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source: palm/trunk/SOURCE/modules.f90 @ 9

Last change on this file since 9 was 4, checked in by raasch, 18 years ago
Id keyword set as property for all *.f90 files
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1	MODULE advection
2
3
4	!------------------------------------------------------------------------------!
5	! Actual revisions:
6	! -----------------
7	!
8	!
9	! Former revisions:
10	! -----------------
11	! $Id: modules.f90 4 2007-02-13 11:33:16Z raasch $
12	! RCS Log replace by Id keyword, revision history cleaned up
13	!
14	! Revision 1.95 2007/02/11 13:18:30 raasch
15	! version 3.1b (last under RCS control)
16	!
17	! Revision 1.1 1997/07/24 11:21:26 raasch
18	! Initial revision
19	!
20	!
21	! Description:
22	! ------------
23	! Definition of variables for special advection schemes
24	!------------------------------------------------------------------------------!
25
26	REAL :: spl_gamma_x, spl_gamma_y
27
28	REAL, DIMENSION(:), ALLOCATABLE :: aex, bex, dex, eex, spl_z_x, spl_z_y
29	REAL, DIMENSION(:,:), ALLOCATABLE :: spl_tri_x, spl_tri_y, spl_tri_zu, &
30	spl_tri_zw
31
32	SAVE
33
34	END MODULE advection
35
36
37
38
39	MODULE array_kind
40
41	!------------------------------------------------------------------------------!
42	! Description:
43	! ------------
44	! Definition of type parameters (used for the definition of single or double
45	! precision variables)
46	!------------------------------------------------------------------------------!
47
48	INTEGER, PARAMETER :: dpk = SELECTED_REAL_KIND( 12 ), &
49	spk = SELECTED_REAL_KIND( 6 )
50
51	SAVE
52
53	END MODULE array_kind
54
55
56
57
58	MODULE arrays_3d
59
60	!------------------------------------------------------------------------------!
61	! Description:
62	! ------------
63	! Definition of all arrays defined on the computational grid
64	!------------------------------------------------------------------------------!
65
66	USE array_kind
67
68	REAL, DIMENSION(:), ALLOCATABLE :: &
69	ddzu, dd2zu, dzu, ddzw, dzw, km_damp_x, km_damp_y, l_grid, pt_init, &
70	q_init, rdf, ug, u_init, uvmean_outflow, uvmean_outflow_l, vg, &
71	v_init, zu, zw
72
73	REAL, DIMENSION(:,:), ALLOCATABLE :: &
74	dzu_mg, dzw_mg, f1_mg, f2_mg, f3_mg, pt_slope_ref, qs, ts, us, z0
75
76	REAL, DIMENSION(:,:), ALLOCATABLE, TARGET :: &
77	qsws_1, qsws_2, rif_1, rif_2, shf_1, shf_2, usws_1, usws_2, &
78	vsws_1, vsws_2
79
80	REAL, DIMENSION(:,:), POINTER :: &
81	qsws, qsws_m, rif, rif_m, shf, shf_m, usws, usws_m, vsws, vsws_m
82
83	REAL, DIMENSION(:,:,:), ALLOCATABLE :: &
84	d, diss, l_wall, tend
85
86	REAL, DIMENSION(:,:,:), ALLOCATABLE, TARGET :: &
87	ql_v, ql_vp
88
89	REAL, DIMENSION(:,:,:), ALLOCATABLE, TARGET :: &
90	e_1, e_2, e_3, kh_1, kh_2, km_1, km_2, pt_1, pt_2, pt_3, q_1, q_2, &
91	q_3, ql_1, ql_2, u_1, u_2, u_3, v_1, v_2, v_3, vpt_1, vpt_2, w_1, &
92	w_2, w_3
93
94	REAL, DIMENSION(:,:,:), POINTER :: &
95	e, e_m, e_p, kh, kh_m, km, km_m, p, pt, pt_m, pt_p, q, q_m, q_p, ql, &
96	ql_c, te_m, tpt_m, tq_m, tu_m, tv_m, tw_m, u, u_m, u_p, v, v_m, v_p, &
97	vpt, vpt_m, w, w_m, w_p
98
99
100	SAVE
101
102	END MODULE arrays_3d
103
104
105
106
107	MODULE averaging
108
109	!------------------------------------------------------------------------------!
110	! Description:
111	! ------------
112	! Definition of variables needed for time-averaging of 2d/3d data
113	!------------------------------------------------------------------------------!
114
115	REAL, DIMENSION(:,:), ALLOCATABLE :: lwp_av, ts_av, us_av
116
117	REAL, DIMENSION(:,:,:), ALLOCATABLE, TARGET :: &
118	e_av, p_av, pc_av, pr_av, pt_av, q_av, ql_av, ql_c_av, ql_v_av, &
119	ql_vp_av, qv_av, s_av, u_av, v_av, vpt_av, w_av
120
121	END MODULE averaging
122
123
124
125
126	MODULE cloud_parameters
127
128	!------------------------------------------------------------------------------!
129	! Description:
130	! ------------
131	! Definition of variables and constants for cloud physics
132	!------------------------------------------------------------------------------!
133
134	REAL :: b_cond, cp = 1005.0, diff_coeff_l = 0.23E-4, &
135	effective_coll_efficiency, l_d_cp, l_d_r, l_d_rv, l_v = 2.5E+06, &
136	mass_of_solute, molecular_weight_of_solute, &
137	prec_time_const = 0.001, ql_crit = 0.0005, rho_l = 1.0E3, &
138	r_d = 287.0, r_v = 461.51, rho_surface, &
139	thermal_conductivity_l = 2.43E-2
140
141	REAL, DIMENSION(:), ALLOCATABLE :: hydro_press, pt_d_t, t_d_pt
142
143	SAVE
144
145	END MODULE cloud_parameters
146
147
148
149
150	MODULE constants
151
152	!------------------------------------------------------------------------------!
153	! Description:
154	! ------------
155	! Definition of general constants
156	!------------------------------------------------------------------------------!
157
158	REAL :: pi = 3.141592654
159
160	SAVE
161
162	END MODULE constants
163
164
165
166
167	MODULE control_parameters
168
169	!------------------------------------------------------------------------------!
170	! Description:
171	! ------------
172	! Definition of parameters for program control
173	!------------------------------------------------------------------------------!
174
175	TYPE plot_precision
176	CHARACTER (LEN=6) :: variable
177	INTEGER :: precision
178	END TYPE plot_precision
179
180	TYPE(plot_precision), DIMENSION(100) :: plot_3d_precision = &
181	(/ plot_precision( 'u', 2 ), plot_precision( 'v', 2 ), &
182	plot_precision( 'w', 2 ), plot_precision( 'p', 5 ), &
183	plot_precision( 'pt', 2 ), &
184	( plot_precision( ' ', 1 ), i9 = 1,95 ) /)
185
186	TYPE file_status
187	LOGICAL :: opened, opened_before
188	END TYPE file_status
189
190	TYPE(file_status), DIMENSION(200) :: openfile = file_status(.FALSE.,.FALSE.)
191
192
193	CHARACTER (LEN=1) :: cycle_mg = 'w', timestep_reason = ' '
194	CHARACTER (LEN=5) :: write_binary = 'false'
195	CHARACTER (LEN=6) :: grid_matching = 'match'
196	CHARACTER (LEN=8) :: run_date, run_time
197	CHARACTER (LEN=9) :: simulated_time_chr
198	CHARACTER (LEN=12) :: version = 'PALM 3.1b'
199	CHARACTER (LEN=16) :: momentum_advec = 'pw-scheme', &
200	psolver = 'poisfft', &
201	scalar_advec = 'pw-scheme'
202	CHARACTER (LEN=20) :: bc_e_b = 'neumann', bc_lr = 'cyclic', &
203	bc_ns = 'cyclic', &
204	bc_p_b = 'neumann', bc_p_t = 'dirichlet', &
205	bc_pt_b = 'dirichlet', bc_pt_t = 'neumann', &
206	bc_q_b = 'dirichlet', bc_q_t = 'neumann', &
207	bc_s_b = 'dirichlet', bc_s_t = 'neumann', &
208	bc_uv_b = 'dirichlet', bc_uv_t = 'dirichlet', &
209	dissipation_1d = 'as_in_3d_model', &
210	fft_method = 'system-specific', &
211	mixing_length_1d = 'as_in_3d_model', &
212	random_generator = 'numerical-recipes', &
213	timestep_scheme = 'runge-kutta-3'
214	CHARACTER (LEN=40) :: avs_data_file, topography = 'flat'
215	CHARACTER (LEN=64) :: host
216	CHARACTER (LEN=80) :: log_message, run_description_header, run_identifier
217	CHARACTER (LEN=100) :: initializing_actions = ' '
218
219	CHARACTER (LEN=7), DIMENSION(100) :: do3d_comp_prec = ' '
220	CHARACTER (LEN=10), DIMENSION(10) :: data_output_format = ' '
221	CHARACTER (LEN=10), DIMENSION(100) :: data_output = ' ', &
222	data_output_pr = ' ', &
223	data_output_ts = ' ', &
224	data_output_user = ' ', doav = ' '
225	CHARACTER (LEN=20), DIMENSION(10) :: netcdf_precision = ' '
226
227	CHARACTER (LEN=10), DIMENSION(0:1,100) :: do2d = ' ', do3d = ' '
228
229	INTEGER :: average_count_pr = 0, average_count_sp = 0, &
230	average_count_3d = 0, current_timestep_number = 0, &
231	dist_range = 0, disturbance_level_ind_b, &
232	disturbance_level_ind_t, doav_n = 0, dopr_n = 0, &
233	dopr_time_count = 0, dopts_time_count = 0, &
234	dosp_time_count = 0, dots_n = 0, dots_time_count = 0, &
235	do2d_xy_n = 0, do2d_xz_n = 0, do2d_yz_n = 0, do3d_avs_n = 0, &
236	dvrp_filecount = 0, dz_stretch_level_index, gamma_mg, &
237	grid_level, ibc_e_b, ibc_p_b, ibc_p_t, ibc_pt_b, ibc_pt_t, &
238	ibc_q_b, ibc_q_t, ibc_uv_b, ibc_uv_t, &
239	inflow_disturbance_begin = -1, inflow_disturbance_end = -1, &
240	intermediate_timestep_count, intermediate_timestep_count_max, &
241	iran = -1234567, last_dt_change = 0, maximum_grid_level, &
242	mgcycles = 0, mg_cycles = -1, mg_switch_to_pe0_level = 0, &
243	ngsrb = 2, nsor = 20, nsor_ini = 100, n_sor, &
244	normalizing_region = 0, nz_do1d, nz_do3d = -9999, &
245	outflow_damping_width = -1, prt_time_count = 0, runnr = 0, &
246	skip_do_avs = 0, timestep_count = 0
247
248	INTEGER :: dist_nxl(0:1), dist_nxr(0:1), dist_nyn(0:1), dist_nys(0:1), &
249	do2d_no(0:1) = 0, do2d_xy_time_count(0:1), &
250	do2d_xz_time_count(0:1), do2d_yz_time_count(0:1), &
251	do3d_no(0:1) = 0, do3d_time_count(0:1), &
252	pt_vertical_gradient_level_ind(10) = -9999, &
253	q_vertical_gradient_level_ind(10) = -9999, &
254	section(100,3), section_xy(100) = -9999, &
255	section_xz(100) = -9999, section_yz(100) = -9999, &
256	ug_vertical_gradient_level_ind(10) = -9999, &
257	vg_vertical_gradient_level_ind(10) = -9999
258
259	INTEGER, DIMENSION(:), ALLOCATABLE :: grid_level_count
260
261	LOGICAL :: adjust_mixing_length = .FALSE., avs_output = .FALSE., &
262	call_psolver_at_all_substeps = .TRUE., &
263	cloud_droplets = .FALSE., cloud_physics = .FALSE., &
264	conserve_volume_flow = .FALSE., constant_diffusion = .FALSE., &
265	constant_heatflux = .TRUE., constant_waterflux = .TRUE., &
266	create_disturbances = .TRUE., cut_spline_overshoot = .TRUE., &
267	data_output_2d_on_each_pe = .TRUE., do2d_at_begin = .FALSE., &
268	do3d_at_begin = .FALSE., do3d_compress = .FALSE., &
269	do_sum = .FALSE., dt_changed = .FALSE., dt_fixed = .FALSE., &
270	disturbance_created = .FALSE., &
271	first_call_advec_particles = .TRUE., &
272	force_print_header = .FALSE., galilei_transformation = .FALSE., &
273	inflow_l = .FALSE., inflow_n = .FALSE., inflow_r = .FALSE., &
274	inflow_s = .FALSE., iso2d_output = .FALSE., &
275	mg_switch_to_pe0 = .FALSE., moisture = .FALSE., &
276	netcdf_output = .FALSE., netcdf_64bit = .FALSE., &
277	outflow_l = .FALSE., outflow_n = .FALSE., outflow_r = .FALSE., &
278	outflow_s = .FALSE., passive_scalar = .FALSE., &
279	prandtl_layer = .TRUE., precipitation = .FALSE., &
280	profil_output = .FALSE., radiation = .FALSE., &
281	random_heatflux = .FALSE., run_control_header = .FALSE., &
282	sloping_surface = .FALSE., stop_dt = .FALSE., &
283	terminate_run = .FALSE., use_prior_plot1d_parameters = .FALSE., &
284	use_surface_fluxes = .FALSE., use_ug_for_galilei_tr = .TRUE., &
285	use_upstream_for_tke = .FALSE., wall_adjustment = .TRUE.
286
287	LOGICAL :: data_output_xy(0:1) = .FALSE., data_output_xz(0:1) = .FALSE., &
288	data_output_yz(0:1) = .FALSE.
289
290	REAL :: advected_distance_x = 0.0, advected_distance_y = 0.0, &
291	alpha_surface = 0.0, asselin_filter_factor = 0.1, &
292	averaging_interval = 0.0, averaging_interval_pr = 9999999.9, &
293	averaging_interval_sp = 9999999.9, bc_pt_t_val, bc_q_t_val, &
294	building_height = 50.0, building_length_x = 50.0, &
295	building_length_y = 50.0, building_wall_left = 9999999.9, &
296	building_wall_south = 9999999.9, cfl_factor = -1.0, &
297	cos_alpha_surface, disturbance_amplitude = 0.25, &
298	disturbance_energy_limit = 0.01, disturbance_level_b = -1.0, &
299	disturbance_level_t = -1.0, dt = -1.0, dt_averaging_input = 0.0, &
300	dt_averaging_input_pr = 9999999.9, dt_data_output = 9999999.9, &
301	dt_data_output_av = 9999999.9, dt_disturb = 9999999.9, &
302	dt_dopr = 9999999.9, dt_dopr_listing = 9999999.9, &
303	dt_dopts = 9999999.9, dt_dosp = 9999999.9, dt_dots = 9999999.9, &
304	dt_do2d_xy = 9999999.9, dt_do2d_xz = 9999999.9, &
305	dt_do2d_yz = 9999999.9, dt_do3d = 9999999.9, dt_dvrp = 9999999.9, &
306	dt_max = 20.0, dt_prel = 9999999.9, dt_restart = 9999999.9, &
307	dt_run_control = 60.0, dt_3d = -1.0, dz = -1.0, &
308	dz_max = 9999999.9, dz_stretch_factor = 1.08, &
309	dz_stretch_level = 100000.0, e_min = 0.0, end_time = 0.0, &
310	f = 0.0, fs = 0.0, g = 9.81, kappa = 0.4, km_constant = -1.0, &
311	km_damp_max = -1.0, long_filter_factor = 0.0, &
312	maximum_cpu_time_allowed = 0.0, molecular_viscosity = 1.461E-5, &
313	old_dt = 1.0E-10, omega = 7.29212E-5, omega_sor = 1.8, &
314	overshoot_limit_e = 0.0, overshoot_limit_pt = 0.0, &
315	overshoot_limit_u = 0.0, overshoot_limit_v = 0.0, &
316	overshoot_limit_w = 0.0, particle_maximum_age = 9999999.9, &
317	phi = 55.0, prandtl_number = 1.0, pt_slope_offset = 0.0, &
318	pt_surface = 300.0, pt_surface_initial_change = 0.0, &
319	q_surface = 0.0, q_surface_initial_change = 0.0, &
320	rayleigh_damping_factor = -1.0, rayleigh_damping_height = -1.0, &
321	residual_limit = 1.0E-4, restart_time = 9999999.9, rif_max = 1.0, &
322	rif_min = -5.0, roughness_length = 0.1, simulated_time = 0.0, &
323	simulated_time_at_begin, sin_alpha_surface, &
324	skip_time_data_output = 0.0, skip_time_data_output_av = 9999999.9,&
325	skip_time_dopr = 9999999.9, skip_time_dosp = 9999999.9, &
326	skip_time_do2d_xy = 9999999.9, skip_time_do2d_xz = 9999999.9, &
327	skip_time_do2d_yz = 9999999.9, skip_time_do3d = 9999999.9, &
328	surface_heatflux = 9999999.9, surface_pressure = 1013.25, &
329	surface_scalarflux = 0.0, surface_waterflux = 0.0, &
330	s_surface = 0.0, s_surface_initial_change = 0.0, &
331	termination_time_needed = -1.0, time_disturb = 0.0, &
332	time_dopr = 0.0, time_dopr_av = 0.0, time_dopr_listing = 0.0, &
333	time_dopts = 0.0, time_dosp = 0.0, time_dosp_av = 0.0, &
334	time_dots = 0.0, time_do2d_xy = 0.0, time_do2d_xz = 0.0, &
335	time_do2d_yz = 0.0, time_do3d = 0.0, time_do_av = 0.0, &
336	time_do_sla = 0.0, time_dvrp = 0.0, time_prel = 0.0, &
337	time_restart = 9999999.9, time_run_control = 0.0, &
338	ug_surface = 0.0, u_gtrans = 0.0, ups_limit_e = 0.0, &
339	ups_limit_pt = 0.0, ups_limit_u = 0.0, ups_limit_v = 0.0, &
340	ups_limit_w = 0.0, vg_surface = 0.0, v_gtrans = 0.0, &
341	wall_adjustment_factor = 1.8, z_max_do1d = -1.0, &
342	z_max_do1d_normalized = -1.0, z_max_do2d = -1.0
343
344	REAL :: do2d_xy_last_time(0:1) = -1.0, do2d_xz_last_time(0:1) = -1.0, &
345	do2d_yz_last_time(0:1) = -1.0, pt_vertical_gradient(10) = 0.0, &
346	pt_vertical_gradient_level(10) = -1.0, &
347	q_vertical_gradient(10) = 0.0, &
348	q_vertical_gradient_level(10) = -1.0, &
349	s_vertical_gradient(10) = 0.0, &
350	s_vertical_gradient_level(10) = -1.0, threshold(20) = 0.0, &
351	tsc(10) = (/ 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 /), &
352	ug_vertical_gradient(10) = 0.0, &
353	ug_vertical_gradient_level(10) = -1.0, &
354	vg_vertical_gradient(10) = 0.0, &
355	vg_vertical_gradient_level(10) = -1.0, &
356	volume_flow(1:2) = 0.0, volume_flow_area(1:2) = 0.0, &
357	volume_flow_initial(1:2) = 0.0, wall_heatflux(0:4) = 0.0
358
359
360	SAVE
361
362	END MODULE control_parameters
363
364
365
366
367	MODULE cpulog
368
369	!------------------------------------------------------------------------------!
370	! Description:
371	! ------------
372	! Definition of variables for cpu-time measurements
373	!------------------------------------------------------------------------------!
374
375	REAL :: initial_wallclock_time
376
377	TYPE logpoint
378	REAL :: isum, ivect, mean, mtime, mtimevec, sum, vector
379	INTEGER :: counts
380	CHARACTER (LEN=20) :: place
381	END TYPE logpoint
382
383	TYPE(logpoint), DIMENSION(100) :: log_point = logpoint( 0.0, 0.0, 0.0, &
384	0.0, 0.0, 0.0, 0.0, 0, ' ' ), &
385	log_point_s = logpoint( 0.0, 0.0, 0.0, &
386	0.0, 0.0, 0.0, 0.0, 0, ' ' )
387
388	SAVE
389
390	END MODULE cpulog
391
392
393
394
395	MODULE dvrp_variables
396
397	!------------------------------------------------------------------------------!
398	! Description:
399	! ------------
400	! Definition of variables used with dvrp-software
401	!------------------------------------------------------------------------------!
402
403	CHARACTER (LEN=10) :: dvrp_output = 'rtsp'
404
405	CHARACTER (LEN=20), DIMENSION(10) :: mode_dvrp = &
406	(/ ( ' ', i9 = 1,10 ) /)
407
408	CHARACTER (LEN=80) :: dvrp_directory = 'default', &
409	dvrp_file = 'default', &
410	dvrp_host = 'origin.rvs.uni-hannover.de', &
411	dvrp_password = '********', &
412	dvrp_username = ' '
413
414	INTEGER :: dvrp_colourtable_entries = 4, islice_dvrp, nx_dvrp, ny_dvrp, &
415	nz_dvrp
416
417	INTEGER, DIMENSION(10) :: slicer_position_dvrp
418
419	LOGICAL :: cyclic_dvrp = .FALSE., lock_steering_update = .FALSE., &
420	use_seperate_pe_for_dvrp_output = .FALSE.
421
422	REAL :: superelevation = 1.0, superelevation_x = 1.0, &
423	superelevation_y = 1.0
424
425	#if defined( __decalpha )
426	REAL, DIMENSION(2,10) :: slicer_range_limits_dvrp = (/ &
427	-1.0, 1.0, -1.0, 1.0, -1.0, 1.0, -1.0, 1.0, &
428	-1.0, 1.0, -1.0, 1.0, -1.0, 1.0, -1.0, 1.0, &
429	-1.0, 1.0, -1.0, 1.0 /)
430
431	REAL, DIMENSION(2,100) :: interval_values_dvrp, interval_h_dvrp = &
432	(/ 270.0, 225.0, 225.0, 180.0, 70.0, 25.0, &
433	25.0, -25.0, ( 0.0, i9 = 1, 192 ) /), &
434	interval_l_dvrp = 0.5, interval_s_dvrp = 1.0, &
435	interval_a_dvrp = 0.0
436	#else
437	REAL, DIMENSION(2,10) :: slicer_range_limits_dvrp
438
439	REAL, DIMENSION(2,100) :: interval_values_dvrp, interval_h_dvrp, &
440	interval_l_dvrp = 0.5, interval_s_dvrp = 1.0, &
441	interval_a_dvrp = 0.0
442
443	DATA slicer_range_limits_dvrp / -1.0, 1.0, -1.0, 1.0, -1.0, 1.0, &
444	-1.0, 1.0, -1.0, 1.0, -1.0, 1.0, &
445	-1.0, 1.0, -1.0, 1.0, -1.0, 1.0, &
446	-1.0, 1.0 /
447
448	DATA interval_h_dvrp / 270.0, 225.0, 225.0, 180.0, 70.0, 25.0, &
449	25.0, -25.0, 192 * 0.0 /
450	#endif
451
452	REAL, DIMENSION(:), ALLOCATABLE :: xcoor_dvrp, ycoor_dvrp, zcoor_dvrp
453
454	TYPE steering
455	CHARACTER (LEN=20) :: name
456	REAL :: min, max
457	INTEGER :: imin, imax
458	END TYPE steering
459
460	TYPE(steering), DIMENSION(:), ALLOCATABLE :: steering_dvrp
461
462	SAVE
463
464	END MODULE dvrp_variables
465
466
467
468
469	MODULE grid_variables
470
471	!------------------------------------------------------------------------------!
472	! Description:
473	! ------------
474	! Definition of grid spacings
475	!------------------------------------------------------------------------------!
476
477	REAL :: ddx, ddx2, dx = 1.0, dx2, ddy, ddy2, dy = 1.0, dy2
478
479	REAL, DIMENSION(:), ALLOCATABLE :: ddx2_mg, ddy2_mg
480
481	REAL, DIMENSION(:,:), ALLOCATABLE :: fwxm, fwxp, fwym, fwyp, fxm, fxp, &
482	fym, fyp, wall_e_x, wall_e_y, &
483	wall_u, wall_v, wall_w_x, wall_w_y
484
485	SAVE
486
487	END MODULE grid_variables
488
489
490
491
492	MODULE indices
493
494	!------------------------------------------------------------------------------!
495	! Description:
496	! ------------
497	! Definition of array bounds and number of gridpoints
498	!------------------------------------------------------------------------------!
499
500	INTEGER :: ngp_sums, nnx, nx = 0, nxa, nxl, nxr, nxra, nny, ny = 0, nya, &
501	nyn, nyna, nys, nnz, nz = 0, nza, nzb, nzb_diff, nzt, nzta, &
502	uxrp = 0, vynp = 0
503
504	INTEGER, DIMENSION(:), ALLOCATABLE :: &
505	ngp_2dh, ngp_3d, ngp_3d_inner, &
506	nnx_pe, nny_pe, nxl_mg, nxr_mg, nyn_mg, nys_mg, nzt_mg
507
508	INTEGER, DIMENSION(:,:), ALLOCATABLE :: &
509	ngp_2dh_outer, mg_loc_ind, nzb_diff_s_inner, nzb_diff_s_outer, &
510	nzb_diff_u, nzb_diff_v, nzb_inner, nzb_outer, nzb_s_inner, &
511	nzb_s_outer, nzb_u_inner, nzb_u_outer, nzb_v_inner, &
512	nzb_v_outer, nzb_w_inner, nzb_w_outer, nzb_2d
513
514	SAVE
515
516	END MODULE indices
517
518
519
520
521	MODULE interfaces
522
523	!------------------------------------------------------------------------------!
524	! Description:
525	! ------------
526	! Interfaces for special subroutines which use optional parameters
527	!------------------------------------------------------------------------------!
528
529	INTERFACE
530
531	SUBROUTINE cpu_log( log_event, place, modus, barrierwait )
532
533	USE cpulog
534
535	CHARACTER (LEN=*) :: modus, place
536	CHARACTER (LEN=*), OPTIONAL :: barrierwait
537	TYPE(logpoint) :: log_event
538
539	END SUBROUTINE cpu_log
540
541	END INTERFACE
542
543
544
545	INTERFACE
546
547	SUBROUTINE global_min_max ( i1, i2, j1, j2, k1, k2, feld, mode, wert, &
548	wert_ijk, wert1, wert1_ijk )
549	CHARACTER (LEN=*), INTENT(IN) :: mode
550	INTEGER, INTENT(IN) :: i1, i2, j1, j2, k1, k2
551	INTEGER :: wert_ijk(3)
552	INTEGER, OPTIONAL :: wert1_ijk(3)
553	REAL :: wert
554	REAL, OPTIONAL :: wert1
555	REAL, INTENT(IN) :: feld(i1:i2,j1:j2,k1:k2)
556
557	END SUBROUTINE global_min_max
558
559	END INTERFACE
560
561	SAVE
562
563	END MODULE interfaces
564
565
566
567	MODULE pointer_interfaces
568
569	!------------------------------------------------------------------------------!
570	! Description:
571	! ------------
572	! Interfaces for subroutines with pointer arguments called in
573	! prognostic_equations
574	!------------------------------------------------------------------------------!
575
576	INTERFACE
577
578	SUBROUTINE advec_s_bc( sk, sk_char )
579
580	CHARACTER (LEN=*), INTENT(IN) :: sk_char
581	REAL, DIMENSION(:,:,:), POINTER :: sk
582
583	END SUBROUTINE advec_s_bc
584
585	END INTERFACE
586
587
588	SAVE
589
590	END MODULE pointer_interfaces
591
592
593
594
595	MODULE model_1d
596
597	!------------------------------------------------------------------------------!
598	! Description:
599	! ------------
600	! Definition of variables for the 1D-model
601	!------------------------------------------------------------------------------!
602
603	INTEGER :: current_timestep_number_1d = 0, damp_level_ind_1d, &
604	last_dt_change_1d = 0
605
606	LOGICAL :: run_control_header_1d = .FALSE., stop_dt_1d = .FALSE.
607
608	REAL :: damp_level_1d = -1.0, dt_1d = 60.0, dt_max_1d = 300.0, &
609	dt_pr_1d = 9999999.9, dt_run_control_1d = 60.0, &
610	end_time_1d = 864000.0, old_dt_1d = 1.0E-10, &
611	qs1d, simulated_time_1d = 0.0, time_pr_1d = 0.0, &
612	time_run_control_1d = 0.0, ts1d, us1d, usws1d, usws1d_m, &
613	vsws1d, vsws1d_m, z01d
614
615
616	REAL, DIMENSION(:), ALLOCATABLE :: e1d, e1d_m, e1d_p, kh1d, kh1d_m, km1d, &
617	km1d_m, l_black, l1d, l1d_m, rif1d, &
618	te_e, te_em, te_u, te_um, te_v, te_vm, &
619	u1d, u1d_m, u1d_p, v1d, v1d_m, v1d_p
620
621	SAVE
622
623	END MODULE model_1d
624
625
626
627
628	MODULE netcdf_control
629
630	!------------------------------------------------------------------------------!
631	! Description:
632	! ------------
633	! Definition of parameters and variables for netcdf control.
634	!------------------------------------------------------------------------------!
635
636	#if defined( __netcdf )
637	USE netcdf
638	#endif
639
640	INTEGER, PARAMETER :: dopr_norm_num = 7, dopts_num = 26, dots_num = 22, &
641	replace_num = 6
642
643	CHARACTER, DIMENSION( replace_num ) :: &
644	replace_char = (/ '''', '"', '*', '/', '(', ')' /), &
645	replace_by = (/ 'p' , 'p', 's', 'o', '_', '_' /)
646
647	CHARACTER (LEN=6), DIMENSION(dopr_norm_num) :: dopr_norm_names = &
648	(/ 'wpt0 ', 'ws2 ', 'tsw2 ', 'ws3 ', 'ws2tsw', 'wstsw2', &
649	'z_i ' /)
650
651	CHARACTER (LEN=6), DIMENSION(dopr_norm_num) :: dopr_norm_longnames = &
652	(/ 'wpt0 ', 'w2 ', 'tw2 ', 'w3 ', 'w2tw', 'wt*w2', &
653	'z_i ' /)
654
655	CHARACTER (LEN=7), DIMENSION(dopts_num) :: dopts_label = &
656	(/ 'tnpt ', 'x_ ', 'y_ ', 'z_ ', 'z_abs ', 'u ', &
657	'v ', 'w ', 'u" ', 'v" ', 'w" ', 'npt_up ', &
658	'w_up ', 'w_down ', 'npt_max', 'npt_min', 'x2 ', 'y2 ', &
659	'z2 ', 'u2 ', 'v2 ', 'w2 ', 'u"2 ', 'v"2 ', &
660	'w"2 ', 'npt*2 ' /)
661
662	CHARACTER (LEN=7), DIMENSION(dopts_num) :: dopts_unit = &
663	(/ 'number ', 'm ', 'm ', 'm ', 'm ', 'm/s ', &
664	'm/s ', 'm/s ', 'm/s ', 'm/s ', 'm/s ', 'number ', &
665	'm/s ', 'm/s ', 'number ', 'number ', 'm2 ', 'm2 ', &
666	'm2 ', 'm2/s2 ', 'm2/s2 ', 'm2/s2 ', 'm2/s2 ', 'm2/s2 ', &
667	'm2/s2 ', 'number2' /)
668
669	CHARACTER (LEN=7), DIMENSION(dots_num) :: dots_label = &
670	(/ 'E ', 'E* ', 'dt ', 'u* ', 'th* ', 'umax ', &
671	'vmax ', 'wmax ', 'div_new', 'div_old', 'z_i_wpt', 'z_i_pt ', &
672	'w* ', 'w"pt"0 ', 'w"pt" ', 'wpt ', 'pt(0) ', 'pt(zp) ', &
673	'splptx ', 'splpty ', 'splptz ', 'mo_L ' /)
674
675	CHARACTER (LEN=7), DIMENSION(dots_num) :: dots_unit = &
676	(/ 'm2/s2 ', 'm2/s2 ', 's ', 'm/s ', 'K ', 'm/s ', &
677	'm/s ', 'm/s ', 's-1 ', 's-1 ', 'm ', 'm ', &
678	'm/s ', 'K m/s ', 'K m/s ', 'k m/s ', 'K ', 'K ', &
679	'% ', '% ', '% ', 'm ' /)
680
681	CHARACTER (LEN=7), DIMENSION(100) :: dopr_unit = 'unknown'
682
683	CHARACTER (LEN=7), DIMENSION(0:1,100) :: do2d_unit, do3d_unit
684
685	CHARACTER (LEN=16), DIMENSION(25) :: prt_var_names = &
686	(/ 'pt_age ', 'pt_dvrp_size ', 'pt_origin_x ', &
687	'pt_origin_y ', 'pt_origin_z ', 'pt_radius ', &
688	'pt_speed_x ', 'pt_speed_y ', 'pt_speed_z ', &
689	'pt_weight_factor', 'pt_x ', 'pt_y ', &
690	'pt_z ', 'pt_color ', 'pt_group ', &
691	'pt_tailpoints ', 'pt_tail_id ', 'pt_density_ratio', &
692	'pt_exp_arg ', 'pt_exp_term ', 'not_used ', &
693	'not_used ', 'not_used ', 'not_used ', &
694	'not_used ' /)
695
696	CHARACTER (LEN=16), DIMENSION(25) :: prt_var_units = &
697	(/ 'seconds ', 'meters ', 'meters ', &
698	'meters ', 'meters ', 'meters ', &
699	'm/s ', 'm/s ', 'm/s ', &
700	'factor ', 'meters ', 'meters ', &
701	'meters ', 'none ', 'none ', &
702	'none ', 'none ', 'ratio ', &
703	'none ', 'none ', 'not_used ', &
704	'not_used ', 'not_used ', 'not_used ', &
705	'not_used ' /)
706
707	INTEGER :: id_dim_prtnum, id_dim_time_pr, id_dim_time_prt, &
708	id_dim_time_pts, id_dim_time_sp, id_dim_time_ts, id_dim_x_sp, &
709	id_dim_y_sp, id_dim_zu_sp, id_dim_zw_sp, id_set_pr, &
710	id_set_prt, id_set_pts, id_set_sp, id_set_ts, id_var_prtnum, &
711	id_var_rnop_prt, id_var_time_pr, id_var_time_prt, &
712	id_var_time_pts, id_var_time_sp, id_var_time_ts, id_var_x_sp, &
713	id_var_y_sp, id_var_zu_sp, id_var_zw_sp, nc_stat
714
715	INTEGER, DIMENSION(0:1) :: id_dim_time_xy, id_dim_time_xz, &
716	id_dim_time_yz, id_dim_time_3d, id_dim_x_xy, id_dim_xu_xy, &
717	id_dim_x_xz, id_dim_xu_xz, id_dim_x_yz, id_dim_xu_yz, &
718	id_dim_x_3d, id_dim_xu_3d, id_dim_y_xy, id_dim_yv_xy, &
719	id_dim_y_xz, id_dim_yv_xz, id_dim_y_yz, id_dim_yv_yz, &
720	id_dim_y_3d, id_dim_yv_3d, id_dim_zu_xy, id_dim_zu1_xy, &
721	id_dim_zu_xz, id_dim_zu_yz, id_dim_zu_3d, id_dim_zw_xy, &
722	id_dim_zw_xz, id_dim_zw_yz, id_dim_zw_3d, id_set_xy, &
723	id_set_xz, id_set_yz, id_set_3d, id_var_ind_x_yz, &
724	id_var_ind_y_xz, id_var_ind_z_xy, id_var_time_xy, &
725	id_var_time_xz, id_var_time_yz, id_var_time_3d, id_var_x_xy, &
726	id_var_xu_xy, id_var_x_xz, id_var_xu_xz, id_var_x_yz, &
727	id_var_xu_yz, id_var_x_3d, id_var_xu_3d, id_var_y_xy, &
728	id_var_yv_xy, id_var_y_xz, id_var_yv_xz, id_var_y_yz, &
729	id_var_yv_yz, id_var_y_3d, id_var_yv_3d, id_var_zu_xy, &
730	id_var_zu1_xy, id_var_zu_xz, id_var_zu_yz, id_var_zu_3d, &
731	id_var_zw_xy, id_var_zw_xz, id_var_zw_yz, id_var_zw_3d
732
733	INTEGER, DIMENSION(10) :: id_var_dospx, id_var_dospy, nc_precision
734	INTEGER, DIMENSION(20) :: id_var_prt
735	INTEGER, DIMENSION(dopr_norm_num) :: id_var_norm_dopr
736
737	INTEGER, DIMENSION(dopts_num,0:10) :: id_var_dopts
738	INTEGER, DIMENSION(0:1,100) :: id_var_do2d, id_var_do3d
739	INTEGER, DIMENSION(100,0:9) :: id_dim_z_pr, id_var_dopr, &
740	id_var_z_pr
741	INTEGER, DIMENSION(dots_num,0:9) :: id_var_dots
742
743
744	SAVE
745
746	END MODULE netcdf_control
747
748
749
750	MODULE particle_attributes
751
752	!------------------------------------------------------------------------------!
753	! Description:
754	! ------------
755	! Definition of variables used to compute particle transport
756	!------------------------------------------------------------------------------!
757
758	USE array_kind
759
760	CHARACTER (LEN=15) :: bc_par_lr = 'cyclic', bc_par_ns = 'cyclic', &
761	bc_par_b = 'reflect', bc_par_t = 'absorb'
762
763	#if defined( __parallel )
764	INTEGER :: mpi_particle_type
765	#endif
766	INTEGER :: ibc_par_lr, ibc_par_ns, ibc_par_b, ibc_par_t, &
767	iran_part = -1234567, maximum_number_of_particles = 1000, &
768	maximum_number_of_tailpoints = 100, &
769	maximum_number_of_tails = 0, &
770	number_of_initial_particles = 0, number_of_particles = 0, &
771	number_of_particle_groups = 1, number_of_tails = 0, &
772	number_of_initial_tails = 0, particles_per_point = 1, &
773	particle_file_count = 0, skip_particles_for_tail = 100, &
774	total_number_of_particles, total_number_of_tails = 0
775
776	INTEGER, PARAMETER :: max_number_of_particle_groups = 10
777
778	INTEGER, DIMENSION(:), ALLOCATABLE :: new_tail_id
779	INTEGER, DIMENSION(:,:,:), ALLOCATABLE :: prt_count, prt_start_index
780
781	LOGICAL :: particle_advection = .FALSE., random_start_position = .FALSE., &
782	read_particles_from_restartfile = .TRUE., &
783	uniform_particles = .TRUE., use_particle_tails = .FALSE., &
784	use_sgs_for_particles = .FALSE., &
785	vertical_particle_advection = .TRUE., &
786	write_particle_statistics = .FALSE.
787	LOGICAL, DIMENSION(:), ALLOCATABLE :: particle_mask, tail_mask
788
789	REAL :: c_0 = 3.0, dt_min_part = 0.0002, &
790	dt_write_particle_data = 9999999.9, dvrp_psize = 9999999.9, &
791	end_time_prel = 9999999.9, initial_weighting_factor = 1.0, &
792	maximum_tailpoint_age = 100000.0, &
793	minimum_tailpoint_distance = 0.0, &
794	particle_advection_start = 0.0, sgs_wfu_part = 0.3333333, &
795	sgs_wfv_part = 0.3333333, sgs_wfw_part = 0.3333333, &
796	time_write_particle_data = 0.0
797
798	REAL, DIMENSION(max_number_of_particle_groups) :: &
799	density_ratio = 9999999.9, pdx = 9999999.9, pdy = 9999999.9, &
800	pdz = 9999999.9, psb = 9999999.9, psl = 9999999.9, &
801	psn = 9999999.9, psr = 9999999.9, pss = 9999999.9, &
802	pst = 9999999.9, radius = 9999999.9
803
804	REAL, DIMENSION(:,:,:), ALLOCATABLE :: particle_tail_coordinates
805
806
807	TYPE particle_type
808	SEQUENCE
809	REAL :: age, dt_sum, dvrp_psize, e_m, origin_x, origin_y, origin_z, &
810	radius, speed_x, speed_x_sgs, speed_y, speed_y_sgs, &
811	speed_z, speed_z_sgs, weight_factor, x, y, z
812	INTEGER :: color, group, tailpoints, tail_id
813	END TYPE particle_type
814
815	TYPE(particle_type), DIMENSION(:), ALLOCATABLE :: initial_particles, &
816	particles
817
818	TYPE particle_groups_type
819	SEQUENCE
820	REAL :: density_ratio, radius, exp_arg, exp_term
821	END TYPE particle_groups_type
822
823	TYPE(particle_groups_type), DIMENSION(max_number_of_particle_groups) ::&
824	particle_groups
825
826	SAVE
827
828	END MODULE particle_attributes
829
830
831
832
833
834	MODULE pegrid
835
836	!------------------------------------------------------------------------------!
837	! Description:
838	! ------------
839	! Definition of variables which define processor topology and the exchange of
840	! ghost point layers. This modules must be placed in all routines which contain
841	! MPI-calls.
842	!------------------------------------------------------------------------------!
843
844	#if defined( __parallel )
845	#if defined( __lcmuk )
846	USE MPI
847	! INCLUDE "mpif.h"
848	#else
849	INCLUDE "mpif.h"
850	#endif
851	#endif
852	CHARACTER(LEN=5) :: myid_char = '', myid_char_14 = ''
853	INTEGER :: myid=0, npex = -1, npey = -1, numprocs = 1, &
854	tasks_per_node = -9999, threads_per_task = 1
855
856	#if defined( __parallel )
857	INTEGER :: comm1dx, comm1dy, comm2d, comm_palm, ierr, myidx, myidy, &
858	ndim = 2, ngp_y, ngp_yz_p, pleft, pnorth, pright, psouth, &
859	sendrecvcount_xy, sendrecvcount_yz, sendrecvcount_zx, &
860	sendrecvcount_zyd, sendrecvcount_yxd, &
861	type_x, type_x_int, type_xz_p, ibuf(12), pcoord(2), pdims(2), &
862	status(MPI_STATUS_SIZE)
863
864	INTEGER, DIMENSION(:), ALLOCATABLE :: ngp_yz, type_xz
865
866	LOGICAL :: reorder = .TRUE.
867	LOGICAL, DIMENSION(2) :: cyclic = (/ .TRUE. , .TRUE. /), &
868	remain_dims
869	#endif
870
871	SAVE
872
873	END MODULE pegrid
874
875
876
877
878	MODULE profil_parameter
879
880	!------------------------------------------------------------------------------!
881	! Description:
882	! ------------
883	! Definition of variables which control PROFIL-output
884	!------------------------------------------------------------------------------!
885
886	INTEGER, PARAMETER :: crmax = 100
887
888	CHARACTER (LEN=10), DIMENSION(100) :: dopr_label = ' '
889
890	CHARACTER (LEN=10), DIMENSION(crmax) :: cross_normalized_x = ' ', &
891	cross_normalized_y = ' '
892
893	CHARACTER (LEN=20), DIMENSION(20) :: cross_ts_profiles = &
894	(/ ' E E* ', ' dt ', &
895	' u* w* ', ' th* ', &
896	' umax vmax wmax ', ' div_old div_new ', &
897	' z_i_wpt z_i_pt ', ' w"pt"0 w"pt" wpt ', &
898	' pt(0) pt(zp) ', ' splux spluy spluz ', &
899	' L ', &
900	( ' ', i9 = 1, 9 ) /)
901
902	CHARACTER (LEN=40), DIMENSION(crmax) :: cross_xtext = &
903	(/ 'windspeed in ms>->1 ', &
904	'pot. temperature in K ', &
905	'heat flux in K ms>->1 ', &
906	'momentum flux in m>2s>2 ', &
907	'eddy diffusivity in m>2s>->1', &
908	'mixing length in m ', &
909	( ' ', i9 = 1, 94 ) /)
910
911	CHARACTER (LEN=100), DIMENSION(crmax) :: cross_profiles = &
912	(/ ' u v ', &
913	' pt ', &
914	' w"pt" wpt wptBC wpt wptBC ', &
915	' w"u" wu wu w"v" wv wv ', &
916	' km kh ', &
917	' l ', &
918	( ' ', i9 = 1, 94 ) /)
919
920	INTEGER :: profile_columns = 3, profile_rows = 2, profile_number = 0
921
922	INTEGER :: cross_linecolors(100,crmax) = 1, &
923	cross_linestyles(100,crmax) = 0, &
924	cross_profile_numbers(100,crmax) = 0, &
925	cross_pnc_local(crmax), cross_profile_number_count(crmax) = 0, &
926	cross_ts_numbers(crmax,crmax) = 0, &
927	cross_ts_number_count(crmax) = 0, dopr_crossindex(100) = 0, &
928	dopr_index(100) = 0, dopr_initial_index(100) = 0, &
929	dots_crossindex(100) = 0, dots_index(100) = 0, &
930	linecolors(10) = (/ 2, 3, 4, 5, 7, 8, 12, 15, 16, 23 /), &
931	linestyles(11) = (/ 0, 7, 3, 10, 4, 1, 9, 2, 5, 8, 6 /)
932
933
934	REAL :: cross_normx_factor(100,crmax) = 1.0, &
935	cross_normy_factor(100,crmax) = 1.0, &
936	cross_ts_uymax(20) = &
937	(/ 999.999, 999.999, 999.999, 999.999, 999.999, &
938	999.999, 999.999, 999.999, 999.999, 999.999, &
939	999.999, 999.999, 999.999, 999.999, 999.999, &
940	999.999, 999.999, 999.999, 999.999, 999.999 /),&
941	cross_ts_uymax_computed(20) = 999.999, &
942	cross_ts_uymin(20) = &
943	(/ 999.999, 999.999, 999.999, -5.000, 999.999, &
944	999.999, 0.000, 999.999, 999.999, 999.999, &
945	999.999, 999.999, 999.999, 999.999, 999.999, &
946	999.999, 999.999, 999.999, 999.999, 999.999 /),&
947	cross_ts_uymin_computed(20) = 999.999, &
948	cross_uxmax(crmax) = 0.0, cross_uxmax_computed(crmax) = -1.0, &
949	cross_uxmax_normalized(crmax) = 0.0, &
950	cross_uxmax_normalized_computed(crmax) = -1.0, &
951	cross_uxmin(crmax) = 0.0, cross_uxmin_computed(crmax) = 1.0, &
952	cross_uxmin_normalized(crmax) = 0.0, &
953	cross_uxmin_normalized_computed(crmax) = 1.0, &
954	cross_uymax(crmax), cross_uymin(crmax)
955
956	SAVE
957
958	END MODULE profil_parameter
959
960
961
962
963	MODULE spectrum
964
965	!------------------------------------------------------------------------------!
966	! Description:
967	! ------------
968	! Definition of quantities used for computing spectra
969	!------------------------------------------------------------------------------!
970
971	CHARACTER (LEN=6), DIMENSION(1:5) :: header_char = (/ 'PS(u) ', 'PS(v) ',&
972	'PS(w) ', 'PS(pt)', 'PS(q) ' /)
973	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x'
974	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' '
975	CHARACTER (LEN=25), DIMENSION(1:5) :: utext_char = &
976	(/ '-power spectrum of u ', &
977	'-power spectrum of v ', &
978	'-power spectrum of w ', &
979	'-power spectrum of ^1185 ', &
980	'-power spectrum of q ' /)
981	CHARACTER (LEN=39), DIMENSION(1:5) :: ytext_char = &
982	(/ 'k ^2236 ^2566^2569<u(k) in m>2s>->2 ', &
983	'k ^2236 ^2566^2569<v(k) in m>2s>->2 ', &
984	'k ^2236 ^2566^2569<w(k) in m>2s>->2 ', &
985	'k ^2236 ^2566^2569<^1185(k) in m>2s>->2', &
986	'k ^2236 ^2566^2569<q(k) in m>2s>->2 ' /)
987
988	INTEGER :: klist_x = 0, klist_y = 0, n_sp_x = 0, n_sp_y = 0
989
990	INTEGER :: comp_spectra_level(10) = 999999, &
991	lstyles(10) = (/ 0, 7, 3, 10, 1, 4, 9, 2, 6, 8 /), &
992	plot_spectra_level(10) = 999999
993
994	REAL :: time_to_start_sp = 0.0
995
996	SAVE
997
998	END MODULE spectrum
999
1000
1001
1002
1003	MODULE statistics
1004
1005	!------------------------------------------------------------------------------!
1006	! Description:
1007	! ------------
1008	! Definition of statistical quantities, e.g. global sums
1009	!------------------------------------------------------------------------------!
1010
1011	CHARACTER (LEN=40) :: region(0:9)
1012	INTEGER :: statistic_regions = 0, var_hom = 80, var_sum = 80
1013	INTEGER :: u_max_ijk(3), v_max_ijk(3), w_max_ijk(3)
1014	LOGICAL :: flow_statistics_called = .FALSE.
1015	REAL :: u_max, v_max, w_max
1016	REAL, DIMENSION(:), ALLOCATABLE :: sums_divnew_l, sums_divold_l
1017	REAL, DIMENSION(:,:), ALLOCATABLE :: sums, sums_wsts_bc_l
1018	REAL, DIMENSION(:,:,:), ALLOCATABLE :: hom_sum, rmask, spectrum_x, &
1019	spectrum_y, sums_l, sums_l_l, &
1020	sums_up_fraction_l
1021	REAL, DIMENSION(:,:,:,:), ALLOCATABLE :: hom
1022
1023	SAVE
1024
1025	END MODULE statistics
1026
1027
1028
1029
1030	MODULE transpose_indices
1031
1032	!------------------------------------------------------------------------------!
1033	! Description:
1034	! ------------
1035	! Definition of indices for transposed arrays
1036	!------------------------------------------------------------------------------!
1037
1038	INTEGER :: nxl_y, nxl_yd, nxl_z, nxr_y, nxr_ya, nxr_yd, nxr_yda, nxr_z, &
1039	nxr_za, nyn_x, nyn_xa, nyn_z, nyn_za, nys_x, nys_z, nzb_x, &
1040	nzb_y, nzb_yd, nzt_x, nzt_xa, nzt_y, nzt_ya, nzt_yd, nzt_yda
1041
1042
1043	SAVE
1044
1045	END MODULE transpose_indices

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