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source: palm/trunk/SOURCE/init_3d_model.f90 @ 835

Last change on this file since 835 was 826, 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 826 2012-02-19 03:41:34Z raasch $
14	!
15	! 825 2012-02-19 03:03:44Z raasch
16	! wang_collision_kernel renamed wang_kernel
17	!
18	! 790 2011-11-29 03:11:20Z raasch
19	! diss is also allocated in case that the Wang kernel is used
20	!
21	! 787 2011-11-28 12:49:05Z heinze $
22	! bugfix: call init_advec in every case - not only for inital runs
23	!
24	! 785 2011-11-28 09:47:19Z raasch
25	! initialization of rdf_sc
26	!
27	! 767 2011-10-14 06:39:12Z raasch
28	! adjustments concerning implementation of prescribed u,v-profiles
29	! bugfix: dirichlet_0 conditions for ug/vg moved to check_parameters
30	!
31	! 759 2011-09-15 13:58:31Z raasch
32	! Splitting of parallel I/O in blocks of PEs
33	! Bugfix: No zero assignments to volume_flow_initial and volume_flow_area in
34	! case of normal restart runs.
35	!
36	! 713 2011-03-30 14:21:21Z suehring
37	! weight_substep and weight_pres are given as fractions.
38	!
39	! 709 2011-03-30 09:31:40Z raasch
40	! formatting adjustments
41	!
42	! 707 2011-03-29 11:39:40Z raasch
43	! p_sub renamed p_loc and allocated depending on the chosen pressure solver,
44	! initial assignments of zero to array p for iterative solvers only,
45	! bc_lr/ns replaced by bc_lr/ns_dirrad/raddir
46	!
47	! 680 2011-02-04 23:16:06Z gryschka
48	! bugfix: volume_flow_control
49	!
50	! 673 2011-01-18 16:19:48Z suehring
51	! weight_substep (moved from advec_ws) and weight_pres added.
52	! Allocate p_sub when using Multigrid or SOR solver.
53	! Call of ws_init moved behind the if requests.
54	!
55	! 667 2010-12-23 12:06:00Z suehring/gryschka
56	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng in loops and
57	! allocation of arrays. Calls of exchange_horiz are modified.
58	! Call ws_init to initialize arrays needed for calculating statisticas and for
59	! optimization when ws-scheme is used.
60	! Initial volume flow is now calculated by using the variable hom_sum.
61	! Therefore the correction of initial volume flow for non-flat topography
62	! removed (removed u_nzb_p1_for_vfc and v_nzb_p1_for_vfc)
63	! Changed surface boundary conditions for u and v in case of ibc_uv_b == 0 from
64	! mirror to Dirichlet boundary conditions (u=v=0), so that k=nzb is
65	! representative for the height z0.
66	! Bugfix: type conversion of '1' to 64bit for the MAX function (ngp_3d_inner)
67	!
68	! 622 2010-12-10 08:08:13Z raasch
69	! optional barriers included in order to speed up collective operations
70	!
71	! 560 2010-09-09 10:06:09Z weinreis
72	! bugfix: correction of calculating ngp_3d for 64 bit
73	!
74	! 485 2010-02-05 10:57:51Z raasch
75	! calculation of ngp_3d + ngp_3d_inner changed because they have now 64 bit
76	!
77	! 407 2009-12-01 15:01:15Z maronga
78	! var_ts is replaced by dots_max
79	! Enabled passive scalar/humidity wall fluxes for non-flat topography
80	!
81	! 388 2009-09-23 09:40:33Z raasch
82	! Initialization of prho added.
83	! bugfix: correction of initial volume flow for non-flat topography
84	! bugfix: zero initialization of arrays within buildings for 'cyclic_fill'
85	! bugfix: avoid that ngp_2dh_s_inner becomes zero
86	! initializing_actions='read_data_for_recycling' renamed to 'cyclic_fill', now
87	! independent of turbulent_inflow
88	! Output of messages replaced by message handling routine.
89	! Set the starting level and the vertical smoothing factor used for
90	! the external pressure gradient
91	! +conserve_volume_flow_mode: 'default', 'initial_profiles', 'inflow_profile'
92	! and 'bulk_velocity'
93	! If the inversion height calculated by the prerun is zero,
94	! inflow_damping_height must be explicitly specified.
95	!
96	! 181 2008-07-30 07:07:47Z raasch
97	! bugfix: zero assignments to tendency arrays in case of restarts,
98	! further extensions and modifications in the initialisation of the plant
99	! canopy model,
100	! allocation of hom_sum moved to parin, initialization of spectrum_x\|y directly
101	! after allocating theses arrays,
102	! read data for recycling added as new initialization option,
103	! dummy allocation for diss
104	!
105	! 138 2007-11-28 10:03:58Z letzel
106	! New counter ngp_2dh_s_inner.
107	! Allow new case bc_uv_t = 'dirichlet_0' for channel flow.
108	! Corrected calculation of initial volume flow for 'set_1d-model_profiles' and
109	! 'set_constant_profiles' in case of buildings in the reference cross-sections.
110	!
111	! 108 2007-08-24 15:10:38Z letzel
112	! Flux initialization in case of coupled runs, +momentum fluxes at top boundary,
113	! +arrays for phase speed c_u, c_v, c_w, indices for u\|v\|w_m_l\|r changed
114	! +qswst_remote in case of atmosphere model with humidity coupled to ocean
115	! Rayleigh damping for ocean, optionally calculate km and kh from initial
116	! TKE e_init
117	!
118	! 97 2007-06-21 08:23:15Z raasch
119	! Initialization of salinity, call of init_ocean
120	!
121	! 87 2007-05-22 15:46:47Z raasch
122	! var_hom and var_sum renamed pr_palm
123	!
124	! 75 2007-03-22 09:54:05Z raasch
125	! Arrays for radiation boundary conditions are allocated (u_m_l, u_m_r, etc.),
126	! bugfix for cases with the outflow damping layer extending over more than one
127	! subdomain, moisture renamed humidity,
128	! new initializing action "by_user" calls user_init_3d_model,
129	! precipitation_amount/rate, ts_value are allocated, +module netcdf_control,
130	! initial velocities at nzb+1 are regarded for volume
131	! flow control in case they have been set zero before (to avoid small timesteps)
132	! -uvmean_outflow, uxrp, vynp eliminated
133	!
134	! 19 2007-02-23 04:53:48Z raasch
135	! +handling of top fluxes
136	!
137	! RCS Log replace by Id keyword, revision history cleaned up
138	!
139	! Revision 1.49 2006/08/22 15:59:07 raasch
140	! No optimization of this file on the ibmy (Yonsei Univ.)
141	!
142	! Revision 1.1 1998/03/09 16:22:22 raasch
143	! Initial revision
144	!
145	!
146	! Description:
147	! ------------
148	! Allocation of arrays and initialization of the 3D model via
149	! a) pre-run the 1D model
150	! or
151	! b) pre-set constant linear profiles
152	! or
153	! c) read values of a previous run
154	!------------------------------------------------------------------------------!
155
156	USE advec_ws
157	USE arrays_3d
158	USE averaging
159	USE cloud_parameters
160	USE constants
161	USE control_parameters
162	USE cpulog
163	USE indices
164	USE interfaces
165	USE model_1d
166	USE netcdf_control
167	USE particle_attributes
168	USE pegrid
169	USE profil_parameter
170	USE random_function_mod
171	USE statistics
172
173	IMPLICIT NONE
174
175	INTEGER :: i, ind_array(1), j, k, sr
176
177	INTEGER, DIMENSION(:), ALLOCATABLE :: ngp_2dh_l
178
179	INTEGER, DIMENSION(:,:), ALLOCATABLE :: ngp_2dh_outer_l, &
180	ngp_2dh_s_inner_l
181
182	REAL :: a, b
183
184	REAL, DIMENSION(1:2) :: volume_flow_area_l, volume_flow_initial_l
185
186	REAL, DIMENSION(:), ALLOCATABLE :: ngp_3d_inner_l, ngp_3d_inner_tmp
187
188
189	!
190	!-- Allocate arrays
191	ALLOCATE( ngp_2dh(0:statistic_regions), ngp_2dh_l(0:statistic_regions), &
192	ngp_3d(0:statistic_regions), &
193	ngp_3d_inner(0:statistic_regions), &
194	ngp_3d_inner_l(0:statistic_regions), &
195	ngp_3d_inner_tmp(0:statistic_regions), &
196	sums_divnew_l(0:statistic_regions), &
197	sums_divold_l(0:statistic_regions) )
198	ALLOCATE( dp_smooth_factor(nzb:nzt), rdf(nzb+1:nzt), rdf_sc(nzb+1:nzt) )
199	ALLOCATE( ngp_2dh_outer(nzb:nzt+1,0:statistic_regions), &
200	ngp_2dh_outer_l(nzb:nzt+1,0:statistic_regions), &
201	ngp_2dh_s_inner(nzb:nzt+1,0:statistic_regions), &
202	ngp_2dh_s_inner_l(nzb:nzt+1,0:statistic_regions), &
203	rmask(nysg:nyng,nxlg:nxrg,0:statistic_regions), &
204	sums(nzb:nzt+1,pr_palm+max_pr_user), &
205	sums_l(nzb:nzt+1,pr_palm+max_pr_user,0:threads_per_task-1), &
206	sums_l_l(nzb:nzt+1,0:statistic_regions,0:threads_per_task-1), &
207	sums_up_fraction_l(10,3,0:statistic_regions), &
208	sums_wsts_bc_l(nzb:nzt+1,0:statistic_regions), &
209	ts_value(dots_max,0:statistic_regions) )
210	ALLOCATE( km_damp_x(nxlg:nxrg), km_damp_y(nysg:nyng) )
211
212	ALLOCATE( rif_1(nysg:nyng,nxlg:nxrg), shf_1(nysg:nyng,nxlg:nxrg), &
213	ts(nysg:nyng,nxlg:nxrg), tswst_1(nysg:nyng,nxlg:nxrg), &
214	us(nysg:nyng,nxlg:nxrg), usws_1(nysg:nyng,nxlg:nxrg), &
215	uswst_1(nysg:nyng,nxlg:nxrg), &
216	vsws_1(nysg:nyng,nxlg:nxrg), &
217	vswst_1(nysg:nyng,nxlg:nxrg), z0(nysg:nyng,nxlg:nxrg) )
218
219	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
220	!
221	!-- Leapfrog scheme needs two timelevels of diffusion quantities
222	ALLOCATE( rif_2(nysg:nyng,nxlg:nxrg), &
223	shf_2(nysg:nyng,nxlg:nxrg), &
224	tswst_2(nysg:nyng,nxlg:nxrg), &
225	usws_2(nysg:nyng,nxlg:nxrg), &
226	uswst_2(nysg:nyng,nxlg:nxrg), &
227	vswst_2(nysg:nyng,nxlg:nxrg), &
228	vsws_2(nysg:nyng,nxlg:nxrg) )
229	ENDIF
230
231	ALLOCATE( d(nzb+1:nzta,nys:nyna,nxl:nxra), &
232	e_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
233	e_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
234	e_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
235	kh_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
236	km_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
237	p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
238	pt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
239	pt_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
240	pt_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
241	tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
242	u_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
243	u_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
244	u_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
245	v_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
246	v_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
247	v_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
248	w_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
249	w_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
250	w_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
251	!
252	!-- Following array is required for perturbation pressure within the iterative
253	!-- pressure solvers. For the multistep schemes (Runge-Kutta), array p holds
254	!-- the weighted average of the substeps and cannot be used in the Poisson
255	!-- solver.
256	IF ( psolver == 'sor' ) THEN
257	ALLOCATE( p_loc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
258	ELSEIF ( psolver == 'multigrid' ) THEN
259	!
260	!-- For performance reasons, multigrid is using one ghost layer only
261	ALLOCATE( p_loc(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
262	ENDIF
263
264	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
265	ALLOCATE( kh_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
266	km_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
267	ENDIF
268
269	IF ( humidity .OR. passive_scalar ) THEN
270	!
271	!-- 2D-humidity/scalar arrays
272	ALLOCATE ( qs(nysg:nyng,nxlg:nxrg), &
273	qsws_1(nysg:nyng,nxlg:nxrg), &
274	qswst_1(nysg:nyng,nxlg:nxrg) )
275
276	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
277	ALLOCATE( qsws_2(nysg:nyng,nxlg:nxrg), &
278	qswst_2(nysg:nyng,nxlg:nxrg) )
279	ENDIF
280	!
281	!-- 3D-humidity/scalar arrays
282	ALLOCATE( q_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
283	q_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
284	q_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
285
286	!
287	!-- 3D-arrays needed for humidity only
288	IF ( humidity ) THEN
289	ALLOCATE( vpt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
290
291	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
292	ALLOCATE( vpt_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
293	ENDIF
294
295	IF ( cloud_physics ) THEN
296	!
297	!-- Liquid water content
298	ALLOCATE ( ql_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
299	!
300	!-- Precipitation amount and rate (only needed if output is switched)
301	ALLOCATE( precipitation_amount(nysg:nyng,nxlg:nxrg), &
302	precipitation_rate(nysg:nyng,nxlg:nxrg) )
303	ENDIF
304
305	IF ( cloud_droplets ) THEN
306	!
307	!-- Liquid water content, change in liquid water content,
308	!-- real volume of particles (with weighting), volume of particles
309	ALLOCATE ( ql_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
310	ql_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
311	ql_v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
312	ql_vp(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
313	ENDIF
314
315	ENDIF
316
317	ENDIF
318
319	IF ( ocean ) THEN
320	ALLOCATE( saswsb_1(nysg:nyng,nxlg:nxrg), &
321	saswst_1(nysg:nyng,nxlg:nxrg) )
322	ALLOCATE( prho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
323	rho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
324	sa_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
325	sa_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
326	sa_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
327	prho => prho_1
328	rho => rho_1 ! routines calc_mean_profile and diffusion_e require
329	! density to be apointer
330	IF ( humidity_remote ) THEN
331	ALLOCATE( qswst_remote(nysg:nyng,nxlg:nxrg))
332	qswst_remote = 0.0
333	ENDIF
334	ENDIF
335
336	!
337	!-- 3D-array for storing the dissipation, needed for calculating the sgs
338	!-- particle velocities
339	IF ( use_sgs_for_particles .OR. wang_kernel ) THEN
340	ALLOCATE ( diss(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
341	ELSE
342	ALLOCATE ( diss(2,2,2) ) ! required because diss is used as a
343	! formal parameter
344	ENDIF
345
346	IF ( dt_dosp /= 9999999.9 ) THEN
347	ALLOCATE( spectrum_x( 1:nx/2, 1:10, 1:10 ), &
348	spectrum_y( 1:ny/2, 1:10, 1:10 ) )
349	spectrum_x = 0.0
350	spectrum_y = 0.0
351	ENDIF
352
353	!
354	!-- 3D-arrays for the leaf area density and the canopy drag coefficient
355	IF ( plant_canopy ) THEN
356	ALLOCATE ( lad_s(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
357	lad_u(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
358	lad_v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
359	lad_w(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
360	cdc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
361
362	IF ( passive_scalar ) THEN
363	ALLOCATE ( sls(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
364	sec(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
365	ENDIF
366
367	IF ( cthf /= 0.0 ) THEN
368	ALLOCATE ( lai(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
369	canopy_heat_flux(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
370	ENDIF
371
372	ENDIF
373
374	!
375	!-- 4D-array for storing the Rif-values at vertical walls
376	IF ( topography /= 'flat' ) THEN
377	ALLOCATE( rif_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg,1:4) )
378	rif_wall = 0.0
379	ENDIF
380
381	!
382	!-- Arrays to store velocity data from t-dt and the phase speeds which
383	!-- are needed for radiation boundary conditions
384	IF ( outflow_l ) THEN
385	ALLOCATE( u_m_l(nzb:nzt+1,nysg:nyng,1:2), &
386	v_m_l(nzb:nzt+1,nysg:nyng,0:1), &
387	w_m_l(nzb:nzt+1,nysg:nyng,0:1) )
388	ENDIF
389	IF ( outflow_r ) THEN
390	ALLOCATE( u_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
391	v_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
392	w_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx) )
393	ENDIF
394	IF ( outflow_l .OR. outflow_r ) THEN
395	ALLOCATE( c_u(nzb:nzt+1,nysg:nyng), c_v(nzb:nzt+1,nysg:nyng), &
396	c_w(nzb:nzt+1,nysg:nyng) )
397	ENDIF
398	IF ( outflow_s ) THEN
399	ALLOCATE( u_m_s(nzb:nzt+1,0:1,nxlg:nxrg), &
400	v_m_s(nzb:nzt+1,1:2,nxlg:nxrg), &
401	w_m_s(nzb:nzt+1,0:1,nxlg:nxrg) )
402	ENDIF
403	IF ( outflow_n ) THEN
404	ALLOCATE( u_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
405	v_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
406	w_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg) )
407	ENDIF
408	IF ( outflow_s .OR. outflow_n ) THEN
409	ALLOCATE( c_u(nzb:nzt+1,nxlg:nxrg), c_v(nzb:nzt+1,nxlg:nxrg), &
410	c_w(nzb:nzt+1,nxlg:nxrg) )
411	ENDIF
412
413	!
414	!-- Initial assignment of the pointers
415	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
416
417	rif_m => rif_1; rif => rif_2
418	shf_m => shf_1; shf => shf_2
419	tswst_m => tswst_1; tswst => tswst_2
420	usws_m => usws_1; usws => usws_2
421	uswst_m => uswst_1; uswst => uswst_2
422	vsws_m => vsws_1; vsws => vsws_2
423	vswst_m => vswst_1; vswst => vswst_2
424	e_m => e_1; e => e_2; e_p => e_3; te_m => e_3
425	kh_m => kh_1; kh => kh_2
426	km_m => km_1; km => km_2
427	pt_m => pt_1; pt => pt_2; pt_p => pt_3; tpt_m => pt_3
428	u_m => u_1; u => u_2; u_p => u_3; tu_m => u_3
429	v_m => v_1; v => v_2; v_p => v_3; tv_m => v_3
430	w_m => w_1; w => w_2; w_p => w_3; tw_m => w_3
431
432	IF ( humidity .OR. passive_scalar ) THEN
433	qsws_m => qsws_1; qsws => qsws_2
434	qswst_m => qswst_1; qswst => qswst_2
435	q_m => q_1; q => q_2; q_p => q_3; tq_m => q_3
436	IF ( humidity ) vpt_m => vpt_1; vpt => vpt_2
437	IF ( cloud_physics ) ql => ql_1
438	IF ( cloud_droplets ) THEN
439	ql => ql_1
440	ql_c => ql_2
441	ENDIF
442	ENDIF
443
444	ELSE
445
446	rif => rif_1
447	shf => shf_1
448	tswst => tswst_1
449	usws => usws_1
450	uswst => uswst_1
451	vsws => vsws_1
452	vswst => vswst_1
453	e => e_1; e_p => e_2; te_m => e_3; e_m => e_3
454	kh => kh_1
455	km => km_1
456	pt => pt_1; pt_p => pt_2; tpt_m => pt_3; pt_m => pt_3
457	u => u_1; u_p => u_2; tu_m => u_3; u_m => u_3
458	v => v_1; v_p => v_2; tv_m => v_3; v_m => v_3
459	w => w_1; w_p => w_2; tw_m => w_3; w_m => w_3
460
461	IF ( humidity .OR. passive_scalar ) THEN
462	qsws => qsws_1
463	qswst => qswst_1
464	q => q_1; q_p => q_2; tq_m => q_3; q_m => q_3
465	IF ( humidity ) vpt => vpt_1
466	IF ( cloud_physics ) ql => ql_1
467	IF ( cloud_droplets ) THEN
468	ql => ql_1
469	ql_c => ql_2
470	ENDIF
471	ENDIF
472
473	IF ( ocean ) THEN
474	saswsb => saswsb_1
475	saswst => saswst_1
476	sa => sa_1; sa_p => sa_2; tsa_m => sa_3
477	ENDIF
478
479	ENDIF
480
481	!
482	!-- Allocate arrays containing the RK coefficient for calculation of
483	!-- perturbation pressure and turbulent fluxes. At this point values are
484	!-- set for pressure calculation during initialization (where no timestep
485	!-- is done). Further below the values needed within the timestep scheme
486	!-- will be set.
487	ALLOCATE( weight_substep(1:intermediate_timestep_count_max), &
488	weight_pres(1:intermediate_timestep_count_max) )
489	weight_substep = 1.0
490	weight_pres = 1.0
491	intermediate_timestep_count = 1 ! needed when simulated_time = 0.0
492
493	!
494	!-- Initialize model variables
495	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
496	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
497	!
498	!-- First model run of a possible job queue.
499	!-- Initial profiles of the variables must be computes.
500	IF ( INDEX( initializing_actions, 'set_1d-model_profiles' ) /= 0 ) THEN
501	!
502	!-- Use solutions of the 1D model as initial profiles,
503	!-- start 1D model
504	CALL init_1d_model
505	!
506	!-- Transfer initial profiles to the arrays of the 3D model
507	DO i = nxlg, nxrg
508	DO j = nysg, nyng
509	e(:,j,i) = e1d
510	kh(:,j,i) = kh1d
511	km(:,j,i) = km1d
512	pt(:,j,i) = pt_init
513	u(:,j,i) = u1d
514	v(:,j,i) = v1d
515	ENDDO
516	ENDDO
517
518	IF ( humidity .OR. passive_scalar ) THEN
519	DO i = nxlg, nxrg
520	DO j = nysg, nyng
521	q(:,j,i) = q_init
522	ENDDO
523	ENDDO
524	ENDIF
525
526	IF ( .NOT. constant_diffusion ) THEN
527	DO i = nxlg, nxrg
528	DO j = nysg, nyng
529	e(:,j,i) = e1d
530	ENDDO
531	ENDDO
532	!
533	!-- Store initial profiles for output purposes etc.
534	hom(:,1,25,:) = SPREAD( l1d, 2, statistic_regions+1 )
535
536	IF ( prandtl_layer ) THEN
537	rif = rif1d(nzb+1)
538	ts = 0.0 ! could actually be computed more accurately in the
539	! 1D model. Update when opportunity arises.
540	us = us1d
541	usws = usws1d
542	vsws = vsws1d
543	ELSE
544	ts = 0.0 ! must be set, because used in
545	rif = 0.0 ! flowste
546	us = 0.0
547	usws = 0.0
548	vsws = 0.0
549	ENDIF
550
551	ELSE
552	e = 0.0 ! must be set, because used in
553	rif = 0.0 ! flowste
554	ts = 0.0
555	us = 0.0
556	usws = 0.0
557	vsws = 0.0
558	ENDIF
559	uswst = top_momentumflux_u
560	vswst = top_momentumflux_v
561
562	!
563	!-- In every case qs = 0.0 (see also pt)
564	!-- This could actually be computed more accurately in the 1D model.
565	!-- Update when opportunity arises!
566	IF ( humidity .OR. passive_scalar ) qs = 0.0
567
568	!
569	!-- inside buildings set velocities back to zero
570	IF ( topography /= 'flat' ) THEN
571	DO i = nxl-1, nxr+1
572	DO j = nys-1, nyn+1
573	u(nzb:nzb_u_inner(j,i),j,i) = 0.0
574	v(nzb:nzb_v_inner(j,i),j,i) = 0.0
575	ENDDO
576	ENDDO
577
578	!
579	!-- WARNING: The extra boundary conditions set after running the
580	!-- ------- 1D model impose an error on the divergence one layer
581	!-- below the topography; need to correct later
582	!-- ATTENTION: Provisional correction for Piacsek & Williams
583	!-- --------- advection scheme: keep u and v zero one layer below
584	!-- the topography.
585	!
586	!-- Following was removed, because mirror boundary condition are
587	!-- replaced by dirichlet boundary conditions
588	!
589	! IF ( ibc_uv_b == 0 ) THEN
590	!!
591	!!-- Satisfying the Dirichlet condition with an extra layer below
592	!!-- the surface where the u and v component change their sign.
593	! DO i = nxl-1, nxr+1
594	! DO j = nys-1, nyn+1
595	! IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = -u(1,j,i)
596	! IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = -v(1,j,i)
597	! ENDDO
598	! ENDDO
599	!
600	! ELSE
601	IF ( ibc_uv_b == 1 ) THEN
602	!
603	!-- Neumann condition
604	DO i = nxl-1, nxr+1
605	DO j = nys-1, nyn+1
606	IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = u(1,j,i)
607	IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = v(1,j,i)
608	ENDDO
609	ENDDO
610
611	ENDIF
612
613	ENDIF
614
615	ELSEIF ( INDEX(initializing_actions, 'set_constant_profiles') /= 0 ) &
616	THEN
617	!
618	!-- Use constructed initial profiles (velocity constant with height,
619	!-- temperature profile with constant gradient)
620	DO i = nxlg, nxrg
621	DO j = nysg, nyng
622	pt(:,j,i) = pt_init
623	u(:,j,i) = u_init
624	v(:,j,i) = v_init
625	ENDDO
626	ENDDO
627
628	!
629	!-- Set initial horizontal velocities at the lowest computational grid
630	!-- levels to zero in order to avoid too small time steps caused by the
631	!-- diffusion limit in the initial phase of a run (at k=1, dz/2 occurs
632	!-- in the limiting formula!). The original values are stored to be later
633	!-- used for volume flow control.
634	DO i = nxlg, nxrg
635	DO j = nysg, nyng
636	u(nzb:nzb_u_inner(j,i)+1,j,i) = 0.0
637	v(nzb:nzb_v_inner(j,i)+1,j,i) = 0.0
638	ENDDO
639	ENDDO
640
641	IF ( humidity .OR. passive_scalar ) THEN
642	DO i = nxlg, nxrg
643	DO j = nysg, nyng
644	q(:,j,i) = q_init
645	ENDDO
646	ENDDO
647	ENDIF
648
649	IF ( ocean ) THEN
650	DO i = nxlg, nxrg
651	DO j = nysg, nyng
652	sa(:,j,i) = sa_init
653	ENDDO
654	ENDDO
655	ENDIF
656
657	IF ( constant_diffusion ) THEN
658	km = km_constant
659	kh = km / prandtl_number
660	e = 0.0
661	ELSEIF ( e_init > 0.0 ) THEN
662	DO k = nzb+1, nzt
663	km(k,:,:) = 0.1 * l_grid(k) * SQRT( e_init )
664	ENDDO
665	km(nzb,:,:) = km(nzb+1,:,:)
666	km(nzt+1,:,:) = km(nzt,:,:)
667	kh = km / prandtl_number
668	e = e_init
669	ELSE
670	IF ( .NOT. ocean ) THEN
671	kh = 0.01 ! there must exist an initial diffusion, because
672	km = 0.01 ! otherwise no TKE would be produced by the
673	! production terms, as long as not yet
674	! e = (u/cm)*2 at k=nzb+1
675	ELSE
676	kh = 0.00001
677	km = 0.00001
678	ENDIF
679	e = 0.0
680	ENDIF
681	rif = 0.0
682	ts = 0.0
683	us = 0.0
684	usws = 0.0
685	uswst = top_momentumflux_u
686	vsws = 0.0
687	vswst = top_momentumflux_v
688	IF ( humidity .OR. passive_scalar ) qs = 0.0
689
690	!
691	!-- Compute initial temperature field and other constants used in case
692	!-- of a sloping surface
693	IF ( sloping_surface ) CALL init_slope
694
695	ELSEIF ( INDEX(initializing_actions, 'by_user') /= 0 ) &
696	THEN
697	!
698	!-- Initialization will completely be done by the user
699	CALL user_init_3d_model
700
701	ENDIF
702	!
703	!-- Bottom boundary
704	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
705	u(nzb,:,:) = 0.0
706	v(nzb,:,:) = 0.0
707	ENDIF
708
709	!
710	!-- Apply channel flow boundary condition
711	IF ( TRIM( bc_uv_t ) == 'dirichlet_0' ) THEN
712	u(nzt+1,:,:) = 0.0
713	v(nzt+1,:,:) = 0.0
714	ENDIF
715
716	!
717	!-- Calculate virtual potential temperature
718	IF ( humidity ) vpt = pt * ( 1.0 + 0.61 * q )
719
720	!
721	!-- Store initial profiles for output purposes etc.
722	hom(:,1,5,:) = SPREAD( u(:,nys,nxl), 2, statistic_regions+1 )
723	hom(:,1,6,:) = SPREAD( v(:,nys,nxl), 2, statistic_regions+1 )
724	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2) THEN
725	hom(nzb,1,5,:) = 0.0
726	hom(nzb,1,6,:) = 0.0
727	ENDIF
728	hom(:,1,7,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
729	hom(:,1,23,:) = SPREAD( km(:,nys,nxl), 2, statistic_regions+1 )
730	hom(:,1,24,:) = SPREAD( kh(:,nys,nxl), 2, statistic_regions+1 )
731
732	IF ( ocean ) THEN
733	!
734	!-- Store initial salinity profile
735	hom(:,1,26,:) = SPREAD( sa(:,nys,nxl), 2, statistic_regions+1 )
736	ENDIF
737
738	IF ( humidity ) THEN
739	!
740	!-- Store initial profile of total water content, virtual potential
741	!-- temperature
742	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
743	hom(:,1,29,:) = SPREAD( vpt(:,nys,nxl), 2, statistic_regions+1 )
744	IF ( cloud_physics .OR. cloud_droplets ) THEN
745	!
746	!-- Store initial profile of specific humidity and potential
747	!-- temperature
748	hom(:,1,27,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
749	hom(:,1,28,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
750	ENDIF
751	ENDIF
752
753	IF ( passive_scalar ) THEN
754	!
755	!-- Store initial scalar profile
756	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
757	ENDIF
758
759	!
760	!-- Initialize fluxes at bottom surface
761	IF ( use_surface_fluxes ) THEN
762
763	IF ( constant_heatflux ) THEN
764	!
765	!-- Heat flux is prescribed
766	IF ( random_heatflux ) THEN
767	CALL disturb_heatflux
768	ELSE
769	shf = surface_heatflux
770	!
771	!-- Over topography surface_heatflux is replaced by wall_heatflux(0)
772	IF ( TRIM( topography ) /= 'flat' ) THEN
773	DO i = nxlg, nxrg
774	DO j = nysg, nyng
775	IF ( nzb_s_inner(j,i) /= 0 ) THEN
776	shf(j,i) = wall_heatflux(0)
777	ENDIF
778	ENDDO
779	ENDDO
780	ENDIF
781	ENDIF
782	IF ( ASSOCIATED( shf_m ) ) shf_m = shf
783	ENDIF
784
785	!
786	!-- Determine the near-surface water flux
787	IF ( humidity .OR. passive_scalar ) THEN
788	IF ( constant_waterflux ) THEN
789	qsws = surface_waterflux
790	!
791	!-- Over topography surface_waterflux is replaced by
792	!-- wall_humidityflux(0)
793	IF ( TRIM( topography ) /= 'flat' ) THEN
794	wall_qflux = wall_humidityflux
795	DO i = nxlg, nxrg
796	DO j = nysg, nyng
797	IF ( nzb_s_inner(j,i) /= 0 ) THEN
798	qsws(j,i) = wall_qflux(0)
799	ENDIF
800	ENDDO
801	ENDDO
802	ENDIF
803	IF ( ASSOCIATED( qsws_m ) ) qsws_m = qsws
804	ENDIF
805	ENDIF
806
807	ENDIF
808
809	!
810	!-- Initialize fluxes at top surface
811	!-- Currently, only the heatflux and salinity flux can be prescribed.
812	!-- The latent flux is zero in this case!
813	IF ( use_top_fluxes ) THEN
814
815	IF ( constant_top_heatflux ) THEN
816	!
817	!-- Heat flux is prescribed
818	tswst = top_heatflux
819	IF ( ASSOCIATED( tswst_m ) ) tswst_m = tswst
820
821	IF ( humidity .OR. passive_scalar ) THEN
822	qswst = 0.0
823	IF ( ASSOCIATED( qswst_m ) ) qswst_m = qswst
824	ENDIF
825
826	IF ( ocean ) THEN
827	saswsb = bottom_salinityflux
828	saswst = top_salinityflux
829	ENDIF
830	ENDIF
831
832	!
833	!-- Initialization in case of a coupled model run
834	IF ( coupling_mode == 'ocean_to_atmosphere' ) THEN
835	tswst = 0.0
836	IF ( ASSOCIATED( tswst_m ) ) tswst_m = tswst
837	ENDIF
838
839	ENDIF
840
841	!
842	!-- Initialize Prandtl layer quantities
843	IF ( prandtl_layer ) THEN
844
845	z0 = roughness_length
846
847	IF ( .NOT. constant_heatflux ) THEN
848	!
849	!-- Surface temperature is prescribed. Here the heat flux cannot be
850	!-- simply estimated, because therefore rif, u* and theta* would have
851	!-- to be computed by iteration. This is why the heat flux is assumed
852	!-- to be zero before the first time step. It approaches its correct
853	!-- value in the course of the first few time steps.
854	shf = 0.0
855	IF ( ASSOCIATED( shf_m ) ) shf_m = 0.0
856	ENDIF
857
858	IF ( humidity .OR. passive_scalar ) THEN
859	IF ( .NOT. constant_waterflux ) THEN
860	qsws = 0.0
861	IF ( ASSOCIATED( qsws_m ) ) qsws_m = 0.0
862	ENDIF
863	ENDIF
864
865	ENDIF
866
867
868	!
869	!-- For the moment, vertical velocity is zero
870	w = 0.0
871
872	!
873	!-- Initialize array sums (must be defined in first call of pres)
874	sums = 0.0
875
876	!
877	!-- In case of iterative solvers, p must get an initial value
878	IF ( psolver == 'multigrid' .OR. psolver == 'sor' ) p = 0.0
879
880	!
881	!-- Treating cloud physics, liquid water content and precipitation amount
882	!-- are zero at beginning of the simulation
883	IF ( cloud_physics ) THEN
884	ql = 0.0
885	IF ( precipitation ) precipitation_amount = 0.0
886	ENDIF
887	!
888	!-- Impose vortex with vertical axis on the initial velocity profile
889	IF ( INDEX( initializing_actions, 'initialize_vortex' ) /= 0 ) THEN
890	CALL init_rankine
891	ENDIF
892
893	!
894	!-- Impose temperature anomaly (advection test only)
895	IF ( INDEX( initializing_actions, 'initialize_ptanom' ) /= 0 ) THEN
896	CALL init_pt_anomaly
897	ENDIF
898
899	!
900	!-- If required, change the surface temperature at the start of the 3D run
901	IF ( pt_surface_initial_change /= 0.0 ) THEN
902	pt(nzb,:,:) = pt(nzb,:,:) + pt_surface_initial_change
903	ENDIF
904
905	!
906	!-- If required, change the surface humidity/scalar at the start of the 3D
907	!-- run
908	IF ( ( humidity .OR. passive_scalar ) .AND. &
909	q_surface_initial_change /= 0.0 ) THEN
910	q(nzb,:,:) = q(nzb,:,:) + q_surface_initial_change
911	ENDIF
912
913	!
914	!-- Initialize the random number generator (from numerical recipes)
915	CALL random_function_ini
916
917	!
918	!-- Initialize old and new time levels.
919	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
920	e_m = e; pt_m = pt; u_m = u; v_m = v; w_m = w; kh_m = kh; km_m = km
921	ELSE
922	te_m = 0.0; tpt_m = 0.0; tu_m = 0.0; tv_m = 0.0; tw_m = 0.0
923	ENDIF
924	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
925
926	IF ( humidity .OR. passive_scalar ) THEN
927	IF ( ASSOCIATED( q_m ) ) q_m = q
928	IF ( timestep_scheme(1:5) == 'runge' ) tq_m = 0.0
929	q_p = q
930	IF ( humidity .AND. ASSOCIATED( vpt_m ) ) vpt_m = vpt
931	ENDIF
932
933	IF ( ocean ) THEN
934	tsa_m = 0.0
935	sa_p = sa
936	ENDIF
937
938
939	ELSEIF ( TRIM( initializing_actions ) == 'read_restart_data' .OR. &
940	TRIM( initializing_actions ) == 'cyclic_fill' ) &
941	THEN
942	!
943	!-- When reading data for cyclic fill of 3D prerun data files, read
944	!-- some of the global variables from the restart file which are required
945	!-- for initializing the inflow
946	IF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
947
948	DO i = 0, io_blocks-1
949	IF ( i == io_group ) THEN
950	CALL read_parts_of_var_list
951	CALL close_file( 13 )
952	ENDIF
953	#if defined( __parallel )
954	CALL MPI_BARRIER( comm2d, ierr )
955	#endif
956	ENDDO
957
958	ENDIF
959
960	!
961	!-- Read binary data from restart file
962	DO i = 0, io_blocks-1
963	IF ( i == io_group ) THEN
964	CALL read_3d_binary
965	ENDIF
966	#if defined( __parallel )
967	CALL MPI_BARRIER( comm2d, ierr )
968	#endif
969	ENDDO
970
971	!
972	!-- Initialization of the turbulence recycling method
973	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. &
974	turbulent_inflow ) THEN
975	!
976	!-- First store the profiles to be used at the inflow.
977	!-- These profiles are the (temporally) and horizontally averaged vertical
978	!-- profiles from the prerun. Alternatively, prescribed profiles
979	!-- for u,v-components can be used.
980	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
981
982	IF ( use_prescribed_profile_data ) THEN
983	mean_inflow_profiles(:,1) = u_init ! u
984	mean_inflow_profiles(:,2) = v_init ! v
985	ELSE
986	mean_inflow_profiles(:,1) = hom_sum(:,1,0) ! u
987	mean_inflow_profiles(:,2) = hom_sum(:,2,0) ! v
988	ENDIF
989	mean_inflow_profiles(:,4) = hom_sum(:,4,0) ! pt
990	mean_inflow_profiles(:,5) = hom_sum(:,8,0) ! e
991
992	!
993	!-- If necessary, adjust the horizontal flow field to the prescribed
994	!-- profiles
995	IF ( use_prescribed_profile_data ) THEN
996	DO i = nxlg, nxrg
997	DO j = nysg, nyng
998	DO k = nzb, nzt+1
999	u(k,j,i) = u(k,j,i) - hom_sum(k,1,0) + u_init(k)
1000	v(k,j,i) = v(k,j,i) - hom_sum(k,2,0) + v_init(k)
1001	ENDDO
1002	ENDDO
1003	ENDDO
1004	ENDIF
1005
1006	!
1007	!-- Use these mean profiles at the inflow (provided that Dirichlet
1008	!-- conditions are used)
1009	IF ( inflow_l ) THEN
1010	DO j = nysg, nyng
1011	DO k = nzb, nzt+1
1012	u(k,j,nxlg:-1) = mean_inflow_profiles(k,1)
1013	v(k,j,nxlg:-1) = mean_inflow_profiles(k,2)
1014	w(k,j,nxlg:-1) = 0.0
1015	pt(k,j,nxlg:-1) = mean_inflow_profiles(k,4)
1016	e(k,j,nxlg:-1) = mean_inflow_profiles(k,5)
1017	ENDDO
1018	ENDDO
1019	ENDIF
1020
1021	!
1022	!-- Calculate the damping factors to be used at the inflow. For a
1023	!-- turbulent inflow the turbulent fluctuations have to be limited
1024	!-- vertically because otherwise the turbulent inflow layer will grow
1025	!-- in time.
1026	IF ( inflow_damping_height == 9999999.9 ) THEN
1027	!
1028	!-- Default: use the inversion height calculated by the prerun; if
1029	!-- this is zero, inflow_damping_height must be explicitly
1030	!-- specified.
1031	IF ( hom_sum(nzb+6,pr_palm,0) /= 0.0 ) THEN
1032	inflow_damping_height = hom_sum(nzb+6,pr_palm,0)
1033	ELSE
1034	WRITE( message_string, * ) 'inflow_damping_height must be ',&
1035	'explicitly specified because&the inversion height ', &
1036	'calculated by the prerun is zero.'
1037	CALL message( 'init_3d_model', 'PA0318', 1, 2, 0, 6, 0 )
1038	ENDIF
1039
1040	ENDIF
1041
1042	IF ( inflow_damping_width == 9999999.9 ) THEN
1043	!
1044	!-- Default for the transition range: one tenth of the undamped
1045	!-- layer
1046	inflow_damping_width = 0.1 * inflow_damping_height
1047
1048	ENDIF
1049
1050	ALLOCATE( inflow_damping_factor(nzb:nzt+1) )
1051
1052	DO k = nzb, nzt+1
1053
1054	IF ( zu(k) <= inflow_damping_height ) THEN
1055	inflow_damping_factor(k) = 1.0
1056	ELSEIF ( zu(k) <= inflow_damping_height + &
1057	inflow_damping_width ) THEN
1058	inflow_damping_factor(k) = 1.0 - &
1059	( zu(k) - inflow_damping_height ) / &
1060	inflow_damping_width
1061	ELSE
1062	inflow_damping_factor(k) = 0.0
1063	ENDIF
1064
1065	ENDDO
1066
1067	ENDIF
1068
1069	!
1070	!-- Inside buildings set velocities and TKE back to zero
1071	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. &
1072	topography /= 'flat' ) THEN
1073	!
1074	!-- Inside buildings set velocities and TKE back to zero.
1075	!-- Other scalars (pt, q, s, km, kh, p, sa, ...) are ignored at present,
1076	!-- maybe revise later.
1077	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1078	DO i = nxlg, nxrg
1079	DO j = nysg, nyng
1080	u (nzb:nzb_u_inner(j,i),j,i) = 0.0
1081	v (nzb:nzb_v_inner(j,i),j,i) = 0.0
1082	w (nzb:nzb_w_inner(j,i),j,i) = 0.0
1083	e (nzb:nzb_w_inner(j,i),j,i) = 0.0
1084	u_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1085	v_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1086	w_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1087	e_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1088	tu_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1089	tv_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1090	tw_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1091	te_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1092	tpt_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1093	ENDDO
1094	ENDDO
1095	ELSE
1096	DO i = nxlg, nxrg
1097	DO j = nysg, nyng
1098	u (nzb:nzb_u_inner(j,i),j,i) = 0.0
1099	v (nzb:nzb_v_inner(j,i),j,i) = 0.0
1100	w (nzb:nzb_w_inner(j,i),j,i) = 0.0
1101	e (nzb:nzb_w_inner(j,i),j,i) = 0.0
1102	u_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1103	v_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1104	w_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1105	e_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1106	u_p(nzb:nzb_u_inner(j,i),j,i) = 0.0
1107	v_p(nzb:nzb_v_inner(j,i),j,i) = 0.0
1108	w_p(nzb:nzb_w_inner(j,i),j,i) = 0.0
1109	e_p(nzb:nzb_w_inner(j,i),j,i) = 0.0
1110	ENDDO
1111	ENDDO
1112	ENDIF
1113
1114	ENDIF
1115
1116	!
1117	!-- Calculate initial temperature field and other constants used in case
1118	!-- of a sloping surface
1119	IF ( sloping_surface ) CALL init_slope
1120
1121	!
1122	!-- Initialize new time levels (only done in order to set boundary values
1123	!-- including ghost points)
1124	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
1125	IF ( humidity .OR. passive_scalar ) q_p = q
1126	IF ( ocean ) sa_p = sa
1127
1128	!
1129	!-- Allthough tendency arrays are set in prognostic_equations, they have
1130	!-- have to be predefined here because they are used (but multiplied with 0)
1131	!-- there before they are set.
1132	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1133	te_m = 0.0; tpt_m = 0.0; tu_m = 0.0; tv_m = 0.0; tw_m = 0.0
1134	IF ( humidity .OR. passive_scalar ) tq_m = 0.0
1135	IF ( ocean ) tsa_m = 0.0
1136	ENDIF
1137
1138	ELSE
1139	!
1140	!-- Actually this part of the programm should not be reached
1141	message_string = 'unknown initializing problem'
1142	CALL message( 'init_3d_model', 'PA0193', 1, 2, 0, 6, 0 )
1143	ENDIF
1144
1145
1146	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1147	!
1148	!-- Initialize old timelevels needed for radiation boundary conditions
1149	IF ( outflow_l ) THEN
1150	u_m_l(:,:,:) = u(:,:,1:2)
1151	v_m_l(:,:,:) = v(:,:,0:1)
1152	w_m_l(:,:,:) = w(:,:,0:1)
1153	ENDIF
1154	IF ( outflow_r ) THEN
1155	u_m_r(:,:,:) = u(:,:,nx-1:nx)
1156	v_m_r(:,:,:) = v(:,:,nx-1:nx)
1157	w_m_r(:,:,:) = w(:,:,nx-1:nx)
1158	ENDIF
1159	IF ( outflow_s ) THEN
1160	u_m_s(:,:,:) = u(:,0:1,:)
1161	v_m_s(:,:,:) = v(:,1:2,:)
1162	w_m_s(:,:,:) = w(:,0:1,:)
1163	ENDIF
1164	IF ( outflow_n ) THEN
1165	u_m_n(:,:,:) = u(:,ny-1:ny,:)
1166	v_m_n(:,:,:) = v(:,ny-1:ny,:)
1167	w_m_n(:,:,:) = w(:,ny-1:ny,:)
1168	ENDIF
1169
1170	ENDIF
1171
1172	!
1173	!-- Calculate the initial volume flow at the right and north boundary
1174	IF ( conserve_volume_flow ) THEN
1175
1176	IF ( use_prescribed_profile_data ) THEN
1177
1178	volume_flow_initial_l = 0.0
1179	volume_flow_area_l = 0.0
1180
1181	IF ( nxr == nx ) THEN
1182	DO j = nys, nyn
1183	DO k = nzb_2d(j,nx)+1, nzt
1184	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1185	u_init(k) * dzw(k)
1186	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1187	ENDDO
1188	ENDDO
1189	ENDIF
1190
1191	IF ( nyn == ny ) THEN
1192	DO i = nxl, nxr
1193	DO k = nzb_2d(ny,i)+1, nzt
1194	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1195	v_init(k) * dzw(k)
1196	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1197	ENDDO
1198	ENDDO
1199	ENDIF
1200
1201	#if defined( __parallel )
1202	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1203	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1204	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1205	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1206
1207	#else
1208	volume_flow_initial = volume_flow_initial_l
1209	volume_flow_area = volume_flow_area_l
1210	#endif
1211
1212	ELSEIF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
1213
1214	volume_flow_initial_l = 0.0
1215	volume_flow_area_l = 0.0
1216
1217	IF ( nxr == nx ) THEN
1218	DO j = nys, nyn
1219	DO k = nzb_2d(j,nx)+1, nzt
1220	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1221	hom_sum(k,1,0) * dzw(k)
1222	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1223	ENDDO
1224	ENDDO
1225	ENDIF
1226
1227	IF ( nyn == ny ) THEN
1228	DO i = nxl, nxr
1229	DO k = nzb_2d(ny,i)+1, nzt
1230	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1231	hom_sum(k,2,0) * dzw(k)
1232	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1233	ENDDO
1234	ENDDO
1235	ENDIF
1236
1237	#if defined( __parallel )
1238	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1239	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1240	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1241	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1242
1243	#else
1244	volume_flow_initial = volume_flow_initial_l
1245	volume_flow_area = volume_flow_area_l
1246	#endif
1247
1248	ELSEIF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1249
1250	volume_flow_initial_l = 0.0
1251	volume_flow_area_l = 0.0
1252
1253	IF ( nxr == nx ) THEN
1254	DO j = nys, nyn
1255	DO k = nzb_2d(j,nx)+1, nzt
1256	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1257	u(k,j,nx) * dzw(k)
1258	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1259	ENDDO
1260	ENDDO
1261	ENDIF
1262
1263	IF ( nyn == ny ) THEN
1264	DO i = nxl, nxr
1265	DO k = nzb_2d(ny,i)+1, nzt
1266	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1267	v(k,ny,i) * dzw(k)
1268	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1269	ENDDO
1270	ENDDO
1271	ENDIF
1272
1273	#if defined( __parallel )
1274	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1275	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1276	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1277	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1278
1279	#else
1280	volume_flow_initial = volume_flow_initial_l
1281	volume_flow_area = volume_flow_area_l
1282	#endif
1283
1284	ENDIF
1285
1286	!
1287	!-- In case of 'bulk_velocity' mode, volume_flow_initial is calculated
1288	!-- from u\|v_bulk instead
1289	IF ( TRIM( conserve_volume_flow_mode ) == 'bulk_velocity' ) THEN
1290	volume_flow_initial(1) = u_bulk * volume_flow_area(1)
1291	volume_flow_initial(2) = v_bulk * volume_flow_area(2)
1292	ENDIF
1293
1294	ENDIF
1295
1296	!
1297	!-- Initialize quantities for special advections schemes
1298	CALL init_advec
1299
1300	!
1301	!-- Impose random perturbation on the horizontal velocity field and then
1302	!-- remove the divergences from the velocity field at the initial stage
1303	IF ( create_disturbances .AND. &
1304	TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
1305	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
1306
1307	CALL disturb_field( nzb_u_inner, tend, u )
1308	CALL disturb_field( nzb_v_inner, tend, v )
1309	n_sor = nsor_ini
1310	CALL pres
1311	n_sor = nsor
1312	ENDIF
1313
1314	!
1315	!-- Initialization of the leaf area density
1316	IF ( plant_canopy ) THEN
1317
1318	SELECT CASE ( TRIM( canopy_mode ) )
1319
1320	CASE( 'block' )
1321
1322	DO i = nxlg, nxrg
1323	DO j = nysg, nyng
1324	lad_s(:,j,i) = lad(:)
1325	cdc(:,j,i) = drag_coefficient
1326	IF ( passive_scalar ) THEN
1327	sls(:,j,i) = leaf_surface_concentration
1328	sec(:,j,i) = scalar_exchange_coefficient
1329	ENDIF
1330	ENDDO
1331	ENDDO
1332
1333	CASE DEFAULT
1334
1335	!
1336	!-- The DEFAULT case is reached either if the parameter
1337	!-- canopy mode contains a wrong character string or if the
1338	!-- user has coded a special case in the user interface.
1339	!-- There, the subroutine user_init_plant_canopy checks
1340	!-- which of these two conditions applies.
1341	CALL user_init_plant_canopy
1342
1343	END SELECT
1344
1345	CALL exchange_horiz( lad_s, nbgp )
1346	CALL exchange_horiz( cdc, nbgp )
1347
1348	IF ( passive_scalar ) THEN
1349	CALL exchange_horiz( sls, nbgp )
1350	CALL exchange_horiz( sec, nbgp )
1351	ENDIF
1352
1353	!
1354	!-- Sharp boundaries of the plant canopy in horizontal directions
1355	!-- In vertical direction the interpolation is retained, as the leaf
1356	!-- area density is initialised by prescribing a vertical profile
1357	!-- consisting of piecewise linear segments. The upper boundary
1358	!-- of the plant canopy is now defined by lad_w(pch_index,:,:) = 0.0.
1359
1360	DO i = nxl, nxr
1361	DO j = nys, nyn
1362	DO k = nzb, nzt+1
1363	IF ( lad_s(k,j,i) > 0.0 ) THEN
1364	lad_u(k,j,i) = lad_s(k,j,i)
1365	lad_u(k,j,i+1) = lad_s(k,j,i)
1366	lad_v(k,j,i) = lad_s(k,j,i)
1367	lad_v(k,j+1,i) = lad_s(k,j,i)
1368	ENDIF
1369	ENDDO
1370	DO k = nzb, nzt
1371	lad_w(k,j,i) = 0.5 * ( lad_s(k+1,j,i) + lad_s(k,j,i) )
1372	ENDDO
1373	ENDDO
1374	ENDDO
1375
1376	lad_w(pch_index,:,:) = 0.0
1377	lad_w(nzt+1,:,:) = lad_w(nzt,:,:)
1378
1379	CALL exchange_horiz( lad_u, nbgp )
1380	CALL exchange_horiz( lad_v, nbgp )
1381	CALL exchange_horiz( lad_w, nbgp )
1382
1383	!
1384	!-- Initialisation of the canopy heat source distribution
1385	IF ( cthf /= 0.0 ) THEN
1386	!
1387	!-- Piecewise evaluation of the leaf area index by
1388	!-- integration of the leaf area density
1389	lai(:,:,:) = 0.0
1390	DO i = nxlg, nxrg
1391	DO j = nysg, nyng
1392	DO k = pch_index-1, 0, -1
1393	lai(k,j,i) = lai(k+1,j,i) + &
1394	( 0.5 * ( lad_w(k+1,j,i) + &
1395	lad_s(k+1,j,i) ) * &
1396	( zw(k+1) - zu(k+1) ) ) + &
1397	( 0.5 * ( lad_w(k,j,i) + &
1398	lad_s(k+1,j,i) ) * &
1399	( zu(k+1) - zw(k) ) )
1400	ENDDO
1401	ENDDO
1402	ENDDO
1403
1404	!
1405	!-- Evaluation of the upward kinematic vertical heat flux within the
1406	!-- canopy
1407	DO i = nxlg, nxrg
1408	DO j = nysg, nyng
1409	DO k = 0, pch_index
1410	canopy_heat_flux(k,j,i) = cthf * &
1411	exp( -0.6 * lai(k,j,i) )
1412	ENDDO
1413	ENDDO
1414	ENDDO
1415
1416	!
1417	!-- The near surface heat flux is derived from the heat flux
1418	!-- distribution within the canopy
1419	shf(:,:) = canopy_heat_flux(0,:,:)
1420
1421	IF ( ASSOCIATED( shf_m ) ) shf_m = shf
1422
1423	ENDIF
1424
1425	ENDIF
1426
1427	!
1428	!-- If required, initialize dvrp-software
1429	IF ( dt_dvrp /= 9999999.9 ) CALL init_dvrp
1430
1431	IF ( ocean ) THEN
1432	!
1433	!-- Initialize quantities needed for the ocean model
1434	CALL init_ocean
1435
1436	ELSE
1437	!
1438	!-- Initialize quantities for handling cloud physics
1439	!-- This routine must be called before init_particles, because
1440	!-- otherwise, array pt_d_t, needed in data_output_dvrp (called by
1441	!-- init_particles) is not defined.
1442	CALL init_cloud_physics
1443	ENDIF
1444
1445	!
1446	!-- If required, initialize particles
1447	IF ( particle_advection ) CALL init_particles
1448
1449	!
1450	!-- Initialize the ws-scheme.
1451	IF ( ws_scheme_sca .OR. ws_scheme_mom ) CALL ws_init
1452
1453	!
1454	!-- Setting weighting factors for calculation of perturbation pressure
1455	!-- and turbulent quantities from the RK substeps
1456	IF ( TRIM(timestep_scheme) == 'runge-kutta-3' ) THEN ! for RK3-method
1457
1458	weight_substep(1) = 1./6.
1459	weight_substep(2) = 3./10.
1460	weight_substep(3) = 8./15.
1461
1462	weight_pres(1) = 1./3.
1463	weight_pres(2) = 5./12.
1464	weight_pres(3) = 1./4.
1465
1466	ELSEIF ( TRIM(timestep_scheme) == 'runge-kutta-2' ) THEN ! for RK2-method
1467
1468	weight_substep(1) = 1./2.
1469	weight_substep(2) = 1./2.
1470
1471	weight_pres(1) = 1./2.
1472	weight_pres(2) = 1./2.
1473
1474	ELSE ! for Euler- and leapfrog-method
1475
1476	weight_substep(1) = 1.0
1477	weight_pres(1) = 1.0
1478
1479	ENDIF
1480
1481	!
1482	!-- Initialize Rayleigh damping factors
1483	rdf = 0.0
1484	rdf_sc = 0.0
1485	IF ( rayleigh_damping_factor /= 0.0 ) THEN
1486	IF ( .NOT. ocean ) THEN
1487	DO k = nzb+1, nzt
1488	IF ( zu(k) >= rayleigh_damping_height ) THEN
1489	rdf(k) = rayleigh_damping_factor * &
1490	( SIN( pi * 0.5 * ( zu(k) - rayleigh_damping_height ) &
1491	/ ( zu(nzt) - rayleigh_damping_height ) )&
1492	)**2
1493	ENDIF
1494	ENDDO
1495	ELSE
1496	DO k = nzt, nzb+1, -1
1497	IF ( zu(k) <= rayleigh_damping_height ) THEN
1498	rdf(k) = rayleigh_damping_factor * &
1499	( SIN( pi * 0.5 * ( rayleigh_damping_height - zu(k) ) &
1500	/ ( rayleigh_damping_height - zu(nzb+1)))&
1501	)**2
1502	ENDIF
1503	ENDDO
1504	ENDIF
1505	ENDIF
1506	IF ( scalar_rayleigh_damping ) rdf_sc = rdf
1507
1508	!
1509	!-- Initialize the starting level and the vertical smoothing factor used for
1510	!-- the external pressure gradient
1511	dp_smooth_factor = 1.0
1512	IF ( dp_external ) THEN
1513	!
1514	!-- Set the starting level dp_level_ind_b only if it has not been set before
1515	!-- (e.g. in init_grid).
1516	IF ( dp_level_ind_b == 0 ) THEN
1517	ind_array = MINLOC( ABS( dp_level_b - zu ) )
1518	dp_level_ind_b = ind_array(1) - 1 + nzb
1519	! MINLOC uses lower array bound 1
1520	ENDIF
1521	IF ( dp_smooth ) THEN
1522	dp_smooth_factor(:dp_level_ind_b) = 0.0
1523	DO k = dp_level_ind_b+1, nzt
1524	dp_smooth_factor(k) = 0.5 * ( 1.0 + SIN( pi * &
1525	( REAL( k - dp_level_ind_b ) / &
1526	REAL( nzt - dp_level_ind_b ) - 0.5 ) ) )
1527	ENDDO
1528	ENDIF
1529	ENDIF
1530
1531	!
1532	!-- Initialize diffusivities used within the outflow damping layer in case of
1533	!-- non-cyclic lateral boundaries. A linear increase is assumed over the first
1534	!-- half of the width of the damping layer
1535	IF ( bc_lr_dirrad ) THEN
1536
1537	DO i = nxlg, nxrg
1538	IF ( i >= nx - outflow_damping_width ) THEN
1539	km_damp_x(i) = km_damp_max * MIN( 1.0, &
1540	( i - ( nx - outflow_damping_width ) ) / &
1541	REAL( outflow_damping_width/2 ) &
1542	)
1543	ELSE
1544	km_damp_x(i) = 0.0
1545	ENDIF
1546	ENDDO
1547
1548	ELSEIF ( bc_lr_raddir ) THEN
1549
1550	DO i = nxlg, nxrg
1551	IF ( i <= outflow_damping_width ) THEN
1552	km_damp_x(i) = km_damp_max * MIN( 1.0, &
1553	( outflow_damping_width - i ) / &
1554	REAL( outflow_damping_width/2 ) &
1555	)
1556	ELSE
1557	km_damp_x(i) = 0.0
1558	ENDIF
1559	ENDDO
1560
1561	ENDIF
1562
1563	IF ( bc_ns_dirrad ) THEN
1564
1565	DO j = nysg, nyng
1566	IF ( j >= ny - outflow_damping_width ) THEN
1567	km_damp_y(j) = km_damp_max * MIN( 1.0, &
1568	( j - ( ny - outflow_damping_width ) ) / &
1569	REAL( outflow_damping_width/2 ) &
1570	)
1571	ELSE
1572	km_damp_y(j) = 0.0
1573	ENDIF
1574	ENDDO
1575
1576	ELSEIF ( bc_ns_raddir ) THEN
1577
1578	DO j = nysg, nyng
1579	IF ( j <= outflow_damping_width ) THEN
1580	km_damp_y(j) = km_damp_max * MIN( 1.0, &
1581	( outflow_damping_width - j ) / &
1582	REAL( outflow_damping_width/2 ) &
1583	)
1584	ELSE
1585	km_damp_y(j) = 0.0
1586	ENDIF
1587	ENDDO
1588
1589	ENDIF
1590
1591	!
1592	!-- Initialize local summation arrays for routine flow_statistics.
1593	!-- This is necessary because they may not yet have been initialized when they
1594	!-- are called from flow_statistics (or - depending on the chosen model run -
1595	!-- are never initialized)
1596	sums_divnew_l = 0.0
1597	sums_divold_l = 0.0
1598	sums_l_l = 0.0
1599	sums_up_fraction_l = 0.0
1600	sums_wsts_bc_l = 0.0
1601
1602	!
1603	!-- Pre-set masks for regional statistics. Default is the total model domain.
1604	rmask = 1.0
1605
1606	!
1607	!-- User-defined initializing actions. Check afterwards, if maximum number
1608	!-- of allowed timeseries is exceeded
1609	CALL user_init
1610
1611	IF ( dots_num > dots_max ) THEN
1612	WRITE( message_string, * ) 'number of time series quantities exceeds', &
1613	' its maximum of dots_max = ', dots_max, &
1614	' &Please increase dots_max in modules.f90.'
1615	CALL message( 'init_3d_model', 'PA0194', 1, 2, 0, 6, 0 )
1616	ENDIF
1617
1618	!
1619	!-- Input binary data file is not needed anymore. This line must be placed
1620	!-- after call of user_init!
1621	CALL close_file( 13 )
1622
1623	!
1624	!-- Compute total sum of active mask grid points
1625	!-- ngp_2dh: number of grid points of a horizontal cross section through the
1626	!-- total domain
1627	!-- ngp_3d: number of grid points of the total domain
1628	ngp_2dh_outer_l = 0
1629	ngp_2dh_outer = 0
1630	ngp_2dh_s_inner_l = 0
1631	ngp_2dh_s_inner = 0
1632	ngp_2dh_l = 0
1633	ngp_2dh = 0
1634	ngp_3d_inner_l = 0.0
1635	ngp_3d_inner = 0
1636	ngp_3d = 0
1637	ngp_sums = ( nz + 2 ) * ( pr_palm + max_pr_user )
1638
1639	DO sr = 0, statistic_regions
1640	DO i = nxl, nxr
1641	DO j = nys, nyn
1642	IF ( rmask(j,i,sr) == 1.0 ) THEN
1643	!
1644	!-- All xy-grid points
1645	ngp_2dh_l(sr) = ngp_2dh_l(sr) + 1
1646	!
1647	!-- xy-grid points above topography
1648	DO k = nzb_s_outer(j,i), nz + 1
1649	ngp_2dh_outer_l(k,sr) = ngp_2dh_outer_l(k,sr) + 1
1650	ENDDO
1651	DO k = nzb_s_inner(j,i), nz + 1
1652	ngp_2dh_s_inner_l(k,sr) = ngp_2dh_s_inner_l(k,sr) + 1
1653	ENDDO
1654	!
1655	!-- All grid points of the total domain above topography
1656	ngp_3d_inner_l(sr) = ngp_3d_inner_l(sr) + &
1657	( nz - nzb_s_inner(j,i) + 2 )
1658	ENDIF
1659	ENDDO
1660	ENDDO
1661	ENDDO
1662
1663	sr = statistic_regions + 1
1664	#if defined( __parallel )
1665	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1666	CALL MPI_ALLREDUCE( ngp_2dh_l(0), ngp_2dh(0), sr, MPI_INTEGER, MPI_SUM, &
1667	comm2d, ierr )
1668	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1669	CALL MPI_ALLREDUCE( ngp_2dh_outer_l(0,0), ngp_2dh_outer(0,0), (nz+2)*sr, &
1670	MPI_INTEGER, MPI_SUM, comm2d, ierr )
1671	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1672	CALL MPI_ALLREDUCE( ngp_2dh_s_inner_l(0,0), ngp_2dh_s_inner(0,0), &
1673	(nz+2)*sr, MPI_INTEGER, MPI_SUM, comm2d, ierr )
1674	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1675	CALL MPI_ALLREDUCE( ngp_3d_inner_l(0), ngp_3d_inner_tmp(0), sr, MPI_REAL, &
1676	MPI_SUM, comm2d, ierr )
1677	ngp_3d_inner = INT( ngp_3d_inner_tmp, KIND = SELECTED_INT_KIND( 18 ) )
1678	#else
1679	ngp_2dh = ngp_2dh_l
1680	ngp_2dh_outer = ngp_2dh_outer_l
1681	ngp_2dh_s_inner = ngp_2dh_s_inner_l
1682	ngp_3d_inner = INT( ngp_3d_inner_l, KIND = SELECTED_INT_KIND( 18 ) )
1683	#endif
1684
1685	ngp_3d = INT ( ngp_2dh, KIND = SELECTED_INT_KIND( 18 ) ) * &
1686	INT ( (nz + 2 ), KIND = SELECTED_INT_KIND( 18 ) )
1687
1688	!
1689	!-- Set a lower limit of 1 in order to avoid zero divisions in flow_statistics,
1690	!-- buoyancy, etc. A zero value will occur for cases where all grid points of
1691	!-- the respective subdomain lie below the surface topography
1692	ngp_2dh_outer = MAX( 1, ngp_2dh_outer(:,:) )
1693	ngp_3d_inner = MAX( INT(1, KIND = SELECTED_INT_KIND( 18 )), &
1694	ngp_3d_inner(:) )
1695	ngp_2dh_s_inner = MAX( 1, ngp_2dh_s_inner(:,:) )
1696
1697	DEALLOCATE( ngp_2dh_l, ngp_2dh_outer_l, ngp_3d_inner_l, ngp_3d_inner_tmp )
1698
1699
1700	END SUBROUTINE init_3d_model

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