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source: palm/trunk/SOURCE/modules.f90 @ 29

Last change on this file since 29 was 19, checked in by raasch, 18 years ago
preliminary version of modified boundary conditions at top
Property svn:keywords set to `Id`
File size: 43.6 KB

Rev	Line
[1]	1	MODULE advection
	2
	3
	4	!------------------------------------------------------------------------------!
	5	! Actual revisions:
	6	! -----------------
[19]	7	! +constant_top_heatflux, top_heatflux, use_top_fluxes, +arrays for top fluxes,
	8	! +nzt_diff, default of bc_pt_t renamed "initial_gradient"
	9	! Bugfix: p is not a pointer
[1]	10	!
	11	! Former revisions:
	12	! -----------------
[3]	13	! $Id: modules.f90 19 2007-02-23 04:53:48Z raasch $
	14	! RCS Log replace by Id keyword, revision history cleaned up
	15	!
[1]	16	! Revision 1.95 2007/02/11 13:18:30 raasch
	17	! version 3.1b (last under RCS control)
	18	!
	19	! Revision 1.1 1997/07/24 11:21:26 raasch
	20	! Initial revision
	21	!
	22	!
	23	! Description:
	24	! ------------
	25	! Definition of variables for special advection schemes
	26	!------------------------------------------------------------------------------!
	27
	28	REAL :: spl_gamma_x, spl_gamma_y
	29
	30	REAL, DIMENSION(:), ALLOCATABLE :: aex, bex, dex, eex, spl_z_x, spl_z_y
	31	REAL, DIMENSION(:,:), ALLOCATABLE :: spl_tri_x, spl_tri_y, spl_tri_zu, &
	32	spl_tri_zw
	33
	34	SAVE
	35
	36	END MODULE advection
	37
	38
	39
	40
	41	MODULE array_kind
	42
	43	!------------------------------------------------------------------------------!
	44	! Description:
	45	! ------------
	46	! Definition of type parameters (used for the definition of single or double
	47	! precision variables)
	48	!------------------------------------------------------------------------------!
	49
	50	INTEGER, PARAMETER :: dpk = SELECTED_REAL_KIND( 12 ), &
	51	spk = SELECTED_REAL_KIND( 6 )
	52
	53	SAVE
	54
	55	END MODULE array_kind
	56
	57
	58
	59
	60	MODULE arrays_3d
	61
	62	!------------------------------------------------------------------------------!
	63	! Description:
	64	! ------------
	65	! Definition of all arrays defined on the computational grid
	66	!------------------------------------------------------------------------------!
	67
	68	USE array_kind
	69
	70	REAL, DIMENSION(:), ALLOCATABLE :: &
	71	ddzu, dd2zu, dzu, ddzw, dzw, km_damp_x, km_damp_y, l_grid, pt_init, &
	72	q_init, rdf, ug, u_init, uvmean_outflow, uvmean_outflow_l, vg, &
	73	v_init, zu, zw
	74
	75	REAL, DIMENSION(:,:), ALLOCATABLE :: &
	76	dzu_mg, dzw_mg, f1_mg, f2_mg, f3_mg, pt_slope_ref, qs, ts, us, z0
	77
	78	REAL, DIMENSION(:,:), ALLOCATABLE, TARGET :: &
[19]	79	qsws_1, qsws_2, qswst_1, qswst_2, rif_1, rif_2, shf_1, shf_2, &
	80	tswst_1, tswst_2, usws_1, usws_2, vsws_1, vsws_2
[1]	81
	82	REAL, DIMENSION(:,:), POINTER :: &
[19]	83	qsws, qsws_m, qswst, qswst_m, rif, rif_m, shf, shf_m, tswst, &
	84	tswst_m, usws, usws_m, vsws, vsws_m
[1]	85
	86	REAL, DIMENSION(:,:,:), ALLOCATABLE :: &
	87	d, diss, l_wall, tend
	88
	89	REAL, DIMENSION(:,:,:), ALLOCATABLE, TARGET :: &
	90	ql_v, ql_vp
	91
	92	REAL, DIMENSION(:,:,:), ALLOCATABLE, TARGET :: &
[19]	93	e_1, e_2, e_3, kh_1, kh_2, km_1, km_2, p, pt_1, pt_2, pt_3, q_1, &
	94	q_2, q_3, ql_1, ql_2, u_1, u_2, u_3, v_1, v_2, v_3, vpt_1, vpt_2, &
	95	w_1, w_2, w_3
[1]	96
	97	REAL, DIMENSION(:,:,:), POINTER :: &
[19]	98	e, e_m, e_p, kh, kh_m, km, km_m, pt, pt_m, pt_p, q, q_m, q_p, ql, &
[1]	99	ql_c, te_m, tpt_m, tq_m, tu_m, tv_m, tw_m, u, u_m, u_p, v, v_m, v_p, &
	100	vpt, vpt_m, w, w_m, w_p
	101
	102
	103	SAVE
	104
	105	END MODULE arrays_3d
	106
	107
	108
	109
	110	MODULE averaging
	111
	112	!------------------------------------------------------------------------------!
	113	! Description:
	114	! ------------
	115	! Definition of variables needed for time-averaging of 2d/3d data
	116	!------------------------------------------------------------------------------!
	117
	118	REAL, DIMENSION(:,:), ALLOCATABLE :: lwp_av, ts_av, us_av
	119
	120	REAL, DIMENSION(:,:,:), ALLOCATABLE, TARGET :: &
	121	e_av, p_av, pc_av, pr_av, pt_av, q_av, ql_av, ql_c_av, ql_v_av, &
	122	ql_vp_av, qv_av, s_av, u_av, v_av, vpt_av, w_av
	123
	124	END MODULE averaging
	125
	126
	127
	128
	129	MODULE cloud_parameters
	130
	131	!------------------------------------------------------------------------------!
	132	! Description:
	133	! ------------
	134	! Definition of variables and constants for cloud physics
	135	!------------------------------------------------------------------------------!
	136
	137	REAL :: b_cond, cp = 1005.0, diff_coeff_l = 0.23E-4, &
	138	effective_coll_efficiency, l_d_cp, l_d_r, l_d_rv, l_v = 2.5E+06, &
	139	mass_of_solute, molecular_weight_of_solute, &
	140	prec_time_const = 0.001, ql_crit = 0.0005, rho_l = 1.0E3, &
	141	r_d = 287.0, r_v = 461.51, rho_surface, &
	142	thermal_conductivity_l = 2.43E-2
	143
	144	REAL, DIMENSION(:), ALLOCATABLE :: hydro_press, pt_d_t, t_d_pt
	145
	146	SAVE
	147
	148	END MODULE cloud_parameters
	149
	150
	151
	152
	153	MODULE constants
	154
	155	!------------------------------------------------------------------------------!
	156	! Description:
	157	! ------------
	158	! Definition of general constants
	159	!------------------------------------------------------------------------------!
	160
	161	REAL :: pi = 3.141592654
	162
	163	SAVE
	164
	165	END MODULE constants
	166
	167
	168
	169
	170	MODULE control_parameters
	171
	172	!------------------------------------------------------------------------------!
	173	! Description:
	174	! ------------
	175	! Definition of parameters for program control
	176	!------------------------------------------------------------------------------!
	177
	178	TYPE plot_precision
	179	CHARACTER (LEN=6) :: variable
	180	INTEGER :: precision
	181	END TYPE plot_precision
	182
	183	TYPE(plot_precision), DIMENSION(100) :: plot_3d_precision = &
	184	(/ plot_precision( 'u', 2 ), plot_precision( 'v', 2 ), &
	185	plot_precision( 'w', 2 ), plot_precision( 'p', 5 ), &
	186	plot_precision( 'pt', 2 ), &
	187	( plot_precision( ' ', 1 ), i9 = 1,95 ) /)
	188
	189	TYPE file_status
	190	LOGICAL :: opened, opened_before
	191	END TYPE file_status
	192
	193	TYPE(file_status), DIMENSION(200) :: openfile = file_status(.FALSE.,.FALSE.)
	194
	195
	196	CHARACTER (LEN=1) :: cycle_mg = 'w', timestep_reason = ' '
	197	CHARACTER (LEN=5) :: write_binary = 'false'
	198	CHARACTER (LEN=6) :: grid_matching = 'match'
	199	CHARACTER (LEN=8) :: run_date, run_time
	200	CHARACTER (LEN=9) :: simulated_time_chr
	201	CHARACTER (LEN=12) :: version = 'PALM 3.1b'
	202	CHARACTER (LEN=16) :: momentum_advec = 'pw-scheme', &
	203	psolver = 'poisfft', &
	204	scalar_advec = 'pw-scheme'
	205	CHARACTER (LEN=20) :: bc_e_b = 'neumann', bc_lr = 'cyclic', &
[19]	206	bc_ns = 'cyclic', bc_p_b = 'neumann', &
	207	bc_p_t = 'dirichlet', bc_pt_b = 'dirichlet', &
	208	bc_pt_t = 'initial_gradient', &
[1]	209	bc_q_b = 'dirichlet', bc_q_t = 'neumann', &
	210	bc_s_b = 'dirichlet', bc_s_t = 'neumann', &
	211	bc_uv_b = 'dirichlet', bc_uv_t = 'dirichlet', &
	212	dissipation_1d = 'as_in_3d_model', &
	213	fft_method = 'system-specific', &
	214	mixing_length_1d = 'as_in_3d_model', &
	215	random_generator = 'numerical-recipes', &
	216	timestep_scheme = 'runge-kutta-3'
	217	CHARACTER (LEN=40) :: avs_data_file, topography = 'flat'
	218	CHARACTER (LEN=64) :: host
	219	CHARACTER (LEN=80) :: log_message, run_description_header, run_identifier
	220	CHARACTER (LEN=100) :: initializing_actions = ' '
	221
	222	CHARACTER (LEN=7), DIMENSION(100) :: do3d_comp_prec = ' '
	223	CHARACTER (LEN=10), DIMENSION(10) :: data_output_format = ' '
	224	CHARACTER (LEN=10), DIMENSION(100) :: data_output = ' ', &
	225	data_output_pr = ' ', &
	226	data_output_ts = ' ', &
	227	data_output_user = ' ', doav = ' '
	228	CHARACTER (LEN=20), DIMENSION(10) :: netcdf_precision = ' '
	229
	230	CHARACTER (LEN=10), DIMENSION(0:1,100) :: do2d = ' ', do3d = ' '
	231
	232	INTEGER :: average_count_pr = 0, average_count_sp = 0, &
	233	average_count_3d = 0, current_timestep_number = 0, &
	234	dist_range = 0, disturbance_level_ind_b, &
	235	disturbance_level_ind_t, doav_n = 0, dopr_n = 0, &
	236	dopr_time_count = 0, dopts_time_count = 0, &
	237	dosp_time_count = 0, dots_n = 0, dots_time_count = 0, &
	238	do2d_xy_n = 0, do2d_xz_n = 0, do2d_yz_n = 0, do3d_avs_n = 0, &
	239	dvrp_filecount = 0, dz_stretch_level_index, gamma_mg, &
	240	grid_level, ibc_e_b, ibc_p_b, ibc_p_t, ibc_pt_b, ibc_pt_t, &
	241	ibc_q_b, ibc_q_t, ibc_uv_b, ibc_uv_t, &
	242	inflow_disturbance_begin = -1, inflow_disturbance_end = -1, &
	243	intermediate_timestep_count, intermediate_timestep_count_max, &
	244	iran = -1234567, last_dt_change = 0, maximum_grid_level, &
	245	mgcycles = 0, mg_cycles = -1, mg_switch_to_pe0_level = 0, &
	246	ngsrb = 2, nsor = 20, nsor_ini = 100, n_sor, &
	247	normalizing_region = 0, nz_do1d, nz_do3d = -9999, &
	248	outflow_damping_width = -1, prt_time_count = 0, runnr = 0, &
	249	skip_do_avs = 0, timestep_count = 0
	250
	251	INTEGER :: dist_nxl(0:1), dist_nxr(0:1), dist_nyn(0:1), dist_nys(0:1), &
	252	do2d_no(0:1) = 0, do2d_xy_time_count(0:1), &
	253	do2d_xz_time_count(0:1), do2d_yz_time_count(0:1), &
	254	do3d_no(0:1) = 0, do3d_time_count(0:1), &
	255	pt_vertical_gradient_level_ind(10) = -9999, &
	256	q_vertical_gradient_level_ind(10) = -9999, &
	257	section(100,3), section_xy(100) = -9999, &
	258	section_xz(100) = -9999, section_yz(100) = -9999, &
	259	ug_vertical_gradient_level_ind(10) = -9999, &
	260	vg_vertical_gradient_level_ind(10) = -9999
	261
	262	INTEGER, DIMENSION(:), ALLOCATABLE :: grid_level_count
	263
	264	LOGICAL :: adjust_mixing_length = .FALSE., avs_output = .FALSE., &
	265	call_psolver_at_all_substeps = .TRUE., &
	266	cloud_droplets = .FALSE., cloud_physics = .FALSE., &
	267	conserve_volume_flow = .FALSE., constant_diffusion = .FALSE., &
[19]	268	constant_heatflux = .TRUE., constant_top_heatflux = .TRUE., &
	269	constant_waterflux = .TRUE., create_disturbances = .TRUE., &
	270	cut_spline_overshoot = .TRUE., &
[1]	271	data_output_2d_on_each_pe = .TRUE., do2d_at_begin = .FALSE., &
	272	do3d_at_begin = .FALSE., do3d_compress = .FALSE., &
	273	do_sum = .FALSE., dt_changed = .FALSE., dt_fixed = .FALSE., &
	274	disturbance_created = .FALSE., &
	275	first_call_advec_particles = .TRUE., &
[19]	276	force_print_header = .FALSE., galilei_transformation = .FALSE.,&
[1]	277	inflow_l = .FALSE., inflow_n = .FALSE., inflow_r = .FALSE., &
	278	inflow_s = .FALSE., iso2d_output = .FALSE., &
	279	mg_switch_to_pe0 = .FALSE., moisture = .FALSE., &
	280	netcdf_output = .FALSE., netcdf_64bit = .FALSE., &
	281	outflow_l = .FALSE., outflow_n = .FALSE., outflow_r = .FALSE., &
	282	outflow_s = .FALSE., passive_scalar = .FALSE., &
	283	prandtl_layer = .TRUE., precipitation = .FALSE., &
	284	profil_output = .FALSE., radiation = .FALSE., &
	285	random_heatflux = .FALSE., run_control_header = .FALSE., &
	286	sloping_surface = .FALSE., stop_dt = .FALSE., &
[19]	287	terminate_run = .FALSE., use_prior_plot1d_parameters = .FALSE.,&
	288	use_surface_fluxes = .FALSE., use_top_fluxes = .FALSE., &
	289	use_ug_for_galilei_tr = .TRUE., &
[1]	290	use_upstream_for_tke = .FALSE., wall_adjustment = .TRUE.
	291
	292	LOGICAL :: data_output_xy(0:1) = .FALSE., data_output_xz(0:1) = .FALSE., &
	293	data_output_yz(0:1) = .FALSE.
	294
	295	REAL :: advected_distance_x = 0.0, advected_distance_y = 0.0, &
	296	alpha_surface = 0.0, asselin_filter_factor = 0.1, &
	297	averaging_interval = 0.0, averaging_interval_pr = 9999999.9, &
	298	averaging_interval_sp = 9999999.9, bc_pt_t_val, bc_q_t_val, &
	299	building_height = 50.0, building_length_x = 50.0, &
	300	building_length_y = 50.0, building_wall_left = 9999999.9, &
	301	building_wall_south = 9999999.9, cfl_factor = -1.0, &
	302	cos_alpha_surface, disturbance_amplitude = 0.25, &
	303	disturbance_energy_limit = 0.01, disturbance_level_b = -1.0, &
	304	disturbance_level_t = -1.0, dt = -1.0, dt_averaging_input = 0.0, &
	305	dt_averaging_input_pr = 9999999.9, dt_data_output = 9999999.9, &
	306	dt_data_output_av = 9999999.9, dt_disturb = 9999999.9, &
	307	dt_dopr = 9999999.9, dt_dopr_listing = 9999999.9, &
	308	dt_dopts = 9999999.9, dt_dosp = 9999999.9, dt_dots = 9999999.9, &
	309	dt_do2d_xy = 9999999.9, dt_do2d_xz = 9999999.9, &
	310	dt_do2d_yz = 9999999.9, dt_do3d = 9999999.9, dt_dvrp = 9999999.9, &
	311	dt_max = 20.0, dt_prel = 9999999.9, dt_restart = 9999999.9, &
	312	dt_run_control = 60.0, dt_3d = -1.0, dz = -1.0, &
	313	dz_max = 9999999.9, dz_stretch_factor = 1.08, &
	314	dz_stretch_level = 100000.0, e_min = 0.0, end_time = 0.0, &
	315	f = 0.0, fs = 0.0, g = 9.81, kappa = 0.4, km_constant = -1.0, &
	316	km_damp_max = -1.0, long_filter_factor = 0.0, &
	317	maximum_cpu_time_allowed = 0.0, molecular_viscosity = 1.461E-5, &
	318	old_dt = 1.0E-10, omega = 7.29212E-5, omega_sor = 1.8, &
	319	overshoot_limit_e = 0.0, overshoot_limit_pt = 0.0, &
	320	overshoot_limit_u = 0.0, overshoot_limit_v = 0.0, &
	321	overshoot_limit_w = 0.0, particle_maximum_age = 9999999.9, &
	322	phi = 55.0, prandtl_number = 1.0, pt_slope_offset = 0.0, &
	323	pt_surface = 300.0, pt_surface_initial_change = 0.0, &
	324	q_surface = 0.0, q_surface_initial_change = 0.0, &
	325	rayleigh_damping_factor = -1.0, rayleigh_damping_height = -1.0, &
	326	residual_limit = 1.0E-4, restart_time = 9999999.9, rif_max = 1.0, &
	327	rif_min = -5.0, roughness_length = 0.1, simulated_time = 0.0, &
	328	simulated_time_at_begin, sin_alpha_surface, &
	329	skip_time_data_output = 0.0, skip_time_data_output_av = 9999999.9,&
	330	skip_time_dopr = 9999999.9, skip_time_dosp = 9999999.9, &
	331	skip_time_do2d_xy = 9999999.9, skip_time_do2d_xz = 9999999.9, &
	332	skip_time_do2d_yz = 9999999.9, skip_time_do3d = 9999999.9, &
	333	surface_heatflux = 9999999.9, surface_pressure = 1013.25, &
	334	surface_scalarflux = 0.0, surface_waterflux = 0.0, &
	335	s_surface = 0.0, s_surface_initial_change = 0.0, &
	336	termination_time_needed = -1.0, time_disturb = 0.0, &
	337	time_dopr = 0.0, time_dopr_av = 0.0, time_dopr_listing = 0.0, &
	338	time_dopts = 0.0, time_dosp = 0.0, time_dosp_av = 0.0, &
	339	time_dots = 0.0, time_do2d_xy = 0.0, time_do2d_xz = 0.0, &
	340	time_do2d_yz = 0.0, time_do3d = 0.0, time_do_av = 0.0, &
	341	time_do_sla = 0.0, time_dvrp = 0.0, time_prel = 0.0, &
	342	time_restart = 9999999.9, time_run_control = 0.0, &
[19]	343	top_heatflux = 9999999.9, ug_surface = 0.0, u_gtrans = 0.0, &
	344	ups_limit_e = 0.0, ups_limit_pt = 0.0, ups_limit_u = 0.0, &
	345	ups_limit_v = 0.0, ups_limit_w = 0.0, vg_surface = 0.0, &
	346	v_gtrans = 0.0, wall_adjustment_factor = 1.8, z_max_do1d = -1.0, &
[1]	347	z_max_do1d_normalized = -1.0, z_max_do2d = -1.0
	348
	349	REAL :: do2d_xy_last_time(0:1) = -1.0, do2d_xz_last_time(0:1) = -1.0, &
	350	do2d_yz_last_time(0:1) = -1.0, pt_vertical_gradient(10) = 0.0, &
	351	pt_vertical_gradient_level(10) = -1.0, &
	352	q_vertical_gradient(10) = 0.0, &
	353	q_vertical_gradient_level(10) = -1.0, &
	354	s_vertical_gradient(10) = 0.0, &
	355	s_vertical_gradient_level(10) = -1.0, threshold(20) = 0.0, &
	356	tsc(10) = (/ 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 /), &
	357	ug_vertical_gradient(10) = 0.0, &
	358	ug_vertical_gradient_level(10) = -1.0, &
	359	vg_vertical_gradient(10) = 0.0, &
	360	vg_vertical_gradient_level(10) = -1.0, &
	361	volume_flow(1:2) = 0.0, volume_flow_area(1:2) = 0.0, &
	362	volume_flow_initial(1:2) = 0.0, wall_heatflux(0:4) = 0.0
	363
	364
	365	SAVE
	366
	367	END MODULE control_parameters
	368
	369
	370
	371
	372	MODULE cpulog
	373
	374	!------------------------------------------------------------------------------!
	375	! Description:
	376	! ------------
	377	! Definition of variables for cpu-time measurements
	378	!------------------------------------------------------------------------------!
	379
	380	REAL :: initial_wallclock_time
	381
	382	TYPE logpoint
	383	REAL :: isum, ivect, mean, mtime, mtimevec, sum, vector
	384	INTEGER :: counts
	385	CHARACTER (LEN=20) :: place
	386	END TYPE logpoint
	387
	388	TYPE(logpoint), DIMENSION(100) :: log_point = logpoint( 0.0, 0.0, 0.0, &
	389	0.0, 0.0, 0.0, 0.0, 0, ' ' ), &
	390	log_point_s = logpoint( 0.0, 0.0, 0.0, &
	391	0.0, 0.0, 0.0, 0.0, 0, ' ' )
	392
	393	SAVE
	394
	395	END MODULE cpulog
	396
	397
	398
	399
	400	MODULE dvrp_variables
	401
	402	!------------------------------------------------------------------------------!
	403	! Description:
	404	! ------------
	405	! Definition of variables used with dvrp-software
	406	!------------------------------------------------------------------------------!
	407
	408	CHARACTER (LEN=10) :: dvrp_output = 'rtsp'
	409
	410	CHARACTER (LEN=20), DIMENSION(10) :: mode_dvrp = &
	411	(/ ( ' ', i9 = 1,10 ) /)
	412
	413	CHARACTER (LEN=80) :: dvrp_directory = 'default', &
	414	dvrp_file = 'default', &
	415	dvrp_host = 'origin.rvs.uni-hannover.de', &
	416	dvrp_password = '********', &
	417	dvrp_username = ' '
	418
	419	INTEGER :: dvrp_colourtable_entries = 4, islice_dvrp, nx_dvrp, ny_dvrp, &
	420	nz_dvrp
	421
	422	INTEGER, DIMENSION(10) :: slicer_position_dvrp
	423
	424	LOGICAL :: cyclic_dvrp = .FALSE., lock_steering_update = .FALSE., &
	425	use_seperate_pe_for_dvrp_output = .FALSE.
	426
	427	REAL :: superelevation = 1.0, superelevation_x = 1.0, &
	428	superelevation_y = 1.0
	429
	430	#if defined( __decalpha )
	431	REAL, DIMENSION(2,10) :: slicer_range_limits_dvrp = (/ &
	432	-1.0, 1.0, -1.0, 1.0, -1.0, 1.0, -1.0, 1.0, &
	433	-1.0, 1.0, -1.0, 1.0, -1.0, 1.0, -1.0, 1.0, &
	434	-1.0, 1.0, -1.0, 1.0 /)
	435
	436	REAL, DIMENSION(2,100) :: interval_values_dvrp, interval_h_dvrp = &
	437	(/ 270.0, 225.0, 225.0, 180.0, 70.0, 25.0, &
	438	25.0, -25.0, ( 0.0, i9 = 1, 192 ) /), &
	439	interval_l_dvrp = 0.5, interval_s_dvrp = 1.0, &
	440	interval_a_dvrp = 0.0
	441	#else
	442	REAL, DIMENSION(2,10) :: slicer_range_limits_dvrp
	443
	444	REAL, DIMENSION(2,100) :: interval_values_dvrp, interval_h_dvrp, &
	445	interval_l_dvrp = 0.5, interval_s_dvrp = 1.0, &
	446	interval_a_dvrp = 0.0
	447
	448	DATA slicer_range_limits_dvrp / -1.0, 1.0, -1.0, 1.0, -1.0, 1.0, &
	449	-1.0, 1.0, -1.0, 1.0, -1.0, 1.0, &
	450	-1.0, 1.0, -1.0, 1.0, -1.0, 1.0, &
	451	-1.0, 1.0 /
	452
	453	DATA interval_h_dvrp / 270.0, 225.0, 225.0, 180.0, 70.0, 25.0, &
	454	25.0, -25.0, 192 * 0.0 /
	455	#endif
	456
	457	REAL, DIMENSION(:), ALLOCATABLE :: xcoor_dvrp, ycoor_dvrp, zcoor_dvrp
	458
	459	TYPE steering
	460	CHARACTER (LEN=20) :: name
	461	REAL :: min, max
	462	INTEGER :: imin, imax
	463	END TYPE steering
	464
	465	TYPE(steering), DIMENSION(:), ALLOCATABLE :: steering_dvrp
	466
	467	SAVE
	468
	469	END MODULE dvrp_variables
	470
	471
	472
	473
	474	MODULE grid_variables
	475
	476	!------------------------------------------------------------------------------!
	477	! Description:
	478	! ------------
	479	! Definition of grid spacings
	480	!------------------------------------------------------------------------------!
	481
	482	REAL :: ddx, ddx2, dx = 1.0, dx2, ddy, ddy2, dy = 1.0, dy2
	483
	484	REAL, DIMENSION(:), ALLOCATABLE :: ddx2_mg, ddy2_mg
	485
	486	REAL, DIMENSION(:,:), ALLOCATABLE :: fwxm, fwxp, fwym, fwyp, fxm, fxp, &
	487	fym, fyp, wall_e_x, wall_e_y, &
	488	wall_u, wall_v, wall_w_x, wall_w_y
	489
	490	SAVE
	491
	492	END MODULE grid_variables
	493
	494
	495
	496
	497	MODULE indices
	498
	499	!------------------------------------------------------------------------------!
	500	! Description:
	501	! ------------
	502	! Definition of array bounds and number of gridpoints
	503	!------------------------------------------------------------------------------!
	504
	505	INTEGER :: ngp_sums, nnx, nx = 0, nxa, nxl, nxr, nxra, nny, ny = 0, nya, &
	506	nyn, nyna, nys, nnz, nz = 0, nza, nzb, nzb_diff, nzt, nzta, &
[19]	507	nzt_diff, uxrp = 0, vynp = 0
[1]	508
	509	INTEGER, DIMENSION(:), ALLOCATABLE :: &
	510	ngp_2dh, ngp_3d, ngp_3d_inner, &
	511	nnx_pe, nny_pe, nxl_mg, nxr_mg, nyn_mg, nys_mg, nzt_mg
	512
	513	INTEGER, DIMENSION(:,:), ALLOCATABLE :: &
	514	ngp_2dh_outer, mg_loc_ind, nzb_diff_s_inner, nzb_diff_s_outer, &
	515	nzb_diff_u, nzb_diff_v, nzb_inner, nzb_outer, nzb_s_inner, &
	516	nzb_s_outer, nzb_u_inner, nzb_u_outer, nzb_v_inner, &
	517	nzb_v_outer, nzb_w_inner, nzb_w_outer, nzb_2d
	518
	519	SAVE
	520
	521	END MODULE indices
	522
	523
	524
	525
	526	MODULE interfaces
	527
	528	!------------------------------------------------------------------------------!
	529	! Description:
	530	! ------------
	531	! Interfaces for special subroutines which use optional parameters
	532	!------------------------------------------------------------------------------!
	533
	534	INTERFACE
	535
	536	SUBROUTINE cpu_log( log_event, place, modus, barrierwait )
	537
	538	USE cpulog
	539
	540	CHARACTER (LEN=*) :: modus, place
	541	CHARACTER (LEN=*), OPTIONAL :: barrierwait
	542	TYPE(logpoint) :: log_event
	543
	544	END SUBROUTINE cpu_log
	545
	546	END INTERFACE
	547
	548
	549
	550	INTERFACE
	551
	552	SUBROUTINE global_min_max ( i1, i2, j1, j2, k1, k2, feld, mode, wert, &
	553	wert_ijk, wert1, wert1_ijk )
	554	CHARACTER (LEN=*), INTENT(IN) :: mode
	555	INTEGER, INTENT(IN) :: i1, i2, j1, j2, k1, k2
	556	INTEGER :: wert_ijk(3)
	557	INTEGER, OPTIONAL :: wert1_ijk(3)
	558	REAL :: wert
	559	REAL, OPTIONAL :: wert1
	560	REAL, INTENT(IN) :: feld(i1:i2,j1:j2,k1:k2)
	561
	562	END SUBROUTINE global_min_max
	563
	564	END INTERFACE
	565
	566	SAVE
	567
	568	END MODULE interfaces
	569
	570
	571
	572	MODULE pointer_interfaces
	573
	574	!------------------------------------------------------------------------------!
	575	! Description:
	576	! ------------
	577	! Interfaces for subroutines with pointer arguments called in
	578	! prognostic_equations
	579	!------------------------------------------------------------------------------!
	580
	581	INTERFACE
	582
	583	SUBROUTINE advec_s_bc( sk, sk_char )
	584
	585	CHARACTER (LEN=*), INTENT(IN) :: sk_char
	586	REAL, DIMENSION(:,:,:), POINTER :: sk
	587
	588	END SUBROUTINE advec_s_bc
	589
	590	END INTERFACE
	591
	592
	593	SAVE
	594
	595	END MODULE pointer_interfaces
	596
	597
	598
	599
	600	MODULE model_1d
	601
	602	!------------------------------------------------------------------------------!
	603	! Description:
	604	! ------------
	605	! Definition of variables for the 1D-model
	606	!------------------------------------------------------------------------------!
	607
	608	INTEGER :: current_timestep_number_1d = 0, damp_level_ind_1d, &
	609	last_dt_change_1d = 0
	610
	611	LOGICAL :: run_control_header_1d = .FALSE., stop_dt_1d = .FALSE.
	612
	613	REAL :: damp_level_1d = -1.0, dt_1d = 60.0, dt_max_1d = 300.0, &
	614	dt_pr_1d = 9999999.9, dt_run_control_1d = 60.0, &
	615	end_time_1d = 864000.0, old_dt_1d = 1.0E-10, &
	616	qs1d, simulated_time_1d = 0.0, time_pr_1d = 0.0, &
	617	time_run_control_1d = 0.0, ts1d, us1d, usws1d, usws1d_m, &
	618	vsws1d, vsws1d_m, z01d
	619
	620
	621	REAL, DIMENSION(:), ALLOCATABLE :: e1d, e1d_m, e1d_p, kh1d, kh1d_m, km1d, &
	622	km1d_m, l_black, l1d, l1d_m, rif1d, &
	623	te_e, te_em, te_u, te_um, te_v, te_vm, &
	624	u1d, u1d_m, u1d_p, v1d, v1d_m, v1d_p
	625
	626	SAVE
	627
	628	END MODULE model_1d
	629
	630
	631
	632
	633	MODULE netcdf_control
	634
	635	!------------------------------------------------------------------------------!
	636	! Description:
	637	! ------------
	638	! Definition of parameters and variables for netcdf control.
	639	!------------------------------------------------------------------------------!
	640
	641	#if defined( __netcdf )
	642	USE netcdf
	643	#endif
	644
	645	INTEGER, PARAMETER :: dopr_norm_num = 7, dopts_num = 26, dots_num = 22, &
	646	replace_num = 6
	647
	648	CHARACTER, DIMENSION( replace_num ) :: &
	649	replace_char = (/ '''', '"', '*', '/', '(', ')' /), &
	650	replace_by = (/ 'p' , 'p', 's', 'o', '_', '_' /)
	651
	652	CHARACTER (LEN=6), DIMENSION(dopr_norm_num) :: dopr_norm_names = &
	653	(/ 'wpt0 ', 'ws2 ', 'tsw2 ', 'ws3 ', 'ws2tsw', 'wstsw2', &
	654	'z_i ' /)
	655
	656	CHARACTER (LEN=6), DIMENSION(dopr_norm_num) :: dopr_norm_longnames = &
	657	(/ 'wpt0 ', 'w2 ', 'tw2 ', 'w3 ', 'w2tw', 'wt*w2', &
	658	'z_i ' /)
	659
	660	CHARACTER (LEN=7), DIMENSION(dopts_num) :: dopts_label = &
	661	(/ 'tnpt ', 'x_ ', 'y_ ', 'z_ ', 'z_abs ', 'u ', &
	662	'v ', 'w ', 'u" ', 'v" ', 'w" ', 'npt_up ', &
	663	'w_up ', 'w_down ', 'npt_max', 'npt_min', 'x2 ', 'y2 ', &
	664	'z2 ', 'u2 ', 'v2 ', 'w2 ', 'u"2 ', 'v"2 ', &
	665	'w"2 ', 'npt*2 ' /)
	666
	667	CHARACTER (LEN=7), DIMENSION(dopts_num) :: dopts_unit = &
	668	(/ 'number ', 'm ', 'm ', 'm ', 'm ', 'm/s ', &
	669	'm/s ', 'm/s ', 'm/s ', 'm/s ', 'm/s ', 'number ', &
	670	'm/s ', 'm/s ', 'number ', 'number ', 'm2 ', 'm2 ', &
	671	'm2 ', 'm2/s2 ', 'm2/s2 ', 'm2/s2 ', 'm2/s2 ', 'm2/s2 ', &
	672	'm2/s2 ', 'number2' /)
	673
	674	CHARACTER (LEN=7), DIMENSION(dots_num) :: dots_label = &
	675	(/ 'E ', 'E* ', 'dt ', 'u* ', 'th* ', 'umax ', &
	676	'vmax ', 'wmax ', 'div_new', 'div_old', 'z_i_wpt', 'z_i_pt ', &
	677	'w* ', 'w"pt"0 ', 'w"pt" ', 'wpt ', 'pt(0) ', 'pt(zp) ', &
	678	'splptx ', 'splpty ', 'splptz ', 'mo_L ' /)
	679
	680	CHARACTER (LEN=7), DIMENSION(dots_num) :: dots_unit = &
	681	(/ 'm2/s2 ', 'm2/s2 ', 's ', 'm/s ', 'K ', 'm/s ', &
	682	'm/s ', 'm/s ', 's-1 ', 's-1 ', 'm ', 'm ', &
	683	'm/s ', 'K m/s ', 'K m/s ', 'k m/s ', 'K ', 'K ', &
	684	'% ', '% ', '% ', 'm ' /)
	685
	686	CHARACTER (LEN=7), DIMENSION(100) :: dopr_unit = 'unknown'
	687
	688	CHARACTER (LEN=7), DIMENSION(0:1,100) :: do2d_unit, do3d_unit
	689
	690	CHARACTER (LEN=16), DIMENSION(25) :: prt_var_names = &
	691	(/ 'pt_age ', 'pt_dvrp_size ', 'pt_origin_x ', &
	692	'pt_origin_y ', 'pt_origin_z ', 'pt_radius ', &
	693	'pt_speed_x ', 'pt_speed_y ', 'pt_speed_z ', &
	694	'pt_weight_factor', 'pt_x ', 'pt_y ', &
	695	'pt_z ', 'pt_color ', 'pt_group ', &
	696	'pt_tailpoints ', 'pt_tail_id ', 'pt_density_ratio', &
	697	'pt_exp_arg ', 'pt_exp_term ', 'not_used ', &
	698	'not_used ', 'not_used ', 'not_used ', &
	699	'not_used ' /)
	700
	701	CHARACTER (LEN=16), DIMENSION(25) :: prt_var_units = &
	702	(/ 'seconds ', 'meters ', 'meters ', &
	703	'meters ', 'meters ', 'meters ', &
	704	'm/s ', 'm/s ', 'm/s ', &
	705	'factor ', 'meters ', 'meters ', &
	706	'meters ', 'none ', 'none ', &
	707	'none ', 'none ', 'ratio ', &
	708	'none ', 'none ', 'not_used ', &
	709	'not_used ', 'not_used ', 'not_used ', &
	710	'not_used ' /)
	711
	712	INTEGER :: id_dim_prtnum, id_dim_time_pr, id_dim_time_prt, &
	713	id_dim_time_pts, id_dim_time_sp, id_dim_time_ts, id_dim_x_sp, &
	714	id_dim_y_sp, id_dim_zu_sp, id_dim_zw_sp, id_set_pr, &
	715	id_set_prt, id_set_pts, id_set_sp, id_set_ts, id_var_prtnum, &
	716	id_var_rnop_prt, id_var_time_pr, id_var_time_prt, &
	717	id_var_time_pts, id_var_time_sp, id_var_time_ts, id_var_x_sp, &
	718	id_var_y_sp, id_var_zu_sp, id_var_zw_sp, nc_stat
	719
	720	INTEGER, DIMENSION(0:1) :: id_dim_time_xy, id_dim_time_xz, &
	721	id_dim_time_yz, id_dim_time_3d, id_dim_x_xy, id_dim_xu_xy, &
	722	id_dim_x_xz, id_dim_xu_xz, id_dim_x_yz, id_dim_xu_yz, &
	723	id_dim_x_3d, id_dim_xu_3d, id_dim_y_xy, id_dim_yv_xy, &
	724	id_dim_y_xz, id_dim_yv_xz, id_dim_y_yz, id_dim_yv_yz, &
	725	id_dim_y_3d, id_dim_yv_3d, id_dim_zu_xy, id_dim_zu1_xy, &
	726	id_dim_zu_xz, id_dim_zu_yz, id_dim_zu_3d, id_dim_zw_xy, &
	727	id_dim_zw_xz, id_dim_zw_yz, id_dim_zw_3d, id_set_xy, &
	728	id_set_xz, id_set_yz, id_set_3d, id_var_ind_x_yz, &
	729	id_var_ind_y_xz, id_var_ind_z_xy, id_var_time_xy, &
	730	id_var_time_xz, id_var_time_yz, id_var_time_3d, id_var_x_xy, &
	731	id_var_xu_xy, id_var_x_xz, id_var_xu_xz, id_var_x_yz, &
	732	id_var_xu_yz, id_var_x_3d, id_var_xu_3d, id_var_y_xy, &
	733	id_var_yv_xy, id_var_y_xz, id_var_yv_xz, id_var_y_yz, &
	734	id_var_yv_yz, id_var_y_3d, id_var_yv_3d, id_var_zu_xy, &
	735	id_var_zu1_xy, id_var_zu_xz, id_var_zu_yz, id_var_zu_3d, &
	736	id_var_zw_xy, id_var_zw_xz, id_var_zw_yz, id_var_zw_3d
	737
	738	INTEGER, DIMENSION(10) :: id_var_dospx, id_var_dospy, nc_precision
	739	INTEGER, DIMENSION(20) :: id_var_prt
	740	INTEGER, DIMENSION(dopr_norm_num) :: id_var_norm_dopr
	741
	742	INTEGER, DIMENSION(dopts_num,0:10) :: id_var_dopts
	743	INTEGER, DIMENSION(0:1,100) :: id_var_do2d, id_var_do3d
	744	INTEGER, DIMENSION(100,0:9) :: id_dim_z_pr, id_var_dopr, &
	745	id_var_z_pr
	746	INTEGER, DIMENSION(dots_num,0:9) :: id_var_dots
	747
	748
	749	SAVE
	750
	751	END MODULE netcdf_control
	752
	753
	754
	755	MODULE particle_attributes
	756
	757	!------------------------------------------------------------------------------!
	758	! Description:
	759	! ------------
	760	! Definition of variables used to compute particle transport
	761	!------------------------------------------------------------------------------!
	762
	763	USE array_kind
	764
	765	CHARACTER (LEN=15) :: bc_par_lr = 'cyclic', bc_par_ns = 'cyclic', &
	766	bc_par_b = 'reflect', bc_par_t = 'absorb'
	767
	768	#if defined( __parallel )
	769	INTEGER :: mpi_particle_type
	770	#endif
	771	INTEGER :: ibc_par_lr, ibc_par_ns, ibc_par_b, ibc_par_t, &
	772	iran_part = -1234567, maximum_number_of_particles = 1000, &
	773	maximum_number_of_tailpoints = 100, &
	774	maximum_number_of_tails = 0, &
	775	number_of_initial_particles = 0, number_of_particles = 0, &
	776	number_of_particle_groups = 1, number_of_tails = 0, &
	777	number_of_initial_tails = 0, particles_per_point = 1, &
	778	particle_file_count = 0, skip_particles_for_tail = 100, &
	779	total_number_of_particles, total_number_of_tails = 0
	780
	781	INTEGER, PARAMETER :: max_number_of_particle_groups = 10
	782
	783	INTEGER, DIMENSION(:), ALLOCATABLE :: new_tail_id
	784	INTEGER, DIMENSION(:,:,:), ALLOCATABLE :: prt_count, prt_start_index
	785
	786	LOGICAL :: particle_advection = .FALSE., random_start_position = .FALSE., &
	787	read_particles_from_restartfile = .TRUE., &
	788	uniform_particles = .TRUE., use_particle_tails = .FALSE., &
	789	use_sgs_for_particles = .FALSE., &
	790	vertical_particle_advection = .TRUE., &
	791	write_particle_statistics = .FALSE.
	792	LOGICAL, DIMENSION(:), ALLOCATABLE :: particle_mask, tail_mask
	793
	794	REAL :: c_0 = 3.0, dt_min_part = 0.0002, &
	795	dt_write_particle_data = 9999999.9, dvrp_psize = 9999999.9, &
	796	end_time_prel = 9999999.9, initial_weighting_factor = 1.0, &
	797	maximum_tailpoint_age = 100000.0, &
	798	minimum_tailpoint_distance = 0.0, &
	799	particle_advection_start = 0.0, sgs_wfu_part = 0.3333333, &
	800	sgs_wfv_part = 0.3333333, sgs_wfw_part = 0.3333333, &
	801	time_write_particle_data = 0.0
	802
	803	REAL, DIMENSION(max_number_of_particle_groups) :: &
	804	density_ratio = 9999999.9, pdx = 9999999.9, pdy = 9999999.9, &
	805	pdz = 9999999.9, psb = 9999999.9, psl = 9999999.9, &
	806	psn = 9999999.9, psr = 9999999.9, pss = 9999999.9, &
	807	pst = 9999999.9, radius = 9999999.9
	808
	809	REAL, DIMENSION(:,:,:), ALLOCATABLE :: particle_tail_coordinates
	810
	811
	812	TYPE particle_type
	813	SEQUENCE
	814	REAL :: age, dt_sum, dvrp_psize, e_m, origin_x, origin_y, origin_z, &
	815	radius, speed_x, speed_x_sgs, speed_y, speed_y_sgs, &
	816	speed_z, speed_z_sgs, weight_factor, x, y, z
	817	INTEGER :: color, group, tailpoints, tail_id
	818	END TYPE particle_type
	819
	820	TYPE(particle_type), DIMENSION(:), ALLOCATABLE :: initial_particles, &
	821	particles
	822
	823	TYPE particle_groups_type
	824	SEQUENCE
	825	REAL :: density_ratio, radius, exp_arg, exp_term
	826	END TYPE particle_groups_type
	827
	828	TYPE(particle_groups_type), DIMENSION(max_number_of_particle_groups) ::&
	829	particle_groups
	830
	831	SAVE
	832
	833	END MODULE particle_attributes
	834
	835
	836
	837
	838
	839	MODULE pegrid
	840
	841	!------------------------------------------------------------------------------!
	842	! Description:
	843	! ------------
	844	! Definition of variables which define processor topology and the exchange of
	845	! ghost point layers. This modules must be placed in all routines which contain
	846	! MPI-calls.
	847	!------------------------------------------------------------------------------!
	848
	849	#if defined( __parallel )
	850	#if defined( __lcmuk )
	851	USE MPI
	852	! INCLUDE "mpif.h"
	853	#else
	854	INCLUDE "mpif.h"
	855	#endif
	856	#endif
	857	CHARACTER(LEN=5) :: myid_char = '', myid_char_14 = ''
	858	INTEGER :: myid=0, npex = -1, npey = -1, numprocs = 1, &
	859	tasks_per_node = -9999, threads_per_task = 1
	860
	861	#if defined( __parallel )
	862	INTEGER :: comm1dx, comm1dy, comm2d, comm_palm, ierr, myidx, myidy, &
	863	ndim = 2, ngp_y, ngp_yz_p, pleft, pnorth, pright, psouth, &
	864	sendrecvcount_xy, sendrecvcount_yz, sendrecvcount_zx, &
	865	sendrecvcount_zyd, sendrecvcount_yxd, &
	866	type_x, type_x_int, type_xz_p, ibuf(12), pcoord(2), pdims(2), &
	867	status(MPI_STATUS_SIZE)
	868
	869	INTEGER, DIMENSION(:), ALLOCATABLE :: ngp_yz, type_xz
	870
	871	LOGICAL :: reorder = .TRUE.
	872	LOGICAL, DIMENSION(2) :: cyclic = (/ .TRUE. , .TRUE. /), &
	873	remain_dims
	874	#endif
	875
	876	SAVE
	877
	878	END MODULE pegrid
	879
	880
	881
	882
	883	MODULE profil_parameter
	884
	885	!------------------------------------------------------------------------------!
	886	! Description:
	887	! ------------
	888	! Definition of variables which control PROFIL-output
	889	!------------------------------------------------------------------------------!
	890
	891	INTEGER, PARAMETER :: crmax = 100
	892
	893	CHARACTER (LEN=10), DIMENSION(100) :: dopr_label = ' '
	894
	895	CHARACTER (LEN=10), DIMENSION(crmax) :: cross_normalized_x = ' ', &
	896	cross_normalized_y = ' '
	897
	898	CHARACTER (LEN=20), DIMENSION(20) :: cross_ts_profiles = &
	899	(/ ' E E* ', ' dt ', &
	900	' u* w* ', ' th* ', &
	901	' umax vmax wmax ', ' div_old div_new ', &
	902	' z_i_wpt z_i_pt ', ' w"pt"0 w"pt" wpt ', &
	903	' pt(0) pt(zp) ', ' splux spluy spluz ', &
	904	' L ', &
	905	( ' ', i9 = 1, 9 ) /)
	906
	907	CHARACTER (LEN=40), DIMENSION(crmax) :: cross_xtext = &
	908	(/ 'windspeed in ms>->1 ', &
	909	'pot. temperature in K ', &
	910	'heat flux in K ms>->1 ', &
	911	'momentum flux in m>2s>2 ', &
	912	'eddy diffusivity in m>2s>->1', &
	913	'mixing length in m ', &
	914	( ' ', i9 = 1, 94 ) /)
	915
	916	CHARACTER (LEN=100), DIMENSION(crmax) :: cross_profiles = &
	917	(/ ' u v ', &
	918	' pt ', &
	919	' w"pt" wpt wptBC wpt wptBC ', &
	920	' w"u" wu wu w"v" wv wv ', &
	921	' km kh ', &
	922	' l ', &
	923	( ' ', i9 = 1, 94 ) /)
	924
	925	INTEGER :: profile_columns = 3, profile_rows = 2, profile_number = 0
	926
	927	INTEGER :: cross_linecolors(100,crmax) = 1, &
	928	cross_linestyles(100,crmax) = 0, &
	929	cross_profile_numbers(100,crmax) = 0, &
	930	cross_pnc_local(crmax), cross_profile_number_count(crmax) = 0, &
	931	cross_ts_numbers(crmax,crmax) = 0, &
	932	cross_ts_number_count(crmax) = 0, dopr_crossindex(100) = 0, &
	933	dopr_index(100) = 0, dopr_initial_index(100) = 0, &
	934	dots_crossindex(100) = 0, dots_index(100) = 0, &
	935	linecolors(10) = (/ 2, 3, 4, 5, 7, 8, 12, 15, 16, 23 /), &
	936	linestyles(11) = (/ 0, 7, 3, 10, 4, 1, 9, 2, 5, 8, 6 /)
	937
	938
	939	REAL :: cross_normx_factor(100,crmax) = 1.0, &
	940	cross_normy_factor(100,crmax) = 1.0, &
	941	cross_ts_uymax(20) = &
	942	(/ 999.999, 999.999, 999.999, 999.999, 999.999, &
	943	999.999, 999.999, 999.999, 999.999, 999.999, &
	944	999.999, 999.999, 999.999, 999.999, 999.999, &
	945	999.999, 999.999, 999.999, 999.999, 999.999 /),&
	946	cross_ts_uymax_computed(20) = 999.999, &
	947	cross_ts_uymin(20) = &
	948	(/ 999.999, 999.999, 999.999, -5.000, 999.999, &
	949	999.999, 0.000, 999.999, 999.999, 999.999, &
	950	999.999, 999.999, 999.999, 999.999, 999.999, &
	951	999.999, 999.999, 999.999, 999.999, 999.999 /),&
	952	cross_ts_uymin_computed(20) = 999.999, &
	953	cross_uxmax(crmax) = 0.0, cross_uxmax_computed(crmax) = -1.0, &
	954	cross_uxmax_normalized(crmax) = 0.0, &
	955	cross_uxmax_normalized_computed(crmax) = -1.0, &
	956	cross_uxmin(crmax) = 0.0, cross_uxmin_computed(crmax) = 1.0, &
	957	cross_uxmin_normalized(crmax) = 0.0, &
	958	cross_uxmin_normalized_computed(crmax) = 1.0, &
	959	cross_uymax(crmax), cross_uymin(crmax)
	960
	961	SAVE
	962
	963	END MODULE profil_parameter
	964
	965
	966
	967
	968	MODULE spectrum
	969
	970	!------------------------------------------------------------------------------!
	971	! Description:
	972	! ------------
	973	! Definition of quantities used for computing spectra
	974	!------------------------------------------------------------------------------!
	975
	976	CHARACTER (LEN=6), DIMENSION(1:5) :: header_char = (/ 'PS(u) ', 'PS(v) ',&
	977	'PS(w) ', 'PS(pt)', 'PS(q) ' /)
	978	CHARACTER (LEN=2), DIMENSION(10) :: spectra_direction = 'x'
	979	CHARACTER (LEN=10), DIMENSION(10) :: data_output_sp = ' '
	980	CHARACTER (LEN=25), DIMENSION(1:5) :: utext_char = &
	981	(/ '-power spectrum of u ', &
	982	'-power spectrum of v ', &
	983	'-power spectrum of w ', &
	984	'-power spectrum of ^1185 ', &
	985	'-power spectrum of q ' /)
	986	CHARACTER (LEN=39), DIMENSION(1:5) :: ytext_char = &
	987	(/ 'k ^2236 ^2566^2569<u(k) in m>2s>->2 ', &
	988	'k ^2236 ^2566^2569<v(k) in m>2s>->2 ', &
	989	'k ^2236 ^2566^2569<w(k) in m>2s>->2 ', &
	990	'k ^2236 ^2566^2569<^1185(k) in m>2s>->2', &
	991	'k ^2236 ^2566^2569<q(k) in m>2s>->2 ' /)
	992
	993	INTEGER :: klist_x = 0, klist_y = 0, n_sp_x = 0, n_sp_y = 0
	994
	995	INTEGER :: comp_spectra_level(10) = 999999, &
	996	lstyles(10) = (/ 0, 7, 3, 10, 1, 4, 9, 2, 6, 8 /), &
	997	plot_spectra_level(10) = 999999
	998
	999	REAL :: time_to_start_sp = 0.0
	1000
	1001	SAVE
	1002
	1003	END MODULE spectrum
	1004
	1005
	1006
	1007
	1008	MODULE statistics
	1009
	1010	!------------------------------------------------------------------------------!
	1011	! Description:
	1012	! ------------
	1013	! Definition of statistical quantities, e.g. global sums
	1014	!------------------------------------------------------------------------------!
	1015
	1016	CHARACTER (LEN=40) :: region(0:9)
	1017	INTEGER :: statistic_regions = 0, var_hom = 80, var_sum = 80
	1018	INTEGER :: u_max_ijk(3), v_max_ijk(3), w_max_ijk(3)
	1019	LOGICAL :: flow_statistics_called = .FALSE.
	1020	REAL :: u_max, v_max, w_max
	1021	REAL, DIMENSION(:), ALLOCATABLE :: sums_divnew_l, sums_divold_l
	1022	REAL, DIMENSION(:,:), ALLOCATABLE :: sums, sums_wsts_bc_l
	1023	REAL, DIMENSION(:,:,:), ALLOCATABLE :: hom_sum, rmask, spectrum_x, &
	1024	spectrum_y, sums_l, sums_l_l, &
	1025	sums_up_fraction_l
	1026	REAL, DIMENSION(:,:,:,:), ALLOCATABLE :: hom
	1027
	1028	SAVE
	1029
	1030	END MODULE statistics
	1031
	1032
	1033
	1034
	1035	MODULE transpose_indices
	1036
	1037	!------------------------------------------------------------------------------!
	1038	! Description:
	1039	! ------------
	1040	! Definition of indices for transposed arrays
	1041	!------------------------------------------------------------------------------!
	1042
	1043	INTEGER :: nxl_y, nxl_yd, nxl_z, nxr_y, nxr_ya, nxr_yd, nxr_yda, nxr_z, &
	1044	nxr_za, nyn_x, nyn_xa, nyn_z, nyn_za, nys_x, nys_z, nzb_x, &
	1045	nzb_y, nzb_yd, nzt_x, nzt_xa, nzt_y, nzt_ya, nzt_yd, nzt_yda
	1046
	1047
	1048	SAVE
	1049
	1050	END MODULE transpose_indices

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