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source: palm/trunk/SOURCE/init_3d_model.f90 @ 966

Last change on this file since 966 was 850, 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 850 2012-03-15 12:09:25Z raasch $
14	!
15	! 849 2012-03-15 10:35:09Z raasch
16	! init_particles renamed lpm_init
17	!
18	! 825 2012-02-19 03:03:44Z raasch
19	! wang_collision_kernel renamed wang_kernel
20	!
21	! 790 2011-11-29 03:11:20Z raasch
22	! diss is also allocated in case that the Wang kernel is used
23	!
24	! 787 2011-11-28 12:49:05Z heinze $
25	! bugfix: call init_advec in every case - not only for inital runs
26	!
27	! 785 2011-11-28 09:47:19Z raasch
28	! initialization of rdf_sc
29	!
30	! 767 2011-10-14 06:39:12Z raasch
31	! adjustments concerning implementation of prescribed u,v-profiles
32	! bugfix: dirichlet_0 conditions for ug/vg moved to check_parameters
33	!
34	! 759 2011-09-15 13:58:31Z raasch
35	! Splitting of parallel I/O in blocks of PEs
36	! Bugfix: No zero assignments to volume_flow_initial and volume_flow_area in
37	! case of normal restart runs.
38	!
39	! 713 2011-03-30 14:21:21Z suehring
40	! weight_substep and weight_pres are given as fractions.
41	!
42	! 709 2011-03-30 09:31:40Z raasch
43	! formatting adjustments
44	!
45	! 707 2011-03-29 11:39:40Z raasch
46	! p_sub renamed p_loc and allocated depending on the chosen pressure solver,
47	! initial assignments of zero to array p for iterative solvers only,
48	! bc_lr/ns replaced by bc_lr/ns_dirrad/raddir
49	!
50	! 680 2011-02-04 23:16:06Z gryschka
51	! bugfix: volume_flow_control
52	!
53	! 673 2011-01-18 16:19:48Z suehring
54	! weight_substep (moved from advec_ws) and weight_pres added.
55	! Allocate p_sub when using Multigrid or SOR solver.
56	! Call of ws_init moved behind the if requests.
57	!
58	! 667 2010-12-23 12:06:00Z suehring/gryschka
59	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng in loops and
60	! allocation of arrays. Calls of exchange_horiz are modified.
61	! Call ws_init to initialize arrays needed for calculating statisticas and for
62	! optimization when ws-scheme is used.
63	! Initial volume flow is now calculated by using the variable hom_sum.
64	! Therefore the correction of initial volume flow for non-flat topography
65	! removed (removed u_nzb_p1_for_vfc and v_nzb_p1_for_vfc)
66	! Changed surface boundary conditions for u and v in case of ibc_uv_b == 0 from
67	! mirror to Dirichlet boundary conditions (u=v=0), so that k=nzb is
68	! representative for the height z0.
69	! Bugfix: type conversion of '1' to 64bit for the MAX function (ngp_3d_inner)
70	!
71	! 622 2010-12-10 08:08:13Z raasch
72	! optional barriers included in order to speed up collective operations
73	!
74	! 560 2010-09-09 10:06:09Z weinreis
75	! bugfix: correction of calculating ngp_3d for 64 bit
76	!
77	! 485 2010-02-05 10:57:51Z raasch
78	! calculation of ngp_3d + ngp_3d_inner changed because they have now 64 bit
79	!
80	! 407 2009-12-01 15:01:15Z maronga
81	! var_ts is replaced by dots_max
82	! Enabled passive scalar/humidity wall fluxes for non-flat topography
83	!
84	! 388 2009-09-23 09:40:33Z raasch
85	! Initialization of prho added.
86	! bugfix: correction of initial volume flow for non-flat topography
87	! bugfix: zero initialization of arrays within buildings for 'cyclic_fill'
88	! bugfix: avoid that ngp_2dh_s_inner becomes zero
89	! initializing_actions='read_data_for_recycling' renamed to 'cyclic_fill', now
90	! independent of turbulent_inflow
91	! Output of messages replaced by message handling routine.
92	! Set the starting level and the vertical smoothing factor used for
93	! the external pressure gradient
94	! +conserve_volume_flow_mode: 'default', 'initial_profiles', 'inflow_profile'
95	! and 'bulk_velocity'
96	! If the inversion height calculated by the prerun is zero,
97	! inflow_damping_height must be explicitly specified.
98	!
99	! 181 2008-07-30 07:07:47Z raasch
100	! bugfix: zero assignments to tendency arrays in case of restarts,
101	! further extensions and modifications in the initialisation of the plant
102	! canopy model,
103	! allocation of hom_sum moved to parin, initialization of spectrum_x\|y directly
104	! after allocating theses arrays,
105	! read data for recycling added as new initialization option,
106	! dummy allocation for diss
107	!
108	! 138 2007-11-28 10:03:58Z letzel
109	! New counter ngp_2dh_s_inner.
110	! Allow new case bc_uv_t = 'dirichlet_0' for channel flow.
111	! Corrected calculation of initial volume flow for 'set_1d-model_profiles' and
112	! 'set_constant_profiles' in case of buildings in the reference cross-sections.
113	!
114	! 108 2007-08-24 15:10:38Z letzel
115	! Flux initialization in case of coupled runs, +momentum fluxes at top boundary,
116	! +arrays for phase speed c_u, c_v, c_w, indices for u\|v\|w_m_l\|r changed
117	! +qswst_remote in case of atmosphere model with humidity coupled to ocean
118	! Rayleigh damping for ocean, optionally calculate km and kh from initial
119	! TKE e_init
120	!
121	! 97 2007-06-21 08:23:15Z raasch
122	! Initialization of salinity, call of init_ocean
123	!
124	! 87 2007-05-22 15:46:47Z raasch
125	! var_hom and var_sum renamed pr_palm
126	!
127	! 75 2007-03-22 09:54:05Z raasch
128	! Arrays for radiation boundary conditions are allocated (u_m_l, u_m_r, etc.),
129	! bugfix for cases with the outflow damping layer extending over more than one
130	! subdomain, moisture renamed humidity,
131	! new initializing action "by_user" calls user_init_3d_model,
132	! precipitation_amount/rate, ts_value are allocated, +module netcdf_control,
133	! initial velocities at nzb+1 are regarded for volume
134	! flow control in case they have been set zero before (to avoid small timesteps)
135	! -uvmean_outflow, uxrp, vynp eliminated
136	!
137	! 19 2007-02-23 04:53:48Z raasch
138	! +handling of top fluxes
139	!
140	! RCS Log replace by Id keyword, revision history cleaned up
141	!
142	! Revision 1.49 2006/08/22 15:59:07 raasch
143	! No optimization of this file on the ibmy (Yonsei Univ.)
144	!
145	! Revision 1.1 1998/03/09 16:22:22 raasch
146	! Initial revision
147	!
148	!
149	! Description:
150	! ------------
151	! Allocation of arrays and initialization of the 3D model via
152	! a) pre-run the 1D model
153	! or
154	! b) pre-set constant linear profiles
155	! or
156	! c) read values of a previous run
157	!------------------------------------------------------------------------------!
158
159	USE advec_ws
160	USE arrays_3d
161	USE averaging
162	USE cloud_parameters
163	USE constants
164	USE control_parameters
165	USE cpulog
166	USE indices
167	USE interfaces
168	USE model_1d
169	USE netcdf_control
170	USE particle_attributes
171	USE pegrid
172	USE profil_parameter
173	USE random_function_mod
174	USE statistics
175
176	IMPLICIT NONE
177
178	INTEGER :: i, ind_array(1), j, k, sr
179
180	INTEGER, DIMENSION(:), ALLOCATABLE :: ngp_2dh_l
181
182	INTEGER, DIMENSION(:,:), ALLOCATABLE :: ngp_2dh_outer_l, &
183	ngp_2dh_s_inner_l
184
185	REAL :: a, b
186
187	REAL, DIMENSION(1:2) :: volume_flow_area_l, volume_flow_initial_l
188
189	REAL, DIMENSION(:), ALLOCATABLE :: ngp_3d_inner_l, ngp_3d_inner_tmp
190
191
192	!
193	!-- Allocate arrays
194	ALLOCATE( ngp_2dh(0:statistic_regions), ngp_2dh_l(0:statistic_regions), &
195	ngp_3d(0:statistic_regions), &
196	ngp_3d_inner(0:statistic_regions), &
197	ngp_3d_inner_l(0:statistic_regions), &
198	ngp_3d_inner_tmp(0:statistic_regions), &
199	sums_divnew_l(0:statistic_regions), &
200	sums_divold_l(0:statistic_regions) )
201	ALLOCATE( dp_smooth_factor(nzb:nzt), rdf(nzb+1:nzt), rdf_sc(nzb+1:nzt) )
202	ALLOCATE( ngp_2dh_outer(nzb:nzt+1,0:statistic_regions), &
203	ngp_2dh_outer_l(nzb:nzt+1,0:statistic_regions), &
204	ngp_2dh_s_inner(nzb:nzt+1,0:statistic_regions), &
205	ngp_2dh_s_inner_l(nzb:nzt+1,0:statistic_regions), &
206	rmask(nysg:nyng,nxlg:nxrg,0:statistic_regions), &
207	sums(nzb:nzt+1,pr_palm+max_pr_user), &
208	sums_l(nzb:nzt+1,pr_palm+max_pr_user,0:threads_per_task-1), &
209	sums_l_l(nzb:nzt+1,0:statistic_regions,0:threads_per_task-1), &
210	sums_up_fraction_l(10,3,0:statistic_regions), &
211	sums_wsts_bc_l(nzb:nzt+1,0:statistic_regions), &
212	ts_value(dots_max,0:statistic_regions) )
213	ALLOCATE( km_damp_x(nxlg:nxrg), km_damp_y(nysg:nyng) )
214
215	ALLOCATE( rif_1(nysg:nyng,nxlg:nxrg), shf_1(nysg:nyng,nxlg:nxrg), &
216	ts(nysg:nyng,nxlg:nxrg), tswst_1(nysg:nyng,nxlg:nxrg), &
217	us(nysg:nyng,nxlg:nxrg), usws_1(nysg:nyng,nxlg:nxrg), &
218	uswst_1(nysg:nyng,nxlg:nxrg), &
219	vsws_1(nysg:nyng,nxlg:nxrg), &
220	vswst_1(nysg:nyng,nxlg:nxrg), z0(nysg:nyng,nxlg:nxrg) )
221
222	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
223	!
224	!-- Leapfrog scheme needs two timelevels of diffusion quantities
225	ALLOCATE( rif_2(nysg:nyng,nxlg:nxrg), &
226	shf_2(nysg:nyng,nxlg:nxrg), &
227	tswst_2(nysg:nyng,nxlg:nxrg), &
228	usws_2(nysg:nyng,nxlg:nxrg), &
229	uswst_2(nysg:nyng,nxlg:nxrg), &
230	vswst_2(nysg:nyng,nxlg:nxrg), &
231	vsws_2(nysg:nyng,nxlg:nxrg) )
232	ENDIF
233
234	ALLOCATE( d(nzb+1:nzta,nys:nyna,nxl:nxra), &
235	e_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
236	e_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
237	e_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
238	kh_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
239	km_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
240	p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
241	pt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
242	pt_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
243	pt_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
244	tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
245	u_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
246	u_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
247	u_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
248	v_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
249	v_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
250	v_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
251	w_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
252	w_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
253	w_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
254	!
255	!-- Following array is required for perturbation pressure within the iterative
256	!-- pressure solvers. For the multistep schemes (Runge-Kutta), array p holds
257	!-- the weighted average of the substeps and cannot be used in the Poisson
258	!-- solver.
259	IF ( psolver == 'sor' ) THEN
260	ALLOCATE( p_loc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
261	ELSEIF ( psolver == 'multigrid' ) THEN
262	!
263	!-- For performance reasons, multigrid is using one ghost layer only
264	ALLOCATE( p_loc(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
265	ENDIF
266
267	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
268	ALLOCATE( kh_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
269	km_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
270	ENDIF
271
272	IF ( humidity .OR. passive_scalar ) THEN
273	!
274	!-- 2D-humidity/scalar arrays
275	ALLOCATE ( qs(nysg:nyng,nxlg:nxrg), &
276	qsws_1(nysg:nyng,nxlg:nxrg), &
277	qswst_1(nysg:nyng,nxlg:nxrg) )
278
279	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
280	ALLOCATE( qsws_2(nysg:nyng,nxlg:nxrg), &
281	qswst_2(nysg:nyng,nxlg:nxrg) )
282	ENDIF
283	!
284	!-- 3D-humidity/scalar arrays
285	ALLOCATE( q_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
286	q_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
287	q_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
288
289	!
290	!-- 3D-arrays needed for humidity only
291	IF ( humidity ) THEN
292	ALLOCATE( vpt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
293
294	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
295	ALLOCATE( vpt_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
296	ENDIF
297
298	IF ( cloud_physics ) THEN
299	!
300	!-- Liquid water content
301	ALLOCATE ( ql_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
302	!
303	!-- Precipitation amount and rate (only needed if output is switched)
304	ALLOCATE( precipitation_amount(nysg:nyng,nxlg:nxrg), &
305	precipitation_rate(nysg:nyng,nxlg:nxrg) )
306	ENDIF
307
308	IF ( cloud_droplets ) THEN
309	!
310	!-- Liquid water content, change in liquid water content,
311	!-- real volume of particles (with weighting), volume of particles
312	ALLOCATE ( ql_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
313	ql_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
314	ql_v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
315	ql_vp(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
316	ENDIF
317
318	ENDIF
319
320	ENDIF
321
322	IF ( ocean ) THEN
323	ALLOCATE( saswsb_1(nysg:nyng,nxlg:nxrg), &
324	saswst_1(nysg:nyng,nxlg:nxrg) )
325	ALLOCATE( prho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
326	rho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
327	sa_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
328	sa_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
329	sa_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
330	prho => prho_1
331	rho => rho_1 ! routines calc_mean_profile and diffusion_e require
332	! density to be apointer
333	IF ( humidity_remote ) THEN
334	ALLOCATE( qswst_remote(nysg:nyng,nxlg:nxrg))
335	qswst_remote = 0.0
336	ENDIF
337	ENDIF
338
339	!
340	!-- 3D-array for storing the dissipation, needed for calculating the sgs
341	!-- particle velocities
342	IF ( use_sgs_for_particles .OR. wang_kernel ) THEN
343	ALLOCATE ( diss(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
344	ELSE
345	ALLOCATE ( diss(2,2,2) ) ! required because diss is used as a
346	! formal parameter
347	ENDIF
348
349	IF ( dt_dosp /= 9999999.9 ) THEN
350	ALLOCATE( spectrum_x( 1:nx/2, 1:10, 1:10 ), &
351	spectrum_y( 1:ny/2, 1:10, 1:10 ) )
352	spectrum_x = 0.0
353	spectrum_y = 0.0
354	ENDIF
355
356	!
357	!-- 3D-arrays for the leaf area density and the canopy drag coefficient
358	IF ( plant_canopy ) THEN
359	ALLOCATE ( lad_s(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
360	lad_u(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
361	lad_v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
362	lad_w(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
363	cdc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
364
365	IF ( passive_scalar ) THEN
366	ALLOCATE ( sls(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
367	sec(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
368	ENDIF
369
370	IF ( cthf /= 0.0 ) THEN
371	ALLOCATE ( lai(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
372	canopy_heat_flux(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
373	ENDIF
374
375	ENDIF
376
377	!
378	!-- 4D-array for storing the Rif-values at vertical walls
379	IF ( topography /= 'flat' ) THEN
380	ALLOCATE( rif_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg,1:4) )
381	rif_wall = 0.0
382	ENDIF
383
384	!
385	!-- Arrays to store velocity data from t-dt and the phase speeds which
386	!-- are needed for radiation boundary conditions
387	IF ( outflow_l ) THEN
388	ALLOCATE( u_m_l(nzb:nzt+1,nysg:nyng,1:2), &
389	v_m_l(nzb:nzt+1,nysg:nyng,0:1), &
390	w_m_l(nzb:nzt+1,nysg:nyng,0:1) )
391	ENDIF
392	IF ( outflow_r ) THEN
393	ALLOCATE( u_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
394	v_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
395	w_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx) )
396	ENDIF
397	IF ( outflow_l .OR. outflow_r ) THEN
398	ALLOCATE( c_u(nzb:nzt+1,nysg:nyng), c_v(nzb:nzt+1,nysg:nyng), &
399	c_w(nzb:nzt+1,nysg:nyng) )
400	ENDIF
401	IF ( outflow_s ) THEN
402	ALLOCATE( u_m_s(nzb:nzt+1,0:1,nxlg:nxrg), &
403	v_m_s(nzb:nzt+1,1:2,nxlg:nxrg), &
404	w_m_s(nzb:nzt+1,0:1,nxlg:nxrg) )
405	ENDIF
406	IF ( outflow_n ) THEN
407	ALLOCATE( u_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
408	v_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
409	w_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg) )
410	ENDIF
411	IF ( outflow_s .OR. outflow_n ) THEN
412	ALLOCATE( c_u(nzb:nzt+1,nxlg:nxrg), c_v(nzb:nzt+1,nxlg:nxrg), &
413	c_w(nzb:nzt+1,nxlg:nxrg) )
414	ENDIF
415
416	!
417	!-- Initial assignment of the pointers
418	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
419
420	rif_m => rif_1; rif => rif_2
421	shf_m => shf_1; shf => shf_2
422	tswst_m => tswst_1; tswst => tswst_2
423	usws_m => usws_1; usws => usws_2
424	uswst_m => uswst_1; uswst => uswst_2
425	vsws_m => vsws_1; vsws => vsws_2
426	vswst_m => vswst_1; vswst => vswst_2
427	e_m => e_1; e => e_2; e_p => e_3; te_m => e_3
428	kh_m => kh_1; kh => kh_2
429	km_m => km_1; km => km_2
430	pt_m => pt_1; pt => pt_2; pt_p => pt_3; tpt_m => pt_3
431	u_m => u_1; u => u_2; u_p => u_3; tu_m => u_3
432	v_m => v_1; v => v_2; v_p => v_3; tv_m => v_3
433	w_m => w_1; w => w_2; w_p => w_3; tw_m => w_3
434
435	IF ( humidity .OR. passive_scalar ) THEN
436	qsws_m => qsws_1; qsws => qsws_2
437	qswst_m => qswst_1; qswst => qswst_2
438	q_m => q_1; q => q_2; q_p => q_3; tq_m => q_3
439	IF ( humidity ) vpt_m => vpt_1; vpt => vpt_2
440	IF ( cloud_physics ) ql => ql_1
441	IF ( cloud_droplets ) THEN
442	ql => ql_1
443	ql_c => ql_2
444	ENDIF
445	ENDIF
446
447	ELSE
448
449	rif => rif_1
450	shf => shf_1
451	tswst => tswst_1
452	usws => usws_1
453	uswst => uswst_1
454	vsws => vsws_1
455	vswst => vswst_1
456	e => e_1; e_p => e_2; te_m => e_3; e_m => e_3
457	kh => kh_1
458	km => km_1
459	pt => pt_1; pt_p => pt_2; tpt_m => pt_3; pt_m => pt_3
460	u => u_1; u_p => u_2; tu_m => u_3; u_m => u_3
461	v => v_1; v_p => v_2; tv_m => v_3; v_m => v_3
462	w => w_1; w_p => w_2; tw_m => w_3; w_m => w_3
463
464	IF ( humidity .OR. passive_scalar ) THEN
465	qsws => qsws_1
466	qswst => qswst_1
467	q => q_1; q_p => q_2; tq_m => q_3; q_m => q_3
468	IF ( humidity ) vpt => vpt_1
469	IF ( cloud_physics ) ql => ql_1
470	IF ( cloud_droplets ) THEN
471	ql => ql_1
472	ql_c => ql_2
473	ENDIF
474	ENDIF
475
476	IF ( ocean ) THEN
477	saswsb => saswsb_1
478	saswst => saswst_1
479	sa => sa_1; sa_p => sa_2; tsa_m => sa_3
480	ENDIF
481
482	ENDIF
483
484	!
485	!-- Allocate arrays containing the RK coefficient for calculation of
486	!-- perturbation pressure and turbulent fluxes. At this point values are
487	!-- set for pressure calculation during initialization (where no timestep
488	!-- is done). Further below the values needed within the timestep scheme
489	!-- will be set.
490	ALLOCATE( weight_substep(1:intermediate_timestep_count_max), &
491	weight_pres(1:intermediate_timestep_count_max) )
492	weight_substep = 1.0
493	weight_pres = 1.0
494	intermediate_timestep_count = 1 ! needed when simulated_time = 0.0
495
496	!
497	!-- Initialize model variables
498	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
499	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
500	!
501	!-- First model run of a possible job queue.
502	!-- Initial profiles of the variables must be computes.
503	IF ( INDEX( initializing_actions, 'set_1d-model_profiles' ) /= 0 ) THEN
504	!
505	!-- Use solutions of the 1D model as initial profiles,
506	!-- start 1D model
507	CALL init_1d_model
508	!
509	!-- Transfer initial profiles to the arrays of the 3D model
510	DO i = nxlg, nxrg
511	DO j = nysg, nyng
512	e(:,j,i) = e1d
513	kh(:,j,i) = kh1d
514	km(:,j,i) = km1d
515	pt(:,j,i) = pt_init
516	u(:,j,i) = u1d
517	v(:,j,i) = v1d
518	ENDDO
519	ENDDO
520
521	IF ( humidity .OR. passive_scalar ) THEN
522	DO i = nxlg, nxrg
523	DO j = nysg, nyng
524	q(:,j,i) = q_init
525	ENDDO
526	ENDDO
527	ENDIF
528
529	IF ( .NOT. constant_diffusion ) THEN
530	DO i = nxlg, nxrg
531	DO j = nysg, nyng
532	e(:,j,i) = e1d
533	ENDDO
534	ENDDO
535	!
536	!-- Store initial profiles for output purposes etc.
537	hom(:,1,25,:) = SPREAD( l1d, 2, statistic_regions+1 )
538
539	IF ( prandtl_layer ) THEN
540	rif = rif1d(nzb+1)
541	ts = 0.0 ! could actually be computed more accurately in the
542	! 1D model. Update when opportunity arises.
543	us = us1d
544	usws = usws1d
545	vsws = vsws1d
546	ELSE
547	ts = 0.0 ! must be set, because used in
548	rif = 0.0 ! flowste
549	us = 0.0
550	usws = 0.0
551	vsws = 0.0
552	ENDIF
553
554	ELSE
555	e = 0.0 ! must be set, because used in
556	rif = 0.0 ! flowste
557	ts = 0.0
558	us = 0.0
559	usws = 0.0
560	vsws = 0.0
561	ENDIF
562	uswst = top_momentumflux_u
563	vswst = top_momentumflux_v
564
565	!
566	!-- In every case qs = 0.0 (see also pt)
567	!-- This could actually be computed more accurately in the 1D model.
568	!-- Update when opportunity arises!
569	IF ( humidity .OR. passive_scalar ) qs = 0.0
570
571	!
572	!-- inside buildings set velocities back to zero
573	IF ( topography /= 'flat' ) THEN
574	DO i = nxl-1, nxr+1
575	DO j = nys-1, nyn+1
576	u(nzb:nzb_u_inner(j,i),j,i) = 0.0
577	v(nzb:nzb_v_inner(j,i),j,i) = 0.0
578	ENDDO
579	ENDDO
580
581	!
582	!-- WARNING: The extra boundary conditions set after running the
583	!-- ------- 1D model impose an error on the divergence one layer
584	!-- below the topography; need to correct later
585	!-- ATTENTION: Provisional correction for Piacsek & Williams
586	!-- --------- advection scheme: keep u and v zero one layer below
587	!-- the topography.
588	!
589	!-- Following was removed, because mirror boundary condition are
590	!-- replaced by dirichlet boundary conditions
591	!
592	! IF ( ibc_uv_b == 0 ) THEN
593	!!
594	!!-- Satisfying the Dirichlet condition with an extra layer below
595	!!-- the surface where the u and v component change their sign.
596	! DO i = nxl-1, nxr+1
597	! DO j = nys-1, nyn+1
598	! IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = -u(1,j,i)
599	! IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = -v(1,j,i)
600	! ENDDO
601	! ENDDO
602	!
603	! ELSE
604	IF ( ibc_uv_b == 1 ) THEN
605	!
606	!-- Neumann condition
607	DO i = nxl-1, nxr+1
608	DO j = nys-1, nyn+1
609	IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = u(1,j,i)
610	IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = v(1,j,i)
611	ENDDO
612	ENDDO
613
614	ENDIF
615
616	ENDIF
617
618	ELSEIF ( INDEX(initializing_actions, 'set_constant_profiles') /= 0 ) &
619	THEN
620	!
621	!-- Use constructed initial profiles (velocity constant with height,
622	!-- temperature profile with constant gradient)
623	DO i = nxlg, nxrg
624	DO j = nysg, nyng
625	pt(:,j,i) = pt_init
626	u(:,j,i) = u_init
627	v(:,j,i) = v_init
628	ENDDO
629	ENDDO
630
631	!
632	!-- Set initial horizontal velocities at the lowest computational grid
633	!-- levels to zero in order to avoid too small time steps caused by the
634	!-- diffusion limit in the initial phase of a run (at k=1, dz/2 occurs
635	!-- in the limiting formula!). The original values are stored to be later
636	!-- used for volume flow control.
637	DO i = nxlg, nxrg
638	DO j = nysg, nyng
639	u(nzb:nzb_u_inner(j,i)+1,j,i) = 0.0
640	v(nzb:nzb_v_inner(j,i)+1,j,i) = 0.0
641	ENDDO
642	ENDDO
643
644	IF ( humidity .OR. passive_scalar ) THEN
645	DO i = nxlg, nxrg
646	DO j = nysg, nyng
647	q(:,j,i) = q_init
648	ENDDO
649	ENDDO
650	ENDIF
651
652	IF ( ocean ) THEN
653	DO i = nxlg, nxrg
654	DO j = nysg, nyng
655	sa(:,j,i) = sa_init
656	ENDDO
657	ENDDO
658	ENDIF
659
660	IF ( constant_diffusion ) THEN
661	km = km_constant
662	kh = km / prandtl_number
663	e = 0.0
664	ELSEIF ( e_init > 0.0 ) THEN
665	DO k = nzb+1, nzt
666	km(k,:,:) = 0.1 * l_grid(k) * SQRT( e_init )
667	ENDDO
668	km(nzb,:,:) = km(nzb+1,:,:)
669	km(nzt+1,:,:) = km(nzt,:,:)
670	kh = km / prandtl_number
671	e = e_init
672	ELSE
673	IF ( .NOT. ocean ) THEN
674	kh = 0.01 ! there must exist an initial diffusion, because
675	km = 0.01 ! otherwise no TKE would be produced by the
676	! production terms, as long as not yet
677	! e = (u/cm)*2 at k=nzb+1
678	ELSE
679	kh = 0.00001
680	km = 0.00001
681	ENDIF
682	e = 0.0
683	ENDIF
684	rif = 0.0
685	ts = 0.0
686	us = 0.0
687	usws = 0.0
688	uswst = top_momentumflux_u
689	vsws = 0.0
690	vswst = top_momentumflux_v
691	IF ( humidity .OR. passive_scalar ) qs = 0.0
692
693	!
694	!-- Compute initial temperature field and other constants used in case
695	!-- of a sloping surface
696	IF ( sloping_surface ) CALL init_slope
697
698	ELSEIF ( INDEX(initializing_actions, 'by_user') /= 0 ) &
699	THEN
700	!
701	!-- Initialization will completely be done by the user
702	CALL user_init_3d_model
703
704	ENDIF
705	!
706	!-- Bottom boundary
707	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
708	u(nzb,:,:) = 0.0
709	v(nzb,:,:) = 0.0
710	ENDIF
711
712	!
713	!-- Apply channel flow boundary condition
714	IF ( TRIM( bc_uv_t ) == 'dirichlet_0' ) THEN
715	u(nzt+1,:,:) = 0.0
716	v(nzt+1,:,:) = 0.0
717	ENDIF
718
719	!
720	!-- Calculate virtual potential temperature
721	IF ( humidity ) vpt = pt * ( 1.0 + 0.61 * q )
722
723	!
724	!-- Store initial profiles for output purposes etc.
725	hom(:,1,5,:) = SPREAD( u(:,nys,nxl), 2, statistic_regions+1 )
726	hom(:,1,6,:) = SPREAD( v(:,nys,nxl), 2, statistic_regions+1 )
727	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2) THEN
728	hom(nzb,1,5,:) = 0.0
729	hom(nzb,1,6,:) = 0.0
730	ENDIF
731	hom(:,1,7,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
732	hom(:,1,23,:) = SPREAD( km(:,nys,nxl), 2, statistic_regions+1 )
733	hom(:,1,24,:) = SPREAD( kh(:,nys,nxl), 2, statistic_regions+1 )
734
735	IF ( ocean ) THEN
736	!
737	!-- Store initial salinity profile
738	hom(:,1,26,:) = SPREAD( sa(:,nys,nxl), 2, statistic_regions+1 )
739	ENDIF
740
741	IF ( humidity ) THEN
742	!
743	!-- Store initial profile of total water content, virtual potential
744	!-- temperature
745	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
746	hom(:,1,29,:) = SPREAD( vpt(:,nys,nxl), 2, statistic_regions+1 )
747	IF ( cloud_physics .OR. cloud_droplets ) THEN
748	!
749	!-- Store initial profile of specific humidity and potential
750	!-- temperature
751	hom(:,1,27,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
752	hom(:,1,28,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
753	ENDIF
754	ENDIF
755
756	IF ( passive_scalar ) THEN
757	!
758	!-- Store initial scalar profile
759	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
760	ENDIF
761
762	!
763	!-- Initialize fluxes at bottom surface
764	IF ( use_surface_fluxes ) THEN
765
766	IF ( constant_heatflux ) THEN
767	!
768	!-- Heat flux is prescribed
769	IF ( random_heatflux ) THEN
770	CALL disturb_heatflux
771	ELSE
772	shf = surface_heatflux
773	!
774	!-- Over topography surface_heatflux is replaced by wall_heatflux(0)
775	IF ( TRIM( topography ) /= 'flat' ) THEN
776	DO i = nxlg, nxrg
777	DO j = nysg, nyng
778	IF ( nzb_s_inner(j,i) /= 0 ) THEN
779	shf(j,i) = wall_heatflux(0)
780	ENDIF
781	ENDDO
782	ENDDO
783	ENDIF
784	ENDIF
785	IF ( ASSOCIATED( shf_m ) ) shf_m = shf
786	ENDIF
787
788	!
789	!-- Determine the near-surface water flux
790	IF ( humidity .OR. passive_scalar ) THEN
791	IF ( constant_waterflux ) THEN
792	qsws = surface_waterflux
793	!
794	!-- Over topography surface_waterflux is replaced by
795	!-- wall_humidityflux(0)
796	IF ( TRIM( topography ) /= 'flat' ) THEN
797	wall_qflux = wall_humidityflux
798	DO i = nxlg, nxrg
799	DO j = nysg, nyng
800	IF ( nzb_s_inner(j,i) /= 0 ) THEN
801	qsws(j,i) = wall_qflux(0)
802	ENDIF
803	ENDDO
804	ENDDO
805	ENDIF
806	IF ( ASSOCIATED( qsws_m ) ) qsws_m = qsws
807	ENDIF
808	ENDIF
809
810	ENDIF
811
812	!
813	!-- Initialize fluxes at top surface
814	!-- Currently, only the heatflux and salinity flux can be prescribed.
815	!-- The latent flux is zero in this case!
816	IF ( use_top_fluxes ) THEN
817
818	IF ( constant_top_heatflux ) THEN
819	!
820	!-- Heat flux is prescribed
821	tswst = top_heatflux
822	IF ( ASSOCIATED( tswst_m ) ) tswst_m = tswst
823
824	IF ( humidity .OR. passive_scalar ) THEN
825	qswst = 0.0
826	IF ( ASSOCIATED( qswst_m ) ) qswst_m = qswst
827	ENDIF
828
829	IF ( ocean ) THEN
830	saswsb = bottom_salinityflux
831	saswst = top_salinityflux
832	ENDIF
833	ENDIF
834
835	!
836	!-- Initialization in case of a coupled model run
837	IF ( coupling_mode == 'ocean_to_atmosphere' ) THEN
838	tswst = 0.0
839	IF ( ASSOCIATED( tswst_m ) ) tswst_m = tswst
840	ENDIF
841
842	ENDIF
843
844	!
845	!-- Initialize Prandtl layer quantities
846	IF ( prandtl_layer ) THEN
847
848	z0 = roughness_length
849
850	IF ( .NOT. constant_heatflux ) THEN
851	!
852	!-- Surface temperature is prescribed. Here the heat flux cannot be
853	!-- simply estimated, because therefore rif, u* and theta* would have
854	!-- to be computed by iteration. This is why the heat flux is assumed
855	!-- to be zero before the first time step. It approaches its correct
856	!-- value in the course of the first few time steps.
857	shf = 0.0
858	IF ( ASSOCIATED( shf_m ) ) shf_m = 0.0
859	ENDIF
860
861	IF ( humidity .OR. passive_scalar ) THEN
862	IF ( .NOT. constant_waterflux ) THEN
863	qsws = 0.0
864	IF ( ASSOCIATED( qsws_m ) ) qsws_m = 0.0
865	ENDIF
866	ENDIF
867
868	ENDIF
869
870
871	!
872	!-- For the moment, vertical velocity is zero
873	w = 0.0
874
875	!
876	!-- Initialize array sums (must be defined in first call of pres)
877	sums = 0.0
878
879	!
880	!-- In case of iterative solvers, p must get an initial value
881	IF ( psolver == 'multigrid' .OR. psolver == 'sor' ) p = 0.0
882
883	!
884	!-- Treating cloud physics, liquid water content and precipitation amount
885	!-- are zero at beginning of the simulation
886	IF ( cloud_physics ) THEN
887	ql = 0.0
888	IF ( precipitation ) precipitation_amount = 0.0
889	ENDIF
890	!
891	!-- Impose vortex with vertical axis on the initial velocity profile
892	IF ( INDEX( initializing_actions, 'initialize_vortex' ) /= 0 ) THEN
893	CALL init_rankine
894	ENDIF
895
896	!
897	!-- Impose temperature anomaly (advection test only)
898	IF ( INDEX( initializing_actions, 'initialize_ptanom' ) /= 0 ) THEN
899	CALL init_pt_anomaly
900	ENDIF
901
902	!
903	!-- If required, change the surface temperature at the start of the 3D run
904	IF ( pt_surface_initial_change /= 0.0 ) THEN
905	pt(nzb,:,:) = pt(nzb,:,:) + pt_surface_initial_change
906	ENDIF
907
908	!
909	!-- If required, change the surface humidity/scalar at the start of the 3D
910	!-- run
911	IF ( ( humidity .OR. passive_scalar ) .AND. &
912	q_surface_initial_change /= 0.0 ) THEN
913	q(nzb,:,:) = q(nzb,:,:) + q_surface_initial_change
914	ENDIF
915
916	!
917	!-- Initialize the random number generator (from numerical recipes)
918	CALL random_function_ini
919
920	!
921	!-- Initialize old and new time levels.
922	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
923	e_m = e; pt_m = pt; u_m = u; v_m = v; w_m = w; kh_m = kh; km_m = km
924	ELSE
925	te_m = 0.0; tpt_m = 0.0; tu_m = 0.0; tv_m = 0.0; tw_m = 0.0
926	ENDIF
927	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
928
929	IF ( humidity .OR. passive_scalar ) THEN
930	IF ( ASSOCIATED( q_m ) ) q_m = q
931	IF ( timestep_scheme(1:5) == 'runge' ) tq_m = 0.0
932	q_p = q
933	IF ( humidity .AND. ASSOCIATED( vpt_m ) ) vpt_m = vpt
934	ENDIF
935
936	IF ( ocean ) THEN
937	tsa_m = 0.0
938	sa_p = sa
939	ENDIF
940
941
942	ELSEIF ( TRIM( initializing_actions ) == 'read_restart_data' .OR. &
943	TRIM( initializing_actions ) == 'cyclic_fill' ) &
944	THEN
945	!
946	!-- When reading data for cyclic fill of 3D prerun data files, read
947	!-- some of the global variables from the restart file which are required
948	!-- for initializing the inflow
949	IF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
950
951	DO i = 0, io_blocks-1
952	IF ( i == io_group ) THEN
953	CALL read_parts_of_var_list
954	CALL close_file( 13 )
955	ENDIF
956	#if defined( __parallel )
957	CALL MPI_BARRIER( comm2d, ierr )
958	#endif
959	ENDDO
960
961	ENDIF
962
963	!
964	!-- Read binary data from restart file
965	DO i = 0, io_blocks-1
966	IF ( i == io_group ) THEN
967	CALL read_3d_binary
968	ENDIF
969	#if defined( __parallel )
970	CALL MPI_BARRIER( comm2d, ierr )
971	#endif
972	ENDDO
973
974	!
975	!-- Initialization of the turbulence recycling method
976	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. &
977	turbulent_inflow ) THEN
978	!
979	!-- First store the profiles to be used at the inflow.
980	!-- These profiles are the (temporally) and horizontally averaged vertical
981	!-- profiles from the prerun. Alternatively, prescribed profiles
982	!-- for u,v-components can be used.
983	ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) )
984
985	IF ( use_prescribed_profile_data ) THEN
986	mean_inflow_profiles(:,1) = u_init ! u
987	mean_inflow_profiles(:,2) = v_init ! v
988	ELSE
989	mean_inflow_profiles(:,1) = hom_sum(:,1,0) ! u
990	mean_inflow_profiles(:,2) = hom_sum(:,2,0) ! v
991	ENDIF
992	mean_inflow_profiles(:,4) = hom_sum(:,4,0) ! pt
993	mean_inflow_profiles(:,5) = hom_sum(:,8,0) ! e
994
995	!
996	!-- If necessary, adjust the horizontal flow field to the prescribed
997	!-- profiles
998	IF ( use_prescribed_profile_data ) THEN
999	DO i = nxlg, nxrg
1000	DO j = nysg, nyng
1001	DO k = nzb, nzt+1
1002	u(k,j,i) = u(k,j,i) - hom_sum(k,1,0) + u_init(k)
1003	v(k,j,i) = v(k,j,i) - hom_sum(k,2,0) + v_init(k)
1004	ENDDO
1005	ENDDO
1006	ENDDO
1007	ENDIF
1008
1009	!
1010	!-- Use these mean profiles at the inflow (provided that Dirichlet
1011	!-- conditions are used)
1012	IF ( inflow_l ) THEN
1013	DO j = nysg, nyng
1014	DO k = nzb, nzt+1
1015	u(k,j,nxlg:-1) = mean_inflow_profiles(k,1)
1016	v(k,j,nxlg:-1) = mean_inflow_profiles(k,2)
1017	w(k,j,nxlg:-1) = 0.0
1018	pt(k,j,nxlg:-1) = mean_inflow_profiles(k,4)
1019	e(k,j,nxlg:-1) = mean_inflow_profiles(k,5)
1020	ENDDO
1021	ENDDO
1022	ENDIF
1023
1024	!
1025	!-- Calculate the damping factors to be used at the inflow. For a
1026	!-- turbulent inflow the turbulent fluctuations have to be limited
1027	!-- vertically because otherwise the turbulent inflow layer will grow
1028	!-- in time.
1029	IF ( inflow_damping_height == 9999999.9 ) THEN
1030	!
1031	!-- Default: use the inversion height calculated by the prerun; if
1032	!-- this is zero, inflow_damping_height must be explicitly
1033	!-- specified.
1034	IF ( hom_sum(nzb+6,pr_palm,0) /= 0.0 ) THEN
1035	inflow_damping_height = hom_sum(nzb+6,pr_palm,0)
1036	ELSE
1037	WRITE( message_string, * ) 'inflow_damping_height must be ',&
1038	'explicitly specified because&the inversion height ', &
1039	'calculated by the prerun is zero.'
1040	CALL message( 'init_3d_model', 'PA0318', 1, 2, 0, 6, 0 )
1041	ENDIF
1042
1043	ENDIF
1044
1045	IF ( inflow_damping_width == 9999999.9 ) THEN
1046	!
1047	!-- Default for the transition range: one tenth of the undamped
1048	!-- layer
1049	inflow_damping_width = 0.1 * inflow_damping_height
1050
1051	ENDIF
1052
1053	ALLOCATE( inflow_damping_factor(nzb:nzt+1) )
1054
1055	DO k = nzb, nzt+1
1056
1057	IF ( zu(k) <= inflow_damping_height ) THEN
1058	inflow_damping_factor(k) = 1.0
1059	ELSEIF ( zu(k) <= inflow_damping_height + &
1060	inflow_damping_width ) THEN
1061	inflow_damping_factor(k) = 1.0 - &
1062	( zu(k) - inflow_damping_height ) / &
1063	inflow_damping_width
1064	ELSE
1065	inflow_damping_factor(k) = 0.0
1066	ENDIF
1067
1068	ENDDO
1069
1070	ENDIF
1071
1072	!
1073	!-- Inside buildings set velocities and TKE back to zero
1074	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. &
1075	topography /= 'flat' ) THEN
1076	!
1077	!-- Inside buildings set velocities and TKE back to zero.
1078	!-- Other scalars (pt, q, s, km, kh, p, sa, ...) are ignored at present,
1079	!-- maybe revise later.
1080	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1081	DO i = nxlg, nxrg
1082	DO j = nysg, nyng
1083	u (nzb:nzb_u_inner(j,i),j,i) = 0.0
1084	v (nzb:nzb_v_inner(j,i),j,i) = 0.0
1085	w (nzb:nzb_w_inner(j,i),j,i) = 0.0
1086	e (nzb:nzb_w_inner(j,i),j,i) = 0.0
1087	u_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1088	v_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1089	w_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1090	e_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1091	tu_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1092	tv_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1093	tw_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1094	te_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1095	tpt_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1096	ENDDO
1097	ENDDO
1098	ELSE
1099	DO i = nxlg, nxrg
1100	DO j = nysg, nyng
1101	u (nzb:nzb_u_inner(j,i),j,i) = 0.0
1102	v (nzb:nzb_v_inner(j,i),j,i) = 0.0
1103	w (nzb:nzb_w_inner(j,i),j,i) = 0.0
1104	e (nzb:nzb_w_inner(j,i),j,i) = 0.0
1105	u_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1106	v_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1107	w_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1108	e_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1109	u_p(nzb:nzb_u_inner(j,i),j,i) = 0.0
1110	v_p(nzb:nzb_v_inner(j,i),j,i) = 0.0
1111	w_p(nzb:nzb_w_inner(j,i),j,i) = 0.0
1112	e_p(nzb:nzb_w_inner(j,i),j,i) = 0.0
1113	ENDDO
1114	ENDDO
1115	ENDIF
1116
1117	ENDIF
1118
1119	!
1120	!-- Calculate initial temperature field and other constants used in case
1121	!-- of a sloping surface
1122	IF ( sloping_surface ) CALL init_slope
1123
1124	!
1125	!-- Initialize new time levels (only done in order to set boundary values
1126	!-- including ghost points)
1127	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
1128	IF ( humidity .OR. passive_scalar ) q_p = q
1129	IF ( ocean ) sa_p = sa
1130
1131	!
1132	!-- Allthough tendency arrays are set in prognostic_equations, they have
1133	!-- have to be predefined here because they are used (but multiplied with 0)
1134	!-- there before they are set.
1135	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1136	te_m = 0.0; tpt_m = 0.0; tu_m = 0.0; tv_m = 0.0; tw_m = 0.0
1137	IF ( humidity .OR. passive_scalar ) tq_m = 0.0
1138	IF ( ocean ) tsa_m = 0.0
1139	ENDIF
1140
1141	ELSE
1142	!
1143	!-- Actually this part of the programm should not be reached
1144	message_string = 'unknown initializing problem'
1145	CALL message( 'init_3d_model', 'PA0193', 1, 2, 0, 6, 0 )
1146	ENDIF
1147
1148
1149	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1150	!
1151	!-- Initialize old timelevels needed for radiation boundary conditions
1152	IF ( outflow_l ) THEN
1153	u_m_l(:,:,:) = u(:,:,1:2)
1154	v_m_l(:,:,:) = v(:,:,0:1)
1155	w_m_l(:,:,:) = w(:,:,0:1)
1156	ENDIF
1157	IF ( outflow_r ) THEN
1158	u_m_r(:,:,:) = u(:,:,nx-1:nx)
1159	v_m_r(:,:,:) = v(:,:,nx-1:nx)
1160	w_m_r(:,:,:) = w(:,:,nx-1:nx)
1161	ENDIF
1162	IF ( outflow_s ) THEN
1163	u_m_s(:,:,:) = u(:,0:1,:)
1164	v_m_s(:,:,:) = v(:,1:2,:)
1165	w_m_s(:,:,:) = w(:,0:1,:)
1166	ENDIF
1167	IF ( outflow_n ) THEN
1168	u_m_n(:,:,:) = u(:,ny-1:ny,:)
1169	v_m_n(:,:,:) = v(:,ny-1:ny,:)
1170	w_m_n(:,:,:) = w(:,ny-1:ny,:)
1171	ENDIF
1172
1173	ENDIF
1174
1175	!
1176	!-- Calculate the initial volume flow at the right and north boundary
1177	IF ( conserve_volume_flow ) THEN
1178
1179	IF ( use_prescribed_profile_data ) THEN
1180
1181	volume_flow_initial_l = 0.0
1182	volume_flow_area_l = 0.0
1183
1184	IF ( nxr == nx ) THEN
1185	DO j = nys, nyn
1186	DO k = nzb_2d(j,nx)+1, nzt
1187	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1188	u_init(k) * dzw(k)
1189	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1190	ENDDO
1191	ENDDO
1192	ENDIF
1193
1194	IF ( nyn == ny ) THEN
1195	DO i = nxl, nxr
1196	DO k = nzb_2d(ny,i)+1, nzt
1197	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1198	v_init(k) * dzw(k)
1199	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1200	ENDDO
1201	ENDDO
1202	ENDIF
1203
1204	#if defined( __parallel )
1205	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1206	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1207	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1208	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1209
1210	#else
1211	volume_flow_initial = volume_flow_initial_l
1212	volume_flow_area = volume_flow_area_l
1213	#endif
1214
1215	ELSEIF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
1216
1217	volume_flow_initial_l = 0.0
1218	volume_flow_area_l = 0.0
1219
1220	IF ( nxr == nx ) THEN
1221	DO j = nys, nyn
1222	DO k = nzb_2d(j,nx)+1, nzt
1223	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1224	hom_sum(k,1,0) * dzw(k)
1225	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1226	ENDDO
1227	ENDDO
1228	ENDIF
1229
1230	IF ( nyn == ny ) THEN
1231	DO i = nxl, nxr
1232	DO k = nzb_2d(ny,i)+1, nzt
1233	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1234	hom_sum(k,2,0) * dzw(k)
1235	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1236	ENDDO
1237	ENDDO
1238	ENDIF
1239
1240	#if defined( __parallel )
1241	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1242	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1243	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1244	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1245
1246	#else
1247	volume_flow_initial = volume_flow_initial_l
1248	volume_flow_area = volume_flow_area_l
1249	#endif
1250
1251	ELSEIF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1252
1253	volume_flow_initial_l = 0.0
1254	volume_flow_area_l = 0.0
1255
1256	IF ( nxr == nx ) THEN
1257	DO j = nys, nyn
1258	DO k = nzb_2d(j,nx)+1, nzt
1259	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1260	u(k,j,nx) * dzw(k)
1261	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1262	ENDDO
1263	ENDDO
1264	ENDIF
1265
1266	IF ( nyn == ny ) THEN
1267	DO i = nxl, nxr
1268	DO k = nzb_2d(ny,i)+1, nzt
1269	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1270	v(k,ny,i) * dzw(k)
1271	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1272	ENDDO
1273	ENDDO
1274	ENDIF
1275
1276	#if defined( __parallel )
1277	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1278	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1279	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1280	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1281
1282	#else
1283	volume_flow_initial = volume_flow_initial_l
1284	volume_flow_area = volume_flow_area_l
1285	#endif
1286
1287	ENDIF
1288
1289	!
1290	!-- In case of 'bulk_velocity' mode, volume_flow_initial is calculated
1291	!-- from u\|v_bulk instead
1292	IF ( TRIM( conserve_volume_flow_mode ) == 'bulk_velocity' ) THEN
1293	volume_flow_initial(1) = u_bulk * volume_flow_area(1)
1294	volume_flow_initial(2) = v_bulk * volume_flow_area(2)
1295	ENDIF
1296
1297	ENDIF
1298
1299	!
1300	!-- Initialize quantities for special advections schemes
1301	CALL init_advec
1302
1303	!
1304	!-- Impose random perturbation on the horizontal velocity field and then
1305	!-- remove the divergences from the velocity field at the initial stage
1306	IF ( create_disturbances .AND. &
1307	TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
1308	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
1309
1310	CALL disturb_field( nzb_u_inner, tend, u )
1311	CALL disturb_field( nzb_v_inner, tend, v )
1312	n_sor = nsor_ini
1313	CALL pres
1314	n_sor = nsor
1315	ENDIF
1316
1317	!
1318	!-- Initialization of the leaf area density
1319	IF ( plant_canopy ) THEN
1320
1321	SELECT CASE ( TRIM( canopy_mode ) )
1322
1323	CASE( 'block' )
1324
1325	DO i = nxlg, nxrg
1326	DO j = nysg, nyng
1327	lad_s(:,j,i) = lad(:)
1328	cdc(:,j,i) = drag_coefficient
1329	IF ( passive_scalar ) THEN
1330	sls(:,j,i) = leaf_surface_concentration
1331	sec(:,j,i) = scalar_exchange_coefficient
1332	ENDIF
1333	ENDDO
1334	ENDDO
1335
1336	CASE DEFAULT
1337
1338	!
1339	!-- The DEFAULT case is reached either if the parameter
1340	!-- canopy mode contains a wrong character string or if the
1341	!-- user has coded a special case in the user interface.
1342	!-- There, the subroutine user_init_plant_canopy checks
1343	!-- which of these two conditions applies.
1344	CALL user_init_plant_canopy
1345
1346	END SELECT
1347
1348	CALL exchange_horiz( lad_s, nbgp )
1349	CALL exchange_horiz( cdc, nbgp )
1350
1351	IF ( passive_scalar ) THEN
1352	CALL exchange_horiz( sls, nbgp )
1353	CALL exchange_horiz( sec, nbgp )
1354	ENDIF
1355
1356	!
1357	!-- Sharp boundaries of the plant canopy in horizontal directions
1358	!-- In vertical direction the interpolation is retained, as the leaf
1359	!-- area density is initialised by prescribing a vertical profile
1360	!-- consisting of piecewise linear segments. The upper boundary
1361	!-- of the plant canopy is now defined by lad_w(pch_index,:,:) = 0.0.
1362
1363	DO i = nxl, nxr
1364	DO j = nys, nyn
1365	DO k = nzb, nzt+1
1366	IF ( lad_s(k,j,i) > 0.0 ) THEN
1367	lad_u(k,j,i) = lad_s(k,j,i)
1368	lad_u(k,j,i+1) = lad_s(k,j,i)
1369	lad_v(k,j,i) = lad_s(k,j,i)
1370	lad_v(k,j+1,i) = lad_s(k,j,i)
1371	ENDIF
1372	ENDDO
1373	DO k = nzb, nzt
1374	lad_w(k,j,i) = 0.5 * ( lad_s(k+1,j,i) + lad_s(k,j,i) )
1375	ENDDO
1376	ENDDO
1377	ENDDO
1378
1379	lad_w(pch_index,:,:) = 0.0
1380	lad_w(nzt+1,:,:) = lad_w(nzt,:,:)
1381
1382	CALL exchange_horiz( lad_u, nbgp )
1383	CALL exchange_horiz( lad_v, nbgp )
1384	CALL exchange_horiz( lad_w, nbgp )
1385
1386	!
1387	!-- Initialisation of the canopy heat source distribution
1388	IF ( cthf /= 0.0 ) THEN
1389	!
1390	!-- Piecewise evaluation of the leaf area index by
1391	!-- integration of the leaf area density
1392	lai(:,:,:) = 0.0
1393	DO i = nxlg, nxrg
1394	DO j = nysg, nyng
1395	DO k = pch_index-1, 0, -1
1396	lai(k,j,i) = lai(k+1,j,i) + &
1397	( 0.5 * ( lad_w(k+1,j,i) + &
1398	lad_s(k+1,j,i) ) * &
1399	( zw(k+1) - zu(k+1) ) ) + &
1400	( 0.5 * ( lad_w(k,j,i) + &
1401	lad_s(k+1,j,i) ) * &
1402	( zu(k+1) - zw(k) ) )
1403	ENDDO
1404	ENDDO
1405	ENDDO
1406
1407	!
1408	!-- Evaluation of the upward kinematic vertical heat flux within the
1409	!-- canopy
1410	DO i = nxlg, nxrg
1411	DO j = nysg, nyng
1412	DO k = 0, pch_index
1413	canopy_heat_flux(k,j,i) = cthf * &
1414	exp( -0.6 * lai(k,j,i) )
1415	ENDDO
1416	ENDDO
1417	ENDDO
1418
1419	!
1420	!-- The near surface heat flux is derived from the heat flux
1421	!-- distribution within the canopy
1422	shf(:,:) = canopy_heat_flux(0,:,:)
1423
1424	IF ( ASSOCIATED( shf_m ) ) shf_m = shf
1425
1426	ENDIF
1427
1428	ENDIF
1429
1430	!
1431	!-- If required, initialize dvrp-software
1432	IF ( dt_dvrp /= 9999999.9 ) CALL init_dvrp
1433
1434	IF ( ocean ) THEN
1435	!
1436	!-- Initialize quantities needed for the ocean model
1437	CALL init_ocean
1438
1439	ELSE
1440	!
1441	!-- Initialize quantities for handling cloud physics
1442	!-- This routine must be called before lpm_init, because
1443	!-- otherwise, array pt_d_t, needed in data_output_dvrp (called by
1444	!-- lpm_init) is not defined.
1445	CALL init_cloud_physics
1446	ENDIF
1447
1448	!
1449	!-- If required, initialize particles
1450	IF ( particle_advection ) CALL lpm_init
1451
1452	!
1453	!-- Initialize the ws-scheme.
1454	IF ( ws_scheme_sca .OR. ws_scheme_mom ) CALL ws_init
1455
1456	!
1457	!-- Setting weighting factors for calculation of perturbation pressure
1458	!-- and turbulent quantities from the RK substeps
1459	IF ( TRIM(timestep_scheme) == 'runge-kutta-3' ) THEN ! for RK3-method
1460
1461	weight_substep(1) = 1./6.
1462	weight_substep(2) = 3./10.
1463	weight_substep(3) = 8./15.
1464
1465	weight_pres(1) = 1./3.
1466	weight_pres(2) = 5./12.
1467	weight_pres(3) = 1./4.
1468
1469	ELSEIF ( TRIM(timestep_scheme) == 'runge-kutta-2' ) THEN ! for RK2-method
1470
1471	weight_substep(1) = 1./2.
1472	weight_substep(2) = 1./2.
1473
1474	weight_pres(1) = 1./2.
1475	weight_pres(2) = 1./2.
1476
1477	ELSE ! for Euler- and leapfrog-method
1478
1479	weight_substep(1) = 1.0
1480	weight_pres(1) = 1.0
1481
1482	ENDIF
1483
1484	!
1485	!-- Initialize Rayleigh damping factors
1486	rdf = 0.0
1487	rdf_sc = 0.0
1488	IF ( rayleigh_damping_factor /= 0.0 ) THEN
1489	IF ( .NOT. ocean ) THEN
1490	DO k = nzb+1, nzt
1491	IF ( zu(k) >= rayleigh_damping_height ) THEN
1492	rdf(k) = rayleigh_damping_factor * &
1493	( SIN( pi * 0.5 * ( zu(k) - rayleigh_damping_height ) &
1494	/ ( zu(nzt) - rayleigh_damping_height ) )&
1495	)**2
1496	ENDIF
1497	ENDDO
1498	ELSE
1499	DO k = nzt, nzb+1, -1
1500	IF ( zu(k) <= rayleigh_damping_height ) THEN
1501	rdf(k) = rayleigh_damping_factor * &
1502	( SIN( pi * 0.5 * ( rayleigh_damping_height - zu(k) ) &
1503	/ ( rayleigh_damping_height - zu(nzb+1)))&
1504	)**2
1505	ENDIF
1506	ENDDO
1507	ENDIF
1508	ENDIF
1509	IF ( scalar_rayleigh_damping ) rdf_sc = rdf
1510
1511	!
1512	!-- Initialize the starting level and the vertical smoothing factor used for
1513	!-- the external pressure gradient
1514	dp_smooth_factor = 1.0
1515	IF ( dp_external ) THEN
1516	!
1517	!-- Set the starting level dp_level_ind_b only if it has not been set before
1518	!-- (e.g. in init_grid).
1519	IF ( dp_level_ind_b == 0 ) THEN
1520	ind_array = MINLOC( ABS( dp_level_b - zu ) )
1521	dp_level_ind_b = ind_array(1) - 1 + nzb
1522	! MINLOC uses lower array bound 1
1523	ENDIF
1524	IF ( dp_smooth ) THEN
1525	dp_smooth_factor(:dp_level_ind_b) = 0.0
1526	DO k = dp_level_ind_b+1, nzt
1527	dp_smooth_factor(k) = 0.5 * ( 1.0 + SIN( pi * &
1528	( REAL( k - dp_level_ind_b ) / &
1529	REAL( nzt - dp_level_ind_b ) - 0.5 ) ) )
1530	ENDDO
1531	ENDIF
1532	ENDIF
1533
1534	!
1535	!-- Initialize diffusivities used within the outflow damping layer in case of
1536	!-- non-cyclic lateral boundaries. A linear increase is assumed over the first
1537	!-- half of the width of the damping layer
1538	IF ( bc_lr_dirrad ) THEN
1539
1540	DO i = nxlg, nxrg
1541	IF ( i >= nx - outflow_damping_width ) THEN
1542	km_damp_x(i) = km_damp_max * MIN( 1.0, &
1543	( i - ( nx - outflow_damping_width ) ) / &
1544	REAL( outflow_damping_width/2 ) &
1545	)
1546	ELSE
1547	km_damp_x(i) = 0.0
1548	ENDIF
1549	ENDDO
1550
1551	ELSEIF ( bc_lr_raddir ) THEN
1552
1553	DO i = nxlg, nxrg
1554	IF ( i <= outflow_damping_width ) THEN
1555	km_damp_x(i) = km_damp_max * MIN( 1.0, &
1556	( outflow_damping_width - i ) / &
1557	REAL( outflow_damping_width/2 ) &
1558	)
1559	ELSE
1560	km_damp_x(i) = 0.0
1561	ENDIF
1562	ENDDO
1563
1564	ENDIF
1565
1566	IF ( bc_ns_dirrad ) THEN
1567
1568	DO j = nysg, nyng
1569	IF ( j >= ny - outflow_damping_width ) THEN
1570	km_damp_y(j) = km_damp_max * MIN( 1.0, &
1571	( j - ( ny - outflow_damping_width ) ) / &
1572	REAL( outflow_damping_width/2 ) &
1573	)
1574	ELSE
1575	km_damp_y(j) = 0.0
1576	ENDIF
1577	ENDDO
1578
1579	ELSEIF ( bc_ns_raddir ) THEN
1580
1581	DO j = nysg, nyng
1582	IF ( j <= outflow_damping_width ) THEN
1583	km_damp_y(j) = km_damp_max * MIN( 1.0, &
1584	( outflow_damping_width - j ) / &
1585	REAL( outflow_damping_width/2 ) &
1586	)
1587	ELSE
1588	km_damp_y(j) = 0.0
1589	ENDIF
1590	ENDDO
1591
1592	ENDIF
1593
1594	!
1595	!-- Initialize local summation arrays for routine flow_statistics.
1596	!-- This is necessary because they may not yet have been initialized when they
1597	!-- are called from flow_statistics (or - depending on the chosen model run -
1598	!-- are never initialized)
1599	sums_divnew_l = 0.0
1600	sums_divold_l = 0.0
1601	sums_l_l = 0.0
1602	sums_up_fraction_l = 0.0
1603	sums_wsts_bc_l = 0.0
1604
1605	!
1606	!-- Pre-set masks for regional statistics. Default is the total model domain.
1607	rmask = 1.0
1608
1609	!
1610	!-- User-defined initializing actions. Check afterwards, if maximum number
1611	!-- of allowed timeseries is exceeded
1612	CALL user_init
1613
1614	IF ( dots_num > dots_max ) THEN
1615	WRITE( message_string, * ) 'number of time series quantities exceeds', &
1616	' its maximum of dots_max = ', dots_max, &
1617	' &Please increase dots_max in modules.f90.'
1618	CALL message( 'init_3d_model', 'PA0194', 1, 2, 0, 6, 0 )
1619	ENDIF
1620
1621	!
1622	!-- Input binary data file is not needed anymore. This line must be placed
1623	!-- after call of user_init!
1624	CALL close_file( 13 )
1625
1626	!
1627	!-- Compute total sum of active mask grid points
1628	!-- ngp_2dh: number of grid points of a horizontal cross section through the
1629	!-- total domain
1630	!-- ngp_3d: number of grid points of the total domain
1631	ngp_2dh_outer_l = 0
1632	ngp_2dh_outer = 0
1633	ngp_2dh_s_inner_l = 0
1634	ngp_2dh_s_inner = 0
1635	ngp_2dh_l = 0
1636	ngp_2dh = 0
1637	ngp_3d_inner_l = 0.0
1638	ngp_3d_inner = 0
1639	ngp_3d = 0
1640	ngp_sums = ( nz + 2 ) * ( pr_palm + max_pr_user )
1641
1642	DO sr = 0, statistic_regions
1643	DO i = nxl, nxr
1644	DO j = nys, nyn
1645	IF ( rmask(j,i,sr) == 1.0 ) THEN
1646	!
1647	!-- All xy-grid points
1648	ngp_2dh_l(sr) = ngp_2dh_l(sr) + 1
1649	!
1650	!-- xy-grid points above topography
1651	DO k = nzb_s_outer(j,i), nz + 1
1652	ngp_2dh_outer_l(k,sr) = ngp_2dh_outer_l(k,sr) + 1
1653	ENDDO
1654	DO k = nzb_s_inner(j,i), nz + 1
1655	ngp_2dh_s_inner_l(k,sr) = ngp_2dh_s_inner_l(k,sr) + 1
1656	ENDDO
1657	!
1658	!-- All grid points of the total domain above topography
1659	ngp_3d_inner_l(sr) = ngp_3d_inner_l(sr) + &
1660	( nz - nzb_s_inner(j,i) + 2 )
1661	ENDIF
1662	ENDDO
1663	ENDDO
1664	ENDDO
1665
1666	sr = statistic_regions + 1
1667	#if defined( __parallel )
1668	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1669	CALL MPI_ALLREDUCE( ngp_2dh_l(0), ngp_2dh(0), sr, MPI_INTEGER, MPI_SUM, &
1670	comm2d, ierr )
1671	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1672	CALL MPI_ALLREDUCE( ngp_2dh_outer_l(0,0), ngp_2dh_outer(0,0), (nz+2)*sr, &
1673	MPI_INTEGER, MPI_SUM, comm2d, ierr )
1674	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1675	CALL MPI_ALLREDUCE( ngp_2dh_s_inner_l(0,0), ngp_2dh_s_inner(0,0), &
1676	(nz+2)*sr, MPI_INTEGER, MPI_SUM, comm2d, ierr )
1677	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1678	CALL MPI_ALLREDUCE( ngp_3d_inner_l(0), ngp_3d_inner_tmp(0), sr, MPI_REAL, &
1679	MPI_SUM, comm2d, ierr )
1680	ngp_3d_inner = INT( ngp_3d_inner_tmp, KIND = SELECTED_INT_KIND( 18 ) )
1681	#else
1682	ngp_2dh = ngp_2dh_l
1683	ngp_2dh_outer = ngp_2dh_outer_l
1684	ngp_2dh_s_inner = ngp_2dh_s_inner_l
1685	ngp_3d_inner = INT( ngp_3d_inner_l, KIND = SELECTED_INT_KIND( 18 ) )
1686	#endif
1687
1688	ngp_3d = INT ( ngp_2dh, KIND = SELECTED_INT_KIND( 18 ) ) * &
1689	INT ( (nz + 2 ), KIND = SELECTED_INT_KIND( 18 ) )
1690
1691	!
1692	!-- Set a lower limit of 1 in order to avoid zero divisions in flow_statistics,
1693	!-- buoyancy, etc. A zero value will occur for cases where all grid points of
1694	!-- the respective subdomain lie below the surface topography
1695	ngp_2dh_outer = MAX( 1, ngp_2dh_outer(:,:) )
1696	ngp_3d_inner = MAX( INT(1, KIND = SELECTED_INT_KIND( 18 )), &
1697	ngp_3d_inner(:) )
1698	ngp_2dh_s_inner = MAX( 1, ngp_2dh_s_inner(:,:) )
1699
1700	DEALLOCATE( ngp_2dh_l, ngp_2dh_outer_l, ngp_3d_inner_l, ngp_3d_inner_tmp )
1701
1702
1703	END SUBROUTINE init_3d_model

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