Home

Context Navigation

source: palm/trunk/SOURCE/plant_canopy_model_mod.f90 @ 4283

Last change on this file since 4283 was 4279, checked in by scharf, 5 years ago
unused variables removed
Property svn:keywords set to `Id`
File size: 90.7 KB

Rev	Line
[1826]	1	!> @file plant_canopy_model_mod.f90
[2000]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1036]	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	!
[3655]	17	! Copyright 1997-2019 Leibniz Universitaet Hannover
[3885]	18	! Copyright 2017-2019 Institute of Computer Science of the
	19	! Czech Academy of Sciences, Prague
[2000]	20	!------------------------------------------------------------------------------!
[1036]	21	!
[257]	22	! Current revisions:
[2977]	23	! ------------------
[2214]	24	!
[4226]	25	!
[2214]	26	! Former revisions:
	27	! -----------------
	28	! $Id: plant_canopy_model_mod.f90 4279 2019-10-29 08:48:17Z resler $
[4279]	29	! unused variables removed
	30	!
	31	! 4258 2019-10-07 13:29:08Z scharf
[4278]	32	! changed check for static driver and fixed bugs in initialization and header
	33	!
	34	! 4258 2019-10-07 13:29:08Z suehring
[4258]	35	! Check if any LAD is prescribed when plant-canopy model is applied.
	36	!
	37	! 4226 2019-09-10 17:03:24Z suehring
[4226]	38	! Bugfix, missing initialization of heating rate
	39	!
	40	! 4221 2019-09-09 08:50:35Z suehring
[4220]	41	! Further bugfix in 3d data output for plant canopy
	42	!
	43	! 4216 2019-09-04 09:09:03Z suehring
[4216]	44	! Bugfixes in 3d data output
	45	!
	46	! 4205 2019-08-30 13:25:00Z suehring
[4205]	47	! Missing working precision + bugfix in calculation of wind speed
	48	!
	49	! 4188 2019-08-26 14:15:47Z suehring
[4188]	50	! Minor adjustment in error number
	51	!
	52	! 4187 2019-08-26 12:43:15Z suehring
[4187]	53	! Give specific error numbers instead of PA0999
	54	!
	55	! 4182 2019-08-22 15:20:23Z scharf
[4182]	56	! Corrected "Former revisions" section
	57	!
	58	! 4168 2019-08-16 13:50:17Z suehring
[4168]	59	! Replace function get_topography_top_index by topo_top_ind
	60	!
	61	! 4127 2019-07-30 14:47:10Z suehring
[4127]	62	! Output of 3D plant canopy variables changed. It is now relative to the local
	63	! terrain rather than located at the acutal vertical level in the model. This
	64	! way, the vertical dimension of the output can be significantly reduced.
	65	! (merge from branch resler)
	66	!
	67	! 3885 2019-04-11 11:29:34Z kanani
[3885]	68	! Changes related to global restructuring of location messages and introduction
	69	! of additional debug messages
	70	!
	71	! 3864 2019-04-05 09:01:56Z monakurppa
[3761]	72	! unsed variables removed
	73	!
	74	! 3745 2019-02-15 18:57:56Z suehring
[3745]	75	! Bugfix in transpiration, floating invalid when temperature
	76	! becomes > 40 degrees
	77	!
	78	! 3744 2019-02-15 18:38:58Z suehring
[3685]	79	! Some interface calls moved to module_interface + cleanup
	80	!
	81	! 3655 2019-01-07 16:51:22Z knoop
[3614]	82	! unused variables removed
[3498]	83	!
[4182]	84	! 138 2007-11-28 10:03:58Z letzel
	85	! Initial revision
	86	!
[138]	87	! Description:
	88	! ------------
[1682]	89	!> 1) Initialization of the canopy model, e.g. construction of leaf area density
[1826]	90	!> profile (subroutine pcm_init).
[1682]	91	!> 2) Calculation of sinks and sources of momentum, heat and scalar concentration
[1826]	92	!> due to canopy elements (subroutine pcm_tendency).
[3744]	93	!
	94	! @todo - precalculate constant terms in pcm_calc_transpiration_rate
[4216]	95	! @todo - unify variable names (pcm_, pc_, ...)
[138]	96	!------------------------------------------------------------------------------!
[1682]	97	MODULE plant_canopy_model_mod
	98
[1484]	99	USE arrays_3d, &
[3449]	100	ONLY: dzu, dzw, e, exner, hyp, pt, q, s, tend, u, v, w, zu, zw
[138]	101
[3449]	102	USE basic_constants_and_equations_mod, &
	103	ONLY: c_p, degc_to_k, l_v, lv_d_cp, r_d, rd_d_rv
	104
[3885]	105	USE control_parameters, &
	106	ONLY: debug_output, humidity
[3449]	107
[1484]	108	USE indices, &
	109	ONLY: nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, &
[4168]	110	nz, nzb, nzt, topo_top_ind
[1484]	111
	112	USE kinds
	113
[3449]	114	USE pegrid
	115
[1484]	116
	117	IMPLICIT NONE
	118
	119
[3449]	120	CHARACTER (LEN=30) :: canopy_mode = 'block' !< canopy coverage
	121	LOGICAL :: plant_canopy_transpiration = .FALSE. !< flag to switch calculation of transpiration and corresponding latent heat
	122	!< for resolved plant canopy inside radiation model
	123	!< (calls subroutine pcm_calc_transpiration_rate from module plant_canopy_mod)
[1484]	124
[3449]	125	INTEGER(iwp) :: pch_index = 0 !< plant canopy height/top index
	126	INTEGER(iwp) :: lad_vertical_gradient_level_ind(10) = -9999 !< lad-profile levels (index)
[1484]	127
[3449]	128	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: pch_index_ji !< local plant canopy top
[2696]	129
[3449]	130	LOGICAL :: calc_beta_lad_profile = .FALSE. !< switch for calc. of lad from beta func.
[1484]	131
[2696]	132	REAL(wp) :: alpha_lad = 9999999.9_wp !< coefficient for lad calculation
	133	REAL(wp) :: beta_lad = 9999999.9_wp !< coefficient for lad calculation
	134	REAL(wp) :: canopy_drag_coeff = 0.0_wp !< canopy drag coefficient (parameter)
	135	REAL(wp) :: cdc = 0.0_wp !< canopy drag coeff. (abbreviation used in equations)
	136	REAL(wp) :: cthf = 0.0_wp !< canopy top heat flux
	137	REAL(wp) :: dt_plant_canopy = 0.0_wp !< timestep account. for canopy drag
	138	REAL(wp) :: ext_coef = 0.6_wp !< extinction coefficient
	139	REAL(wp) :: lad_surface = 0.0_wp !< lad surface value
	140	REAL(wp) :: lai_beta = 0.0_wp !< leaf area index (lai) for lad calc.
	141	REAL(wp) :: leaf_scalar_exch_coeff = 0.0_wp !< canopy scalar exchange coeff.
	142	REAL(wp) :: leaf_surface_conc = 0.0_wp !< leaf surface concentration
[2768]	143	REAL(wp) :: lsc = 0.0_wp !< leaf surface concentration
[2696]	144	REAL(wp) :: lsec = 0.0_wp !< leaf scalar exchange coeff.
[1484]	145
[2696]	146	REAL(wp) :: lad_vertical_gradient(10) = 0.0_wp !< lad gradient
	147	REAL(wp) :: lad_vertical_gradient_level(10) = -9999999.9_wp !< lad-prof. levels (in m)
[1484]	148
[2977]	149	REAL(wp) :: lad_type_coef(0:10) = 1.0_wp !< multiplicative coeficients for particular types
	150	!< of plant canopy (e.g. deciduous tree during winter)
	151
[1682]	152	REAL(wp), DIMENSION(:), ALLOCATABLE :: lad !< leaf area density
	153	REAL(wp), DIMENSION(:), ALLOCATABLE :: pre_lad !< preliminary lad
[1484]	154
[4127]	155	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: cum_lai_hf !< cumulative lai for heatflux calc.
	156	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: lad_s !< lad on scalar-grid
	157	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pc_heating_rate !< plant canopy heating rate
	158	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pc_transpiration_rate !< plant canopy transpiration rate
	159	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pc_latent_rate !< plant canopy latent heating rate
[1484]	160
[4127]	161	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_heatrate_av !< array for averaging plant canopy sensible heating rate
	162	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_latentrate_av !< array for averaging plant canopy latent heating rate
	163	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_transpirationrate_av !< array for averaging plant canopy transpiration rate
	164
[1484]	165	SAVE
	166
	167
[138]	168	PRIVATE
[1826]	169
	170	!
	171	!-- Public functions
[3449]	172	PUBLIC pcm_calc_transpiration_rate, pcm_check_data_output, &
[4127]	173	pcm_check_parameters, pcm_3d_data_averaging, &
	174	pcm_data_output_3d, pcm_define_netcdf_grid, &
[3449]	175	pcm_header, pcm_init, pcm_parin, pcm_tendency
[138]	176
[1826]	177	!
	178	!-- Public variables and constants
[3467]	179	PUBLIC cdc, pc_heating_rate, pc_transpiration_rate, pc_latent_rate, &
	180	canopy_mode, cthf, dt_plant_canopy, lad, lad_s, pch_index, &
	181	plant_canopy_transpiration
[1484]	182
[3449]	183	INTERFACE pcm_calc_transpiration_rate
	184	MODULE PROCEDURE pcm_calc_transpiration_rate
	185	END INTERFACE pcm_calc_transpiration_rate
	186
[2209]	187	INTERFACE pcm_check_data_output
	188	MODULE PROCEDURE pcm_check_data_output
	189	END INTERFACE pcm_check_data_output
	190
[1826]	191	INTERFACE pcm_check_parameters
	192	MODULE PROCEDURE pcm_check_parameters
[2209]	193	END INTERFACE pcm_check_parameters
	194
[4127]	195	INTERFACE pcm_3d_data_averaging
	196	MODULE PROCEDURE pcm_3d_data_averaging
	197	END INTERFACE pcm_3d_data_averaging
	198
[2209]	199	INTERFACE pcm_data_output_3d
	200	MODULE PROCEDURE pcm_data_output_3d
	201	END INTERFACE pcm_data_output_3d
	202
	203	INTERFACE pcm_define_netcdf_grid
	204	MODULE PROCEDURE pcm_define_netcdf_grid
	205	END INTERFACE pcm_define_netcdf_grid
[1826]	206
	207	INTERFACE pcm_header
	208	MODULE PROCEDURE pcm_header
	209	END INTERFACE pcm_header
	210
	211	INTERFACE pcm_init
	212	MODULE PROCEDURE pcm_init
	213	END INTERFACE pcm_init
[138]	214
[1826]	215	INTERFACE pcm_parin
	216	MODULE PROCEDURE pcm_parin
[2007]	217	END INTERFACE pcm_parin
	218
	219	INTERFACE pcm_read_plant_canopy_3d
	220	MODULE PROCEDURE pcm_read_plant_canopy_3d
	221	END INTERFACE pcm_read_plant_canopy_3d
[1826]	222
	223	INTERFACE pcm_tendency
	224	MODULE PROCEDURE pcm_tendency
	225	MODULE PROCEDURE pcm_tendency_ij
	226	END INTERFACE pcm_tendency
[1484]	227
	228
[138]	229	CONTAINS
	230
[2209]	231
[3449]	232
[2209]	233	!------------------------------------------------------------------------------!
	234	! Description:
	235	! ------------
[3449]	236	!> Calculation of the plant canopy transpiration rate based on the Jarvis-Stewart
	237	!> with parametrizations described in Daudet et al. (1999; Agricult. and Forest
	238	!> Meteorol. 97) and Ngao, Adam and Saudreau (2017; Agricult. and Forest Meteorol
	239	!> 237-238). Model functions f1-f4 were adapted from Stewart (1998; Agric.
	240	!> and Forest. Meteorol. 43) instead, because they are valid for broader intervals
	241	!> of values. Funcion f4 used in form present in van Wijk et al. (1998;
	242	!> Tree Physiology 20).
	243	!>
	244	!> This subroutine is called from subroutine radiation_interaction
	245	!> after the calculation of radiation in plant canopy boxes.
	246	!> (arrays pcbinsw and pcbinlw).
	247	!>
	248	!------------------------------------------------------------------------------!
	249	SUBROUTINE pcm_calc_transpiration_rate(i, j, k, kk, pcbsw, pcblw, pcbtr, pcblh)
	250
	251	USE control_parameters, &
	252	ONLY: dz
	253
	254	USE grid_variables, &
	255	ONLY: dx, dy
	256
	257	IMPLICIT NONE
	258	!-- input parameters
[4205]	259	INTEGER(iwp), INTENT(IN) :: i, j, k, kk !< indices of the pc gridbox
	260	REAL(wp), INTENT(IN) :: pcbsw !< sw radiation in gridbox (W)
	261	REAL(wp), INTENT(IN) :: pcblw !< lw radiation in gridbox (W)
	262	REAL(wp), INTENT(OUT) :: pcbtr !< transpiration rate dq/dt (kg/kg/s)
	263	REAL(wp), INTENT(OUT) :: pcblh !< latent heat from transpiration dT/dt (K/s)
[3449]	264
	265	!-- variables and parameters for calculation of transpiration rate
[4205]	266	REAL(wp) :: sat_press, sat_press_d, temp, v_lad
	267	REAL(wp) :: d_fact, g_b, g_s, wind_speed, evapor_rate
	268	REAL(wp) :: f1, f2, f3, f4, vpd, rswc, e_eq, e_imp, rad
	269	REAL(wp), PARAMETER :: gama_psychr = 66.0_wp !< psychrometric constant (Pa/K)
	270	REAL(wp), PARAMETER :: g_s_max = 0.01 !< maximum stomatal conductivity (m/s)
	271	REAL(wp), PARAMETER :: m_soil = 0.4_wp !< soil water content (needs to adjust or take from LSM)
	272	REAL(wp), PARAMETER :: m_wilt = 0.01_wp !< wilting point soil water content (needs to adjust or take from LSM)
	273	REAL(wp), PARAMETER :: m_sat = 0.51_wp !< saturation soil water content (needs to adjust or take from LSM)
	274	REAL(wp), PARAMETER :: t2_min = 0.0_wp !< minimal temperature for calculation of f2
	275	REAL(wp), PARAMETER :: t2_max = 40.0_wp !< maximal temperature for calculation of f2
[3449]	276
	277
	278	!-- Temperature (deg C)
	279	temp = pt(k,j,i) * exner(k) - degc_to_k
	280	!-- Coefficient for conversion of radiation to grid to radiation to unit leaves surface
[4205]	281	v_lad = 1.0_wp / ( MAX( lad_s(kk,j,i), 1.0E-10_wp ) * dx * dy * dz(1) )
[3449]	282	!-- Magnus formula for the saturation pressure (see Ngao, Adam and Saudreau (2017) eq. 1)
	283	!-- There are updated formulas available, kept consistent with the rest of the parametrization
	284	sat_press = 610.8_wp * exp(17.27_wp * temp/(temp + 237.3_wp))
	285	!-- Saturation pressure derivative (derivative of the above)
	286	sat_press_d = sat_press * 17.27_wp * 237.3_wp / (temp + 237.3_wp)**2
	287	!-- Wind speed
[3744]	288	wind_speed = SQRT( ( 0.5_wp * ( u(k,j,i) + u(k,j,i+1) ) )**2 + &
[4205]	289	( 0.5_wp * ( v(k,j,i) + v(k,j+1,i) ) )**2 + &
	290	( 0.5_wp * ( w(k,j,i) + w(k-1,j,i) ) )**2 )
[3449]	291	!-- Aerodynamic conductivity (Daudet et al. (1999) eq. 14
	292	g_b = 0.01_wp * wind_speed + 0.0071_wp
	293	!-- Radiation flux per leaf surface unit
	294	rad = pcbsw * v_lad
	295	!-- First function for calculation of stomatal conductivity (radiation dependency)
	296	!-- Stewart (1988; Agric. and Forest. Meteorol. 43) eq. 17
[4205]	297	f1 = rad * (1000.0_wp+42.1_wp) / 1000.0_wp / (rad+42.1_wp)
[3449]	298	!-- Second function for calculation of stomatal conductivity (temperature dependency)
	299	!-- Stewart (1988; Agric. and Forest. Meteorol. 43) eq. 21
[3744]	300	f2 = MAX(t2_min, (temp-t2_min) * MAX(0.0_wp,t2_max-temp)**((t2_max-16.9_wp)/(16.9_wp-t2_min)) / &
[3449]	301	((16.9_wp-t2_min) * (t2_max-16.9_wp)**((t2_max-16.9_wp)/(16.9_wp-t2_min))) )
	302	!-- Water pressure deficit
	303	!-- Ngao, Adam and Saudreau (2017) eq. 6 but with water vapour partial pressure
	304	vpd = max( sat_press - q(k,j,i) * hyp(k) / rd_d_rv, 0._wp )
	305	!-- Third function for calculation of stomatal conductivity (water pressure deficit dependency)
	306	!-- Ngao, Adam and Saudreau (2017) Table 1, limited from below according to Stewart (1988)
	307	!-- The coefficients of the linear dependence should better correspond to broad-leaved trees
	308	!-- than the coefficients from Stewart (1988) which correspond to conifer trees.
	309	vpd = MIN(MAX(vpd,770.0_wp),3820.0_wp)
[4205]	310	f3 = -2E-4_wp * vpd + 1.154_wp
[3449]	311	!-- Fourth function for calculation of stomatal conductivity (soil moisture dependency)
	312	!-- Residual soil water content
	313	!-- van Wijk et al. (1998; Tree Physiology 20) eq. 7
	314	!-- TODO - over LSM surface might be calculated from LSM parameters
	315	rswc = ( m_sat - m_soil ) / ( m_sat - m_wilt )
	316	!-- van Wijk et al. (1998; Tree Physiology 20) eq. 5-6 (it is a reformulation of eq. 22-23 of Stewart(1988))
[4205]	317	f4 = MAX(0.0_wp, MIN(1.0_wp - 0.041_wp * EXP(3.2_wp * rswc), 1.0_wp - 0.041_wp))
[3449]	318	!-- Stomatal conductivity
	319	!-- Stewart (1988; Agric. and Forest. Meteorol. 43) eq. 12
	320	!-- (notation according to Ngao, Adam and Saudreau (2017) and others)
[4205]	321	g_s = g_s_max * f1 * f2 * f3 * f4 + 1.0E-10_wp
[3449]	322	!-- Decoupling factor
	323	!-- Daudet et al. (1999) eq. 6
[4205]	324	d_fact = (sat_press_d / gama_psychr + 2.0_wp ) / &
	325	(sat_press_d / gama_psychr + 2.0_wp + 2.0_wp * g_b / g_s )
[3449]	326	!-- Equilibrium evaporation rate
	327	!-- Daudet et al. (1999) eq. 4
	328	e_eq = (pcbsw + pcblw) * v_lad * sat_press_d / &
	329	gama_psychr /( sat_press_d / gama_psychr + 2.0_wp ) / l_v
	330	!-- Imposed evaporation rate
	331	!-- Daudet et al. (1999) eq. 5
	332	e_imp = r_d * pt(k,j,i) * exner(k) / hyp(k) * c_p * g_s * vpd / gama_psychr / l_v
	333	!-- Evaporation rate
	334	!-- Daudet et al. (1999) eq. 3
	335	!-- (evaporation rate is limited to non-negative values)
	336	evapor_rate = MAX(d_fact * e_eq + ( 1.0_wp - d_fact ) * e_imp, 0.0_wp)
	337	!-- Conversion of evaporation rate to q tendency in gridbox
	338	!-- dq/dt = E * LAD * V_g / (rho_air * V_g)
	339	pcbtr = evapor_rate * r_d * pt(k,j,i) * exner(k) * lad_s(kk,j,i) / hyp(k) !-- = dq/dt
	340	!-- latent heat from evaporation
	341	pcblh = pcbtr * lv_d_cp !-- = - dT/dt
	342
	343	END SUBROUTINE pcm_calc_transpiration_rate
	344
	345
	346	!------------------------------------------------------------------------------!
	347	! Description:
	348	! ------------
[2209]	349	!> Check data output for plant canopy model
	350	!------------------------------------------------------------------------------!
	351	SUBROUTINE pcm_check_data_output( var, unit )
[4279]	352
[2209]	353	USE control_parameters, &
[3241]	354	ONLY: message_string, urban_surface
[2209]	355
	356	IMPLICIT NONE
	357
	358	CHARACTER (LEN=*) :: unit !<
	359	CHARACTER (LEN=*) :: var !<
	360
	361
	362	SELECT CASE ( TRIM( var ) )
	363
	364	CASE ( 'pcm_heatrate' )
[2770]	365	IF ( cthf == 0.0_wp .AND. .NOT. urban_surface ) THEN
[2768]	366	message_string = 'output of "' // TRIM( var ) // '" requi' // &
	367	'res setting of parameter cthf /= 0.0'
	368	CALL message( 'pcm_check_data_output', 'PA1000', 1, 2, 0, 6, 0 )
	369	ENDIF
[2209]	370	unit = 'K s-1'
	371
[3014]	372	CASE ( 'pcm_transpirationrate' )
	373	unit = 'kg kg-1 s-1'
	374
[3449]	375	CASE ( 'pcm_latentrate' )
	376	unit = 'K s-1'
	377
	378	CASE ( 'pcm_bowenratio' )
	379	unit = 'K s-1'
	380
[2209]	381	CASE ( 'pcm_lad' )
	382	unit = 'm2 m-3'
	383
	384
	385	CASE DEFAULT
	386	unit = 'illegal'
	387
	388	END SELECT
	389
	390
	391	END SUBROUTINE pcm_check_data_output
	392
	393
[1826]	394	!------------------------------------------------------------------------------!
	395	! Description:
	396	! ------------
	397	!> Check parameters routine for plant canopy model
	398	!------------------------------------------------------------------------------!
	399	SUBROUTINE pcm_check_parameters
[138]	400
[1826]	401	USE control_parameters, &
[4279]	402	ONLY: message_string
[2696]	403
[3274]	404	USE bulk_cloud_model_mod, &
	405	ONLY: bulk_cloud_model, microphysics_seifert
	406
[2696]	407	USE netcdf_data_input_mod, &
[4279]	408	ONLY: input_pids_static
	409
	410
[1826]	411	IMPLICIT NONE
	412
	413	IF ( canopy_drag_coeff == 0.0_wp ) THEN
	414	message_string = 'plant_canopy = .TRUE. requires a non-zero drag '// &
[3046]	415	'coefficient & given value is canopy_drag_coeff = 0.0'
[2768]	416	CALL message( 'pcm_check_parameters', 'PA0041', 1, 2, 0, 6, 0 )
[1826]	417	ENDIF
[4279]	418
[3045]	419	IF ( ( alpha_lad /= 9999999.9_wp .AND. beta_lad == 9999999.9_wp ) .OR.&
[1826]	420	beta_lad /= 9999999.9_wp .AND. alpha_lad == 9999999.9_wp ) THEN
	421	message_string = 'using the beta function for the construction ' // &
	422	'of the leaf area density profile requires ' // &
	423	'both alpha_lad and beta_lad to be /= 9999999.9'
[2768]	424	CALL message( 'pcm_check_parameters', 'PA0118', 1, 2, 0, 6, 0 )
[1826]	425	ENDIF
[4279]	426
[1826]	427	IF ( calc_beta_lad_profile .AND. lai_beta == 0.0_wp ) THEN
	428	message_string = 'using the beta function for the construction ' // &
	429	'of the leaf area density profile requires ' // &
	430	'a non-zero lai_beta, but given value is ' // &
	431	'lai_beta = 0.0'
[2768]	432	CALL message( 'pcm_check_parameters', 'PA0119', 1, 2, 0, 6, 0 )
[1826]	433	ENDIF
	434
	435	IF ( calc_beta_lad_profile .AND. lad_surface /= 0.0_wp ) THEN
[2274]	436	message_string = 'simultaneous setting of alpha_lad /= 9999999.9 '// &
	437	'combined with beta_lad /= 9999999.9 ' // &
[1826]	438	'and lad_surface /= 0.0 is not possible, ' // &
	439	'use either vertical gradients or the beta ' // &
	440	'function for the construction of the leaf area '// &
	441	'density profile'
[2768]	442	CALL message( 'pcm_check_parameters', 'PA0120', 1, 2, 0, 6, 0 )
[1826]	443	ENDIF
	444
[3274]	445	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1826]	446	message_string = 'plant_canopy = .TRUE. requires cloud_scheme /=' // &
	447	' seifert_beheng'
[2768]	448	CALL message( 'pcm_check_parameters', 'PA0360', 1, 2, 0, 6, 0 )
[1826]	449	ENDIF
[2696]	450	!
[4278]	451	!-- If canopy shall be read from file, static input file must be present
	452	IF ( TRIM( canopy_mode ) == 'read_from_file_3d' .AND. &
	453	.NOT. input_pids_static ) THEN
	454	message_string = 'canopy_mode = read_from_file_3d requires ' // &
	455	'static input file'
[4188]	456	CALL message( 'pcm_check_parameters', 'PA0672', 1, 2, 0, 6, 0 )
[2696]	457	ENDIF
[1826]	458
	459
	460	END SUBROUTINE pcm_check_parameters
	461
	462
[138]	463	!------------------------------------------------------------------------------!
[2209]	464	!
[1484]	465	! Description:
	466	! ------------
[4127]	467	!> Subroutine for averaging 3D data
[2209]	468	!------------------------------------------------------------------------------!
[4216]	469	SUBROUTINE pcm_3d_data_averaging( mode, variable )
[4127]	470
	471
	472	USE control_parameters
	473
	474	USE indices
	475
	476	USE kinds
	477
	478	IMPLICIT NONE
	479
	480	CHARACTER (LEN=*) :: mode !<
	481	CHARACTER (LEN=*) :: variable !<
	482
	483	INTEGER(iwp) :: i !<
	484	INTEGER(iwp) :: j !<
	485	INTEGER(iwp) :: k !<
	486
	487
	488	IF ( mode == 'allocate' ) THEN
	489
	490	SELECT CASE ( TRIM( variable ) )
	491
	492	CASE ( 'pcm_heatrate' )
	493	IF ( .NOT. ALLOCATED( pcm_heatrate_av ) ) THEN
	494	ALLOCATE( pcm_heatrate_av(0:pch_index,nysg:nyng,nxlg:nxrg) )
	495	ENDIF
	496	pcm_heatrate_av = 0.0_wp
	497
	498
	499	CASE ( 'pcm_latentrate' )
	500	IF ( .NOT. ALLOCATED( pcm_latentrate_av ) ) THEN
	501	ALLOCATE( pcm_latentrate_av(0:pch_index,nysg:nyng,nxlg:nxrg) )
	502	ENDIF
	503	pcm_latentrate_av = 0.0_wp
	504
	505
	506	CASE ( 'pcm_transpirationrate' )
	507	IF ( .NOT. ALLOCATED( pcm_transpirationrate_av ) ) THEN
	508	ALLOCATE( pcm_transpirationrate_av(0:pch_index,nysg:nyng,nxlg:nxrg) )
	509	ENDIF
	510	pcm_transpirationrate_av = 0.0_wp
	511
	512	CASE DEFAULT
	513	CONTINUE
	514
	515	END SELECT
	516
	517	ELSEIF ( mode == 'sum' ) THEN
	518
	519	SELECT CASE ( TRIM( variable ) )
	520
	521	CASE ( 'pcm_heatrate' )
	522	IF ( ALLOCATED( pcm_heatrate_av ) ) THEN
	523	DO i = nxl, nxr
	524	DO j = nys, nyn
	525	IF ( pch_index_ji(j,i) /= 0 ) THEN
	526	DO k = 0, pch_index_ji(j,i)
	527	pcm_heatrate_av(k,j,i) = pcm_heatrate_av(k,j,i) + pc_heating_rate(k,j,i)
	528	ENDDO
	529	ENDIF
	530	ENDDO
	531	ENDDO
	532	ENDIF
	533
	534
	535	CASE ( 'pcm_latentrate' )
	536	IF ( ALLOCATED( pcm_latentrate_av ) ) THEN
	537	DO i = nxl, nxr
	538	DO j = nys, nyn
	539	IF ( pch_index_ji(j,i) /= 0 ) THEN
	540	DO k = 0, pch_index_ji(j,i)
	541	pcm_latentrate_av(k,j,i) = pcm_latentrate_av(k,j,i) + pc_latent_rate(k,j,i)
	542	ENDDO
	543	ENDIF
	544	ENDDO
	545	ENDDO
	546	ENDIF
	547
	548
	549	CASE ( 'pcm_transpirationrate' )
	550	IF ( ALLOCATED( pcm_transpirationrate_av ) ) THEN
	551	DO i = nxl, nxr
	552	DO j = nys, nyn
	553	IF ( pch_index_ji(j,i) /= 0 ) THEN
	554	DO k = 0, pch_index_ji(j,i)
	555	pcm_transpirationrate_av(k,j,i) = pcm_transpirationrate_av(k,j,i) + pc_transpiration_rate(k,j,i)
	556	ENDDO
	557	ENDIF
	558	ENDDO
	559	ENDDO
	560	ENDIF
	561
	562	CASE DEFAULT
	563	CONTINUE
	564
	565	END SELECT
	566
	567	ELSEIF ( mode == 'average' ) THEN
	568
	569	SELECT CASE ( TRIM( variable ) )
	570
	571	CASE ( 'pcm_heatrate' )
	572	IF ( ALLOCATED( pcm_heatrate_av ) ) THEN
	573	DO i = nxlg, nxrg
	574	DO j = nysg, nyng
	575	IF ( pch_index_ji(j,i) /= 0 ) THEN
	576	DO k = 0, pch_index_ji(j,i)
	577	pcm_heatrate_av(k,j,i) = pcm_heatrate_av(k,j,i) &
	578	/ REAL( average_count_3d, KIND=wp )
	579	ENDDO
	580	ENDIF
	581	ENDDO
	582	ENDDO
	583	ENDIF
	584
	585
	586	CASE ( 'pcm_latentrate' )
	587	IF ( ALLOCATED( pcm_latentrate_av ) ) THEN
	588	DO i = nxlg, nxrg
	589	DO j = nysg, nyng
	590	IF ( pch_index_ji(j,i) /= 0 ) THEN
	591	DO k = 0, pch_index_ji(j,i)
	592	pcm_latentrate_av(k,j,i) = pcm_latentrate_av(k,j,i) &
	593	/ REAL( average_count_3d, KIND=wp )
	594	ENDDO
	595	ENDIF
	596	ENDDO
	597	ENDDO
	598	ENDIF
	599
	600
	601	CASE ( 'pcm_transpirationrate' )
	602	IF ( ALLOCATED( pcm_transpirationrate_av ) ) THEN
	603	DO i = nxlg, nxrg
	604	DO j = nysg, nyng
	605	IF ( pch_index_ji(j,i) /= 0 ) THEN
	606	DO k = 0, pch_index_ji(j,i)
	607	pcm_transpirationrate_av(k,j,i) = pcm_transpirationrate_av(k,j,i) &
	608	/ REAL( average_count_3d, KIND=wp )
	609	ENDDO
	610	ENDIF
	611	ENDDO
	612	ENDDO
	613	ENDIF
	614
	615	END SELECT
	616
	617	ENDIF
	618
[4216]	619	END SUBROUTINE pcm_3d_data_averaging
[4127]	620
	621	!------------------------------------------------------------------------------!
	622	!
	623	! Description:
	624	! ------------
	625	!> Subroutine defining 3D output variables.
	626	!> Note, 3D plant-canopy output has it's own vertical output dimension, meaning
	627	!> that 3D output is relative to the model surface now rather than at the actual
	628	!> grid point where the plant canopy is located.
	629	!------------------------------------------------------------------------------!
[3014]	630	SUBROUTINE pcm_data_output_3d( av, variable, found, local_pf, fill_value, &
	631	nzb_do, nzt_do )
	632
[2209]	633	USE indices
	634
	635	USE kinds
	636
	637
	638	IMPLICIT NONE
	639
[4216]	640	CHARACTER (LEN=*) :: variable !< treated variable
[2209]	641
[4216]	642	INTEGER(iwp) :: av !< flag indicating instantaneous or averaged data output
	643	INTEGER(iwp) :: i !< grid index x-direction
	644	INTEGER(iwp) :: j !< grid index y-direction
	645	INTEGER(iwp) :: k !< grid index z-direction
[3014]	646	INTEGER(iwp) :: nzb_do !< lower limit of the data output (usually 0)
	647	INTEGER(iwp) :: nzt_do !< vertical upper limit of the data output (usually nz_do3d)
[2209]	648
[4216]	649	LOGICAL :: found !< flag indicating if variable is found
[2209]	650
[4216]	651	REAL(wp) :: fill_value !< fill value
	652	REAL(sp), DIMENSION(nxl:nxr,nys:nyn,nzb_do:nzt_do) :: local_pf !< data output array
[2209]	653
	654
	655	found = .TRUE.
	656
[2696]	657	local_pf = REAL( fill_value, KIND = 4 )
[2209]	658
	659	SELECT CASE ( TRIM( variable ) )
[4216]	660	!
	661	!-- Note, to save memory arrays for heating are allocated from 0:pch_index.
	662	!-- Thus, output must be relative to these array indices. Further, check
	663	!-- whether the output is within the vertical output range,
[4220]	664	!-- i.e. nzb_do:nzt_do, which is necessary as local_pf is only allocated
	665	!-- for this index space. Note, plant-canopy output has a separate
	666	!-- vertical output coordinate zlad, so that output is mapped down to the
	667	!-- surface.
[4127]	668	CASE ( 'pcm_heatrate' )
	669	IF ( av == 0 ) THEN
	670	DO i = nxl, nxr
	671	DO j = nys, nyn
[4220]	672	DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do )
	673	local_pf(i,j,k) = pc_heating_rate(k,j,i)
[4216]	674	ENDDO
[4127]	675	ENDDO
	676	ENDDO
	677	ELSE
	678	DO i = nxl, nxr
	679	DO j = nys, nyn
[4220]	680	DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do )
	681	local_pf(i,j,k) = pcm_heatrate_av(k,j,i)
[4127]	682	ENDDO
	683	ENDDO
	684	ENDDO
	685	ENDIF
[3449]	686
	687	CASE ( 'pcm_latentrate' )
[4127]	688	IF ( av == 0 ) THEN
	689	DO i = nxl, nxr
	690	DO j = nys, nyn
[4220]	691	DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do )
	692	local_pf(i,j,k) = pc_latent_rate(k,j,i)
[4216]	693	ENDDO
[4127]	694	ENDDO
	695	ENDDO
	696	ELSE
	697	DO i = nxl, nxr
	698	DO j = nys, nyn
[4220]	699	DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do )
	700	local_pf(i,j,k) = pcm_latentrate_av(k,j,i)
[4127]	701	ENDDO
	702	ENDDO
	703	ENDDO
	704	ENDIF
[3449]	705
[4127]	706	CASE ( 'pcm_transpirationrate' )
	707	IF ( av == 0 ) THEN
	708	DO i = nxl, nxr
	709	DO j = nys, nyn
[4220]	710	DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do )
	711	local_pf(i,j,k) = pc_transpiration_rate(k,j,i)
[4216]	712	ENDDO
[4127]	713	ENDDO
	714	ENDDO
	715	ELSE
	716	DO i = nxl, nxr
	717	DO j = nys, nyn
[4220]	718	DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do )
	719	local_pf(i,j,k) = pcm_transpirationrate_av(k,j,i)
[4127]	720	ENDDO
	721	ENDDO
	722	ENDDO
	723	ENDIF
	724
[3449]	725	CASE ( 'pcm_bowenratio' )
[4127]	726	IF ( av == 0 ) THEN
	727	DO i = nxl, nxr
	728	DO j = nys, nyn
[4220]	729	DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do )
	730	IF ( pc_latent_rate(k,j,i) /= 0.0_wp ) THEN
	731	local_pf(i,j,k) = pc_heating_rate(k,j,i) / &
	732	pc_latent_rate(k,j,i)
[4216]	733	ENDIF
	734	ENDDO
[4127]	735	ENDDO
	736	ENDDO
[4216]	737	ELSE
	738	DO i = nxl, nxr
	739	DO j = nys, nyn
[4220]	740	DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do )
	741	IF ( pcm_latentrate_av(k,j,i) /= 0.0_wp ) THEN
	742	local_pf(i,j,k) = pcm_heatrate_av(k,j,i) / &
	743	pcm_latentrate_av(k,j,i)
[4216]	744	ENDIF
	745	ENDDO
	746	ENDDO
	747	ENDDO
[4127]	748	ENDIF
[3449]	749
[4127]	750	CASE ( 'pcm_lad' )
	751	IF ( av == 0 ) THEN
	752	DO i = nxl, nxr
	753	DO j = nys, nyn
[4220]	754	DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do )
	755	local_pf(i,j,k) = lad_s(k,j,i)
[4216]	756	ENDDO
[4127]	757	ENDDO
	758	ENDDO
	759	ENDIF
	760
[2209]	761	CASE DEFAULT
	762	found = .FALSE.
	763
	764	END SELECT
	765
	766
	767	END SUBROUTINE pcm_data_output_3d
	768
	769	!------------------------------------------------------------------------------!
	770	!
	771	! Description:
	772	! ------------
	773	!> Subroutine defining appropriate grid for netcdf variables.
	774	!> It is called from subroutine netcdf.
	775	!------------------------------------------------------------------------------!
	776	SUBROUTINE pcm_define_netcdf_grid( var, found, grid_x, grid_y, grid_z )
	777
	778	IMPLICIT NONE
	779
	780	CHARACTER (LEN=*), INTENT(IN) :: var !<
	781	LOGICAL, INTENT(OUT) :: found !<
	782	CHARACTER (LEN=*), INTENT(OUT) :: grid_x !<
	783	CHARACTER (LEN=*), INTENT(OUT) :: grid_y !<
	784	CHARACTER (LEN=*), INTENT(OUT) :: grid_z !<
	785
	786	found = .TRUE.
	787
	788	!
	789	!-- Check for the grid
	790	SELECT CASE ( TRIM( var ) )
	791
[3449]	792	CASE ( 'pcm_heatrate', 'pcm_lad', 'pcm_transpirationrate', 'pcm_latentrate', 'pcm_bowenratio')
[2209]	793	grid_x = 'x'
	794	grid_y = 'y'
[4127]	795	grid_z = 'zpc'
[2209]	796
	797	CASE DEFAULT
	798	found = .FALSE.
	799	grid_x = 'none'
	800	grid_y = 'none'
	801	grid_z = 'none'
	802	END SELECT
	803
	804	END SUBROUTINE pcm_define_netcdf_grid
	805
	806
	807	!------------------------------------------------------------------------------!
	808	! Description:
	809	! ------------
[1826]	810	!> Header output for plant canopy model
	811	!------------------------------------------------------------------------------!
	812	SUBROUTINE pcm_header ( io )
	813
	814	USE control_parameters, &
[3065]	815	ONLY: passive_scalar
[1826]	816
	817
	818	IMPLICIT NONE
	819
	820	CHARACTER (LEN=10) :: coor_chr !<
	821
	822	CHARACTER (LEN=86) :: coordinates !<
	823	CHARACTER (LEN=86) :: gradients !<
	824	CHARACTER (LEN=86) :: leaf_area_density !<
	825	CHARACTER (LEN=86) :: slices !<
	826
	827	INTEGER(iwp) :: i !<
	828	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
	829	INTEGER(iwp) :: k !<
	830
	831	REAL(wp) :: canopy_height !< canopy height (in m)
	832
[3065]	833	canopy_height = zw(pch_index)
[1826]	834
	835	WRITE ( io, 1 ) canopy_mode, canopy_height, pch_index, &
	836	canopy_drag_coeff
	837	IF ( passive_scalar ) THEN
	838	WRITE ( io, 2 ) leaf_scalar_exch_coeff, &
	839	leaf_surface_conc
	840	ENDIF
	841
	842	!
	843	!-- Heat flux at the top of vegetation
	844	WRITE ( io, 3 ) cthf
	845
	846	!
	847	!-- Leaf area density profile, calculated either from given vertical
	848	!-- gradients or from beta probability density function.
	849	IF ( .NOT. calc_beta_lad_profile ) THEN
	850
	851	!-- Building output strings, starting with surface value
	852	WRITE ( leaf_area_density, '(F7.4)' ) lad_surface
	853	gradients = '------'
	854	slices = ' 0'
	855	coordinates = ' 0.0'
[4278]	856	DO i = 1, UBOUND(lad_vertical_gradient_level_ind, DIM=1)
	857	IF ( lad_vertical_gradient_level_ind(i) /= -9999 ) THEN
[1826]	858
[4278]	859	WRITE (coor_chr,'(F7.2)') lad(lad_vertical_gradient_level_ind(i))
	860	leaf_area_density = TRIM( leaf_area_density ) // ' ' // TRIM( coor_chr )
[1826]	861
[4278]	862	WRITE (coor_chr,'(F7.2)') lad_vertical_gradient(i)
	863	gradients = TRIM( gradients ) // ' ' // TRIM( coor_chr )
[1826]	864
[4278]	865	WRITE (coor_chr,'(I7)') lad_vertical_gradient_level_ind(i)
	866	slices = TRIM( slices ) // ' ' // TRIM( coor_chr )
[1826]	867
[4278]	868	WRITE (coor_chr,'(F7.1)') lad_vertical_gradient_level(i)
	869	coordinates = TRIM( coordinates ) // ' ' // TRIM( coor_chr )
	870	ELSE
	871	EXIT
	872	ENDIF
[1826]	873	ENDDO
	874
	875	WRITE ( io, 4 ) TRIM( coordinates ), TRIM( leaf_area_density ), &
	876	TRIM( gradients ), TRIM( slices )
	877
	878	ELSE
	879
	880	WRITE ( leaf_area_density, '(F7.4)' ) lad_surface
	881	coordinates = ' 0.0'
	882
	883	DO k = 1, pch_index
	884
	885	WRITE (coor_chr,'(F7.2)') lad(k)
	886	leaf_area_density = TRIM( leaf_area_density ) // ' ' // &
	887	TRIM( coor_chr )
	888
	889	WRITE (coor_chr,'(F7.1)') zu(k)
	890	coordinates = TRIM( coordinates ) // ' ' // TRIM( coor_chr )
	891
	892	ENDDO
	893
	894	WRITE ( io, 5 ) TRIM( coordinates ), TRIM( leaf_area_density ), &
	895	alpha_lad, beta_lad, lai_beta
	896
	897	ENDIF
	898
	899	1 FORMAT (//' Vegetation canopy (drag) model:'/ &
	900	' ------------------------------'// &
	901	' Canopy mode: ', A / &
	902	' Canopy height: ',F6.2,'m (',I4,' grid points)' / &
	903	' Leaf drag coefficient: ',F6.2 /)
	904	2 FORMAT (/ ' Scalar exchange coefficient: ',F6.2 / &
	905	' Scalar concentration at leaf surfaces in kg/m**3: ',F6.2 /)
	906	3 FORMAT (' Predefined constant heatflux at the top of the vegetation: ',F6.2, &
	907	' K m/s')
	908	4 FORMAT (/ ' Characteristic levels of the leaf area density:'// &
	909	' Height: ',A,' m'/ &
	910	' Leaf area density: ',A,' m2/m3'/ &
	911	' Gradient: ',A,' m2/m4'/ &
	912	' Gridpoint: ',A)
	913	5 FORMAT (//' Characteristic levels of the leaf area density and coefficients:'&
	914	// ' Height: ',A,' m'/ &
	915	' Leaf area density: ',A,' m2/m3'/ &
	916	' Coefficient alpha: ',F6.2 / &
	917	' Coefficient beta: ',F6.2 / &
	918	' Leaf area index: ',F6.2,' m2/m2' /)
	919
	920	END SUBROUTINE pcm_header
	921
	922
	923	!------------------------------------------------------------------------------!
	924	! Description:
	925	! ------------
[1682]	926	!> Initialization of the plant canopy model
[138]	927	!------------------------------------------------------------------------------!
[1826]	928	SUBROUTINE pcm_init
[1484]	929
	930
	931	USE control_parameters, &
[3614]	932	ONLY: message_string, ocean_mode
[1484]	933
[2696]	934	USE netcdf_data_input_mod, &
	935	ONLY: leaf_area_density_f
	936
[2232]	937	USE surface_mod, &
	938	ONLY: surf_def_h, surf_lsm_h, surf_usm_h
[1484]	939
	940	IMPLICIT NONE
	941
[2007]	942	INTEGER(iwp) :: i !< running index
	943	INTEGER(iwp) :: j !< running index
	944	INTEGER(iwp) :: k !< running index
[2232]	945	INTEGER(iwp) :: m !< running index
[1484]	946
[4258]	947	REAL(wp) :: canopy_height !< canopy height for lad-profile construction
[2007]	948	REAL(wp) :: gradient !< gradient for lad-profile construction
[4258]	949	REAL(wp) :: int_bpdf !< vertical integral for lad-profile construction
	950	REAL(wp) :: lad_max !< maximum LAD value in the model domain, used to perform a check
[3241]	951
[3885]	952	IF ( debug_output ) CALL debug_message( 'pcm_init', 'start' )
[1484]	953	!
	954	!-- Allocate one-dimensional arrays for the computation of the
	955	!-- leaf area density (lad) profile
	956	ALLOCATE( lad(0:nz+1), pre_lad(0:nz+1) )
	957	lad = 0.0_wp
	958	pre_lad = 0.0_wp
	959
	960	!
[1826]	961	!-- Set flag that indicates that the lad-profile shall be calculated by using
	962	!-- a beta probability density function
	963	IF ( alpha_lad /= 9999999.9_wp .AND. beta_lad /= 9999999.9_wp ) THEN
	964	calc_beta_lad_profile = .TRUE.
	965	ENDIF
	966
	967
	968	!
[1484]	969	!-- Compute the profile of leaf area density used in the plant
	970	!-- canopy model. The profile can either be constructed from
	971	!-- prescribed vertical gradients of the leaf area density or by
	972	!-- using a beta probability density function (see e.g. Markkanen et al.,
	973	!-- 2003: Boundary-Layer Meteorology, 106, 437-459)
	974	IF ( .NOT. calc_beta_lad_profile ) THEN
	975
	976	!
	977	!-- Use vertical gradients for lad-profile construction
	978	i = 1
	979	gradient = 0.0_wp
	980
[3294]	981	IF ( .NOT. ocean_mode ) THEN
[1484]	982
	983	lad(0) = lad_surface
	984	lad_vertical_gradient_level_ind(1) = 0
	985
	986	DO k = 1, pch_index
	987	IF ( i < 11 ) THEN
	988	IF ( lad_vertical_gradient_level(i) < zu(k) .AND. &
	989	lad_vertical_gradient_level(i) >= 0.0_wp ) THEN
	990	gradient = lad_vertical_gradient(i)
	991	lad_vertical_gradient_level_ind(i) = k - 1
	992	i = i + 1
	993	ENDIF
	994	ENDIF
	995	IF ( gradient /= 0.0_wp ) THEN
	996	IF ( k /= 1 ) THEN
	997	lad(k) = lad(k-1) + dzu(k) * gradient
	998	ELSE
	999	lad(k) = lad_surface + dzu(k) * gradient
	1000	ENDIF
	1001	ELSE
	1002	lad(k) = lad(k-1)
	1003	ENDIF
	1004	ENDDO
	1005
	1006	ENDIF
	1007
	1008	!
	1009	!-- In case of no given leaf area density gradients, choose a vanishing
	1010	!-- gradient. This information is used for the HEADER and the RUN_CONTROL
	1011	!-- file.
	1012	IF ( lad_vertical_gradient_level(1) == -9999999.9_wp ) THEN
	1013	lad_vertical_gradient_level(1) = 0.0_wp
	1014	ENDIF
	1015
	1016	ELSE
	1017
	1018	!
	1019	!-- Use beta function for lad-profile construction
	1020	int_bpdf = 0.0_wp
[3065]	1021	canopy_height = zw(pch_index)
[1484]	1022
[2232]	1023	DO k = 0, pch_index
[1484]	1024	int_bpdf = int_bpdf + &
[1826]	1025	( ( ( zw(k) / canopy_height )*( alpha_lad-1.0_wp ) ) &
	1026	( ( 1.0_wp - ( zw(k) / canopy_height ) )**( &
	1027	beta_lad-1.0_wp ) ) &
	1028	* ( ( zw(k+1)-zw(k) ) / canopy_height ) )
[1484]	1029	ENDDO
	1030
	1031	!
	1032	!-- Preliminary lad profile (defined on w-grid)
[2232]	1033	DO k = 0, pch_index
[1826]	1034	pre_lad(k) = lai_beta * &
	1035	( ( ( zw(k) / canopy_height )**( alpha_lad-1.0_wp ) ) &
	1036	* ( ( 1.0_wp - ( zw(k) / canopy_height ) )**( &
	1037	beta_lad-1.0_wp ) ) / int_bpdf &
	1038	) / canopy_height
[1484]	1039	ENDDO
	1040
	1041	!
	1042	!-- Final lad profile (defined on scalar-grid level, since most prognostic
	1043	!-- quantities are defined there, hence, less interpolation is required
	1044	!-- when calculating the canopy tendencies)
	1045	lad(0) = pre_lad(0)
[2232]	1046	DO k = 1, pch_index
[1484]	1047	lad(k) = 0.5 * ( pre_lad(k-1) + pre_lad(k) )
	1048	ENDDO
	1049
	1050	ENDIF
	1051
	1052	!
[2213]	1053	!-- Allocate 3D-array for the leaf area density (lad_s).
[1484]	1054	ALLOCATE( lad_s(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	1055
	1056	!
	1057	!-- Initialize canopy parameters cdc (canopy drag coefficient),
	1058	!-- lsec (leaf scalar exchange coefficient), lsc (leaf surface concentration)
	1059	!-- with the prescribed values
	1060	cdc = canopy_drag_coeff
	1061	lsec = leaf_scalar_exch_coeff
	1062	lsc = leaf_surface_conc
	1063
	1064	!
	1065	!-- Initialization of the canopy coverage in the model domain:
	1066	!-- Setting the parameter canopy_mode = 'block' initializes a canopy, which
	1067	!-- fully covers the domain surface
	1068	SELECT CASE ( TRIM( canopy_mode ) )
	1069
	1070	CASE( 'block' )
	1071
	1072	DO i = nxlg, nxrg
	1073	DO j = nysg, nyng
	1074	lad_s(:,j,i) = lad(:)
	1075	ENDDO
	1076	ENDDO
	1077
[2007]	1078	CASE ( 'read_from_file_3d' )
	1079	!
[2696]	1080	!-- Initialize LAD with data from file. If LAD is given in NetCDF file,
	1081	!-- use these values, else take LAD profiles from ASCII file.
	1082	!-- Please note, in NetCDF file LAD is only given up to the maximum
	1083	!-- canopy top, indicated by leaf_area_density_f%nz.
	1084	lad_s = 0.0_wp
	1085	IF ( leaf_area_density_f%from_file ) THEN
	1086	!
	1087	!-- Set also pch_index, used to be the upper bound of the vertical
	1088	!-- loops. Therefore, use the global top of the canopy layer.
	1089	pch_index = leaf_area_density_f%nz - 1
	1090
	1091	DO i = nxl, nxr
	1092	DO j = nys, nyn
	1093	DO k = 0, leaf_area_density_f%nz - 1
[3864]	1094	IF ( leaf_area_density_f%var(k,j,i) /= &
	1095	leaf_area_density_f%fill ) &
[2696]	1096	lad_s(k,j,i) = leaf_area_density_f%var(k,j,i)
	1097	ENDDO
	1098	ENDDO
	1099	ENDDO
[4187]	1100
[2696]	1101	CALL exchange_horiz( lad_s, nbgp )
	1102	!
	1103	! ASCII file
[2007]	1104	!-- Initialize canopy parameters cdc (canopy drag coefficient),
	1105	!-- lsec (leaf scalar exchange coefficient), lsc (leaf surface concentration)
	1106	!-- from file which contains complete 3D data (separate vertical profiles for
	1107	!-- each location).
[2696]	1108	ELSE
	1109	CALL pcm_read_plant_canopy_3d
	1110	ENDIF
[2007]	1111
[1484]	1112	CASE DEFAULT
	1113	!
[2007]	1114	!-- The DEFAULT case is reached either if the parameter
	1115	!-- canopy mode contains a wrong character string or if the
	1116	!-- user has coded a special case in the user interface.
	1117	!-- There, the subroutine user_init_plant_canopy checks
	1118	!-- which of these two conditions applies.
	1119	CALL user_init_plant_canopy
[1484]	1120
	1121	END SELECT
[2696]	1122	!
[4258]	1123	!-- Check that at least one grid point has an LAD /= 0, else this may
	1124	!-- cause errors in the radiation model.
	1125	lad_max = MAXVAL( lad_s )
	1126	#if defined( __parallel )
	1127	CALL MPI_ALLREDUCE( MPI_IN_PLACE, lad_max, 1, MPI_REAL, MPI_MAX, &
	1128	comm2d, ierr)
	1129	#endif
	1130	IF ( lad_max <= 0.0_wp ) THEN
	1131	message_string = 'Plant-canopy model is switched-on but no ' // &
	1132	'plant canopy is present in the model domain.'
	1133	CALL message( 'pcm_init', 'PA0685', 1, 2, 0, 6, 0 )
	1134	ENDIF
	1135
	1136	!
[2696]	1137	!-- Initialize 2D index array indicating canopy top index.
	1138	ALLOCATE( pch_index_ji(nysg:nyng,nxlg:nxrg) )
	1139	pch_index_ji = 0
[4187]	1140
[2696]	1141	DO i = nxl, nxr
	1142	DO j = nys, nyn
	1143	DO k = 0, pch_index
	1144	IF ( lad_s(k,j,i) /= 0 ) pch_index_ji(j,i) = k
	1145	ENDDO
[1484]	1146	!
[2696]	1147	!-- Check whether topography and local vegetation on top exceed
	1148	!-- height of the model domain.
[4168]	1149	k = topo_top_ind(j,i,0)
[2696]	1150	IF ( k + pch_index_ji(j,i) >= nzt + 1 ) THEN
	1151	message_string = 'Local vegetation height on top of ' // &
	1152	'topography exceeds height of model domain.'
[4187]	1153	CALL message( 'pcm_init', 'PA0674', 2, 2, 0, 6, 0 )
[2696]	1154	ENDIF
	1155
	1156	ENDDO
	1157	ENDDO
	1158
	1159	CALL exchange_horiz_2d_int( pch_index_ji, nys, nyn, nxl, nxr, nbgp )
[3497]	1160	!
[3449]	1161	!-- Calculate global pch_index value (index of top of plant canopy from ground)
[3497]	1162	pch_index = MAXVAL( pch_index_ji )
[4187]	1163
	1164
[3497]	1165	!
[3449]	1166	!-- Exchange pch_index from all processors
	1167	#if defined( __parallel )
[3497]	1168	CALL MPI_ALLREDUCE( MPI_IN_PLACE, pch_index, 1, MPI_INTEGER, &
	1169	MPI_MAX, comm2d, ierr)
[3449]	1170	#endif
	1171
	1172	!-- Allocation of arrays pc_heating_rate, pc_transpiration_rate and pc_latent_rate
	1173	ALLOCATE( pc_heating_rate(0:pch_index,nysg:nyng,nxlg:nxrg) )
[4221]	1174	pc_heating_rate = 0.0_wp
	1175
[3449]	1176	IF ( humidity ) THEN
	1177	ALLOCATE( pc_transpiration_rate(0:pch_index,nysg:nyng,nxlg:nxrg) )
	1178	pc_transpiration_rate = 0.0_wp
	1179	ALLOCATE( pc_latent_rate(0:pch_index,nysg:nyng,nxlg:nxrg) )
	1180	pc_latent_rate = 0.0_wp
	1181	ENDIF
[2696]	1182	!
[2011]	1183	!-- Initialization of the canopy heat source distribution due to heating
	1184	!-- of the canopy layers by incoming solar radiation, in case that a non-zero
	1185	!-- value is set for the canopy top heat flux (cthf), which equals the
	1186	!-- available net radiation at canopy top.
	1187	!-- The heat source distribution is calculated by a decaying exponential
	1188	!-- function of the downward cumulative leaf area index (cum_lai_hf),
	1189	!-- assuming that the foliage inside the plant canopy is heated by solar
	1190	!-- radiation penetrating the canopy layers according to the distribution
	1191	!-- of net radiation as suggested by Brown & Covey (1966; Agric. Meteorol. 3,
	1192	!-- 73â96). This approach has been applied e.g. by Shaw & Schumann (1992;
[2213]	1193	!-- Bound.-Layer Meteorol. 61, 47â64).
[3449]	1194	!-- When using the radiation_interactions, canopy heating (pc_heating_rate)
	1195	!-- and plant canopy transpiration (pc_transpiration_rate, pc_latent_rate)
	1196	!-- are calculated in the RTM after the calculation of radiation.
	1197	!-- We cannot use variable radiation_interactions here to determine the situation
	1198	!-- as it is assigned in init_3d_model after the call of pcm_init.
	1199	IF ( cthf /= 0.0_wp ) THEN
[2213]	1200
[3449]	1201	ALLOCATE( cum_lai_hf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1484]	1202	!
[2011]	1203	!-- Piecewise calculation of the cumulative leaf area index by vertical
[1484]	1204	!-- integration of the leaf area density
	1205	cum_lai_hf(:,:,:) = 0.0_wp
	1206	DO i = nxlg, nxrg
	1207	DO j = nysg, nyng
[2696]	1208	DO k = pch_index_ji(j,i)-1, 0, -1
	1209	IF ( k == pch_index_ji(j,i)-1 ) THEN
[1484]	1210	cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + &
	1211	( 0.5_wp * lad_s(k+1,j,i) * &
	1212	( zw(k+1) - zu(k+1) ) ) + &
	1213	( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + &
	1214	lad_s(k,j,i) ) + &
	1215	lad_s(k+1,j,i) ) * &
	1216	( zu(k+1) - zw(k) ) )
	1217	ELSE
	1218	cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + &
	1219	( 0.5_wp * ( 0.5_wp * ( lad_s(k+2,j,i) + &
	1220	lad_s(k+1,j,i) ) + &
	1221	lad_s(k+1,j,i) ) * &
	1222	( zw(k+1) - zu(k+1) ) ) + &
	1223	( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + &
	1224	lad_s(k,j,i) ) + &
	1225	lad_s(k+1,j,i) ) * &
	1226	( zu(k+1) - zw(k) ) )
	1227	ENDIF
	1228	ENDDO
	1229	ENDDO
	1230	ENDDO
	1231
[4278]	1232	!
[2232]	1233	!-- In areas with canopy the surface value of the canopy heat
	1234	!-- flux distribution overrides the surface heat flux (shf)
	1235	!-- Start with default surface type
	1236	DO m = 1, surf_def_h(0)%ns
[4278]	1237	i = surf_def_h(0)%i(m)
	1238	j = surf_def_h(0)%j(m)
[2232]	1239	k = surf_def_h(0)%k(m)
	1240	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) &
	1241	surf_def_h(0)%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) )
	1242	ENDDO
[1484]	1243	!
[2232]	1244	!-- Natural surfaces
	1245	DO m = 1, surf_lsm_h%ns
[4278]	1246	i = surf_lsm_h%i(m)
	1247	j = surf_lsm_h%j(m)
[2232]	1248	k = surf_lsm_h%k(m)
	1249	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) &
	1250	surf_lsm_h%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) )
	1251	ENDDO
	1252	!
	1253	!-- Urban surfaces
	1254	DO m = 1, surf_usm_h%ns
[4278]	1255	i = surf_usm_h%i(m)
	1256	j = surf_usm_h%j(m)
[2232]	1257	k = surf_usm_h%k(m)
	1258	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) &
	1259	surf_usm_h%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) )
	1260	ENDDO
	1261	!
	1262	!
[2011]	1263	!-- Calculation of the heating rate (K/s) within the different layers of
[2232]	1264	!-- the plant canopy. Calculation is only necessary in areas covered with
	1265	!-- canopy.
	1266	!-- Within the different canopy layers the plant-canopy heating
	1267	!-- rate (pc_heating_rate) is calculated as the vertical
	1268	!-- divergence of the canopy heat fluxes at the top and bottom
	1269	!-- of the respective layer
[1484]	1270	DO i = nxlg, nxrg
	1271	DO j = nysg, nyng
[2696]	1272	DO k = 1, pch_index_ji(j,i)
[2232]	1273	IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) THEN
[3022]	1274	pc_heating_rate(k,j,i) = cthf * &
	1275	( exp(-ext_coef*cum_lai_hf(k,j,i)) - &
[2232]	1276	exp(-ext_coef*cum_lai_hf(k-1,j,i) ) ) / dzw(k)
	1277	ENDIF
	1278	ENDDO
[1721]	1279	ENDDO
	1280	ENDDO
[1484]	1281
	1282	ENDIF
	1283
[3885]	1284	IF ( debug_output ) CALL debug_message( 'pcm_init', 'end' )
[1484]	1285
[3685]	1286
[1826]	1287	END SUBROUTINE pcm_init
[1484]	1288
	1289
[2007]	1290	!------------------------------------------------------------------------------!
	1291	! Description:
	1292	! ------------
[2932]	1293	!> Parin for &plant_canopy_parameters for plant canopy model
[2007]	1294	!------------------------------------------------------------------------------!
	1295	SUBROUTINE pcm_parin
[1484]	1296
[2746]	1297	USE control_parameters, &
[2932]	1298	ONLY: message_string, plant_canopy
[2007]	1299
	1300	IMPLICIT NONE
	1301
	1302	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	1303
[2932]	1304	NAMELIST /plant_canopy_parameters/ &
	1305	alpha_lad, beta_lad, canopy_drag_coeff, &
	1306	canopy_mode, cthf, &
[2977]	1307	lad_surface, lad_type_coef, &
[2932]	1308	lad_vertical_gradient, &
	1309	lad_vertical_gradient_level, &
	1310	lai_beta, &
	1311	leaf_scalar_exch_coeff, &
[3449]	1312	leaf_surface_conc, pch_index, &
	1313	plant_canopy_transpiration
[2932]	1314
[2007]	1315	NAMELIST /canopy_par/ alpha_lad, beta_lad, canopy_drag_coeff, &
	1316	canopy_mode, cthf, &
[2977]	1317	lad_surface, lad_type_coef, &
[2007]	1318	lad_vertical_gradient, &
	1319	lad_vertical_gradient_level, &
	1320	lai_beta, &
	1321	leaf_scalar_exch_coeff, &
[3449]	1322	leaf_surface_conc, pch_index, &
	1323	plant_canopy_transpiration
[3246]	1324
[2007]	1325	line = ' '
[3246]	1326
[2007]	1327	!
[4258]	1328	!-- Try to find plant-canopy model package
[2007]	1329	REWIND ( 11 )
	1330	line = ' '
[3248]	1331	DO WHILE ( INDEX( line, '&plant_canopy_parameters' ) == 0 )
[3246]	1332	READ ( 11, '(A)', END=12 ) line
[2007]	1333	ENDDO
	1334	BACKSPACE ( 11 )
	1335
	1336	!
	1337	!-- Read user-defined namelist
[3246]	1338	READ ( 11, plant_canopy_parameters, ERR = 10 )
[2932]	1339
	1340	!
[4258]	1341	!-- Set flag that indicates that the plant-canopy model is switched on
[2932]	1342	plant_canopy = .TRUE.
[3246]	1343
	1344	GOTO 14
	1345
	1346	10 BACKSPACE( 11 )
[3248]	1347	READ( 11 , '(A)') line
	1348	CALL parin_fail_message( 'plant_canopy_parameters', line )
[2932]	1349	!
	1350	!-- Try to find old namelist
[3246]	1351	12 REWIND ( 11 )
[2932]	1352	line = ' '
[3248]	1353	DO WHILE ( INDEX( line, '&canopy_par' ) == 0 )
[3246]	1354	READ ( 11, '(A)', END=14 ) line
[2932]	1355	ENDDO
	1356	BACKSPACE ( 11 )
	1357
	1358	!
	1359	!-- Read user-defined namelist
[3246]	1360	READ ( 11, canopy_par, ERR = 13, END = 14 )
[2007]	1361
[2932]	1362	message_string = 'namelist canopy_par is deprecated and will be ' // &
[3046]	1363	'removed in near future. Please use namelist ' // &
[2932]	1364	'plant_canopy_parameters instead'
	1365	CALL message( 'pcm_parin', 'PA0487', 0, 1, 0, 6, 0 )
[3246]	1366
[2007]	1367	!
[4258]	1368	!-- Set flag that indicates that the plant-canopy model is switched on
[2007]	1369	plant_canopy = .TRUE.
	1370
[3246]	1371	GOTO 14
[2007]	1372
[3246]	1373	13 BACKSPACE( 11 )
[3248]	1374	READ( 11 , '(A)') line
	1375	CALL parin_fail_message( 'canopy_par', line )
[3246]	1376
	1377	14 CONTINUE
	1378
	1379
[2007]	1380	END SUBROUTINE pcm_parin
	1381
	1382
	1383
[1484]	1384	!------------------------------------------------------------------------------!
	1385	! Description:
	1386	! ------------
[2007]	1387	!
	1388	!> Loads 3D plant canopy data from file. File format is as follows:
	1389	!>
	1390	!> num_levels
[2977]	1391	!> dtype,x,y,pctype,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1)
	1392	!> dtype,x,y,pctype,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1)
	1393	!> dtype,x,y,pctype,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1)
[2007]	1394	!> ...
	1395	!>
	1396	!> i.e. first line determines number of levels and further lines represent plant
	1397	!> canopy data, one line per column and variable. In each data line,
	1398	!> dtype represents variable to be set:
	1399	!>
	1400	!> dtype=1: leaf area density (lad_s)
[2213]	1401	!> dtype=2....n: some additional plant canopy input data quantity
[2007]	1402	!>
	1403	!> Zeros are added automatically above num_levels until top of domain. Any
	1404	!> non-specified (x,y) columns have zero values as default.
	1405	!------------------------------------------------------------------------------!
	1406	SUBROUTINE pcm_read_plant_canopy_3d
[2213]	1407
	1408	USE control_parameters, &
[3241]	1409	ONLY: coupling_char, message_string
[2007]	1410
[2213]	1411	USE indices, &
	1412	ONLY: nbgp
	1413
	1414	IMPLICIT NONE
[2007]	1415
[2213]	1416	INTEGER(iwp) :: dtype !< type of input data (1=lad)
[2977]	1417	INTEGER(iwp) :: pctype !< type of plant canopy (deciduous,non-deciduous,...)
[2213]	1418	INTEGER(iwp) :: i, j !< running index
	1419	INTEGER(iwp) :: nzp !< number of vertical layers of plant canopy
[3337]	1420	INTEGER(iwp) :: nzpltop !<
	1421	INTEGER(iwp) :: nzpl !<
	1422	INTEGER(iwp) :: kk !<
[2213]	1423
	1424	REAL(wp), DIMENSION(:), ALLOCATABLE :: col !< vertical column of input data
[2007]	1425
[2213]	1426	!
	1427	!-- Initialize lad_s array
	1428	lad_s = 0.0_wp
	1429
	1430	!
	1431	!-- Open and read plant canopy input data
[2977]	1432	OPEN(152, FILE='PLANT_CANOPY_DATA_3D' // TRIM( coupling_char ), &
	1433	ACCESS='SEQUENTIAL', ACTION='READ', STATUS='OLD', &
	1434	FORM='FORMATTED', ERR=515)
	1435	READ(152, *, ERR=516, END=517) nzp !< read first line = number of vertical layers
[3337]	1436	nzpltop = MIN(nzt+1, nzb+nzp-1)
	1437	nzpl = nzpltop - nzb + 1 !< no. of layers to assign
[2977]	1438	ALLOCATE( col(0:nzp-1) )
[2007]	1439
[2213]	1440	DO
[2977]	1441	READ(152, *, ERR=516, END=517) dtype, i, j, pctype, col(:)
	1442	IF ( i < nxlg .OR. i > nxrg .OR. j < nysg .OR. j > nyng ) CYCLE
	1443
	1444	SELECT CASE (dtype)
	1445	CASE( 1 ) !< leaf area density
[2213]	1446	!
[2977]	1447	!-- This is just the pure canopy layer assumed to be grounded to
	1448	!-- a flat domain surface. At locations where plant canopy sits
	1449	!-- on top of any kind of topography, the vertical plant column
	1450	!-- must be "lifted", which is done in SUBROUTINE pcm_tendency.
	1451	IF ( pctype < 0 .OR. pctype > 10 ) THEN !< incorrect plant canopy type
	1452	WRITE( message_string, * ) 'Incorrect type of plant canopy. ' // &
	1453	'Allowed values 0 <= pctype <= 10, ' // &
	1454	'but pctype is ', pctype
	1455	CALL message( 'pcm_read_plant_canopy_3d', 'PA0349', 1, 2, 0, 6, 0 )
	1456	ENDIF
[4168]	1457	kk = topo_top_ind(j,i,0)
[3337]	1458	lad_s(nzb:nzpltop-kk, j, i) = col(kk:nzpl-1)*lad_type_coef(pctype)
[2977]	1459	CASE DEFAULT
	1460	WRITE(message_string, '(a,i2,a)') &
	1461	'Unknown record type in file PLANT_CANOPY_DATA_3D: "', dtype, '"'
	1462	CALL message( 'pcm_read_plant_canopy_3d', 'PA0530', 1, 2, 0, 6, 0 )
	1463	END SELECT
[2213]	1464	ENDDO
[2007]	1465
[2213]	1466	515 message_string = 'error opening file PLANT_CANOPY_DATA_3D'
	1467	CALL message( 'pcm_read_plant_canopy_3d', 'PA0531', 1, 2, 0, 6, 0 )
[2007]	1468
[2213]	1469	516 message_string = 'error reading file PLANT_CANOPY_DATA_3D'
	1470	CALL message( 'pcm_read_plant_canopy_3d', 'PA0532', 1, 2, 0, 6, 0 )
	1471
	1472	517 CLOSE(152)
[2977]	1473	DEALLOCATE( col )
[2213]	1474
	1475	CALL exchange_horiz( lad_s, nbgp )
[2007]	1476
	1477	END SUBROUTINE pcm_read_plant_canopy_3d
	1478
	1479
	1480
	1481	!------------------------------------------------------------------------------!
	1482	! Description:
	1483	! ------------
[1682]	1484	!> Calculation of the tendency terms, accounting for the effect of the plant
	1485	!> canopy on momentum and scalar quantities.
	1486	!>
	1487	!> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0
[1826]	1488	!> (defined on scalar grid), as initialized in subroutine pcm_init.
[1682]	1489	!> The lad on the w-grid is vertically interpolated from the surrounding
	1490	!> lad_s. The upper boundary of the canopy is defined on the w-grid at
	1491	!> k = pch_index. Here, the lad is zero.
	1492	!>
	1493	!> The canopy drag must be limited (previously accounted for by calculation of
	1494	!> a limiting canopy timestep for the determination of the maximum LES timestep
	1495	!> in subroutine timestep), since it is physically impossible that the canopy
	1496	!> drag alone can locally change the sign of a velocity component. This
	1497	!> limitation is realized by calculating preliminary tendencies and velocities.
	1498	!> It is subsequently checked if the preliminary new velocity has a different
	1499	!> sign than the current velocity. If so, the tendency is limited in a way that
	1500	!> the velocity can at maximum be reduced to zero by the canopy drag.
	1501	!>
	1502	!>
	1503	!> Call for all grid points
[1484]	1504	!------------------------------------------------------------------------------!
[1826]	1505	SUBROUTINE pcm_tendency( component )
[138]	1506
	1507
[1320]	1508	USE control_parameters, &
[1484]	1509	ONLY: dt_3d, message_string
[1320]	1510
	1511	USE kinds
	1512
[138]	1513	IMPLICIT NONE
	1514
[1682]	1515	INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e)
	1516	INTEGER(iwp) :: i !< running index
	1517	INTEGER(iwp) :: j !< running index
	1518	INTEGER(iwp) :: k !< running index
[2232]	1519	INTEGER(iwp) :: k_wall !< vertical index of topography top
[1721]	1520	INTEGER(iwp) :: kk !< running index for flat lad arrays
[1484]	1521
[1682]	1522	REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d)
	1523	REAL(wp) :: lad_local !< local lad value
	1524	REAL(wp) :: pre_tend !< preliminary tendency
	1525	REAL(wp) :: pre_u !< preliminary u-value
	1526	REAL(wp) :: pre_v !< preliminary v-value
	1527	REAL(wp) :: pre_w !< preliminary w-value
[1484]	1528
	1529
	1530	ddt_3d = 1.0_wp / dt_3d
[138]	1531
	1532	!
[1484]	1533	!-- Compute drag for the three velocity components and the SGS-TKE:
[138]	1534	SELECT CASE ( component )
	1535
	1536	!
	1537	!-- u-component
	1538	CASE ( 1 )
	1539	DO i = nxlu, nxr
	1540	DO j = nys, nyn
[2232]	1541	!
	1542	!-- Determine topography-top index on u-grid
[4168]	1543	k_wall = topo_top_ind(j,i,1)
[2696]	1544	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
[1484]	1545
[2232]	1546	kk = k - k_wall !- lad arrays are defined flat
[1484]	1547	!
	1548	!-- In order to create sharp boundaries of the plant canopy,
	1549	!-- the lad on the u-grid at index (k,j,i) is equal to
	1550	!-- lad_s(k,j,i), rather than being interpolated from the
	1551	!-- surrounding lad_s, because this would yield smaller lad
	1552	!-- at the canopy boundaries than inside of the canopy.
	1553	!-- For the same reason, the lad at the rightmost(i+1)canopy
	1554	!-- boundary on the u-grid equals lad_s(k,j,i).
[1721]	1555	lad_local = lad_s(kk,j,i)
	1556	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp )&
	1557	THEN
	1558	lad_local = lad_s(kk,j,i-1)
[1484]	1559	ENDIF
	1560
	1561	pre_tend = 0.0_wp
	1562	pre_u = 0.0_wp
	1563	!
	1564	!-- Calculate preliminary value (pre_tend) of the tendency
	1565	pre_tend = - cdc * &
	1566	lad_local * &
	1567	SQRT( u(k,j,i)**2 + &
	1568	( 0.25_wp * ( v(k,j,i-1) + &
	1569	v(k,j,i) + &
	1570	v(k,j+1,i) + &
	1571	v(k,j+1,i-1) ) &
	1572	)**2 + &
	1573	( 0.25_wp * ( w(k-1,j,i-1) + &
	1574	w(k-1,j,i) + &
	1575	w(k,j,i-1) + &
	1576	w(k,j,i) ) &
	1577	)**2 &
	1578	) * &
	1579	u(k,j,i)
	1580
	1581	!
	1582	!-- Calculate preliminary new velocity, based on pre_tend
	1583	pre_u = u(k,j,i) + dt_3d * pre_tend
	1584	!
	1585	!-- Compare sign of old velocity and new preliminary velocity,
	1586	!-- and in case the signs are different, limit the tendency
	1587	IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN
	1588	pre_tend = - u(k,j,i) * ddt_3d
	1589	ELSE
	1590	pre_tend = pre_tend
	1591	ENDIF
	1592	!
	1593	!-- Calculate final tendency
	1594	tend(k,j,i) = tend(k,j,i) + pre_tend
	1595
[138]	1596	ENDDO
	1597	ENDDO
	1598	ENDDO
	1599
	1600	!
	1601	!-- v-component
	1602	CASE ( 2 )
	1603	DO i = nxl, nxr
	1604	DO j = nysv, nyn
[2232]	1605	!
	1606	!-- Determine topography-top index on v-grid
[4168]	1607	k_wall = topo_top_ind(j,i,2)
[2317]	1608
[2696]	1609	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
[1484]	1610
[2232]	1611	kk = k - k_wall !- lad arrays are defined flat
[1484]	1612	!
	1613	!-- In order to create sharp boundaries of the plant canopy,
	1614	!-- the lad on the v-grid at index (k,j,i) is equal to
	1615	!-- lad_s(k,j,i), rather than being interpolated from the
	1616	!-- surrounding lad_s, because this would yield smaller lad
	1617	!-- at the canopy boundaries than inside of the canopy.
	1618	!-- For the same reason, the lad at the northmost(j+1) canopy
	1619	!-- boundary on the v-grid equals lad_s(k,j,i).
[1721]	1620	lad_local = lad_s(kk,j,i)
	1621	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp )&
	1622	THEN
	1623	lad_local = lad_s(kk,j-1,i)
[1484]	1624	ENDIF
	1625
	1626	pre_tend = 0.0_wp
	1627	pre_v = 0.0_wp
	1628	!
	1629	!-- Calculate preliminary value (pre_tend) of the tendency
	1630	pre_tend = - cdc * &
	1631	lad_local * &
	1632	SQRT( ( 0.25_wp * ( u(k,j-1,i) + &
	1633	u(k,j-1,i+1) + &
	1634	u(k,j,i) + &
	1635	u(k,j,i+1) ) &
	1636	)**2 + &
	1637	v(k,j,i)**2 + &
	1638	( 0.25_wp * ( w(k-1,j-1,i) + &
	1639	w(k-1,j,i) + &
	1640	w(k,j-1,i) + &
	1641	w(k,j,i) ) &
	1642	)**2 &
	1643	) * &
	1644	v(k,j,i)
	1645
	1646	!
	1647	!-- Calculate preliminary new velocity, based on pre_tend
	1648	pre_v = v(k,j,i) + dt_3d * pre_tend
	1649	!
	1650	!-- Compare sign of old velocity and new preliminary velocity,
	1651	!-- and in case the signs are different, limit the tendency
	1652	IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN
	1653	pre_tend = - v(k,j,i) * ddt_3d
	1654	ELSE
	1655	pre_tend = pre_tend
	1656	ENDIF
	1657	!
	1658	!-- Calculate final tendency
	1659	tend(k,j,i) = tend(k,j,i) + pre_tend
	1660
[138]	1661	ENDDO
	1662	ENDDO
	1663	ENDDO
	1664
	1665	!
	1666	!-- w-component
	1667	CASE ( 3 )
	1668	DO i = nxl, nxr
	1669	DO j = nys, nyn
[2232]	1670	!
	1671	!-- Determine topography-top index on w-grid
[4168]	1672	k_wall = topo_top_ind(j,i,3)
[2317]	1673
[2696]	1674	DO k = k_wall+1, k_wall + pch_index_ji(j,i) - 1
[1484]	1675
[2232]	1676	kk = k - k_wall !- lad arrays are defined flat
[1721]	1677
[1484]	1678	pre_tend = 0.0_wp
	1679	pre_w = 0.0_wp
	1680	!
	1681	!-- Calculate preliminary value (pre_tend) of the tendency
	1682	pre_tend = - cdc * &
	1683	(0.5_wp * &
[1721]	1684	( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * &
[1484]	1685	SQRT( ( 0.25_wp * ( u(k,j,i) + &
	1686	u(k,j,i+1) + &
	1687	u(k+1,j,i) + &
	1688	u(k+1,j,i+1) ) &
	1689	)**2 + &
	1690	( 0.25_wp * ( v(k,j,i) + &
	1691	v(k,j+1,i) + &
	1692	v(k+1,j,i) + &
	1693	v(k+1,j+1,i) ) &
	1694	)**2 + &
	1695	w(k,j,i)**2 &
	1696	) * &
	1697	w(k,j,i)
	1698	!
	1699	!-- Calculate preliminary new velocity, based on pre_tend
	1700	pre_w = w(k,j,i) + dt_3d * pre_tend
	1701	!
	1702	!-- Compare sign of old velocity and new preliminary velocity,
	1703	!-- and in case the signs are different, limit the tendency
	1704	IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN
	1705	pre_tend = - w(k,j,i) * ddt_3d
	1706	ELSE
	1707	pre_tend = pre_tend
	1708	ENDIF
	1709	!
	1710	!-- Calculate final tendency
	1711	tend(k,j,i) = tend(k,j,i) + pre_tend
	1712
[138]	1713	ENDDO
	1714	ENDDO
	1715	ENDDO
	1716
	1717	!
[153]	1718	!-- potential temperature
[138]	1719	CASE ( 4 )
[3449]	1720	IF ( humidity ) THEN
	1721	DO i = nxl, nxr
	1722	DO j = nys, nyn
	1723	!-- Determine topography-top index on scalar-grid
[4168]	1724	k_wall = topo_top_ind(j,i,0)
[3449]	1725	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
	1726	kk = k - k_wall !- lad arrays are defined flat
	1727	tend(k,j,i) = tend(k,j,i) + pc_heating_rate(kk,j,i) - pc_latent_rate(kk,j,i)
	1728	ENDDO
[153]	1729	ENDDO
	1730	ENDDO
[3449]	1731	ELSE
	1732	DO i = nxl, nxr
	1733	DO j = nys, nyn
	1734	!-- Determine topography-top index on scalar-grid
[4168]	1735	k_wall = topo_top_ind(j,i,0)
[3449]	1736	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
	1737	kk = k - k_wall !- lad arrays are defined flat
	1738	tend(k,j,i) = tend(k,j,i) + pc_heating_rate(kk,j,i)
	1739	ENDDO
	1740	ENDDO
	1741	ENDDO
	1742	ENDIF
[153]	1743
	1744	!
[1960]	1745	!-- humidity
[153]	1746	CASE ( 5 )
	1747	DO i = nxl, nxr
	1748	DO j = nys, nyn
[2232]	1749	!
	1750	!-- Determine topography-top index on scalar-grid
[4168]	1751	k_wall = topo_top_ind(j,i,0)
[2317]	1752
[2696]	1753	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
[2232]	1754
	1755	kk = k - k_wall !- lad arrays are defined flat
[3014]	1756
[3449]	1757	IF ( .NOT. plant_canopy_transpiration ) THEN
	1758	! pc_transpiration_rate is calculated in radiation model
	1759	! in case of plant_canopy_transpiration = .T.
	1760	! to include also the dependecy to the radiation
	1761	! in the plant canopy box
[3582]	1762	pc_transpiration_rate(kk,j,i) = - lsec &
	1763	* lad_s(kk,j,i) * &
	1764	SQRT( ( 0.5_wp * ( u(k,j,i) + &
	1765	u(k,j,i+1) ) &
	1766	)**2 + &
	1767	( 0.5_wp * ( v(k,j,i) + &
	1768	v(k,j+1,i) ) &
	1769	)**2 + &
	1770	( 0.5_wp * ( w(k-1,j,i) + &
	1771	w(k,j,i) ) &
	1772	)**2 &
	1773	) * &
[3449]	1774	( q(k,j,i) - lsc )
	1775	ENDIF
	1776
[3014]	1777	tend(k,j,i) = tend(k,j,i) + pc_transpiration_rate(kk,j,i)
[153]	1778	ENDDO
	1779	ENDDO
	1780	ENDDO
	1781
	1782	!
	1783	!-- sgs-tke
	1784	CASE ( 6 )
	1785	DO i = nxl, nxr
	1786	DO j = nys, nyn
[2232]	1787	!
	1788	!-- Determine topography-top index on scalar-grid
[4168]	1789	k_wall = topo_top_ind(j,i,0)
[2317]	1790
[2696]	1791	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
[2232]	1792
	1793	kk = k - k_wall !- lad arrays are defined flat
[1484]	1794	tend(k,j,i) = tend(k,j,i) - &
	1795	2.0_wp * cdc * &
[1721]	1796	lad_s(kk,j,i) * &
[1484]	1797	SQRT( ( 0.5_wp * ( u(k,j,i) + &
	1798	u(k,j,i+1) ) &
	1799	)**2 + &
	1800	( 0.5_wp * ( v(k,j,i) + &
	1801	v(k,j+1,i) ) &
	1802	)**2 + &
	1803	( 0.5_wp * ( w(k,j,i) + &
	1804	w(k+1,j,i) ) &
	1805	)**2 &
	1806	) * &
	1807	e(k,j,i)
[138]	1808	ENDDO
	1809	ENDDO
	1810	ENDDO
[1960]	1811	!
	1812	!-- scalar concentration
	1813	CASE ( 7 )
	1814	DO i = nxl, nxr
	1815	DO j = nys, nyn
[2232]	1816	!
	1817	!-- Determine topography-top index on scalar-grid
[4168]	1818	k_wall = topo_top_ind(j,i,0)
[2317]	1819
[2696]	1820	DO k = k_wall+1, k_wall + pch_index_ji(j,i)
[2232]	1821
	1822	kk = k - k_wall !- lad arrays are defined flat
[1960]	1823	tend(k,j,i) = tend(k,j,i) - &
	1824	lsec * &
	1825	lad_s(kk,j,i) * &
	1826	SQRT( ( 0.5_wp * ( u(k,j,i) + &
	1827	u(k,j,i+1) ) &
	1828	)**2 + &
	1829	( 0.5_wp * ( v(k,j,i) + &
	1830	v(k,j+1,i) ) &
	1831	)**2 + &
	1832	( 0.5_wp * ( w(k-1,j,i) + &
	1833	w(k,j,i) ) &
	1834	)**2 &
	1835	) * &
	1836	( s(k,j,i) - lsc )
	1837	ENDDO
	1838	ENDDO
	1839	ENDDO
[1484]	1840
	1841
[1960]	1842
[138]	1843	CASE DEFAULT
	1844
[257]	1845	WRITE( message_string, * ) 'wrong component: ', component
[1826]	1846	CALL message( 'pcm_tendency', 'PA0279', 1, 2, 0, 6, 0 )
[138]	1847
	1848	END SELECT
	1849
[1826]	1850	END SUBROUTINE pcm_tendency
[138]	1851
	1852
	1853	!------------------------------------------------------------------------------!
[1484]	1854	! Description:
	1855	! ------------
[1682]	1856	!> Calculation of the tendency terms, accounting for the effect of the plant
	1857	!> canopy on momentum and scalar quantities.
	1858	!>
	1859	!> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0
[1826]	1860	!> (defined on scalar grid), as initialized in subroutine pcm_init.
[1682]	1861	!> The lad on the w-grid is vertically interpolated from the surrounding
	1862	!> lad_s. The upper boundary of the canopy is defined on the w-grid at
	1863	!> k = pch_index. Here, the lad is zero.
	1864	!>
	1865	!> The canopy drag must be limited (previously accounted for by calculation of
	1866	!> a limiting canopy timestep for the determination of the maximum LES timestep
	1867	!> in subroutine timestep), since it is physically impossible that the canopy
	1868	!> drag alone can locally change the sign of a velocity component. This
	1869	!> limitation is realized by calculating preliminary tendencies and velocities.
	1870	!> It is subsequently checked if the preliminary new velocity has a different
	1871	!> sign than the current velocity. If so, the tendency is limited in a way that
	1872	!> the velocity can at maximum be reduced to zero by the canopy drag.
	1873	!>
	1874	!>
	1875	!> Call for grid point i,j
[138]	1876	!------------------------------------------------------------------------------!
[1826]	1877	SUBROUTINE pcm_tendency_ij( i, j, component )
[138]	1878
	1879
[1320]	1880	USE control_parameters, &
[1484]	1881	ONLY: dt_3d, message_string
[1320]	1882
	1883	USE kinds
	1884
[138]	1885	IMPLICIT NONE
	1886
[1682]	1887	INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e)
	1888	INTEGER(iwp) :: i !< running index
	1889	INTEGER(iwp) :: j !< running index
	1890	INTEGER(iwp) :: k !< running index
[2232]	1891	INTEGER(iwp) :: k_wall !< vertical index of topography top
[1721]	1892	INTEGER(iwp) :: kk !< running index for flat lad arrays
[138]	1893
[1682]	1894	REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d)
	1895	REAL(wp) :: lad_local !< local lad value
	1896	REAL(wp) :: pre_tend !< preliminary tendency
	1897	REAL(wp) :: pre_u !< preliminary u-value
	1898	REAL(wp) :: pre_v !< preliminary v-value
	1899	REAL(wp) :: pre_w !< preliminary w-value
[1484]	1900
	1901
	1902	ddt_3d = 1.0_wp / dt_3d
[138]	1903	!
[1484]	1904	!-- Compute drag for the three velocity components and the SGS-TKE
[142]	1905	SELECT CASE ( component )
[138]	1906
	1907	!
[142]	1908	!-- u-component
[1484]	1909	CASE ( 1 )
[2232]	1910	!
	1911	!-- Determine topography-top index on u-grid
[4168]	1912	k_wall = topo_top_ind(j,i,1)
[2696]	1913	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
[2317]	1914
[2696]	1915	kk = k - k_wall !- lad arrays are defined flat
[138]	1916
	1917	!
[1484]	1918	!-- In order to create sharp boundaries of the plant canopy,
	1919	!-- the lad on the u-grid at index (k,j,i) is equal to lad_s(k,j,i),
	1920	!-- rather than being interpolated from the surrounding lad_s,
	1921	!-- because this would yield smaller lad at the canopy boundaries
	1922	!-- than inside of the canopy.
	1923	!-- For the same reason, the lad at the rightmost(i+1)canopy
	1924	!-- boundary on the u-grid equals lad_s(k,j,i).
[1721]	1925	lad_local = lad_s(kk,j,i)
	1926	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp ) THEN
	1927	lad_local = lad_s(kk,j,i-1)
[1484]	1928	ENDIF
	1929
	1930	pre_tend = 0.0_wp
	1931	pre_u = 0.0_wp
	1932	!
	1933	!-- Calculate preliminary value (pre_tend) of the tendency
	1934	pre_tend = - cdc * &
	1935	lad_local * &
	1936	SQRT( u(k,j,i)**2 + &
	1937	( 0.25_wp * ( v(k,j,i-1) + &
	1938	v(k,j,i) + &
	1939	v(k,j+1,i) + &
	1940	v(k,j+1,i-1) ) &
	1941	)**2 + &
	1942	( 0.25_wp * ( w(k-1,j,i-1) + &
	1943	w(k-1,j,i) + &
	1944	w(k,j,i-1) + &
	1945	w(k,j,i) ) &
	1946	)**2 &
	1947	) * &
	1948	u(k,j,i)
	1949
	1950	!
	1951	!-- Calculate preliminary new velocity, based on pre_tend
	1952	pre_u = u(k,j,i) + dt_3d * pre_tend
	1953	!
	1954	!-- Compare sign of old velocity and new preliminary velocity,
	1955	!-- and in case the signs are different, limit the tendency
	1956	IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN
	1957	pre_tend = - u(k,j,i) * ddt_3d
	1958	ELSE
	1959	pre_tend = pre_tend
	1960	ENDIF
	1961	!
	1962	!-- Calculate final tendency
	1963	tend(k,j,i) = tend(k,j,i) + pre_tend
	1964	ENDDO
	1965
	1966
	1967	!
[142]	1968	!-- v-component
[1484]	1969	CASE ( 2 )
[2232]	1970	!
	1971	!-- Determine topography-top index on v-grid
[4168]	1972	k_wall = topo_top_ind(j,i,2)
[2317]	1973
[2696]	1974	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
[138]	1975
[2232]	1976	kk = k - k_wall !- lad arrays are defined flat
[138]	1977	!
[1484]	1978	!-- In order to create sharp boundaries of the plant canopy,
	1979	!-- the lad on the v-grid at index (k,j,i) is equal to lad_s(k,j,i),
	1980	!-- rather than being interpolated from the surrounding lad_s,
	1981	!-- because this would yield smaller lad at the canopy boundaries
	1982	!-- than inside of the canopy.
	1983	!-- For the same reason, the lad at the northmost(j+1)canopy
	1984	!-- boundary on the v-grid equals lad_s(k,j,i).
[1721]	1985	lad_local = lad_s(kk,j,i)
	1986	IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp ) THEN
	1987	lad_local = lad_s(kk,j-1,i)
[1484]	1988	ENDIF
	1989
	1990	pre_tend = 0.0_wp
	1991	pre_v = 0.0_wp
	1992	!
	1993	!-- Calculate preliminary value (pre_tend) of the tendency
	1994	pre_tend = - cdc * &
	1995	lad_local * &
	1996	SQRT( ( 0.25_wp * ( u(k,j-1,i) + &
	1997	u(k,j-1,i+1) + &
	1998	u(k,j,i) + &
	1999	u(k,j,i+1) ) &
	2000	)**2 + &
	2001	v(k,j,i)**2 + &
	2002	( 0.25_wp * ( w(k-1,j-1,i) + &
	2003	w(k-1,j,i) + &
	2004	w(k,j-1,i) + &
	2005	w(k,j,i) ) &
	2006	)**2 &
	2007	) * &
	2008	v(k,j,i)
	2009
	2010	!
	2011	!-- Calculate preliminary new velocity, based on pre_tend
	2012	pre_v = v(k,j,i) + dt_3d * pre_tend
	2013	!
	2014	!-- Compare sign of old velocity and new preliminary velocity,
	2015	!-- and in case the signs are different, limit the tendency
	2016	IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN
	2017	pre_tend = - v(k,j,i) * ddt_3d
	2018	ELSE
	2019	pre_tend = pre_tend
	2020	ENDIF
	2021	!
	2022	!-- Calculate final tendency
	2023	tend(k,j,i) = tend(k,j,i) + pre_tend
	2024	ENDDO
	2025
	2026
	2027	!
[142]	2028	!-- w-component
[1484]	2029	CASE ( 3 )
[2232]	2030	!
	2031	!-- Determine topography-top index on w-grid
[4168]	2032	k_wall = topo_top_ind(j,i,3)
[2317]	2033
[2696]	2034	DO k = k_wall + 1, k_wall + pch_index_ji(j,i) - 1
[138]	2035
[2232]	2036	kk = k - k_wall !- lad arrays are defined flat
[1721]	2037
[1484]	2038	pre_tend = 0.0_wp
	2039	pre_w = 0.0_wp
[138]	2040	!
[1484]	2041	!-- Calculate preliminary value (pre_tend) of the tendency
	2042	pre_tend = - cdc * &
	2043	(0.5_wp * &
[1721]	2044	( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * &
[1484]	2045	SQRT( ( 0.25_wp * ( u(k,j,i) + &
	2046	u(k,j,i+1) + &
	2047	u(k+1,j,i) + &
	2048	u(k+1,j,i+1) ) &
	2049	)**2 + &
	2050	( 0.25_wp * ( v(k,j,i) + &
	2051	v(k,j+1,i) + &
	2052	v(k+1,j,i) + &
	2053	v(k+1,j+1,i) ) &
	2054	)**2 + &
	2055	w(k,j,i)**2 &
	2056	) * &
	2057	w(k,j,i)
	2058	!
	2059	!-- Calculate preliminary new velocity, based on pre_tend
	2060	pre_w = w(k,j,i) + dt_3d * pre_tend
	2061	!
	2062	!-- Compare sign of old velocity and new preliminary velocity,
	2063	!-- and in case the signs are different, limit the tendency
	2064	IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN
	2065	pre_tend = - w(k,j,i) * ddt_3d
	2066	ELSE
	2067	pre_tend = pre_tend
	2068	ENDIF
	2069	!
	2070	!-- Calculate final tendency
	2071	tend(k,j,i) = tend(k,j,i) + pre_tend
	2072	ENDDO
	2073
	2074	!
[153]	2075	!-- potential temperature
	2076	CASE ( 4 )
[2232]	2077	!
	2078	!-- Determine topography-top index on scalar grid
[4168]	2079	k_wall = topo_top_ind(j,i,0)
[2317]	2080
[3449]	2081	IF ( humidity ) THEN
	2082	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
	2083	kk = k - k_wall !- lad arrays are defined flat
[3582]	2084	tend(k,j,i) = tend(k,j,i) + pc_heating_rate(kk,j,i) - &
	2085	pc_latent_rate(kk,j,i)
[3449]	2086	ENDDO
	2087	ELSE
	2088	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
	2089	kk = k - k_wall !- lad arrays are defined flat
	2090	tend(k,j,i) = tend(k,j,i) + pc_heating_rate(kk,j,i)
	2091	ENDDO
	2092	ENDIF
[153]	2093
	2094	!
[1960]	2095	!-- humidity
[153]	2096	CASE ( 5 )
[2232]	2097	!
	2098	!-- Determine topography-top index on scalar grid
[4168]	2099	k_wall = topo_top_ind(j,i,0)
[2317]	2100
[2696]	2101	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
[3014]	2102	kk = k - k_wall !- lad arrays are defined flat
[3449]	2103	IF ( .NOT. plant_canopy_transpiration ) THEN
	2104	! pc_transpiration_rate is calculated in radiation model
	2105	! in case of plant_canopy_transpiration = .T.
	2106	! to include also the dependecy to the radiation
	2107	! in the plant canopy box
[3582]	2108	pc_transpiration_rate(kk,j,i) = - lsec &
	2109	* lad_s(kk,j,i) * &
	2110	SQRT( ( 0.5_wp * ( u(k,j,i) + &
	2111	u(k,j,i+1) ) &
	2112	)**2 + &
	2113	( 0.5_wp * ( v(k,j,i) + &
	2114	v(k,j+1,i) ) &
	2115	)**2 + &
	2116	( 0.5_wp * ( w(k-1,j,i) + &
	2117	w(k,j,i) ) &
	2118	)**2 &
	2119	) * &
[3449]	2120	( q(k,j,i) - lsc )
	2121	ENDIF
[2232]	2122
[3014]	2123	tend(k,j,i) = tend(k,j,i) + pc_transpiration_rate(kk,j,i)
	2124
[153]	2125	ENDDO
	2126
	2127	!
[142]	2128	!-- sgs-tke
[1484]	2129	CASE ( 6 )
[2232]	2130	!
	2131	!-- Determine topography-top index on scalar grid
[4168]	2132	k_wall = topo_top_ind(j,i,0)
[2317]	2133
[2696]	2134	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
[2232]	2135
	2136	kk = k - k_wall
[1484]	2137	tend(k,j,i) = tend(k,j,i) - &
	2138	2.0_wp * cdc * &
[1721]	2139	lad_s(kk,j,i) * &
[1484]	2140	SQRT( ( 0.5_wp * ( u(k,j,i) + &
	2141	u(k,j,i+1) ) &
	2142	)**2 + &
	2143	( 0.5_wp * ( v(k,j,i) + &
	2144	v(k,j+1,i) ) &
	2145	)**2 + &
	2146	( 0.5_wp * ( w(k,j,i) + &
	2147	w(k+1,j,i) ) &
	2148	)**2 &
	2149	) * &
	2150	e(k,j,i)
	2151	ENDDO
[1960]	2152
	2153	!
	2154	!-- scalar concentration
	2155	CASE ( 7 )
[2232]	2156	!
	2157	!-- Determine topography-top index on scalar grid
[4168]	2158	k_wall = topo_top_ind(j,i,0)
[2317]	2159
[2696]	2160	DO k = k_wall + 1, k_wall + pch_index_ji(j,i)
[2232]	2161
	2162	kk = k - k_wall
[1960]	2163	tend(k,j,i) = tend(k,j,i) - &
	2164	lsec * &
	2165	lad_s(kk,j,i) * &
	2166	SQRT( ( 0.5_wp * ( u(k,j,i) + &
	2167	u(k,j,i+1) ) &
	2168	)**2 + &
	2169	( 0.5_wp * ( v(k,j,i) + &
	2170	v(k,j+1,i) ) &
	2171	)**2 + &
	2172	( 0.5_wp * ( w(k-1,j,i) + &
	2173	w(k,j,i) ) &
	2174	)**2 &
	2175	) * &
	2176	( s(k,j,i) - lsc )
	2177	ENDDO
[138]	2178
[142]	2179	CASE DEFAULT
[138]	2180
[257]	2181	WRITE( message_string, * ) 'wrong component: ', component
[1826]	2182	CALL message( 'pcm_tendency', 'PA0279', 1, 2, 0, 6, 0 )
[138]	2183
[142]	2184	END SELECT
[138]	2185
[1826]	2186	END SUBROUTINE pcm_tendency_ij
[138]	2187
[2007]	2188
	2189
[138]	2190	END MODULE plant_canopy_model_mod

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

Download in other formats:

| Impressum | ©Leibniz Universität Hannover |