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source: palm/trunk/SOURCE/plant_canopy_model_mod.f90 @ 4572

Last change on this file since 4572 was 4535, checked in by raasch, 5 years ago
bugfix for restart data format query
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1	!> @file plant_canopy_model_mod.f90
2	!------------------------------------------------------------------------------!
3	! This file is part of the PALM model system.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the
6	! terms of the GNU General Public License as published by the Free Software
7	! Foundation, either version 3 of the License, or (at your option) any later
8	! version.
9	!
10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
13	!
14	! You should have received a copy of the GNU General Public License along with
15	! PALM. If not, see <http://www.gnu.org/licenses/>.
16	!
17	! Copyright 1997-2020 Leibniz Universitaet Hannover
18	! Copyright 2017-2020 Institute of Computer Science of the
19	! Czech Academy of Sciences, Prague
20	!------------------------------------------------------------------------------!
21	!
22	! Current revisions:
23	! ------------------
24	!
25	!
26	! Former revisions:
27	! -----------------
28	! $Id: plant_canopy_model_mod.f90 4535 2020-05-15 12:07:23Z gronemeier $
29	! bugfix for restart data format query
30	!
31	! 4525 2020-05-10 17:05:07Z raasch
32	! bugfix for reading/writing pcm_...rate_av with MPI-IO
33	!
34	! 4517 2020-05-03 14:29:30Z raasch
35	! added restart with MPI-IO for reading local arrays
36	!
37	! 4515 2020-04-30 16:37:18Z suehring
38	! Rename error number again since this was recently given in -r 4511
39	!
40	! 4514 2020-04-30 16:29:59Z suehring
41	! - Bugfix in output of pcm_heatrate_av in a restart run. In order to fix this,
42	! pch_index is now output for a restart run. Therefore, define global restart
43	! routines.
44	! - Error message number renamed and check for PA0505 revised in order to also
45	! consider natural surfaces with plant-canopy.
46	!
47	! 4495 2020-04-13 20:11:20Z raasch
48	! restart data handling with MPI-IO added
49	!
50	! 4457 2020-03-11 14:20:43Z raasch
51	!
52	! use statement for exchange horiz added
53	! (salim) removed the error message PA0672 to consider PC 3d data via ascii file
54	!
55	! 4392 2020-01-31 16:14:57Z pavelkrc (resler)
56	! Make pcm_heatrate_av, pcm_latentrate_av public to allow calculation
57	! of averaged Bowen ratio in the user procedure
58	!
59	! 4381 2020-01-20 13:51:46Z suehring
60	! Give error message 313 only once
61	!
62	! 4363 2020-01-07 18:11:28Z suehring
63	! Fix for last commit
64	!
65	! 4362 2020-01-07 17:15:02Z suehring
66	! Input of plant canopy variables from static driver moved to plant-canopy
67	! model
68	!
69	! 4361 2020-01-07 12:22:38Z suehring
70	! - Remove unused arrays in pmc_rrd_local
71	! - Remove one exchange of ghost points
72	!
73	! 4360 2020-01-07 11:25:50Z suehring
74	! - Bugfix, read restart data for time-averaged pcm output quantities
75	! - Output of plant-canopy quantities will fill values
76	!
77	! 4356 2019-12-20 17:09:33Z suehring
78	! Correct single message call, local check must be given by the respective
79	! mpi rank.
80	!
81	! 4346 2019-12-18 11:55:56Z motisi
82	! Introduction of wall_flags_total_0, which currently sets bits based on static
83	! topography information used in wall_flags_static_0
84	!
85	! 4342 2019-12-16 13:49:14Z Giersch
86	! Use statements moved to module level, ocean dependency removed, redundant
87	! variables removed
88	!
89	! 4341 2019-12-16 10:43:49Z motisi
90	! - Unification of variable names: pc_-variables now pcm_-variables
91	! (pc_latent_rate, pc_heating_rate, pc_transpiration_rate)
92	! - Removal of pcm_bowenratio output
93	! - Renamed canopy-mode 'block' to 'homogeneous'
94	! - Renamed value 'read_from_file_3d' to 'read_from_file'
95	! - Removal of confusing comment lines
96	! - Replacement of k_wall by topo_top_ind
97	! - Removal of Else-Statement in tendency-calculation
98	!
99	! 4335 2019-12-12 16:39:05Z suehring
100	! Fix for LAD at building edges also implemented in vector branch.
101	!
102	! 4331 2019-12-10 18:25:02Z suehring
103	! Typo corrected
104	!
105	! 4329 2019-12-10 15:46:36Z motisi
106	! Renamed wall_flags_0 to wall_flags_static_0
107	!
108	! 4314 2019-11-29 10:29:20Z suehring
109	! - Bugfix, plant canopy was still considered at building edges on for the u-
110	! and v-component.
111	! - Relax restriction of LAD on building tops. LAD is only omitted at
112	! locations where building grid points emerged artificially by the
113	! topography filtering.
114	!
115	! 4309 2019-11-26 18:49:59Z suehring
116	! Typo
117	!
118	! 4302 2019-11-22 13:15:56Z suehring
119	! Omit tall canopy mapped on top of buildings
120	!
121	! 4279 2019-10-29 08:48:17Z scharf
122	! unused variables removed
123	!
124	! 4258 2019-10-07 13:29:08Z scharf
125	! changed check for static driver and fixed bugs in initialization and header
126	!
127	! 4258 2019-10-07 13:29:08Z suehring
128	! Check if any LAD is prescribed when plant-canopy model is applied.
129	!
130	! 4226 2019-09-10 17:03:24Z suehring
131	! Bugfix, missing initialization of heating rate
132	!
133	! 4221 2019-09-09 08:50:35Z suehring
134	! Further bugfix in 3d data output for plant canopy
135	!
136	! 4216 2019-09-04 09:09:03Z suehring
137	! Bugfixes in 3d data output
138	!
139	! 4205 2019-08-30 13:25:00Z suehring
140	! Missing working precision + bugfix in calculation of wind speed
141	!
142	! 4188 2019-08-26 14:15:47Z suehring
143	! Minor adjustment in error number
144	!
145	! 4187 2019-08-26 12:43:15Z suehring
146	! Give specific error numbers instead of PA0999
147	!
148	! 4182 2019-08-22 15:20:23Z scharf
149	! Corrected "Former revisions" section
150	!
151	! 4168 2019-08-16 13:50:17Z suehring
152	! Replace function get_topography_top_index by topo_top_ind
153	!
154	! 4127 2019-07-30 14:47:10Z suehring
155	! Output of 3D plant canopy variables changed. It is now relative to the local
156	! terrain rather than located at the acutal vertical level in the model. This
157	! way, the vertical dimension of the output can be significantly reduced.
158	! (merge from branch resler)
159	!
160	! 3885 2019-04-11 11:29:34Z kanani
161	! Changes related to global restructuring of location messages and introduction
162	! of additional debug messages
163	!
164	! 3864 2019-04-05 09:01:56Z monakurppa
165	! unsed variables removed
166	!
167	! 3745 2019-02-15 18:57:56Z suehring
168	! Bugfix in transpiration, floating invalid when temperature
169	! becomes > 40 degrees
170	!
171	! 3744 2019-02-15 18:38:58Z suehring
172	! Some interface calls moved to module_interface + cleanup
173	!
174	! 3655 2019-01-07 16:51:22Z knoop
175	! unused variables removed
176	!
177	! 138 2007-11-28 10:03:58Z letzel
178	! Initial revision
179	!
180	! Description:
181	! ------------
182	!> 1) Initialization of the canopy model, e.g. construction of leaf area density
183	!> profile (subroutine pcm_init).
184	!> 2) Calculation of sinks and sources of momentum, heat and scalar concentration
185	!> due to canopy elements (subroutine pcm_tendency).
186	!
187	! @todo - precalculate constant terms in pcm_calc_transpiration_rate
188	! @todo - unify variable names (pcm_, pc_, ...)
189	! @todo - get rid-off dependency on radiation model
190	!------------------------------------------------------------------------------!
191	MODULE plant_canopy_model_mod
192
193	USE arrays_3d, &
194	ONLY: dzu, dzw, e, exner, hyp, pt, q, s, tend, u, v, w, zu, zw
195
196	USE basic_constants_and_equations_mod, &
197	ONLY: c_p, degc_to_k, l_v, lv_d_cp, r_d, rd_d_rv
198
199	USE bulk_cloud_model_mod, &
200	ONLY: bulk_cloud_model, microphysics_seifert
201
202	USE control_parameters, &
203	ONLY: average_count_3d, &
204	coupling_char, &
205	debug_output, &
206	dt_3d, &
207	dz, &
208	humidity, &
209	land_surface, &
210	length, &
211	message_string, &
212	ocean_mode, &
213	passive_scalar, &
214	plant_canopy, &
215	restart_data_format_output, &
216	restart_string, &
217	urban_surface
218
219	USE grid_variables, &
220	ONLY: dx, dy
221
222	USE indices, &
223	ONLY: nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, &
224	nz, nzb, nzt, topo_top_ind, wall_flags_total_0
225
226	USE kinds
227
228	USE netcdf_data_input_mod, &
229	ONLY: input_pids_static, &
230	char_fill, &
231	check_existence, &
232	close_input_file, &
233	get_attribute, &
234	get_dimension_length, &
235	get_variable, &
236	inquire_num_variables, &
237	inquire_variable_names, &
238	input_file_static, &
239	num_var_pids, &
240	open_read_file, &
241	pids_id, &
242	real_3d, &
243	vars_pids
244
245	USE pegrid
246
247	USE restart_data_mpi_io_mod, &
248	ONLY: rd_mpi_io_check_array, &
249	rrd_mpi_io, &
250	wrd_mpi_io
251
252	USE surface_mod, &
253	ONLY: surf_def_h, surf_lsm_h, surf_usm_h
254
255
256	IMPLICIT NONE
257
258	CHARACTER (LEN=30) :: canopy_mode = 'homogeneous' !< canopy coverage
259	LOGICAL :: plant_canopy_transpiration = .FALSE. !< flag to switch calculation of transpiration and corresponding latent heat
260	!< for resolved plant canopy inside radiation model
261	!< (calls subroutine pcm_calc_transpiration_rate from module plant_canopy_mod)
262
263	INTEGER(iwp) :: pch_index = 0 !< plant canopy height/top index
264	INTEGER(iwp) :: lad_vertical_gradient_level_ind(10) = -9999 !< lad-profile levels (index)
265
266	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: pch_index_ji !< local plant canopy top
267
268	LOGICAL :: calc_beta_lad_profile = .FALSE. !< switch for calc. of lad from beta func.
269
270	REAL(wp) :: alpha_lad = 9999999.9_wp !< coefficient for lad calculation
271	REAL(wp) :: beta_lad = 9999999.9_wp !< coefficient for lad calculation
272	REAL(wp) :: canopy_drag_coeff = 0.0_wp !< canopy drag coefficient (parameter)
273	REAL(wp) :: cthf = 0.0_wp !< canopy top heat flux
274	REAL(wp) :: dt_plant_canopy = 0.0_wp !< timestep account. for canopy drag
275	REAL(wp) :: ext_coef = 0.6_wp !< extinction coefficient
276	REAL(wp) :: lad_surface = 0.0_wp !< lad surface value
277	REAL(wp) :: lai_beta = 0.0_wp !< leaf area index (lai) for lad calc.
278	REAL(wp) :: leaf_scalar_exch_coeff = 0.0_wp !< canopy scalar exchange coeff.
279	REAL(wp) :: leaf_surface_conc = 0.0_wp !< leaf surface concentration
280
281	REAL(wp) :: lad_vertical_gradient(10) = 0.0_wp !< lad gradient
282	REAL(wp) :: lad_vertical_gradient_level(10) = -9999999.9_wp !< lad-prof. levels (in m)
283
284	REAL(wp) :: lad_type_coef(0:10) = 1.0_wp !< multiplicative coeficients for particular types
285	!< of plant canopy (e.g. deciduous tree during winter)
286
287	REAL(wp), DIMENSION(:), ALLOCATABLE :: lad !< leaf area density
288	REAL(wp), DIMENSION(:), ALLOCATABLE :: pre_lad !< preliminary lad
289
290	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: cum_lai_hf !< cumulative lai for heatflux calc.
291	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: lad_s !< lad on scalar-grid
292	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_heating_rate !< plant canopy heating rate
293	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_transpiration_rate !< plant canopy transpiration rate
294	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_latent_rate !< plant canopy latent heating rate
295
296	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_heatrate_av !< array for averaging plant canopy sensible heating rate
297	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_latentrate_av !< array for averaging plant canopy latent heating rate
298	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_transpirationrate_av !< array for averaging plant canopy transpiration rate
299
300	TYPE(real_3d) :: basal_area_density_f !< input variable for basal area density - resolved vegetation
301	TYPE(real_3d) :: leaf_area_density_f !< input variable for leaf area density - resolved vegetation
302	TYPE(real_3d) :: root_area_density_lad_f !< input variable for root area density - resolved vegetation
303
304	SAVE
305
306	PRIVATE
307
308	!
309	!-- Public functions
310	PUBLIC pcm_calc_transpiration_rate, &
311	pcm_check_data_output, &
312	pcm_check_parameters, &
313	pcm_3d_data_averaging, &
314	pcm_data_output_3d, &
315	pcm_define_netcdf_grid, &
316	pcm_header, &
317	pcm_init, &
318	pcm_parin, &
319	pcm_rrd_global, &
320	pcm_rrd_local, &
321	pcm_tendency, &
322	pcm_wrd_global, &
323	pcm_wrd_local
324
325	!
326	!-- Public variables and constants
327	PUBLIC canopy_drag_coeff, pcm_heating_rate, pcm_transpiration_rate, &
328	pcm_latent_rate, canopy_mode, cthf, dt_plant_canopy, lad, lad_s, &
329	pch_index, plant_canopy_transpiration, &
330	pcm_heatrate_av, pcm_latentrate_av
331
332	INTERFACE pcm_calc_transpiration_rate
333	MODULE PROCEDURE pcm_calc_transpiration_rate
334	END INTERFACE pcm_calc_transpiration_rate
335
336	INTERFACE pcm_check_data_output
337	MODULE PROCEDURE pcm_check_data_output
338	END INTERFACE pcm_check_data_output
339
340	INTERFACE pcm_check_parameters
341	MODULE PROCEDURE pcm_check_parameters
342	END INTERFACE pcm_check_parameters
343
344	INTERFACE pcm_3d_data_averaging
345	MODULE PROCEDURE pcm_3d_data_averaging
346	END INTERFACE pcm_3d_data_averaging
347
348	INTERFACE pcm_data_output_3d
349	MODULE PROCEDURE pcm_data_output_3d
350	END INTERFACE pcm_data_output_3d
351
352	INTERFACE pcm_define_netcdf_grid
353	MODULE PROCEDURE pcm_define_netcdf_grid
354	END INTERFACE pcm_define_netcdf_grid
355
356	INTERFACE pcm_header
357	MODULE PROCEDURE pcm_header
358	END INTERFACE pcm_header
359
360	INTERFACE pcm_init
361	MODULE PROCEDURE pcm_init
362	END INTERFACE pcm_init
363
364	INTERFACE pcm_parin
365	MODULE PROCEDURE pcm_parin
366	END INTERFACE pcm_parin
367
368	INTERFACE pcm_read_plant_canopy_3d
369	MODULE PROCEDURE pcm_read_plant_canopy_3d
370	END INTERFACE pcm_read_plant_canopy_3d
371
372	INTERFACE pcm_rrd_local
373	MODULE PROCEDURE pcm_rrd_local_ftn
374	MODULE PROCEDURE pcm_rrd_local_mpi
375	END INTERFACE pcm_rrd_local
376
377	INTERFACE pcm_rrd_global
378	MODULE PROCEDURE pcm_rrd_global_ftn
379	MODULE PROCEDURE pcm_rrd_global_mpi
380	END INTERFACE pcm_rrd_global
381
382	INTERFACE pcm_tendency
383	MODULE PROCEDURE pcm_tendency
384	MODULE PROCEDURE pcm_tendency_ij
385	END INTERFACE pcm_tendency
386
387	INTERFACE pcm_wrd_local
388	MODULE PROCEDURE pcm_wrd_local
389	END INTERFACE pcm_wrd_local
390
391	INTERFACE pcm_wrd_global
392	MODULE PROCEDURE pcm_wrd_global
393	END INTERFACE pcm_wrd_global
394
395
396	CONTAINS
397
398
399	!------------------------------------------------------------------------------!
400	! Description:
401	! ------------
402	!> Calculation of the plant canopy transpiration rate based on the Jarvis-Stewart
403	!> with parametrizations described in Daudet et al. (1999; Agricult. and Forest
404	!> Meteorol. 97) and Ngao, Adam and Saudreau (2017; Agricult. and Forest Meteorol
405	!> 237-238). Model functions f1-f4 were adapted from Stewart (1998; Agric.
406	!> and Forest. Meteorol. 43) instead, because they are valid for broader intervals
407	!> of values. Funcion f4 used in form present in van Wijk et al. (1998;
408	!> Tree Physiology 20).
409	!>
410	!> This subroutine is called from subroutine radiation_interaction
411	!> after the calculation of radiation in plant canopy boxes.
412	!> (arrays pcbinsw and pcbinlw).
413	!>
414	!------------------------------------------------------------------------------!
415	SUBROUTINE pcm_calc_transpiration_rate(i, j, k, kk, pcbsw, pcblw, pcbtr, pcblh)
416
417	!
418	!-- input parameters
419	INTEGER(iwp), INTENT(IN) :: i, j, k, kk !< indices of the pc gridbox
420	REAL(wp), INTENT(IN) :: pcbsw !< sw radiation in gridbox (W)
421	REAL(wp), INTENT(IN) :: pcblw !< lw radiation in gridbox (W)
422	REAL(wp), INTENT(OUT) :: pcbtr !< transpiration rate dq/dt (kg/kg/s)
423	REAL(wp), INTENT(OUT) :: pcblh !< latent heat from transpiration dT/dt (K/s)
424
425	!-- variables and parameters for calculation of transpiration rate
426	REAL(wp) :: sat_press, sat_press_d, temp, v_lad
427	REAL(wp) :: d_fact, g_b, g_s, wind_speed, evapor_rate
428	REAL(wp) :: f1, f2, f3, f4, vpd, rswc, e_eq, e_imp, rad
429	REAL(wp), PARAMETER :: gama_psychr = 66.0_wp !< psychrometric constant (Pa/K)
430	REAL(wp), PARAMETER :: g_s_max = 0.01 !< maximum stomatal conductivity (m/s)
431	REAL(wp), PARAMETER :: m_soil = 0.4_wp !< soil water content (needs to adjust or take from LSM)
432	REAL(wp), PARAMETER :: m_wilt = 0.01_wp !< wilting point soil water content (needs to adjust or take from LSM)
433	REAL(wp), PARAMETER :: m_sat = 0.51_wp !< saturation soil water content (needs to adjust or take from LSM)
434	REAL(wp), PARAMETER :: t2_min = 0.0_wp !< minimal temperature for calculation of f2
435	REAL(wp), PARAMETER :: t2_max = 40.0_wp !< maximal temperature for calculation of f2
436
437
438	!-- Temperature (deg C)
439	temp = pt(k,j,i) * exner(k) - degc_to_k
440	!-- Coefficient for conversion of radiation to grid to radiation to unit leaves surface
441	v_lad = 1.0_wp / ( MAX( lad_s(kk,j,i), 1.0E-10_wp ) * dx * dy * dz(1) )
442	!-- Magnus formula for the saturation pressure (see Ngao, Adam and Saudreau (2017) eq. 1)
443	!-- There are updated formulas available, kept consistent with the rest of the parametrization
444	sat_press = 610.8_wp * exp(17.27_wp * temp/(temp + 237.3_wp))
445	!-- Saturation pressure derivative (derivative of the above)
446	sat_press_d = sat_press * 17.27_wp * 237.3_wp / (temp + 237.3_wp)**2
447	!-- Wind speed
448	wind_speed = SQRT( ( 0.5_wp * ( u(k,j,i) + u(k,j,i+1) ) )**2 + &
449	( 0.5_wp * ( v(k,j,i) + v(k,j+1,i) ) )**2 + &
450	( 0.5_wp * ( w(k,j,i) + w(k-1,j,i) ) )**2 )
451	!-- Aerodynamic conductivity (Daudet et al. (1999) eq. 14
452	g_b = 0.01_wp * wind_speed + 0.0071_wp
453	!-- Radiation flux per leaf surface unit
454	rad = pcbsw * v_lad
455	!-- First function for calculation of stomatal conductivity (radiation dependency)
456	!-- Stewart (1988; Agric. and Forest. Meteorol. 43) eq. 17
457	f1 = rad * (1000.0_wp+42.1_wp) / 1000.0_wp / (rad+42.1_wp)
458	!-- Second function for calculation of stomatal conductivity (temperature dependency)
459	!-- Stewart (1988; Agric. and Forest. Meteorol. 43) eq. 21
460	f2 = MAX(t2_min, (temp-t2_min) * MAX(0.0_wp,t2_max-temp)**((t2_max-16.9_wp)/(16.9_wp-t2_min)) / &
461	((16.9_wp-t2_min) * (t2_max-16.9_wp)**((t2_max-16.9_wp)/(16.9_wp-t2_min))) )
462	!-- Water pressure deficit
463	!-- Ngao, Adam and Saudreau (2017) eq. 6 but with water vapour partial pressure
464	vpd = max( sat_press - q(k,j,i) * hyp(k) / rd_d_rv, 0._wp )
465	!-- Third function for calculation of stomatal conductivity (water pressure deficit dependency)
466	!-- Ngao, Adam and Saudreau (2017) Table 1, limited from below according to Stewart (1988)
467	!-- The coefficients of the linear dependence should better correspond to broad-leaved trees
468	!-- than the coefficients from Stewart (1988) which correspond to conifer trees.
469	vpd = MIN(MAX(vpd,770.0_wp),3820.0_wp)
470	f3 = -2E-4_wp * vpd + 1.154_wp
471	!-- Fourth function for calculation of stomatal conductivity (soil moisture dependency)
472	!-- Residual soil water content
473	!-- van Wijk et al. (1998; Tree Physiology 20) eq. 7
474	!-- TODO - over LSM surface might be calculated from LSM parameters
475	rswc = ( m_sat - m_soil ) / ( m_sat - m_wilt )
476	!-- van Wijk et al. (1998; Tree Physiology 20) eq. 5-6 (it is a reformulation of eq. 22-23 of Stewart(1988))
477	f4 = MAX(0.0_wp, MIN(1.0_wp - 0.041_wp * EXP(3.2_wp * rswc), 1.0_wp - 0.041_wp))
478	!-- Stomatal conductivity
479	!-- Stewart (1988; Agric. and Forest. Meteorol. 43) eq. 12
480	!-- (notation according to Ngao, Adam and Saudreau (2017) and others)
481	g_s = g_s_max * f1 * f2 * f3 * f4 + 1.0E-10_wp
482	!-- Decoupling factor
483	!-- Daudet et al. (1999) eq. 6
484	d_fact = (sat_press_d / gama_psychr + 2.0_wp ) / &
485	(sat_press_d / gama_psychr + 2.0_wp + 2.0_wp * g_b / g_s )
486	!-- Equilibrium evaporation rate
487	!-- Daudet et al. (1999) eq. 4
488	e_eq = (pcbsw + pcblw) * v_lad * sat_press_d / &
489	gama_psychr /( sat_press_d / gama_psychr + 2.0_wp ) / l_v
490	!-- Imposed evaporation rate
491	!-- Daudet et al. (1999) eq. 5
492	e_imp = r_d * pt(k,j,i) * exner(k) / hyp(k) * c_p * g_s * vpd / gama_psychr / l_v
493	!-- Evaporation rate
494	!-- Daudet et al. (1999) eq. 3
495	!-- (evaporation rate is limited to non-negative values)
496	evapor_rate = MAX(d_fact * e_eq + ( 1.0_wp - d_fact ) * e_imp, 0.0_wp)
497	!-- Conversion of evaporation rate to q tendency in gridbox
498	!-- dq/dt = E * LAD * V_g / (rho_air * V_g)
499	pcbtr = evapor_rate * r_d * pt(k,j,i) * exner(k) * lad_s(kk,j,i) / hyp(k) !-- = dq/dt
500	!-- latent heat from evaporation
501	pcblh = pcbtr * lv_d_cp !-- = - dT/dt
502
503	END SUBROUTINE pcm_calc_transpiration_rate
504
505
506	!------------------------------------------------------------------------------!
507	! Description:
508	! ------------
509	!> Check data output for plant canopy model
510	!------------------------------------------------------------------------------!
511	SUBROUTINE pcm_check_data_output( var, unit )
512
513	CHARACTER (LEN=*) :: unit !<
514	CHARACTER (LEN=*) :: var !<
515
516
517	SELECT CASE ( TRIM( var ) )
518
519	CASE ( 'pcm_heatrate' )
520	!
521	!-- Output of heatrate can be only done if it is explicitely set by cthf,
522	!-- or parametrized by absorption of radiation. The latter, however, is
523	!-- only available if radiation_interactions are on. Note, these are
524	!-- enabled if land-surface or urban-surface is switched-on. Using
525	!-- radiation_interactions_on directly is not possible since it belongs
526	!-- to the radition_model, which in turn depends on the plant-canopy model,
527	!-- creating circular dependencies.
528	IF ( cthf == 0.0_wp .AND. ( .NOT. urban_surface .AND. &
529	.NOT. land_surface ) ) THEN
530	message_string = 'output of "' // TRIM( var ) // '" requi' // &
531	'res setting of parameter cthf /= 0.0'
532	CALL message( 'pcm_check_data_output', 'PA0718', 1, 2, 0, 6, 0 )
533	ENDIF
534	unit = 'K s-1'
535
536	CASE ( 'pcm_transpirationrate' )
537	unit = 'kg kg-1 s-1'
538
539	CASE ( 'pcm_latentrate' )
540	unit = 'K s-1'
541
542	CASE ( 'pcm_lad' )
543	unit = 'm2 m-3'
544
545
546	CASE DEFAULT
547	unit = 'illegal'
548
549	END SELECT
550
551
552	END SUBROUTINE pcm_check_data_output
553
554
555	!------------------------------------------------------------------------------!
556	! Description:
557	! ------------
558	!> Check parameters routine for plant canopy model
559	!------------------------------------------------------------------------------!
560	SUBROUTINE pcm_check_parameters
561
562	IF ( ocean_mode ) THEN
563	message_string = 'plant_canopy = .TRUE. is not allowed in the '// &
564	'ocean'
565	CALL message( 'pcm_check_parameters', 'PA0696', 1, 2, 0, 6, 0 )
566	ENDIF
567
568	IF ( canopy_drag_coeff == 0.0_wp ) THEN
569	message_string = 'plant_canopy = .TRUE. requires a non-zero drag '// &
570	'coefficient & given value is canopy_drag_coeff = 0.0'
571	CALL message( 'pcm_check_parameters', 'PA0041', 1, 2, 0, 6, 0 )
572	ENDIF
573
574	IF ( ( alpha_lad /= 9999999.9_wp .AND. beta_lad == 9999999.9_wp ) .OR.&
575	beta_lad /= 9999999.9_wp .AND. alpha_lad == 9999999.9_wp ) THEN
576	message_string = 'using the beta function for the construction ' // &
577	'of the leaf area density profile requires ' // &
578	'both alpha_lad and beta_lad to be /= 9999999.9'
579	CALL message( 'pcm_check_parameters', 'PA0118', 1, 2, 0, 6, 0 )
580	ENDIF
581
582	IF ( calc_beta_lad_profile .AND. lai_beta == 0.0_wp ) THEN
583	message_string = 'using the beta function for the construction ' // &
584	'of the leaf area density profile requires ' // &
585	'a non-zero lai_beta, but given value is ' // &
586	'lai_beta = 0.0'
587	CALL message( 'pcm_check_parameters', 'PA0119', 1, 2, 0, 6, 0 )
588	ENDIF
589
590	IF ( calc_beta_lad_profile .AND. lad_surface /= 0.0_wp ) THEN
591	message_string = 'simultaneous setting of alpha_lad /= 9999999.9 '// &
592	'combined with beta_lad /= 9999999.9 ' // &
593	'and lad_surface /= 0.0 is not possible, ' // &
594	'use either vertical gradients or the beta ' // &
595	'function for the construction of the leaf area '// &
596	'density profile'
597	CALL message( 'pcm_check_parameters', 'PA0120', 1, 2, 0, 6, 0 )
598	ENDIF
599
600	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
601	message_string = 'plant_canopy = .TRUE. requires cloud_scheme /=' // &
602	' seifert_beheng'
603	CALL message( 'pcm_check_parameters', 'PA0360', 1, 2, 0, 6, 0 )
604	ENDIF
605
606	END SUBROUTINE pcm_check_parameters
607
608
609	!------------------------------------------------------------------------------!
610	!
611	! Description:
612	! ------------
613	!> Subroutine for averaging 3D data
614	!------------------------------------------------------------------------------!
615	SUBROUTINE pcm_3d_data_averaging( mode, variable )
616
617	CHARACTER (LEN=*) :: mode !<
618	CHARACTER (LEN=*) :: variable !<
619
620	INTEGER(iwp) :: i !<
621	INTEGER(iwp) :: j !<
622	INTEGER(iwp) :: k !<
623
624
625	IF ( mode == 'allocate' ) THEN
626
627	SELECT CASE ( TRIM( variable ) )
628
629	CASE ( 'pcm_heatrate' )
630	IF ( .NOT. ALLOCATED( pcm_heatrate_av ) ) THEN
631	ALLOCATE( pcm_heatrate_av(0:pch_index,nysg:nyng,nxlg:nxrg) )
632	ENDIF
633	pcm_heatrate_av = 0.0_wp
634
635
636	CASE ( 'pcm_latentrate' )
637	IF ( .NOT. ALLOCATED( pcm_latentrate_av ) ) THEN
638	ALLOCATE( pcm_latentrate_av(0:pch_index,nysg:nyng,nxlg:nxrg) )
639	ENDIF
640	pcm_latentrate_av = 0.0_wp
641
642
643	CASE ( 'pcm_transpirationrate' )
644	IF ( .NOT. ALLOCATED( pcm_transpirationrate_av ) ) THEN
645	ALLOCATE( pcm_transpirationrate_av(0:pch_index,nysg:nyng,nxlg:nxrg) )
646	ENDIF
647	pcm_transpirationrate_av = 0.0_wp
648
649	CASE DEFAULT
650	CONTINUE
651
652	END SELECT
653
654	ELSEIF ( mode == 'sum' ) THEN
655
656	SELECT CASE ( TRIM( variable ) )
657
658	CASE ( 'pcm_heatrate' )
659	IF ( ALLOCATED( pcm_heatrate_av ) ) THEN
660	DO i = nxl, nxr
661	DO j = nys, nyn
662	IF ( pch_index_ji(j,i) /= 0 ) THEN
663	DO k = 0, pch_index_ji(j,i)
664	pcm_heatrate_av(k,j,i) = pcm_heatrate_av(k,j,i) + pcm_heating_rate(k,j,i)
665	ENDDO
666	ENDIF
667	ENDDO
668	ENDDO
669	ENDIF
670
671
672	CASE ( 'pcm_latentrate' )
673	IF ( ALLOCATED( pcm_latentrate_av ) ) THEN
674	DO i = nxl, nxr
675	DO j = nys, nyn
676	IF ( pch_index_ji(j,i) /= 0 ) THEN
677	DO k = 0, pch_index_ji(j,i)
678	pcm_latentrate_av(k,j,i) = pcm_latentrate_av(k,j,i) + pcm_latent_rate(k,j,i)
679	ENDDO
680	ENDIF
681	ENDDO
682	ENDDO
683	ENDIF
684
685
686	CASE ( 'pcm_transpirationrate' )
687	IF ( ALLOCATED( pcm_transpirationrate_av ) ) THEN
688	DO i = nxl, nxr
689	DO j = nys, nyn
690	IF ( pch_index_ji(j,i) /= 0 ) THEN
691	DO k = 0, pch_index_ji(j,i)
692	pcm_transpirationrate_av(k,j,i) = pcm_transpirationrate_av(k,j,i) + pcm_transpiration_rate(k,j,i)
693	ENDDO
694	ENDIF
695	ENDDO
696	ENDDO
697	ENDIF
698
699	CASE DEFAULT
700	CONTINUE
701
702	END SELECT
703
704	ELSEIF ( mode == 'average' ) THEN
705
706	SELECT CASE ( TRIM( variable ) )
707
708	CASE ( 'pcm_heatrate' )
709	IF ( ALLOCATED( pcm_heatrate_av ) ) THEN
710	DO i = nxlg, nxrg
711	DO j = nysg, nyng
712	IF ( pch_index_ji(j,i) /= 0 ) THEN
713	DO k = 0, pch_index_ji(j,i)
714	pcm_heatrate_av(k,j,i) = pcm_heatrate_av(k,j,i) &
715	/ REAL( average_count_3d, KIND=wp )
716	ENDDO
717	ENDIF
718	ENDDO
719	ENDDO
720	ENDIF
721
722
723	CASE ( 'pcm_latentrate' )
724	IF ( ALLOCATED( pcm_latentrate_av ) ) THEN
725	DO i = nxlg, nxrg
726	DO j = nysg, nyng
727	IF ( pch_index_ji(j,i) /= 0 ) THEN
728	DO k = 0, pch_index_ji(j,i)
729	pcm_latentrate_av(k,j,i) = pcm_latentrate_av(k,j,i) &
730	/ REAL( average_count_3d, KIND=wp )
731	ENDDO
732	ENDIF
733	ENDDO
734	ENDDO
735	ENDIF
736
737
738	CASE ( 'pcm_transpirationrate' )
739	IF ( ALLOCATED( pcm_transpirationrate_av ) ) THEN
740	DO i = nxlg, nxrg
741	DO j = nysg, nyng
742	IF ( pch_index_ji(j,i) /= 0 ) THEN
743	DO k = 0, pch_index_ji(j,i)
744	pcm_transpirationrate_av(k,j,i) = pcm_transpirationrate_av(k,j,i) &
745	/ REAL( average_count_3d, KIND=wp )
746	ENDDO
747	ENDIF
748	ENDDO
749	ENDDO
750	ENDIF
751
752	END SELECT
753
754	ENDIF
755
756	END SUBROUTINE pcm_3d_data_averaging
757
758	!------------------------------------------------------------------------------!
759	!
760	! Description:
761	! ------------
762	!> Subroutine defining 3D output variables.
763	!> Note, 3D plant-canopy output has it's own vertical output dimension, meaning
764	!> that 3D output is relative to the model surface now rather than at the actual
765	!> grid point where the plant canopy is located.
766	!------------------------------------------------------------------------------!
767	SUBROUTINE pcm_data_output_3d( av, variable, found, local_pf, fill_value, &
768	nzb_do, nzt_do )
769
770	CHARACTER (LEN=*) :: variable !< treated variable
771
772	INTEGER(iwp) :: av !< flag indicating instantaneous or averaged data output
773	INTEGER(iwp) :: i !< grid index x-direction
774	INTEGER(iwp) :: j !< grid index y-direction
775	INTEGER(iwp) :: k !< grid index z-direction
776	INTEGER(iwp) :: nzb_do !< lower limit of the data output (usually 0)
777	INTEGER(iwp) :: nzt_do !< vertical upper limit of the data output (usually nz_do3d)
778
779	LOGICAL :: found !< flag indicating if variable is found
780
781	REAL(wp) :: fill_value !< fill value
782	REAL(sp), DIMENSION(nxl:nxr,nys:nyn,nzb_do:nzt_do) :: local_pf !< data output array
783
784
785	found = .TRUE.
786
787	local_pf = REAL( fill_value, KIND = 4 )
788
789	SELECT CASE ( TRIM( variable ) )
790	!
791	!-- Note, to save memory arrays for heating are allocated from 0:pch_index.
792	!-- Thus, output must be relative to these array indices. Further, check
793	!-- whether the output is within the vertical output range,
794	!-- i.e. nzb_do:nzt_do, which is necessary as local_pf is only allocated
795	!-- for this index space. Note, plant-canopy output has a separate
796	!-- vertical output coordinate zlad, so that output is mapped down to the
797	!-- surface.
798	CASE ( 'pcm_heatrate' )
799	IF ( av == 0 ) THEN
800	DO i = nxl, nxr
801	DO j = nys, nyn
802	DO k = MAX( 1, nzb_do ), MIN( pch_index_ji(j,i), nzt_do )
803	local_pf(i,j,k) = pcm_heating_rate(k,j,i)
804	ENDDO
805	ENDDO
806	ENDDO
807	ELSE
808	DO i = nxl, nxr
809	DO j = nys, nyn
810	DO k = MAX( 1, nzb_do ), MIN( pch_index_ji(j,i), nzt_do )
811	local_pf(i,j,k) = pcm_heatrate_av(k,j,i)
812	ENDDO
813	ENDDO
814	ENDDO
815	ENDIF
816
817	CASE ( 'pcm_latentrate' )
818	IF ( av == 0 ) THEN
819	DO i = nxl, nxr
820	DO j = nys, nyn
821	DO k = MAX( 1, nzb_do ), MIN( pch_index_ji(j,i), nzt_do )
822	local_pf(i,j,k) = pcm_latent_rate(k,j,i)
823	ENDDO
824	ENDDO
825	ENDDO
826	ELSE
827	DO i = nxl, nxr
828	DO j = nys, nyn
829	DO k = MAX( 1, nzb_do ), MIN( pch_index_ji(j,i), nzt_do )
830	local_pf(i,j,k) = pcm_latentrate_av(k,j,i)
831	ENDDO
832	ENDDO
833	ENDDO
834	ENDIF
835
836	CASE ( 'pcm_transpirationrate' )
837	IF ( av == 0 ) THEN
838	DO i = nxl, nxr
839	DO j = nys, nyn
840	DO k = MAX( 1, nzb_do ), MIN( pch_index_ji(j,i), nzt_do )
841	local_pf(i,j,k) = pcm_transpiration_rate(k,j,i)
842	ENDDO
843	ENDDO
844	ENDDO
845	ELSE
846	DO i = nxl, nxr
847	DO j = nys, nyn
848	DO k = MAX( 1, nzb_do ), MIN( pch_index_ji(j,i), nzt_do )
849	local_pf(i,j,k) = pcm_transpirationrate_av(k,j,i)
850	ENDDO
851	ENDDO
852	ENDDO
853	ENDIF
854
855	CASE ( 'pcm_lad' )
856	IF ( av == 0 ) THEN
857	DO i = nxl, nxr
858	DO j = nys, nyn
859	DO k = MAX( 1, nzb_do ), MIN( pch_index_ji(j,i), nzt_do )
860	local_pf(i,j,k) = lad_s(k,j,i)
861	ENDDO
862	ENDDO
863	ENDDO
864	ENDIF
865
866	CASE DEFAULT
867	found = .FALSE.
868
869	END SELECT
870
871	END SUBROUTINE pcm_data_output_3d
872
873	!------------------------------------------------------------------------------!
874	!
875	! Description:
876	! ------------
877	!> Subroutine defining appropriate grid for netcdf variables.
878	!> It is called from subroutine netcdf.
879	!------------------------------------------------------------------------------!
880	SUBROUTINE pcm_define_netcdf_grid( var, found, grid_x, grid_y, grid_z )
881
882	CHARACTER (LEN=*), INTENT(IN) :: var !<
883	LOGICAL, INTENT(OUT) :: found !<
884	CHARACTER (LEN=*), INTENT(OUT) :: grid_x !<
885	CHARACTER (LEN=*), INTENT(OUT) :: grid_y !<
886	CHARACTER (LEN=*), INTENT(OUT) :: grid_z !<
887
888	found = .TRUE.
889
890	!
891	!-- Check for the grid. zpc is zu(nzb:nzb+pch_index)
892	SELECT CASE ( TRIM( var ) )
893
894	CASE ( 'pcm_heatrate', 'pcm_lad', 'pcm_transpirationrate', 'pcm_latentrate')
895	grid_x = 'x'
896	grid_y = 'y'
897	grid_z = 'zpc'
898
899	CASE DEFAULT
900	found = .FALSE.
901	grid_x = 'none'
902	grid_y = 'none'
903	grid_z = 'none'
904	END SELECT
905
906	END SUBROUTINE pcm_define_netcdf_grid
907
908
909	!------------------------------------------------------------------------------!
910	! Description:
911	! ------------
912	!> Header output for plant canopy model
913	!------------------------------------------------------------------------------!
914	SUBROUTINE pcm_header ( io )
915
916	CHARACTER (LEN=10) :: coor_chr !<
917
918	CHARACTER (LEN=86) :: coordinates !<
919	CHARACTER (LEN=86) :: gradients !<
920	CHARACTER (LEN=86) :: leaf_area_density !<
921	CHARACTER (LEN=86) :: slices !<
922
923	INTEGER(iwp) :: i !<
924	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
925	INTEGER(iwp) :: k !<
926
927	REAL(wp) :: canopy_height !< canopy height (in m)
928
929	canopy_height = zw(pch_index)
930
931	WRITE ( io, 1 ) canopy_mode, canopy_height, pch_index, &
932	canopy_drag_coeff
933	IF ( passive_scalar ) THEN
934	WRITE ( io, 2 ) leaf_scalar_exch_coeff, &
935	leaf_surface_conc
936	ENDIF
937
938	!
939	! Heat flux at the top of vegetation
940	WRITE ( io, 3 ) cthf
941
942	!
943	! Leaf area density profile, calculated either from given vertical
944	! gradients or from beta probability density function.
945	IF ( .NOT. calc_beta_lad_profile ) THEN
946
947	! Building output strings, starting with surface value
948	WRITE ( leaf_area_density, '(F7.4)' ) lad_surface
949	gradients = '------'
950	slices = ' 0'
951	coordinates = ' 0.0'
952	DO i = 1, UBOUND(lad_vertical_gradient_level_ind, DIM=1)
953	IF ( lad_vertical_gradient_level_ind(i) /= -9999 ) THEN
954
955	WRITE (coor_chr,'(F7.2)') lad(lad_vertical_gradient_level_ind(i))
956	leaf_area_density = TRIM( leaf_area_density ) // ' ' // TRIM( coor_chr )
957
958	WRITE (coor_chr,'(F7.2)') lad_vertical_gradient(i)
959	gradients = TRIM( gradients ) // ' ' // TRIM( coor_chr )
960
961	WRITE (coor_chr,'(I7)') lad_vertical_gradient_level_ind(i)
962	slices = TRIM( slices ) // ' ' // TRIM( coor_chr )
963
964	WRITE (coor_chr,'(F7.1)') lad_vertical_gradient_level(i)
965	coordinates = TRIM( coordinates ) // ' ' // TRIM( coor_chr )
966	ELSE
967	EXIT
968	ENDIF
969	ENDDO
970
971	WRITE ( io, 4 ) TRIM( coordinates ), TRIM( leaf_area_density ), &
972	TRIM( gradients ), TRIM( slices )
973
974	ELSE
975
976	WRITE ( leaf_area_density, '(F7.4)' ) lad_surface
977	coordinates = ' 0.0'
978
979	DO k = 1, pch_index
980
981	WRITE (coor_chr,'(F7.2)') lad(k)
982	leaf_area_density = TRIM( leaf_area_density ) // ' ' // &
983	TRIM( coor_chr )
984
985	WRITE (coor_chr,'(F7.1)') zu(k)
986	coordinates = TRIM( coordinates ) // ' ' // TRIM( coor_chr )
987
988	ENDDO
989
990	WRITE ( io, 5 ) TRIM( coordinates ), TRIM( leaf_area_density ), &
991	alpha_lad, beta_lad, lai_beta
992
993	ENDIF
994
995	1 FORMAT (//' Vegetation canopy (drag) model:'/ &
996	' ------------------------------'// &
997	' Canopy mode: ', A / &
998	' Canopy height: ',F6.2,'m (',I4,' grid points)' / &
999	' Leaf drag coefficient: ',F6.2 /)
1000	2 FORMAT (/ ' Scalar exchange coefficient: ',F6.2 / &
1001	' Scalar concentration at leaf surfaces in kg/m**3: ',F6.2 /)
1002	3 FORMAT (' Predefined constant heatflux at the top of the vegetation: ', &
1003	F6.2, ' K m/s')
1004	4 FORMAT (/ ' Characteristic levels of the leaf area density:'// &
1005	' Height: ',A,' m'/ &
1006	' Leaf area density: ',A,' m2/m3'/ &
1007	' Gradient: ',A,' m2/m4'/ &
1008	' Gridpoint: ',A)
1009	5 FORMAT (//' Characteristic levels of the leaf area density and coefficients:'&
1010	// ' Height: ',A,' m'/ &
1011	' Leaf area density: ',A,' m2/m3'/ &
1012	' Coefficient alpha: ',F6.2 / &
1013	' Coefficient beta: ',F6.2 / &
1014	' Leaf area index: ',F6.2,' m2/m2' /)
1015
1016	END SUBROUTINE pcm_header
1017
1018
1019	!------------------------------------------------------------------------------!
1020	! Description:
1021	! ------------
1022	!> Initialization of the plant canopy model
1023	!------------------------------------------------------------------------------!
1024	SUBROUTINE pcm_init
1025
1026	USE exchange_horiz_mod, &
1027	ONLY: exchange_horiz
1028
1029	INTEGER(iwp) :: i !< running index
1030	INTEGER(iwp) :: j !< running index
1031	INTEGER(iwp) :: k !< running index
1032	INTEGER(iwp) :: m !< running index
1033
1034	LOGICAL :: lad_on_top = .FALSE. !< dummy flag to indicate that LAD is defined on a building roof
1035
1036	REAL(wp) :: canopy_height !< canopy height for lad-profile construction
1037	REAL(wp) :: gradient !< gradient for lad-profile construction
1038	REAL(wp) :: int_bpdf !< vertical integral for lad-profile construction
1039	REAL(wp) :: lad_max !< maximum LAD value in the model domain, used to perform a check
1040
1041	IF ( debug_output ) CALL debug_message( 'pcm_init', 'start' )
1042	!
1043	!-- Allocate one-dimensional arrays for the computation of the
1044	!-- leaf area density (lad) profile
1045	ALLOCATE( lad(0:nz+1), pre_lad(0:nz+1) )
1046	lad = 0.0_wp
1047	pre_lad = 0.0_wp
1048
1049	!
1050	!-- Set flag that indicates that the lad-profile shall be calculated by using
1051	!-- a beta probability density function
1052	IF ( alpha_lad /= 9999999.9_wp .AND. beta_lad /= 9999999.9_wp ) THEN
1053	calc_beta_lad_profile = .TRUE.
1054	ENDIF
1055
1056
1057	!
1058	!-- Compute the profile of leaf area density used in the plant
1059	!-- canopy model. The profile can either be constructed from
1060	!-- prescribed vertical gradients of the leaf area density or by
1061	!-- using a beta probability density function (see e.g. Markkanen et al.,
1062	!-- 2003: Boundary-Layer Meteorology, 106, 437-459)
1063	IF ( .NOT. calc_beta_lad_profile ) THEN
1064
1065	!
1066	!-- Use vertical gradients for lad-profile construction
1067	i = 1
1068	gradient = 0.0_wp
1069
1070	lad(0) = lad_surface
1071	lad_vertical_gradient_level_ind(1) = 0
1072
1073	DO k = 1, pch_index
1074	IF ( i < 11 ) THEN
1075	IF ( lad_vertical_gradient_level(i) < zu(k) .AND. &
1076	lad_vertical_gradient_level(i) >= 0.0_wp ) THEN
1077	gradient = lad_vertical_gradient(i)
1078	lad_vertical_gradient_level_ind(i) = k - 1
1079	i = i + 1
1080	ENDIF
1081	ENDIF
1082	IF ( gradient /= 0.0_wp ) THEN
1083	IF ( k /= 1 ) THEN
1084	lad(k) = lad(k-1) + dzu(k) * gradient
1085	ELSE
1086	lad(k) = lad_surface + dzu(k) * gradient
1087	ENDIF
1088	ELSE
1089	lad(k) = lad(k-1)
1090	ENDIF
1091	ENDDO
1092
1093	!
1094	!-- In case of no given leaf area density gradients, choose a vanishing
1095	!-- gradient. This information is used for the HEADER and the RUN_CONTROL
1096	!-- file.
1097	IF ( lad_vertical_gradient_level(1) == -9999999.9_wp ) THEN
1098	lad_vertical_gradient_level(1) = 0.0_wp
1099	ENDIF
1100
1101	ELSE
1102
1103	!
1104	!-- Use beta function for lad-profile construction
1105	int_bpdf = 0.0_wp
1106	canopy_height = zw(pch_index)
1107
1108	DO k = 0, pch_index
1109	int_bpdf = int_bpdf + &
1110	( ( ( zw(k) / canopy_height )*( alpha_lad-1.0_wp ) ) &
1111	( ( 1.0_wp - ( zw(k) / canopy_height ) )**( &
1112	beta_lad-1.0_wp ) ) &
1113	* ( ( zw(k+1)-zw(k) ) / canopy_height ) )
1114	ENDDO
1115
1116	!
1117	!-- Preliminary lad profile (defined on w-grid)
1118	DO k = 0, pch_index
1119	pre_lad(k) = lai_beta * &
1120	( ( ( zw(k) / canopy_height )**( alpha_lad-1.0_wp ) ) &
1121	* ( ( 1.0_wp - ( zw(k) / canopy_height ) )**( &
1122	beta_lad-1.0_wp ) ) / int_bpdf &
1123	) / canopy_height
1124	ENDDO
1125
1126	!
1127	!-- Final lad profile (defined on scalar-grid level, since most prognostic
1128	!-- quantities are defined there, hence, less interpolation is required
1129	!-- when calculating the canopy tendencies)
1130	lad(0) = pre_lad(0)
1131	DO k = 1, pch_index
1132	lad(k) = 0.5 * ( pre_lad(k-1) + pre_lad(k) )
1133	ENDDO
1134
1135	ENDIF
1136
1137	!
1138	!-- Allocate 3D-array for the leaf area density (lad_s).
1139	ALLOCATE( lad_s(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
1140
1141	!
1142	!-- Initialization of the canopy coverage in the model domain:
1143	!-- Setting the parameter canopy_mode = 'homogeneous' initializes a canopy, which
1144	!-- fully covers the domain surface
1145	SELECT CASE ( TRIM( canopy_mode ) )
1146
1147	CASE( 'homogeneous' )
1148
1149	DO i = nxlg, nxrg
1150	DO j = nysg, nyng
1151	lad_s(:,j,i) = lad(:)
1152	ENDDO
1153	ENDDO
1154
1155	CASE ( 'read_from_file' )
1156	!
1157	!-- Read plant canopy
1158	IF ( input_pids_static ) THEN
1159	!
1160	!-- Open the static input file
1161	#if defined( __netcdf )
1162	CALL open_read_file( TRIM( input_file_static ) // &
1163	TRIM( coupling_char ), &
1164	pids_id )
1165
1166	CALL inquire_num_variables( pids_id, num_var_pids )
1167	!
1168	!-- Allocate memory to store variable names and read them
1169	ALLOCATE( vars_pids(1:num_var_pids) )
1170	CALL inquire_variable_names( pids_id, vars_pids )
1171	!
1172	!-- Read leaf area density - resolved vegetation
1173	IF ( check_existence( vars_pids, 'lad' ) ) THEN
1174	leaf_area_density_f%from_file = .TRUE.
1175	CALL get_attribute( pids_id, char_fill, &
1176	leaf_area_density_f%fill, &
1177	.FALSE., 'lad' )
1178	!
1179	!-- Inquire number of vertical vegetation layer
1180	CALL get_dimension_length( pids_id, &
1181	leaf_area_density_f%nz, &
1182	'zlad' )
1183	!
1184	!-- Allocate variable for leaf-area density
1185	ALLOCATE( leaf_area_density_f%var &
1186	(0:leaf_area_density_f%nz-1, &
1187	nys:nyn,nxl:nxr) )
1188
1189	CALL get_variable( pids_id, 'lad', leaf_area_density_f%var, &
1190	nxl, nxr, nys, nyn, &
1191	0, leaf_area_density_f%nz-1 )
1192
1193	ELSE
1194	leaf_area_density_f%from_file = .FALSE.
1195	ENDIF
1196	!
1197	!-- Read basal area density - resolved vegetation
1198	IF ( check_existence( vars_pids, 'bad' ) ) THEN
1199	basal_area_density_f%from_file = .TRUE.
1200	CALL get_attribute( pids_id, char_fill, &
1201	basal_area_density_f%fill, &
1202	.FALSE., 'bad' )
1203	!
1204	!-- Inquire number of vertical vegetation layer
1205	CALL get_dimension_length( pids_id, &
1206	basal_area_density_f%nz, &
1207	'zlad' )
1208	!
1209	!-- Allocate variable
1210	ALLOCATE( basal_area_density_f%var &
1211	(0:basal_area_density_f%nz-1, &
1212	nys:nyn,nxl:nxr) )
1213
1214	CALL get_variable( pids_id, 'bad', basal_area_density_f%var,&
1215	nxl, nxr, nys, nyn, &
1216	0, basal_area_density_f%nz-1 )
1217	ELSE
1218	basal_area_density_f%from_file = .FALSE.
1219	ENDIF
1220	!
1221	!-- Read root area density - resolved vegetation
1222	IF ( check_existence( vars_pids, 'root_area_dens_r' ) ) THEN
1223	root_area_density_lad_f%from_file = .TRUE.
1224	CALL get_attribute( pids_id, char_fill, &
1225	root_area_density_lad_f%fill, &
1226	.FALSE., 'root_area_dens_r' )
1227	!
1228	!-- Inquire number of vertical soil layers
1229	CALL get_dimension_length( pids_id, &
1230	root_area_density_lad_f%nz, &
1231	'zsoil' )
1232	!
1233	!-- Allocate variable
1234	ALLOCATE( root_area_density_lad_f%var &
1235	(0:root_area_density_lad_f%nz-1,&
1236	nys:nyn,nxl:nxr) )
1237
1238	CALL get_variable( pids_id, 'root_area_dens_r', &
1239	root_area_density_lad_f%var, &
1240	nxl, nxr, nys, nyn, &
1241	0, root_area_density_lad_f%nz-1 )
1242	ELSE
1243	root_area_density_lad_f%from_file = .FALSE.
1244	ENDIF
1245
1246	DEALLOCATE( vars_pids )
1247	!
1248	!-- Finally, close the input file and deallocate temporary array
1249	CALL close_input_file( pids_id )
1250	#endif
1251	ENDIF
1252
1253	!
1254	!-- Initialize LAD with data from file. If LAD is given in NetCDF file,
1255	!-- use these values, else take LAD profiles from ASCII file.
1256	!-- Please note, in NetCDF file LAD is only given up to the maximum
1257	!-- canopy top, indicated by leaf_area_density_f%nz.
1258	lad_s = 0.0_wp
1259	IF ( leaf_area_density_f%from_file ) THEN
1260	!
1261	!-- Set also pch_index, used to be the upper bound of the vertical
1262	!-- loops. Therefore, use the global top of the canopy layer.
1263	pch_index = leaf_area_density_f%nz - 1
1264
1265	DO i = nxl, nxr
1266	DO j = nys, nyn
1267	DO k = 0, leaf_area_density_f%nz - 1
1268	IF ( leaf_area_density_f%var(k,j,i) /= &
1269	leaf_area_density_f%fill ) &
1270	lad_s(k,j,i) = leaf_area_density_f%var(k,j,i)
1271	ENDDO
1272	!
1273	!-- Check if resolved vegetation is mapped onto buildings.
1274	!-- In general, this is allowed and also meaningful, e.g.
1275	!-- when trees carry across roofs. However, due to the
1276	!-- topography filtering, new building grid points can emerge
1277	!-- at location where also plant canopy is defined. As a
1278	!-- result, plant canopy is mapped on top of roofs, with
1279	!-- siginficant impact on the downstream flow field and the
1280	!-- nearby surface radiation. In order to avoid that
1281	!-- plant canopy is mistakenly mapped onto building roofs,
1282	!-- check for building grid points (bit 6) that emerge from
1283	!-- the filtering (bit 4) and set LAD to zero at these
1284	!-- artificially created building grid points. This case,
1285	!-- an informative message is given.
1286	IF ( ANY( lad_s(:,j,i) /= 0.0_wp ) .AND. &
1287	ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) ) .AND. &
1288	ANY( BTEST( wall_flags_total_0(:,j,i), 4 ) ) ) THEN
1289	lad_s(:,j,i) = 0.0_wp
1290	lad_on_top = .TRUE.
1291	ENDIF
1292	ENDDO
1293	ENDDO
1294	#if defined( __parallel )
1295	CALL MPI_ALLREDUCE( MPI_IN_PLACE, lad_on_top, 1, MPI_LOGICAL, &
1296	MPI_LOR, comm2d, ierr)
1297	#endif
1298	IF ( lad_on_top ) THEN
1299	WRITE( message_string, * ) &
1300	'Resolved plant-canopy is ' // &
1301	'defined on top of an artificially '// &
1302	'created building grid point(s) ' // &
1303	'(emerged from the filtering) - ' // &
1304	'LAD profile is omitted at this / ' // &
1305	'these grid point(s).'
1306	CALL message( 'pcm_init', 'PA0313', 0, 0, 0, 6, 0 )
1307	ENDIF
1308	CALL exchange_horiz( lad_s, nbgp )
1309	!
1310	! ASCII file
1311	!-- Initialize canopy parameters canopy_drag_coeff,
1312	!-- leaf_scalar_exch_coeff, leaf_surface_conc
1313	!-- from file which contains complete 3D data (separate vertical profiles for
1314	!-- each location).
1315	ELSE
1316	CALL pcm_read_plant_canopy_3d
1317	ENDIF
1318
1319	CASE DEFAULT
1320	!
1321	!-- The DEFAULT case is reached either if the parameter
1322	!-- canopy mode contains a wrong character string or if the
1323	!-- user has coded a special case in the user interface.
1324	!-- There, the subroutine user_init_plant_canopy checks
1325	!-- which of these two conditions applies.
1326	CALL user_init_plant_canopy
1327
1328	END SELECT
1329	!
1330	!-- Check that at least one grid point has an LAD /= 0, else this may
1331	!-- cause errors in the radiation model.
1332	lad_max = MAXVAL( lad_s )
1333	#if defined( __parallel )
1334	CALL MPI_ALLREDUCE( MPI_IN_PLACE, lad_max, 1, MPI_REAL, MPI_MAX, &
1335	comm2d, ierr)
1336	#endif
1337	IF ( lad_max <= 0.0_wp ) THEN
1338	message_string = 'Plant-canopy model is switched-on but no ' // &
1339	'plant canopy is present in the model domain.'
1340	CALL message( 'pcm_init', 'PA0685', 1, 2, 0, 6, 0 )
1341	ENDIF
1342
1343	!
1344	!-- Initialize 2D index array indicating canopy top index.
1345	ALLOCATE( pch_index_ji(nysg:nyng,nxlg:nxrg) )
1346	pch_index_ji = 0
1347
1348	DO i = nxlg, nxrg
1349	DO j = nysg, nyng
1350	DO k = 0, pch_index
1351	IF ( lad_s(k,j,i) /= 0 ) pch_index_ji(j,i) = k
1352	ENDDO
1353	!
1354	!-- Check whether topography and local vegetation on top exceed
1355	!-- height of the model domain.
1356	IF ( topo_top_ind(j,i,0) + pch_index_ji(j,i) >= nzt + 1 ) THEN
1357	message_string = 'Local vegetation height on top of ' // &
1358	'topography exceeds height of model domain.'
1359	CALL message( 'pcm_init', 'PA0674', 2, 2, myid, 6, 0 )
1360	ENDIF
1361
1362	ENDDO
1363	ENDDO
1364	!
1365	!-- Calculate global pch_index value (index of top of plant canopy from ground)
1366	pch_index = MAXVAL( pch_index_ji )
1367	!
1368	!-- Exchange pch_index from all processors
1369	#if defined( __parallel )
1370	CALL MPI_ALLREDUCE( MPI_IN_PLACE, pch_index, 1, MPI_INTEGER, &
1371	MPI_MAX, comm2d, ierr)
1372	#endif
1373	!
1374	!-- Allocation of arrays pcm_heating_rate, pcm_transpiration_rate and pcm_latent_rate
1375	ALLOCATE( pcm_heating_rate(0:pch_index,nysg:nyng,nxlg:nxrg) )
1376	pcm_heating_rate = 0.0_wp
1377
1378	IF ( humidity ) THEN
1379	ALLOCATE( pcm_transpiration_rate(0:pch_index,nysg:nyng,nxlg:nxrg) )
1380	pcm_transpiration_rate = 0.0_wp
1381	ALLOCATE( pcm_latent_rate(0:pch_index,nysg:nyng,nxlg:nxrg) )
1382	pcm_latent_rate = 0.0_wp
1383	ENDIF
1384	!
1385	!-- Initialization of the canopy heat source distribution due to heating
1386	!-- of the canopy layers by incoming solar radiation, in case that a non-zero
1387	!-- value is set for the canopy top heat flux (cthf), which equals the
1388	!-- available net radiation at canopy top.
1389	!-- The heat source distribution is calculated by a decaying exponential
1390	!-- function of the downward cumulative leaf area index (cum_lai_hf),
1391	!-- assuming that the foliage inside the plant canopy is heated by solar
1392	!-- radiation penetrating the canopy layers according to the distribution
1393	!-- of net radiation as suggested by Brown & Covey (1966; Agric. Meteorol. 3,
1394	!-- 73â96). This approach has been applied e.g. by Shaw & Schumann (1992;
1395	!-- Bound.-Layer Meteorol. 61, 47â64).
1396	!-- When using the radiation_interactions, canopy heating (pcm_heating_rate)
1397	!-- and plant canopy transpiration (pcm_transpiration_rate, pcm_latent_rate)
1398	!-- are calculated in the RTM after the calculation of radiation.
1399	IF ( cthf /= 0.0_wp ) THEN
1400
1401	ALLOCATE( cum_lai_hf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
1402	!
1403	!-- Piecewise calculation of the cumulative leaf area index by vertical
1404	!-- integration of the leaf area density
1405	cum_lai_hf(:,:,:) = 0.0_wp
1406	DO i = nxlg, nxrg
1407	DO j = nysg, nyng
1408	DO k = pch_index_ji(j,i)-1, 0, -1
1409	IF ( k == pch_index_ji(j,i)-1 ) THEN
1410	cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + &
1411	( 0.5_wp * lad_s(k+1,j,i) * &
1412	( zw(k+1) - zu(k+1) ) ) + &
1413	( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + &
1414	lad_s(k,j,i) ) + &
1415	lad_s(k+1,j,i) ) * &
1416	( zu(k+1) - zw(k) ) )
1417	ELSE
1418	cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + &
1419	( 0.5_wp * ( 0.5_wp * ( lad_s(k+2,j,i) + &
1420	lad_s(k+1,j,i) ) + &
1421	lad_s(k+1,j,i) ) * &
1422	( zw(k+1) - zu(k+1) ) ) + &
1423	( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + &
1424	lad_s(k,j,i) ) + &
1425	lad_s(k+1,j,i) ) * &
1426	( zu(k+1) - zw(k) ) )
1427	ENDIF
1428	ENDDO
1429	ENDDO
1430	ENDDO
1431
1432	!
1433	!-- In areas with canopy the surface value of the canopy heat
1434	!-- flux distribution overrides the surface heat flux (shf)
1435	!-- Start with default surface type
1436	DO m = 1, surf_def_h(0)%ns
1437	i = surf_def_h(0)%i(m)
1438	j = surf_def_h(0)%j(m)
1439	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) &
1440	surf_def_h(0)%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) )
1441	ENDDO
1442	!
1443	!-- Natural surfaces
1444	DO m = 1, surf_lsm_h%ns
1445	i = surf_lsm_h%i(m)
1446	j = surf_lsm_h%j(m)
1447	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) &
1448	surf_lsm_h%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) )
1449	ENDDO
1450	!
1451	!-- Urban surfaces
1452	DO m = 1, surf_usm_h%ns
1453	i = surf_usm_h%i(m)
1454	j = surf_usm_h%j(m)
1455	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) &
1456	surf_usm_h%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) )
1457	ENDDO
1458	!
1459	!
1460	!-- Calculation of the heating rate (K/s) within the different layers of
1461	!-- the plant canopy. Calculation is only necessary in areas covered with
1462	!-- canopy.
1463	!-- Within the different canopy layers the plant-canopy heating
1464	!-- rate (pcm_heating_rate) is calculated as the vertical
1465	!-- divergence of the canopy heat fluxes at the top and bottom
1466	!-- of the respective layer
1467	DO i = nxlg, nxrg
1468	DO j = nysg, nyng
1469	DO k = 1, pch_index_ji(j,i)
1470	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) THEN
1471	pcm_heating_rate(k,j,i) = cthf * &
1472	( exp(-ext_coef*cum_lai_hf(k,j,i)) - &
1473	exp(-ext_coef*cum_lai_hf(k-1,j,i) ) ) / dzw(k)
1474	ENDIF
1475	ENDDO
1476	ENDDO
1477	ENDDO
1478
1479	ENDIF
1480
1481	IF ( debug_output ) CALL debug_message( 'pcm_init', 'end' )
1482
1483	END SUBROUTINE pcm_init
1484
1485
1486	!------------------------------------------------------------------------------!
1487	! Description:
1488	! ------------
1489	!> Parin for &plant_canopy_parameters for plant canopy model
1490	!------------------------------------------------------------------------------!
1491	SUBROUTINE pcm_parin
1492
1493	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
1494
1495	NAMELIST /plant_canopy_parameters/ &
1496	alpha_lad, beta_lad, canopy_drag_coeff, &
1497	canopy_mode, cthf, &
1498	lad_surface, lad_type_coef, &
1499	lad_vertical_gradient, &
1500	lad_vertical_gradient_level, &
1501	lai_beta, &
1502	leaf_scalar_exch_coeff, &
1503	leaf_surface_conc, pch_index, &
1504	plant_canopy_transpiration
1505
1506	NAMELIST /canopy_par/ alpha_lad, beta_lad, canopy_drag_coeff, &
1507	canopy_mode, cthf, &
1508	lad_surface, lad_type_coef, &
1509	lad_vertical_gradient, &
1510	lad_vertical_gradient_level, &
1511	lai_beta, &
1512	leaf_scalar_exch_coeff, &
1513	leaf_surface_conc, pch_index, &
1514	plant_canopy_transpiration
1515
1516	line = ' '
1517
1518	!
1519	!-- Try to find plant-canopy model package
1520	REWIND ( 11 )
1521	line = ' '
1522	DO WHILE ( INDEX( line, '&plant_canopy_parameters' ) == 0 )
1523	READ ( 11, '(A)', END=12 ) line
1524	ENDDO
1525	BACKSPACE ( 11 )
1526
1527	!
1528	!-- Read user-defined namelist
1529	READ ( 11, plant_canopy_parameters, ERR = 10 )
1530
1531	!
1532	!-- Set flag that indicates that the plant-canopy model is switched on
1533	plant_canopy = .TRUE.
1534
1535	GOTO 14
1536
1537	10 BACKSPACE( 11 )
1538	READ( 11 , '(A)') line
1539	CALL parin_fail_message( 'plant_canopy_parameters', line )
1540	!
1541	!-- Try to find old namelist
1542	12 REWIND ( 11 )
1543	line = ' '
1544	DO WHILE ( INDEX( line, '&canopy_par' ) == 0 )
1545	READ ( 11, '(A)', END=14 ) line
1546	ENDDO
1547	BACKSPACE ( 11 )
1548
1549	!
1550	!-- Read user-defined namelist
1551	READ ( 11, canopy_par, ERR = 13, END = 14 )
1552
1553	message_string = 'namelist canopy_par is deprecated and will be ' // &
1554	'removed in near future. Please use namelist ' // &
1555	'plant_canopy_parameters instead'
1556	CALL message( 'pcm_parin', 'PA0487', 0, 1, 0, 6, 0 )
1557
1558	!
1559	!-- Set flag that indicates that the plant-canopy model is switched on
1560	plant_canopy = .TRUE.
1561
1562	GOTO 14
1563
1564	13 BACKSPACE( 11 )
1565	READ( 11 , '(A)') line
1566	CALL parin_fail_message( 'canopy_par', line )
1567
1568	14 CONTINUE
1569
1570	END SUBROUTINE pcm_parin
1571
1572
1573	!------------------------------------------------------------------------------!
1574	! Description:
1575	! ------------
1576	!
1577	!> Loads 3D plant canopy data from file. File format is as follows:
1578	!>
1579	!> num_levels
1580	!> dtype,x,y,pctype,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1)
1581	!> dtype,x,y,pctype,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1)
1582	!> dtype,x,y,pctype,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1)
1583	!> ...
1584	!>
1585	!> i.e. first line determines number of levels and further lines represent plant
1586	!> canopy data, one line per column and variable. In each data line,
1587	!> dtype represents variable to be set:
1588	!>
1589	!> dtype=1: leaf area density (lad_s)
1590	!> dtype=2....n: some additional plant canopy input data quantity
1591	!>
1592	!> Zeros are added automatically above num_levels until top of domain. Any
1593	!> non-specified (x,y) columns have zero values as default.
1594	!------------------------------------------------------------------------------!
1595	SUBROUTINE pcm_read_plant_canopy_3d
1596
1597	USE exchange_horiz_mod, &
1598	ONLY: exchange_horiz
1599
1600	INTEGER(iwp) :: dtype !< type of input data (1=lad)
1601	INTEGER(iwp) :: pctype !< type of plant canopy (deciduous,non-deciduous,...)
1602	INTEGER(iwp) :: i, j !< running index
1603	INTEGER(iwp) :: nzp !< number of vertical layers of plant canopy
1604	INTEGER(iwp) :: nzpltop !<
1605	INTEGER(iwp) :: nzpl !<
1606	INTEGER(iwp) :: kk !<
1607
1608	REAL(wp), DIMENSION(:), ALLOCATABLE :: col !< vertical column of input data
1609
1610	!
1611	!-- Initialize lad_s array
1612	lad_s = 0.0_wp
1613
1614	!
1615	!-- Open and read plant canopy input data
1616	OPEN(152, FILE='PLANT_CANOPY_DATA_3D' // TRIM( coupling_char ), &
1617	ACCESS='SEQUENTIAL', ACTION='READ', STATUS='OLD', &
1618	FORM='FORMATTED', ERR=515)
1619	READ(152, *, ERR=516, END=517) nzp !< read first line = number of vertical layers
1620	nzpltop = MIN(nzt+1, nzb+nzp-1)
1621	nzpl = nzpltop - nzb + 1 !< no. of layers to assign
1622	ALLOCATE( col(0:nzp-1) )
1623
1624	DO
1625	READ(152, *, ERR=516, END=517) dtype, i, j, pctype, col(:)
1626	IF ( i < nxlg .OR. i > nxrg .OR. j < nysg .OR. j > nyng ) CYCLE
1627
1628	SELECT CASE (dtype)
1629	CASE( 1 ) !< leaf area density
1630	!
1631	!-- This is just the pure canopy layer assumed to be grounded to
1632	!-- a flat domain surface. At locations where plant canopy sits
1633	!-- on top of any kind of topography, the vertical plant column
1634	!-- must be "lifted", which is done in SUBROUTINE pcm_tendency.
1635	IF ( pctype < 0 .OR. pctype > 10 ) THEN !< incorrect plant canopy type
1636	WRITE( message_string, * ) 'Incorrect type of plant canopy. ' // &
1637	'Allowed values 0 <= pctype <= 10, ' // &
1638	'but pctype is ', pctype
1639	CALL message( 'pcm_read_plant_canopy_3d', 'PA0349', 1, 2, 0, 6, 0 )
1640	ENDIF
1641	kk = topo_top_ind(j,i,0)
1642	lad_s(nzb:nzpltop-kk, j, i) = col(kk:nzpl-1)*lad_type_coef(pctype)
1643	CASE DEFAULT
1644	WRITE(message_string, '(a,i2,a)') &
1645	'Unknown record type in file PLANT_CANOPY_DATA_3D: "', dtype, '"'
1646	CALL message( 'pcm_read_plant_canopy_3d', 'PA0530', 1, 2, 0, 6, 0 )
1647	END SELECT
1648	ENDDO
1649
1650	515 message_string = 'error opening file PLANT_CANOPY_DATA_3D'
1651	CALL message( 'pcm_read_plant_canopy_3d', 'PA0531', 1, 2, 0, 6, 0 )
1652
1653	516 message_string = 'error reading file PLANT_CANOPY_DATA_3D'
1654	CALL message( 'pcm_read_plant_canopy_3d', 'PA0532', 1, 2, 0, 6, 0 )
1655
1656	517 CLOSE(152)
1657	DEALLOCATE( col )
1658
1659	CALL exchange_horiz( lad_s, nbgp )
1660
1661	END SUBROUTINE pcm_read_plant_canopy_3d
1662
1663	!------------------------------------------------------------------------------!
1664	! Description:
1665	! ------------
1666	!> Read module-specific global restart data (Fortran binary format).
1667	!------------------------------------------------------------------------------!
1668	SUBROUTINE pcm_rrd_global_ftn( found )
1669
1670	LOGICAL, INTENT(OUT) :: found
1671
1672	found = .TRUE.
1673
1674	SELECT CASE ( restart_string(1:length) )
1675
1676	CASE ( 'pch_index' )
1677	READ ( 13 ) pch_index
1678
1679	CASE DEFAULT
1680
1681	found = .FALSE.
1682
1683	END SELECT
1684
1685	END SUBROUTINE pcm_rrd_global_ftn
1686
1687	!------------------------------------------------------------------------------!
1688	! Description:
1689	! ------------
1690	!> Read module-specific global restart data (MPI-IO).
1691	!------------------------------------------------------------------------------!
1692	SUBROUTINE pcm_rrd_global_mpi
1693
1694	CALL rrd_mpi_io( 'pch_index', pch_index )
1695
1696	END SUBROUTINE pcm_rrd_global_mpi
1697
1698
1699	!------------------------------------------------------------------------------!
1700	! Description:
1701	! ------------
1702	!> Read module-specific local restart data arrays (Fortran binary format).
1703	!------------------------------------------------------------------------------!
1704	SUBROUTINE pcm_rrd_local_ftn( k, nxlf, nxlc, nxl_on_file, nxrf, nxrc, &
1705	nxr_on_file, nynf, nync, nyn_on_file, nysf, &
1706	nysc, nys_on_file, found )
1707
1708	INTEGER(iwp) :: k !<
1709	INTEGER(iwp) :: nxlc !<
1710	INTEGER(iwp) :: nxlf !<
1711	INTEGER(iwp) :: nxl_on_file !<
1712	INTEGER(iwp) :: nxrc !<
1713	INTEGER(iwp) :: nxrf !<
1714	INTEGER(iwp) :: nxr_on_file !<
1715	INTEGER(iwp) :: nync !<
1716	INTEGER(iwp) :: nynf !<
1717	INTEGER(iwp) :: nyn_on_file !<
1718	INTEGER(iwp) :: nysc !<
1719	INTEGER(iwp) :: nysf !<
1720	INTEGER(iwp) :: nys_on_file !<
1721
1722	LOGICAL, INTENT(OUT) :: found
1723
1724	REAL(wp), DIMENSION(0:pch_index, &
1725	nys_on_file-nbgp:nyn_on_file+nbgp, &
1726	nxl_on_file-nbgp:nxr_on_file+nbgp) :: tmp_3d2 !< temporary 3D array for entire vertical
1727	!< extension of canopy layer
1728	found = .TRUE.
1729
1730	SELECT CASE ( restart_string(1:length) )
1731
1732	CASE ( 'pcm_heatrate_av' )
1733	IF ( .NOT. ALLOCATED( pcm_heatrate_av ) ) THEN
1734	ALLOCATE( pcm_heatrate_av(0:pch_index,nysg:nyng,nxlg:nxrg) )
1735	pcm_heatrate_av = 0.0_wp
1736	ENDIF
1737	IF ( k == 1 ) READ ( 13 ) tmp_3d2
1738	pcm_heatrate_av(0:pch_index,nysc-nbgp:nync+nbgp,nxlc-nbgp:nxrc+nbgp) = &
1739	tmp_3d2(0:pch_index,nysf-nbgp:nynf+nbgp,nxlf-nbgp:nxrf+nbgp)
1740
1741	CASE ( 'pcm_latentrate_av' )
1742	IF ( .NOT. ALLOCATED( pcm_latentrate_av ) ) THEN
1743	ALLOCATE( pcm_latentrate_av(0:pch_index,nysg:nyng,nxlg:nxrg) )
1744	pcm_latentrate_av = 0.0_wp
1745	ENDIF
1746	IF ( k == 1 ) READ ( 13 ) tmp_3d2
1747	pcm_latentrate_av(0:pch_index,nysc-nbgp:nync+nbgp,nxlc-nbgp:nxrc+nbgp) = &
1748	tmp_3d2(0:pch_index,nysf-nbgp:nynf+nbgp,nxlf-nbgp:nxrf+nbgp)
1749
1750	CASE ( 'pcm_transpirationrate_av' )
1751	IF ( .NOT. ALLOCATED( pcm_transpirationrate_av ) ) THEN
1752	ALLOCATE( pcm_transpirationrate_av(0:pch_index,nysg:nyng,nxlg:nxrg) )
1753	pcm_transpirationrate_av = 0.0_wp
1754	ENDIF
1755	IF ( k == 1 ) READ ( 13 ) tmp_3d2
1756	pcm_transpirationrate_av(0:pch_index,nysc-nbgp:nync+nbgp,nxlc-nbgp:nxrc+nbgp) = &
1757	tmp_3d2(0:pch_index,nysf-nbgp:nynf+nbgp,nxlf-nbgp:nxrf+nbgp)
1758
1759	CASE DEFAULT
1760
1761	found = .FALSE.
1762
1763	END SELECT
1764
1765	END SUBROUTINE pcm_rrd_local_ftn
1766
1767
1768	!------------------------------------------------------------------------------!
1769	! Description:
1770	! ------------
1771	!> Read module-specific local restart data arrays (MPI-IO).
1772	!------------------------------------------------------------------------------!
1773	SUBROUTINE pcm_rrd_local_mpi
1774
1775	IMPLICIT NONE
1776
1777	LOGICAL :: array_found !<
1778
1779	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: tmp_3d !< temporary array to store pcm data with
1780	!< non-standard vertical index bounds
1781
1782	!
1783	!-- Plant canopy arrays have non standard reduced vertical index bounds. They are stored with
1784	!-- full vertical bounds (bzb:nzt+1) in the restart file and must be re-stored after reading.
1785	CALL rd_mpi_io_check_array( 'pcm_heatrate_av' , found = array_found )
1786	IF ( array_found ) THEN
1787	IF ( .NOT. ALLOCATED( pcm_heatrate_av ) ) THEN
1788	ALLOCATE( pcm_heatrate_av(nzb:pch_index,nysg:nyng,nxlg:nxrg) )
1789	ENDIF
1790	ALLOCATE( tmp_3d(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
1791	CALL rrd_mpi_io( 'pcm_heatrate_av', tmp_3d )
1792	pcm_heatrate_av = tmp_3d(nzb:pch_index,:,:)
1793	DEALLOCATE( tmp_3d )
1794	ENDIF
1795
1796	CALL rd_mpi_io_check_array( 'pcm_latentrate_av' , found = array_found )
1797	IF ( array_found ) THEN
1798	IF ( .NOT. ALLOCATED( pcm_latentrate_av ) ) THEN
1799	ALLOCATE( pcm_latentrate_av(nzb:pch_index,nysg:nyng,nxlg:nxrg) )
1800	ENDIF
1801	ALLOCATE( tmp_3d(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
1802	CALL rrd_mpi_io( 'pcm_latentrate_av', tmp_3d )
1803	pcm_latentrate_av = tmp_3d(nzb:pch_index,:,:)
1804	DEALLOCATE( tmp_3d )
1805	ENDIF
1806
1807	CALL rd_mpi_io_check_array( 'pcm_transpirationrate_av' , found = array_found )
1808	IF ( array_found ) THEN
1809	IF ( .NOT. ALLOCATED( pcm_transpirationrate_av ) ) THEN
1810	ALLOCATE( pcm_transpirationrate_av(nzb:pch_index,nysg:nyng,nxlg:nxrg) )
1811	ENDIF
1812	ALLOCATE( tmp_3d(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
1813	CALL rrd_mpi_io( 'pcm_transpirationrate_av', tmp_3d )
1814	pcm_transpirationrate_av = tmp_3d(nzb:pch_index,:,:)
1815	DEALLOCATE( tmp_3d )
1816	ENDIF
1817
1818	END SUBROUTINE pcm_rrd_local_mpi
1819
1820
1821	!------------------------------------------------------------------------------!
1822	! Description:
1823	! ------------
1824	!> Calculation of the tendency terms, accounting for the effect of the plant
1825	!> canopy on momentum and scalar quantities.
1826	!>
1827	!> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0
1828	!> (defined on scalar grid), as initialized in subroutine pcm_init.
1829	!> The lad on the w-grid is vertically interpolated from the surrounding
1830	!> lad_s. The upper boundary of the canopy is defined on the w-grid at
1831	!> k = pch_index. Here, the lad is zero.
1832	!>
1833	!> The canopy drag must be limited (previously accounted for by calculation of
1834	!> a limiting canopy timestep for the determination of the maximum LES timestep
1835	!> in subroutine timestep), since it is physically impossible that the canopy
1836	!> drag alone can locally change the sign of a velocity component. This
1837	!> limitation is realized by calculating preliminary tendencies and velocities.
1838	!> It is subsequently checked if the preliminary new velocity has a different
1839	!> sign than the current velocity. If so, the tendency is limited in a way that
1840	!> the velocity can at maximum be reduced to zero by the canopy drag.
1841	!>
1842	!>
1843	!> Call for all grid points
1844	!------------------------------------------------------------------------------!
1845	SUBROUTINE pcm_tendency( component )
1846
1847	INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e)
1848	INTEGER(iwp) :: i !< running index
1849	INTEGER(iwp) :: j !< running index
1850	INTEGER(iwp) :: k !< running index
1851	INTEGER(iwp) :: kk !< running index for flat lad arrays
1852
1853	LOGICAL :: building_edge_e !< control flag indicating an eastward-facing building edge
1854	LOGICAL :: building_edge_n !< control flag indicating a north-facing building edge
1855	LOGICAL :: building_edge_s !< control flag indicating a south-facing building edge
1856	LOGICAL :: building_edge_w !< control flag indicating a westward-facing building edge
1857
1858	REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d)
1859	REAL(wp) :: lad_local !< local lad value
1860	REAL(wp) :: pre_tend !< preliminary tendency
1861	REAL(wp) :: pre_u !< preliminary u-value
1862	REAL(wp) :: pre_v !< preliminary v-value
1863	REAL(wp) :: pre_w !< preliminary w-value
1864
1865
1866	ddt_3d = 1.0_wp / dt_3d
1867
1868	!
1869	!-- Compute drag for the three velocity components and the SGS-TKE:
1870	SELECT CASE ( component )
1871
1872	!
1873	!-- u-component
1874	CASE ( 1 )
1875	DO i = nxlu, nxr
1876	DO j = nys, nyn
1877	!
1878	!-- Set control flags indicating east- and westward-orientated
1879	!-- building edges. Note, building_egde_w is set from the perspective
1880	!-- of the potential rooftop grid point, while building_edge_e is
1881	!-- is set from the perspective of the non-building grid point.
1882	building_edge_w = ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) )&
1883	.AND. .NOT. ANY( BTEST( wall_flags_total_0(:,j,i-1), 6 ) )
1884	building_edge_e = ANY( BTEST( wall_flags_total_0(:,j,i-1), 6 ) )&
1885	.AND. .NOT. ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) )
1886	!
1887	!-- Determine topography-top index on u-grid
1888	DO k = topo_top_ind(j,i,1)+1, topo_top_ind(j,i,1) + pch_index_ji(j,i)
1889
1890	kk = k - topo_top_ind(j,i,1) !- lad arrays are defined flat
1891	!
1892	!-- In order to create sharp boundaries of the plant canopy,
1893	!-- the lad on the u-grid at index (k,j,i) is equal to lad_s(k,j,i),
1894	!-- rather than being interpolated from the surrounding lad_s,
1895	!-- because this would yield smaller lad at the canopy boundaries
1896	!-- than inside of the canopy.
1897	!-- For the same reason, the lad at the rightmost(i+1)canopy
1898	!-- boundary on the u-grid equals lad_s(k,j,i), which is considered
1899	!-- in the next if-statement. Note, at left-sided building edges
1900	!-- this is not applied, here the LAD is equals the LAD at grid
1901	!-- point (k,j,i), in order to avoid that LAD is mistakenly mapped
1902	!-- on top of a roof where (usually) is no LAD is defined.
1903	lad_local = lad_s(kk,j,i)
1904	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp &
1905	.AND. .NOT. building_edge_w ) lad_local = lad_s(kk,j,i-1)
1906	!
1907	!-- In order to avoid that LAD is mistakenly considered at right-
1908	!-- sided building edges (here the topography-top index for the
1909	!-- u-component at index j,i is still on the building while the
1910	!-- topography top for the scalar isn't), LAD is taken from grid
1911	!-- point (j,i-1).
1912	IF ( lad_local > 0.0_wp .AND. lad_s(kk,j,i-1) == 0.0_wp &
1913	.AND. building_edge_e ) lad_local = lad_s(kk,j,i-1)
1914
1915	pre_tend = 0.0_wp
1916	pre_u = 0.0_wp
1917	!
1918	!-- Calculate preliminary value (pre_tend) of the tendency
1919	pre_tend = - canopy_drag_coeff * &
1920	lad_local * &
1921	SQRT( u(k,j,i)**2 + &
1922	( 0.25_wp * ( v(k,j,i-1) + &
1923	v(k,j,i) + &
1924	v(k,j+1,i) + &
1925	v(k,j+1,i-1) ) &
1926	)**2 + &
1927	( 0.25_wp * ( w(k-1,j,i-1) + &
1928	w(k-1,j,i) + &
1929	w(k,j,i-1) + &
1930	w(k,j,i) ) &
1931	)**2 &
1932	) * &
1933	u(k,j,i)
1934
1935	!
1936	!-- Calculate preliminary new velocity, based on pre_tend
1937	pre_u = u(k,j,i) + dt_3d * pre_tend
1938	!
1939	!-- Compare sign of old velocity and new preliminary velocity,
1940	!-- and in case the signs are different, limit the tendency
1941	IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN
1942	pre_tend = - u(k,j,i) * ddt_3d
1943	ENDIF
1944	!
1945	!-- Calculate final tendency
1946	tend(k,j,i) = tend(k,j,i) + pre_tend
1947
1948	ENDDO
1949	ENDDO
1950	ENDDO
1951
1952	!
1953	!-- v-component
1954	CASE ( 2 )
1955	DO i = nxl, nxr
1956	DO j = nysv, nyn
1957	!
1958	!-- Set control flags indicating north- and southward-orientated
1959	!-- building edges. Note, building_egde_s is set from the perspective
1960	!-- of the potential rooftop grid point, while building_edge_n is
1961	!-- is set from the perspective of the non-building grid point.
1962	building_edge_s = ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) )&
1963	.AND. .NOT. ANY( BTEST( wall_flags_total_0(:,j-1,i), 6 ) )
1964	building_edge_n = ANY( BTEST( wall_flags_total_0(:,j-1,i), 6 ) )&
1965	.AND. .NOT. ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) )
1966	!
1967	!-- Determine topography-top index on v-grid
1968	DO k = topo_top_ind(j,i,2)+1, topo_top_ind(j,i,2) + pch_index_ji(j,i)
1969
1970	kk = k - topo_top_ind(j,i,2) !- lad arrays are defined flat
1971	!
1972	!-- In order to create sharp boundaries of the plant canopy,
1973	!-- the lad on the v-grid at index (k,j,i) is equal to lad_s(k,j,i),
1974	!-- rather than being interpolated from the surrounding lad_s,
1975	!-- because this would yield smaller lad at the canopy boundaries
1976	!-- than inside of the canopy.
1977	!-- For the same reason, the lad at the northmost(j+1)canopy
1978	!-- boundary on the v-grid equals lad_s(k,j,i), which is considered
1979	!-- in the next if-statement. Note, at left-sided building edges
1980	!-- this is not applied, here the LAD is equals the LAD at grid
1981	!-- point (k,j,i), in order to avoid that LAD is mistakenly mapped
1982	!-- on top of a roof where (usually) is no LAD is defined.
1983	lad_local = lad_s(kk,j,i)
1984	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp &
1985	.AND. .NOT. building_edge_s ) lad_local = lad_s(kk,j-1,i)
1986	!
1987	!-- In order to avoid that LAD is mistakenly considered at right-
1988	!-- sided building edges (here the topography-top index for the
1989	!-- u-component at index j,i is still on the building while the
1990	!-- topography top for the scalar isn't), LAD is taken from grid
1991	!-- point (j,i-1).
1992	IF ( lad_local > 0.0_wp .AND. lad_s(kk,j-1,i) == 0.0_wp &
1993	.AND. building_edge_n ) lad_local = lad_s(kk,j-1,i)
1994
1995	pre_tend = 0.0_wp
1996	pre_v = 0.0_wp
1997	!
1998	!-- Calculate preliminary value (pre_tend) of the tendency
1999	pre_tend = - canopy_drag_coeff * &
2000	lad_local * &
2001	SQRT( ( 0.25_wp * ( u(k,j-1,i) + &
2002	u(k,j-1,i+1) + &
2003	u(k,j,i) + &
2004	u(k,j,i+1) ) &
2005	)**2 + &
2006	v(k,j,i)**2 + &
2007	( 0.25_wp * ( w(k-1,j-1,i) + &
2008	w(k-1,j,i) + &
2009	w(k,j-1,i) + &
2010	w(k,j,i) ) &
2011	)**2 &
2012	) * &
2013	v(k,j,i)
2014
2015	!
2016	!-- Calculate preliminary new velocity, based on pre_tend
2017	pre_v = v(k,j,i) + dt_3d * pre_tend
2018	!
2019	!-- Compare sign of old velocity and new preliminary velocity,
2020	!-- and in case the signs are different, limit the tendency
2021	IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN
2022	pre_tend = - v(k,j,i) * ddt_3d
2023	ELSE
2024	pre_tend = pre_tend
2025	ENDIF
2026	!
2027	!-- Calculate final tendency
2028	tend(k,j,i) = tend(k,j,i) + pre_tend
2029
2030	ENDDO
2031	ENDDO
2032	ENDDO
2033
2034	!
2035	!-- w-component
2036	CASE ( 3 )
2037	DO i = nxl, nxr
2038	DO j = nys, nyn
2039	!
2040	!-- Determine topography-top index on w-grid
2041	DO k = topo_top_ind(j,i,3)+1, topo_top_ind(j,i,3) + pch_index_ji(j,i) - 1
2042
2043	kk = k - topo_top_ind(j,i,3) !- lad arrays are defined flat
2044
2045	pre_tend = 0.0_wp
2046	pre_w = 0.0_wp
2047	!
2048	!-- Calculate preliminary value (pre_tend) of the tendency
2049	pre_tend = - canopy_drag_coeff * &
2050	(0.5_wp * &
2051	( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * &
2052	SQRT( ( 0.25_wp * ( u(k,j,i) + &
2053	u(k,j,i+1) + &
2054	u(k+1,j,i) + &
2055	u(k+1,j,i+1) ) &
2056	)**2 + &
2057	( 0.25_wp * ( v(k,j,i) + &
2058	v(k,j+1,i) + &
2059	v(k+1,j,i) + &
2060	v(k+1,j+1,i) ) &
2061	)**2 + &
2062	w(k,j,i)**2 &
2063	) * &
2064	w(k,j,i)
2065	!
2066	!-- Calculate preliminary new velocity, based on pre_tend
2067	pre_w = w(k,j,i) + dt_3d * pre_tend
2068	!
2069	!-- Compare sign of old velocity and new preliminary velocity,
2070	!-- and in case the signs are different, limit the tendency
2071	IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN
2072	pre_tend = - w(k,j,i) * ddt_3d
2073	ELSE
2074	pre_tend = pre_tend
2075	ENDIF
2076	!
2077	!-- Calculate final tendency
2078	tend(k,j,i) = tend(k,j,i) + pre_tend
2079
2080	ENDDO
2081	ENDDO
2082	ENDDO
2083
2084	!
2085	!-- potential temperature
2086	CASE ( 4 )
2087	IF ( humidity ) THEN
2088	DO i = nxl, nxr
2089	DO j = nys, nyn
2090	!-- Determine topography-top index on scalar-grid
2091	DO k = topo_top_ind(j,i,0)+1, topo_top_ind(j,i,0) + pch_index_ji(j,i)
2092	kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat
2093	tend(k,j,i) = tend(k,j,i) + pcm_heating_rate(kk,j,i) - pcm_latent_rate(kk,j,i)
2094	ENDDO
2095	ENDDO
2096	ENDDO
2097	ELSE
2098	DO i = nxl, nxr
2099	DO j = nys, nyn
2100	!-- Determine topography-top index on scalar-grid
2101	DO k = topo_top_ind(j,i,0)+1, topo_top_ind(j,i,0) + pch_index_ji(j,i)
2102	kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat
2103	tend(k,j,i) = tend(k,j,i) + pcm_heating_rate(kk,j,i)
2104	ENDDO
2105	ENDDO
2106	ENDDO
2107	ENDIF
2108
2109	!
2110	!-- humidity
2111	CASE ( 5 )
2112	DO i = nxl, nxr
2113	DO j = nys, nyn
2114	!
2115	!-- Determine topography-top index on scalar-grid
2116	DO k = topo_top_ind(j,i,0)+1, topo_top_ind(j,i,0) + pch_index_ji(j,i)
2117
2118	kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat
2119
2120	IF ( .NOT. plant_canopy_transpiration ) THEN
2121	! pcm_transpiration_rate is calculated in radiation model
2122	! in case of plant_canopy_transpiration = .T.
2123	! to include also the dependecy to the radiation
2124	! in the plant canopy box
2125	pcm_transpiration_rate(kk,j,i) = - leaf_scalar_exch_coeff &
2126	* lad_s(kk,j,i) * &
2127	SQRT( ( 0.5_wp * ( u(k,j,i) + &
2128	u(k,j,i+1) ) &
2129	)**2 + &
2130	( 0.5_wp * ( v(k,j,i) + &
2131	v(k,j+1,i) ) &
2132	)**2 + &
2133	( 0.5_wp * ( w(k-1,j,i) + &
2134	w(k,j,i) ) &
2135	)**2 &
2136	) * &
2137	( q(k,j,i) - leaf_surface_conc )
2138	ENDIF
2139
2140	tend(k,j,i) = tend(k,j,i) + pcm_transpiration_rate(kk,j,i)
2141	ENDDO
2142	ENDDO
2143	ENDDO
2144
2145	!
2146	!-- sgs-tke
2147	CASE ( 6 )
2148	DO i = nxl, nxr
2149	DO j = nys, nyn
2150	!
2151	!-- Determine topography-top index on scalar-grid
2152	DO k = topo_top_ind(j,i,0)+1, topo_top_ind(j,i,0) + pch_index_ji(j,i)
2153
2154	kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat
2155	tend(k,j,i) = tend(k,j,i) - &
2156	2.0_wp * canopy_drag_coeff * &
2157	lad_s(kk,j,i) * &
2158	SQRT( ( 0.5_wp * ( u(k,j,i) + &
2159	u(k,j,i+1) ) &
2160	)**2 + &
2161	( 0.5_wp * ( v(k,j,i) + &
2162	v(k,j+1,i) ) &
2163	)**2 + &
2164	( 0.5_wp * ( w(k,j,i) + &
2165	w(k+1,j,i) ) &
2166	)**2 &
2167	) * &
2168	e(k,j,i)
2169	ENDDO
2170	ENDDO
2171	ENDDO
2172	!
2173	!-- scalar concentration
2174	CASE ( 7 )
2175	DO i = nxl, nxr
2176	DO j = nys, nyn
2177	!
2178	!-- Determine topography-top index on scalar-grid
2179	DO k = topo_top_ind(j,i,0)+1, topo_top_ind(j,i,0) + pch_index_ji(j,i)
2180
2181	kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat
2182	tend(k,j,i) = tend(k,j,i) - &
2183	leaf_scalar_exch_coeff * &
2184	lad_s(kk,j,i) * &
2185	SQRT( ( 0.5_wp * ( u(k,j,i) + &
2186	u(k,j,i+1) ) &
2187	)**2 + &
2188	( 0.5_wp * ( v(k,j,i) + &
2189	v(k,j+1,i) ) &
2190	)**2 + &
2191	( 0.5_wp * ( w(k-1,j,i) + &
2192	w(k,j,i) ) &
2193	)**2 &
2194	) * &
2195	( s(k,j,i) - leaf_surface_conc )
2196	ENDDO
2197	ENDDO
2198	ENDDO
2199
2200
2201
2202	CASE DEFAULT
2203
2204	WRITE( message_string, * ) 'wrong component: ', component
2205	CALL message( 'pcm_tendency', 'PA0279', 1, 2, 0, 6, 0 )
2206
2207	END SELECT
2208
2209	END SUBROUTINE pcm_tendency
2210
2211
2212	!------------------------------------------------------------------------------!
2213	! Description:
2214	! ------------
2215	!> Calculation of the tendency terms, accounting for the effect of the plant
2216	!> canopy on momentum and scalar quantities.
2217	!>
2218	!> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0
2219	!> (defined on scalar grid), as initialized in subroutine pcm_init.
2220	!> The lad on the w-grid is vertically interpolated from the surrounding
2221	!> lad_s. The upper boundary of the canopy is defined on the w-grid at
2222	!> k = pch_index. Here, the lad is zero.
2223	!>
2224	!> The canopy drag must be limited (previously accounted for by calculation of
2225	!> a limiting canopy timestep for the determination of the maximum LES timestep
2226	!> in subroutine timestep), since it is physically impossible that the canopy
2227	!> drag alone can locally change the sign of a velocity component. This
2228	!> limitation is realized by calculating preliminary tendencies and velocities.
2229	!> It is subsequently checked if the preliminary new velocity has a different
2230	!> sign than the current velocity. If so, the tendency is limited in a way that
2231	!> the velocity can at maximum be reduced to zero by the canopy drag.
2232	!>
2233	!>
2234	!> Call for grid point i,j
2235	!------------------------------------------------------------------------------!
2236	SUBROUTINE pcm_tendency_ij( i, j, component )
2237
2238	INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e)
2239	INTEGER(iwp) :: i !< running index
2240	INTEGER(iwp) :: j !< running index
2241	INTEGER(iwp) :: k !< running index
2242	INTEGER(iwp) :: kk !< running index for flat lad arrays
2243
2244	LOGICAL :: building_edge_e !< control flag indicating an eastward-facing building edge
2245	LOGICAL :: building_edge_n !< control flag indicating a north-facing building edge
2246	LOGICAL :: building_edge_s !< control flag indicating a south-facing building edge
2247	LOGICAL :: building_edge_w !< control flag indicating a westward-facing building edge
2248
2249	REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d)
2250	REAL(wp) :: lad_local !< local lad value
2251	REAL(wp) :: pre_tend !< preliminary tendency
2252	REAL(wp) :: pre_u !< preliminary u-value
2253	REAL(wp) :: pre_v !< preliminary v-value
2254	REAL(wp) :: pre_w !< preliminary w-value
2255
2256
2257	ddt_3d = 1.0_wp / dt_3d
2258	!
2259	!-- Compute drag for the three velocity components and the SGS-TKE
2260	SELECT CASE ( component )
2261
2262	!
2263	!-- u-component
2264	CASE ( 1 )
2265	!
2266	!-- Set control flags indicating east- and westward-orientated
2267	!-- building edges. Note, building_egde_w is set from the perspective
2268	!-- of the potential rooftop grid point, while building_edge_e is
2269	!-- is set from the perspective of the non-building grid point.
2270	building_edge_w = ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) ) .AND. &
2271	.NOT. ANY( BTEST( wall_flags_total_0(:,j,i-1), 6 ) )
2272	building_edge_e = ANY( BTEST( wall_flags_total_0(:,j,i-1), 6 ) ) .AND. &
2273	.NOT. ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) )
2274	!
2275	!-- Determine topography-top index on u-grid
2276	DO k = topo_top_ind(j,i,1) + 1, topo_top_ind(j,i,1) + pch_index_ji(j,i)
2277
2278	kk = k - topo_top_ind(j,i,1) !- lad arrays are defined flat
2279
2280	!
2281	!-- In order to create sharp boundaries of the plant canopy,
2282	!-- the lad on the u-grid at index (k,j,i) is equal to lad_s(k,j,i),
2283	!-- rather than being interpolated from the surrounding lad_s,
2284	!-- because this would yield smaller lad at the canopy boundaries
2285	!-- than inside of the canopy.
2286	!-- For the same reason, the lad at the rightmost(i+1)canopy
2287	!-- boundary on the u-grid equals lad_s(k,j,i), which is considered
2288	!-- in the next if-statement. Note, at left-sided building edges
2289	!-- this is not applied, here the LAD is equals the LAD at grid
2290	!-- point (k,j,i), in order to avoid that LAD is mistakenly mapped
2291	!-- on top of a roof where (usually) is no LAD is defined.
2292	lad_local = lad_s(kk,j,i)
2293	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp .AND. &
2294	.NOT. building_edge_w ) lad_local = lad_s(kk,j,i-1)
2295	!
2296	!-- In order to avoid that LAD is mistakenly considered at right-
2297	!-- sided building edges (here the topography-top index for the
2298	!-- u-component at index j,i is still on the building while the
2299	!-- topography top for the scalar isn't), LAD is taken from grid
2300	!-- point (j,i-1).
2301	IF ( lad_local > 0.0_wp .AND. lad_s(kk,j,i-1) == 0.0_wp .AND. &
2302	building_edge_e ) lad_local = lad_s(kk,j,i-1)
2303
2304	pre_tend = 0.0_wp
2305	pre_u = 0.0_wp
2306	!
2307	!-- Calculate preliminary value (pre_tend) of the tendency
2308	pre_tend = - canopy_drag_coeff * &
2309	lad_local * &
2310	SQRT( u(k,j,i)**2 + &
2311	( 0.25_wp * ( v(k,j,i-1) + &
2312	v(k,j,i) + &
2313	v(k,j+1,i) + &
2314	v(k,j+1,i-1) ) &
2315	)**2 + &
2316	( 0.25_wp * ( w(k-1,j,i-1) + &
2317	w(k-1,j,i) + &
2318	w(k,j,i-1) + &
2319	w(k,j,i) ) &
2320	)**2 &
2321	) * &
2322	u(k,j,i)
2323
2324	!
2325	!-- Calculate preliminary new velocity, based on pre_tend
2326	pre_u = u(k,j,i) + dt_3d * pre_tend
2327	!
2328	!-- Compare sign of old velocity and new preliminary velocity,
2329	!-- and in case the signs are different, limit the tendency
2330	IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN
2331	pre_tend = - u(k,j,i) * ddt_3d
2332	ELSE
2333	pre_tend = pre_tend
2334	ENDIF
2335	!
2336	!-- Calculate final tendency
2337	tend(k,j,i) = tend(k,j,i) + pre_tend
2338	ENDDO
2339
2340
2341	!
2342	!-- v-component
2343	CASE ( 2 )
2344	!
2345	!-- Set control flags indicating north- and southward-orientated
2346	!-- building edges. Note, building_egde_s is set from the perspective
2347	!-- of the potential rooftop grid point, while building_edge_n is
2348	!-- is set from the perspective of the non-building grid point.
2349	building_edge_s = ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) ) .AND. &
2350	.NOT. ANY( BTEST( wall_flags_total_0(:,j-1,i), 6 ) )
2351	building_edge_n = ANY( BTEST( wall_flags_total_0(:,j-1,i), 6 ) ) .AND. &
2352	.NOT. ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) )
2353	!
2354	!-- Determine topography-top index on v-grid
2355	DO k = topo_top_ind(j,i,2) + 1, topo_top_ind(j,i,2) + pch_index_ji(j,i)
2356
2357	kk = k - topo_top_ind(j,i,2) !- lad arrays are defined flat
2358	!
2359	!-- In order to create sharp boundaries of the plant canopy,
2360	!-- the lad on the v-grid at index (k,j,i) is equal to lad_s(k,j,i),
2361	!-- rather than being interpolated from the surrounding lad_s,
2362	!-- because this would yield smaller lad at the canopy boundaries
2363	!-- than inside of the canopy.
2364	!-- For the same reason, the lad at the northmost(j+1)canopy
2365	!-- boundary on the v-grid equals lad_s(k,j,i), which is considered
2366	!-- in the next if-statement. Note, at left-sided building edges
2367	!-- this is not applied, here the LAD is equals the LAD at grid
2368	!-- point (k,j,i), in order to avoid that LAD is mistakenly mapped
2369	!-- on top of a roof where (usually) is no LAD is defined.
2370	lad_local = lad_s(kk,j,i)
2371	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp .AND. &
2372	.NOT. building_edge_s ) lad_local = lad_s(kk,j-1,i)
2373	!
2374	!-- In order to avoid that LAD is mistakenly considered at right-
2375	!-- sided building edges (here the topography-top index for the
2376	!-- u-component at index j,i is still on the building while the
2377	!-- topography top for the scalar isn't), LAD is taken from grid
2378	!-- point (j,i-1).
2379	IF ( lad_local > 0.0_wp .AND. lad_s(kk,j-1,i) == 0.0_wp .AND. &
2380	building_edge_n ) lad_local = lad_s(kk,j-1,i)
2381
2382	pre_tend = 0.0_wp
2383	pre_v = 0.0_wp
2384	!
2385	!-- Calculate preliminary value (pre_tend) of the tendency
2386	pre_tend = - canopy_drag_coeff * &
2387	lad_local * &
2388	SQRT( ( 0.25_wp * ( u(k,j-1,i) + &
2389	u(k,j-1,i+1) + &
2390	u(k,j,i) + &
2391	u(k,j,i+1) ) &
2392	)**2 + &
2393	v(k,j,i)**2 + &
2394	( 0.25_wp * ( w(k-1,j-1,i) + &
2395	w(k-1,j,i) + &
2396	w(k,j-1,i) + &
2397	w(k,j,i) ) &
2398	)**2 &
2399	) * &
2400	v(k,j,i)
2401
2402	!
2403	!-- Calculate preliminary new velocity, based on pre_tend
2404	pre_v = v(k,j,i) + dt_3d * pre_tend
2405	!
2406	!-- Compare sign of old velocity and new preliminary velocity,
2407	!-- and in case the signs are different, limit the tendency
2408	IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN
2409	pre_tend = - v(k,j,i) * ddt_3d
2410	ELSE
2411	pre_tend = pre_tend
2412	ENDIF
2413	!
2414	!-- Calculate final tendency
2415	tend(k,j,i) = tend(k,j,i) + pre_tend
2416	ENDDO
2417
2418
2419	!
2420	!-- w-component
2421	CASE ( 3 )
2422	!
2423	!-- Determine topography-top index on w-grid
2424	DO k = topo_top_ind(j,i,3) + 1, topo_top_ind(j,i,3) + pch_index_ji(j,i) - 1
2425
2426	kk = k - topo_top_ind(j,i,3) !- lad arrays are defined flat
2427
2428	pre_tend = 0.0_wp
2429	pre_w = 0.0_wp
2430	!
2431	!-- Calculate preliminary value (pre_tend) of the tendency
2432	pre_tend = - canopy_drag_coeff * &
2433	(0.5_wp * &
2434	( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * &
2435	SQRT( ( 0.25_wp * ( u(k,j,i) + &
2436	u(k,j,i+1) + &
2437	u(k+1,j,i) + &
2438	u(k+1,j,i+1) ) &
2439	)**2 + &
2440	( 0.25_wp * ( v(k,j,i) + &
2441	v(k,j+1,i) + &
2442	v(k+1,j,i) + &
2443	v(k+1,j+1,i) ) &
2444	)**2 + &
2445	w(k,j,i)**2 &
2446	) * &
2447	w(k,j,i)
2448	!
2449	!-- Calculate preliminary new velocity, based on pre_tend
2450	pre_w = w(k,j,i) + dt_3d * pre_tend
2451	!
2452	!-- Compare sign of old velocity and new preliminary velocity,
2453	!-- and in case the signs are different, limit the tendency
2454	IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN
2455	pre_tend = - w(k,j,i) * ddt_3d
2456	ELSE
2457	pre_tend = pre_tend
2458	ENDIF
2459	!
2460	!-- Calculate final tendency
2461	tend(k,j,i) = tend(k,j,i) + pre_tend
2462	ENDDO
2463
2464	!
2465	!-- potential temperature
2466	CASE ( 4 )
2467	!
2468	!-- Determine topography-top index on scalar grid
2469	IF ( humidity ) THEN
2470	DO k = topo_top_ind(j,i,0) + 1, topo_top_ind(j,i,0) + pch_index_ji(j,i)
2471	kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat
2472	tend(k,j,i) = tend(k,j,i) + pcm_heating_rate(kk,j,i) - &
2473	pcm_latent_rate(kk,j,i)
2474	ENDDO
2475	ELSE
2476	DO k = topo_top_ind(j,i,0) + 1, topo_top_ind(j,i,0) + pch_index_ji(j,i)
2477	kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat
2478	tend(k,j,i) = tend(k,j,i) + pcm_heating_rate(kk,j,i)
2479	ENDDO
2480	ENDIF
2481
2482	!
2483	!-- humidity
2484	CASE ( 5 )
2485	!
2486	!-- Determine topography-top index on scalar grid
2487	DO k = topo_top_ind(j,i,0) + 1, topo_top_ind(j,i,0) + pch_index_ji(j,i)
2488	kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat
2489	IF ( .NOT. plant_canopy_transpiration ) THEN
2490	! pcm_transpiration_rate is calculated in radiation model
2491	! in case of plant_canopy_transpiration = .T.
2492	! to include also the dependecy to the radiation
2493	! in the plant canopy box
2494	pcm_transpiration_rate(kk,j,i) = - leaf_scalar_exch_coeff &
2495	* lad_s(kk,j,i) * &
2496	SQRT( ( 0.5_wp * ( u(k,j,i) + &
2497	u(k,j,i+1) ) &
2498	)**2 + &
2499	( 0.5_wp * ( v(k,j,i) + &
2500	v(k,j+1,i) ) &
2501	)**2 + &
2502	( 0.5_wp * ( w(k-1,j,i) + &
2503	w(k,j,i) ) &
2504	)**2 &
2505	) * &
2506	( q(k,j,i) - leaf_surface_conc )
2507	ENDIF
2508
2509	tend(k,j,i) = tend(k,j,i) + pcm_transpiration_rate(kk,j,i)
2510
2511	ENDDO
2512
2513	!
2514	!-- sgs-tke
2515	CASE ( 6 )
2516	!
2517	!-- Determine topography-top index on scalar grid
2518	DO k = topo_top_ind(j,i,0) + 1, topo_top_ind(j,i,0) + pch_index_ji(j,i)
2519
2520	kk = k - topo_top_ind(j,i,0)
2521	tend(k,j,i) = tend(k,j,i) - &
2522	2.0_wp * canopy_drag_coeff * &
2523	lad_s(kk,j,i) * &
2524	SQRT( ( 0.5_wp * ( u(k,j,i) + &
2525	u(k,j,i+1) ) &
2526	)**2 + &
2527	( 0.5_wp * ( v(k,j,i) + &
2528	v(k,j+1,i) ) &
2529	)**2 + &
2530	( 0.5_wp * ( w(k,j,i) + &
2531	w(k+1,j,i) ) &
2532	)**2 &
2533	) * &
2534	e(k,j,i)
2535	ENDDO
2536
2537	!
2538	!-- scalar concentration
2539	CASE ( 7 )
2540	!
2541	!-- Determine topography-top index on scalar grid
2542	DO k = topo_top_ind(j,i,0) + 1, topo_top_ind(j,i,0) + pch_index_ji(j,i)
2543
2544	kk = k - topo_top_ind(j,i,0)
2545	tend(k,j,i) = tend(k,j,i) - &
2546	leaf_scalar_exch_coeff * &
2547	lad_s(kk,j,i) * &
2548	SQRT( ( 0.5_wp * ( u(k,j,i) + &
2549	u(k,j,i+1) ) &
2550	)**2 + &
2551	( 0.5_wp * ( v(k,j,i) + &
2552	v(k,j+1,i) ) &
2553	)**2 + &
2554	( 0.5_wp * ( w(k-1,j,i) + &
2555	w(k,j,i) ) &
2556	)**2 &
2557	) * &
2558	( s(k,j,i) - leaf_surface_conc )
2559	ENDDO
2560
2561	CASE DEFAULT
2562
2563	WRITE( message_string, * ) 'wrong component: ', component
2564	CALL message( 'pcm_tendency', 'PA0279', 1, 2, 0, 6, 0 )
2565
2566	END SELECT
2567
2568	END SUBROUTINE pcm_tendency_ij
2569
2570	!------------------------------------------------------------------------------!
2571	! Description:
2572	! ------------
2573	!> Subroutine writes global restart data
2574	!------------------------------------------------------------------------------!
2575	SUBROUTINE pcm_wrd_global
2576
2577	IF ( TRIM( restart_data_format_output ) == 'fortran_binary' ) THEN
2578
2579	CALL wrd_write_string( 'pch_index' )
2580	WRITE ( 14 ) pch_index
2581
2582	ELSEIF ( restart_data_format_output(1:3) == 'mpi' ) THEN
2583
2584	CALL wrd_mpi_io( 'pch_index', pch_index )
2585
2586	ENDIF
2587
2588	END SUBROUTINE pcm_wrd_global
2589
2590	!------------------------------------------------------------------------------!
2591	! Description:
2592	! ------------
2593	!> Subroutine writes local (subdomain) restart data
2594	!------------------------------------------------------------------------------!
2595	SUBROUTINE pcm_wrd_local
2596
2597	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: tmp_3d !< temporary array to store pcm data with
2598	!< non-standard vertical index bounds
2599
2600	IF ( TRIM( restart_data_format_output ) == 'fortran_binary' ) THEN
2601
2602	IF ( ALLOCATED( pcm_heatrate_av ) ) THEN
2603	CALL wrd_write_string( 'pcm_heatrate_av' )
2604	WRITE ( 14 ) pcm_heatrate_av
2605	ENDIF
2606
2607	IF ( ALLOCATED( pcm_latentrate_av ) ) THEN
2608	CALL wrd_write_string( 'pcm_latentrate_av' )
2609	WRITE ( 14 ) pcm_latentrate_av
2610	ENDIF
2611
2612	IF ( ALLOCATED( pcm_transpirationrate_av ) ) THEN
2613	CALL wrd_write_string( 'pcm_transpirationrate_av' )
2614	WRITE ( 14 ) pcm_transpirationrate_av
2615	ENDIF
2616
2617	ELSEIF ( restart_data_format_output(1:3) == 'mpi' ) THEN
2618
2619	!
2620	!-- Plant canopy arrays have non standard reduced vertical index bounds. They are stored with
2621	!-- full vertical bounds (bzb:nzt+1) in the restart file and must be re-stored before writing.
2622	IF ( ALLOCATED( pcm_heatrate_av ) ) THEN
2623	ALLOCATE( tmp_3d(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
2624	tmp_3d(nzb:pch_index,:,:) = pcm_heatrate_av
2625	tmp_3d(pch_index+1:nzt+1,:,:) = 0.0_wp
2626	CALL wrd_mpi_io( 'pcm_heatrate_av', tmp_3d )
2627	DEALLOCATE( tmp_3d )
2628	ENDIF
2629	IF ( ALLOCATED( pcm_latentrate_av ) ) THEN
2630	ALLOCATE( tmp_3d(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
2631	tmp_3d(nzb:pch_index,:,:) = pcm_latentrate_av
2632	tmp_3d(pch_index+1:nzt+1,:,:) = 0.0_wp
2633	CALL wrd_mpi_io( 'pcm_latentrate_av', tmp_3d )
2634	DEALLOCATE( tmp_3d )
2635	ENDIF
2636	IF ( ALLOCATED( pcm_transpirationrate_av ) ) THEN
2637	ALLOCATE( tmp_3d(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
2638	tmp_3d(nzb:pch_index,:,:) = pcm_transpirationrate_av
2639	tmp_3d(pch_index+1:nzt+1,:,:) = 0.0_wp
2640	CALL wrd_mpi_io( 'pcm_transpirationrate_av', tmp_3d )
2641	DEALLOCATE( tmp_3d )
2642	ENDIF
2643
2644	ENDIF
2645
2646	END SUBROUTINE pcm_wrd_local
2647
2648
2649	END MODULE plant_canopy_model_mod

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