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source: palm/trunk/SOURCE/land_surface_model.f90 @ 1729

Last change on this file since 1729 was 1710, checked in by maronga, 9 years ago
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1	!> @file land_surface_model.f90
2	!--------------------------------------------------------------------------------!
3	! This file is part of PALM.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the terms
6	! of the GNU General Public License as published by the Free Software Foundation,
7	! either version 3 of the License, or (at your option) any later version.
8	!
9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
12	!
13	! You should have received a copy of the GNU General Public License along with
14	! PALM. If not, see <http://www.gnu.org/licenses/>.
15	!
16	! Copyright 1997-2015 Leibniz Universitaet Hannover
17	!--------------------------------------------------------------------------------!
18	!
19	! Current revisions:
20	! -----------------
21	!
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: land_surface_model.f90 1710 2015-11-04 14:48:36Z gronemeier $
26	!
27	! 1709 2015-11-04 14:47:01Z maronga
28	! Renamed pt_1 and qv_1 to pt1 and qv1.
29	! Bugfix: set initial values for t_surface_p in case of restart runs
30	! Bugfix: zero resistance caused crash when using radiation_scheme = 'clear-sky'
31	! Bugfix: calculation of rad_net when using radiation_scheme = 'clear-sky'
32	! Added todo action
33	!
34	! 1697 2015-10-28 17:14:10Z raasch
35	! bugfix: misplaced cpp-directive
36	!
37	! 1695 2015-10-27 10:03:11Z maronga
38	! Bugfix: REAL constants provided with KIND-attribute in call of
39	! Replaced rif with ol
40	!
41	! 1691 2015-10-26 16:17:44Z maronga
42	! Added skip_time_do_lsm to allow for spin-ups without LSM. Various bugfixes:
43	! Soil temperatures are now defined at the edges of the layers, calculation of
44	! shb_eb corrected, prognostic equation for skin temperature corrected. Surface
45	! fluxes are now directly transfered to atmosphere
46	!
47	! 1682 2015-10-07 23:56:08Z knoop
48	! Code annotations made doxygen readable
49	!
50	! 1590 2015-05-08 13:56:27Z maronga
51	! Bugfix: definition of character strings requires same length for all elements
52	!
53	! 1585 2015-04-30 07:05:52Z maronga
54	! Modifications for RRTMG. Changed tables to PARAMETER type.
55	!
56	! 1571 2015-03-12 16:12:49Z maronga
57	! Removed upper-case variable names. Corrected distribution of precipitation to
58	! the liquid water reservoir and the bare soil fractions.
59	!
60	! 1555 2015-03-04 17:44:27Z maronga
61	! Added output of r_a and r_s
62	!
63	! 1553 2015-03-03 17:33:54Z maronga
64	! Improved better treatment of roughness lengths. Added default soil temperature
65	! profile
66	!
67	! 1551 2015-03-03 14:18:16Z maronga
68	! Flux calculation is now done in prandtl_fluxes. Added support for data output.
69	! Vertical indices have been replaced. Restart runs are now possible. Some
70	! variables have beem renamed. Bugfix in the prognostic equation for the surface
71	! temperature. Introduced z0_eb and z0h_eb, which overwrite the setting of
72	! roughness_length and z0_factor. Added Clapp & Hornberger parametrization for
73	! the hydraulic conductivity. Bugfix for root fraction and extraction
74	! calculation
75	!
76	! intrinsic function MAX and MIN
77	!
78	! 1500 2014-12-03 17:42:41Z maronga
79	! Corrected calculation of aerodynamic resistance (r_a).
80	! Precipitation is now added to liquid water reservoir using LE_liq.
81	! Added support for dry runs.
82	!
83	! 1496 2014-12-02 17:25:50Z maronga
84	! Initial revision
85	!
86	!
87	! Description:
88	! ------------
89	!> Land surface model, consisting of a solver for the energy balance at the
90	!> surface and a four layer soil scheme. The scheme is similar to the TESSEL
91	!> scheme implemented in the ECMWF IFS model, with modifications according to
92	!> H-TESSEL. The implementation is based on the formulation implemented in the
93	!> DALES and UCLA-LES models.
94	!>
95	!> @todo Consider partial absorption of the net shortwave radiation by the
96	!> skin layer.
97	!> @todo Allow for water surfaces
98	!> @todo Invert indices (running from -3 to 0. Currently: nzb_soil=0,
99	!> nzt_soil=3)).
100	!> @todo Implement surface runoff model (required when performing long-term LES
101	!> with considerable precipitation.
102	!> @todo Fix crashes with radiation_scheme == 'constant'
103	!>
104	!> @note No time step criterion is required as long as the soil layers do not
105	!> become too thin.
106	!------------------------------------------------------------------------------!
107	MODULE land_surface_model_mod
108
109	USE arrays_3d, &
110	ONLY: hyp, ol, pt, pt_p, q, q_p, ql, qsws, shf, ts, us, vpt, z0, z0h
111
112	USE cloud_parameters, &
113	ONLY: cp, hyrho, l_d_cp, l_d_r, l_v, prr, pt_d_t, rho_l, r_d, r_v
114
115	USE control_parameters, &
116	ONLY: cloud_physics, dt_3d, humidity, intermediate_timestep_count, &
117	initializing_actions, intermediate_timestep_count_max, &
118	max_masks, precipitation, pt_surface, rho_surface, &
119	roughness_length, surface_pressure, timestep_scheme, tsc, &
120	z0h_factor, time_since_reference_point
121
122	USE indices, &
123	ONLY: nbgp, nxlg, nxrg, nyng, nysg, nzb, nzb_s_inner
124
125	USE kinds
126
127	USE netcdf_control, &
128	ONLY: dots_label, dots_num, dots_unit
129
130	USE pegrid
131
132	USE radiation_model_mod, &
133	ONLY: force_radiation_call, radiation_scheme, rad_net, rad_sw_in, &
134	rad_lw_out, rad_lw_out_change_0, sigma_sb
135
136	#if defined ( __rrtmg )
137	USE radiation_model_mod, &
138	ONLY: rrtm_idrv
139	#endif
140
141	USE statistics, &
142	ONLY: hom, statistic_regions
143
144	IMPLICIT NONE
145
146	!
147	!-- LSM model constants
148	INTEGER(iwp), PARAMETER :: nzb_soil = 0, & !< bottom of the soil model (to be switched)
149	nzt_soil = 3, & !< top of the soil model (to be switched)
150	nzs = 4 !< number of soil layers (fixed for now)
151
152	INTEGER(iwp) :: dots_soil = 0 !< starting index for timeseries output
153
154	INTEGER(iwp), DIMENSION(0:1) :: id_dim_zs_xy, id_dim_zs_xz, id_dim_zs_yz, &
155	id_dim_zs_3d, id_var_zs_xy, &
156	id_var_zs_xz, id_var_zs_yz, id_var_zs_3d
157
158	INTEGER(iwp), DIMENSION(1:max_masks,0:1) :: id_dim_zs_mask, id_var_zs_mask
159
160	REAL(wp), PARAMETER :: &
161	b_ch = 6.04_wp, & ! Clapp & Hornberger exponent
162	lambda_h_dry = 0.19_wp, & ! heat conductivity for dry soil
163	lambda_h_sm = 3.44_wp, & ! heat conductivity of the soil matrix
164	lambda_h_water = 0.57_wp, & ! heat conductivity of water
165	psi_sat = -0.388_wp, & ! soil matrix potential at saturation
166	rho_c_soil = 2.19E6_wp, & ! volumetric heat capacity of soil
167	rho_c_water = 4.20E6_wp, & ! volumetric heat capacity of water
168	m_max_depth = 0.0002_wp ! Maximum capacity of the water reservoir (m)
169
170
171	!
172	!-- LSM variables
173	INTEGER(iwp) :: veg_type = 2, & !< vegetation type, 0: user-defined, 1-19: generic (see list)
174	soil_type = 3 !< soil type, 0: user-defined, 1-6: generic (see list)
175
176	LOGICAL :: conserve_water_content = .TRUE., & !< open or closed bottom surface for the soil model
177	dewfall = .TRUE., & !< allow/inhibit dewfall
178	force_radiation_call_l = .FALSE., & !< flag parameter for unscheduled radiation model calls
179	land_surface = .FALSE. !< flag parameter indicating wheather the lsm is used
180
181	! value 9999999.9_wp -> generic available or user-defined value must be set
182	! otherwise -> no generic variable and user setting is optional
183	REAL(wp) :: alpha_vangenuchten = 9999999.9_wp, & !< NAMELIST alpha_vg
184	canopy_resistance_coefficient = 9999999.9_wp, & !< NAMELIST g_d
185	c_surface = 20000.0_wp, & !< Surface (skin) heat capacity
186	drho_l_lv, & !< (rho_l * l_v)**-1
187	exn, & !< value of the Exner function
188	e_s = 0.0_wp, & !< saturation water vapour pressure
189	field_capacity = 9999999.9_wp, & !< NAMELIST m_fc
190	f_shortwave_incoming = 9999999.9_wp, & !< NAMELIST f_sw_in
191	hydraulic_conductivity = 9999999.9_wp, & !< NAMELIST gamma_w_sat
192	ke = 0.0_wp, & !< Kersten number
193	lambda_h_sat = 0.0_wp, & !< heat conductivity for saturated soil
194	lambda_surface_stable = 9999999.9_wp, & !< NAMELIST lambda_surface_s
195	lambda_surface_unstable = 9999999.9_wp, & !< NAMELIST lambda_surface_u
196	leaf_area_index = 9999999.9_wp, & !< NAMELIST lai
197	l_vangenuchten = 9999999.9_wp, & !< NAMELIST l_vg
198	min_canopy_resistance = 9999999.9_wp, & !< NAMELIST r_canopy_min
199	min_soil_resistance = 50.0_wp, & !< NAMELIST r_soil_min
200	m_total = 0.0_wp, & !< weighted total water content of the soil (m3/m3)
201	n_vangenuchten = 9999999.9_wp, & !< NAMELIST n_vg
202	q_s = 0.0_wp, & !< saturation specific humidity
203	residual_moisture = 9999999.9_wp, & !< NAMELIST m_res
204	rho_cp, & !< rho_surface * cp
205	rho_lv, & !< rho * l_v
206	rd_d_rv, & !< r_d / r_v
207	saturation_moisture = 9999999.9_wp, & !< NAMELIST m_sat
208	skip_time_do_lsm = 0.0_wp, & !< LSM is not called before this time
209	vegetation_coverage = 9999999.9_wp, & !< NAMELIST c_veg
210	wilting_point = 9999999.9_wp, & !< NAMELIST m_wilt
211	z0_eb = 9999999.9_wp, & !< NAMELIST z0 (lsm_par)
212	z0h_eb = 9999999.9_wp !< NAMELIST z0h (lsm_par)
213
214	REAL(wp), DIMENSION(nzb_soil:nzt_soil) :: &
215	ddz_soil_stag, & !< 1/dz_soil_stag
216	dz_soil_stag, & !< soil grid spacing (center-center)
217	root_extr = 0.0_wp, & !< root extraction
218	root_fraction = (/9999999.9_wp, 9999999.9_wp, &
219	9999999.9_wp, 9999999.9_wp /), & !< distribution of root surface area to the individual soil layers
220	zs = (/0.07_wp, 0.28_wp, 1.00_wp, 2.89_wp/), & !< soil layer depths (m)
221	soil_moisture = 0.0_wp !< soil moisture content (m3/m3)
222
223	REAL(wp), DIMENSION(nzb_soil:nzt_soil+1) :: &
224	soil_temperature = (/290.0_wp, 287.0_wp, 285.0_wp, 283.0_wp, & !< soil temperature (K)
225	283.0_wp /), &
226	ddz_soil, & !< 1/dz_soil
227	dz_soil !< soil grid spacing (edge-edge)
228
229	#if defined( __nopointer )
230	REAL(wp), DIMENSION(:,:), ALLOCATABLE, TARGET :: t_surface, & !< surface temperature (K)
231	t_surface_p, & !< progn. surface temperature (K)
232	m_liq_eb, & !< liquid water reservoir (m)
233	m_liq_eb_av, & !< liquid water reservoir (m)
234	m_liq_eb_p !< progn. liquid water reservoir (m)
235	#else
236	REAL(wp), DIMENSION(:,:), POINTER :: t_surface, &
237	t_surface_p, &
238	m_liq_eb, &
239	m_liq_eb_p
240
241	REAL(wp), DIMENSION(:,:), ALLOCATABLE, TARGET :: t_surface_1, t_surface_2, &
242	m_liq_eb_av, &
243	m_liq_eb_1, m_liq_eb_2
244	#endif
245
246	!
247	!-- Temporal tendencies for time stepping
248	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: tt_surface_m, & !< surface temperature tendency (K)
249	tm_liq_eb_m !< liquid water reservoir tendency (m)
250
251	!
252	!-- Energy balance variables
253	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: &
254	alpha_vg, & !< coef. of Van Genuchten
255	c_liq, & !< liquid water coverage (of vegetated area)
256	c_liq_av, & !< average of c_liq
257	c_soil_av, & !< average of c_soil
258	c_veg, & !< vegetation coverage
259	c_veg_av, & !< average of c_veg
260	f_sw_in, & !< fraction of absorbed shortwave radiation by the surface layer (not implemented yet)
261	ghf_eb, & !< ground heat flux
262	ghf_eb_av, & !< average of ghf_eb
263	gamma_w_sat, & !< hydraulic conductivity at saturation
264	g_d, & !< coefficient for dependence of r_canopy on water vapour pressure deficit
265	lai, & !< leaf area index
266	lai_av, & !< average of lai
267	lambda_surface_s, & !< coupling between surface and soil (depends on vegetation type)
268	lambda_surface_u, & !< coupling between surface and soil (depends on vegetation type)
269	l_vg, & !< coef. of Van Genuchten
270	m_fc, & !< soil moisture at field capacity (m3/m3)
271	m_res, & !< residual soil moisture
272	m_sat, & !< saturation soil moisture (m3/m3)
273	m_wilt, & !< soil moisture at permanent wilting point (m3/m3)
274	n_vg, & !< coef. Van Genuchten
275	qsws_eb, & !< surface flux of latent heat (total)
276	qsws_eb_av, & !< average of qsws_eb
277	qsws_liq_eb, & !< surface flux of latent heat (liquid water portion)
278	qsws_liq_eb_av, & !< average of qsws_liq_eb
279	qsws_soil_eb, & !< surface flux of latent heat (soil portion)
280	qsws_soil_eb_av, & !< average of qsws_soil_eb
281	qsws_veg_eb, & !< surface flux of latent heat (vegetation portion)
282	qsws_veg_eb_av, & !< average of qsws_veg_eb
283	rad_net_l, & !< local copy of rad_net (net radiation at surface)
284	r_a, & !< aerodynamic resistance
285	r_a_av, & !< average of r_a
286	r_canopy, & !< canopy resistance
287	r_soil, & !< soil resistance
288	r_soil_min, & !< minimum soil resistance
289	r_s, & !< total surface resistance (combination of r_soil and r_canopy)
290	r_s_av, & !< average of r_s
291	r_canopy_min, & !< minimum canopy (stomatal) resistance
292	shf_eb, & !< surface flux of sensible heat
293	shf_eb_av !< average of shf_eb
294
295
296	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: &
297	lambda_h, & !< heat conductivity of soil (?)
298	lambda_w, & !< hydraulic diffusivity of soil (?)
299	gamma_w, & !< hydraulic conductivity of soil (?)
300	rho_c_total !< volumetric heat capacity of the actual soil matrix (?)
301
302	#if defined( __nopointer )
303	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE, TARGET :: &
304	t_soil, & !< Soil temperature (K)
305	t_soil_av, & !< Average of t_soil
306	t_soil_p, & !< Prog. soil temperature (K)
307	m_soil, & !< Soil moisture (m3/m3)
308	m_soil_av, & !< Average of m_soil
309	m_soil_p !< Prog. soil moisture (m3/m3)
310	#else
311	REAL(wp), DIMENSION(:,:,:), POINTER :: &
312	t_soil, t_soil_p, &
313	m_soil, m_soil_p
314
315	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE, TARGET :: &
316	t_soil_av, t_soil_1, t_soil_2, &
317	m_soil_av, m_soil_1, m_soil_2
318	#endif
319
320
321	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: &
322	tt_soil_m, & !< t_soil storage array
323	tm_soil_m, & !< m_soil storage array
324	root_fr !< root fraction (sum=1)
325
326
327	!
328	!-- Predefined Land surface classes (veg_type)
329	CHARACTER(26), DIMENSION(0:19), PARAMETER :: veg_type_name = (/ &
330	'user defined ', & ! 0
331	'crops, mixed farming ', & ! 1
332	'short grass ', & ! 2
333	'evergreen needleleaf trees', & ! 3
334	'deciduous needleleaf trees', & ! 4
335	'evergreen broadleaf trees ', & ! 5
336	'deciduous broadleaf trees ', & ! 6
337	'tall grass ', & ! 7
338	'desert ', & ! 8
339	'tundra ', & ! 9
340	'irrigated crops ', & ! 10
341	'semidesert ', & ! 11
342	'ice caps and glaciers ', & ! 12
343	'bogs and marshes ', & ! 13
344	'inland water ', & ! 14
345	'ocean ', & ! 15
346	'evergreen shrubs ', & ! 16
347	'deciduous shrubs ', & ! 17
348	'mixed forest/woodland ', & ! 18
349	'interrupted forest ' & ! 19
350	/)
351
352	!
353	!-- Soil model classes (soil_type)
354	CHARACTER(12), DIMENSION(0:7), PARAMETER :: soil_type_name = (/ &
355	'user defined', & ! 0
356	'coarse ', & ! 1
357	'medium ', & ! 2
358	'medium-fine ', & ! 3
359	'fine ', & ! 4
360	'very fine ', & ! 5
361	'organic ', & ! 6
362	'loamy (CH) ' & ! 7
363	/)
364	!
365	!-- Land surface parameters according to the respective classes (veg_type)
366
367	!
368	!-- Land surface parameters I
369	!-- r_canopy_min, lai, c_veg, g_d
370	REAL(wp), DIMENSION(0:3,1:19), PARAMETER :: veg_pars = RESHAPE( (/ &
371	180.0_wp, 3.00_wp, 0.90_wp, 0.00_wp, & ! 1
372	110.0_wp, 2.00_wp, 0.85_wp, 0.00_wp, & ! 2
373	500.0_wp, 5.00_wp, 0.90_wp, 0.03_wp, & ! 3
374	500.0_wp, 5.00_wp, 0.90_wp, 0.03_wp, & ! 4
375	175.0_wp, 5.00_wp, 0.90_wp, 0.03_wp, & ! 5
376	240.0_wp, 6.00_wp, 0.99_wp, 0.13_wp, & ! 6
377	100.0_wp, 2.00_wp, 0.70_wp, 0.00_wp, & ! 7
378	250.0_wp, 0.05_wp, 0.00_wp, 0.00_wp, & ! 8
379	80.0_wp, 1.00_wp, 0.50_wp, 0.00_wp, & ! 9
380	180.0_wp, 3.00_wp, 0.90_wp, 0.00_wp, & ! 10
381	150.0_wp, 0.50_wp, 0.10_wp, 0.00_wp, & ! 11
382	0.0_wp, 0.00_wp, 0.00_wp, 0.00_wp, & ! 12
383	240.0_wp, 4.00_wp, 0.60_wp, 0.00_wp, & ! 13
384	0.0_wp, 0.00_wp, 0.00_wp, 0.00_wp, & ! 14
385	0.0_wp, 0.00_wp, 0.00_wp, 0.00_wp, & ! 15
386	225.0_wp, 3.00_wp, 0.50_wp, 0.00_wp, & ! 16
387	225.0_wp, 1.50_wp, 0.50_wp, 0.00_wp, & ! 17
388	250.0_wp, 5.00_wp, 0.90_wp, 0.03_wp, & ! 18
389	175.0_wp, 2.50_wp, 0.90_wp, 0.03_wp & ! 19
390	/), (/ 4, 19 /) )
391
392	!
393	!-- Land surface parameters II z0, z0h
394	REAL(wp), DIMENSION(0:1,1:19), PARAMETER :: roughness_par = RESHAPE( (/ &
395	0.25_wp, 0.25E-2_wp, & ! 1
396	0.20_wp, 0.20E-2_wp, & ! 2
397	2.00_wp, 2.00_wp, & ! 3
398	2.00_wp, 2.00_wp, & ! 4
399	2.00_wp, 2.00_wp, & ! 5
400	2.00_wp, 2.00_wp, & ! 6
401	0.47_wp, 0.47E-2_wp, & ! 7
402	0.013_wp, 0.013E-2_wp, & ! 8
403	0.034_wp, 0.034E-2_wp, & ! 9
404	0.5_wp, 0.50E-2_wp, & ! 10
405	0.17_wp, 0.17E-2_wp, & ! 11
406	1.3E-3_wp, 1.3E-4_wp, & ! 12
407	0.83_wp, 0.83E-2_wp, & ! 13
408	0.00_wp, 0.00E-2_wp, & ! 14
409	0.00_wp, 0.00E-2_wp, & ! 15
410	0.10_wp, 0.10E-2_wp, & ! 16
411	0.25_wp, 0.25E-2_wp, & ! 17
412	2.00_wp, 2.00E-2_wp, & ! 18
413	1.10_wp, 1.10E-2_wp & ! 19
414	/), (/ 2, 19 /) )
415
416	!
417	!-- Land surface parameters III lambda_surface_s, lambda_surface_u, f_sw_in
418	REAL(wp), DIMENSION(0:2,1:19), PARAMETER :: surface_pars = RESHAPE( (/ &
419	10.0_wp, 10.0_wp, 0.05_wp, & ! 1
420	10.0_wp, 10.0_wp, 0.05_wp, & ! 2
421	20.0_wp, 15.0_wp, 0.03_wp, & ! 3
422	20.0_wp, 15.0_wp, 0.03_wp, & ! 4
423	20.0_wp, 15.0_wp, 0.03_wp, & ! 5
424	20.0_wp, 15.0_wp, 0.03_wp, & ! 6
425	10.0_wp, 10.0_wp, 0.05_wp, & ! 7
426	15.0_wp, 15.0_wp, 0.00_wp, & ! 8
427	10.0_wp, 10.0_wp, 0.05_wp, & ! 9
428	10.0_wp, 10.0_wp, 0.05_wp, & ! 10
429	10.0_wp, 10.0_wp, 0.05_wp, & ! 11
430	58.0_wp, 58.0_wp, 0.00_wp, & ! 12
431	10.0_wp, 10.0_wp, 0.05_wp, & ! 13
432	1.0E20_wp, 1.0E20_wp, 0.00_wp, & ! 14
433	1.0E20_wp, 1.0E20_wp, 0.00_wp, & ! 15
434	10.0_wp, 10.0_wp, 0.05_wp, & ! 16
435	10.0_wp, 10.0_wp, 0.05_wp, & ! 17
436	20.0_wp, 15.0_wp, 0.03_wp, & ! 18
437	20.0_wp, 15.0_wp, 0.03_wp & ! 19
438	/), (/ 3, 19 /) )
439
440	!
441	!-- Root distribution (sum = 1) level 1, level 2, level 3, level 4,
442	REAL(wp), DIMENSION(0:3,1:19), PARAMETER :: root_distribution = RESHAPE( (/ &
443	0.24_wp, 0.41_wp, 0.31_wp, 0.04_wp, & ! 1
444	0.35_wp, 0.38_wp, 0.23_wp, 0.04_wp, & ! 2
445	0.26_wp, 0.39_wp, 0.29_wp, 0.06_wp, & ! 3
446	0.26_wp, 0.38_wp, 0.29_wp, 0.07_wp, & ! 4
447	0.24_wp, 0.38_wp, 0.31_wp, 0.07_wp, & ! 5
448	0.25_wp, 0.34_wp, 0.27_wp, 0.14_wp, & ! 6
449	0.27_wp, 0.27_wp, 0.27_wp, 0.09_wp, & ! 7
450	1.00_wp, 0.00_wp, 0.00_wp, 0.00_wp, & ! 8
451	0.47_wp, 0.45_wp, 0.08_wp, 0.00_wp, & ! 9
452	0.24_wp, 0.41_wp, 0.31_wp, 0.04_wp, & ! 10
453	0.17_wp, 0.31_wp, 0.33_wp, 0.19_wp, & ! 11
454	0.00_wp, 0.00_wp, 0.00_wp, 0.00_wp, & ! 12
455	0.25_wp, 0.34_wp, 0.27_wp, 0.11_wp, & ! 13
456	0.00_wp, 0.00_wp, 0.00_wp, 0.00_wp, & ! 14
457	0.00_wp, 0.00_wp, 0.00_wp, 0.00_wp, & ! 15
458	0.23_wp, 0.36_wp, 0.30_wp, 0.11_wp, & ! 16
459	0.23_wp, 0.36_wp, 0.30_wp, 0.11_wp, & ! 17
460	0.19_wp, 0.35_wp, 0.36_wp, 0.10_wp, & ! 18
461	0.19_wp, 0.35_wp, 0.36_wp, 0.10_wp & ! 19
462	/), (/ 4, 19 /) )
463
464	!
465	!-- Soil parameters according to the following porosity classes (soil_type)
466
467	!
468	!-- Soil parameters I alpha_vg, l_vg, n_vg, gamma_w_sat
469	REAL(wp), DIMENSION(0:3,1:7), PARAMETER :: soil_pars = RESHAPE( (/ &
470	3.83_wp, 1.250_wp, 1.38_wp, 6.94E-6_wp, & ! 1
471	3.14_wp, -2.342_wp, 1.28_wp, 1.16E-6_wp, & ! 2
472	0.83_wp, -0.588_wp, 1.25_wp, 0.26E-6_wp, & ! 3
473	3.67_wp, -1.977_wp, 1.10_wp, 2.87E-6_wp, & ! 4
474	2.65_wp, 2.500_wp, 1.10_wp, 1.74E-6_wp, & ! 5
475	1.30_wp, 0.400_wp, 1.20_wp, 0.93E-6_wp, & ! 6
476	0.00_wp, 0.00_wp, 0.00_wp, 0.57E-6_wp & ! 7
477	/), (/ 4, 7 /) )
478
479	!
480	!-- Soil parameters II m_sat, m_fc, m_wilt, m_res
481	REAL(wp), DIMENSION(0:3,1:7), PARAMETER :: m_soil_pars = RESHAPE( (/ &
482	0.403_wp, 0.244_wp, 0.059_wp, 0.025_wp, & ! 1
483	0.439_wp, 0.347_wp, 0.151_wp, 0.010_wp, & ! 2
484	0.430_wp, 0.383_wp, 0.133_wp, 0.010_wp, & ! 3
485	0.520_wp, 0.448_wp, 0.279_wp, 0.010_wp, & ! 4
486	0.614_wp, 0.541_wp, 0.335_wp, 0.010_wp, & ! 5
487	0.766_wp, 0.663_wp, 0.267_wp, 0.010_wp, & ! 6
488	0.472_wp, 0.323_wp, 0.171_wp, 0.000_wp & ! 7
489	/), (/ 4, 7 /) )
490
491
492	SAVE
493
494
495	PRIVATE
496
497
498	!
499	!-- Public parameters, constants and initial values
500	PUBLIC alpha_vangenuchten, c_surface, canopy_resistance_coefficient, &
501	conserve_water_content, dewfall, field_capacity, &
502	f_shortwave_incoming, hydraulic_conductivity, init_lsm, &
503	init_lsm_arrays, lambda_surface_stable, lambda_surface_unstable, &
504	land_surface, leaf_area_index, lsm_energy_balance, lsm_soil_model, &
505	lsm_swap_timelevel, l_vangenuchten, min_canopy_resistance, &
506	min_soil_resistance, n_vangenuchten, residual_moisture, rho_cp, &
507	rho_lv, root_fraction, saturation_moisture, skip_time_do_lsm, &
508	soil_moisture, soil_temperature, soil_type, soil_type_name, &
509	vegetation_coverage, veg_type, veg_type_name, wilting_point, z0_eb, &
510	z0h_eb
511
512	!
513	!-- Public grid and NetCDF variables
514	PUBLIC dots_soil, id_dim_zs_xy, id_dim_zs_xz, id_dim_zs_yz, &
515	id_dim_zs_3d, id_dim_zs_mask, id_var_zs_xy, id_var_zs_xz, &
516	id_var_zs_yz, id_var_zs_3d, id_var_zs_mask, nzb_soil, nzs, nzt_soil,&
517	zs
518
519	!
520	!-- Public 2D output variables
521	PUBLIC c_liq, c_liq_av, c_soil_av, c_veg, c_veg_av, ghf_eb, ghf_eb_av, &
522	lai, lai_av, qsws_eb, qsws_eb_av, qsws_liq_eb, qsws_liq_eb_av, &
523	qsws_soil_eb, qsws_soil_eb_av, qsws_veg_eb, qsws_veg_eb_av, &
524	r_a, r_a_av, r_s, r_s_av, shf_eb, shf_eb_av
525
526	!
527	!-- Public prognostic variables
528	PUBLIC m_liq_eb, m_liq_eb_av, m_soil, m_soil_av, t_soil, t_soil_av
529
530	INTERFACE init_lsm
531	MODULE PROCEDURE init_lsm
532	END INTERFACE init_lsm
533
534	INTERFACE lsm_energy_balance
535	MODULE PROCEDURE lsm_energy_balance
536	END INTERFACE lsm_energy_balance
537
538	INTERFACE lsm_soil_model
539	MODULE PROCEDURE lsm_soil_model
540	END INTERFACE lsm_soil_model
541
542	INTERFACE lsm_swap_timelevel
543	MODULE PROCEDURE lsm_swap_timelevel
544	END INTERFACE lsm_swap_timelevel
545
546	CONTAINS
547
548
549	!------------------------------------------------------------------------------!
550	! Description:
551	! ------------
552	!> Allocate land surface model arrays and define pointers
553	!------------------------------------------------------------------------------!
554	SUBROUTINE init_lsm_arrays
555
556
557	IMPLICIT NONE
558
559	!
560	!-- Allocate surface and soil temperature / humidity
561	#if defined( __nopointer )
562	ALLOCATE ( m_liq_eb(nysg:nyng,nxlg:nxrg) )
563	ALLOCATE ( m_liq_eb_p(nysg:nyng,nxlg:nxrg) )
564	ALLOCATE ( m_soil(nzb_soil:nzt_soil,nysg:nyng,nxlg:nxrg) )
565	ALLOCATE ( m_soil_p(nzb_soil:nzt_soil,nysg:nyng,nxlg:nxrg) )
566	ALLOCATE ( t_surface(nysg:nyng,nxlg:nxrg) )
567	ALLOCATE ( t_surface_p(nysg:nyng,nxlg:nxrg) )
568	ALLOCATE ( t_soil(nzb_soil:nzt_soil+1,nysg:nyng,nxlg:nxrg) )
569	ALLOCATE ( t_soil_p(nzb_soil:nzt_soil+1,nysg:nyng,nxlg:nxrg) )
570	#else
571	ALLOCATE ( m_liq_eb_1(nysg:nyng,nxlg:nxrg) )
572	ALLOCATE ( m_liq_eb_2(nysg:nyng,nxlg:nxrg) )
573	ALLOCATE ( m_soil_1(nzb_soil:nzt_soil,nysg:nyng,nxlg:nxrg) )
574	ALLOCATE ( m_soil_2(nzb_soil:nzt_soil,nysg:nyng,nxlg:nxrg) )
575	ALLOCATE ( t_surface_1(nysg:nyng,nxlg:nxrg) )
576	ALLOCATE ( t_surface_2(nysg:nyng,nxlg:nxrg) )
577	ALLOCATE ( t_soil_1(nzb_soil:nzt_soil+1,nysg:nyng,nxlg:nxrg) )
578	ALLOCATE ( t_soil_2(nzb_soil:nzt_soil+1,nysg:nyng,nxlg:nxrg) )
579	#endif
580
581	!
582	!-- Allocate intermediate timestep arrays
583	ALLOCATE ( tm_liq_eb_m(nysg:nyng,nxlg:nxrg) )
584	ALLOCATE ( tm_soil_m(nzb_soil:nzt_soil,nysg:nyng,nxlg:nxrg) )
585	ALLOCATE ( tt_surface_m(nysg:nyng,nxlg:nxrg) )
586	ALLOCATE ( tt_soil_m(nzb_soil:nzt_soil,nysg:nyng,nxlg:nxrg) )
587
588	!
589	!-- Allocate 2D vegetation model arrays
590	ALLOCATE ( alpha_vg(nysg:nyng,nxlg:nxrg) )
591	ALLOCATE ( c_liq(nysg:nyng,nxlg:nxrg) )
592	ALLOCATE ( c_veg(nysg:nyng,nxlg:nxrg) )
593	ALLOCATE ( f_sw_in(nysg:nyng,nxlg:nxrg) )
594	ALLOCATE ( ghf_eb(nysg:nyng,nxlg:nxrg) )
595	ALLOCATE ( gamma_w_sat(nysg:nyng,nxlg:nxrg) )
596	ALLOCATE ( g_d(nysg:nyng,nxlg:nxrg) )
597	ALLOCATE ( lai(nysg:nyng,nxlg:nxrg) )
598	ALLOCATE ( l_vg(nysg:nyng,nxlg:nxrg) )
599	ALLOCATE ( lambda_surface_u(nysg:nyng,nxlg:nxrg) )
600	ALLOCATE ( lambda_surface_s(nysg:nyng,nxlg:nxrg) )
601	ALLOCATE ( m_fc(nysg:nyng,nxlg:nxrg) )
602	ALLOCATE ( m_res(nysg:nyng,nxlg:nxrg) )
603	ALLOCATE ( m_sat(nysg:nyng,nxlg:nxrg) )
604	ALLOCATE ( m_wilt(nysg:nyng,nxlg:nxrg) )
605	ALLOCATE ( n_vg(nysg:nyng,nxlg:nxrg) )
606	ALLOCATE ( qsws_eb(nysg:nyng,nxlg:nxrg) )
607	ALLOCATE ( qsws_soil_eb(nysg:nyng,nxlg:nxrg) )
608	ALLOCATE ( qsws_liq_eb(nysg:nyng,nxlg:nxrg) )
609	ALLOCATE ( qsws_veg_eb(nysg:nyng,nxlg:nxrg) )
610	ALLOCATE ( rad_net_l(nysg:nyng,nxlg:nxrg) )
611	ALLOCATE ( r_a(nysg:nyng,nxlg:nxrg) )
612	ALLOCATE ( r_canopy(nysg:nyng,nxlg:nxrg) )
613	ALLOCATE ( r_soil(nysg:nyng,nxlg:nxrg) )
614	ALLOCATE ( r_soil_min(nysg:nyng,nxlg:nxrg) )
615	ALLOCATE ( r_s(nysg:nyng,nxlg:nxrg) )
616	ALLOCATE ( r_canopy_min(nysg:nyng,nxlg:nxrg) )
617	ALLOCATE ( shf_eb(nysg:nyng,nxlg:nxrg) )
618
619	#if ! defined( __nopointer )
620	!
621	!-- Initial assignment of the pointers
622	t_soil => t_soil_1; t_soil_p => t_soil_2
623	t_surface => t_surface_1; t_surface_p => t_surface_2
624	m_soil => m_soil_1; m_soil_p => m_soil_2
625	m_liq_eb => m_liq_eb_1; m_liq_eb_p => m_liq_eb_2
626	#endif
627
628
629	END SUBROUTINE init_lsm_arrays
630
631	!------------------------------------------------------------------------------!
632	! Description:
633	! ------------
634	!> Initialization of the land surface model
635	!------------------------------------------------------------------------------!
636	SUBROUTINE init_lsm
637
638
639	IMPLICIT NONE
640
641	INTEGER(iwp) :: i !< running index
642	INTEGER(iwp) :: j !< running index
643	INTEGER(iwp) :: k !< running index
644
645	REAL(wp) :: pt1 !< potential temperature at first grid level
646
647
648	!
649	!-- Calculate Exner function
650	exn = ( surface_pressure / 1000.0_wp )**0.286_wp
651
652
653	!
654	!-- If no cloud physics is used, rho_surface has not been calculated before
655	IF ( .NOT. cloud_physics ) THEN
656	rho_surface = surface_pressure * 100.0_wp / ( r_d * pt_surface * exn )
657	ENDIF
658
659	!
660	!-- Calculate frequently used parameters
661	rho_cp = cp * rho_surface
662	rd_d_rv = r_d / r_v
663	rho_lv = rho_surface * l_v
664	drho_l_lv = 1.0_wp / (rho_l * l_v)
665
666	!
667	!-- Set inital values for prognostic quantities
668	tt_surface_m = 0.0_wp
669	tt_soil_m = 0.0_wp
670	tm_liq_eb_m = 0.0_wp
671	c_liq = 0.0_wp
672
673	ghf_eb = 0.0_wp
674	shf_eb = rho_cp * shf
675
676	IF ( humidity ) THEN
677	qsws_eb = rho_l * l_v * qsws
678	ELSE
679	qsws_eb = 0.0_wp
680	ENDIF
681
682	qsws_liq_eb = 0.0_wp
683	qsws_soil_eb = qsws_eb
684	qsws_veg_eb = 0.0_wp
685
686	r_a = 50.0_wp
687	r_s = 50.0_wp
688	r_canopy = 0.0_wp
689	r_soil = 0.0_wp
690
691	!
692	!-- Allocate 3D soil model arrays
693	ALLOCATE ( root_fr(nzb_soil:nzt_soil,nysg:nyng,nxlg:nxrg) )
694	ALLOCATE ( lambda_h(nzb_soil:nzt_soil,nysg:nyng,nxlg:nxrg) )
695	ALLOCATE ( rho_c_total(nzb_soil:nzt_soil,nysg:nyng,nxlg:nxrg) )
696
697	lambda_h = 0.0_wp
698	!
699	!-- If required, allocate humidity-related variables for the soil model
700	IF ( humidity ) THEN
701	ALLOCATE ( lambda_w(nzb_soil:nzt_soil,nysg:nyng,nxlg:nxrg) )
702	ALLOCATE ( gamma_w(nzb_soil:nzt_soil,nysg:nyng,nxlg:nxrg) )
703
704	lambda_w = 0.0_wp
705	ENDIF
706
707	!
708	!-- Calculate grid spacings. Temperature and moisture are defined at
709	!-- the edges of the soil layers (_stag), whereas gradients/fluxes are defined
710	!-- at the centers
711	dz_soil(nzb_soil) = zs(nzb_soil)
712
713	DO k = nzb_soil+1, nzt_soil
714	dz_soil(k) = zs(k) - zs(k-1)
715	ENDDO
716	dz_soil(nzt_soil+1) = dz_soil(nzt_soil)
717
718	DO k = nzb_soil, nzt_soil-1
719	dz_soil_stag(k) = 0.5_wp * (dz_soil(k+1) + dz_soil(k))
720	ENDDO
721	dz_soil_stag(nzt_soil) = dz_soil(nzt_soil)
722
723	ddz_soil = 1.0_wp / dz_soil
724	ddz_soil_stag = 1.0_wp / dz_soil_stag
725
726	!
727	!-- Initialize standard soil types. It is possible to overwrite each
728	!-- parameter by setting the respecticy NAMELIST variable to a
729	!-- value /= 9999999.9.
730	IF ( soil_type /= 0 ) THEN
731
732	IF ( alpha_vangenuchten == 9999999.9_wp ) THEN
733	alpha_vangenuchten = soil_pars(0,soil_type)
734	ENDIF
735
736	IF ( l_vangenuchten == 9999999.9_wp ) THEN
737	l_vangenuchten = soil_pars(1,soil_type)
738	ENDIF
739
740	IF ( n_vangenuchten == 9999999.9_wp ) THEN
741	n_vangenuchten = soil_pars(2,soil_type)
742	ENDIF
743
744	IF ( hydraulic_conductivity == 9999999.9_wp ) THEN
745	hydraulic_conductivity = soil_pars(3,soil_type)
746	ENDIF
747
748	IF ( saturation_moisture == 9999999.9_wp ) THEN
749	saturation_moisture = m_soil_pars(0,soil_type)
750	ENDIF
751
752	IF ( field_capacity == 9999999.9_wp ) THEN
753	field_capacity = m_soil_pars(1,soil_type)
754	ENDIF
755
756	IF ( wilting_point == 9999999.9_wp ) THEN
757	wilting_point = m_soil_pars(2,soil_type)
758	ENDIF
759
760	IF ( residual_moisture == 9999999.9_wp ) THEN
761	residual_moisture = m_soil_pars(3,soil_type)
762	ENDIF
763
764	ENDIF
765
766	alpha_vg = alpha_vangenuchten
767	l_vg = l_vangenuchten
768	n_vg = n_vangenuchten
769	gamma_w_sat = hydraulic_conductivity
770	m_sat = saturation_moisture
771	m_fc = field_capacity
772	m_wilt = wilting_point
773	m_res = residual_moisture
774	r_soil_min = min_soil_resistance
775
776	!
777	!-- Initial run actions
778	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
779
780	t_soil = 0.0_wp
781	m_liq_eb = 0.0_wp
782	m_soil = 0.0_wp
783
784	!
785	!-- Map user settings of T and q for each soil layer
786	!-- (make sure that the soil moisture does not drop below the permanent
787	!-- wilting point) -> problems with devision by zero)
788	DO k = nzb_soil, nzt_soil
789	t_soil(k,:,:) = soil_temperature(k)
790	m_soil(k,:,:) = MAX(soil_moisture(k),m_wilt(:,:))
791	soil_moisture(k) = MAX(soil_moisture(k),wilting_point)
792	ENDDO
793	t_soil(nzt_soil+1,:,:) = soil_temperature(nzt_soil+1)
794
795	!
796	!-- Calculate surface temperature
797	t_surface = pt_surface * exn
798
799	!
800	!-- Set artifical values for ts and us so that r_a has its initial value for
801	!-- the first time step
802	DO i = nxlg, nxrg
803	DO j = nysg, nyng
804	k = nzb_s_inner(j,i)
805
806	IF ( cloud_physics ) THEN
807	pt1 = pt(k+1,j,i) + l_d_cp * pt_d_t(k+1) * ql(k+1,j,i)
808	ELSE
809	pt1 = pt(k+1,j,i)
810	ENDIF
811
812	!
813	!-- Assure that r_a cannot be zero at model start
814	IF ( pt1 == pt(k,j,i) ) pt1 = pt1 + 1.0E-10_wp
815
816	us(j,i) = 0.1_wp
817	ts(j,i) = (pt1 - pt(k,j,i)) / r_a(j,i)
818	shf(j,i) = - us(j,i) * ts(j,i)
819	ENDDO
820	ENDDO
821
822	!
823	!-- Actions for restart runs
824	ELSE
825
826	DO i = nxlg, nxrg
827	DO j = nysg, nyng
828	k = nzb_s_inner(j,i)
829	t_surface(j,i) = pt(k,j,i) * exn
830	ENDDO
831	ENDDO
832
833	ENDIF
834
835	DO k = nzb_soil, nzt_soil
836	root_fr(k,:,:) = root_fraction(k)
837	ENDDO
838
839	IF ( veg_type /= 0 ) THEN
840	IF ( min_canopy_resistance == 9999999.9_wp ) THEN
841	min_canopy_resistance = veg_pars(0,veg_type)
842	ENDIF
843	IF ( leaf_area_index == 9999999.9_wp ) THEN
844	leaf_area_index = veg_pars(1,veg_type)
845	ENDIF
846	IF ( vegetation_coverage == 9999999.9_wp ) THEN
847	vegetation_coverage = veg_pars(2,veg_type)
848	ENDIF
849	IF ( canopy_resistance_coefficient == 9999999.9_wp ) THEN
850	canopy_resistance_coefficient= veg_pars(3,veg_type)
851	ENDIF
852	IF ( lambda_surface_stable == 9999999.9_wp ) THEN
853	lambda_surface_stable = surface_pars(0,veg_type)
854	ENDIF
855	IF ( lambda_surface_unstable == 9999999.9_wp ) THEN
856	lambda_surface_unstable = surface_pars(1,veg_type)
857	ENDIF
858	IF ( f_shortwave_incoming == 9999999.9_wp ) THEN
859	f_shortwave_incoming = surface_pars(2,veg_type)
860	ENDIF
861	IF ( z0_eb == 9999999.9_wp ) THEN
862	roughness_length = roughness_par(0,veg_type)
863	z0_eb = roughness_par(0,veg_type)
864	ENDIF
865	IF ( z0h_eb == 9999999.9_wp ) THEN
866	z0h_eb = roughness_par(1,veg_type)
867	ENDIF
868	z0h_factor = z0h_eb / z0_eb
869
870	IF ( ANY( root_fraction == 9999999.9_wp ) ) THEN
871	DO k = nzb_soil, nzt_soil
872	root_fr(k,:,:) = root_distribution(k,veg_type)
873	root_fraction(k) = root_distribution(k,veg_type)
874	ENDDO
875	ENDIF
876
877	ELSE
878
879	IF ( z0_eb == 9999999.9_wp ) THEN
880	z0_eb = roughness_length
881	ENDIF
882	IF ( z0h_eb == 9999999.9_wp ) THEN
883	z0h_eb = z0_eb * z0h_factor
884	ENDIF
885
886	ENDIF
887
888	!
889	!-- Initialize vegetation
890	r_canopy_min = min_canopy_resistance
891	lai = leaf_area_index
892	c_veg = vegetation_coverage
893	g_d = canopy_resistance_coefficient
894	lambda_surface_s = lambda_surface_stable
895	lambda_surface_u = lambda_surface_unstable
896	f_sw_in = f_shortwave_incoming
897	z0 = z0_eb
898	z0h = z0h_eb
899
900	!
901	!-- Possibly do user-defined actions (e.g. define heterogeneous land surface)
902	CALL user_init_land_surface
903
904
905	t_soil_p = t_soil
906	m_soil_p = m_soil
907	m_liq_eb_p = m_liq_eb
908	t_surface_p = t_surface
909
910
911
912	!-- Store initial profiles of t_soil and m_soil (assuming they are
913	!-- horizontally homogeneous on this PE)
914	hom(nzb_soil:nzt_soil,1,90,:) = SPREAD( t_soil(nzb_soil:nzt_soil, &
915	nysg,nxlg), 2, &
916	statistic_regions+1 )
917	hom(nzb_soil:nzt_soil,1,92,:) = SPREAD( m_soil(nzb_soil:nzt_soil, &
918	nysg,nxlg), 2, &
919	statistic_regions+1 )
920
921	!
922	!-- Add timeseries for land surface model
923	dots_soil = dots_num + 1
924	dots_num = dots_num + 8
925
926	dots_label(dots_soil) = "ghf_eb"
927	dots_label(dots_soil+1) = "shf_eb"
928	dots_label(dots_soil+2) = "qsws_eb"
929	dots_label(dots_soil+3) = "qsws_liq_eb"
930	dots_label(dots_soil+4) = "qsws_soil_eb"
931	dots_label(dots_soil+5) = "qsws_veg_eb"
932	dots_label(dots_soil+6) = "r_a"
933	dots_label(dots_soil+7) = "r_s"
934
935	dots_unit(dots_soil:dots_soil+5) = "W/m2"
936	dots_unit(dots_soil+6:dots_soil+7) = "s/m"
937
938
939	END SUBROUTINE init_lsm
940
941
942
943	!------------------------------------------------------------------------------!
944	! Description:
945	! ------------
946	!> Solver for the energy balance at the surface.
947	!------------------------------------------------------------------------------!
948	SUBROUTINE lsm_energy_balance
949
950
951	IMPLICIT NONE
952
953	INTEGER(iwp) :: i !< running index
954	INTEGER(iwp) :: j !< running index
955	INTEGER(iwp) :: k, ks !< running index
956
957	REAL(wp) :: f1, & !< resistance correction term 1
958	f2, & !< resistance correction term 2
959	f3, & !< resistance correction term 3
960	m_min, & !< minimum soil moisture
961	e, & !< water vapour pressure
962	e_s, & !< water vapour saturation pressure
963	e_s_dt, & !< derivate of e_s with respect to T
964	tend, & !< tendency
965	dq_s_dt, & !< derivate of q_s with respect to T
966	coef_1, & !< coef. for prognostic equation
967	coef_2, & !< coef. for prognostic equation
968	f_qsws, & !< factor for qsws_eb
969	f_qsws_veg, & !< factor for qsws_veg_eb
970	f_qsws_soil, & !< factor for qsws_soil_eb
971	f_qsws_liq, & !< factor for qsws_liq_eb
972	f_shf, & !< factor for shf_eb
973	lambda_surface, & !< Current value of lambda_surface
974	m_liq_eb_max, & !< maxmimum value of the liq. water reservoir
975	pt1, & !< potential temperature at first grid level
976	qv1 !< specific humidity at first grid level
977
978	!
979	!-- Calculate the exner function for the current time step
980	exn = ( surface_pressure / 1000.0_wp )**0.286_wp
981
982	DO i = nxlg, nxrg
983	DO j = nysg, nyng
984	k = nzb_s_inner(j,i)
985
986	!
987	!-- Set lambda_surface according to stratification
988	IF ( ol(j,i) >= 0.0_wp ) THEN
989	lambda_surface = lambda_surface_s(j,i)
990	ELSE
991	lambda_surface = lambda_surface_u(j,i)
992	ENDIF
993
994	!
995	!-- First step: calculate aerodyamic resistance. As pt, us, ts
996	!-- are not available for the prognostic time step, data from the last
997	!-- time step is used here. Note that this formulation is the
998	!-- equivalent to the ECMWF formulation using drag coefficients
999	IF ( cloud_physics ) THEN
1000	pt1 = pt(k+1,j,i) + l_d_cp * pt_d_t(k+1) * ql(k+1,j,i)
1001	qv1 = q(k+1,j,i) - ql(k+1,j,i)
1002	ELSE
1003	pt1 = pt(k+1,j,i)
1004	qv1 = q(k+1,j,i)
1005	ENDIF
1006
1007	r_a(j,i) = (pt1 - pt(k,j,i)) / (ts(j,i) * us(j,i) + 1.0E-20_wp)
1008
1009	!
1010	!-- Make sure that the resistance does not drop to zero
1011	IF ( ABS(r_a(j,i)) < 1.0E-10_wp ) r_a(j,i) = 1.0E-10_wp
1012
1013	!
1014	!-- Second step: calculate canopy resistance r_canopy
1015	!-- f1-f3 here are defined as 1/f1-f3 as in ECMWF documentation
1016
1017	!-- f1: correction for incoming shortwave radiation (stomata close at
1018	!-- night)
1019	IF ( radiation_scheme /= 'constant' ) THEN
1020	f1 = MIN( 1.0_wp, ( 0.004_wp * rad_sw_in(k,j,i) + 0.05_wp ) / &
1021	(0.81_wp * (0.004_wp * rad_sw_in(k,j,i) &
1022	+ 1.0_wp)) )
1023	ELSE
1024	f1 = 1.0_wp
1025	ENDIF
1026
1027
1028	!
1029	!-- f2: correction for soil moisture availability to plants (the
1030	!-- integrated soil moisture must thus be considered here)
1031	!-- f2 = 0 for very dry soils
1032	m_total = 0.0_wp
1033	DO ks = nzb_soil, nzt_soil
1034	m_total = m_total + root_fr(ks,j,i) &
1035	* MAX(m_soil(ks,j,i),m_wilt(j,i))
1036	ENDDO
1037
1038	IF ( m_total > m_wilt(j,i) .AND. m_total < m_fc(j,i) ) THEN
1039	f2 = ( m_total - m_wilt(j,i) ) / (m_fc(j,i) - m_wilt(j,i) )
1040	ELSEIF ( m_total >= m_fc(j,i) ) THEN
1041	f2 = 1.0_wp
1042	ELSE
1043	f2 = 1.0E-20_wp
1044	ENDIF
1045
1046	!
1047	!-- Calculate water vapour pressure at saturation
1048	e_s = 0.01_wp * 610.78_wp * EXP( 17.269_wp * ( t_surface(j,i) &
1049	- 273.16_wp ) / ( t_surface(j,i) - 35.86_wp ) )
1050
1051	!
1052	!-- f3: correction for vapour pressure deficit
1053	IF ( g_d(j,i) /= 0.0_wp ) THEN
1054	!
1055	!-- Calculate vapour pressure
1056	e = qv1 * surface_pressure / 0.622_wp
1057	f3 = EXP ( -g_d(j,i) * (e_s - e) )
1058	ELSE
1059	f3 = 1.0_wp
1060	ENDIF
1061
1062	!
1063	!-- Calculate canopy resistance. In case that c_veg is 0 (bare soils),
1064	!-- this calculation is obsolete, as r_canopy is not used below.
1065	!-- To do: check for very dry soil -> r_canopy goes to infinity
1066	r_canopy(j,i) = r_canopy_min(j,i) / (lai(j,i) * f1 * f2 * f3 &
1067	+ 1.0E-20_wp)
1068
1069	!
1070	!-- Third step: calculate bare soil resistance r_soil. The Clapp &
1071	!-- Hornberger parametrization does not consider c_veg.
1072	IF ( soil_type /= 7 ) THEN
1073	m_min = c_veg(j,i) * m_wilt(j,i) + (1.0_wp - c_veg(j,i)) * &
1074	m_res(j,i)
1075	ELSE
1076	m_min = m_wilt(j,i)
1077	ENDIF
1078
1079	f2 = ( m_soil(nzb_soil,j,i) - m_min ) / ( m_fc(j,i) - m_min )
1080	f2 = MAX(f2,1.0E-20_wp)
1081	f2 = MIN(f2,1.0_wp)
1082
1083	r_soil(j,i) = r_soil_min(j,i) / f2
1084
1085	!
1086	!-- Calculate fraction of liquid water reservoir
1087	m_liq_eb_max = m_max_depth * lai(j,i)
1088	c_liq(j,i) = MIN(1.0_wp, m_liq_eb(j,i) / (m_liq_eb_max+1.0E-20_wp))
1089
1090
1091	!
1092	!-- Calculate saturation specific humidity
1093	q_s = 0.622_wp * e_s / surface_pressure
1094
1095	!
1096	!-- In case of dewfall, set evapotranspiration to zero
1097	!-- All super-saturated water is then removed from the air
1098	IF ( humidity .AND. q_s <= qv1 ) THEN
1099	r_canopy(j,i) = 0.0_wp
1100	r_soil(j,i) = 0.0_wp
1101	ENDIF
1102
1103	!
1104	!-- Calculate coefficients for the total evapotranspiration
1105	f_qsws_veg = rho_lv * c_veg(j,i) * (1.0_wp - c_liq(j,i))/ &
1106	(r_a(j,i) + r_canopy(j,i))
1107
1108	f_qsws_soil = rho_lv * (1.0_wp - c_veg(j,i)) / (r_a(j,i) + &
1109	r_soil(j,i))
1110	f_qsws_liq = rho_lv * c_veg(j,i) * c_liq(j,i) / r_a(j,i)
1111
1112
1113	!
1114	!-- If soil moisture is below wilting point, plants do no longer
1115	!-- transpirate.
1116	! IF ( m_soil(k,j,i) < m_wilt(j,i) ) THEN
1117	! f_qsws_veg = 0.0_wp
1118	! ENDIF
1119
1120	!
1121	!-- If dewfall is deactivated, vegetation, soil and liquid water
1122	!-- reservoir are not allowed to take up water from the super-saturated
1123	!-- air.
1124	IF ( humidity .AND. q_s <= qv1 .AND. .NOT. dewfall ) THEN
1125	f_qsws_veg = 0.0_wp
1126	f_qsws_soil = 0.0_wp
1127	f_qsws_liq = 0.0_wp
1128	ENDIF
1129
1130	f_shf = rho_cp / r_a(j,i)
1131	f_qsws = f_qsws_veg + f_qsws_soil + f_qsws_liq
1132
1133	!
1134	!-- Calculate derivative of q_s for Taylor series expansion
1135	e_s_dt = e_s * ( 17.269_wp / (t_surface(j,i) - 35.86_wp) - &
1136	17.269_wp*(t_surface(j,i) - 273.16_wp) &
1137	/ (t_surface(j,i) - 35.86_wp)**2 )
1138
1139	dq_s_dt = 0.622_wp * e_s_dt / surface_pressure
1140
1141	!
1142	!-- Add LW up so that it can be removed in prognostic equation
1143	rad_net_l(j,i) = rad_net(j,i) + rad_lw_out(nzb,j,i)
1144
1145	IF ( humidity ) THEN
1146	#if defined ( __rrtmg )
1147	!
1148	!-- Numerator of the prognostic equation
1149	coef_1 = rad_net_l(j,i) + rad_lw_out_change_0(j,i) &
1150	* t_surface(j,i) - rad_lw_out(nzb,j,i) &
1151	+ f_shf * pt1 + f_qsws * ( qv1 - q_s &
1152	+ dq_s_dt * t_surface(j,i) ) + lambda_surface &
1153	* t_soil(nzb_soil,j,i)
1154
1155	!
1156	!-- Denominator of the prognostic equation
1157	coef_2 = rad_lw_out_change_0(j,i) + f_qsws * dq_s_dt &
1158	+ lambda_surface + f_shf / exn
1159	#else
1160
1161	!
1162	!-- Numerator of the prognostic equation
1163	coef_1 = rad_net_l(j,i) + 3.0_wp * sigma_sb &
1164	* t_surface(j,i) ** 4 &
1165	+ f_shf * pt1 + f_qsws * ( qv1 &
1166	- q_s + dq_s_dt * t_surface(j,i) ) &
1167	+ lambda_surface * t_soil(nzb_soil,j,i)
1168
1169	!
1170	!-- Denominator of the prognostic equation
1171	coef_2 = 4.0_wp * sigma_sb * t_surface(j,i) ** 3 + f_qsws &
1172	* dq_s_dt + lambda_surface + f_shf / exn
1173
1174	#endif
1175	ELSE
1176
1177	#if defined ( __rrtmg )
1178	!
1179	!-- Numerator of the prognostic equation
1180	coef_1 = rad_net_l(j,i) + rad_lw_out_change_0(j,i) &
1181	* t_surface(j,i) - rad_lw_out(nzb,j,i) &
1182	+ f_shf * pt1 + lambda_surface &
1183	* t_soil(nzb_soil,j,i)
1184
1185	!
1186	!-- Denominator of the prognostic equation
1187	coef_2 = rad_lw_out_change_0(j,i) + lambda_surface + f_shf / exn
1188	#else
1189
1190	!
1191	!-- Numerator of the prognostic equation
1192	coef_1 = rad_net_l(j,i) + 3.0_wp * sigma_sb &
1193	* t_surface(j,i) ** 4 + f_shf * pt1 &
1194	+ lambda_surface * t_soil(nzb_soil,j,i)
1195
1196	!
1197	!-- Denominator of the prognostic equation
1198	coef_2 = 4.0_wp * sigma_sb * t_surface(j,i) ** 3 &
1199	+ lambda_surface + f_shf / exn
1200	#endif
1201	ENDIF
1202
1203	tend = 0.0_wp
1204
1205	!
1206	!-- Implicit solution when the surface layer has no heat capacity,
1207	!-- otherwise use RK3 scheme.
1208	t_surface_p(j,i) = ( coef_1 * dt_3d * tsc(2) + c_surface * &
1209	t_surface(j,i) ) / ( c_surface + coef_2 * dt_3d&
1210	* tsc(2) )
1211	!
1212	!-- Add RK3 term
1213	IF ( c_surface /= 0.0_wp ) THEN
1214
1215	t_surface_p(j,i) = t_surface_p(j,i) + dt_3d * tsc(3) &
1216	* tt_surface_m(j,i)
1217
1218	!
1219	!-- Calculate true tendency
1220	tend = (t_surface_p(j,i) - t_surface(j,i) - dt_3d * tsc(3) &
1221	* tt_surface_m(j,i)) / (dt_3d * tsc(2))
1222	!
1223	!-- Calculate t_surface tendencies for the next Runge-Kutta step
1224	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1225	IF ( intermediate_timestep_count == 1 ) THEN
1226	tt_surface_m(j,i) = tend
1227	ELSEIF ( intermediate_timestep_count < &
1228	intermediate_timestep_count_max ) THEN
1229	tt_surface_m(j,i) = -9.5625_wp * tend + 5.3125_wp &
1230	* tt_surface_m(j,i)
1231	ENDIF
1232	ENDIF
1233
1234	ENDIF
1235
1236	!
1237	!-- In case of fast changes in the skin temperature, it is required to
1238	!-- update the radiative fluxes in order to keep the solution stable
1239	IF ( ABS( t_surface_p(j,i) - t_surface(j,i) ) > 0.2_wp ) THEN
1240	force_radiation_call_l = .TRUE.
1241	ENDIF
1242
1243	pt(k,j,i) = t_surface_p(j,i) / exn
1244
1245	!
1246	!-- Calculate fluxes
1247	#if defined ( __rrtmg )
1248	rad_net_l(j,i) = rad_net_l(j,i) + rad_lw_out_change_0(j,i) &
1249	* t_surface(j,i) - rad_lw_out(nzb,j,i) &
1250	- rad_lw_out_change_0(j,i) * t_surface_p(j,i)
1251
1252	IF ( rrtm_idrv == 1 ) THEN
1253	rad_net(j,i) = rad_net_l(j,i)
1254	rad_lw_out(nzb,j,i) = rad_lw_out(nzb,j,i) &
1255	+ rad_lw_out_change_0(j,i) &
1256	* ( t_surface_p(j,i) - t_surface(j,i) )
1257	ENDIF
1258	#else
1259	rad_net_l(j,i) = rad_net_l(j,i) + 3.0_wp * sigma_sb &
1260	* t_surface(j,i)*4 - 4.0_wp sigma_sb &
1261	* t_surface(j,i)*3 t_surface_p(j,i)
1262	#endif
1263
1264
1265	ghf_eb(j,i) = lambda_surface * (t_surface_p(j,i) &
1266	- t_soil(nzb_soil,j,i))
1267
1268	shf_eb(j,i) = - f_shf * ( pt1 - pt(k,j,i) )
1269
1270	shf(j,i) = shf_eb(j,i) / rho_cp
1271
1272	IF ( humidity ) THEN
1273	qsws_eb(j,i) = - f_qsws * ( qv1 - q_s + dq_s_dt &
1274	* t_surface(j,i) - dq_s_dt * t_surface_p(j,i) )
1275
1276	qsws(j,i) = qsws_eb(j,i) / rho_lv
1277
1278	qsws_veg_eb(j,i) = - f_qsws_veg * ( qv1 - q_s &
1279	+ dq_s_dt * t_surface(j,i) - dq_s_dt &
1280	* t_surface_p(j,i) )
1281
1282	qsws_soil_eb(j,i) = - f_qsws_soil * ( qv1 - q_s &
1283	+ dq_s_dt * t_surface(j,i) - dq_s_dt &
1284	* t_surface_p(j,i) )
1285
1286	qsws_liq_eb(j,i) = - f_qsws_liq * ( qv1 - q_s &
1287	+ dq_s_dt * t_surface(j,i) - dq_s_dt &
1288	* t_surface_p(j,i) )
1289	ENDIF
1290	!
1291	!-- Calculate the true surface resistance
1292	IF ( qsws_eb(j,i) == 0.0_wp ) THEN
1293	r_s(j,i) = 1.0E10_wp
1294	ELSE
1295	r_s(j,i) = - rho_lv * ( qv1 - q_s + dq_s_dt &
1296	* t_surface(j,i) - dq_s_dt * t_surface_p(j,i) ) &
1297	/ qsws_eb(j,i) - r_a(j,i)
1298	ENDIF
1299
1300	!
1301	!-- Calculate change in liquid water reservoir due to dew fall or
1302	!-- evaporation of liquid water
1303	IF ( humidity ) THEN
1304	!
1305	!-- If precipitation is activated, add rain water to qsws_liq_eb
1306	!-- and qsws_soil_eb according the the vegetation coverage.
1307	!-- precipitation_rate is given in mm.
1308	IF ( precipitation ) THEN
1309
1310	!
1311	!-- Add precipitation to liquid water reservoir, if possible.
1312	!-- Otherwise, add the water to bare soil fraction.
1313	IF ( m_liq_eb(j,i) /= m_liq_eb_max ) THEN
1314	qsws_liq_eb(j,i) = qsws_liq_eb(j,i) &
1315	+ c_veg(j,i) * prr(k,j,i) * hyrho(k) &
1316	* 0.001_wp * rho_l * l_v
1317	ELSE
1318	qsws_soil_eb(j,i) = qsws_soil_eb(j,i) &
1319	+ c_veg(j,i) * prr(k,j,i) * hyrho(k) &
1320	* 0.001_wp * rho_l * l_v
1321	ENDIF
1322
1323	!-- Add precipitation to bare soil according to the bare soil
1324	!-- coverage.
1325	qsws_soil_eb(j,i) = qsws_soil_eb(j,i) * (1.0_wp &
1326	- c_veg(j,i)) * prr(k,j,i) * hyrho(k) &
1327	* 0.001_wp * rho_l * l_v
1328	ENDIF
1329
1330	!
1331	!-- If the air is saturated, check the reservoir water level
1332	IF ( qsws_eb(j,i) < 0.0_wp ) THEN
1333
1334	!
1335	!-- Check if reservoir is full (avoid values > m_liq_eb_max)
1336	!-- In that case, qsws_liq_eb goes to qsws_soil_eb. In this
1337	!-- case qsws_veg_eb is zero anyway (because c_liq = 1),
1338	!-- so that tend is zero and no further check is needed
1339	IF ( m_liq_eb(j,i) == m_liq_eb_max ) THEN
1340	qsws_soil_eb(j,i) = qsws_soil_eb(j,i) &
1341	+ qsws_liq_eb(j,i)
1342	qsws_liq_eb(j,i) = 0.0_wp
1343	ENDIF
1344
1345	!
1346	!-- In case qsws_veg_eb becomes negative (unphysical behavior),
1347	!-- let the water enter the liquid water reservoir as dew on the
1348	!-- plant
1349	IF ( qsws_veg_eb(j,i) < 0.0_wp ) THEN
1350	qsws_liq_eb(j,i) = qsws_liq_eb(j,i) + qsws_veg_eb(j,i)
1351	qsws_veg_eb(j,i) = 0.0_wp
1352	ENDIF
1353	ENDIF
1354
1355	tend = - qsws_liq_eb(j,i) * drho_l_lv
1356
1357	m_liq_eb_p(j,i) = m_liq_eb(j,i) + dt_3d * ( tsc(2) * tend &
1358	+ tsc(3) * tm_liq_eb_m(j,i) )
1359
1360	!
1361	!-- Check if reservoir is overfull -> reduce to maximum
1362	!-- (conservation of water is violated here)
1363	m_liq_eb_p(j,i) = MIN(m_liq_eb_p(j,i),m_liq_eb_max)
1364
1365	!
1366	!-- Check if reservoir is empty (avoid values < 0.0)
1367	!-- (conservation of water is violated here)
1368	m_liq_eb_p(j,i) = MAX(m_liq_eb_p(j,i),0.0_wp)
1369
1370
1371	!
1372	!-- Calculate m_liq_eb tendencies for the next Runge-Kutta step
1373	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1374	IF ( intermediate_timestep_count == 1 ) THEN
1375	tm_liq_eb_m(j,i) = tend
1376	ELSEIF ( intermediate_timestep_count < &
1377	intermediate_timestep_count_max ) THEN
1378	tm_liq_eb_m(j,i) = -9.5625_wp * tend + 5.3125_wp &
1379	* tm_liq_eb_m(j,i)
1380	ENDIF
1381	ENDIF
1382
1383	ENDIF
1384
1385	ENDDO
1386	ENDDO
1387
1388	!
1389	!-- Make a logical OR for all processes. Force radiation call if at
1390	!-- least one processor
1391	IF ( intermediate_timestep_count == intermediate_timestep_count_max-1 ) &
1392	THEN
1393	#if defined( __parallel )
1394	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1395	CALL MPI_ALLREDUCE( force_radiation_call_l, force_radiation_call, &
1396	1, MPI_LOGICAL, MPI_LOR, comm2d, ierr )
1397	#else
1398	force_radiation_call = force_radiation_call_l
1399	#endif
1400	force_radiation_call_l = .FALSE.
1401	ENDIF
1402
1403
1404	END SUBROUTINE lsm_energy_balance
1405
1406
1407	!------------------------------------------------------------------------------!
1408	! Description:
1409	! ------------
1410	!> Soil model as part of the land surface model. The model predicts soil
1411	!> temperature and water content.
1412	!------------------------------------------------------------------------------!
1413	SUBROUTINE lsm_soil_model
1414
1415
1416	IMPLICIT NONE
1417
1418	INTEGER(iwp) :: i !< running index
1419	INTEGER(iwp) :: j !< running index
1420	INTEGER(iwp) :: k !< running index
1421
1422	REAL(wp) :: h_vg !< Van Genuchten coef. h
1423
1424	REAL(wp), DIMENSION(nzb_soil:nzt_soil) :: gamma_temp, & !< temp. gamma
1425	lambda_temp, & !< temp. lambda
1426	tend !< tendency
1427
1428	DO i = nxlg, nxrg
1429	DO j = nysg, nyng
1430	DO k = nzb_soil, nzt_soil
1431	!
1432	!-- Calculate volumetric heat capacity of the soil, taking into
1433	!-- account water content
1434	rho_c_total(k,j,i) = (rho_c_soil * (1.0_wp - m_sat(j,i)) &
1435	+ rho_c_water * m_soil(k,j,i))
1436
1437	!
1438	!-- Calculate soil heat conductivity at the center of the soil
1439	!-- layers
1440	lambda_h_sat = lambda_h_sm ** (1.0_wp - m_sat(j,i)) * &
1441	lambda_h_water ** m_soil(k,j,i)
1442
1443	ke = 1.0_wp + LOG10(MAX(0.1_wp,m_soil(k,j,i) / m_sat(j,i)))
1444
1445	lambda_temp(k) = ke * (lambda_h_sat - lambda_h_dry) + &
1446	lambda_h_dry
1447
1448	ENDDO
1449
1450	!
1451	!-- Calculate soil heat conductivity (lambda_h) at the _stag level
1452	!-- using linear interpolation
1453	DO k = nzb_soil, nzt_soil-1
1454	lambda_h(k,j,i) = ( lambda_temp(k+1) + lambda_temp(k) ) * 0.5_wp
1455	ENDDO
1456	lambda_h(nzt_soil,j,i) = lambda_temp(nzt_soil)
1457
1458	!
1459	!-- Prognostic equation for soil temperature t_soil
1460	tend(:) = 0.0_wp
1461	tend(nzb_soil) = (1.0_wp/rho_c_total(nzb_soil,j,i)) * &
1462	( lambda_h(nzb_soil,j,i) * ( t_soil(nzb_soil+1,j,i) &
1463	- t_soil(nzb_soil,j,i) ) * ddz_soil(nzb_soil+1) &
1464	+ ghf_eb(j,i) ) * ddz_soil_stag(nzb_soil)
1465
1466
1467
1468
1469	DO k = nzb_soil+1, nzt_soil
1470	tend(k) = (1.0_wp/rho_c_total(k,j,i)) &
1471	* ( lambda_h(k,j,i) &
1472	* ( t_soil(k+1,j,i) - t_soil(k,j,i) ) &
1473	* ddz_soil(k+1) &
1474	- lambda_h(k-1,j,i) &
1475	* ( t_soil(k,j,i) - t_soil(k-1,j,i) ) &
1476	* ddz_soil(k) &
1477	) * ddz_soil_stag(k)
1478	ENDDO
1479
1480	t_soil_p(nzb_soil:nzt_soil,j,i) = t_soil(nzb_soil:nzt_soil,j,i) &
1481	+ dt_3d * ( tsc(2) &
1482	* tend(:) + tsc(3) &
1483	* tt_soil_m(:,j,i) )
1484
1485	!
1486	!-- Calculate t_soil tendencies for the next Runge-Kutta step
1487	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1488	IF ( intermediate_timestep_count == 1 ) THEN
1489	DO k = nzb_soil, nzt_soil
1490	tt_soil_m(k,j,i) = tend(k)
1491	ENDDO
1492	ELSEIF ( intermediate_timestep_count < &
1493	intermediate_timestep_count_max ) THEN
1494	DO k = nzb_soil, nzt_soil
1495	tt_soil_m(k,j,i) = -9.5625_wp * tend(k) + 5.3125_wp &
1496	* tt_soil_m(k,j,i)
1497	ENDDO
1498	ENDIF
1499	ENDIF
1500
1501
1502	DO k = nzb_soil, nzt_soil
1503
1504	!
1505	!-- Calculate soil diffusivity at the center of the soil layers
1506	lambda_temp(k) = (- b_ch * gamma_w_sat(j,i) * psi_sat &
1507	/ m_sat(j,i) ) * ( MAX(m_soil(k,j,i), &
1508	m_wilt(j,i)) / m_sat(j,i) )**(b_ch + 2.0_wp)
1509
1510	!
1511	!-- Parametrization of Van Genuchten
1512	IF ( soil_type /= 7 ) THEN
1513	!
1514	!-- Calculate the hydraulic conductivity after Van Genuchten
1515	!-- (1980)
1516	h_vg = ( ( (m_res(j,i) - m_sat(j,i)) / ( m_res(j,i) - &
1517	MAX(m_soil(k,j,i),m_wilt(j,i)) ) )**(n_vg(j,i) &
1518	/ (n_vg(j,i)-1.0_wp)) - 1.0_wp &
1519	)**(1.0_wp/n_vg(j,i)) / alpha_vg(j,i)
1520
1521
1522	gamma_temp(k) = gamma_w_sat(j,i) * ( ( (1.0_wp + &
1523	(alpha_vg(j,i)h_vg)n_vg(j,i))*(1.0_wp &
1524	-1.0_wp/n_vg(j,i)) - (alpha_vg(j,i)*h_vg &
1525	)(n_vg(j,i)-1.0_wp))2 ) &
1526	/ ( (1.0_wp + (alpha_vg(j,i)*h_vg &
1527	)n_vg(j,i))((1.0_wp - 1.0_wp/n_vg(j,i)) &
1528	*(l_vg(j,i) + 2.0_wp)) )
1529
1530	!
1531	!-- Parametrization of Clapp & Hornberger
1532	ELSE
1533	gamma_temp(k) = gamma_w_sat(j,i) * (m_soil(k,j,i) &
1534	/ m_sat(j,i) )*(2.0_wp b_ch + 3.0_wp)
1535	ENDIF
1536
1537	ENDDO
1538
1539
1540	IF ( humidity ) THEN
1541	!
1542	!-- Calculate soil diffusivity (lambda_w) at the _stag level
1543	!-- using linear interpolation. To do: replace this with
1544	!-- ECMWF-IFS Eq. 8.81
1545	DO k = nzb_soil, nzt_soil-1
1546
1547	lambda_w(k,j,i) = ( lambda_temp(k+1) + lambda_temp(k) ) &
1548	* 0.5_wp
1549	gamma_w(k,j,i) = ( gamma_temp(k+1) + gamma_temp(k) ) &
1550	* 0.5_wp
1551
1552	ENDDO
1553
1554	!
1555	!
1556	!-- In case of a closed bottom (= water content is conserved), set
1557	!-- hydraulic conductivity to zero to that no water will be lost
1558	!-- in the bottom layer.
1559	IF ( conserve_water_content ) THEN
1560	gamma_w(nzt_soil,j,i) = 0.0_wp
1561	ELSE
1562	gamma_w(nzt_soil,j,i) = gamma_temp(nzt_soil)
1563	ENDIF
1564
1565	!-- The root extraction (= root_extr * qsws_veg_eb / (rho_l * l_v))
1566	!-- ensures the mass conservation for water. The transpiration of
1567	!-- plants equals the cumulative withdrawals by the roots in the
1568	!-- soil. The scheme takes into account the availability of water
1569	!-- in the soil layers as well as the root fraction in the
1570	!-- respective layer. Layer with moisture below wilting point will
1571	!-- not contribute, which reflects the preference of plants to
1572	!-- take water from moister layers.
1573
1574	!
1575	!-- Calculate the root extraction (ECMWF 7.69, the sum of root_extr
1576	!-- = 1). The energy balance solver guarantees a positive
1577	!-- transpiration, so that there is no need for an additional check.
1578	DO k = nzb_soil, nzt_soil
1579	IF ( m_soil(k,j,i) > m_wilt(j,i) ) THEN
1580	m_total = m_total + root_fr(k,j,i) * m_soil(k,j,i)
1581	ENDIF
1582	ENDDO
1583
1584	IF ( m_total > 0.0_wp ) THEN
1585	DO k = nzb_soil, nzt_soil
1586	IF ( m_soil(k,j,i) > m_wilt(j,i) ) THEN
1587	root_extr(k) = root_fr(k,j,i) * m_soil(k,j,i) / m_total
1588	ELSE
1589	root_extr(k) = 0.0_wp
1590	ENDIF
1591	ENDDO
1592	ENDIF
1593
1594	!
1595	!-- Prognostic equation for soil water content m_soil
1596	tend(:) = 0.0_wp
1597	tend(nzb_soil) = ( lambda_w(nzb_soil,j,i) * ( &
1598	m_soil(nzb_soil+1,j,i) - m_soil(nzb_soil,j,i) ) &
1599	* ddz_soil(nzb_soil+1) - gamma_w(nzb_soil,j,i) - ( &
1600	root_extr(nzb_soil) * qsws_veg_eb(j,i) &
1601	+ qsws_soil_eb(j,i) ) * drho_l_lv ) &
1602	* ddz_soil_stag(nzb_soil)
1603
1604	DO k = nzb_soil+1, nzt_soil-1
1605	tend(k) = ( lambda_w(k,j,i) * ( m_soil(k+1,j,i) &
1606	- m_soil(k,j,i) ) * ddz_soil(k+1) - gamma_w(k,j,i)&
1607	- lambda_w(k-1,j,i) * (m_soil(k,j,i) - &
1608	m_soil(k-1,j,i)) * ddz_soil(k) &
1609	+ gamma_w(k-1,j,i) - (root_extr(k) &
1610	* qsws_veg_eb(j,i) * drho_l_lv) &
1611	) * ddz_soil_stag(k)
1612
1613	ENDDO
1614	tend(nzt_soil) = ( - gamma_w(nzt_soil,j,i) &
1615	- lambda_w(nzt_soil-1,j,i) &
1616	* (m_soil(nzt_soil,j,i) &
1617	- m_soil(nzt_soil-1,j,i)) &
1618	* ddz_soil(nzt_soil) &
1619	+ gamma_w(nzt_soil-1,j,i) - ( &
1620	root_extr(nzt_soil) &
1621	* qsws_veg_eb(j,i) * drho_l_lv ) &
1622	) * ddz_soil_stag(nzt_soil)
1623
1624	m_soil_p(nzb_soil:nzt_soil,j,i) = m_soil(nzb_soil:nzt_soil,j,i)&
1625	+ dt_3d * ( tsc(2) * tend(:) &
1626	+ tsc(3) * tm_soil_m(:,j,i) )
1627
1628	!
1629	!-- Account for dry soils (find a better solution here!)
1630	m_soil_p(:,j,i) = MAX(m_soil_p(:,j,i),0.0_wp)
1631
1632	!
1633	!-- Calculate m_soil tendencies for the next Runge-Kutta step
1634	IF ( timestep_scheme(1:5) == 'runge' ) THEN
1635	IF ( intermediate_timestep_count == 1 ) THEN
1636	DO k = nzb_soil, nzt_soil
1637	tm_soil_m(k,j,i) = tend(k)
1638	ENDDO
1639	ELSEIF ( intermediate_timestep_count < &
1640	intermediate_timestep_count_max ) THEN
1641	DO k = nzb_soil, nzt_soil
1642	tm_soil_m(k,j,i) = -9.5625_wp * tend(k) + 5.3125_wp &
1643	* tm_soil_m(k,j,i)
1644	ENDDO
1645	ENDIF
1646	ENDIF
1647
1648	ENDIF
1649
1650	ENDDO
1651	ENDDO
1652
1653	!
1654	!-- Calculate surface specific humidity
1655	IF ( humidity ) THEN
1656	CALL calc_q_surface
1657	ENDIF
1658
1659
1660	END SUBROUTINE lsm_soil_model
1661
1662
1663	!------------------------------------------------------------------------------!
1664	! Description:
1665	! ------------
1666	!> Calculation of specific humidity of the surface layer (surface)
1667	!------------------------------------------------------------------------------!
1668	SUBROUTINE calc_q_surface
1669
1670	IMPLICIT NONE
1671
1672	INTEGER :: i !< running index
1673	INTEGER :: j !< running index
1674	INTEGER :: k !< running index
1675	REAL(wp) :: resistance !< aerodynamic and soil resistance term
1676
1677	DO i = nxlg, nxrg
1678	DO j = nysg, nyng
1679	k = nzb_s_inner(j,i)
1680
1681	!
1682	!-- Calculate water vapour pressure at saturation
1683	e_s = 0.01_wp * 610.78_wp * EXP( 17.269_wp * ( t_surface_p(j,i) &
1684	- 273.16_wp ) / ( t_surface_p(j,i) - 35.86_wp ) )
1685
1686	!
1687	!-- Calculate specific humidity at saturation
1688	q_s = 0.622_wp * e_s / surface_pressure
1689
1690	resistance = r_a(j,i) / (r_a(j,i) + r_s(j,i))
1691
1692	!
1693	!-- Calculate specific humidity at surface
1694	IF ( cloud_physics ) THEN
1695	q(k,j,i) = resistance * q_s + (1.0_wp - resistance) &
1696	* ( q(k+1,j,i) - ql(k+1,j,i) )
1697	ELSE
1698	q(k,j,i) = resistance * q_s + (1.0_wp - resistance) &
1699	* q(k+1,j,i)
1700	ENDIF
1701
1702	!
1703	!-- Update virtual potential temperature
1704	vpt(k,j,i) = pt(k,j,i) * ( 1.0_wp + 0.61_wp * q(k,j,i) )
1705
1706	ENDDO
1707	ENDDO
1708
1709	END SUBROUTINE calc_q_surface
1710
1711	!------------------------------------------------------------------------------!
1712	! Description:
1713	! ------------
1714	!> Swapping of timelevels
1715	!------------------------------------------------------------------------------!
1716	SUBROUTINE lsm_swap_timelevel ( mod_count )
1717
1718	IMPLICIT NONE
1719
1720	INTEGER, INTENT(IN) :: mod_count
1721
1722	#if defined( __nopointer )
1723
1724	t_surface = t_surface_p
1725	t_soil = t_soil_p
1726	IF ( humidity ) THEN
1727	m_soil = m_soil_p
1728	m_liq_eb = m_liq_eb_p
1729	ENDIF
1730
1731	#else
1732
1733	SELECT CASE ( mod_count )
1734
1735	CASE ( 0 )
1736
1737	t_surface => t_surface_1; t_surface_p => t_surface_2
1738	t_soil => t_soil_1; t_soil_p => t_soil_2
1739	IF ( humidity ) THEN
1740	m_soil => m_soil_1; m_soil_p => m_soil_2
1741	m_liq_eb => m_liq_eb_1; m_liq_eb_p => m_liq_eb_2
1742	ENDIF
1743
1744
1745	CASE ( 1 )
1746
1747	t_surface => t_surface_2; t_surface_p => t_surface_1
1748	t_soil => t_soil_2; t_soil_p => t_soil_1
1749	IF ( humidity ) THEN
1750	m_soil => m_soil_2; m_soil_p => m_soil_1
1751	m_liq_eb => m_liq_eb_2; m_liq_eb_p => m_liq_eb_1
1752	ENDIF
1753
1754	END SELECT
1755	#endif
1756
1757	END SUBROUTINE lsm_swap_timelevel
1758
1759
1760	END MODULE land_surface_model_mod

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