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source: palm/trunk/SOURCE/init_3d_model.f90 @ 996

Last change on this file since 996 was 996, checked in by raasch, 12 years ago
parameter use_prior_plot1d_parameters removed; little reformatting
Property svn:keywords set to `Id`
File size: 59.0 KB

Line
1	#if defined( __ibmy_special )
2	@PROCESS NOOPTimize
3	#endif
4	SUBROUTINE init_3d_model
5
6	!------------------------------------------------------------------------------!
7	! Current revisions:
8	! ------------------
9	! little reformatting
10	!
11	! Former revisions:
12	! -----------------
13	! $Id: init_3d_model.f90 996 2012-09-07 10:41:47Z raasch $
14	!
15	! 978 2012-08-09 08:28:32Z fricke
16	! outflow damping layer removed
17	! roughness length for scalar quantites z0h added
18	! damping zone for the potential temperatur in case of non-cyclic lateral
19	! boundaries added
20	! initialization of ptdf_x, ptdf_y
21	! initialization of c_u_m, c_u_m_l, c_v_m, c_v_m_l, c_w_m, c_w_m_l
22	!
23	! 849 2012-03-15 10:35:09Z raasch
24	! init_particles renamed lpm_init
25	!
26	! 825 2012-02-19 03:03:44Z raasch
27	! wang_collision_kernel renamed wang_kernel
28	!
29	! 790 2011-11-29 03:11:20Z raasch
30	! diss is also allocated in case that the Wang kernel is used
31	!
32	! 787 2011-11-28 12:49:05Z heinze $
33	! bugfix: call init_advec in every case - not only for inital runs
34	!
35	! 785 2011-11-28 09:47:19Z raasch
36	! initialization of rdf_sc
37	!
38	! 767 2011-10-14 06:39:12Z raasch
39	! adjustments concerning implementation of prescribed u,v-profiles
40	! bugfix: dirichlet_0 conditions for ug/vg moved to check_parameters
41	!
42	! 759 2011-09-15 13:58:31Z raasch
43	! Splitting of parallel I/O in blocks of PEs
44	! Bugfix: No zero assignments to volume_flow_initial and volume_flow_area in
45	! case of normal restart runs.
46	!
47	! 713 2011-03-30 14:21:21Z suehring
48	! weight_substep and weight_pres are given as fractions.
49	!
50	! 709 2011-03-30 09:31:40Z raasch
51	! formatting adjustments
52	!
53	! 707 2011-03-29 11:39:40Z raasch
54	! p_sub renamed p_loc and allocated depending on the chosen pressure solver,
55	! initial assignments of zero to array p for iterative solvers only,
56	! bc_lr/ns replaced by bc_lr/ns_dirrad/raddir
57	!
58	! 680 2011-02-04 23:16:06Z gryschka
59	! bugfix: volume_flow_control
60	!
61	! 673 2011-01-18 16:19:48Z suehring
62	! weight_substep (moved from advec_ws) and weight_pres added.
63	! Allocate p_sub when using Multigrid or SOR solver.
64	! Call of ws_init moved behind the if requests.
65	!
66	! 667 2010-12-23 12:06:00Z suehring/gryschka
67	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng in loops and
68	! allocation of arrays. Calls of exchange_horiz are modified.
69	! Call ws_init to initialize arrays needed for calculating statisticas and for
70	! optimization when ws-scheme is used.
71	! Initial volume flow is now calculated by using the variable hom_sum.
72	! Therefore the correction of initial volume flow for non-flat topography
73	! removed (removed u_nzb_p1_for_vfc and v_nzb_p1_for_vfc)
74	! Changed surface boundary conditions for u and v in case of ibc_uv_b == 0 from
75	! mirror to Dirichlet boundary conditions (u=v=0), so that k=nzb is
76	! representative for the height z0.
77	! Bugfix: type conversion of '1' to 64bit for the MAX function (ngp_3d_inner)
78	!
79	! 622 2010-12-10 08:08:13Z raasch
80	! optional barriers included in order to speed up collective operations
81	!
82	! 560 2010-09-09 10:06:09Z weinreis
83	! bugfix: correction of calculating ngp_3d for 64 bit
84	!
85	! 485 2010-02-05 10:57:51Z raasch
86	! calculation of ngp_3d + ngp_3d_inner changed because they have now 64 bit
87	!
88	! 407 2009-12-01 15:01:15Z maronga
89	! var_ts is replaced by dots_max
90	! Enabled passive scalar/humidity wall fluxes for non-flat topography
91	!
92	! 388 2009-09-23 09:40:33Z raasch
93	! Initialization of prho added.
94	! bugfix: correction of initial volume flow for non-flat topography
95	! bugfix: zero initialization of arrays within buildings for 'cyclic_fill'
96	! bugfix: avoid that ngp_2dh_s_inner becomes zero
97	! initializing_actions='read_data_for_recycling' renamed to 'cyclic_fill', now
98	! independent of turbulent_inflow
99	! Output of messages replaced by message handling routine.
100	! Set the starting level and the vertical smoothing factor used for
101	! the external pressure gradient
102	! +conserve_volume_flow_mode: 'default', 'initial_profiles', 'inflow_profile'
103	! and 'bulk_velocity'
104	! If the inversion height calculated by the prerun is zero,
105	! inflow_damping_height must be explicitly specified.
106	!
107	! 181 2008-07-30 07:07:47Z raasch
108	! bugfix: zero assignments to tendency arrays in case of restarts,
109	! further extensions and modifications in the initialisation of the plant
110	! canopy model,
111	! allocation of hom_sum moved to parin, initialization of spectrum_x\|y directly
112	! after allocating theses arrays,
113	! read data for recycling added as new initialization option,
114	! dummy allocation for diss
115	!
116	! 138 2007-11-28 10:03:58Z letzel
117	! New counter ngp_2dh_s_inner.
118	! Allow new case bc_uv_t = 'dirichlet_0' for channel flow.
119	! Corrected calculation of initial volume flow for 'set_1d-model_profiles' and
120	! 'set_constant_profiles' in case of buildings in the reference cross-sections.
121	!
122	! 108 2007-08-24 15:10:38Z letzel
123	! Flux initialization in case of coupled runs, +momentum fluxes at top boundary,
124	! +arrays for phase speed c_u, c_v, c_w, indices for u\|v\|w_m_l\|r changed
125	! +qswst_remote in case of atmosphere model with humidity coupled to ocean
126	! Rayleigh damping for ocean, optionally calculate km and kh from initial
127	! TKE e_init
128	!
129	! 97 2007-06-21 08:23:15Z raasch
130	! Initialization of salinity, call of init_ocean
131	!
132	! 87 2007-05-22 15:46:47Z raasch
133	! var_hom and var_sum renamed pr_palm
134	!
135	! 75 2007-03-22 09:54:05Z raasch
136	! Arrays for radiation boundary conditions are allocated (u_m_l, u_m_r, etc.),
137	! bugfix for cases with the outflow damping layer extending over more than one
138	! subdomain, moisture renamed humidity,
139	! new initializing action "by_user" calls user_init_3d_model,
140	! precipitation_amount/rate, ts_value are allocated, +module netcdf_control,
141	! initial velocities at nzb+1 are regarded for volume
142	! flow control in case they have been set zero before (to avoid small timesteps)
143	! -uvmean_outflow, uxrp, vynp eliminated
144	!
145	! 19 2007-02-23 04:53:48Z raasch
146	! +handling of top fluxes
147	!
148	! RCS Log replace by Id keyword, revision history cleaned up
149	!
150	! Revision 1.49 2006/08/22 15:59:07 raasch
151	! No optimization of this file on the ibmy (Yonsei Univ.)
152	!
153	! Revision 1.1 1998/03/09 16:22:22 raasch
154	! Initial revision
155	!
156	!
157	! Description:
158	! ------------
159	! Allocation of arrays and initialization of the 3D model via
160	! a) pre-run the 1D model
161	! or
162	! b) pre-set constant linear profiles
163	! or
164	! c) read values of a previous run
165	!------------------------------------------------------------------------------!
166
167	USE advec_ws
168	USE arrays_3d
169	USE averaging
170	USE cloud_parameters
171	USE constants
172	USE control_parameters
173	USE cpulog
174	USE grid_variables
175	USE indices
176	USE interfaces
177	USE model_1d
178	USE netcdf_control
179	USE particle_attributes
180	USE pegrid
181	USE profil_parameter
182	USE random_function_mod
183	USE statistics
184
185	IMPLICIT NONE
186
187	INTEGER :: i, ind_array(1), j, k, sr
188
189	INTEGER, DIMENSION(:), ALLOCATABLE :: ngp_2dh_l
190
191	INTEGER, DIMENSION(:,:), ALLOCATABLE :: ngp_2dh_outer_l, &
192	ngp_2dh_s_inner_l
193
194	REAL :: a, b
195
196	REAL, DIMENSION(1:2) :: volume_flow_area_l, volume_flow_initial_l
197
198	REAL, DIMENSION(:), ALLOCATABLE :: ngp_3d_inner_l, ngp_3d_inner_tmp
199
200
201	!
202	!-- Allocate arrays
203	ALLOCATE( ngp_2dh(0:statistic_regions), ngp_2dh_l(0:statistic_regions), &
204	ngp_3d(0:statistic_regions), &
205	ngp_3d_inner(0:statistic_regions), &
206	ngp_3d_inner_l(0:statistic_regions), &
207	ngp_3d_inner_tmp(0:statistic_regions), &
208	sums_divnew_l(0:statistic_regions), &
209	sums_divold_l(0:statistic_regions) )
210	ALLOCATE( dp_smooth_factor(nzb:nzt), rdf(nzb+1:nzt), rdf_sc(nzb+1:nzt) )
211	ALLOCATE( ngp_2dh_outer(nzb:nzt+1,0:statistic_regions), &
212	ngp_2dh_outer_l(nzb:nzt+1,0:statistic_regions), &
213	ngp_2dh_s_inner(nzb:nzt+1,0:statistic_regions), &
214	ngp_2dh_s_inner_l(nzb:nzt+1,0:statistic_regions), &
215	rmask(nysg:nyng,nxlg:nxrg,0:statistic_regions), &
216	sums(nzb:nzt+1,pr_palm+max_pr_user), &
217	sums_l(nzb:nzt+1,pr_palm+max_pr_user,0:threads_per_task-1), &
218	sums_l_l(nzb:nzt+1,0:statistic_regions,0:threads_per_task-1), &
219	sums_up_fraction_l(10,3,0:statistic_regions), &
220	sums_wsts_bc_l(nzb:nzt+1,0:statistic_regions), &
221	ts_value(dots_max,0:statistic_regions) )
222	ALLOCATE( ptdf_x(nxlg:nxrg), ptdf_y(nysg:nyng) )
223
224	ALLOCATE( rif_1(nysg:nyng,nxlg:nxrg), shf_1(nysg:nyng,nxlg:nxrg), &
225	ts(nysg:nyng,nxlg:nxrg), tswst_1(nysg:nyng,nxlg:nxrg), &
226	us(nysg:nyng,nxlg:nxrg), usws_1(nysg:nyng,nxlg:nxrg), &
227	uswst_1(nysg:nyng,nxlg:nxrg), &
228	vsws_1(nysg:nyng,nxlg:nxrg), &
229	vswst_1(nysg:nyng,nxlg:nxrg), z0(nysg:nyng,nxlg:nxrg), &
230	z0h(nysg:nyng,nxlg:nxrg) )
231
232	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
233	!
234	!-- Leapfrog scheme needs two timelevels of diffusion quantities
235	ALLOCATE( rif_2(nysg:nyng,nxlg:nxrg), &
236	shf_2(nysg:nyng,nxlg:nxrg), &
237	tswst_2(nysg:nyng,nxlg:nxrg), &
238	usws_2(nysg:nyng,nxlg:nxrg), &
239	uswst_2(nysg:nyng,nxlg:nxrg), &
240	vswst_2(nysg:nyng,nxlg:nxrg), &
241	vsws_2(nysg:nyng,nxlg:nxrg) )
242	ENDIF
243
244	ALLOCATE( d(nzb+1:nzta,nys:nyna,nxl:nxra), &
245	e_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
246	e_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
247	e_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
248	kh_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
249	km_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
250	p(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
251	pt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
252	pt_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
253	pt_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
254	tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
255	u_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
256	u_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
257	u_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
258	v_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
259	v_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
260	v_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
261	w_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
262	w_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
263	w_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
264	!
265	!-- Following array is required for perturbation pressure within the iterative
266	!-- pressure solvers. For the multistep schemes (Runge-Kutta), array p holds
267	!-- the weighted average of the substeps and cannot be used in the Poisson
268	!-- solver.
269	IF ( psolver == 'sor' ) THEN
270	ALLOCATE( p_loc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
271	ELSEIF ( psolver == 'multigrid' ) THEN
272	!
273	!-- For performance reasons, multigrid is using one ghost layer only
274	ALLOCATE( p_loc(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
275	ENDIF
276
277	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
278	ALLOCATE( kh_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
279	km_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
280	ENDIF
281
282	IF ( humidity .OR. passive_scalar ) THEN
283	!
284	!-- 2D-humidity/scalar arrays
285	ALLOCATE ( qs(nysg:nyng,nxlg:nxrg), &
286	qsws_1(nysg:nyng,nxlg:nxrg), &
287	qswst_1(nysg:nyng,nxlg:nxrg) )
288
289	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
290	ALLOCATE( qsws_2(nysg:nyng,nxlg:nxrg), &
291	qswst_2(nysg:nyng,nxlg:nxrg) )
292	ENDIF
293	!
294	!-- 3D-humidity/scalar arrays
295	ALLOCATE( q_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
296	q_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
297	q_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
298
299	!
300	!-- 3D-arrays needed for humidity only
301	IF ( humidity ) THEN
302	ALLOCATE( vpt_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
303
304	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
305	ALLOCATE( vpt_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
306	ENDIF
307
308	IF ( cloud_physics ) THEN
309	!
310	!-- Liquid water content
311	ALLOCATE ( ql_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
312	!
313	!-- Precipitation amount and rate (only needed if output is switched)
314	ALLOCATE( precipitation_amount(nysg:nyng,nxlg:nxrg), &
315	precipitation_rate(nysg:nyng,nxlg:nxrg) )
316	ENDIF
317
318	IF ( cloud_droplets ) THEN
319	!
320	!-- Liquid water content, change in liquid water content,
321	!-- real volume of particles (with weighting), volume of particles
322	ALLOCATE ( ql_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
323	ql_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
324	ql_v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
325	ql_vp(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
326	ENDIF
327
328	ENDIF
329
330	ENDIF
331
332	IF ( ocean ) THEN
333	ALLOCATE( saswsb_1(nysg:nyng,nxlg:nxrg), &
334	saswst_1(nysg:nyng,nxlg:nxrg) )
335	ALLOCATE( prho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
336	rho_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
337	sa_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
338	sa_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
339	sa_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
340	prho => prho_1
341	rho => rho_1 ! routines calc_mean_profile and diffusion_e require
342	! density to be apointer
343	IF ( humidity_remote ) THEN
344	ALLOCATE( qswst_remote(nysg:nyng,nxlg:nxrg))
345	qswst_remote = 0.0
346	ENDIF
347	ENDIF
348
349	!
350	!-- 3D-array for storing the dissipation, needed for calculating the sgs
351	!-- particle velocities
352	IF ( use_sgs_for_particles .OR. wang_kernel ) THEN
353	ALLOCATE ( diss(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
354	ELSE
355	ALLOCATE ( diss(2,2,2) ) ! required because diss is used as a
356	! formal parameter
357	ENDIF
358
359	IF ( dt_dosp /= 9999999.9 ) THEN
360	ALLOCATE( spectrum_x( 1:nx/2, 1:10, 1:10 ), &
361	spectrum_y( 1:ny/2, 1:10, 1:10 ) )
362	spectrum_x = 0.0
363	spectrum_y = 0.0
364	ENDIF
365
366	!
367	!-- 3D-arrays for the leaf area density and the canopy drag coefficient
368	IF ( plant_canopy ) THEN
369	ALLOCATE ( lad_s(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
370	lad_u(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
371	lad_v(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
372	lad_w(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
373	cdc(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
374
375	IF ( passive_scalar ) THEN
376	ALLOCATE ( sls(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
377	sec(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
378	ENDIF
379
380	IF ( cthf /= 0.0 ) THEN
381	ALLOCATE ( lai(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
382	canopy_heat_flux(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
383	ENDIF
384
385	ENDIF
386
387	!
388	!-- 4D-array for storing the Rif-values at vertical walls
389	IF ( topography /= 'flat' ) THEN
390	ALLOCATE( rif_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg,1:4) )
391	rif_wall = 0.0
392	ENDIF
393
394	!
395	!-- Arrays to store velocity data from t-dt and the phase speeds which
396	!-- are needed for radiation boundary conditions
397	IF ( outflow_l ) THEN
398	ALLOCATE( u_m_l(nzb:nzt+1,nysg:nyng,1:2), &
399	v_m_l(nzb:nzt+1,nysg:nyng,0:1), &
400	w_m_l(nzb:nzt+1,nysg:nyng,0:1) )
401	ENDIF
402	IF ( outflow_r ) THEN
403	ALLOCATE( u_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
404	v_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx), &
405	w_m_r(nzb:nzt+1,nysg:nyng,nx-1:nx) )
406	ENDIF
407	IF ( outflow_l .OR. outflow_r ) THEN
408	ALLOCATE( c_u(nzb:nzt+1,nysg:nyng), c_v(nzb:nzt+1,nysg:nyng), &
409	c_w(nzb:nzt+1,nysg:nyng) )
410	ENDIF
411	IF ( outflow_s ) THEN
412	ALLOCATE( u_m_s(nzb:nzt+1,0:1,nxlg:nxrg), &
413	v_m_s(nzb:nzt+1,1:2,nxlg:nxrg), &
414	w_m_s(nzb:nzt+1,0:1,nxlg:nxrg) )
415	ENDIF
416	IF ( outflow_n ) THEN
417	ALLOCATE( u_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
418	v_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg), &
419	w_m_n(nzb:nzt+1,ny-1:ny,nxlg:nxrg) )
420	ENDIF
421	IF ( outflow_s .OR. outflow_n ) THEN
422	ALLOCATE( c_u(nzb:nzt+1,nxlg:nxrg), c_v(nzb:nzt+1,nxlg:nxrg), &
423	c_w(nzb:nzt+1,nxlg:nxrg) )
424	ENDIF
425	IF ( outflow_l .OR. outflow_r .OR. outflow_s .OR. outflow_n ) THEN
426	ALLOCATE( c_u_m_l(nzb:nzt+1), c_v_m_l(nzb:nzt+1), c_w_m_l(nzb:nzt+1) )
427	ALLOCATE( c_u_m(nzb:nzt+1), c_v_m(nzb:nzt+1), c_w_m(nzb:nzt+1) )
428	ENDIF
429
430
431	!
432	!-- Initial assignment of the pointers
433	IF ( timestep_scheme(1:5) /= 'runge' ) THEN
434
435	rif_m => rif_1; rif => rif_2
436	shf_m => shf_1; shf => shf_2
437	tswst_m => tswst_1; tswst => tswst_2
438	usws_m => usws_1; usws => usws_2
439	uswst_m => uswst_1; uswst => uswst_2
440	vsws_m => vsws_1; vsws => vsws_2
441	vswst_m => vswst_1; vswst => vswst_2
442	e_m => e_1; e => e_2; e_p => e_3; te_m => e_3
443	kh_m => kh_1; kh => kh_2
444	km_m => km_1; km => km_2
445	pt_m => pt_1; pt => pt_2; pt_p => pt_3; tpt_m => pt_3
446	u_m => u_1; u => u_2; u_p => u_3; tu_m => u_3
447	v_m => v_1; v => v_2; v_p => v_3; tv_m => v_3
448	w_m => w_1; w => w_2; w_p => w_3; tw_m => w_3
449
450	IF ( humidity .OR. passive_scalar ) THEN
451	qsws_m => qsws_1; qsws => qsws_2
452	qswst_m => qswst_1; qswst => qswst_2
453	q_m => q_1; q => q_2; q_p => q_3; tq_m => q_3
454	IF ( humidity ) vpt_m => vpt_1; vpt => vpt_2
455	IF ( cloud_physics ) ql => ql_1
456	IF ( cloud_droplets ) THEN
457	ql => ql_1
458	ql_c => ql_2
459	ENDIF
460	ENDIF
461
462	ELSE
463
464	rif => rif_1
465	shf => shf_1
466	tswst => tswst_1
467	usws => usws_1
468	uswst => uswst_1
469	vsws => vsws_1
470	vswst => vswst_1
471	e => e_1; e_p => e_2; te_m => e_3; e_m => e_3
472	kh => kh_1
473	km => km_1
474	pt => pt_1; pt_p => pt_2; tpt_m => pt_3; pt_m => pt_3
475	u => u_1; u_p => u_2; tu_m => u_3; u_m => u_3
476	v => v_1; v_p => v_2; tv_m => v_3; v_m => v_3
477	w => w_1; w_p => w_2; tw_m => w_3; w_m => w_3
478
479	IF ( humidity .OR. passive_scalar ) THEN
480	qsws => qsws_1
481	qswst => qswst_1
482	q => q_1; q_p => q_2; tq_m => q_3; q_m => q_3
483	IF ( humidity ) vpt => vpt_1
484	IF ( cloud_physics ) ql => ql_1
485	IF ( cloud_droplets ) THEN
486	ql => ql_1
487	ql_c => ql_2
488	ENDIF
489	ENDIF
490
491	IF ( ocean ) THEN
492	saswsb => saswsb_1
493	saswst => saswst_1
494	sa => sa_1; sa_p => sa_2; tsa_m => sa_3
495	ENDIF
496
497	ENDIF
498
499	!
500	!-- Allocate arrays containing the RK coefficient for calculation of
501	!-- perturbation pressure and turbulent fluxes. At this point values are
502	!-- set for pressure calculation during initialization (where no timestep
503	!-- is done). Further below the values needed within the timestep scheme
504	!-- will be set.
505	ALLOCATE( weight_substep(1:intermediate_timestep_count_max), &
506	weight_pres(1:intermediate_timestep_count_max) )
507	weight_substep = 1.0
508	weight_pres = 1.0
509	intermediate_timestep_count = 1 ! needed when simulated_time = 0.0
510
511	!
512	!-- Initialize model variables
513	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
514	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
515	!
516	!-- First model run of a possible job queue.
517	!-- Initial profiles of the variables must be computes.
518	IF ( INDEX( initializing_actions, 'set_1d-model_profiles' ) /= 0 ) THEN
519	!
520	!-- Use solutions of the 1D model as initial profiles,
521	!-- start 1D model
522	CALL init_1d_model
523	!
524	!-- Transfer initial profiles to the arrays of the 3D model
525	DO i = nxlg, nxrg
526	DO j = nysg, nyng
527	e(:,j,i) = e1d
528	kh(:,j,i) = kh1d
529	km(:,j,i) = km1d
530	pt(:,j,i) = pt_init
531	u(:,j,i) = u1d
532	v(:,j,i) = v1d
533	ENDDO
534	ENDDO
535
536	IF ( humidity .OR. passive_scalar ) THEN
537	DO i = nxlg, nxrg
538	DO j = nysg, nyng
539	q(:,j,i) = q_init
540	ENDDO
541	ENDDO
542	ENDIF
543
544	IF ( .NOT. constant_diffusion ) THEN
545	DO i = nxlg, nxrg
546	DO j = nysg, nyng
547	e(:,j,i) = e1d
548	ENDDO
549	ENDDO
550	!
551	!-- Store initial profiles for output purposes etc.
552	hom(:,1,25,:) = SPREAD( l1d, 2, statistic_regions+1 )
553
554	IF ( prandtl_layer ) THEN
555	rif = rif1d(nzb+1)
556	ts = 0.0 ! could actually be computed more accurately in the
557	! 1D model. Update when opportunity arises.
558	us = us1d
559	usws = usws1d
560	vsws = vsws1d
561	ELSE
562	ts = 0.0 ! must be set, because used in
563	rif = 0.0 ! flowste
564	us = 0.0
565	usws = 0.0
566	vsws = 0.0
567	ENDIF
568
569	ELSE
570	e = 0.0 ! must be set, because used in
571	rif = 0.0 ! flowste
572	ts = 0.0
573	us = 0.0
574	usws = 0.0
575	vsws = 0.0
576	ENDIF
577	uswst = top_momentumflux_u
578	vswst = top_momentumflux_v
579
580	!
581	!-- In every case qs = 0.0 (see also pt)
582	!-- This could actually be computed more accurately in the 1D model.
583	!-- Update when opportunity arises!
584	IF ( humidity .OR. passive_scalar ) qs = 0.0
585
586	!
587	!-- inside buildings set velocities back to zero
588	IF ( topography /= 'flat' ) THEN
589	DO i = nxl-1, nxr+1
590	DO j = nys-1, nyn+1
591	u(nzb:nzb_u_inner(j,i),j,i) = 0.0
592	v(nzb:nzb_v_inner(j,i),j,i) = 0.0
593	ENDDO
594	ENDDO
595
596	!
597	!-- WARNING: The extra boundary conditions set after running the
598	!-- ------- 1D model impose an error on the divergence one layer
599	!-- below the topography; need to correct later
600	!-- ATTENTION: Provisional correction for Piacsek & Williams
601	!-- --------- advection scheme: keep u and v zero one layer below
602	!-- the topography.
603	IF ( ibc_uv_b == 1 ) THEN
604	!
605	!-- Neumann condition
606	DO i = nxl-1, nxr+1
607	DO j = nys-1, nyn+1
608	IF ( nzb_u_inner(j,i) == 0 ) u(0,j,i) = u(1,j,i)
609	IF ( nzb_v_inner(j,i) == 0 ) v(0,j,i) = v(1,j,i)
610	ENDDO
611	ENDDO
612
613	ENDIF
614
615	ENDIF
616
617	ELSEIF ( INDEX(initializing_actions, 'set_constant_profiles') /= 0 ) &
618	THEN
619	!
620	!-- Use constructed initial profiles (velocity constant with height,
621	!-- temperature profile with constant gradient)
622	DO i = nxlg, nxrg
623	DO j = nysg, nyng
624	pt(:,j,i) = pt_init
625	u(:,j,i) = u_init
626	v(:,j,i) = v_init
627	ENDDO
628	ENDDO
629
630	!
631	!-- Set initial horizontal velocities at the lowest computational grid
632	!-- levels to zero in order to avoid too small time steps caused by the
633	!-- diffusion limit in the initial phase of a run (at k=1, dz/2 occurs
634	!-- in the limiting formula!). The original values are stored to be later
635	!-- used for volume flow control.
636	DO i = nxlg, nxrg
637	DO j = nysg, nyng
638	u(nzb:nzb_u_inner(j,i)+1,j,i) = 0.0
639	v(nzb:nzb_v_inner(j,i)+1,j,i) = 0.0
640	ENDDO
641	ENDDO
642
643	IF ( humidity .OR. passive_scalar ) THEN
644	DO i = nxlg, nxrg
645	DO j = nysg, nyng
646	q(:,j,i) = q_init
647	ENDDO
648	ENDDO
649	ENDIF
650
651	IF ( ocean ) THEN
652	DO i = nxlg, nxrg
653	DO j = nysg, nyng
654	sa(:,j,i) = sa_init
655	ENDDO
656	ENDDO
657	ENDIF
658
659	IF ( constant_diffusion ) THEN
660	km = km_constant
661	kh = km / prandtl_number
662	e = 0.0
663	ELSEIF ( e_init > 0.0 ) THEN
664	DO k = nzb+1, nzt
665	km(k,:,:) = 0.1 * l_grid(k) * SQRT( e_init )
666	ENDDO
667	km(nzb,:,:) = km(nzb+1,:,:)
668	km(nzt+1,:,:) = km(nzt,:,:)
669	kh = km / prandtl_number
670	e = e_init
671	ELSE
672	IF ( .NOT. ocean ) THEN
673	kh = 0.01 ! there must exist an initial diffusion, because
674	km = 0.01 ! otherwise no TKE would be produced by the
675	! production terms, as long as not yet
676	! e = (u/cm)*2 at k=nzb+1
677	ELSE
678	kh = 0.00001
679	km = 0.00001
680	ENDIF
681	e = 0.0
682	ENDIF
683	rif = 0.0
684	ts = 0.0
685	us = 0.0
686	usws = 0.0
687	uswst = top_momentumflux_u
688	vsws = 0.0
689	vswst = top_momentumflux_v
690	IF ( humidity .OR. passive_scalar ) qs = 0.0
691
692	!
693	!-- Compute initial temperature field and other constants used in case
694	!-- of a sloping surface
695	IF ( sloping_surface ) CALL init_slope
696
697	ELSEIF ( INDEX(initializing_actions, 'by_user') /= 0 ) &
698	THEN
699	!
700	!-- Initialization will completely be done by the user
701	CALL user_init_3d_model
702
703	ENDIF
704	!
705	!-- Bottom boundary
706	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
707	u(nzb,:,:) = 0.0
708	v(nzb,:,:) = 0.0
709	ENDIF
710
711	!
712	!-- Apply channel flow boundary condition
713	IF ( TRIM( bc_uv_t ) == 'dirichlet_0' ) THEN
714	u(nzt+1,:,:) = 0.0
715	v(nzt+1,:,:) = 0.0
716	ENDIF
717
718	!
719	!-- Calculate virtual potential temperature
720	IF ( humidity ) vpt = pt * ( 1.0 + 0.61 * q )
721
722	!
723	!-- Store initial profiles for output purposes etc.
724	hom(:,1,5,:) = SPREAD( u(:,nys,nxl), 2, statistic_regions+1 )
725	hom(:,1,6,:) = SPREAD( v(:,nys,nxl), 2, statistic_regions+1 )
726	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2) THEN
727	hom(nzb,1,5,:) = 0.0
728	hom(nzb,1,6,:) = 0.0
729	ENDIF
730	hom(:,1,7,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
731	hom(:,1,23,:) = SPREAD( km(:,nys,nxl), 2, statistic_regions+1 )
732	hom(:,1,24,:) = SPREAD( kh(:,nys,nxl), 2, statistic_regions+1 )
733
734	IF ( ocean ) THEN
735	!
736	!-- Store initial salinity profile
737	hom(:,1,26,:) = SPREAD( sa(:,nys,nxl), 2, statistic_regions+1 )
738	ENDIF
739
740	IF ( humidity ) THEN
741	!
742	!-- Store initial profile of total water content, virtual potential
743	!-- temperature
744	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
745	hom(:,1,29,:) = SPREAD( vpt(:,nys,nxl), 2, statistic_regions+1 )
746	IF ( cloud_physics .OR. cloud_droplets ) THEN
747	!
748	!-- Store initial profile of specific humidity and potential
749	!-- temperature
750	hom(:,1,27,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
751	hom(:,1,28,:) = SPREAD( pt(:,nys,nxl), 2, statistic_regions+1 )
752	ENDIF
753	ENDIF
754
755	IF ( passive_scalar ) THEN
756	!
757	!-- Store initial scalar profile
758	hom(:,1,26,:) = SPREAD( q(:,nys,nxl), 2, statistic_regions+1 )
759	ENDIF
760
761	!
762	!-- Initialize fluxes at bottom surface
763	IF ( use_surface_fluxes ) THEN
764
765	IF ( constant_heatflux ) THEN
766	!
767	!-- Heat flux is prescribed
768	IF ( random_heatflux ) THEN
769	CALL disturb_heatflux
770	ELSE
771	shf = surface_heatflux
772	!
773	!-- Over topography surface_heatflux is replaced by wall_heatflux(0)
774	IF ( TRIM( topography ) /= 'flat' ) THEN
775	DO i = nxlg, nxrg
776	DO j = nysg, nyng
777	IF ( nzb_s_inner(j,i) /= 0 ) THEN
778	shf(j,i) = wall_heatflux(0)
779	ENDIF
780	ENDDO
781	ENDDO
782	ENDIF
783	ENDIF
784	IF ( ASSOCIATED( shf_m ) ) shf_m = shf
785	ENDIF
786
787	!
788	!-- Determine the near-surface water flux
789	IF ( humidity .OR. passive_scalar ) THEN
790	IF ( constant_waterflux ) THEN
791	qsws = surface_waterflux
792	!
793	!-- Over topography surface_waterflux is replaced by
794	!-- wall_humidityflux(0)
795	IF ( TRIM( topography ) /= 'flat' ) THEN
796	wall_qflux = wall_humidityflux
797	DO i = nxlg, nxrg
798	DO j = nysg, nyng
799	IF ( nzb_s_inner(j,i) /= 0 ) THEN
800	qsws(j,i) = wall_qflux(0)
801	ENDIF
802	ENDDO
803	ENDDO
804	ENDIF
805	IF ( ASSOCIATED( qsws_m ) ) qsws_m = qsws
806	ENDIF
807	ENDIF
808
809	ENDIF
810
811	!
812	!-- Initialize fluxes at top surface
813	!-- Currently, only the heatflux and salinity flux can be prescribed.
814	!-- The latent flux is zero in this case!
815	IF ( use_top_fluxes ) THEN
816
817	IF ( constant_top_heatflux ) THEN
818	!
819	!-- Heat flux is prescribed
820	tswst = top_heatflux
821	IF ( ASSOCIATED( tswst_m ) ) tswst_m = tswst
822
823	IF ( humidity .OR. passive_scalar ) THEN
824	qswst = 0.0
825	IF ( ASSOCIATED( qswst_m ) ) qswst_m = qswst
826	ENDIF
827
828	IF ( ocean ) THEN
829	saswsb = bottom_salinityflux
830	saswst = top_salinityflux
831	ENDIF
832	ENDIF
833
834	!
835	!-- Initialization in case of a coupled model run
836	IF ( coupling_mode == 'ocean_to_atmosphere' ) THEN
837	tswst = 0.0
838	IF ( ASSOCIATED( tswst_m ) ) tswst_m = tswst
839	ENDIF
840
841	ENDIF
842
843	!
844	!-- Initialize Prandtl layer quantities
845	IF ( prandtl_layer ) THEN
846
847	z0 = roughness_length
848	z0h = z0h_factor * z0
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 + inflow_damping_width ) ) THEN
1060	inflow_damping_factor(k) = 1.0 - &
1061	( zu(k) - inflow_damping_height ) / &
1062	inflow_damping_width
1063	ELSE
1064	inflow_damping_factor(k) = 0.0
1065	ENDIF
1066
1067	ENDDO
1068
1069	ENDIF
1070
1071	!
1072	!-- Inside buildings set velocities and TKE back to zero
1073	IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. &
1074	topography /= 'flat' ) THEN
1075	!
1076	!-- Inside buildings set velocities and TKE back to zero.
1077	!-- Other scalars (pt, q, s, km, kh, p, sa, ...) are ignored at present,
1078	!-- maybe revise later.
1079	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1080	DO i = nxlg, nxrg
1081	DO j = nysg, nyng
1082	u (nzb:nzb_u_inner(j,i),j,i) = 0.0
1083	v (nzb:nzb_v_inner(j,i),j,i) = 0.0
1084	w (nzb:nzb_w_inner(j,i),j,i) = 0.0
1085	e (nzb:nzb_w_inner(j,i),j,i) = 0.0
1086	u_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1087	v_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1088	w_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1089	e_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1090	tu_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1091	tv_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1092	tw_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1093	te_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1094	tpt_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1095	ENDDO
1096	ENDDO
1097	ELSE
1098	DO i = nxlg, nxrg
1099	DO j = nysg, nyng
1100	u (nzb:nzb_u_inner(j,i),j,i) = 0.0
1101	v (nzb:nzb_v_inner(j,i),j,i) = 0.0
1102	w (nzb:nzb_w_inner(j,i),j,i) = 0.0
1103	e (nzb:nzb_w_inner(j,i),j,i) = 0.0
1104	u_m(nzb:nzb_u_inner(j,i),j,i) = 0.0
1105	v_m(nzb:nzb_v_inner(j,i),j,i) = 0.0
1106	w_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1107	e_m(nzb:nzb_w_inner(j,i),j,i) = 0.0
1108	u_p(nzb:nzb_u_inner(j,i),j,i) = 0.0
1109	v_p(nzb:nzb_v_inner(j,i),j,i) = 0.0
1110	w_p(nzb:nzb_w_inner(j,i),j,i) = 0.0
1111	e_p(nzb:nzb_w_inner(j,i),j,i) = 0.0
1112	ENDDO
1113	ENDDO
1114	ENDIF
1115
1116	ENDIF
1117
1118	!
1119	!-- Calculate initial temperature field and other constants used in case
1120	!-- of a sloping surface
1121	IF ( sloping_surface ) CALL init_slope
1122
1123	!
1124	!-- Initialize new time levels (only done in order to set boundary values
1125	!-- including ghost points)
1126	e_p = e; pt_p = pt; u_p = u; v_p = v; w_p = w
1127	IF ( humidity .OR. passive_scalar ) q_p = q
1128	IF ( ocean ) sa_p = sa
1129
1130	!
1131	!-- Allthough tendency arrays are set in prognostic_equations, they have
1132	!-- have to be predefined here because they are used (but multiplied with 0)
1133	!-- there before they are set.
1134	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1135	te_m = 0.0; tpt_m = 0.0; tu_m = 0.0; tv_m = 0.0; tw_m = 0.0
1136	IF ( humidity .OR. passive_scalar ) tq_m = 0.0
1137	IF ( ocean ) tsa_m = 0.0
1138	ENDIF
1139
1140	ELSE
1141	!
1142	!-- Actually this part of the programm should not be reached
1143	message_string = 'unknown initializing problem'
1144	CALL message( 'init_3d_model', 'PA0193', 1, 2, 0, 6, 0 )
1145	ENDIF
1146
1147
1148	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1149	!
1150	!-- Initialize old timelevels needed for radiation boundary conditions
1151	IF ( outflow_l ) THEN
1152	u_m_l(:,:,:) = u(:,:,1:2)
1153	v_m_l(:,:,:) = v(:,:,0:1)
1154	w_m_l(:,:,:) = w(:,:,0:1)
1155	ENDIF
1156	IF ( outflow_r ) THEN
1157	u_m_r(:,:,:) = u(:,:,nx-1:nx)
1158	v_m_r(:,:,:) = v(:,:,nx-1:nx)
1159	w_m_r(:,:,:) = w(:,:,nx-1:nx)
1160	ENDIF
1161	IF ( outflow_s ) THEN
1162	u_m_s(:,:,:) = u(:,0:1,:)
1163	v_m_s(:,:,:) = v(:,1:2,:)
1164	w_m_s(:,:,:) = w(:,0:1,:)
1165	ENDIF
1166	IF ( outflow_n ) THEN
1167	u_m_n(:,:,:) = u(:,ny-1:ny,:)
1168	v_m_n(:,:,:) = v(:,ny-1:ny,:)
1169	w_m_n(:,:,:) = w(:,ny-1:ny,:)
1170	ENDIF
1171
1172	ENDIF
1173
1174	!
1175	!-- Calculate the initial volume flow at the right and north boundary
1176	IF ( conserve_volume_flow ) THEN
1177
1178	IF ( use_prescribed_profile_data ) THEN
1179
1180	volume_flow_initial_l = 0.0
1181	volume_flow_area_l = 0.0
1182
1183	IF ( nxr == nx ) THEN
1184	DO j = nys, nyn
1185	DO k = nzb_2d(j,nx)+1, nzt
1186	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1187	u_init(k) * dzw(k)
1188	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1189	ENDDO
1190	ENDDO
1191	ENDIF
1192
1193	IF ( nyn == ny ) THEN
1194	DO i = nxl, nxr
1195	DO k = nzb_2d(ny,i)+1, nzt
1196	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1197	v_init(k) * dzw(k)
1198	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1199	ENDDO
1200	ENDDO
1201	ENDIF
1202
1203	#if defined( __parallel )
1204	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1205	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1206	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1207	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1208
1209	#else
1210	volume_flow_initial = volume_flow_initial_l
1211	volume_flow_area = volume_flow_area_l
1212	#endif
1213
1214	ELSEIF ( TRIM( initializing_actions ) == 'cyclic_fill' ) THEN
1215
1216	volume_flow_initial_l = 0.0
1217	volume_flow_area_l = 0.0
1218
1219	IF ( nxr == nx ) THEN
1220	DO j = nys, nyn
1221	DO k = nzb_2d(j,nx)+1, nzt
1222	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1223	hom_sum(k,1,0) * dzw(k)
1224	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1225	ENDDO
1226	ENDDO
1227	ENDIF
1228
1229	IF ( nyn == ny ) THEN
1230	DO i = nxl, nxr
1231	DO k = nzb_2d(ny,i)+1, nzt
1232	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1233	hom_sum(k,2,0) * dzw(k)
1234	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1235	ENDDO
1236	ENDDO
1237	ENDIF
1238
1239	#if defined( __parallel )
1240	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1241	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1242	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1243	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1244
1245	#else
1246	volume_flow_initial = volume_flow_initial_l
1247	volume_flow_area = volume_flow_area_l
1248	#endif
1249
1250	ELSEIF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
1251
1252	volume_flow_initial_l = 0.0
1253	volume_flow_area_l = 0.0
1254
1255	IF ( nxr == nx ) THEN
1256	DO j = nys, nyn
1257	DO k = nzb_2d(j,nx)+1, nzt
1258	volume_flow_initial_l(1) = volume_flow_initial_l(1) + &
1259	u(k,j,nx) * dzw(k)
1260	volume_flow_area_l(1) = volume_flow_area_l(1) + dzw(k)
1261	ENDDO
1262	ENDDO
1263	ENDIF
1264
1265	IF ( nyn == ny ) THEN
1266	DO i = nxl, nxr
1267	DO k = nzb_2d(ny,i)+1, nzt
1268	volume_flow_initial_l(2) = volume_flow_initial_l(2) + &
1269	v(k,ny,i) * dzw(k)
1270	volume_flow_area_l(2) = volume_flow_area_l(2) + dzw(k)
1271	ENDDO
1272	ENDDO
1273	ENDIF
1274
1275	#if defined( __parallel )
1276	CALL MPI_ALLREDUCE( volume_flow_initial_l(1), volume_flow_initial(1),&
1277	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1278	CALL MPI_ALLREDUCE( volume_flow_area_l(1), volume_flow_area(1), &
1279	2, MPI_REAL, MPI_SUM, comm2d, ierr )
1280
1281	#else
1282	volume_flow_initial = volume_flow_initial_l
1283	volume_flow_area = volume_flow_area_l
1284	#endif
1285
1286	ENDIF
1287
1288	!
1289	!-- In case of 'bulk_velocity' mode, volume_flow_initial is calculated
1290	!-- from u\|v_bulk instead
1291	IF ( TRIM( conserve_volume_flow_mode ) == 'bulk_velocity' ) THEN
1292	volume_flow_initial(1) = u_bulk * volume_flow_area(1)
1293	volume_flow_initial(2) = v_bulk * volume_flow_area(2)
1294	ENDIF
1295
1296	ENDIF
1297
1298	!
1299	!-- Initialize quantities for special advections schemes
1300	CALL init_advec
1301
1302	!
1303	!-- Impose random perturbation on the horizontal velocity field and then
1304	!-- remove the divergences from the velocity field at the initial stage
1305	IF ( create_disturbances .AND. &
1306	TRIM( initializing_actions ) /= 'read_restart_data' .AND. &
1307	TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN
1308
1309	CALL disturb_field( nzb_u_inner, tend, u )
1310	CALL disturb_field( nzb_v_inner, tend, v )
1311	n_sor = nsor_ini
1312	CALL pres
1313	n_sor = nsor
1314	ENDIF
1315
1316	!
1317	!-- Initialization of the leaf area density
1318	IF ( plant_canopy ) THEN
1319
1320	SELECT CASE ( TRIM( canopy_mode ) )
1321
1322	CASE( 'block' )
1323
1324	DO i = nxlg, nxrg
1325	DO j = nysg, nyng
1326	lad_s(:,j,i) = lad(:)
1327	cdc(:,j,i) = drag_coefficient
1328	IF ( passive_scalar ) THEN
1329	sls(:,j,i) = leaf_surface_concentration
1330	sec(:,j,i) = scalar_exchange_coefficient
1331	ENDIF
1332	ENDDO
1333	ENDDO
1334
1335	CASE DEFAULT
1336
1337	!
1338	!-- The DEFAULT case is reached either if the parameter
1339	!-- canopy mode contains a wrong character string or if the
1340	!-- user has coded a special case in the user interface.
1341	!-- There, the subroutine user_init_plant_canopy checks
1342	!-- which of these two conditions applies.
1343	CALL user_init_plant_canopy
1344
1345	END SELECT
1346
1347	CALL exchange_horiz( lad_s, nbgp )
1348	CALL exchange_horiz( cdc, nbgp )
1349
1350	IF ( passive_scalar ) THEN
1351	CALL exchange_horiz( sls, nbgp )
1352	CALL exchange_horiz( sec, nbgp )
1353	ENDIF
1354
1355	!
1356	!-- Sharp boundaries of the plant canopy in horizontal directions
1357	!-- In vertical direction the interpolation is retained, as the leaf
1358	!-- area density is initialised by prescribing a vertical profile
1359	!-- consisting of piecewise linear segments. The upper boundary
1360	!-- of the plant canopy is now defined by lad_w(pch_index,:,:) = 0.0.
1361
1362	DO i = nxl, nxr
1363	DO j = nys, nyn
1364	DO k = nzb, nzt+1
1365	IF ( lad_s(k,j,i) > 0.0 ) THEN
1366	lad_u(k,j,i) = lad_s(k,j,i)
1367	lad_u(k,j,i+1) = lad_s(k,j,i)
1368	lad_v(k,j,i) = lad_s(k,j,i)
1369	lad_v(k,j+1,i) = lad_s(k,j,i)
1370	ENDIF
1371	ENDDO
1372	DO k = nzb, nzt
1373	lad_w(k,j,i) = 0.5 * ( lad_s(k+1,j,i) + lad_s(k,j,i) )
1374	ENDDO
1375	ENDDO
1376	ENDDO
1377
1378	lad_w(pch_index,:,:) = 0.0
1379	lad_w(nzt+1,:,:) = lad_w(nzt,:,:)
1380
1381	CALL exchange_horiz( lad_u, nbgp )
1382	CALL exchange_horiz( lad_v, nbgp )
1383	CALL exchange_horiz( lad_w, nbgp )
1384
1385	!
1386	!-- Initialisation of the canopy heat source distribution
1387	IF ( cthf /= 0.0 ) THEN
1388	!
1389	!-- Piecewise evaluation of the leaf area index by
1390	!-- integration of the leaf area density
1391	lai(:,:,:) = 0.0
1392	DO i = nxlg, nxrg
1393	DO j = nysg, nyng
1394	DO k = pch_index-1, 0, -1
1395	lai(k,j,i) = lai(k+1,j,i) + &
1396	( 0.5 * ( lad_w(k+1,j,i) + &
1397	lad_s(k+1,j,i) ) * &
1398	( zw(k+1) - zu(k+1) ) ) + &
1399	( 0.5 * ( lad_w(k,j,i) + &
1400	lad_s(k+1,j,i) ) * &
1401	( zu(k+1) - zw(k) ) )
1402	ENDDO
1403	ENDDO
1404	ENDDO
1405
1406	!
1407	!-- Evaluation of the upward kinematic vertical heat flux within the
1408	!-- canopy
1409	DO i = nxlg, nxrg
1410	DO j = nysg, nyng
1411	DO k = 0, pch_index
1412	canopy_heat_flux(k,j,i) = cthf * &
1413	exp( -0.6 * lai(k,j,i) )
1414	ENDDO
1415	ENDDO
1416	ENDDO
1417
1418	!
1419	!-- The near surface heat flux is derived from the heat flux
1420	!-- distribution within the canopy
1421	shf(:,:) = canopy_heat_flux(0,:,:)
1422
1423	IF ( ASSOCIATED( shf_m ) ) shf_m = shf
1424
1425	ENDIF
1426
1427	ENDIF
1428
1429	!
1430	!-- If required, initialize dvrp-software
1431	IF ( dt_dvrp /= 9999999.9 ) CALL init_dvrp
1432
1433	IF ( ocean ) THEN
1434	!
1435	!-- Initialize quantities needed for the ocean model
1436	CALL init_ocean
1437
1438	ELSE
1439	!
1440	!-- Initialize quantities for handling cloud physics
1441	!-- This routine must be called before lpm_init, because
1442	!-- otherwise, array pt_d_t, needed in data_output_dvrp (called by
1443	!-- lpm_init) is not defined.
1444	CALL init_cloud_physics
1445	ENDIF
1446
1447	!
1448	!-- If required, initialize particles
1449	IF ( particle_advection ) CALL lpm_init
1450
1451	!
1452	!-- Initialize the ws-scheme.
1453	IF ( ws_scheme_sca .OR. ws_scheme_mom ) CALL ws_init
1454
1455	!
1456	!-- Setting weighting factors for calculation of perturbation pressure
1457	!-- and turbulent quantities from the RK substeps
1458	IF ( TRIM(timestep_scheme) == 'runge-kutta-3' ) THEN ! for RK3-method
1459
1460	weight_substep(1) = 1./6.
1461	weight_substep(2) = 3./10.
1462	weight_substep(3) = 8./15.
1463
1464	weight_pres(1) = 1./3.
1465	weight_pres(2) = 5./12.
1466	weight_pres(3) = 1./4.
1467
1468	ELSEIF ( TRIM(timestep_scheme) == 'runge-kutta-2' ) THEN ! for RK2-method
1469
1470	weight_substep(1) = 1./2.
1471	weight_substep(2) = 1./2.
1472
1473	weight_pres(1) = 1./2.
1474	weight_pres(2) = 1./2.
1475
1476	ELSE ! for Euler- and leapfrog-method
1477
1478	weight_substep(1) = 1.0
1479	weight_pres(1) = 1.0
1480
1481	ENDIF
1482
1483	!
1484	!-- Initialize Rayleigh damping factors
1485	rdf = 0.0
1486	rdf_sc = 0.0
1487	IF ( rayleigh_damping_factor /= 0.0 ) THEN
1488	IF ( .NOT. ocean ) THEN
1489	DO k = nzb+1, nzt
1490	IF ( zu(k) >= rayleigh_damping_height ) THEN
1491	rdf(k) = rayleigh_damping_factor * &
1492	( SIN( pi * 0.5 * ( zu(k) - rayleigh_damping_height ) &
1493	/ ( zu(nzt) - rayleigh_damping_height ) )&
1494	)**2
1495	ENDIF
1496	ENDDO
1497	ELSE
1498	DO k = nzt, nzb+1, -1
1499	IF ( zu(k) <= rayleigh_damping_height ) THEN
1500	rdf(k) = rayleigh_damping_factor * &
1501	( SIN( pi * 0.5 * ( rayleigh_damping_height - zu(k) ) &
1502	/ ( rayleigh_damping_height - zu(nzb+1)))&
1503	)**2
1504	ENDIF
1505	ENDDO
1506	ENDIF
1507	ENDIF
1508	IF ( scalar_rayleigh_damping ) rdf_sc = rdf
1509
1510	!
1511	!-- Initialize the starting level and the vertical smoothing factor used for
1512	!-- the external pressure gradient
1513	dp_smooth_factor = 1.0
1514	IF ( dp_external ) THEN
1515	!
1516	!-- Set the starting level dp_level_ind_b only if it has not been set before
1517	!-- (e.g. in init_grid).
1518	IF ( dp_level_ind_b == 0 ) THEN
1519	ind_array = MINLOC( ABS( dp_level_b - zu ) )
1520	dp_level_ind_b = ind_array(1) - 1 + nzb
1521	! MINLOC uses lower array bound 1
1522	ENDIF
1523	IF ( dp_smooth ) THEN
1524	dp_smooth_factor(:dp_level_ind_b) = 0.0
1525	DO k = dp_level_ind_b+1, nzt
1526	dp_smooth_factor(k) = 0.5 * ( 1.0 + SIN( pi * &
1527	( REAL( k - dp_level_ind_b ) / &
1528	REAL( nzt - dp_level_ind_b ) - 0.5 ) ) )
1529	ENDDO
1530	ENDIF
1531	ENDIF
1532
1533	!
1534	!-- Initialize damping zone for the potential temperature in case of
1535	!-- non-cyclic lateral boundaries. The damping zone has the maximum value
1536	!-- at the inflow boundary and decreases to zero at pt_damping_width.
1537	ptdf_x = 0.0
1538	ptdf_y = 0.0
1539	IF ( bc_lr_dirrad .OR. bc_lr_dirneu ) THEN
1540	DO i = nxl, nxr
1541	IF ( ( i * dx ) < pt_damping_width ) THEN
1542	ptdf_x(i) = pt_damping_factor * ( SIN( pi * 0.5 * &
1543	REAL( pt_damping_width - i * dx ) / ( &
1544	REAL( pt_damping_width ) ) ) )**2
1545	ENDIF
1546	ENDDO
1547	ELSEIF ( bc_lr_raddir .OR. bc_lr_neudir ) THEN
1548	DO i = nxl, nxr
1549	IF ( ( i * dx ) > ( nx * dx - pt_damping_width ) ) THEN
1550	ptdf_x(i) = pt_damping_factor * &
1551	SIN( pi * 0.5 * ( ( i - nx ) * dx + pt_damping_width ) / &
1552	REAL( pt_damping_width ) )**2
1553	ENDIF
1554	ENDDO
1555	ELSEIF ( bc_ns_dirrad .OR. bc_ns_dirneu ) THEN
1556	DO j = nys, nyn
1557	IF ( ( j * dy ) > ( ny * dy - pt_damping_width ) ) THEN
1558	ptdf_y(j) = pt_damping_factor * &
1559	SIN( pi * 0.5 * ( ( j - ny ) * dy + pt_damping_width ) / &
1560	REAL( pt_damping_width ) )**2
1561	ENDIF
1562	ENDDO
1563	ELSEIF ( bc_ns_raddir .OR. bc_ns_neudir ) THEN
1564	DO j = nys, nyn
1565	IF ( ( j * dy ) < pt_damping_width ) THEN
1566	ptdf_y(j) = pt_damping_factor * &
1567	SIN( pi * 0.5 * ( pt_damping_width - j * dy ) / &
1568	REAL( pt_damping_width ) )**2
1569	ENDIF
1570	ENDDO
1571	ENDIF
1572
1573	!
1574	!-- Initialize local summation arrays for routine flow_statistics.
1575	!-- This is necessary because they may not yet have been initialized when they
1576	!-- are called from flow_statistics (or - depending on the chosen model run -
1577	!-- are never initialized)
1578	sums_divnew_l = 0.0
1579	sums_divold_l = 0.0
1580	sums_l_l = 0.0
1581	sums_up_fraction_l = 0.0
1582	sums_wsts_bc_l = 0.0
1583
1584	!
1585	!-- Pre-set masks for regional statistics. Default is the total model domain.
1586	rmask = 1.0
1587
1588	!
1589	!-- User-defined initializing actions. Check afterwards, if maximum number
1590	!-- of allowed timeseries is exceeded
1591	CALL user_init
1592
1593	IF ( dots_num > dots_max ) THEN
1594	WRITE( message_string, * ) 'number of time series quantities exceeds', &
1595	' its maximum of dots_max = ', dots_max, &
1596	' &Please increase dots_max in modules.f90.'
1597	CALL message( 'init_3d_model', 'PA0194', 1, 2, 0, 6, 0 )
1598	ENDIF
1599
1600	!
1601	!-- Input binary data file is not needed anymore. This line must be placed
1602	!-- after call of user_init!
1603	CALL close_file( 13 )
1604
1605	!
1606	!-- Compute total sum of active mask grid points
1607	!-- ngp_2dh: number of grid points of a horizontal cross section through the
1608	!-- total domain
1609	!-- ngp_3d: number of grid points of the total domain
1610	ngp_2dh_outer_l = 0
1611	ngp_2dh_outer = 0
1612	ngp_2dh_s_inner_l = 0
1613	ngp_2dh_s_inner = 0
1614	ngp_2dh_l = 0
1615	ngp_2dh = 0
1616	ngp_3d_inner_l = 0.0
1617	ngp_3d_inner = 0
1618	ngp_3d = 0
1619	ngp_sums = ( nz + 2 ) * ( pr_palm + max_pr_user )
1620
1621	DO sr = 0, statistic_regions
1622	DO i = nxl, nxr
1623	DO j = nys, nyn
1624	IF ( rmask(j,i,sr) == 1.0 ) THEN
1625	!
1626	!-- All xy-grid points
1627	ngp_2dh_l(sr) = ngp_2dh_l(sr) + 1
1628	!
1629	!-- xy-grid points above topography
1630	DO k = nzb_s_outer(j,i), nz + 1
1631	ngp_2dh_outer_l(k,sr) = ngp_2dh_outer_l(k,sr) + 1
1632	ENDDO
1633	DO k = nzb_s_inner(j,i), nz + 1
1634	ngp_2dh_s_inner_l(k,sr) = ngp_2dh_s_inner_l(k,sr) + 1
1635	ENDDO
1636	!
1637	!-- All grid points of the total domain above topography
1638	ngp_3d_inner_l(sr) = ngp_3d_inner_l(sr) + &
1639	( nz - nzb_s_inner(j,i) + 2 )
1640	ENDIF
1641	ENDDO
1642	ENDDO
1643	ENDDO
1644
1645	sr = statistic_regions + 1
1646	#if defined( __parallel )
1647	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1648	CALL MPI_ALLREDUCE( ngp_2dh_l(0), ngp_2dh(0), sr, MPI_INTEGER, MPI_SUM, &
1649	comm2d, ierr )
1650	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1651	CALL MPI_ALLREDUCE( ngp_2dh_outer_l(0,0), ngp_2dh_outer(0,0), (nz+2)*sr, &
1652	MPI_INTEGER, MPI_SUM, comm2d, ierr )
1653	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1654	CALL MPI_ALLREDUCE( ngp_2dh_s_inner_l(0,0), ngp_2dh_s_inner(0,0), &
1655	(nz+2)*sr, MPI_INTEGER, MPI_SUM, comm2d, ierr )
1656	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1657	CALL MPI_ALLREDUCE( ngp_3d_inner_l(0), ngp_3d_inner_tmp(0), sr, MPI_REAL, &
1658	MPI_SUM, comm2d, ierr )
1659	ngp_3d_inner = INT( ngp_3d_inner_tmp, KIND = SELECTED_INT_KIND( 18 ) )
1660	#else
1661	ngp_2dh = ngp_2dh_l
1662	ngp_2dh_outer = ngp_2dh_outer_l
1663	ngp_2dh_s_inner = ngp_2dh_s_inner_l
1664	ngp_3d_inner = INT( ngp_3d_inner_l, KIND = SELECTED_INT_KIND( 18 ) )
1665	#endif
1666
1667	ngp_3d = INT ( ngp_2dh, KIND = SELECTED_INT_KIND( 18 ) ) * &
1668	INT ( (nz + 2 ), KIND = SELECTED_INT_KIND( 18 ) )
1669
1670	!
1671	!-- Set a lower limit of 1 in order to avoid zero divisions in flow_statistics,
1672	!-- buoyancy, etc. A zero value will occur for cases where all grid points of
1673	!-- the respective subdomain lie below the surface topography
1674	ngp_2dh_outer = MAX( 1, ngp_2dh_outer(:,:) )
1675	ngp_3d_inner = MAX( INT(1, KIND = SELECTED_INT_KIND( 18 )), &
1676	ngp_3d_inner(:) )
1677	ngp_2dh_s_inner = MAX( 1, ngp_2dh_s_inner(:,:) )
1678
1679	DEALLOCATE( ngp_2dh_l, ngp_2dh_outer_l, ngp_3d_inner_l, ngp_3d_inner_tmp )
1680
1681
1682	END SUBROUTINE init_3d_model

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