1449
1450	!
1451	!-- Setting weighting factors for calculation of perturbation pressure
1452	!-- and turbulent quantities from the RK substeps
1453	IF ( TRIM(timestep_scheme) == 'runge-kutta-3' ) THEN ! for RK3-method
1454
1455	weight_substep(1) = 1./6.
1456	weight_substep(2) = 3./10.
1457	weight_substep(3) = 8./15.
1458
1459	weight_pres(1) = 1./3.
1460	weight_pres(2) = 5./12.
1461	weight_pres(3) = 1./4.
1462
1463	ELSEIF ( TRIM(timestep_scheme) == 'runge-kutta-2' ) THEN ! for RK2-method
1464
1465	weight_substep(1) = 1./2.
1466	weight_substep(2) = 1./2.
1467
1468	weight_pres(1) = 1./2.
1469	weight_pres(2) = 1./2.
1470
1471	ELSE ! for Euler- and leapfrog-method
1472
1473	weight_substep(1) = 1.0
1474	weight_pres(1) = 1.0
1475
1476	ENDIF
1477
1478	!
1479	!-- Initialize Rayleigh damping factors
1480	rdf = 0.0
1481	rdf_sc = 0.0
1482	IF ( rayleigh_damping_factor /= 0.0 ) THEN
1483	IF ( .NOT. ocean ) THEN
1484	DO k = nzb+1, nzt
1485	IF ( zu(k) >= rayleigh_damping_height ) THEN
1486	rdf(k) = rayleigh_damping_factor * &
1487	( SIN( pi * 0.5 * ( zu(k) - rayleigh_damping_height ) &
1488	/ ( zu(nzt) - rayleigh_damping_height ) )&
1489	)**2
1490	ENDIF
1491	ENDDO
1492	ELSE
1493	DO k = nzt, nzb+1, -1
1494	IF ( zu(k) <= rayleigh_damping_height ) THEN
1495	rdf(k) = rayleigh_damping_factor * &
1496	( SIN( pi * 0.5 * ( rayleigh_damping_height - zu(k) ) &
1497	/ ( rayleigh_damping_height - zu(nzb+1)))&
1498	)**2
1499	ENDIF
1500	ENDDO
1501	ENDIF
1502	ENDIF
1503	IF ( scalar_rayleigh_damping ) rdf_sc = rdf
1504
1505	!
1506	!-- Initialize the starting level and the vertical smoothing factor used for
1507	!-- the external pressure gradient
1508	dp_smooth_factor = 1.0
1509	IF ( dp_external ) THEN
1510	!
1511	!-- Set the starting level dp_level_ind_b only if it has not been set before
1512	!-- (e.g. in init_grid).
1513	IF ( dp_level_ind_b == 0 ) THEN
1514	ind_array = MINLOC( ABS( dp_level_b - zu ) )
1515	dp_level_ind_b = ind_array(1) - 1 + nzb
1516	! MINLOC uses lower array bound 1
1517	ENDIF
1518	IF ( dp_smooth ) THEN
1519	dp_smooth_factor(:dp_level_ind_b) = 0.0
1520	DO k = dp_level_ind_b+1, nzt
1521	dp_smooth_factor(k) = 0.5 * ( 1.0 + SIN( pi * &
1522	( REAL( k - dp_level_ind_b ) / &
1523	REAL( nzt - dp_level_ind_b ) - 0.5 ) ) )
1524	ENDDO
1525	ENDIF
1526	ENDIF
1527
1528	!
1529	!-- Initialize diffusivities used within the outflow damping layer in case of
1530	!-- non-cyclic lateral boundaries. A linear increase is assumed over the first
1531	!-- half of the width of the damping layer
1532	IF ( bc_lr_dirrad ) THEN
1533
1534	DO i = nxlg, nxrg
1535	IF ( i >= nx - outflow_damping_width ) THEN
1536	km_damp_x(i) = km_damp_max * MIN( 1.0, &
1537	( i - ( nx - outflow_damping_width ) ) / &
1538	REAL( outflow_damping_width/2 ) &
1539	)
1540	ELSE
1541	km_damp_x(i) = 0.0
1542	ENDIF
1543	ENDDO
1544
1545	ELSEIF ( bc_lr_raddir ) THEN
1546
1547	DO i = nxlg, nxrg
1548	IF ( i <= outflow_damping_width ) THEN
1549	km_damp_x(i) = km_damp_max * MIN( 1.0, &
1550	( outflow_damping_width - i ) / &
1551	REAL( outflow_damping_width/2 ) &
1552	)
1553	ELSE
1554	km_damp_x(i) = 0.0
1555	ENDIF
1556	ENDDO
1557
1558	ENDIF
1559
1560	IF ( bc_ns_dirrad ) THEN
1561
1562	DO j = nysg, nyng
1563	IF ( j >= ny - outflow_damping_width ) THEN
1564	km_damp_y(j) = km_damp_max * MIN( 1.0, &
1565	( j - ( ny - outflow_damping_width ) ) / &
1566	REAL( outflow_damping_width/2 ) &
1567	)
1568	ELSE
1569	km_damp_y(j) = 0.0
1570	ENDIF
1571	ENDDO
1572
1573	ELSEIF ( bc_ns_raddir ) THEN
1574
1575	DO j = nysg, nyng
1576	IF ( j <= outflow_damping_width ) THEN
1577	km_damp_y(j) = km_damp_max * MIN( 1.0, &
1578	( outflow_damping_width - j ) / &
1579	REAL( outflow_damping_width/2 ) &
1580	)
1581	ELSE
1582	km_damp_y(j) = 0.0
1583	ENDIF
1584	ENDDO
1585
1586	ENDIF
1587
1588	!
1589	!-- Initialize local summation arrays for routine flow_statistics.
1590	!-- This is necessary because they may not yet have been initialized when they
1591	!-- are called from flow_statistics (or - depending on the chosen model run -
1592	!-- are never initialized)
1593	sums_divnew_l = 0.0
1594	sums_divold_l = 0.0
1595	sums_l_l = 0.0
1596	sums_up_fraction_l = 0.0
1597	sums_wsts_bc_l = 0.0
1598
1599	!
1600	!-- Pre-set masks for regional statistics. Default is the total model domain.
1601	rmask = 1.0
1602
1603	!
1604	!-- User-defined initializing actions. Check afterwards, if maximum number
1605	!-- of allowed timeseries is exceeded
1606	CALL user_init
1607
1608	IF ( dots_num > dots_max ) THEN
1609	WRITE( message_string, * ) 'number of time series quantities exceeds', &
1610	' its maximum of dots_max = ', dots_max, &
1611	' &Please increase dots_max in modules.f90.'
1612	CALL message( 'init_3d_model', 'PA0194', 1, 2, 0, 6, 0 )
1613	ENDIF
1614
1615	!
1616	!-- Input binary data file is not needed anymore. This line must be placed
1617	!-- after call of user_init!
1618	CALL close_file( 13 )
1619
1620	!
1621	!-- Compute total sum of active mask grid points
1622	!-- ngp_2dh: number of grid points of a horizontal cross section through the
1623	!-- total domain
1624	!-- ngp_3d: number of grid points of the total domain
1625	ngp_2dh_outer_l = 0
1626	ngp_2dh_outer = 0
1627	ngp_2dh_s_inner_l = 0
1628	ngp_2dh_s_inner = 0
1629	ngp_2dh_l = 0
1630	ngp_2dh = 0
1631	ngp_3d_inner_l = 0.0
1632	ngp_3d_inner = 0
1633	ngp_3d = 0
1634	ngp_sums = ( nz + 2 ) * ( pr_palm + max_pr_user )
1635
1636	DO sr = 0, statistic_regions
1637	DO i = nxl, nxr
1638	DO j = nys, nyn
1639	IF ( rmask(j,i,sr) == 1.0 ) THEN
1640	!
1641	!-- All xy-grid points
1642	ngp_2dh_l(sr) = ngp_2dh_l(sr) + 1
1643	!
1644	!-- xy-grid points above topography
1645	DO k = nzb_s_outer(j,i), nz + 1
1646	ngp_2dh_outer_l(k,sr) = ngp_2dh_outer_l(k,sr) + 1
1647	ENDDO
1648	DO k = nzb_s_inner(j,i), nz + 1
1649	ngp_2dh_s_inner_l(k,sr) = ngp_2dh_s_inner_l(k,sr) + 1
1650	ENDDO
1651	!
1652	!-- All grid points of the total domain above topography
1653	ngp_3d_inner_l(sr) = ngp_3d_inner_l(sr) + &
1654	( nz - nzb_s_inner(j,i) + 2 )
1655	ENDIF
1656	ENDDO
1657	ENDDO
1658	ENDDO
1659
1660	sr = statistic_regions + 1
1661	#if defined( __parallel )
1662	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1663	CALL MPI_ALLREDUCE( ngp_2dh_l(0), ngp_2dh(0), sr, MPI_INTEGER, MPI_SUM, &
1664	comm2d, ierr )
1665	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1666	CALL MPI_ALLREDUCE( ngp_2dh_outer_l(0,0), ngp_2dh_outer(0,0), (nz+2)*sr, &
1667	MPI_INTEGER, MPI_SUM, comm2d, ierr )
1668	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1669	CALL MPI_ALLREDUCE( ngp_2dh_s_inner_l(0,0), ngp_2dh_s_inner(0,0), &
1670	(nz+2)*sr, MPI_INTEGER, MPI_SUM, comm2d, ierr )
1671	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1672	CALL MPI_ALLREDUCE( ngp_3d_inner_l(0), ngp_3d_inner_tmp(0), sr, MPI_REAL, &
1673	MPI_SUM, comm2d, ierr )
1674	ngp_3d_inner = INT( ngp_3d_inner_tmp, KIND = SELECTED_INT_KIND( 18 ) )
1675	#else
1676	ngp_2dh = ngp_2dh_l
1677	ngp_2dh_outer = ngp_2dh_outer_l
1678	ngp_2dh_s_inner = ngp_2dh_s_inner_l
1679	ngp_3d_inner = INT( ngp_3d_inner_l, KIND = SELECTED_INT_KIND( 18 ) )
1680	#endif
1681
1682	ngp_3d = INT ( ngp_2dh, KIND = SELECTED_INT_KIND( 18 ) ) * &
1683	INT ( (nz + 2 ), KIND = SELECTED_INT_KIND( 18 ) )
1684
1685	!
1686	!-- Set a lower limit of 1 in order to avoid zero divisions in flow_statistics,
1687	!-- buoyancy, etc. A zero value will occur for cases where all grid points of
1688	!-- the respective subdomain lie below the surface topography
1689	ngp_2dh_outer = MAX( 1, ngp_2dh_outer(:,:) )
1690	ngp_3d_inner = MAX( INT(1, KIND = SELECTED_INT_KIND( 18 )), &
1691	ngp_3d_inner(:) )
1692	ngp_2dh_s_inner = MAX( 1, ngp_2dh_s_inner(:,:) )
1693
1694	DEALLOCATE( ngp_2dh_l, ngp_2dh_outer_l, ngp_3d_inner_l, ngp_3d_inner_tmp )
1695
1696
1697	END SUBROUTINE init_3d_model

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