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source: palm/trunk/SOURCE/plant_canopy_model_mod.f90 @ 2310

Last change on this file since 2310 was 2274, checked in by Giersch, 7 years ago
Changed error messages
Property svn:keywords set to `Id`
File size: 70.4 KB

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[1826]	1	!> @file plant_canopy_model_mod.f90
[2000]	2	!------------------------------------------------------------------------------!
[1036]	3	! This file is part of PALM.
	4	!
[2000]	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.
[1036]	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	!
[2101]	17	! Copyright 1997-2017 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[257]	20	! Current revisions:
[138]	21	! -----------------
[2214]	22	!
[2233]	23	!
[2214]	24	! Former revisions:
	25	! -----------------
	26	! $Id: plant_canopy_model_mod.f90 2274 2017-06-09 13:27:48Z gronemeier $
[2274]	27	! Changed error messages
	28	!
	29	! 2233 2017-05-30 18:08:54Z suehring
[2214]	30	!
[2233]	31	! 2232 2017-05-30 17:47:52Z suehring
	32	! Adjustments to new topography concept
	33	!
[2214]	34	! 2213 2017-04-24 15:10:35Z kanani
[2213]	35	! Bugfix: exchange of ghost points in array pc_heating_rate needed for output
	36	! of pcm_heatrate, onetime ghost point exchange of lad_s after initialization.
	37	! Formatting and clean-up of subroutine pcm_read_plant_canopy_3d,
	38	! minor re-organization of canopy-heating initialization.
[2008]	39	!
[2210]	40	! 2209 2017-04-19 09:34:46Z kanani
	41	! Added 3d output of leaf area density (pcm_lad) and canopy
	42	! heat rate (pcm_heatrate)
	43	!
[2025]	44	! 2024 2016-10-12 16:42:37Z kanani
	45	! Added missing lad_s initialization
	46	!
[2012]	47	! 2011 2016-09-19 17:29:57Z kanani
	48	! Renamed canopy_heat_flux to pc_heating_rate, since the original meaning/
	49	! calculation of the quantity has changed, related to the urban surface model
	50	! and similar future applications.
	51	!
[2008]	52	! 2007 2016-08-24 15:47:17Z kanani
[2007]	53	! Added SUBROUTINE pcm_read_plant_canopy_3d for reading 3d plant canopy data
	54	! from file (new case canopy_mode=read_from_file_3d) in the course of
	55	! introduction of urban surface model,
	56	! introduced variable ext_coef,
	57	! resorted SUBROUTINEs to alphabetical order
[1827]	58	!
[2001]	59	! 2000 2016-08-20 18:09:15Z knoop
	60	! Forced header and separation lines into 80 columns
	61	!
[1961]	62	! 1960 2016-07-12 16:34:24Z suehring
	63	! Separate humidity and passive scalar
	64	!
[1954]	65	! 1953 2016-06-21 09:28:42Z suehring
	66	! Bugfix, lad_s and lad must be public
	67	!
[1827]	68	! 1826 2016-04-07 12:01:39Z maronga
	69	! Further modularization
	70	!
[1722]	71	! 1721 2015-11-16 12:56:48Z raasch
	72	! bugfixes: shf is reduced in areas covered with canopy only,
	73	! canopy is set on top of topography
	74	!
[1683]	75	! 1682 2015-10-07 23:56:08Z knoop
	76	! Code annotations made doxygen readable
	77	!
[1485]	78	! 1484 2014-10-21 10:53:05Z kanani
[1484]	79	! Changes due to new module structure of the plant canopy model:
	80	! module plant_canopy_model_mod now contains a subroutine for the
[1826]	81	! initialization of the canopy model (pcm_init),
[1484]	82	! limitation of the canopy drag (previously accounted for by calculation of
	83	! a limiting canopy timestep for the determination of the maximum LES timestep
	84	! in subroutine timestep) is now realized by the calculation of pre-tendencies
[1826]	85	! and preliminary velocities in subroutine pcm_tendency,
	86	! some redundant MPI communication removed in subroutine pcm_init
[1484]	87	! (was previously in init_3d_model),
	88	! unnecessary 3d-arrays lad_u, lad_v, lad_w removed - lad information on the
	89	! respective grid is now provided only by lad_s (e.g. in the calculation of
	90	! the tendency terms or of cum_lai_hf),
	91	! drag_coefficient, lai, leaf_surface_concentration,
	92	! scalar_exchange_coefficient, sec and sls renamed to canopy_drag_coeff,
	93	! cum_lai_hf, leaf_surface_conc, leaf_scalar_exch_coeff, lsec and lsc,
	94	! respectively,
	95	! unnecessary 3d-arrays cdc, lsc and lsec now defined as single-value constants,
	96	! USE-statements and ONLY-lists modified accordingly
[1341]	97	!
	98	! 1340 2014-03-25 19:45:13Z kanani
	99	! REAL constants defined as wp-kind
	100	!
[1321]	101	! 1320 2014-03-20 08:40:49Z raasch
[1320]	102	! ONLY-attribute added to USE-statements,
	103	! kind-parameters added to all INTEGER and REAL declaration statements,
	104	! kinds are defined in new module kinds,
	105	! old module precision_kind is removed,
	106	! revision history before 2012 removed,
	107	! comment fields (!:) to be used for variable explanations added to
	108	! all variable declaration statements
[153]	109	!
[1037]	110	! 1036 2012-10-22 13:43:42Z raasch
	111	! code put under GPL (PALM 3.9)
	112	!
[139]	113	! 138 2007-11-28 10:03:58Z letzel
	114	! Initial revision
	115	!
[138]	116	! Description:
	117	! ------------
[1682]	118	!> 1) Initialization of the canopy model, e.g. construction of leaf area density
[1826]	119	!> profile (subroutine pcm_init).
[1682]	120	!> 2) Calculation of sinks and sources of momentum, heat and scalar concentration
[1826]	121	!> due to canopy elements (subroutine pcm_tendency).
[138]	122	!------------------------------------------------------------------------------!
[1682]	123	MODULE plant_canopy_model_mod
	124
[1484]	125	USE arrays_3d, &
[2232]	126	ONLY: dzu, dzw, e, q, s, tend, u, v, w, zu, zw
[138]	127
[1484]	128	USE indices, &
	129	ONLY: nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, &
[2232]	130	nz, nzb, nzb_max, nzt, wall_flags_0
[1484]	131
	132	USE kinds
	133
	134
	135	IMPLICIT NONE
	136
	137
[1682]	138	CHARACTER (LEN=20) :: canopy_mode = 'block' !< canopy coverage
[1484]	139
[1682]	140	INTEGER(iwp) :: pch_index = 0 !< plant canopy height/top index
[1484]	141	INTEGER(iwp) :: &
[1682]	142	lad_vertical_gradient_level_ind(10) = -9999 !< lad-profile levels (index)
[1484]	143
[1682]	144	LOGICAL :: calc_beta_lad_profile = .FALSE. !< switch for calc. of lad from beta func.
	145	LOGICAL :: plant_canopy = .FALSE. !< switch for use of canopy model
[1484]	146
[1682]	147	REAL(wp) :: alpha_lad = 9999999.9_wp !< coefficient for lad calculation
	148	REAL(wp) :: beta_lad = 9999999.9_wp !< coefficient for lad calculation
	149	REAL(wp) :: canopy_drag_coeff = 0.0_wp !< canopy drag coefficient (parameter)
	150	REAL(wp) :: cdc = 0.0_wp !< canopy drag coeff. (abbreviation used in equations)
	151	REAL(wp) :: cthf = 0.0_wp !< canopy top heat flux
	152	REAL(wp) :: dt_plant_canopy = 0.0_wp !< timestep account. for canopy drag
[2007]	153	REAL(wp) :: ext_coef = 0.6_wp !< extinction coefficient
[1682]	154	REAL(wp) :: lad_surface = 0.0_wp !< lad surface value
	155	REAL(wp) :: lai_beta = 0.0_wp !< leaf area index (lai) for lad calc.
[1484]	156	REAL(wp) :: &
[1682]	157	leaf_scalar_exch_coeff = 0.0_wp !< canopy scalar exchange coeff.
[1484]	158	REAL(wp) :: &
[1682]	159	leaf_surface_conc = 0.0_wp !< leaf surface concentration
	160	REAL(wp) :: lsec = 0.0_wp !< leaf scalar exchange coeff.
	161	REAL(wp) :: lsc = 0.0_wp !< leaf surface concentration
[1484]	162
	163	REAL(wp) :: &
[1682]	164	lad_vertical_gradient(10) = 0.0_wp !< lad gradient
[1484]	165	REAL(wp) :: &
[1682]	166	lad_vertical_gradient_level(10) = -9999999.9_wp !< lad-prof. levels (in m)
[1484]	167
[1682]	168	REAL(wp), DIMENSION(:), ALLOCATABLE :: lad !< leaf area density
	169	REAL(wp), DIMENSION(:), ALLOCATABLE :: pre_lad !< preliminary lad
[1484]	170
	171	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: &
[2011]	172	pc_heating_rate !< plant canopy heating rate
[1682]	173	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: cum_lai_hf !< cumulative lai for heatflux calc.
	174	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: lad_s !< lad on scalar-grid
[1484]	175
	176
	177	SAVE
	178
	179
[138]	180	PRIVATE
[1826]	181
	182	!
	183	!-- Public functions
[2209]	184	PUBLIC pcm_check_data_output, pcm_check_parameters, pcm_data_output_3d, &
	185	pcm_define_netcdf_grid, pcm_header, pcm_init, pcm_parin, pcm_tendency
[138]	186
[1826]	187	!
	188	!-- Public variables and constants
[2011]	189	PUBLIC pc_heating_rate, canopy_mode, cthf, dt_plant_canopy, lad, lad_s, &
[2007]	190	pch_index, plant_canopy
	191
[1484]	192
[2209]	193	INTERFACE pcm_check_data_output
	194	MODULE PROCEDURE pcm_check_data_output
	195	END INTERFACE pcm_check_data_output
	196
[1826]	197	INTERFACE pcm_check_parameters
	198	MODULE PROCEDURE pcm_check_parameters
[2209]	199	END INTERFACE pcm_check_parameters
	200
	201	INTERFACE pcm_data_output_3d
	202	MODULE PROCEDURE pcm_data_output_3d
	203	END INTERFACE pcm_data_output_3d
	204
	205	INTERFACE pcm_define_netcdf_grid
	206	MODULE PROCEDURE pcm_define_netcdf_grid
	207	END INTERFACE pcm_define_netcdf_grid
[1826]	208
	209	INTERFACE pcm_header
	210	MODULE PROCEDURE pcm_header
	211	END INTERFACE pcm_header
	212
	213	INTERFACE pcm_init
	214	MODULE PROCEDURE pcm_init
	215	END INTERFACE pcm_init
[138]	216
[1826]	217	INTERFACE pcm_parin
	218	MODULE PROCEDURE pcm_parin
[2007]	219	END INTERFACE pcm_parin
	220
	221	INTERFACE pcm_read_plant_canopy_3d
	222	MODULE PROCEDURE pcm_read_plant_canopy_3d
	223	END INTERFACE pcm_read_plant_canopy_3d
[1826]	224
	225	INTERFACE pcm_tendency
	226	MODULE PROCEDURE pcm_tendency
	227	MODULE PROCEDURE pcm_tendency_ij
	228	END INTERFACE pcm_tendency
[1484]	229
	230
[138]	231	CONTAINS
	232
[2209]	233
	234	!------------------------------------------------------------------------------!
	235	! Description:
	236	! ------------
	237	!> Check data output for plant canopy model
	238	!------------------------------------------------------------------------------!
	239	SUBROUTINE pcm_check_data_output( var, unit )
[1826]	240
[2209]	241
	242	USE control_parameters, &
	243	ONLY: data_output, message_string
	244
	245	IMPLICIT NONE
	246
	247	CHARACTER (LEN=*) :: unit !<
	248	CHARACTER (LEN=*) :: var !<
	249
	250
	251	SELECT CASE ( TRIM( var ) )
	252
	253	CASE ( 'pcm_heatrate' )
	254	unit = 'K s-1'
	255
	256	CASE ( 'pcm_lad' )
	257	unit = 'm2 m-3'
	258
	259
	260	CASE DEFAULT
	261	unit = 'illegal'
	262
	263	END SELECT
	264
	265
	266	END SUBROUTINE pcm_check_data_output
	267
	268
[1826]	269	!------------------------------------------------------------------------------!
	270	! Description:
	271	! ------------
	272	!> Check parameters routine for plant canopy model
	273	!------------------------------------------------------------------------------!
	274	SUBROUTINE pcm_check_parameters
[138]	275
[1826]	276	USE control_parameters, &
	277	ONLY: cloud_physics, message_string, microphysics_seifert
	278
	279
	280	IMPLICIT NONE
	281
	282
	283	IF ( canopy_drag_coeff == 0.0_wp ) THEN
	284	message_string = 'plant_canopy = .TRUE. requires a non-zero drag '// &
	285	'coefficient & given value is canopy_drag_coeff = 0.0'
	286	CALL message( 'check_parameters', 'PA0041', 1, 2, 0, 6, 0 )
	287	ENDIF
	288
	289	IF ( ( alpha_lad /= 9999999.9_wp .AND. beta_lad == 9999999.9_wp ) .OR.&
	290	beta_lad /= 9999999.9_wp .AND. alpha_lad == 9999999.9_wp ) THEN
	291	message_string = 'using the beta function for the construction ' // &
	292	'of the leaf area density profile requires ' // &
	293	'both alpha_lad and beta_lad to be /= 9999999.9'
	294	CALL message( 'check_parameters', 'PA0118', 1, 2, 0, 6, 0 )
	295	ENDIF
	296
	297	IF ( calc_beta_lad_profile .AND. lai_beta == 0.0_wp ) THEN
	298	message_string = 'using the beta function for the construction ' // &
	299	'of the leaf area density profile requires ' // &
	300	'a non-zero lai_beta, but given value is ' // &
	301	'lai_beta = 0.0'
	302	CALL message( 'check_parameters', 'PA0119', 1, 2, 0, 6, 0 )
	303	ENDIF
	304
	305	IF ( calc_beta_lad_profile .AND. lad_surface /= 0.0_wp ) THEN
[2274]	306	message_string = 'simultaneous setting of alpha_lad /= 9999999.9 '// &
	307	'combined with beta_lad /= 9999999.9 ' // &
[1826]	308	'and lad_surface /= 0.0 is not possible, ' // &
	309	'use either vertical gradients or the beta ' // &
	310	'function for the construction of the leaf area '// &
	311	'density profile'
	312	CALL message( 'check_parameters', 'PA0120', 1, 2, 0, 6, 0 )
	313	ENDIF
	314
	315	IF ( cloud_physics .AND. microphysics_seifert ) THEN
	316	message_string = 'plant_canopy = .TRUE. requires cloud_scheme /=' // &
	317	' seifert_beheng'
	318	CALL message( 'check_parameters', 'PA0360', 1, 2, 0, 6, 0 )
	319	ENDIF
	320
	321
	322	END SUBROUTINE pcm_check_parameters
	323
	324
[138]	325	!------------------------------------------------------------------------------!
[2209]	326	!
[1484]	327	! Description:
	328	! ------------
[2209]	329	!> Subroutine defining 3D output variables
	330	!------------------------------------------------------------------------------!
	331	SUBROUTINE pcm_data_output_3d( av, variable, found, local_pf )
	332
	333	USE control_parameters, &
	334	ONLY : nz_do3d
	335
	336	USE indices
	337
	338	USE kinds
	339
	340
	341	IMPLICIT NONE
	342
	343	CHARACTER (LEN=*) :: variable !<
	344
	345	INTEGER(iwp) :: av !<
	346	INTEGER(iwp) :: i !<
	347	INTEGER(iwp) :: j !<
	348	INTEGER(iwp) :: k !<
	349
	350	LOGICAL :: found !<
	351
	352	REAL(sp), DIMENSION(nxlg:nxrg,nysg:nyng,nzb:nz_do3d) :: local_pf !<
	353
	354
	355	found = .TRUE.
	356
	357
	358	SELECT CASE ( TRIM( variable ) )
	359
	360	CASE ( 'pcm_heatrate' )
[2213]	361	CALL exchange_horiz( pc_heating_rate, nbgp )
[2209]	362	IF ( av == 0 ) THEN
	363	DO i = nxlg, nxrg
	364	DO j = nysg, nyng
	365	DO k = nzb_s_inner(j,i), nz_do3d
[2213]	366	local_pf(i,j,k) = pc_heating_rate(k-nzb_s_inner(j,i),j,i)
[2209]	367	ENDDO
	368	ENDDO
	369	ENDDO
	370	ENDIF
	371
	372
	373	CASE ( 'pcm_lad' )
	374	IF ( av == 0 ) THEN
	375	DO i = nxlg, nxrg
	376	DO j = nysg, nyng
	377	DO k = nzb_s_inner(j,i), nz_do3d
[2213]	378	local_pf(i,j,k) = lad_s(k-nzb_s_inner(j,i),j,i)
[2209]	379	ENDDO
	380	ENDDO
	381	ENDDO
	382	ENDIF
	383
	384
	385	CASE DEFAULT
	386	found = .FALSE.
	387
	388	END SELECT
	389
	390
	391	END SUBROUTINE pcm_data_output_3d
	392
	393	!------------------------------------------------------------------------------!
	394	!
	395	! Description:
	396	! ------------
	397	!> Subroutine defining appropriate grid for netcdf variables.
	398	!> It is called from subroutine netcdf.
	399	!------------------------------------------------------------------------------!
	400	SUBROUTINE pcm_define_netcdf_grid( var, found, grid_x, grid_y, grid_z )
	401
	402	IMPLICIT NONE
	403
	404	CHARACTER (LEN=*), INTENT(IN) :: var !<
	405	LOGICAL, INTENT(OUT) :: found !<
	406	CHARACTER (LEN=*), INTENT(OUT) :: grid_x !<
	407	CHARACTER (LEN=*), INTENT(OUT) :: grid_y !<
	408	CHARACTER (LEN=*), INTENT(OUT) :: grid_z !<
	409
	410	found = .TRUE.
	411
	412	!
	413	!-- Check for the grid
	414	SELECT CASE ( TRIM( var ) )
	415
	416	CASE ( 'pcm_heatrate', 'pcm_lad' )
	417	grid_x = 'x'
	418	grid_y = 'y'
	419	grid_z = 'zu'
	420
	421	CASE DEFAULT
	422	found = .FALSE.
	423	grid_x = 'none'
	424	grid_y = 'none'
	425	grid_z = 'none'
	426	END SELECT
	427
	428	END SUBROUTINE pcm_define_netcdf_grid
	429
	430
	431	!------------------------------------------------------------------------------!
	432	! Description:
	433	! ------------
[1826]	434	!> Header output for plant canopy model
	435	!------------------------------------------------------------------------------!
	436	SUBROUTINE pcm_header ( io )
	437
	438	USE control_parameters, &
	439	ONLY: dz, passive_scalar
	440
	441
	442	IMPLICIT NONE
	443
	444	CHARACTER (LEN=10) :: coor_chr !<
	445
	446	CHARACTER (LEN=86) :: coordinates !<
	447	CHARACTER (LEN=86) :: gradients !<
	448	CHARACTER (LEN=86) :: leaf_area_density !<
	449	CHARACTER (LEN=86) :: slices !<
	450
	451	INTEGER(iwp) :: i !<
	452	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
	453	INTEGER(iwp) :: k !<
	454
	455	REAL(wp) :: canopy_height !< canopy height (in m)
	456
	457	canopy_height = pch_index * dz
	458
	459	WRITE ( io, 1 ) canopy_mode, canopy_height, pch_index, &
	460	canopy_drag_coeff
	461	IF ( passive_scalar ) THEN
	462	WRITE ( io, 2 ) leaf_scalar_exch_coeff, &
	463	leaf_surface_conc
	464	ENDIF
	465
	466	!
	467	!-- Heat flux at the top of vegetation
	468	WRITE ( io, 3 ) cthf
	469
	470	!
	471	!-- Leaf area density profile, calculated either from given vertical
	472	!-- gradients or from beta probability density function.
	473	IF ( .NOT. calc_beta_lad_profile ) THEN
	474
	475	!-- Building output strings, starting with surface value
	476	WRITE ( leaf_area_density, '(F7.4)' ) lad_surface
	477	gradients = '------'
	478	slices = ' 0'
	479	coordinates = ' 0.0'
	480	i = 1
	481	DO WHILE ( i < 11 .AND. lad_vertical_gradient_level_ind(i) &
	482	/= -9999 )
	483
	484	WRITE (coor_chr,'(F7.2)') lad(lad_vertical_gradient_level_ind(i))
	485	leaf_area_density = TRIM( leaf_area_density ) // ' ' // &
	486	TRIM( coor_chr )
	487
	488	WRITE (coor_chr,'(F7.2)') lad_vertical_gradient(i)
	489	gradients = TRIM( gradients ) // ' ' // TRIM( coor_chr )
	490
	491	WRITE (coor_chr,'(I7)') lad_vertical_gradient_level_ind(i)
	492	slices = TRIM( slices ) // ' ' // TRIM( coor_chr )
	493
	494	WRITE (coor_chr,'(F7.1)') lad_vertical_gradient_level(i)
	495	coordinates = TRIM( coordinates ) // ' ' // TRIM( coor_chr )
	496
	497	i = i + 1
	498	ENDDO
	499
	500	WRITE ( io, 4 ) TRIM( coordinates ), TRIM( leaf_area_density ), &
	501	TRIM( gradients ), TRIM( slices )
	502
	503	ELSE
	504
	505	WRITE ( leaf_area_density, '(F7.4)' ) lad_surface
	506	coordinates = ' 0.0'
	507
	508	DO k = 1, pch_index
	509
	510	WRITE (coor_chr,'(F7.2)') lad(k)
	511	leaf_area_density = TRIM( leaf_area_density ) // ' ' // &
	512	TRIM( coor_chr )
	513
	514	WRITE (coor_chr,'(F7.1)') zu(k)
	515	coordinates = TRIM( coordinates ) // ' ' // TRIM( coor_chr )
	516
	517	ENDDO
	518
	519	WRITE ( io, 5 ) TRIM( coordinates ), TRIM( leaf_area_density ), &
	520	alpha_lad, beta_lad, lai_beta
	521
	522	ENDIF
	523
	524	1 FORMAT (//' Vegetation canopy (drag) model:'/ &
	525	' ------------------------------'// &
	526	' Canopy mode: ', A / &
	527	' Canopy height: ',F6.2,'m (',I4,' grid points)' / &
	528	' Leaf drag coefficient: ',F6.2 /)
	529	2 FORMAT (/ ' Scalar exchange coefficient: ',F6.2 / &
	530	' Scalar concentration at leaf surfaces in kg/m**3: ',F6.2 /)
	531	3 FORMAT (' Predefined constant heatflux at the top of the vegetation: ',F6.2, &
	532	' K m/s')
	533	4 FORMAT (/ ' Characteristic levels of the leaf area density:'// &
	534	' Height: ',A,' m'/ &
	535	' Leaf area density: ',A,' m2/m3'/ &
	536	' Gradient: ',A,' m2/m4'/ &
	537	' Gridpoint: ',A)
	538	5 FORMAT (//' Characteristic levels of the leaf area density and coefficients:'&
	539	// ' Height: ',A,' m'/ &
	540	' Leaf area density: ',A,' m2/m3'/ &
	541	' Coefficient alpha: ',F6.2 / &
	542	' Coefficient beta: ',F6.2 / &
	543	' Leaf area index: ',F6.2,' m2/m2' /)
	544
	545	END SUBROUTINE pcm_header
	546
	547
	548	!------------------------------------------------------------------------------!
	549	! Description:
	550	! ------------
[1682]	551	!> Initialization of the plant canopy model
[138]	552	!------------------------------------------------------------------------------!
[1826]	553	SUBROUTINE pcm_init
[1484]	554
	555
	556	USE control_parameters, &
[2213]	557	ONLY: coupling_char, dz, humidity, io_blocks, io_group, &
[2232]	558	message_string, ocean, passive_scalar, urban_surface
[1484]	559
[2232]	560	USE surface_mod, &
	561	ONLY: surf_def_h, surf_lsm_h, surf_usm_h
[1484]	562
	563	IMPLICIT NONE
	564
[2007]	565	CHARACTER(10) :: pct
	566
	567	INTEGER(iwp) :: i !< running index
	568	INTEGER(iwp) :: ii !< index
	569	INTEGER(iwp) :: j !< running index
	570	INTEGER(iwp) :: k !< running index
[2232]	571	INTEGER(iwp) :: m !< running index
[1484]	572
[2007]	573	REAL(wp) :: int_bpdf !< vertical integral for lad-profile construction
	574	REAL(wp) :: dzh !< vertical grid spacing in units of canopy height
	575	REAL(wp) :: gradient !< gradient for lad-profile construction
	576	REAL(wp) :: canopy_height !< canopy height for lad-profile construction
	577	REAL(wp) :: pcv(nzb:nzt+1) !<
	578
[1484]	579	!
	580	!-- Allocate one-dimensional arrays for the computation of the
	581	!-- leaf area density (lad) profile
	582	ALLOCATE( lad(0:nz+1), pre_lad(0:nz+1) )
	583	lad = 0.0_wp
	584	pre_lad = 0.0_wp
	585
	586	!
[1826]	587	!-- Set flag that indicates that the lad-profile shall be calculated by using
	588	!-- a beta probability density function
	589	IF ( alpha_lad /= 9999999.9_wp .AND. beta_lad /= 9999999.9_wp ) THEN
	590	calc_beta_lad_profile = .TRUE.
	591	ENDIF
	592
	593
	594	!
[1484]	595	!-- Compute the profile of leaf area density used in the plant
	596	!-- canopy model. The profile can either be constructed from
	597	!-- prescribed vertical gradients of the leaf area density or by
	598	!-- using a beta probability density function (see e.g. Markkanen et al.,
	599	!-- 2003: Boundary-Layer Meteorology, 106, 437-459)
	600	IF ( .NOT. calc_beta_lad_profile ) THEN
	601
	602	!
	603	!-- Use vertical gradients for lad-profile construction
	604	i = 1
	605	gradient = 0.0_wp
	606
	607	IF ( .NOT. ocean ) THEN
	608
	609	lad(0) = lad_surface
	610	lad_vertical_gradient_level_ind(1) = 0
	611
	612	DO k = 1, pch_index
	613	IF ( i < 11 ) THEN
	614	IF ( lad_vertical_gradient_level(i) < zu(k) .AND. &
	615	lad_vertical_gradient_level(i) >= 0.0_wp ) THEN
	616	gradient = lad_vertical_gradient(i)
	617	lad_vertical_gradient_level_ind(i) = k - 1
	618	i = i + 1
	619	ENDIF
	620	ENDIF
	621	IF ( gradient /= 0.0_wp ) THEN
	622	IF ( k /= 1 ) THEN
	623	lad(k) = lad(k-1) + dzu(k) * gradient
	624	ELSE
	625	lad(k) = lad_surface + dzu(k) * gradient
	626	ENDIF
	627	ELSE
	628	lad(k) = lad(k-1)
	629	ENDIF
	630	ENDDO
	631
	632	ENDIF
	633
	634	!
	635	!-- In case of no given leaf area density gradients, choose a vanishing
	636	!-- gradient. This information is used for the HEADER and the RUN_CONTROL
	637	!-- file.
	638	IF ( lad_vertical_gradient_level(1) == -9999999.9_wp ) THEN
	639	lad_vertical_gradient_level(1) = 0.0_wp
	640	ENDIF
	641
	642	ELSE
	643
	644	!
	645	!-- Use beta function for lad-profile construction
	646	int_bpdf = 0.0_wp
	647	canopy_height = pch_index * dz
	648
[2232]	649	DO k = 0, pch_index
[1484]	650	int_bpdf = int_bpdf + &
[1826]	651	( ( ( zw(k) / canopy_height )*( alpha_lad-1.0_wp ) ) &
	652	( ( 1.0_wp - ( zw(k) / canopy_height ) )**( &
	653	beta_lad-1.0_wp ) ) &
	654	* ( ( zw(k+1)-zw(k) ) / canopy_height ) )
[1484]	655	ENDDO
	656
	657	!
	658	!-- Preliminary lad profile (defined on w-grid)
[2232]	659	DO k = 0, pch_index
[1826]	660	pre_lad(k) = lai_beta * &
	661	( ( ( zw(k) / canopy_height )**( alpha_lad-1.0_wp ) ) &
	662	* ( ( 1.0_wp - ( zw(k) / canopy_height ) )**( &
	663	beta_lad-1.0_wp ) ) / int_bpdf &
	664	) / canopy_height
[1484]	665	ENDDO
	666
	667	!
	668	!-- Final lad profile (defined on scalar-grid level, since most prognostic
	669	!-- quantities are defined there, hence, less interpolation is required
	670	!-- when calculating the canopy tendencies)
	671	lad(0) = pre_lad(0)
[2232]	672	DO k = 1, pch_index
[1484]	673	lad(k) = 0.5 * ( pre_lad(k-1) + pre_lad(k) )
	674	ENDDO
	675
	676	ENDIF
	677
	678	!
[2213]	679	!-- Allocate 3D-array for the leaf area density (lad_s).
[1484]	680	ALLOCATE( lad_s(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	681
	682	!
	683	!-- Initialize canopy parameters cdc (canopy drag coefficient),
	684	!-- lsec (leaf scalar exchange coefficient), lsc (leaf surface concentration)
	685	!-- with the prescribed values
	686	cdc = canopy_drag_coeff
	687	lsec = leaf_scalar_exch_coeff
	688	lsc = leaf_surface_conc
	689
	690	!
	691	!-- Initialization of the canopy coverage in the model domain:
	692	!-- Setting the parameter canopy_mode = 'block' initializes a canopy, which
	693	!-- fully covers the domain surface
	694	SELECT CASE ( TRIM( canopy_mode ) )
	695
	696	CASE( 'block' )
	697
	698	DO i = nxlg, nxrg
	699	DO j = nysg, nyng
	700	lad_s(:,j,i) = lad(:)
	701	ENDDO
	702	ENDDO
	703
[2007]	704	CASE ( 'read_from_file_3d' )
	705	!
	706	!-- Initialize canopy parameters cdc (canopy drag coefficient),
	707	!-- lsec (leaf scalar exchange coefficient), lsc (leaf surface concentration)
	708	!-- from file which contains complete 3D data (separate vertical profiles for
	709	!-- each location).
	710	CALL pcm_read_plant_canopy_3d
	711
[1484]	712	CASE DEFAULT
	713	!
[2007]	714	!-- The DEFAULT case is reached either if the parameter
	715	!-- canopy mode contains a wrong character string or if the
	716	!-- user has coded a special case in the user interface.
	717	!-- There, the subroutine user_init_plant_canopy checks
	718	!-- which of these two conditions applies.
	719	CALL user_init_plant_canopy
[1484]	720
	721	END SELECT
	722
	723	!
[2011]	724	!-- Initialization of the canopy heat source distribution due to heating
	725	!-- of the canopy layers by incoming solar radiation, in case that a non-zero
	726	!-- value is set for the canopy top heat flux (cthf), which equals the
	727	!-- available net radiation at canopy top.
	728	!-- The heat source distribution is calculated by a decaying exponential
	729	!-- function of the downward cumulative leaf area index (cum_lai_hf),
	730	!-- assuming that the foliage inside the plant canopy is heated by solar
	731	!-- radiation penetrating the canopy layers according to the distribution
	732	!-- of net radiation as suggested by Brown & Covey (1966; Agric. Meteorol. 3,
	733	!-- 73â96). This approach has been applied e.g. by Shaw & Schumann (1992;
[2213]	734	!-- Bound.-Layer Meteorol. 61, 47â64).
	735	!-- When using the urban surface model (USM), canopy heating (pc_heating_rate)
	736	!-- by radiation is calculated in the USM.
	737	IF ( cthf /= 0.0_wp .AND. .NOT. urban_surface) THEN
	738
	739	ALLOCATE( cum_lai_hf(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
	740	pc_heating_rate(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1484]	741	!
[2011]	742	!-- Piecewise calculation of the cumulative leaf area index by vertical
[1484]	743	!-- integration of the leaf area density
	744	cum_lai_hf(:,:,:) = 0.0_wp
	745	DO i = nxlg, nxrg
	746	DO j = nysg, nyng
	747	DO k = pch_index-1, 0, -1
	748	IF ( k == pch_index-1 ) THEN
	749	cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + &
	750	( 0.5_wp * lad_s(k+1,j,i) * &
	751	( zw(k+1) - zu(k+1) ) ) + &
	752	( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + &
	753	lad_s(k,j,i) ) + &
	754	lad_s(k+1,j,i) ) * &
	755	( zu(k+1) - zw(k) ) )
	756	ELSE
	757	cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + &
	758	( 0.5_wp * ( 0.5_wp * ( lad_s(k+2,j,i) + &
	759	lad_s(k+1,j,i) ) + &
	760	lad_s(k+1,j,i) ) * &
	761	( zw(k+1) - zu(k+1) ) ) + &
	762	( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + &
	763	lad_s(k,j,i) ) + &
	764	lad_s(k+1,j,i) ) * &
	765	( zu(k+1) - zw(k) ) )
	766	ENDIF
	767	ENDDO
	768	ENDDO
	769	ENDDO
	770
[2232]	771	!
	772	!-- In areas with canopy the surface value of the canopy heat
	773	!-- flux distribution overrides the surface heat flux (shf)
	774	!-- Start with default surface type
	775	DO m = 1, surf_def_h(0)%ns
	776	k = surf_def_h(0)%k(m)
	777	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) &
	778	surf_def_h(0)%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) )
	779	ENDDO
[1484]	780	!
[2232]	781	!-- Natural surfaces
	782	DO m = 1, surf_lsm_h%ns
	783	k = surf_lsm_h%k(m)
	784	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) &
	785	surf_lsm_h%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) )
	786	ENDDO
	787	!
	788	!-- Urban surfaces
	789	DO m = 1, surf_usm_h%ns
	790	k = surf_usm_h%k(m)
	791	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) &
	792	surf_usm_h%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) )
	793	ENDDO
	794	!
	795	!
[2011]	796	!-- Calculation of the heating rate (K/s) within the different layers of
[2232]	797	!-- the plant canopy. Calculation is only necessary in areas covered with
	798	!-- canopy.
	799	!-- Within the different canopy layers the plant-canopy heating
	800	!-- rate (pc_heating_rate) is calculated as the vertical
	801	!-- divergence of the canopy heat fluxes at the top and bottom
	802	!-- of the respective layer
[1484]	803	DO i = nxlg, nxrg
	804	DO j = nysg, nyng
[2232]	805	DO k = 1, pch_index
	806	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) THEN
	807	pc_heating_rate(k,j,i) = cthf * &
	808	( exp(-ext_coef*cum_lai_hf(k,j,i)) - &
	809	exp(-ext_coef*cum_lai_hf(k-1,j,i) ) ) / dzw(k)
	810	ENDIF
	811	ENDDO
[1721]	812	ENDDO
	813	ENDDO
[1484]	814
	815	ENDIF
	816
	817
	818
[1826]	819	END SUBROUTINE pcm_init
[1484]	820
	821
[2007]	822	!------------------------------------------------------------------------------!
	823	! Description:
	824	! ------------
	825	!> Parin for &canopy_par for plant canopy model
	826	!------------------------------------------------------------------------------!
	827	SUBROUTINE pcm_parin
[1484]	828
[2007]	829
	830	IMPLICIT NONE
	831
	832	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	833
	834	NAMELIST /canopy_par/ alpha_lad, beta_lad, canopy_drag_coeff, &
	835	canopy_mode, cthf, &
	836	lad_surface, &
	837	lad_vertical_gradient, &
	838	lad_vertical_gradient_level, &
	839	lai_beta, &
	840	leaf_scalar_exch_coeff, &
	841	leaf_surface_conc, pch_index
	842
	843	line = ' '
	844
	845	!
	846	!-- Try to find radiation model package
	847	REWIND ( 11 )
	848	line = ' '
	849	DO WHILE ( INDEX( line, '&canopy_par' ) == 0 )
	850	READ ( 11, '(A)', END=10 ) line
	851	ENDDO
	852	BACKSPACE ( 11 )
	853
	854	!
	855	!-- Read user-defined namelist
	856	READ ( 11, canopy_par )
	857
	858	!
	859	!-- Set flag that indicates that the radiation model is switched on
	860	plant_canopy = .TRUE.
	861
	862	10 CONTINUE
	863
	864
	865	END SUBROUTINE pcm_parin
	866
	867
	868
[1484]	869	!------------------------------------------------------------------------------!
	870	! Description:
	871	! ------------
[2007]	872	!
	873	!> Loads 3D plant canopy data from file. File format is as follows:
	874	!>
	875	!> num_levels
	876	!> dtype,x,y,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1)
	877	!> dtype,x,y,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1)
	878	!> dtype,x,y,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1)
	879	!> ...
	880	!>
	881	!> i.e. first line determines number of levels and further lines represent plant
	882	!> canopy data, one line per column and variable. In each data line,
	883	!> dtype represents variable to be set:
	884	!>
	885	!> dtype=1: leaf area density (lad_s)
[2213]	886	!> dtype=2....n: some additional plant canopy input data quantity
[2007]	887	!>
	888	!> Zeros are added automatically above num_levels until top of domain. Any
	889	!> non-specified (x,y) columns have zero values as default.
	890	!------------------------------------------------------------------------------!
	891	SUBROUTINE pcm_read_plant_canopy_3d
[2213]	892
	893	USE control_parameters, &
	894	ONLY: message_string, passive_scalar
[2007]	895
[2213]	896	USE indices, &
	897	ONLY: nbgp
	898
	899	IMPLICIT NONE
[2007]	900
[2213]	901	INTEGER(iwp) :: dtype !< type of input data (1=lad)
	902	INTEGER(iwp) :: i, j !< running index
	903	INTEGER(iwp) :: nzp !< number of vertical layers of plant canopy
	904	INTEGER(iwp) :: nzpltop !<
	905	INTEGER(iwp) :: nzpl !<
	906
	907	REAL(wp), DIMENSION(:), ALLOCATABLE :: col !< vertical column of input data
[2007]	908
[2213]	909	!
	910	!-- Initialize lad_s array
	911	lad_s = 0.0_wp
	912
	913	!
	914	!-- Open and read plant canopy input data
	915	OPEN(152, file='PLANT_CANOPY_DATA_3D', access='SEQUENTIAL', &
	916	action='READ', status='OLD', form='FORMATTED', err=515)
	917	READ(152, *, err=516, end=517) nzp !< read first line = number of vertical layers
	918
	919	ALLOCATE(col(0:nzp-1))
[2007]	920
[2213]	921	DO
	922	READ(152, *, err=516, end=517) dtype, i, j, col(:)
	923	IF ( i < nxlg .or. i > nxrg .or. j < nysg .or. j > nyng ) CYCLE
[2007]	924
[2213]	925	SELECT CASE (dtype)
	926	CASE( 1 ) !< leaf area density
	927	!
	928	!-- This is just the pure canopy layer assumed to be grounded to
	929	!-- a flat domain surface. At locations where plant canopy sits
	930	!-- on top of any kind of topography, the vertical plant column
	931	!-- must be "lifted", which is done in SUBROUTINE pcm_tendency.
	932	lad_s(0:nzp-1, j, i) = col(0:nzp-1)
	933
	934	CASE DEFAULT
	935	write(message_string, '(a,i2,a)') &
	936	'Unknown record type in file PLANT_CANOPY_DATA_3D: "', dtype, '"'
	937	CALL message( 'pcm_read_plant_canopy_3d', 'PA0530', 1, 2, 0, 6, 0 )
	938	END SELECT
	939	ENDDO
[2007]	940
[2213]	941	515 message_string = 'error opening file PLANT_CANOPY_DATA_3D'
	942	CALL message( 'pcm_read_plant_canopy_3d', 'PA0531', 1, 2, 0, 6, 0 )
[2007]	943
[2213]	944	516 message_string = 'error reading file PLANT_CANOPY_DATA_3D'
	945	CALL message( 'pcm_read_plant_canopy_3d', 'PA0532', 1, 2, 0, 6, 0 )
	946
	947	517 CLOSE(152)
	948	DEALLOCATE(col)
	949
	950	CALL exchange_horiz( lad_s, nbgp )
[2007]	951
	952	END SUBROUTINE pcm_read_plant_canopy_3d
	953
	954
	955
	956	!------------------------------------------------------------------------------!
	957	! Description:
	958	! ------------
[1682]	959	!> Calculation of the tendency terms, accounting for the effect of the plant
	960	!> canopy on momentum and scalar quantities.
	961	!>
	962	!> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0
[1826]	963	!> (defined on scalar grid), as initialized in subroutine pcm_init.
[1682]	964	!> The lad on the w-grid is vertically interpolated from the surrounding
	965	!> lad_s. The upper boundary of the canopy is defined on the w-grid at
	966	!> k = pch_index. Here, the lad is zero.
	967	!>
	968	!> The canopy drag must be limited (previously accounted for by calculation of
	969	!> a limiting canopy timestep for the determination of the maximum LES timestep
	970	!> in subroutine timestep), since it is physically impossible that the canopy
	971	!> drag alone can locally change the sign of a velocity component. This
	972	!> limitation is realized by calculating preliminary tendencies and velocities.
	973	!> It is subsequently checked if the preliminary new velocity has a different
	974	!> sign than the current velocity. If so, the tendency is limited in a way that
	975	!> the velocity can at maximum be reduced to zero by the canopy drag.
	976	!>
	977	!>
	978	!> Call for all grid points
[1484]	979	!------------------------------------------------------------------------------!
[1826]	980	SUBROUTINE pcm_tendency( component )
[138]	981
	982
[1320]	983	USE control_parameters, &
[1484]	984	ONLY: dt_3d, message_string
[1320]	985
	986	USE kinds
	987
[138]	988	IMPLICIT NONE
	989
[1682]	990	INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e)
	991	INTEGER(iwp) :: i !< running index
	992	INTEGER(iwp) :: j !< running index
	993	INTEGER(iwp) :: k !< running index
[2232]	994	INTEGER(iwp) :: k_wall !< vertical index of topography top
[1721]	995	INTEGER(iwp) :: kk !< running index for flat lad arrays
[1484]	996
[1682]	997	REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d)
	998	REAL(wp) :: lad_local !< local lad value
	999	REAL(wp) :: pre_tend !< preliminary tendency
	1000	REAL(wp) :: pre_u !< preliminary u-value
	1001	REAL(wp) :: pre_v !< preliminary v-value
	1002	REAL(wp) :: pre_w !< preliminary w-value
[1484]	1003
	1004
	1005	ddt_3d = 1.0_wp / dt_3d
[138]	1006
	1007	!
[1484]	1008	!-- Compute drag for the three velocity components and the SGS-TKE:
[138]	1009	SELECT CASE ( component )
	1010
	1011	!
	1012	!-- u-component
	1013	CASE ( 1 )
	1014	DO i = nxlu, nxr
	1015	DO j = nys, nyn
[2232]	1016	!
	1017	!-- Determine topography-top index on u-grid
	1018	k_wall = MAXLOC( &
	1019	MERGE( 1, 0, &
	1020	BTEST( wall_flags_0(nzb:nzb_max,j,i), 14 ) &
	1021	), DIM = 1 &
	1022	) - 1
	1023	DO k = k_wall+1, k_wall+pch_index
[1484]	1024
[2232]	1025	kk = k - k_wall !- lad arrays are defined flat
[1484]	1026	!
	1027	!-- In order to create sharp boundaries of the plant canopy,
	1028	!-- the lad on the u-grid at index (k,j,i) is equal to
	1029	!-- lad_s(k,j,i), rather than being interpolated from the
	1030	!-- surrounding lad_s, because this would yield smaller lad
	1031	!-- at the canopy boundaries than inside of the canopy.
	1032	!-- For the same reason, the lad at the rightmost(i+1)canopy
	1033	!-- boundary on the u-grid equals lad_s(k,j,i).
[1721]	1034	lad_local = lad_s(kk,j,i)
	1035	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp )&
	1036	THEN
	1037	lad_local = lad_s(kk,j,i-1)
[1484]	1038	ENDIF
	1039
	1040	pre_tend = 0.0_wp
	1041	pre_u = 0.0_wp
	1042	!
	1043	!-- Calculate preliminary value (pre_tend) of the tendency
	1044	pre_tend = - cdc * &
	1045	lad_local * &
	1046	SQRT( u(k,j,i)**2 + &
	1047	( 0.25_wp * ( v(k,j,i-1) + &
	1048	v(k,j,i) + &
	1049	v(k,j+1,i) + &
	1050	v(k,j+1,i-1) ) &
	1051	)**2 + &
	1052	( 0.25_wp * ( w(k-1,j,i-1) + &
	1053	w(k-1,j,i) + &
	1054	w(k,j,i-1) + &
	1055	w(k,j,i) ) &
	1056	)**2 &
	1057	) * &
	1058	u(k,j,i)
	1059
	1060	!
	1061	!-- Calculate preliminary new velocity, based on pre_tend
	1062	pre_u = u(k,j,i) + dt_3d * pre_tend
	1063	!
	1064	!-- Compare sign of old velocity and new preliminary velocity,
	1065	!-- and in case the signs are different, limit the tendency
	1066	IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN
	1067	pre_tend = - u(k,j,i) * ddt_3d
	1068	ELSE
	1069	pre_tend = pre_tend
	1070	ENDIF
	1071	!
	1072	!-- Calculate final tendency
	1073	tend(k,j,i) = tend(k,j,i) + pre_tend
	1074
[138]	1075	ENDDO
	1076	ENDDO
	1077	ENDDO
	1078
	1079	!
	1080	!-- v-component
	1081	CASE ( 2 )
	1082	DO i = nxl, nxr
	1083	DO j = nysv, nyn
[2232]	1084	!
	1085	!-- Determine topography-top index on v-grid
	1086	k_wall = MAXLOC( &
	1087	MERGE( 1, 0, &
	1088	BTEST( wall_flags_0(nzb:nzb_max,j,i), 16 ) &
	1089	), DIM = 1 &
	1090	) - 1
	1091	DO k = k_wall+1, k_wall+pch_index
[1484]	1092
[2232]	1093	kk = k - k_wall !- lad arrays are defined flat
[1484]	1094	!
	1095	!-- In order to create sharp boundaries of the plant canopy,
	1096	!-- the lad on the v-grid at index (k,j,i) is equal to
	1097	!-- lad_s(k,j,i), rather than being interpolated from the
	1098	!-- surrounding lad_s, because this would yield smaller lad
	1099	!-- at the canopy boundaries than inside of the canopy.
	1100	!-- For the same reason, the lad at the northmost(j+1) canopy
	1101	!-- boundary on the v-grid equals lad_s(k,j,i).
[1721]	1102	lad_local = lad_s(kk,j,i)
	1103	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp )&
	1104	THEN
	1105	lad_local = lad_s(kk,j-1,i)
[1484]	1106	ENDIF
	1107
	1108	pre_tend = 0.0_wp
	1109	pre_v = 0.0_wp
	1110	!
	1111	!-- Calculate preliminary value (pre_tend) of the tendency
	1112	pre_tend = - cdc * &
	1113	lad_local * &
	1114	SQRT( ( 0.25_wp * ( u(k,j-1,i) + &
	1115	u(k,j-1,i+1) + &
	1116	u(k,j,i) + &
	1117	u(k,j,i+1) ) &
	1118	)**2 + &
	1119	v(k,j,i)**2 + &
	1120	( 0.25_wp * ( w(k-1,j-1,i) + &
	1121	w(k-1,j,i) + &
	1122	w(k,j-1,i) + &
	1123	w(k,j,i) ) &
	1124	)**2 &
	1125	) * &
	1126	v(k,j,i)
	1127
	1128	!
	1129	!-- Calculate preliminary new velocity, based on pre_tend
	1130	pre_v = v(k,j,i) + dt_3d * pre_tend
	1131	!
	1132	!-- Compare sign of old velocity and new preliminary velocity,
	1133	!-- and in case the signs are different, limit the tendency
	1134	IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN
	1135	pre_tend = - v(k,j,i) * ddt_3d
	1136	ELSE
	1137	pre_tend = pre_tend
	1138	ENDIF
	1139	!
	1140	!-- Calculate final tendency
	1141	tend(k,j,i) = tend(k,j,i) + pre_tend
	1142
[138]	1143	ENDDO
	1144	ENDDO
	1145	ENDDO
	1146
	1147	!
	1148	!-- w-component
	1149	CASE ( 3 )
	1150	DO i = nxl, nxr
	1151	DO j = nys, nyn
[2232]	1152	!
	1153	!-- Determine topography-top index on w-grid
	1154	k_wall = MAXLOC( &
	1155	MERGE( 1, 0, &
	1156	BTEST( wall_flags_0(nzb:nzb_max,j,i), 18 ) &
	1157	), DIM = 1 &
	1158	) - 1
	1159	DO k = k_wall+1, k_wall+pch_index-1
[1484]	1160
[2232]	1161	kk = k - k_wall !- lad arrays are defined flat
[1721]	1162
[1484]	1163	pre_tend = 0.0_wp
	1164	pre_w = 0.0_wp
	1165	!
	1166	!-- Calculate preliminary value (pre_tend) of the tendency
	1167	pre_tend = - cdc * &
	1168	(0.5_wp * &
[1721]	1169	( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * &
[1484]	1170	SQRT( ( 0.25_wp * ( u(k,j,i) + &
	1171	u(k,j,i+1) + &
	1172	u(k+1,j,i) + &
	1173	u(k+1,j,i+1) ) &
	1174	)**2 + &
	1175	( 0.25_wp * ( v(k,j,i) + &
	1176	v(k,j+1,i) + &
	1177	v(k+1,j,i) + &
	1178	v(k+1,j+1,i) ) &
	1179	)**2 + &
	1180	w(k,j,i)**2 &
	1181	) * &
	1182	w(k,j,i)
	1183	!
	1184	!-- Calculate preliminary new velocity, based on pre_tend
	1185	pre_w = w(k,j,i) + dt_3d * pre_tend
	1186	!
	1187	!-- Compare sign of old velocity and new preliminary velocity,
	1188	!-- and in case the signs are different, limit the tendency
	1189	IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN
	1190	pre_tend = - w(k,j,i) * ddt_3d
	1191	ELSE
	1192	pre_tend = pre_tend
	1193	ENDIF
	1194	!
	1195	!-- Calculate final tendency
	1196	tend(k,j,i) = tend(k,j,i) + pre_tend
	1197
[138]	1198	ENDDO
	1199	ENDDO
	1200	ENDDO
	1201
	1202	!
[153]	1203	!-- potential temperature
[138]	1204	CASE ( 4 )
	1205	DO i = nxl, nxr
	1206	DO j = nys, nyn
[2232]	1207	!
	1208	!-- Determine topography-top index on scalar-grid
	1209	k_wall = MAXLOC( &
	1210	MERGE( 1, 0, &
	1211	BTEST( wall_flags_0(nzb:nzb_max,j,i), 12 ) &
	1212	), DIM = 1 &
	1213	) - 1
	1214	DO k = k_wall+1, k_wall+pch_index
	1215
	1216	kk = k - k_wall !- lad arrays are defined flat
[2011]	1217	tend(k,j,i) = tend(k,j,i) + pc_heating_rate(kk,j,i)
[153]	1218	ENDDO
	1219	ENDDO
	1220	ENDDO
	1221
	1222	!
[1960]	1223	!-- humidity
[153]	1224	CASE ( 5 )
	1225	DO i = nxl, nxr
	1226	DO j = nys, nyn
[2232]	1227	!
	1228	!-- Determine topography-top index on scalar-grid
	1229	k_wall = MAXLOC( &
	1230	MERGE( 1, 0, &
	1231	BTEST( wall_flags_0(nzb:nzb_max,j,i), 12 ) &
	1232	), DIM = 1 &
	1233	) - 1
	1234	DO k = k_wall+1, k_wall+pch_index
	1235
	1236	kk = k - k_wall !- lad arrays are defined flat
[1484]	1237	tend(k,j,i) = tend(k,j,i) - &
	1238	lsec * &
[1721]	1239	lad_s(kk,j,i) * &
[1484]	1240	SQRT( ( 0.5_wp * ( u(k,j,i) + &
	1241	u(k,j,i+1) ) &
	1242	)**2 + &
	1243	( 0.5_wp * ( v(k,j,i) + &
	1244	v(k,j+1,i) ) &
	1245	)**2 + &
	1246	( 0.5_wp * ( w(k-1,j,i) + &
	1247	w(k,j,i) ) &
	1248	)**2 &
	1249	) * &
	1250	( q(k,j,i) - lsc )
[153]	1251	ENDDO
	1252	ENDDO
	1253	ENDDO
	1254
	1255	!
	1256	!-- sgs-tke
	1257	CASE ( 6 )
	1258	DO i = nxl, nxr
	1259	DO j = nys, nyn
[2232]	1260	!
	1261	!-- Determine topography-top index on scalar-grid
	1262	k_wall = MAXLOC( &
	1263	MERGE( 1, 0, &
	1264	BTEST( wall_flags_0(nzb:nzb_max,j,i), 12 ) &
	1265	), DIM = 1 &
	1266	) - 1
	1267	DO k = k_wall+1, k_wall+pch_index
	1268
	1269	kk = k - k_wall !- lad arrays are defined flat
[1484]	1270	tend(k,j,i) = tend(k,j,i) - &
	1271	2.0_wp * cdc * &
[1721]	1272	lad_s(kk,j,i) * &
[1484]	1273	SQRT( ( 0.5_wp * ( u(k,j,i) + &
	1274	u(k,j,i+1) ) &
	1275	)**2 + &
	1276	( 0.5_wp * ( v(k,j,i) + &
	1277	v(k,j+1,i) ) &
	1278	)**2 + &
	1279	( 0.5_wp * ( w(k,j,i) + &
	1280	w(k+1,j,i) ) &
	1281	)**2 &
	1282	) * &
	1283	e(k,j,i)
[138]	1284	ENDDO
	1285	ENDDO
	1286	ENDDO
[1960]	1287	!
	1288	!-- scalar concentration
	1289	CASE ( 7 )
	1290	DO i = nxl, nxr
	1291	DO j = nys, nyn
[2232]	1292	!
	1293	!-- Determine topography-top index on scalar-grid
	1294	k_wall = MAXLOC( &
	1295	MERGE( 1, 0, &
	1296	BTEST( wall_flags_0(nzb:nzb_max,j,i), 12 ) &
	1297	), DIM = 1 &
	1298	) - 1
	1299	DO k = k_wall+1, k_wall+pch_index
	1300
	1301	kk = k - k_wall !- lad arrays are defined flat
[1960]	1302	tend(k,j,i) = tend(k,j,i) - &
	1303	lsec * &
	1304	lad_s(kk,j,i) * &
	1305	SQRT( ( 0.5_wp * ( u(k,j,i) + &
	1306	u(k,j,i+1) ) &
	1307	)**2 + &
	1308	( 0.5_wp * ( v(k,j,i) + &
	1309	v(k,j+1,i) ) &
	1310	)**2 + &
	1311	( 0.5_wp * ( w(k-1,j,i) + &
	1312	w(k,j,i) ) &
	1313	)**2 &
	1314	) * &
	1315	( s(k,j,i) - lsc )
	1316	ENDDO
	1317	ENDDO
	1318	ENDDO
[1484]	1319
	1320
[1960]	1321
[138]	1322	CASE DEFAULT
	1323
[257]	1324	WRITE( message_string, * ) 'wrong component: ', component
[1826]	1325	CALL message( 'pcm_tendency', 'PA0279', 1, 2, 0, 6, 0 )
[138]	1326
	1327	END SELECT
	1328
[1826]	1329	END SUBROUTINE pcm_tendency
[138]	1330
	1331
	1332	!------------------------------------------------------------------------------!
[1484]	1333	! Description:
	1334	! ------------
[1682]	1335	!> Calculation of the tendency terms, accounting for the effect of the plant
	1336	!> canopy on momentum and scalar quantities.
	1337	!>
	1338	!> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0
[1826]	1339	!> (defined on scalar grid), as initialized in subroutine pcm_init.
[1682]	1340	!> The lad on the w-grid is vertically interpolated from the surrounding
	1341	!> lad_s. The upper boundary of the canopy is defined on the w-grid at
	1342	!> k = pch_index. Here, the lad is zero.
	1343	!>
	1344	!> The canopy drag must be limited (previously accounted for by calculation of
	1345	!> a limiting canopy timestep for the determination of the maximum LES timestep
	1346	!> in subroutine timestep), since it is physically impossible that the canopy
	1347	!> drag alone can locally change the sign of a velocity component. This
	1348	!> limitation is realized by calculating preliminary tendencies and velocities.
	1349	!> It is subsequently checked if the preliminary new velocity has a different
	1350	!> sign than the current velocity. If so, the tendency is limited in a way that
	1351	!> the velocity can at maximum be reduced to zero by the canopy drag.
	1352	!>
	1353	!>
	1354	!> Call for grid point i,j
[138]	1355	!------------------------------------------------------------------------------!
[1826]	1356	SUBROUTINE pcm_tendency_ij( i, j, component )
[138]	1357
	1358
[1320]	1359	USE control_parameters, &
[1484]	1360	ONLY: dt_3d, message_string
[1320]	1361
	1362	USE kinds
	1363
[138]	1364	IMPLICIT NONE
	1365
[1682]	1366	INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e)
	1367	INTEGER(iwp) :: i !< running index
	1368	INTEGER(iwp) :: j !< running index
	1369	INTEGER(iwp) :: k !< running index
[2232]	1370	INTEGER(iwp) :: k_wall !< vertical index of topography top
[1721]	1371	INTEGER(iwp) :: kk !< running index for flat lad arrays
[138]	1372
[1682]	1373	REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d)
	1374	REAL(wp) :: lad_local !< local lad value
	1375	REAL(wp) :: pre_tend !< preliminary tendency
	1376	REAL(wp) :: pre_u !< preliminary u-value
	1377	REAL(wp) :: pre_v !< preliminary v-value
	1378	REAL(wp) :: pre_w !< preliminary w-value
[1484]	1379
	1380
	1381	ddt_3d = 1.0_wp / dt_3d
	1382
[138]	1383	!
[1484]	1384	!-- Compute drag for the three velocity components and the SGS-TKE
[142]	1385	SELECT CASE ( component )
[138]	1386
	1387	!
[142]	1388	!-- u-component
[1484]	1389	CASE ( 1 )
[2232]	1390	!
	1391	!-- Determine topography-top index on u-grid
	1392	k_wall = MAXLOC( &
	1393	MERGE( 1, 0, &
	1394	BTEST( wall_flags_0(nzb:nzb_max,j,i), 14 ) &
	1395	), DIM = 1 &
	1396	) - 1
	1397	DO k = k_wall+1, k_wall+pch_index
[138]	1398
[2232]	1399	kk = k - k_wall !- lad arrays are defined flat
[138]	1400	!
[1484]	1401	!-- In order to create sharp boundaries of the plant canopy,
	1402	!-- the lad on the u-grid at index (k,j,i) is equal to lad_s(k,j,i),
	1403	!-- rather than being interpolated from the surrounding lad_s,
	1404	!-- because this would yield smaller lad at the canopy boundaries
	1405	!-- than inside of the canopy.
	1406	!-- For the same reason, the lad at the rightmost(i+1)canopy
	1407	!-- boundary on the u-grid equals lad_s(k,j,i).
[1721]	1408	lad_local = lad_s(kk,j,i)
	1409	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp ) THEN
	1410	lad_local = lad_s(kk,j,i-1)
[1484]	1411	ENDIF
	1412
	1413	pre_tend = 0.0_wp
	1414	pre_u = 0.0_wp
	1415	!
	1416	!-- Calculate preliminary value (pre_tend) of the tendency
	1417	pre_tend = - cdc * &
	1418	lad_local * &
	1419	SQRT( u(k,j,i)**2 + &
	1420	( 0.25_wp * ( v(k,j,i-1) + &
	1421	v(k,j,i) + &
	1422	v(k,j+1,i) + &
	1423	v(k,j+1,i-1) ) &
	1424	)**2 + &
	1425	( 0.25_wp * ( w(k-1,j,i-1) + &
	1426	w(k-1,j,i) + &
	1427	w(k,j,i-1) + &
	1428	w(k,j,i) ) &
	1429	)**2 &
	1430	) * &
	1431	u(k,j,i)
	1432
	1433	!
	1434	!-- Calculate preliminary new velocity, based on pre_tend
	1435	pre_u = u(k,j,i) + dt_3d * pre_tend
	1436	!
	1437	!-- Compare sign of old velocity and new preliminary velocity,
	1438	!-- and in case the signs are different, limit the tendency
	1439	IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN
	1440	pre_tend = - u(k,j,i) * ddt_3d
	1441	ELSE
	1442	pre_tend = pre_tend
	1443	ENDIF
	1444	!
	1445	!-- Calculate final tendency
	1446	tend(k,j,i) = tend(k,j,i) + pre_tend
	1447	ENDDO
	1448
	1449
	1450	!
[142]	1451	!-- v-component
[1484]	1452	CASE ( 2 )
[2232]	1453	!
	1454	!-- Determine topography-top index on v-grid
	1455	k_wall = MAXLOC( &
	1456	MERGE( 1, 0, &
	1457	BTEST( wall_flags_0(nzb:nzb_max,j,i), 16 ) &
	1458	), DIM = 1 &
	1459	) - 1
	1460	DO k = k_wall+1, k_wall+pch_index
[138]	1461
[2232]	1462	kk = k - k_wall !- lad arrays are defined flat
[138]	1463	!
[1484]	1464	!-- In order to create sharp boundaries of the plant canopy,
	1465	!-- the lad on the v-grid at index (k,j,i) is equal to lad_s(k,j,i),
	1466	!-- rather than being interpolated from the surrounding lad_s,
	1467	!-- because this would yield smaller lad at the canopy boundaries
	1468	!-- than inside of the canopy.
	1469	!-- For the same reason, the lad at the northmost(j+1)canopy
	1470	!-- boundary on the v-grid equals lad_s(k,j,i).
[1721]	1471	lad_local = lad_s(kk,j,i)
	1472	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp ) THEN
	1473	lad_local = lad_s(kk,j-1,i)
[1484]	1474	ENDIF
	1475
	1476	pre_tend = 0.0_wp
	1477	pre_v = 0.0_wp
	1478	!
	1479	!-- Calculate preliminary value (pre_tend) of the tendency
	1480	pre_tend = - cdc * &
	1481	lad_local * &
	1482	SQRT( ( 0.25_wp * ( u(k,j-1,i) + &
	1483	u(k,j-1,i+1) + &
	1484	u(k,j,i) + &
	1485	u(k,j,i+1) ) &
	1486	)**2 + &
	1487	v(k,j,i)**2 + &
	1488	( 0.25_wp * ( w(k-1,j-1,i) + &
	1489	w(k-1,j,i) + &
	1490	w(k,j-1,i) + &
	1491	w(k,j,i) ) &
	1492	)**2 &
	1493	) * &
	1494	v(k,j,i)
	1495
	1496	!
	1497	!-- Calculate preliminary new velocity, based on pre_tend
	1498	pre_v = v(k,j,i) + dt_3d * pre_tend
	1499	!
	1500	!-- Compare sign of old velocity and new preliminary velocity,
	1501	!-- and in case the signs are different, limit the tendency
	1502	IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN
	1503	pre_tend = - v(k,j,i) * ddt_3d
	1504	ELSE
	1505	pre_tend = pre_tend
	1506	ENDIF
	1507	!
	1508	!-- Calculate final tendency
	1509	tend(k,j,i) = tend(k,j,i) + pre_tend
	1510	ENDDO
	1511
	1512
	1513	!
[142]	1514	!-- w-component
[1484]	1515	CASE ( 3 )
[2232]	1516	!
	1517	!-- Determine topography-top index on w-grid
	1518	k_wall = MAXLOC( &
	1519	MERGE( 1, 0, &
	1520	BTEST( wall_flags_0(nzb:nzb_max,j,i), 18 ) &
	1521	), DIM = 1 &
	1522	) - 1
	1523	DO k = k_wall+1, k_wall+pch_index-1
[138]	1524
[2232]	1525	kk = k - k_wall !- lad arrays are defined flat
[1721]	1526
[1484]	1527	pre_tend = 0.0_wp
	1528	pre_w = 0.0_wp
[138]	1529	!
[1484]	1530	!-- Calculate preliminary value (pre_tend) of the tendency
	1531	pre_tend = - cdc * &
	1532	(0.5_wp * &
[1721]	1533	( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * &
[1484]	1534	SQRT( ( 0.25_wp * ( u(k,j,i) + &
	1535	u(k,j,i+1) + &
	1536	u(k+1,j,i) + &
	1537	u(k+1,j,i+1) ) &
	1538	)**2 + &
	1539	( 0.25_wp * ( v(k,j,i) + &
	1540	v(k,j+1,i) + &
	1541	v(k+1,j,i) + &
	1542	v(k+1,j+1,i) ) &
	1543	)**2 + &
	1544	w(k,j,i)**2 &
	1545	) * &
	1546	w(k,j,i)
	1547	!
	1548	!-- Calculate preliminary new velocity, based on pre_tend
	1549	pre_w = w(k,j,i) + dt_3d * pre_tend
	1550	!
	1551	!-- Compare sign of old velocity and new preliminary velocity,
	1552	!-- and in case the signs are different, limit the tendency
	1553	IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN
	1554	pre_tend = - w(k,j,i) * ddt_3d
	1555	ELSE
	1556	pre_tend = pre_tend
	1557	ENDIF
	1558	!
	1559	!-- Calculate final tendency
	1560	tend(k,j,i) = tend(k,j,i) + pre_tend
	1561	ENDDO
	1562
	1563	!
[153]	1564	!-- potential temperature
	1565	CASE ( 4 )
[2232]	1566	!
	1567	!-- Determine topography-top index on scalar grid
	1568	k_wall = MAXLOC( &
	1569	MERGE( 1, 0, &
	1570	BTEST( wall_flags_0(nzb:nzb_max,j,i), 12 ) &
	1571	), DIM = 1 &
	1572	) - 1
	1573	DO k = k_wall+1, k_wall+pch_index
	1574	kk = k - k_wall !- lad arrays are defined flat
[2011]	1575	tend(k,j,i) = tend(k,j,i) + pc_heating_rate(kk,j,i)
[153]	1576	ENDDO
	1577
	1578
	1579	!
[1960]	1580	!-- humidity
[153]	1581	CASE ( 5 )
[2232]	1582	!
	1583	!-- Determine topography-top index on scalar grid
	1584	k_wall = MAXLOC( &
	1585	MERGE( 1, 0, &
	1586	BTEST( wall_flags_0(nzb:nzb_max,j,i), 12 ) &
	1587	), DIM = 1 &
	1588	) - 1
	1589	DO k = k_wall+1, k_wall+pch_index
	1590
	1591	kk = k - k_wall
[1484]	1592	tend(k,j,i) = tend(k,j,i) - &
	1593	lsec * &
[1721]	1594	lad_s(kk,j,i) * &
[1484]	1595	SQRT( ( 0.5_wp * ( u(k,j,i) + &
	1596	u(k,j,i+1) ) &
	1597	)**2 + &
	1598	( 0.5_wp * ( v(k,j,i) + &
	1599	v(k,j+1,i) ) &
	1600	)**2 + &
	1601	( 0.5_wp * ( w(k-1,j,i) + &
	1602	w(k,j,i) ) &
	1603	)**2 &
	1604	) * &
	1605	( q(k,j,i) - lsc )
[153]	1606	ENDDO
	1607
	1608	!
[142]	1609	!-- sgs-tke
[1484]	1610	CASE ( 6 )
[2232]	1611	!
	1612	!-- Determine topography-top index on scalar grid
	1613	k_wall = MAXLOC( &
	1614	MERGE( 1, 0, &
	1615	BTEST( wall_flags_0(nzb:nzb_max,j,i), 12 ) &
	1616	), DIM = 1 &
	1617	) - 1
	1618	DO k = k_wall+1, k_wall+pch_index
	1619
	1620	kk = k - k_wall
[1484]	1621	tend(k,j,i) = tend(k,j,i) - &
	1622	2.0_wp * cdc * &
[1721]	1623	lad_s(kk,j,i) * &
[1484]	1624	SQRT( ( 0.5_wp * ( u(k,j,i) + &
	1625	u(k,j,i+1) ) &
	1626	)**2 + &
	1627	( 0.5_wp * ( v(k,j,i) + &
	1628	v(k,j+1,i) ) &
	1629	)**2 + &
	1630	( 0.5_wp * ( w(k,j,i) + &
	1631	w(k+1,j,i) ) &
	1632	)**2 &
	1633	) * &
	1634	e(k,j,i)
	1635	ENDDO
[1960]	1636
	1637	!
	1638	!-- scalar concentration
	1639	CASE ( 7 )
[2232]	1640	!
	1641	!-- Determine topography-top index on scalar grid
	1642	k_wall = MAXLOC( &
	1643	MERGE( 1, 0, &
	1644	BTEST( wall_flags_0(nzb:nzb_max,j,i), 12 ) &
	1645	), DIM = 1 &
	1646	) - 1
	1647	DO k = k_wall+1, k_wall+pch_index
	1648
	1649	kk = k - k_wall
[1960]	1650	tend(k,j,i) = tend(k,j,i) - &
	1651	lsec * &
	1652	lad_s(kk,j,i) * &
	1653	SQRT( ( 0.5_wp * ( u(k,j,i) + &
	1654	u(k,j,i+1) ) &
	1655	)**2 + &
	1656	( 0.5_wp * ( v(k,j,i) + &
	1657	v(k,j+1,i) ) &
	1658	)**2 + &
	1659	( 0.5_wp * ( w(k-1,j,i) + &
	1660	w(k,j,i) ) &
	1661	)**2 &
	1662	) * &
	1663	( s(k,j,i) - lsc )
	1664	ENDDO
[138]	1665
[142]	1666	CASE DEFAULT
[138]	1667
[257]	1668	WRITE( message_string, * ) 'wrong component: ', component
[1826]	1669	CALL message( 'pcm_tendency', 'PA0279', 1, 2, 0, 6, 0 )
[138]	1670
[142]	1671	END SELECT
[138]	1672
[1826]	1673	END SUBROUTINE pcm_tendency_ij
[138]	1674
[2007]	1675
	1676
[138]	1677	END MODULE plant_canopy_model_mod

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