Home

Context Navigation

source: palm/trunk/SOURCE/plant_canopy_model_mod.f90 @ 3275

Last change on this file since 3275 was 3274, checked in by knoop, 6 years ago
Modularization of all bulk cloud physics code components
Property svn:keywords set to `Id`
File size: 75.8 KB

Line
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 1997-2018 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! ------------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: plant_canopy_model_mod.f90 3274 2018-09-24 15:42:55Z knoop $
27	! Modularization of all bulk cloud physics code components
28	!
29	! 3248 2018-09-14 09:42:06Z sward
30	! Minor formating changes
31	!
32	! 3246 2018-09-13 15:14:50Z sward
33	! Added error handling for input namelist via parin_fail_message
34	!
35	! 3241 2018-09-12 15:02:00Z raasch
36	! unused variables removed
37	!
38	! 3065 2018-06-12 07:03:02Z Giersch
39	! dz was replaced by the help of zw to allow for vertical stretching
40	!
41	! 3049 2018-05-29 13:52:36Z Giersch
42	! Error messages revised
43	!
44	! 3045 2018-05-28 07:55:41Z Giersch
45	! Error message revised
46	!
47	! 3022 2018-05-18 11:12:35Z suehring
48	! Bugfix in allocation of transpiration rate
49	!
50	! 3014 2018-05-09 08:42:38Z maronga
51	! Bugfix: nzb_do and nzt_do were not used for 3d data output
52	! Added pc_transpiration_rate
53	!
54	! 2977 2018-04-17 10:27:57Z kanani
55	! Implement changes from branch radiation (r2948-2971) with minor modifications,
56	! plus some formatting.
57	! (moh.hefny):
58	! Add plant canopy type to account for changes in LAD (based on the changes
59	! done by Resler & Pavel) and correct the error message to PALM Standard.
60	!
61	! 2932 2018-03-26 09:39:22Z maronga
62	! renamed canopy_par to plant_canopy_parameters
63	!
64	! 2920 2018-03-22 11:22:01Z kanani
65	! Move usm_lad_rma and prototype_lad to radiation_model (moh.hefny)
66	!
67	! 2892 2018-03-14 15:06:29Z suehring
68	! Bugfix, read separate ASCII LAD files for parent and child model.
69	!
70	! 2770 2018-01-25 15:10:09Z kanani
71	! Correction of parameter check
72	!
73	! 2768 2018-01-24 15:38:29Z kanani
74	! Added check for output quantity pcm_heatrate, some formatting
75	!
76	! 2766 2018-01-22 17:17:47Z kanani
77	! Increased LEN of canopy mode to 30
78	!
79	! 2746 2018-01-15 12:06:04Z suehring
80	! Move flag plant canopy to modules
81	!
82	! 2718 2018-01-02 08:49:38Z maronga
83	! Corrected "Former revisions" section
84	!
85	! 2701 2017-12-15 15:40:50Z suehring
86	! Changes from last commit documented
87	!
88	! 2698 2017-12-14 18:46:24Z suehring
89	! Bugfix in get_topography_top_index
90	!
91	! 2696 2017-12-14 17:12:51Z kanani
92	! Change in file header (GPL part)
93	! Bugfix for vertical loop index pch_index in case of Netcdf input
94	! Introduce 2D index array incorporate canopy top index
95	! Check if canopy on top of topography do not exceed vertical dimension
96	! Add check for canopy_mode in case of Netcdf input.
97	! Enable _FillValue output for 3d quantities
98	! Bugfix in reading of PIDS leaf area density (MS)
99	!
100	! 2669 2017-12-06 16:03:27Z raasch
101	! coupling_char removed
102	!
103	! 2512 2017-10-04 08:26:59Z raasch
104	! upper bounds of 3d output changed from nx+1,ny+1 to nx,ny
105	! no output of ghost layer data
106	!
107	! 2318 2017-07-20 17:27:44Z suehring
108	! Get topography top index via Function call
109	!
110	! 2317 2017-07-20 17:27:19Z suehring
111	! Changed error messages
112	!
113	! 2233 2017-05-30 18:08:54Z suehring
114	!
115	! 2232 2017-05-30 17:47:52Z suehring
116	! Adjustments to new topography concept
117	!
118	! 2213 2017-04-24 15:10:35Z kanani
119	! Bugfix: exchange of ghost points in array pc_heating_rate needed for output
120	! of pcm_heatrate, onetime ghost point exchange of lad_s after initialization.
121	! Formatting and clean-up of subroutine pcm_read_plant_canopy_3d,
122	! minor re-organization of canopy-heating initialization.
123	!
124	! 2209 2017-04-19 09:34:46Z kanani
125	! Added 3d output of leaf area density (pcm_lad) and canopy
126	! heat rate (pcm_heatrate)
127	!
128	! 2024 2016-10-12 16:42:37Z kanani
129	! Added missing lad_s initialization
130	!
131	! 2011 2016-09-19 17:29:57Z kanani
132	! Renamed canopy_heat_flux to pc_heating_rate, since the original meaning/
133	! calculation of the quantity has changed, related to the urban surface model
134	! and similar future applications.
135	!
136	! 2007 2016-08-24 15:47:17Z kanani
137	! Added SUBROUTINE pcm_read_plant_canopy_3d for reading 3d plant canopy data
138	! from file (new case canopy_mode=read_from_file_3d) in the course of
139	! introduction of urban surface model,
140	! introduced variable ext_coef,
141	! resorted SUBROUTINEs to alphabetical order
142	!
143	! 2000 2016-08-20 18:09:15Z knoop
144	! Forced header and separation lines into 80 columns
145	!
146	! 1960 2016-07-12 16:34:24Z suehring
147	! Separate humidity and passive scalar
148	!
149	! 1953 2016-06-21 09:28:42Z suehring
150	! Bugfix, lad_s and lad must be public
151	!
152	! 1826 2016-04-07 12:01:39Z maronga
153	! Further modularization
154	!
155	! 1721 2015-11-16 12:56:48Z raasch
156	! bugfixes: shf is reduced in areas covered with canopy only,
157	! canopy is set on top of topography
158	!
159	! 1682 2015-10-07 23:56:08Z knoop
160	! Code annotations made doxygen readable
161	!
162	! 1484 2014-10-21 10:53:05Z kanani
163	! Changes due to new module structure of the plant canopy model:
164	! module plant_canopy_model_mod now contains a subroutine for the
165	! initialization of the canopy model (pcm_init),
166	! limitation of the canopy drag (previously accounted for by calculation of
167	! a limiting canopy timestep for the determination of the maximum LES timestep
168	! in subroutine timestep) is now realized by the calculation of pre-tendencies
169	! and preliminary velocities in subroutine pcm_tendency,
170	! some redundant MPI communication removed in subroutine pcm_init
171	! (was previously in init_3d_model),
172	! unnecessary 3d-arrays lad_u, lad_v, lad_w removed - lad information on the
173	! respective grid is now provided only by lad_s (e.g. in the calculation of
174	! the tendency terms or of cum_lai_hf),
175	! drag_coefficient, lai, leaf_surface_concentration,
176	! scalar_exchange_coefficient, sec and sls renamed to canopy_drag_coeff,
177	! cum_lai_hf, leaf_surface_conc, leaf_scalar_exch_coeff, lsec and lsc,
178	! respectively,
179	! unnecessary 3d-arrays cdc, lsc and lsec now defined as single-value constants,
180	! USE-statements and ONLY-lists modified accordingly
181	!
182	! 1340 2014-03-25 19:45:13Z kanani
183	! REAL constants defined as wp-kind
184	!
185	! 1320 2014-03-20 08:40:49Z raasch
186	! ONLY-attribute added to USE-statements,
187	! kind-parameters added to all INTEGER and REAL declaration statements,
188	! kinds are defined in new module kinds,
189	! old module precision_kind is removed,
190	! revision history before 2012 removed,
191	! comment fields (!:) to be used for variable explanations added to
192	! all variable declaration statements
193	!
194	! 1036 2012-10-22 13:43:42Z raasch
195	! code put under GPL (PALM 3.9)
196	!
197	! 138 2007-11-28 10:03:58Z letzel
198	! Initial revision
199	!
200	! Description:
201	! ------------
202	!> 1) Initialization of the canopy model, e.g. construction of leaf area density
203	!> profile (subroutine pcm_init).
204	!> 2) Calculation of sinks and sources of momentum, heat and scalar concentration
205	!> due to canopy elements (subroutine pcm_tendency).
206	!------------------------------------------------------------------------------!
207	MODULE plant_canopy_model_mod
208
209	USE arrays_3d, &
210	ONLY: dzu, dzw, e, q, s, tend, u, v, w, zu, zw
211
212	USE indices, &
213	ONLY: nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, &
214	nz, nzb, nzt
215
216	USE kinds
217
218	USE surface_mod, &
219	ONLY: get_topography_top_index_ji
220
221
222	IMPLICIT NONE
223
224
225	CHARACTER (LEN=30) :: canopy_mode = 'block' !< canopy coverage
226
227	INTEGER(iwp) :: pch_index = 0 !< plant canopy height/top index
228	INTEGER(iwp) :: lad_vertical_gradient_level_ind(10) = -9999 !< lad-profile levels (index)
229
230	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: pch_index_ji !< local plant canopy top
231
232	LOGICAL :: calc_beta_lad_profile = .FALSE. !< switch for calc. of lad from beta func.
233
234	REAL(wp) :: alpha_lad = 9999999.9_wp !< coefficient for lad calculation
235	REAL(wp) :: beta_lad = 9999999.9_wp !< coefficient for lad calculation
236	REAL(wp) :: canopy_drag_coeff = 0.0_wp !< canopy drag coefficient (parameter)
237	REAL(wp) :: cdc = 0.0_wp !< canopy drag coeff. (abbreviation used in equations)
238	REAL(wp) :: cthf = 0.0_wp !< canopy top heat flux
239	REAL(wp) :: dt_plant_canopy = 0.0_wp !< timestep account. for canopy drag
240	REAL(wp) :: ext_coef = 0.6_wp !< extinction coefficient
241	REAL(wp) :: lad_surface = 0.0_wp !< lad surface value
242	REAL(wp) :: lai_beta = 0.0_wp !< leaf area index (lai) for lad calc.
243	REAL(wp) :: leaf_scalar_exch_coeff = 0.0_wp !< canopy scalar exchange coeff.
244	REAL(wp) :: leaf_surface_conc = 0.0_wp !< leaf surface concentration
245	REAL(wp) :: lsc = 0.0_wp !< leaf surface concentration
246	REAL(wp) :: lsec = 0.0_wp !< leaf scalar exchange coeff.
247
248	REAL(wp) :: lad_vertical_gradient(10) = 0.0_wp !< lad gradient
249	REAL(wp) :: lad_vertical_gradient_level(10) = -9999999.9_wp !< lad-prof. levels (in m)
250
251	REAL(wp) :: lad_type_coef(0:10) = 1.0_wp !< multiplicative coeficients for particular types
252	!< of plant canopy (e.g. deciduous tree during winter)
253
254	REAL(wp), DIMENSION(:), ALLOCATABLE :: lad !< leaf area density
255	REAL(wp), DIMENSION(:), ALLOCATABLE :: pre_lad !< preliminary lad
256
257	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: cum_lai_hf !< cumulative lai for heatflux calc.
258	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: lad_s !< lad on scalar-grid
259	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pc_heating_rate !< plant canopy heating rate
260	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pc_transpiration_rate !< plant canopy transpiration rate
261
262	SAVE
263
264
265	PRIVATE
266
267	!
268	!-- Public functions
269	PUBLIC pcm_check_data_output, pcm_check_parameters, pcm_data_output_3d, &
270	pcm_define_netcdf_grid, pcm_header, pcm_init, pcm_parin, pcm_tendency
271
272	!
273	!-- Public variables and constants
274	PUBLIC pc_heating_rate, pc_transpiration_rate, canopy_mode, cthf, dt_plant_canopy, lad, lad_s, &
275	pch_index
276
277
278	INTERFACE pcm_check_data_output
279	MODULE PROCEDURE pcm_check_data_output
280	END INTERFACE pcm_check_data_output
281
282	INTERFACE pcm_check_parameters
283	MODULE PROCEDURE pcm_check_parameters
284	END INTERFACE pcm_check_parameters
285
286	INTERFACE pcm_data_output_3d
287	MODULE PROCEDURE pcm_data_output_3d
288	END INTERFACE pcm_data_output_3d
289
290	INTERFACE pcm_define_netcdf_grid
291	MODULE PROCEDURE pcm_define_netcdf_grid
292	END INTERFACE pcm_define_netcdf_grid
293
294	INTERFACE pcm_header
295	MODULE PROCEDURE pcm_header
296	END INTERFACE pcm_header
297
298	INTERFACE pcm_init
299	MODULE PROCEDURE pcm_init
300	END INTERFACE pcm_init
301
302	INTERFACE pcm_parin
303	MODULE PROCEDURE pcm_parin
304	END INTERFACE pcm_parin
305
306	INTERFACE pcm_read_plant_canopy_3d
307	MODULE PROCEDURE pcm_read_plant_canopy_3d
308	END INTERFACE pcm_read_plant_canopy_3d
309
310	INTERFACE pcm_tendency
311	MODULE PROCEDURE pcm_tendency
312	MODULE PROCEDURE pcm_tendency_ij
313	END INTERFACE pcm_tendency
314
315
316	CONTAINS
317
318
319	!------------------------------------------------------------------------------!
320	! Description:
321	! ------------
322	!> Check data output for plant canopy model
323	!------------------------------------------------------------------------------!
324	SUBROUTINE pcm_check_data_output( var, unit )
325
326
327	USE control_parameters, &
328	ONLY: message_string, urban_surface
329
330	IMPLICIT NONE
331
332	CHARACTER (LEN=*) :: unit !<
333	CHARACTER (LEN=*) :: var !<
334
335
336	SELECT CASE ( TRIM( var ) )
337
338	CASE ( 'pcm_heatrate' )
339	IF ( cthf == 0.0_wp .AND. .NOT. urban_surface ) THEN
340	message_string = 'output of "' // TRIM( var ) // '" requi' // &
341	'res setting of parameter cthf /= 0.0'
342	CALL message( 'pcm_check_data_output', 'PA1000', 1, 2, 0, 6, 0 )
343	ENDIF
344	unit = 'K s-1'
345
346	CASE ( 'pcm_transpirationrate' )
347	unit = 'kg kg-1 s-1'
348
349	CASE ( 'pcm_lad' )
350	unit = 'm2 m-3'
351
352
353	CASE DEFAULT
354	unit = 'illegal'
355
356	END SELECT
357
358
359	END SUBROUTINE pcm_check_data_output
360
361
362	!------------------------------------------------------------------------------!
363	! Description:
364	! ------------
365	!> Check parameters routine for plant canopy model
366	!------------------------------------------------------------------------------!
367	SUBROUTINE pcm_check_parameters
368
369	USE control_parameters, &
370	ONLY: coupling_char, message_string
371
372	USE bulk_cloud_model_mod, &
373	ONLY: bulk_cloud_model, microphysics_seifert
374
375	USE netcdf_data_input_mod, &
376	ONLY: input_file_static, input_pids_static
377
378
379	IMPLICIT NONE
380
381
382	IF ( canopy_drag_coeff == 0.0_wp ) THEN
383	message_string = 'plant_canopy = .TRUE. requires a non-zero drag '// &
384	'coefficient & given value is canopy_drag_coeff = 0.0'
385	CALL message( 'pcm_check_parameters', 'PA0041', 1, 2, 0, 6, 0 )
386	ENDIF
387
388	IF ( ( alpha_lad /= 9999999.9_wp .AND. beta_lad == 9999999.9_wp ) .OR.&
389	beta_lad /= 9999999.9_wp .AND. alpha_lad == 9999999.9_wp ) THEN
390	message_string = 'using the beta function for the construction ' // &
391	'of the leaf area density profile requires ' // &
392	'both alpha_lad and beta_lad to be /= 9999999.9'
393	CALL message( 'pcm_check_parameters', 'PA0118', 1, 2, 0, 6, 0 )
394	ENDIF
395
396	IF ( calc_beta_lad_profile .AND. lai_beta == 0.0_wp ) THEN
397	message_string = 'using the beta function for the construction ' // &
398	'of the leaf area density profile requires ' // &
399	'a non-zero lai_beta, but given value is ' // &
400	'lai_beta = 0.0'
401	CALL message( 'pcm_check_parameters', 'PA0119', 1, 2, 0, 6, 0 )
402	ENDIF
403
404	IF ( calc_beta_lad_profile .AND. lad_surface /= 0.0_wp ) THEN
405	message_string = 'simultaneous setting of alpha_lad /= 9999999.9 '// &
406	'combined with beta_lad /= 9999999.9 ' // &
407	'and lad_surface /= 0.0 is not possible, ' // &
408	'use either vertical gradients or the beta ' // &
409	'function for the construction of the leaf area '// &
410	'density profile'
411	CALL message( 'pcm_check_parameters', 'PA0120', 1, 2, 0, 6, 0 )
412	ENDIF
413
414	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
415	message_string = 'plant_canopy = .TRUE. requires cloud_scheme /=' // &
416	' seifert_beheng'
417	CALL message( 'pcm_check_parameters', 'PA0360', 1, 2, 0, 6, 0 )
418	ENDIF
419	!
420	!-- If dynamic input file is used, canopy need to be read from file
421	IF ( input_pids_static .AND. &
422	TRIM( canopy_mode ) /= 'read_from_file_3d' ) THEN
423	message_string = 'Usage of dynamic input file ' // &
424	TRIM( input_file_static ) // &
425	TRIM( coupling_char ) // ' requires ' // &
426	'canopy_mode = read_from_file_3d'
427	CALL message( 'pcm_check_parameters', 'PA0999', 1, 2, 0, 6, 0 )
428	ENDIF
429
430
431	END SUBROUTINE pcm_check_parameters
432
433
434	!------------------------------------------------------------------------------!
435	!
436	! Description:
437	! ------------
438	!> Subroutine defining 3D output variables
439	!------------------------------------------------------------------------------!
440	SUBROUTINE pcm_data_output_3d( av, variable, found, local_pf, fill_value, &
441	nzb_do, nzt_do )
442
443	USE indices
444
445	USE kinds
446
447
448	IMPLICIT NONE
449
450	CHARACTER (LEN=*) :: variable !<
451
452	INTEGER(iwp) :: av !<
453	INTEGER(iwp) :: i !<
454	INTEGER(iwp) :: j !<
455	INTEGER(iwp) :: k !<
456	INTEGER(iwp) :: k_topo !< topography top index
457	INTEGER(iwp) :: nzb_do !< lower limit of the data output (usually 0)
458	INTEGER(iwp) :: nzt_do !< vertical upper limit of the data output (usually nz_do3d)
459
460	LOGICAL :: found !<
461
462	REAL(wp) :: fill_value
463	REAL(sp), DIMENSION(nxl:nxr,nys:nyn,nzb_do:nzt_do) :: local_pf !<
464
465
466	found = .TRUE.
467
468	local_pf = REAL( fill_value, KIND = 4 )
469
470	SELECT CASE ( TRIM( variable ) )
471
472	CASE ( 'pcm_heatrate' )
473	IF ( av == 0 ) THEN
474	DO i = nxl, nxr
475	DO j = nys, nyn
476	IF ( pch_index_ji(j,i) /= 0 ) THEN
477	k_topo = get_topography_top_index_ji( j, i, 's' )
478	DO k = k_topo, k_topo + pch_index_ji(j,i)
479	local_pf(i,j,k) = pc_heating_rate(k-k_topo,j,i)
480	ENDDO
481	ENDIF
482	ENDDO
483	ENDDO
484	ENDIF
485
486	CASE ( 'pcm_transpirationrate' )
487	IF ( av == 0 ) THEN
488	DO i = nxl, nxr
489	DO j = nys, nyn
490	IF ( pch_index_ji(j,i) /= 0 ) THEN
491	k_topo = get_topography_top_index_ji( j, i, 's' )
492	DO k = k_topo, k_topo + pch_index_ji(j,i)
493	local_pf(i,j,k) = pc_transpiration_rate(k-k_topo,j,i)
494	ENDDO
495	ENDIF
496	ENDDO
497	ENDDO
498	ENDIF
499
500	CASE ( 'pcm_lad' )
501	IF ( av == 0 ) THEN
502	DO i = nxl, nxr
503	DO j = nys, nyn
504	IF ( pch_index_ji(j,i) /= 0 ) THEN
505	k_topo = get_topography_top_index_ji( j, i, 's' )
506	DO k = k_topo, k_topo + pch_index_ji(j,i)
507	local_pf(i,j,k) = lad_s(k-k_topo,j,i)
508	ENDDO
509	ENDIF
510	ENDDO
511	ENDDO
512	ENDIF
513
514
515	CASE DEFAULT
516	found = .FALSE.
517
518	END SELECT
519
520
521	END SUBROUTINE pcm_data_output_3d
522
523	!------------------------------------------------------------------------------!
524	!
525	! Description:
526	! ------------
527	!> Subroutine defining appropriate grid for netcdf variables.
528	!> It is called from subroutine netcdf.
529	!------------------------------------------------------------------------------!
530	SUBROUTINE pcm_define_netcdf_grid( var, found, grid_x, grid_y, grid_z )
531
532	IMPLICIT NONE
533
534	CHARACTER (LEN=*), INTENT(IN) :: var !<
535	LOGICAL, INTENT(OUT) :: found !<
536	CHARACTER (LEN=*), INTENT(OUT) :: grid_x !<
537	CHARACTER (LEN=*), INTENT(OUT) :: grid_y !<
538	CHARACTER (LEN=*), INTENT(OUT) :: grid_z !<
539
540	found = .TRUE.
541
542	!
543	!-- Check for the grid
544	SELECT CASE ( TRIM( var ) )
545
546	CASE ( 'pcm_heatrate', 'pcm_lad', 'pcm_transpirationrate')
547	grid_x = 'x'
548	grid_y = 'y'
549	grid_z = 'zu'
550
551	CASE DEFAULT
552	found = .FALSE.
553	grid_x = 'none'
554	grid_y = 'none'
555	grid_z = 'none'
556	END SELECT
557
558	END SUBROUTINE pcm_define_netcdf_grid
559
560
561	!------------------------------------------------------------------------------!
562	! Description:
563	! ------------
564	!> Header output for plant canopy model
565	!------------------------------------------------------------------------------!
566	SUBROUTINE pcm_header ( io )
567
568	USE control_parameters, &
569	ONLY: passive_scalar
570
571
572	IMPLICIT NONE
573
574	CHARACTER (LEN=10) :: coor_chr !<
575
576	CHARACTER (LEN=86) :: coordinates !<
577	CHARACTER (LEN=86) :: gradients !<
578	CHARACTER (LEN=86) :: leaf_area_density !<
579	CHARACTER (LEN=86) :: slices !<
580
581	INTEGER(iwp) :: i !<
582	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
583	INTEGER(iwp) :: k !<
584
585	REAL(wp) :: canopy_height !< canopy height (in m)
586
587	canopy_height = zw(pch_index)
588
589	WRITE ( io, 1 ) canopy_mode, canopy_height, pch_index, &
590	canopy_drag_coeff
591	IF ( passive_scalar ) THEN
592	WRITE ( io, 2 ) leaf_scalar_exch_coeff, &
593	leaf_surface_conc
594	ENDIF
595
596	!
597	!-- Heat flux at the top of vegetation
598	WRITE ( io, 3 ) cthf
599
600	!
601	!-- Leaf area density profile, calculated either from given vertical
602	!-- gradients or from beta probability density function.
603	IF ( .NOT. calc_beta_lad_profile ) THEN
604
605	!-- Building output strings, starting with surface value
606	WRITE ( leaf_area_density, '(F7.4)' ) lad_surface
607	gradients = '------'
608	slices = ' 0'
609	coordinates = ' 0.0'
610	i = 1
611	DO WHILE ( i < 11 .AND. lad_vertical_gradient_level_ind(i) &
612	/= -9999 )
613
614	WRITE (coor_chr,'(F7.2)') lad(lad_vertical_gradient_level_ind(i))
615	leaf_area_density = TRIM( leaf_area_density ) // ' ' // &
616	TRIM( coor_chr )
617
618	WRITE (coor_chr,'(F7.2)') lad_vertical_gradient(i)
619	gradients = TRIM( gradients ) // ' ' // TRIM( coor_chr )
620
621	WRITE (coor_chr,'(I7)') lad_vertical_gradient_level_ind(i)
622	slices = TRIM( slices ) // ' ' // TRIM( coor_chr )
623
624	WRITE (coor_chr,'(F7.1)') lad_vertical_gradient_level(i)
625	coordinates = TRIM( coordinates ) // ' ' // TRIM( coor_chr )
626
627	i = i + 1
628	ENDDO
629
630	WRITE ( io, 4 ) TRIM( coordinates ), TRIM( leaf_area_density ), &
631	TRIM( gradients ), TRIM( slices )
632
633	ELSE
634
635	WRITE ( leaf_area_density, '(F7.4)' ) lad_surface
636	coordinates = ' 0.0'
637
638	DO k = 1, pch_index
639
640	WRITE (coor_chr,'(F7.2)') lad(k)
641	leaf_area_density = TRIM( leaf_area_density ) // ' ' // &
642	TRIM( coor_chr )
643
644	WRITE (coor_chr,'(F7.1)') zu(k)
645	coordinates = TRIM( coordinates ) // ' ' // TRIM( coor_chr )
646
647	ENDDO
648
649	WRITE ( io, 5 ) TRIM( coordinates ), TRIM( leaf_area_density ), &
650	alpha_lad, beta_lad, lai_beta
651
652	ENDIF
653
654	1 FORMAT (//' Vegetation canopy (drag) model:'/ &
655	' ------------------------------'// &
656	' Canopy mode: ', A / &
657	' Canopy height: ',F6.2,'m (',I4,' grid points)' / &
658	' Leaf drag coefficient: ',F6.2 /)
659	2 FORMAT (/ ' Scalar exchange coefficient: ',F6.2 / &
660	' Scalar concentration at leaf surfaces in kg/m**3: ',F6.2 /)
661	3 FORMAT (' Predefined constant heatflux at the top of the vegetation: ',F6.2, &
662	' K m/s')
663	4 FORMAT (/ ' Characteristic levels of the leaf area density:'// &
664	' Height: ',A,' m'/ &
665	' Leaf area density: ',A,' m2/m3'/ &
666	' Gradient: ',A,' m2/m4'/ &
667	' Gridpoint: ',A)
668	5 FORMAT (//' Characteristic levels of the leaf area density and coefficients:'&
669	// ' Height: ',A,' m'/ &
670	' Leaf area density: ',A,' m2/m3'/ &
671	' Coefficient alpha: ',F6.2 / &
672	' Coefficient beta: ',F6.2 / &
673	' Leaf area index: ',F6.2,' m2/m2' /)
674
675	END SUBROUTINE pcm_header
676
677
678	!------------------------------------------------------------------------------!
679	! Description:
680	! ------------
681	!> Initialization of the plant canopy model
682	!------------------------------------------------------------------------------!
683	SUBROUTINE pcm_init
684
685
686	USE control_parameters, &
687	ONLY: humidity, message_string, ocean, urban_surface
688
689	USE netcdf_data_input_mod, &
690	ONLY: leaf_area_density_f
691
692	USE surface_mod, &
693	ONLY: surf_def_h, surf_lsm_h, surf_usm_h
694
695	IMPLICIT NONE
696
697	INTEGER(iwp) :: i !< running index
698	INTEGER(iwp) :: j !< running index
699	INTEGER(iwp) :: k !< running index
700	INTEGER(iwp) :: m !< running index
701
702	REAL(wp) :: int_bpdf !< vertical integral for lad-profile construction
703	REAL(wp) :: gradient !< gradient for lad-profile construction
704	REAL(wp) :: canopy_height !< canopy height for lad-profile construction
705
706	!
707	!-- Allocate one-dimensional arrays for the computation of the
708	!-- leaf area density (lad) profile
709	ALLOCATE( lad(0:nz+1), pre_lad(0:nz+1) )
710	lad = 0.0_wp
711	pre_lad = 0.0_wp
712
713	!
714	!-- Set flag that indicates that the lad-profile shall be calculated by using
715	!-- a beta probability density function
716	IF ( alpha_lad /= 9999999.9_wp .AND. beta_lad /= 9999999.9_wp ) THEN
717	calc_beta_lad_profile = .TRUE.
718	ENDIF
719
720
721	!
722	!-- Compute the profile of leaf area density used in the plant
723	!-- canopy model. The profile can either be constructed from
724	!-- prescribed vertical gradients of the leaf area density or by
725	!-- using a beta probability density function (see e.g. Markkanen et al.,
726	!-- 2003: Boundary-Layer Meteorology, 106, 437-459)
727	IF ( .NOT. calc_beta_lad_profile ) THEN
728
729	!
730	!-- Use vertical gradients for lad-profile construction
731	i = 1
732	gradient = 0.0_wp
733
734	IF ( .NOT. ocean ) THEN
735
736	lad(0) = lad_surface
737	lad_vertical_gradient_level_ind(1) = 0
738
739	DO k = 1, pch_index
740	IF ( i < 11 ) THEN
741	IF ( lad_vertical_gradient_level(i) < zu(k) .AND. &
742	lad_vertical_gradient_level(i) >= 0.0_wp ) THEN
743	gradient = lad_vertical_gradient(i)
744	lad_vertical_gradient_level_ind(i) = k - 1
745	i = i + 1
746	ENDIF
747	ENDIF
748	IF ( gradient /= 0.0_wp ) THEN
749	IF ( k /= 1 ) THEN
750	lad(k) = lad(k-1) + dzu(k) * gradient
751	ELSE
752	lad(k) = lad_surface + dzu(k) * gradient
753	ENDIF
754	ELSE
755	lad(k) = lad(k-1)
756	ENDIF
757	ENDDO
758
759	ENDIF
760
761	!
762	!-- In case of no given leaf area density gradients, choose a vanishing
763	!-- gradient. This information is used for the HEADER and the RUN_CONTROL
764	!-- file.
765	IF ( lad_vertical_gradient_level(1) == -9999999.9_wp ) THEN
766	lad_vertical_gradient_level(1) = 0.0_wp
767	ENDIF
768
769	ELSE
770
771	!
772	!-- Use beta function for lad-profile construction
773	int_bpdf = 0.0_wp
774	canopy_height = zw(pch_index)
775
776	DO k = 0, pch_index
777	int_bpdf = int_bpdf + &
778	( ( ( zw(k) / canopy_height )*( alpha_lad-1.0_wp ) ) &
779	( ( 1.0_wp - ( zw(k) / canopy_height ) )**( &
780	beta_lad-1.0_wp ) ) &
781	* ( ( zw(k+1)-zw(k) ) / canopy_height ) )
782	ENDDO
783
784	!
785	!-- Preliminary lad profile (defined on w-grid)
786	DO k = 0, pch_index
787	pre_lad(k) = lai_beta * &
788	( ( ( zw(k) / canopy_height )**( alpha_lad-1.0_wp ) ) &
789	* ( ( 1.0_wp - ( zw(k) / canopy_height ) )**( &
790	beta_lad-1.0_wp ) ) / int_bpdf &
791	) / canopy_height
792	ENDDO
793
794	!
795	!-- Final lad profile (defined on scalar-grid level, since most prognostic
796	!-- quantities are defined there, hence, less interpolation is required
797	!-- when calculating the canopy tendencies)
798	lad(0) = pre_lad(0)
799	DO k = 1, pch_index
800	lad(k) = 0.5 * ( pre_lad(k-1) + pre_lad(k) )
801	ENDDO
802
803	ENDIF
804
805	!
806	!-- Allocate 3D-array for the leaf area density (lad_s).
807	ALLOCATE( lad_s(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
808
809	!
810	!-- Initialize canopy parameters cdc (canopy drag coefficient),
811	!-- lsec (leaf scalar exchange coefficient), lsc (leaf surface concentration)
812	!-- with the prescribed values
813	cdc = canopy_drag_coeff
814	lsec = leaf_scalar_exch_coeff
815	lsc = leaf_surface_conc
816
817	!
818	!-- Initialization of the canopy coverage in the model domain:
819	!-- Setting the parameter canopy_mode = 'block' initializes a canopy, which
820	!-- fully covers the domain surface
821	SELECT CASE ( TRIM( canopy_mode ) )
822
823	CASE( 'block' )
824
825	DO i = nxlg, nxrg
826	DO j = nysg, nyng
827	lad_s(:,j,i) = lad(:)
828	ENDDO
829	ENDDO
830
831	CASE ( 'read_from_file_3d' )
832	!
833	!-- Initialize LAD with data from file. If LAD is given in NetCDF file,
834	!-- use these values, else take LAD profiles from ASCII file.
835	!-- Please note, in NetCDF file LAD is only given up to the maximum
836	!-- canopy top, indicated by leaf_area_density_f%nz.
837	lad_s = 0.0_wp
838	IF ( leaf_area_density_f%from_file ) THEN
839	!
840	!-- Set also pch_index, used to be the upper bound of the vertical
841	!-- loops. Therefore, use the global top of the canopy layer.
842	pch_index = leaf_area_density_f%nz - 1
843
844	DO i = nxl, nxr
845	DO j = nys, nyn
846	DO k = 0, leaf_area_density_f%nz - 1
847	IF ( leaf_area_density_f%var(k,j,i) /= &
848	leaf_area_density_f%fill ) &
849	lad_s(k,j,i) = leaf_area_density_f%var(k,j,i)
850	ENDDO
851	ENDDO
852	ENDDO
853	CALL exchange_horiz( lad_s, nbgp )
854	!
855	! ASCII file
856	!-- Initialize canopy parameters cdc (canopy drag coefficient),
857	!-- lsec (leaf scalar exchange coefficient), lsc (leaf surface concentration)
858	!-- from file which contains complete 3D data (separate vertical profiles for
859	!-- each location).
860	ELSE
861	CALL pcm_read_plant_canopy_3d
862	ENDIF
863
864	CASE DEFAULT
865	!
866	!-- The DEFAULT case is reached either if the parameter
867	!-- canopy mode contains a wrong character string or if the
868	!-- user has coded a special case in the user interface.
869	!-- There, the subroutine user_init_plant_canopy checks
870	!-- which of these two conditions applies.
871	CALL user_init_plant_canopy
872
873	END SELECT
874	!
875	!-- Initialize 2D index array indicating canopy top index.
876	ALLOCATE( pch_index_ji(nysg:nyng,nxlg:nxrg) )
877	pch_index_ji = 0
878
879	DO i = nxl, nxr
880	DO j = nys, nyn
881	DO k = 0, pch_index
882	IF ( lad_s(k,j,i) /= 0 ) pch_index_ji(j,i) = k
883	ENDDO
884	!
885	!-- Check whether topography and local vegetation on top exceed
886	!-- height of the model domain.
887	k = get_topography_top_index_ji( j, i, 's' )
888	IF ( k + pch_index_ji(j,i) >= nzt + 1 ) THEN
889	message_string = 'Local vegetation height on top of ' // &
890	'topography exceeds height of model domain.'
891	CALL message( 'pcm_init', 'PA0999', 2, 2, 0, 6, 0 )
892	ENDIF
893
894	ENDDO
895	ENDDO
896
897	CALL exchange_horiz_2d_int( pch_index_ji, nys, nyn, nxl, nxr, nbgp )
898
899	!
900	!-- Initialization of the canopy heat source distribution due to heating
901	!-- of the canopy layers by incoming solar radiation, in case that a non-zero
902	!-- value is set for the canopy top heat flux (cthf), which equals the
903	!-- available net radiation at canopy top.
904	!-- The heat source distribution is calculated by a decaying exponential
905	!-- function of the downward cumulative leaf area index (cum_lai_hf),
906	!-- assuming that the foliage inside the plant canopy is heated by solar
907	!-- radiation penetrating the canopy layers according to the distribution
908	!-- of net radiation as suggested by Brown & Covey (1966; Agric. Meteorol. 3,
909	!-- 73â96). This approach has been applied e.g. by Shaw & Schumann (1992;
910	!-- Bound.-Layer Meteorol. 61, 47â64).
911	!-- When using the urban surface model (USM), canopy heating (pc_heating_rate)
912	!-- by radiation is calculated in the USM.
913	IF ( cthf /= 0.0_wp .AND. .NOT. urban_surface ) THEN
914
915	ALLOCATE( cum_lai_hf(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
916	pc_heating_rate(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
917	!
918	!-- Piecewise calculation of the cumulative leaf area index by vertical
919	!-- integration of the leaf area density
920	cum_lai_hf(:,:,:) = 0.0_wp
921	DO i = nxlg, nxrg
922	DO j = nysg, nyng
923	DO k = pch_index_ji(j,i)-1, 0, -1
924	IF ( k == pch_index_ji(j,i)-1 ) THEN
925	cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + &
926	( 0.5_wp * lad_s(k+1,j,i) * &
927	( zw(k+1) - zu(k+1) ) ) + &
928	( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + &
929	lad_s(k,j,i) ) + &
930	lad_s(k+1,j,i) ) * &
931	( zu(k+1) - zw(k) ) )
932	ELSE
933	cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + &
934	( 0.5_wp * ( 0.5_wp * ( lad_s(k+2,j,i) + &
935	lad_s(k+1,j,i) ) + &
936	lad_s(k+1,j,i) ) * &
937	( zw(k+1) - zu(k+1) ) ) + &
938	( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + &
939	lad_s(k,j,i) ) + &
940	lad_s(k+1,j,i) ) * &
941	( zu(k+1) - zw(k) ) )
942	ENDIF
943	ENDDO
944	ENDDO
945	ENDDO
946
947	!
948	!-- In areas with canopy the surface value of the canopy heat
949	!-- flux distribution overrides the surface heat flux (shf)
950	!-- Start with default surface type
951	DO m = 1, surf_def_h(0)%ns
952	k = surf_def_h(0)%k(m)
953	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) &
954	surf_def_h(0)%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) )
955	ENDDO
956	!
957	!-- Natural surfaces
958	DO m = 1, surf_lsm_h%ns
959	k = surf_lsm_h%k(m)
960	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) &
961	surf_lsm_h%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) )
962	ENDDO
963	!
964	!-- Urban surfaces
965	DO m = 1, surf_usm_h%ns
966	k = surf_usm_h%k(m)
967	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) &
968	surf_usm_h%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) )
969	ENDDO
970	!
971	!
972	!-- Calculation of the heating rate (K/s) within the different layers of
973	!-- the plant canopy. Calculation is only necessary in areas covered with
974	!-- canopy.
975	!-- Within the different canopy layers the plant-canopy heating
976	!-- rate (pc_heating_rate) is calculated as the vertical
977	!-- divergence of the canopy heat fluxes at the top and bottom
978	!-- of the respective layer
979	DO i = nxlg, nxrg
980	DO j = nysg, nyng
981	DO k = 1, pch_index_ji(j,i)
982	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) THEN
983	pc_heating_rate(k,j,i) = cthf * &
984	( exp(-ext_coef*cum_lai_hf(k,j,i)) - &
985	exp(-ext_coef*cum_lai_hf(k-1,j,i) ) ) / dzw(k)
986	ENDIF
987	ENDDO
988	ENDDO
989	ENDDO
990
991	ENDIF
992	!
993	!-- Allocate transpiration rate
994	IF ( humidity ) &
995	ALLOCATE( pc_transpiration_rate(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
996
997
998
999	END SUBROUTINE pcm_init
1000
1001
1002	!------------------------------------------------------------------------------!
1003	! Description:
1004	! ------------
1005	!> Parin for &plant_canopy_parameters for plant canopy model
1006	!------------------------------------------------------------------------------!
1007	SUBROUTINE pcm_parin
1008
1009	USE control_parameters, &
1010	ONLY: message_string, plant_canopy
1011
1012	IMPLICIT NONE
1013
1014	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
1015
1016	NAMELIST /plant_canopy_parameters/ &
1017	alpha_lad, beta_lad, canopy_drag_coeff, &
1018	canopy_mode, cthf, &
1019	lad_surface, lad_type_coef, &
1020	lad_vertical_gradient, &
1021	lad_vertical_gradient_level, &
1022	lai_beta, &
1023	leaf_scalar_exch_coeff, &
1024	leaf_surface_conc, pch_index
1025
1026	NAMELIST /canopy_par/ alpha_lad, beta_lad, canopy_drag_coeff, &
1027	canopy_mode, cthf, &
1028	lad_surface, lad_type_coef, &
1029	lad_vertical_gradient, &
1030	lad_vertical_gradient_level, &
1031	lai_beta, &
1032	leaf_scalar_exch_coeff, &
1033	leaf_surface_conc, pch_index
1034
1035	line = ' '
1036
1037	!
1038	!-- Try to find radiation model package
1039	REWIND ( 11 )
1040	line = ' '
1041	DO WHILE ( INDEX( line, '&plant_canopy_parameters' ) == 0 )
1042	READ ( 11, '(A)', END=12 ) line
1043	ENDDO
1044	BACKSPACE ( 11 )
1045
1046	!
1047	!-- Read user-defined namelist
1048	READ ( 11, plant_canopy_parameters, ERR = 10 )
1049
1050	!
1051	!-- Set flag that indicates that the radiation model is switched on
1052	plant_canopy = .TRUE.
1053
1054	GOTO 14
1055
1056	10 BACKSPACE( 11 )
1057	READ( 11 , '(A)') line
1058	CALL parin_fail_message( 'plant_canopy_parameters', line )
1059	!
1060	!-- Try to find old namelist
1061	12 REWIND ( 11 )
1062	line = ' '
1063	DO WHILE ( INDEX( line, '&canopy_par' ) == 0 )
1064	READ ( 11, '(A)', END=14 ) line
1065	ENDDO
1066	BACKSPACE ( 11 )
1067
1068	!
1069	!-- Read user-defined namelist
1070	READ ( 11, canopy_par, ERR = 13, END = 14 )
1071
1072	message_string = 'namelist canopy_par is deprecated and will be ' // &
1073	'removed in near future. Please use namelist ' // &
1074	'plant_canopy_parameters instead'
1075	CALL message( 'pcm_parin', 'PA0487', 0, 1, 0, 6, 0 )
1076
1077	!
1078	!-- Set flag that indicates that the radiation model is switched on
1079	plant_canopy = .TRUE.
1080
1081	GOTO 14
1082
1083	13 BACKSPACE( 11 )
1084	READ( 11 , '(A)') line
1085	CALL parin_fail_message( 'canopy_par', line )
1086
1087	14 CONTINUE
1088
1089
1090	END SUBROUTINE pcm_parin
1091
1092
1093
1094	!------------------------------------------------------------------------------!
1095	! Description:
1096	! ------------
1097	!
1098	!> Loads 3D plant canopy data from file. File format is as follows:
1099	!>
1100	!> num_levels
1101	!> dtype,x,y,pctype,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1)
1102	!> dtype,x,y,pctype,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1)
1103	!> dtype,x,y,pctype,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1)
1104	!> ...
1105	!>
1106	!> i.e. first line determines number of levels and further lines represent plant
1107	!> canopy data, one line per column and variable. In each data line,
1108	!> dtype represents variable to be set:
1109	!>
1110	!> dtype=1: leaf area density (lad_s)
1111	!> dtype=2....n: some additional plant canopy input data quantity
1112	!>
1113	!> Zeros are added automatically above num_levels until top of domain. Any
1114	!> non-specified (x,y) columns have zero values as default.
1115	!------------------------------------------------------------------------------!
1116	SUBROUTINE pcm_read_plant_canopy_3d
1117
1118	USE control_parameters, &
1119	ONLY: coupling_char, message_string
1120
1121	USE indices, &
1122	ONLY: nbgp
1123
1124	IMPLICIT NONE
1125
1126	INTEGER(iwp) :: dtype !< type of input data (1=lad)
1127	INTEGER(iwp) :: pctype !< type of plant canopy (deciduous,non-deciduous,...)
1128	INTEGER(iwp) :: i, j !< running index
1129	INTEGER(iwp) :: nzp !< number of vertical layers of plant canopy
1130
1131	REAL(wp), DIMENSION(:), ALLOCATABLE :: col !< vertical column of input data
1132
1133	!
1134	!-- Initialize lad_s array
1135	lad_s = 0.0_wp
1136
1137	!
1138	!-- Open and read plant canopy input data
1139	OPEN(152, FILE='PLANT_CANOPY_DATA_3D' // TRIM( coupling_char ), &
1140	ACCESS='SEQUENTIAL', ACTION='READ', STATUS='OLD', &
1141	FORM='FORMATTED', ERR=515)
1142	READ(152, *, ERR=516, END=517) nzp !< read first line = number of vertical layers
1143
1144	ALLOCATE( col(0:nzp-1) )
1145
1146	DO
1147	READ(152, *, ERR=516, END=517) dtype, i, j, pctype, col(:)
1148	IF ( i < nxlg .OR. i > nxrg .OR. j < nysg .OR. j > nyng ) CYCLE
1149
1150	SELECT CASE (dtype)
1151	CASE( 1 ) !< leaf area density
1152	!
1153	!-- This is just the pure canopy layer assumed to be grounded to
1154	!-- a flat domain surface. At locations where plant canopy sits
1155	!-- on top of any kind of topography, the vertical plant column
1156	!-- must be "lifted", which is done in SUBROUTINE pcm_tendency.
1157	IF ( pctype < 0 .OR. pctype > 10 ) THEN !< incorrect plant canopy type
1158	WRITE( message_string, * ) 'Incorrect type of plant canopy. ' // &
1159	'Allowed values 0 <= pctype <= 10, ' // &
1160	'but pctype is ', pctype
1161	CALL message( 'pcm_read_plant_canopy_3d', 'PA0349', 1, 2, 0, 6, 0 )
1162	ENDIF
1163	lad_s(0:nzp-1,j,i) = col(0:nzp-1) * lad_type_coef(pctype)
1164
1165	CASE DEFAULT
1166	WRITE(message_string, '(a,i2,a)') &
1167	'Unknown record type in file PLANT_CANOPY_DATA_3D: "', dtype, '"'
1168	CALL message( 'pcm_read_plant_canopy_3d', 'PA0530', 1, 2, 0, 6, 0 )
1169	END SELECT
1170	ENDDO
1171
1172	515 message_string = 'error opening file PLANT_CANOPY_DATA_3D'
1173	CALL message( 'pcm_read_plant_canopy_3d', 'PA0531', 1, 2, 0, 6, 0 )
1174
1175	516 message_string = 'error reading file PLANT_CANOPY_DATA_3D'
1176	CALL message( 'pcm_read_plant_canopy_3d', 'PA0532', 1, 2, 0, 6, 0 )
1177
1178	517 CLOSE(152)
1179	DEALLOCATE( col )
1180
1181	CALL exchange_horiz( lad_s, nbgp )
1182
1183	END SUBROUTINE pcm_read_plant_canopy_3d
1184
1185
1186
1187	!------------------------------------------------------------------------------!
1188	! Description:
1189	! ------------
1190	!> Calculation of the tendency terms, accounting for the effect of the plant
1191	!> canopy on momentum and scalar quantities.
1192	!>
1193	!> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0
1194	!> (defined on scalar grid), as initialized in subroutine pcm_init.
1195	!> The lad on the w-grid is vertically interpolated from the surrounding
1196	!> lad_s. The upper boundary of the canopy is defined on the w-grid at
1197	!> k = pch_index. Here, the lad is zero.
1198	!>
1199	!> The canopy drag must be limited (previously accounted for by calculation of
1200	!> a limiting canopy timestep for the determination of the maximum LES timestep
1201	!> in subroutine timestep), since it is physically impossible that the canopy
1202	!> drag alone can locally change the sign of a velocity component. This
1203	!> limitation is realized by calculating preliminary tendencies and velocities.
1204	!> It is subsequently checked if the preliminary new velocity has a different
1205	!> sign than the current velocity. If so, the tendency is limited in a way that
1206	!> the velocity can at maximum be reduced to zero by the canopy drag.
1207	!>
1208	!>
1209	!> Call for all grid points
1210	!------------------------------------------------------------------------------!
1211	SUBROUTINE pcm_tendency( component )
1212
1213
1214	USE control_parameters, &
1215	ONLY: dt_3d, message_string
1216
1217	USE kinds
1218
1219	IMPLICIT NONE
1220
1221	INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e)
1222	INTEGER(iwp) :: i !< running index
1223	INTEGER(iwp) :: j !< running index
1224	INTEGER(iwp) :: k !< running index
1225	INTEGER(iwp) :: k_wall !< vertical index of topography top
1226	INTEGER(iwp) :: kk !< running index for flat lad arrays
1227
1228	REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d)
1229	REAL(wp) :: lad_local !< local lad value
1230	REAL(wp) :: pre_tend !< preliminary tendency
1231	REAL(wp) :: pre_u !< preliminary u-value
1232	REAL(wp) :: pre_v !< preliminary v-value
1233	REAL(wp) :: pre_w !< preliminary w-value
1234
1235
1236	ddt_3d = 1.0_wp / dt_3d
1237
1238	!
1239	!-- Compute drag for the three velocity components and the SGS-TKE:
1240	SELECT CASE ( component )
1241
1242	!
1243	!-- u-component
1244	CASE ( 1 )
1245	DO i = nxlu, nxr
1246	DO j = nys, nyn
1247	!
1248	!-- Determine topography-top index on u-grid
1249	k_wall = get_topography_top_index_ji( j, i, 'u' )
1250	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
1251
1252	kk = k - k_wall !- lad arrays are defined flat
1253	!
1254	!-- In order to create sharp boundaries of the plant canopy,
1255	!-- the lad on the u-grid at index (k,j,i) is equal to
1256	!-- lad_s(k,j,i), rather than being interpolated from the
1257	!-- surrounding lad_s, because this would yield smaller lad
1258	!-- at the canopy boundaries than inside of the canopy.
1259	!-- For the same reason, the lad at the rightmost(i+1)canopy
1260	!-- boundary on the u-grid equals lad_s(k,j,i).
1261	lad_local = lad_s(kk,j,i)
1262	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp )&
1263	THEN
1264	lad_local = lad_s(kk,j,i-1)
1265	ENDIF
1266
1267	pre_tend = 0.0_wp
1268	pre_u = 0.0_wp
1269	!
1270	!-- Calculate preliminary value (pre_tend) of the tendency
1271	pre_tend = - cdc * &
1272	lad_local * &
1273	SQRT( u(k,j,i)**2 + &
1274	( 0.25_wp * ( v(k,j,i-1) + &
1275	v(k,j,i) + &
1276	v(k,j+1,i) + &
1277	v(k,j+1,i-1) ) &
1278	)**2 + &
1279	( 0.25_wp * ( w(k-1,j,i-1) + &
1280	w(k-1,j,i) + &
1281	w(k,j,i-1) + &
1282	w(k,j,i) ) &
1283	)**2 &
1284	) * &
1285	u(k,j,i)
1286
1287	!
1288	!-- Calculate preliminary new velocity, based on pre_tend
1289	pre_u = u(k,j,i) + dt_3d * pre_tend
1290	!
1291	!-- Compare sign of old velocity and new preliminary velocity,
1292	!-- and in case the signs are different, limit the tendency
1293	IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN
1294	pre_tend = - u(k,j,i) * ddt_3d
1295	ELSE
1296	pre_tend = pre_tend
1297	ENDIF
1298	!
1299	!-- Calculate final tendency
1300	tend(k,j,i) = tend(k,j,i) + pre_tend
1301
1302	ENDDO
1303	ENDDO
1304	ENDDO
1305
1306	!
1307	!-- v-component
1308	CASE ( 2 )
1309	DO i = nxl, nxr
1310	DO j = nysv, nyn
1311	!
1312	!-- Determine topography-top index on v-grid
1313	k_wall = get_topography_top_index_ji( j, i, 'v' )
1314
1315	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
1316
1317	kk = k - k_wall !- lad arrays are defined flat
1318	!
1319	!-- In order to create sharp boundaries of the plant canopy,
1320	!-- the lad on the v-grid at index (k,j,i) is equal to
1321	!-- lad_s(k,j,i), rather than being interpolated from the
1322	!-- surrounding lad_s, because this would yield smaller lad
1323	!-- at the canopy boundaries than inside of the canopy.
1324	!-- For the same reason, the lad at the northmost(j+1) canopy
1325	!-- boundary on the v-grid equals lad_s(k,j,i).
1326	lad_local = lad_s(kk,j,i)
1327	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp )&
1328	THEN
1329	lad_local = lad_s(kk,j-1,i)
1330	ENDIF
1331
1332	pre_tend = 0.0_wp
1333	pre_v = 0.0_wp
1334	!
1335	!-- Calculate preliminary value (pre_tend) of the tendency
1336	pre_tend = - cdc * &
1337	lad_local * &
1338	SQRT( ( 0.25_wp * ( u(k,j-1,i) + &
1339	u(k,j-1,i+1) + &
1340	u(k,j,i) + &
1341	u(k,j,i+1) ) &
1342	)**2 + &
1343	v(k,j,i)**2 + &
1344	( 0.25_wp * ( w(k-1,j-1,i) + &
1345	w(k-1,j,i) + &
1346	w(k,j-1,i) + &
1347	w(k,j,i) ) &
1348	)**2 &
1349	) * &
1350	v(k,j,i)
1351
1352	!
1353	!-- Calculate preliminary new velocity, based on pre_tend
1354	pre_v = v(k,j,i) + dt_3d * pre_tend
1355	!
1356	!-- Compare sign of old velocity and new preliminary velocity,
1357	!-- and in case the signs are different, limit the tendency
1358	IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN
1359	pre_tend = - v(k,j,i) * ddt_3d
1360	ELSE
1361	pre_tend = pre_tend
1362	ENDIF
1363	!
1364	!-- Calculate final tendency
1365	tend(k,j,i) = tend(k,j,i) + pre_tend
1366
1367	ENDDO
1368	ENDDO
1369	ENDDO
1370
1371	!
1372	!-- w-component
1373	CASE ( 3 )
1374	DO i = nxl, nxr
1375	DO j = nys, nyn
1376	!
1377	!-- Determine topography-top index on w-grid
1378	k_wall = get_topography_top_index_ji( j, i, 'w' )
1379
1380	DO k = k_wall+1, k_wall + pch_index_ji(j,i) - 1
1381
1382	kk = k - k_wall !- lad arrays are defined flat
1383
1384	pre_tend = 0.0_wp
1385	pre_w = 0.0_wp
1386	!
1387	!-- Calculate preliminary value (pre_tend) of the tendency
1388	pre_tend = - cdc * &
1389	(0.5_wp * &
1390	( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * &
1391	SQRT( ( 0.25_wp * ( u(k,j,i) + &
1392	u(k,j,i+1) + &
1393	u(k+1,j,i) + &
1394	u(k+1,j,i+1) ) &
1395	)**2 + &
1396	( 0.25_wp * ( v(k,j,i) + &
1397	v(k,j+1,i) + &
1398	v(k+1,j,i) + &
1399	v(k+1,j+1,i) ) &
1400	)**2 + &
1401	w(k,j,i)**2 &
1402	) * &
1403	w(k,j,i)
1404	!
1405	!-- Calculate preliminary new velocity, based on pre_tend
1406	pre_w = w(k,j,i) + dt_3d * pre_tend
1407	!
1408	!-- Compare sign of old velocity and new preliminary velocity,
1409	!-- and in case the signs are different, limit the tendency
1410	IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN
1411	pre_tend = - w(k,j,i) * ddt_3d
1412	ELSE
1413	pre_tend = pre_tend
1414	ENDIF
1415	!
1416	!-- Calculate final tendency
1417	tend(k,j,i) = tend(k,j,i) + pre_tend
1418
1419	ENDDO
1420	ENDDO
1421	ENDDO
1422
1423	!
1424	!-- potential temperature
1425	CASE ( 4 )
1426	DO i = nxl, nxr
1427	DO j = nys, nyn
1428	!
1429	!-- Determine topography-top index on scalar-grid
1430	k_wall = get_topography_top_index_ji( j, i, 's' )
1431
1432	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
1433
1434	kk = k - k_wall !- lad arrays are defined flat
1435	tend(k,j,i) = tend(k,j,i) + pc_heating_rate(kk,j,i)
1436	ENDDO
1437	ENDDO
1438	ENDDO
1439
1440	!
1441	!-- humidity
1442	CASE ( 5 )
1443	DO i = nxl, nxr
1444	DO j = nys, nyn
1445	!
1446	!-- Determine topography-top index on scalar-grid
1447	k_wall = get_topography_top_index_ji( j, i, 's' )
1448
1449	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
1450
1451	kk = k - k_wall !- lad arrays are defined flat
1452	pc_transpiration_rate(kk,j,i) = - lsec &
1453	* lad_s(kk,j,i) * &
1454	SQRT( ( 0.5_wp * ( u(k,j,i) + &
1455	u(k,j,i+1) ) &
1456	)**2 + &
1457	( 0.5_wp * ( v(k,j,i) + &
1458	v(k,j+1,i) ) &
1459	)**2 + &
1460	( 0.5_wp * ( w(k-1,j,i) + &
1461	w(k,j,i) ) &
1462	)**2 &
1463	) * &
1464	( q(k,j,i) - lsc )
1465
1466	tend(k,j,i) = tend(k,j,i) + pc_transpiration_rate(kk,j,i)
1467	ENDDO
1468	ENDDO
1469	ENDDO
1470
1471	!
1472	!-- sgs-tke
1473	CASE ( 6 )
1474	DO i = nxl, nxr
1475	DO j = nys, nyn
1476	!
1477	!-- Determine topography-top index on scalar-grid
1478	k_wall = get_topography_top_index_ji( j, i, 's' )
1479
1480	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
1481
1482	kk = k - k_wall !- lad arrays are defined flat
1483	tend(k,j,i) = tend(k,j,i) - &
1484	2.0_wp * cdc * &
1485	lad_s(kk,j,i) * &
1486	SQRT( ( 0.5_wp * ( u(k,j,i) + &
1487	u(k,j,i+1) ) &
1488	)**2 + &
1489	( 0.5_wp * ( v(k,j,i) + &
1490	v(k,j+1,i) ) &
1491	)**2 + &
1492	( 0.5_wp * ( w(k,j,i) + &
1493	w(k+1,j,i) ) &
1494	)**2 &
1495	) * &
1496	e(k,j,i)
1497	ENDDO
1498	ENDDO
1499	ENDDO
1500	!
1501	!-- scalar concentration
1502	CASE ( 7 )
1503	DO i = nxl, nxr
1504	DO j = nys, nyn
1505	!
1506	!-- Determine topography-top index on scalar-grid
1507	k_wall = get_topography_top_index_ji( j, i, 's' )
1508
1509	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
1510
1511	kk = k - k_wall !- lad arrays are defined flat
1512	tend(k,j,i) = tend(k,j,i) - &
1513	lsec * &
1514	lad_s(kk,j,i) * &
1515	SQRT( ( 0.5_wp * ( u(k,j,i) + &
1516	u(k,j,i+1) ) &
1517	)**2 + &
1518	( 0.5_wp * ( v(k,j,i) + &
1519	v(k,j+1,i) ) &
1520	)**2 + &
1521	( 0.5_wp * ( w(k-1,j,i) + &
1522	w(k,j,i) ) &
1523	)**2 &
1524	) * &
1525	( s(k,j,i) - lsc )
1526	ENDDO
1527	ENDDO
1528	ENDDO
1529
1530
1531
1532	CASE DEFAULT
1533
1534	WRITE( message_string, * ) 'wrong component: ', component
1535	CALL message( 'pcm_tendency', 'PA0279', 1, 2, 0, 6, 0 )
1536
1537	END SELECT
1538
1539	END SUBROUTINE pcm_tendency
1540
1541
1542	!------------------------------------------------------------------------------!
1543	! Description:
1544	! ------------
1545	!> Calculation of the tendency terms, accounting for the effect of the plant
1546	!> canopy on momentum and scalar quantities.
1547	!>
1548	!> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0
1549	!> (defined on scalar grid), as initialized in subroutine pcm_init.
1550	!> The lad on the w-grid is vertically interpolated from the surrounding
1551	!> lad_s. The upper boundary of the canopy is defined on the w-grid at
1552	!> k = pch_index. Here, the lad is zero.
1553	!>
1554	!> The canopy drag must be limited (previously accounted for by calculation of
1555	!> a limiting canopy timestep for the determination of the maximum LES timestep
1556	!> in subroutine timestep), since it is physically impossible that the canopy
1557	!> drag alone can locally change the sign of a velocity component. This
1558	!> limitation is realized by calculating preliminary tendencies and velocities.
1559	!> It is subsequently checked if the preliminary new velocity has a different
1560	!> sign than the current velocity. If so, the tendency is limited in a way that
1561	!> the velocity can at maximum be reduced to zero by the canopy drag.
1562	!>
1563	!>
1564	!> Call for grid point i,j
1565	!------------------------------------------------------------------------------!
1566	SUBROUTINE pcm_tendency_ij( i, j, component )
1567
1568
1569	USE control_parameters, &
1570	ONLY: dt_3d, message_string
1571
1572	USE kinds
1573
1574	IMPLICIT NONE
1575
1576	INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e)
1577	INTEGER(iwp) :: i !< running index
1578	INTEGER(iwp) :: j !< running index
1579	INTEGER(iwp) :: k !< running index
1580	INTEGER(iwp) :: k_wall !< vertical index of topography top
1581	INTEGER(iwp) :: kk !< running index for flat lad arrays
1582
1583	REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d)
1584	REAL(wp) :: lad_local !< local lad value
1585	REAL(wp) :: pre_tend !< preliminary tendency
1586	REAL(wp) :: pre_u !< preliminary u-value
1587	REAL(wp) :: pre_v !< preliminary v-value
1588	REAL(wp) :: pre_w !< preliminary w-value
1589
1590
1591	ddt_3d = 1.0_wp / dt_3d
1592	!
1593	!-- Compute drag for the three velocity components and the SGS-TKE
1594	SELECT CASE ( component )
1595
1596	!
1597	!-- u-component
1598	CASE ( 1 )
1599	!
1600	!-- Determine topography-top index on u-grid
1601	k_wall = get_topography_top_index_ji( j, i, 'u' )
1602	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
1603
1604	kk = k - k_wall !- lad arrays are defined flat
1605
1606	!
1607	!-- In order to create sharp boundaries of the plant canopy,
1608	!-- the lad on the u-grid at index (k,j,i) is equal to lad_s(k,j,i),
1609	!-- rather than being interpolated from the surrounding lad_s,
1610	!-- because this would yield smaller lad at the canopy boundaries
1611	!-- than inside of the canopy.
1612	!-- For the same reason, the lad at the rightmost(i+1)canopy
1613	!-- boundary on the u-grid equals lad_s(k,j,i).
1614	lad_local = lad_s(kk,j,i)
1615	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp ) THEN
1616	lad_local = lad_s(kk,j,i-1)
1617	ENDIF
1618
1619	pre_tend = 0.0_wp
1620	pre_u = 0.0_wp
1621	!
1622	!-- Calculate preliminary value (pre_tend) of the tendency
1623	pre_tend = - cdc * &
1624	lad_local * &
1625	SQRT( u(k,j,i)**2 + &
1626	( 0.25_wp * ( v(k,j,i-1) + &
1627	v(k,j,i) + &
1628	v(k,j+1,i) + &
1629	v(k,j+1,i-1) ) &
1630	)**2 + &
1631	( 0.25_wp * ( w(k-1,j,i-1) + &
1632	w(k-1,j,i) + &
1633	w(k,j,i-1) + &
1634	w(k,j,i) ) &
1635	)**2 &
1636	) * &
1637	u(k,j,i)
1638
1639	!
1640	!-- Calculate preliminary new velocity, based on pre_tend
1641	pre_u = u(k,j,i) + dt_3d * pre_tend
1642	!
1643	!-- Compare sign of old velocity and new preliminary velocity,
1644	!-- and in case the signs are different, limit the tendency
1645	IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN
1646	pre_tend = - u(k,j,i) * ddt_3d
1647	ELSE
1648	pre_tend = pre_tend
1649	ENDIF
1650	!
1651	!-- Calculate final tendency
1652	tend(k,j,i) = tend(k,j,i) + pre_tend
1653	ENDDO
1654
1655
1656	!
1657	!-- v-component
1658	CASE ( 2 )
1659	!
1660	!-- Determine topography-top index on v-grid
1661	k_wall = get_topography_top_index_ji( j, i, 'v' )
1662
1663	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
1664
1665	kk = k - k_wall !- lad arrays are defined flat
1666	!
1667	!-- In order to create sharp boundaries of the plant canopy,
1668	!-- the lad on the v-grid at index (k,j,i) is equal to lad_s(k,j,i),
1669	!-- rather than being interpolated from the surrounding lad_s,
1670	!-- because this would yield smaller lad at the canopy boundaries
1671	!-- than inside of the canopy.
1672	!-- For the same reason, the lad at the northmost(j+1)canopy
1673	!-- boundary on the v-grid equals lad_s(k,j,i).
1674	lad_local = lad_s(kk,j,i)
1675	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp ) THEN
1676	lad_local = lad_s(kk,j-1,i)
1677	ENDIF
1678
1679	pre_tend = 0.0_wp
1680	pre_v = 0.0_wp
1681	!
1682	!-- Calculate preliminary value (pre_tend) of the tendency
1683	pre_tend = - cdc * &
1684	lad_local * &
1685	SQRT( ( 0.25_wp * ( u(k,j-1,i) + &
1686	u(k,j-1,i+1) + &
1687	u(k,j,i) + &
1688	u(k,j,i+1) ) &
1689	)**2 + &
1690	v(k,j,i)**2 + &
1691	( 0.25_wp * ( w(k-1,j-1,i) + &
1692	w(k-1,j,i) + &
1693	w(k,j-1,i) + &
1694	w(k,j,i) ) &
1695	)**2 &
1696	) * &
1697	v(k,j,i)
1698
1699	!
1700	!-- Calculate preliminary new velocity, based on pre_tend
1701	pre_v = v(k,j,i) + dt_3d * pre_tend
1702	!
1703	!-- Compare sign of old velocity and new preliminary velocity,
1704	!-- and in case the signs are different, limit the tendency
1705	IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN
1706	pre_tend = - v(k,j,i) * ddt_3d
1707	ELSE
1708	pre_tend = pre_tend
1709	ENDIF
1710	!
1711	!-- Calculate final tendency
1712	tend(k,j,i) = tend(k,j,i) + pre_tend
1713	ENDDO
1714
1715
1716	!
1717	!-- w-component
1718	CASE ( 3 )
1719	!
1720	!-- Determine topography-top index on w-grid
1721	k_wall = get_topography_top_index_ji( j, i, 'w' )
1722
1723	DO k = k_wall + 1, k_wall + pch_index_ji(j,i) - 1
1724
1725	kk = k - k_wall !- lad arrays are defined flat
1726
1727	pre_tend = 0.0_wp
1728	pre_w = 0.0_wp
1729	!
1730	!-- Calculate preliminary value (pre_tend) of the tendency
1731	pre_tend = - cdc * &
1732	(0.5_wp * &
1733	( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * &
1734	SQRT( ( 0.25_wp * ( u(k,j,i) + &
1735	u(k,j,i+1) + &
1736	u(k+1,j,i) + &
1737	u(k+1,j,i+1) ) &
1738	)**2 + &
1739	( 0.25_wp * ( v(k,j,i) + &
1740	v(k,j+1,i) + &
1741	v(k+1,j,i) + &
1742	v(k+1,j+1,i) ) &
1743	)**2 + &
1744	w(k,j,i)**2 &
1745	) * &
1746	w(k,j,i)
1747	!
1748	!-- Calculate preliminary new velocity, based on pre_tend
1749	pre_w = w(k,j,i) + dt_3d * pre_tend
1750	!
1751	!-- Compare sign of old velocity and new preliminary velocity,
1752	!-- and in case the signs are different, limit the tendency
1753	IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN
1754	pre_tend = - w(k,j,i) * ddt_3d
1755	ELSE
1756	pre_tend = pre_tend
1757	ENDIF
1758	!
1759	!-- Calculate final tendency
1760	tend(k,j,i) = tend(k,j,i) + pre_tend
1761	ENDDO
1762
1763	!
1764	!-- potential temperature
1765	CASE ( 4 )
1766	!
1767	!-- Determine topography-top index on scalar grid
1768	k_wall = get_topography_top_index_ji( j, i, 's' )
1769
1770	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
1771	kk = k - k_wall !- lad arrays are defined flat
1772	tend(k,j,i) = tend(k,j,i) + pc_heating_rate(kk,j,i)
1773	ENDDO
1774
1775
1776	!
1777	!-- humidity
1778	CASE ( 5 )
1779	!
1780	!-- Determine topography-top index on scalar grid
1781	k_wall = get_topography_top_index_ji( j, i, 's' )
1782
1783	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
1784	kk = k - k_wall !- lad arrays are defined flat
1785
1786	pc_transpiration_rate(kk,j,i) = - lsec &
1787	* lad_s(kk,j,i) * &
1788	SQRT( ( 0.5_wp * ( u(k,j,i) + &
1789	u(k,j,i+1) ) &
1790	)**2 + &
1791	( 0.5_wp * ( v(k,j,i) + &
1792	v(k,j+1,i) ) &
1793	)**2 + &
1794	( 0.5_wp * ( w(k-1,j,i) + &
1795	w(k,j,i) ) &
1796	)**2 &
1797	) * &
1798	( q(k,j,i) - lsc )
1799
1800	tend(k,j,i) = tend(k,j,i) + pc_transpiration_rate(kk,j,i)
1801
1802	ENDDO
1803
1804	!
1805	!-- sgs-tke
1806	CASE ( 6 )
1807	!
1808	!-- Determine topography-top index on scalar grid
1809	k_wall = get_topography_top_index_ji( j, i, 's' )
1810
1811	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
1812
1813	kk = k - k_wall
1814	tend(k,j,i) = tend(k,j,i) - &
1815	2.0_wp * cdc * &
1816	lad_s(kk,j,i) * &
1817	SQRT( ( 0.5_wp * ( u(k,j,i) + &
1818	u(k,j,i+1) ) &
1819	)**2 + &
1820	( 0.5_wp * ( v(k,j,i) + &
1821	v(k,j+1,i) ) &
1822	)**2 + &
1823	( 0.5_wp * ( w(k,j,i) + &
1824	w(k+1,j,i) ) &
1825	)**2 &
1826	) * &
1827	e(k,j,i)
1828	ENDDO
1829
1830	!
1831	!-- scalar concentration
1832	CASE ( 7 )
1833	!
1834	!-- Determine topography-top index on scalar grid
1835	k_wall = get_topography_top_index_ji( j, i, 's' )
1836
1837	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
1838
1839	kk = k - k_wall
1840	tend(k,j,i) = tend(k,j,i) - &
1841	lsec * &
1842	lad_s(kk,j,i) * &
1843	SQRT( ( 0.5_wp * ( u(k,j,i) + &
1844	u(k,j,i+1) ) &
1845	)**2 + &
1846	( 0.5_wp * ( v(k,j,i) + &
1847	v(k,j+1,i) ) &
1848	)**2 + &
1849	( 0.5_wp * ( w(k-1,j,i) + &
1850	w(k,j,i) ) &
1851	)**2 &
1852	) * &
1853	( s(k,j,i) - lsc )
1854	ENDDO
1855
1856	CASE DEFAULT
1857
1858	WRITE( message_string, * ) 'wrong component: ', component
1859	CALL message( 'pcm_tendency', 'PA0279', 1, 2, 0, 6, 0 )
1860
1861	END SELECT
1862
1863	END SUBROUTINE pcm_tendency_ij
1864
1865
1866
1867	END MODULE plant_canopy_model_mod

Note: See TracBrowser for help on using the repository browser.

Download in other formats:

| Impressum | ©Leibniz Universität Hannover |