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biometeorology_mod.f90 @ 3620

Last change on this file since 3620 was 3614, checked in by raasch, 5 years ago

unused variables removed, abort renamed inifor_abort to avoid intrinsic problem in Fortran

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/palm/branches/chemistry/SOURCE/biometeorology_mod.f90	2047-3190,3218-3297
/palm/branches/resler/SOURCE/biometeorology_mod.f90	2023-3320,3337-3474
/palm/branches/salsa/SOURCE/biometeorology_mod.f90	2503-3581
/palm/trunk/SOURCE/biometeorology_mod.f90	merged	eligible
/palm/branches/forwind/SOURCE/biometeorology_mod.f90	1564-1913
/palm/branches/fricke/SOURCE/biometeorology_mod.f90	942-977
/palm/branches/hoffmann/SOURCE/biometeorology_mod.f90	989-1052
/palm/branches/letzel/masked_output/SOURCE/biometeorology_mod.f90	296-409
/palm/branches/palm4u/SOURCE/biometeorology_mod.f90	2540-2692
/palm/branches/rans/SOURCE/biometeorology_mod.f90	2078-3128
/palm/branches/suehring/biometeorology_mod.f90	423-666

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1	!> @file biometeorology_mod.f90
2	!--------------------------------------------------------------------------------!
3	! This file is part of PALM-4U.
4	!
5	! PALM-4U is free software: you can redistribute it and/or modify it under the
6	! terms of the GNU General Public License as published by the Free Software
7	! Foundation, either version 3 of the License, or (at your option) any later
8	! version.
9	!
10	! PALM-4U is distributed in the hope that it will be useful, but WITHOUT ANY
11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
13	!
14	! You should have received a copy of the GNU General Public License along with
15	! PALM. If not, see <http://www.gnu.org/licenses/>.
16	!
17	! Copyright 2018-2018 Deutscher Wetterdienst (DWD)
18	! Copyright 2018-2018 Institute of Computer Science, Academy of Sciences, Prague
19	! Copyright 2018-2018 Leibniz Universitaet Hannover
20	!--------------------------------------------------------------------------------!
21	!
22	! Current revisions:
23	! ------------------
24	!
25	!
26	! Former revisions:
27	! -----------------
28	! $Id: biometeorology_mod.f90 3614 2018-12-10 07:05:46Z moh.hefny $
29	! unused variables removed
30	!
31	! 3593 2018-12-03 13:51:13Z kanani
32	! Bugfix: additional tmrt_grid allocation in case bio_mrt not selected as ouput,
33	! replace degree symbol by degree_C
34	!
35	! 3582 2018-11-29 19:16:36Z suehring
36	! Consistently use bio_fill_value everywhere,
37	! move allocation and initialization of output variables to bio_check_data_output
38	! and bio_3d_data_averaging,
39	! dom_dwd_user, Schrempf:
40	! - integration of UVEM module part from r3474 (edited)
41	! - split UTCI regression into 6 parts
42	! - all data_output_3d is now explicity casted to sp
43	!
44	! 3525 2018-11-14 16:06:14Z kanani
45	! Clean up, renaming from "biom" to "bio", summary of thermal index calculation
46	! into one module (dom_dwd_user)
47	!
48	! 3479 2018-11-01 16:00:30Z gronemeier
49	! - reworked check for output quantities
50	! - assign new palm-error numbers
51	! - set unit according to data standard.
52	!
53	! 3475 2018-10-30 21:16:31Z kanani
54	! Add option for using MRT from RTM instead of simplified global value
55	!
56	! 3464 2018-10-30 18:08:55Z kanani
57	! From branch resler@3462, pavelkrc:
58	! make use of basic_constants_and_equations_mod
59	!
60	! 3448 2018-10-29 18:14:31Z kanani
61	! Initial revision
62	!
63	!
64	!
65	! Authors:
66	! --------
67	! @author Dominik Froehlich <dominik.froehlich@dwd.de>, thermal indices
68	! @author Jaroslav Resler <resler@cs.cas.cz>, mean radiant temperature
69	! @author Michael Schrempf <schrempf@muk.uni-hannover.de>, uv exposure
70	!
71	!
72	! Description:
73	! ------------
74	!> Biometeorology module consisting of two parts:
75	!> 1.: Human thermal comfort module calculating thermal perception of a sample
76	!> human being under the current meteorological conditions.
77	!> 2.: Calculation of vitamin-D weighted UV exposure
78	!>
79	!> @todo Alphabetical sorting of "USE ..." lists, "ONLY" list, variable declarations
80	!> (per subroutine: first all CHARACTERs, then INTEGERs, LOGICALs, REALs, )
81	!> @todo Comments start with capital letter --> "!-- Include..."
82	!> @todo uv_vitd3dose-->new output type necessary (cumulative)
83	!> @todo consider upwelling radiation in UV
84	!>
85	!> @note nothing now
86	!>
87	!> @bug no known bugs by now
88	!------------------------------------------------------------------------------!
89	MODULE biometeorology_mod
90
91	USE arrays_3d, &
92	ONLY: pt, p, u, v, w, q
93
94	USE averaging, &
95	ONLY: pt_av, q_av, u_av, v_av, w_av
96
97	USE basic_constants_and_equations_mod, &
98	ONLY: c_p, degc_to_k, l_v, magnus, sigma_sb, pi
99
100	USE control_parameters, &
101	ONLY: average_count_3d, biometeorology, dz, dz_stretch_factor, &
102	dz_stretch_level, humidity, initializing_actions, nz_do3d, &
103	simulated_time, surface_pressure
104
105	USE date_and_time_mod, &
106	ONLY: calc_date_and_time, day_of_year, time_utc
107
108	USE grid_variables, &
109	ONLY: ddx, dx, ddy, dy
110
111	USE indices, &
112	ONLY: nxl, nxr, nys, nyn, nzb, nzt, nys, nyn, nxl, nxr, nxlg, nxrg, &
113	nysg, nyng
114
115	USE kinds !< Set precision of INTEGER and REAL arrays according to PALM
116
117	USE netcdf_data_input_mod, &
118	ONLY: netcdf_data_input_uvem, uvem_projarea_f, uvem_radiance_f, &
119	uvem_irradiance_f, uvem_integration_f, building_obstruction_f
120	!
121	!-- Import radiation model to obtain input for mean radiant temperature
122	USE radiation_model_mod, &
123	ONLY: ix, iy, iz, id, mrt_nlevels, mrt_include_sw, &
124	mrtinsw, mrtinlw, mrtbl, nmrtbl, radiation, &
125	radiation_interactions, rad_sw_in, &
126	rad_sw_out, rad_lw_in, rad_lw_out
127
128	USE surface_mod, &
129	ONLY: get_topography_top_index_ji
130
131	IMPLICIT NONE
132
133	PRIVATE
134
135	!
136	!-- Declare all global variables within the module (alphabetical order)
137	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: tmrt_grid !< tmrt results (degree_C)
138	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: perct !< PT results (degree_C)
139	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: utci !< UTCI results (degree_C)
140	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: pet !< PET results (degree_C)
141	!
142	!-- Grids for averaged thermal indices
143	REAL(wp), DIMENSION(:), ALLOCATABLE :: mrt_av_grid !< time average mean
144	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: perct_av !< PT results (aver. input) (degree_C)
145	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: utci_av !< UTCI results (aver. input) (degree_C)
146	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: pet_av !< PET results (aver. input) (degree_C)
147
148
149	INTEGER( iwp ) :: bio_cell_level !< cell level biom calculates for
150	REAL ( wp ) :: bio_output_height !< height output is calculated in m
151	REAL ( wp ) :: time_bio_results !< the time, the last set of biom results have been calculated for
152	REAL ( wp ), PARAMETER :: human_absorb = 0.7_wp !< SW absorbtivity of a human body (Fanger 1972)
153	REAL ( wp ), PARAMETER :: human_emiss = 0.97_wp !< LW emissivity of a human body after (Fanger 1972)
154	REAL ( wp ), PARAMETER :: bio_fill_value = -9999._wp !< set module fill value, replace by global fill value as soon as available
155	!
156	!--
157	LOGICAL :: aver_perct = .FALSE. !< switch: do perct averaging in this module? (if .FALSE. this is done globally)
158	LOGICAL :: aver_q = .FALSE. !< switch: do e averaging in this module?
159	LOGICAL :: aver_u = .FALSE. !< switch: do u averaging in this module?
160	LOGICAL :: aver_v = .FALSE. !< switch: do v averaging in this module?
161	LOGICAL :: aver_w = .FALSE. !< switch: do w averaging in this module?
162	LOGICAL :: average_trigger_perct = .FALSE. !< update averaged input on call to bio_perct?
163	LOGICAL :: average_trigger_utci = .FALSE. !< update averaged input on call to bio_utci?
164	LOGICAL :: average_trigger_pet = .FALSE. !< update averaged input on call to bio_pet?
165
166	LOGICAL :: thermal_comfort = .TRUE. !< Turn all thermal indices on or off
167	LOGICAL :: bio_perct = .TRUE. !< Turn index PT (instant. input) on or off
168	LOGICAL :: bio_perct_av = .TRUE. !< Turn index PT (averaged input) on or off
169	LOGICAL :: bio_pet = .TRUE. !< Turn index PET (instant. input) on or off
170	LOGICAL :: bio_pet_av = .TRUE. !< Turn index PET (averaged input) on or off
171	LOGICAL :: bio_utci = .TRUE. !< Turn index UTCI (instant. input) on or off
172	LOGICAL :: bio_utci_av = .TRUE. !< Turn index UTCI (averaged input) on or off
173
174	!
175	!-- UVEM parameters from here
176	!
177	!-- Declare all global variables within the module (alphabetical order)
178	INTEGER(iwp) :: ai = 0 !< loop index in azimuth direction
179	INTEGER(iwp) :: bi = 0 !< loop index of bit location within an 8bit-integer (one Byte)
180	INTEGER(iwp) :: clothing = 1 !< clothing (0=unclothed, 1=Arms,Hands,Face free, 3=Hand,Face free)
181	INTEGER(iwp) :: iq = 0 !< loop index of irradiance quantity
182	INTEGER(iwp) :: pobi = 0 !< loop index of the position of corresponding byte within ibset byte vektor
183	INTEGER(iwp) :: obstruction_direct_beam = 0 !< Obstruction information for direct beam
184	INTEGER(iwp) :: zi = 0 !< loop index in zenith direction
185
186	INTEGER(KIND=1), DIMENSION(0:44) :: obstruction_temp1 = 0 !< temporary obstruction information stored with ibset
187	INTEGER(iwp), DIMENSION(0:359) :: obstruction_temp2 = 0 !< restored temporary obstruction information from ibset file
188
189	INTEGER(iwp), DIMENSION(0:35,0:9) :: obstruction = 1 !< final 2D obstruction information array
190
191	LOGICAL :: consider_obstructions = .TRUE. !< namelist parameter (see documentation)
192	LOGICAL :: sun_in_south = .FALSE. !< namelist parameter (see documentation)
193	LOGICAL :: turn_to_sun = .TRUE. !< namelist parameter (see documentation)
194	LOGICAL :: uv_exposure = .FALSE. !< namelist parameter (see documentation)
195
196	REAL(wp) :: diffuse_exposure = 0.0_wp !< calculated exposure by diffuse radiation
197	REAL(wp) :: direct_exposure = 0.0_wp !< calculated exposure by direct solar beam
198	REAL(wp) :: orientation_angle = 0.0_wp !< orientation of front/face of the human model
199	REAL(wp) :: projection_area_direct_beam = 0.0_wp !< projection area for direct solar beam
200	REAL(wp) :: saa = 180.0_wp !< solar azimuth angle
201	REAL(wp) :: startpos_human = 0.0_wp !< start value for azimuth interpolation of human geometry array
202	REAL(wp) :: startpos_saa_float = 0.0_wp !< start value for azimuth interpolation of radiance array
203	REAL(wp) :: sza = 20.0_wp !< solar zenith angle
204	REAL(wp) :: xfactor = 0.0_wp !< relative x-position used for interpolation
205	REAL(wp) :: yfactor = 0.0_wp !< relative y-position used for interpolation
206
207	REAL(wp), DIMENSION(0:2) :: irradiance = 0.0_wp !< iradiance values extracted from irradiance lookup table
208
209	REAL(wp), DIMENSION(0:2,0:90) :: irradiance_lookup_table = 0.0_wp !< irradiance lookup table
210	REAL(wp), DIMENSION(0:35,0:9) :: integration_array = 0.0_wp !< solid angle factors for hemispherical integration
211	REAL(wp), DIMENSION(0:35,0:9) :: projection_area = 0.0_wp !< projection areas of a human (all directions)
212	REAL(wp), DIMENSION(0:35,0:9) :: projection_area_lookup_table = 0.0_wp !< human geometry lookup table (projection areas)
213	REAL(wp), DIMENSION(0:71,0:9) :: projection_area_direct_temp = 0.0_wp !< temporary projection area for direct solar beam
214	REAL(wp), DIMENSION(0:71,0:9) :: projection_area_temp = 0.0_wp !< temporary projection area for all directions
215	REAL(wp), DIMENSION(0:35,0:9) :: radiance_array = 0.0_wp !< radiance extracted from radiance_lookup_table
216	REAL(wp), DIMENSION(0:71,0:9) :: radiance_array_temp = 0.0_wp !< temporary radiance data
217
218	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: vitd3_exposure !< result variable for instantaneous vitamin-D weighted exposures
219	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: vitd3_exposure_av !< result variable for summation of vitamin-D weighted exposures
220
221	REAL(wp), DIMENSION(0:35,0:9,0:90) :: radiance_lookup_table = 0.0_wp !< radiance lookup table
222
223	!
224	!-- INTERFACES that must be available to other modules (alphabetical order)
225
226	PUBLIC bio_3d_data_averaging, bio_check_data_output, &
227	bio_calculate_mrt_grid, bio_calculate_thermal_index_maps, bio_calc_ipt, &
228	bio_check_parameters, bio_data_output_3d, bio_data_output_2d, &
229	bio_define_netcdf_grid, bio_get_thermal_index_input_ij, bio_header, &
230	bio_init, bio_parin, bio_perct, bio_perct_av, bio_pet, &
231	bio_pet_av, bio_utci, bio_utci_av, thermal_comfort, time_bio_results, &
232	!
233	!-- UVEM PUBLIC variables and methods
234	uvem_calc_exposure, uv_exposure
235
236	!
237	!-- PALM interfaces:
238	!
239	!-- 3D averaging for HTCM _INPUT_ variables
240	INTERFACE bio_3d_data_averaging
241	MODULE PROCEDURE bio_3d_data_averaging
242	END INTERFACE bio_3d_data_averaging
243	!
244	!-- Calculate mtr from rtm fluxes and assign into 2D grid
245	INTERFACE bio_calculate_mrt_grid
246	MODULE PROCEDURE bio_calculate_mrt_grid
247	END INTERFACE bio_calculate_mrt_grid
248	!
249	!-- Calculate static thermal indices PT, UTCI and/or PET
250	INTERFACE bio_calculate_thermal_index_maps
251	MODULE PROCEDURE bio_calculate_thermal_index_maps
252	END INTERFACE bio_calculate_thermal_index_maps
253	!
254	!-- Calculate the dynamic index iPT (to be caled by the agent model)
255	INTERFACE bio_calc_ipt
256	MODULE PROCEDURE bio_calc_ipt
257	END INTERFACE bio_calc_ipt
258	!
259	!-- Data output checks for 2D/3D data to be done in check_parameters
260	INTERFACE bio_check_data_output
261	MODULE PROCEDURE bio_check_data_output
262	END INTERFACE bio_check_data_output
263	!
264	!-- Input parameter checks to be done in check_parameters
265	INTERFACE bio_check_parameters
266	MODULE PROCEDURE bio_check_parameters
267	END INTERFACE bio_check_parameters
268	!
269	!-- Data output of 2D quantities
270	INTERFACE bio_data_output_2d
271	MODULE PROCEDURE bio_data_output_2d
272	END INTERFACE bio_data_output_2d
273	!
274	!-- no 3D data, thus, no averaging of 3D data, removed
275	INTERFACE bio_data_output_3d
276	MODULE PROCEDURE bio_data_output_3d
277	END INTERFACE bio_data_output_3d
278	!
279	!-- Definition of data output quantities
280	INTERFACE bio_define_netcdf_grid
281	MODULE PROCEDURE bio_define_netcdf_grid
282	END INTERFACE bio_define_netcdf_grid
283	!
284	!-- Obtains all relevant input values to estimate local thermal comfort/stress
285	INTERFACE bio_get_thermal_index_input_ij
286	MODULE PROCEDURE bio_get_thermal_index_input_ij
287	END INTERFACE bio_get_thermal_index_input_ij
288	!
289	!-- Output of information to the header file
290	INTERFACE bio_header
291	MODULE PROCEDURE bio_header
292	END INTERFACE bio_header
293	!
294	!-- Initialization actions
295	INTERFACE bio_init
296	MODULE PROCEDURE bio_init
297	END INTERFACE bio_init
298	!
299	!-- Reading of NAMELIST parameters
300	INTERFACE bio_parin
301	MODULE PROCEDURE bio_parin
302	END INTERFACE bio_parin
303
304	!
305	!-- Calculate UV exposure grid
306	INTERFACE uvem_calc_exposure
307	MODULE PROCEDURE uvem_calc_exposure
308	END INTERFACE uvem_calc_exposure
309
310	CONTAINS
311
312
313	!------------------------------------------------------------------------------!
314	! Description:
315	! ------------
316	!> Sum up and time-average biom input quantities as well as allocate
317	!> the array necessary for storing the average.
318	!> There is a considerable difference to the 3d_data_averaging subroutines
319	!> used by other modules:
320	!> For the thermal indices, the module needs to average the input conditions
321	!> not the result!
322	!------------------------------------------------------------------------------!
323	SUBROUTINE bio_3d_data_averaging( mode, variable )
324
325	IMPLICIT NONE
326
327	CHARACTER (LEN=*) :: mode !< averaging mode: allocate, sum, or average
328	CHARACTER (LEN=*) :: variable !< The variable in question
329
330	INTEGER(iwp) :: i !< Running index, x-dir
331	INTEGER(iwp) :: j !< Running index, y-dir
332	INTEGER(iwp) :: k !< Running index, z-dir
333
334
335	IF ( mode == 'allocate' ) THEN
336
337	SELECT CASE ( TRIM( variable ) )
338
339	CASE ( 'bio_mrt' )
340	IF ( .NOT. ALLOCATED( mrt_av_grid ) ) THEN
341	ALLOCATE( mrt_av_grid(nmrtbl) )
342	ENDIF
343	mrt_av_grid = 0.0_wp
344
345	CASE ( 'bio_perct', 'bio_utci', 'bio_pet*' )
346
347	!
348	!-- Averaging, as well as the allocation of the required grids must be
349	! done only once, independent from for how many thermal indices
350	! averaged output is desired.
351	! Therefore wee need to memorize which index is the one that controls
352	! the averaging (what must be the first thermal index called).
353	! Indices are in unknown order as depending on the input file,
354	! determine first index to average und update only once
355
356	!-- Only proceed here if this was not done for any index before. This
357	! is done only once during the whole model run.
358	IF ( .NOT. average_trigger_perct .AND. &
359	.NOT. average_trigger_utci .AND. &
360	.NOT. average_trigger_pet ) THEN
361	!
362	!-- Allocate the required grids
363	IF ( .NOT. ALLOCATED( perct_av ) ) THEN
364	ALLOCATE( perct_av (nys:nyn,nxl:nxr) )
365	ENDIF
366	perct_av = REAL( bio_fill_value, KIND = wp )
367
368	IF ( .NOT. ALLOCATED( utci_av ) ) THEN
369	ALLOCATE( utci_av (nys:nyn,nxl:nxr) )
370	ENDIF
371	utci_av = REAL( bio_fill_value, KIND = wp )
372
373	IF ( .NOT. ALLOCATED( pet_av ) ) THEN
374	ALLOCATE( pet_av (nys:nyn,nxl:nxr) )
375	ENDIF
376	pet_av = REAL( bio_fill_value, KIND = wp )
377	!
378	!-- Memorize the first index called to control averaging
379	IF ( TRIM( variable ) == 'bio_perct*' ) THEN
380	average_trigger_perct = .TRUE.
381	ENDIF
382	IF ( TRIM( variable ) == 'bio_utci*' ) THEN
383	average_trigger_utci = .TRUE.
384	ENDIF
385	IF ( TRIM( variable ) == 'bio_pet*' ) THEN
386	average_trigger_pet = .TRUE.
387	ENDIF
388	ENDIF
389	!
390	!-- Only continue if var is the index, that controls averaging.
391	! Break immediatelly (doing nothing) for the other indices.
392	IF ( average_trigger_perct .AND. TRIM( variable ) /= 'bio_perct*') RETURN
393	IF ( average_trigger_utci .AND. TRIM( variable ) /= 'bio_utci*') RETURN
394	IF ( average_trigger_pet .AND. TRIM( variable ) /= 'bio_pet*') RETURN
395	!
396	!-- Now memorize which of the input grids are not averaged by other
397	! modules. Set averaging switch to .TRUE. in that case.
398	IF ( .NOT. ALLOCATED( pt_av ) ) THEN
399	ALLOCATE( pt_av(nzb:nzt+1,nys:nyn,nxl:nxr) )
400	aver_perct = .TRUE.
401	pt_av = 0.0_wp
402	ENDIF
403
404	IF ( .NOT. ALLOCATED( q_av ) ) THEN
405	ALLOCATE( q_av(nzb:nzt+1,nys:nyn,nxl:nxr) )
406	aver_q = .TRUE.
407	q_av = 0.0_wp
408	ENDIF
409
410	IF ( .NOT. ALLOCATED( u_av ) ) THEN
411	ALLOCATE( u_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
412	aver_u = .TRUE.
413	u_av = 0.0_wp
414	ENDIF
415
416	IF ( .NOT. ALLOCATED( v_av ) ) THEN
417	ALLOCATE( v_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
418	aver_v = .TRUE.
419	v_av = 0.0_wp
420	ENDIF
421
422	IF ( .NOT. ALLOCATED( w_av ) ) THEN
423	ALLOCATE( w_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
424	aver_w = .TRUE.
425	w_av = 0.0_wp
426	ENDIF
427
428	CASE ( 'uvem_vitd3dose*' )
429	IF ( .NOT. ALLOCATED( vitd3_exposure_av ) ) THEN
430	ALLOCATE( vitd3_exposure_av(nysg:nyng,nxlg:nxrg) )
431	ENDIF
432	vitd3_exposure_av = 0.0_wp
433
434	CASE DEFAULT
435	CONTINUE
436
437	END SELECT
438
439	ELSEIF ( mode == 'sum' ) THEN
440
441	SELECT CASE ( TRIM( variable ) )
442
443	CASE ( 'bio_mrt' )
444	IF ( ALLOCATED( mrt_av_grid ) ) THEN
445
446	IF ( mrt_include_sw ) THEN
447	mrt_av_grid(:) = mrt_av_grid(:) + &
448	(( human_absorb * mrtinsw(:) + human_emiss * mrtinlw(:)) &
449	/ (human_emiss * sigma_sb)) ** .25_wp - degc_to_k
450	ELSE
451	mrt_av_grid(:) = mrt_av_grid(:) + &
452	(human_emiss * mrtinlw(:) / sigma_sb) ** .25_wp &
453	- degc_to_k
454	ENDIF
455	ENDIF
456
457	CASE ( 'bio_perct', 'bio_utci', 'bio_pet*' )
458	!
459	!-- Only continue if updateindex, see above
460	IF ( average_trigger_perct .AND. TRIM( variable ) /= 'bio_perct*') &
461	RETURN
462	IF ( average_trigger_utci .AND. TRIM( variable ) /= 'bio_utci*') &
463	RETURN
464	IF ( average_trigger_pet .AND. TRIM( variable ) /= 'bio_pet*') &
465	RETURN
466
467	IF ( ALLOCATED( pt_av ) .AND. aver_perct ) THEN
468	DO i = nxl, nxr
469	DO j = nys, nyn
470	DO k = nzb, nzt+1
471	pt_av(k,j,i) = pt_av(k,j,i) + pt(k,j,i)
472	ENDDO
473	ENDDO
474	ENDDO
475	ENDIF
476
477	IF ( ALLOCATED( q_av ) .AND. aver_q ) THEN
478	DO i = nxl, nxr
479	DO j = nys, nyn
480	DO k = nzb, nzt+1
481	q_av(k,j,i) = q_av(k,j,i) + q(k,j,i)
482	ENDDO
483	ENDDO
484	ENDDO
485	ENDIF
486
487	IF ( ALLOCATED( u_av ) .AND. aver_u ) THEN
488	DO i = nxlg, nxrg !< yes, ghost points are required here!
489	DO j = nysg, nyng
490	DO k = nzb, nzt+1
491	u_av(k,j,i) = u_av(k,j,i) + u(k,j,i)
492	ENDDO
493	ENDDO
494	ENDDO
495	ENDIF
496
497	IF ( ALLOCATED( v_av ) .AND. aver_v ) THEN
498	DO i = nxlg, nxrg !< yes, ghost points are required here!
499	DO j = nysg, nyng
500	DO k = nzb, nzt+1
501	v_av(k,j,i) = v_av(k,j,i) + v(k,j,i)
502	ENDDO
503	ENDDO
504	ENDDO
505	ENDIF
506
507	IF ( ALLOCATED( w_av ) .AND. aver_w ) THEN
508	DO i = nxlg, nxrg !< yes, ghost points are required here!
509	DO j = nysg, nyng
510	DO k = nzb, nzt+1
511	w_av(k,j,i) = w_av(k,j,i) + w(k,j,i)
512	ENDDO
513	ENDDO
514	ENDDO
515	ENDIF
516	!
517	!-- This is a cumulated dose. No mode == 'average' for this quantity.
518	CASE ( 'uvem_vitd3dose*' )
519	IF ( ALLOCATED( vitd3_exposure_av ) ) THEN
520	DO i = nxlg, nxrg
521	DO j = nysg, nyng
522	vitd3_exposure_av(j,i) = vitd3_exposure_av(j,i) + vitd3_exposure(j,i)
523	ENDDO
524	ENDDO
525	ENDIF
526
527	CASE DEFAULT
528	CONTINUE
529
530	END SELECT
531
532	ELSEIF ( mode == 'average' ) THEN
533
534	SELECT CASE ( TRIM( variable ) )
535
536	CASE ( 'bio_mrt' )
537	IF ( ALLOCATED( mrt_av_grid ) ) THEN
538	mrt_av_grid(:) = mrt_av_grid(:) / REAL( average_count_3d, KIND=wp )
539	ENDIF
540
541	CASE ( 'bio_perct', 'bio_utci', 'bio_pet*' )
542	!
543	!-- Only continue if update index, see above
544	IF ( average_trigger_perct .AND. &
545	TRIM( variable ) /= 'bio_perct*' ) RETURN
546	IF ( average_trigger_utci .AND. &
547	TRIM( variable ) /= 'bio_utci*' ) RETURN
548	IF ( average_trigger_pet .AND. &
549	TRIM( variable ) /= 'bio_pet*' ) RETURN
550
551	IF ( ALLOCATED( pt_av ) .AND. aver_perct ) THEN
552	DO i = nxl, nxr
553	DO j = nys, nyn
554	DO k = nzb, nzt+1
555	pt_av(k,j,i) = pt_av(k,j,i) / &
556	REAL( average_count_3d, KIND=wp )
557	ENDDO
558	ENDDO
559	ENDDO
560	ENDIF
561
562	IF ( ALLOCATED( q_av ) .AND. aver_q ) THEN
563	DO i = nxl, nxr
564	DO j = nys, nyn
565	DO k = nzb, nzt+1
566	q_av(k,j,i) = q_av(k,j,i) / &
567	REAL( average_count_3d, KIND=wp )
568	ENDDO
569	ENDDO
570	ENDDO
571	ENDIF
572
573	IF ( ALLOCATED( u_av ) .AND. aver_u ) THEN
574	DO i = nxlg, nxrg !< yes, ghost points are required here!
575	DO j = nysg, nyng
576	DO k = nzb, nzt+1
577	u_av(k,j,i) = u_av(k,j,i) / &
578	REAL( average_count_3d, KIND=wp )
579	ENDDO
580	ENDDO
581	ENDDO
582	ENDIF
583
584	IF ( ALLOCATED( v_av ) .AND. aver_v ) THEN
585	DO i = nxlg, nxrg
586	DO j = nysg, nyng
587	DO k = nzb, nzt+1
588	v_av(k,j,i) = v_av(k,j,i) / &
589	REAL( average_count_3d, KIND=wp )
590	ENDDO
591	ENDDO
592	ENDDO
593	ENDIF
594
595	IF ( ALLOCATED( w_av ) .AND. aver_w ) THEN
596	DO i = nxlg, nxrg
597	DO j = nysg, nyng
598	DO k = nzb, nzt+1
599	w_av(k,j,i) = w_av(k,j,i) / &
600	REAL( average_count_3d, KIND=wp )
601	ENDDO
602	ENDDO
603	ENDDO
604	ENDIF
605	!
606	!-- Udate all thermal index grids with updated averaged input
607	CALL bio_calculate_thermal_index_maps ( .TRUE. )
608
609	!
610	!-- No averaging for UVEM since we are calculating a dose (only sum is
611	!-- calculated and saved to av.nc file)
612
613	END SELECT
614
615	ENDIF
616
617
618	END SUBROUTINE bio_3d_data_averaging
619
620
621
622	!------------------------------------------------------------------------------!
623	! Description:
624	! ------------
625	!> Check data output for biometeorology model
626	!------------------------------------------------------------------------------!
627	SUBROUTINE bio_check_data_output( var, unit, i, ilen, k )
628
629	USE control_parameters, &
630	ONLY: data_output, message_string
631
632	IMPLICIT NONE
633
634	CHARACTER (LEN=*) :: unit !< The unit for the variable var
635	CHARACTER (LEN=*) :: var !< The variable in question
636
637	INTEGER(iwp) :: i !<
638	INTEGER(iwp) :: ilen !<
639	INTEGER(iwp) :: k !<
640
641	SELECT CASE ( TRIM( var ) )
642	!
643	!-- Allocate a temporary array with the desired output dimensions.
644	CASE ( 'bio_mrt' )
645	unit = 'degree_C'
646	IF ( .NOT. ALLOCATED( tmrt_grid ) ) THEN
647	ALLOCATE( tmrt_grid (nys:nyn,nxl:nxr) )
648	ENDIF
649	tmrt_grid = REAL( bio_fill_value, KIND = wp )
650
651	CASE ( 'bio_perct*' )
652	unit = 'degree_C'
653	IF ( .NOT. ALLOCATED( perct ) ) THEN
654	ALLOCATE( perct (nys:nyn,nxl:nxr) )
655	ENDIF
656	perct = REAL( bio_fill_value, KIND = wp )
657
658	CASE ( 'bio_utci*' )
659	unit = 'degree_C'
660	IF ( .NOT. ALLOCATED( utci ) ) THEN
661	ALLOCATE( utci (nys:nyn,nxl:nxr) )
662	ENDIF
663	utci = REAL( bio_fill_value, KIND = wp )
664
665	CASE ( 'bio_pet*' )
666	unit = 'degree_C'
667	IF ( .NOT. ALLOCATED( pet ) ) THEN
668	ALLOCATE( pet (nys:nyn,nxl:nxr) )
669	ENDIF
670	pet = REAL( bio_fill_value, KIND = wp )
671
672	CASE ( 'uvem_vitd3*' )
673	IF ( .NOT. uv_exposure ) THEN
674	message_string = 'output of "' // TRIM( var ) // '" requi' // &
675	'res a namelist &uvexposure_par'
676	CALL message( 'uvem_check_data_output', 'UV0001', 1, 2, 0, 6, 0 )
677	ENDIF
678	IF ( k == 0 .OR. data_output(i)(ilen-2:ilen) /= '_xy' ) THEN
679	message_string = 'illegal value for data_output: "' // &
680	TRIM( var ) // '" & only 2d-horizontal ' // &
681	'cross sections are allowed for this value'
682	CALL message( 'check_parameters', 'PA0111', 1, 2, 0, 6, 0 )
683	ENDIF
684	unit = 'IU/s'
685	IF ( .NOT. ALLOCATED( vitd3_exposure ) ) THEN
686	ALLOCATE( vitd3_exposure(nysg:nyng,nxlg:nxrg) )
687	ENDIF
688	vitd3_exposure = 0.0_wp
689
690	CASE ( 'uvem_vitd3dose*' )
691	IF ( .NOT. uv_exposure ) THEN
692	message_string = 'output of "' // TRIM( var ) // '" requi' // &
693	'res a namelist &uvexposure_par'
694	CALL message( 'uvem_check_data_output', 'UV0001', 1, 2, 0, 6, 0 )
695	ENDIF
696	IF ( k == 0 .OR. data_output(i)(ilen-2:ilen) /= '_xy' ) THEN
697	message_string = 'illegal value for data_output: "' // &
698	TRIM( var ) // '" & only 2d-horizontal ' // &
699	'cross sections are allowed for this value'
700	CALL message( 'check_parameters', 'PA0111', 1, 2, 0, 6, 0 )
701	ENDIF
702	unit = 'IU/av-h'
703	IF ( .NOT. ALLOCATED( vitd3_exposure_av ) ) THEN
704	ALLOCATE( vitd3_exposure_av(nysg:nyng,nxlg:nxrg) )
705	ENDIF
706	vitd3_exposure_av = 0.0_wp
707
708	CASE DEFAULT
709	unit = 'illegal'
710
711	END SELECT
712
713	IF ( thermal_comfort .AND. unit == 'degree_C' ) THEN
714	!
715	!-- Futher checks if output belongs to biometeorology
716	! Break if required modules "radiation" and "humidity" are not running.
717	IF ( .NOT. radiation ) THEN
718	message_string = 'output of "' // TRIM( var ) // '" require' &
719	// 's radiation = .TRUE.'
720	CALL message( 'check_parameters', 'PA0509', 1, 2, 0, 6, 0 )
721	unit = 'illegal'
722	ENDIF
723	IF ( mrt_nlevels == 0 ) THEN
724	message_string = 'output of "' // TRIM( var ) // '" require' &
725	// 's mrt_nlevels > 0'
726	CALL message( 'check_parameters', 'PA0510', 1, 2, 0, 6, 0 )
727	unit = 'illegal'
728	ENDIF
729
730
731	ENDIF
732
733	END SUBROUTINE bio_check_data_output
734
735	!------------------------------------------------------------------------------!
736	! Description:
737	! ------------
738	!> Check parameters routine for biom module
739	!> check_parameters 1302
740	!------------------------------------------------------------------------------!
741	SUBROUTINE bio_check_parameters
742
743	USE control_parameters, &
744	ONLY: message_string
745
746
747	IMPLICIT NONE
748
749	!
750	!-- Disabled as long as radiation model not available
751
752	IF ( thermal_comfort .AND. .NOT. humidity ) THEN
753	message_string = 'The estimation of thermal comfort requires ' // &
754	'air humidity information, but humidity module ' // &
755	'is disabled!'
756	CALL message( 'check_parameters', 'PA0561', 0, 0, 0, 6, 0 )
757	ENDIF
758
759	END SUBROUTINE bio_check_parameters
760
761
762	!------------------------------------------------------------------------------!
763	!
764	! Description:
765	! ------------
766	!> Subroutine defining 2D output variables
767	!> data_output_2d 1188ff
768	!------------------------------------------------------------------------------!
769	SUBROUTINE bio_data_output_2d( av, variable, found, grid, local_pf, &
770	two_d, nzb_do, nzt_do )
771
772
773	USE kinds
774
775
776	IMPLICIT NONE
777	!
778	!-- Input variables
779	CHARACTER (LEN=*), INTENT(IN) :: variable !< Char identifier to select var for output
780	INTEGER(iwp), INTENT(IN) :: av !< Use averaged data? 0 = no, 1 = yes?
781	INTEGER(iwp), INTENT(IN) :: nzb_do !< Unused. 2D. nz bottom to nz top
782	INTEGER(iwp), INTENT(IN) :: nzt_do !< Unused.
783	!
784	!-- Output variables
785	CHARACTER (LEN=*), INTENT(OUT) :: grid !< Grid type (always "zu1" for biom)
786	LOGICAL, INTENT(OUT) :: found !< Output found?
787	LOGICAL, INTENT(OUT) :: two_d !< Flag parameter that indicates 2D variables, horizontal cross sections, must be .TRUE.
788	REAL(wp), DIMENSION(nxl:nxr,nys:nyn,nzb_do:nzt_do) :: local_pf !< Temp. result grid to return
789	!
790	!-- Internal variables
791	INTEGER(iwp) :: i !< Running index, x-dir
792	INTEGER(iwp) :: j !< Running index, y-dir
793	INTEGER(iwp) :: k !< Running index, z-dir
794	INTEGER(iwp) :: l !< Running index, radiation grid
795
796
797	found = .TRUE.
798	local_pf = bio_fill_value
799
800	SELECT CASE ( TRIM( variable ) )
801
802
803	CASE ( 'bio_mrt_xy' )
804	grid = 'zu1'
805	two_d = .FALSE. !< can be calculated for several levels
806	local_pf = REAL( bio_fill_value, KIND = wp )
807	DO l = 1, nmrtbl
808	i = mrtbl(ix,l)
809	j = mrtbl(iy,l)
810	k = mrtbl(iz,l)
811	IF ( k < nzb_do .OR. k > nzt_do .OR. j < nys .OR. j > nyn .OR. &
812	i < nxl .OR. i > nxr ) CYCLE
813	IF ( av == 0 ) THEN
814	IF ( mrt_include_sw ) THEN
815	local_pf(i,j,k) = ((human_absorb * mrtinsw(l) + &
816	human_emiss * mrtinlw(l)) / &
817	(human_emiss * sigma_sb)) ** .25_wp - degc_to_k
818	ELSE
819	local_pf(i,j,k) = (human_emiss * mrtinlw(l) / &
820	sigma_sb) ** .25_wp - degc_to_k
821	ENDIF
822	ELSE
823	local_pf(i,j,k) = mrt_av_grid(l)
824	ENDIF
825	ENDDO
826
827
828	CASE ( 'bio_perct*_xy' ) ! 2d-array
829	grid = 'zu1'
830	two_d = .TRUE.
831	IF ( av == 0 ) THEN
832	DO i = nxl, nxr
833	DO j = nys, nyn
834	local_pf(i,j,nzb+1) = perct(j,i)
835	ENDDO
836	ENDDO
837	ELSE
838	DO i = nxl, nxr
839	DO j = nys, nyn
840	local_pf(i,j,nzb+1) = perct_av(j,i)
841	ENDDO
842	ENDDO
843	END IF
844
845
846	CASE ( 'bio_utci*_xy' ) ! 2d-array
847	grid = 'zu1'
848	two_d = .TRUE.
849	IF ( av == 0 ) THEN
850	DO i = nxl, nxr
851	DO j = nys, nyn
852	local_pf(i,j,nzb+1) = utci(j,i)
853	ENDDO
854	ENDDO
855	ELSE
856	DO i = nxl, nxr
857	DO j = nys, nyn
858	local_pf(i,j,nzb+1) = utci_av(j,i)
859	ENDDO
860	ENDDO
861	END IF
862
863
864	CASE ( 'bio_pet*_xy' ) ! 2d-array
865	grid = 'zu1'
866	two_d = .TRUE.
867	IF ( av == 0 ) THEN
868	DO i = nxl, nxr
869	DO j = nys, nyn
870	local_pf(i,j,nzb+1) = pet(j,i)
871	ENDDO
872	ENDDO
873	ELSE
874	DO i = nxl, nxr
875	DO j = nys, nyn
876	local_pf(i,j,nzb+1) = pet_av(j,i)
877	ENDDO
878	ENDDO
879	END IF
880
881	!
882	!-- Before data is transfered to local_pf, transfer is it 2D dummy variable and exchange ghost points therein.
883	!-- However, at this point this is only required for instantaneous arrays, time-averaged quantities are already exchanged.
884	CASE ( 'uvem_vitd3*_xy' ) ! 2d-array
885	IF ( av == 0 ) THEN
886	DO i = nxl, nxr
887	DO j = nys, nyn
888	local_pf(i,j,nzb+1) = vitd3_exposure(j,i)
889	ENDDO
890	ENDDO
891	ENDIF
892
893	two_d = .TRUE.
894	grid = 'zu1'
895
896	CASE ( 'uvem_vitd3dose*_xy' ) ! 2d-array
897	IF ( av == 1 ) THEN
898	DO i = nxl, nxr
899	DO j = nys, nyn
900	local_pf(i,j,nzb+1) = vitd3_exposure_av(j,i)
901	ENDDO
902	ENDDO
903	ENDIF
904
905	two_d = .TRUE.
906	grid = 'zu1'
907
908
909	CASE DEFAULT
910	found = .FALSE.
911	grid = 'none'
912
913	END SELECT
914
915
916	END SUBROUTINE bio_data_output_2d
917
918
919	!------------------------------------------------------------------------------!
920	!
921	! Description:
922	! ------------
923	!> Subroutine defining 3D output variables (dummy, always 2d!)
924	!> data_output_3d 709ff
925	!------------------------------------------------------------------------------!
926	SUBROUTINE bio_data_output_3d( av, variable, found, local_pf, nzb_do, nzt_do )
927
928	USE indices
929
930	USE kinds
931
932
933	IMPLICIT NONE
934	!
935	!-- Input variables
936	CHARACTER (LEN=*), INTENT(IN) :: variable !< Char identifier to select var for output
937	INTEGER(iwp), INTENT(IN) :: av !< Use averaged data? 0 = no, 1 = yes?
938	INTEGER(iwp), INTENT(IN) :: nzb_do !< Unused. 2D. nz bottom to nz top
939	INTEGER(iwp), INTENT(IN) :: nzt_do !< Unused.
940	!
941	!-- Output variables
942	LOGICAL, INTENT(OUT) :: found !< Output found?
943	REAL(sp), DIMENSION(nxl:nxr,nys:nyn,nzb_do:nzt_do) :: local_pf !< Temp. result grid to return
944	!
945	!-- Internal variables
946	INTEGER(iwp) :: l !< Running index, radiation grid
947	INTEGER(iwp) :: i !< Running index, x-dir
948	INTEGER(iwp) :: j !< Running index, y-dir
949	INTEGER(iwp) :: k !< Running index, z-dir
950
951	! REAL(wp) :: mrt !< Buffer for mean radiant temperature
952
953	found = .TRUE.
954
955	SELECT CASE ( TRIM( variable ) )
956
957	CASE ( 'bio_mrt' )
958	local_pf = REAL( bio_fill_value, KIND = sp )
959	DO l = 1, nmrtbl
960	i = mrtbl(ix,l)
961	j = mrtbl(iy,l)
962	k = mrtbl(iz,l)
963	IF ( k < nzb_do .OR. k > nzt_do .OR. j < nys .OR. j > nyn .OR. &
964	i < nxl .OR. i > nxr ) CYCLE
965	IF ( av == 0 ) THEN
966	IF ( mrt_include_sw ) THEN
967	local_pf(i,j,k) = REAL(((human_absorb * mrtinsw(l) + &
968	human_emiss * mrtinlw(l)) / &
969	(human_emiss * sigma_sb)) ** .25_wp - &
970	degc_to_k, kind=sp )
971	ELSE
972	local_pf(i,j,k) = REAL((human_emiss * mrtinlw(l) / &
973	sigma_sb) ** .25_wp - degc_to_k, kind=sp ) !< why not (human_emiss * sigma_sb) as above?
974	ENDIF
975	ELSE
976	local_pf(i,j,k) = REAL(mrt_av_grid(l), kind=sp)
977	ENDIF
978	ENDDO
979
980	CASE DEFAULT
981	found = .FALSE.
982
983	END SELECT
984
985	END SUBROUTINE bio_data_output_3d
986
987	!------------------------------------------------------------------------------!
988	! Description:
989	! ------------
990	!> Subroutine defining appropriate grid for netcdf variables.
991	!> It is called out from subroutine netcdf_interface_mod.
992	!> netcdf_interface_mod 918ff
993	!------------------------------------------------------------------------------!
994	SUBROUTINE bio_define_netcdf_grid( var, found, grid_x, grid_y, grid_z )
995
996	IMPLICIT NONE
997	!
998	!-- Input variables
999	CHARACTER (LEN=*), INTENT(IN) :: var !< Name of output variable
1000	!
1001	!-- Output variables
1002	CHARACTER (LEN=*), INTENT(OUT) :: grid_x !< x grid of output variable
1003	CHARACTER (LEN=*), INTENT(OUT) :: grid_y !< y grid of output variable
1004	CHARACTER (LEN=*), INTENT(OUT) :: grid_z !< z grid of output variable
1005
1006	LOGICAL, INTENT(OUT) :: found !< Flag if output var is found
1007	!
1008	!-- Local variables
1009	LOGICAL :: is2d !< Var is 2d?
1010
1011	INTEGER(iwp) :: l !< Length of the var array
1012
1013
1014	found = .FALSE.
1015	grid_x = 'none'
1016	grid_y = 'none'
1017	grid_z = 'none'
1018
1019	l = MAX( 2, LEN_TRIM( var ) )
1020	is2d = ( var(l-1:l) == 'xy' )
1021
1022	IF ( var(1:4) == 'bio_' ) THEN
1023	found = .TRUE.
1024	grid_x = 'x'
1025	grid_y = 'y'
1026	grid_z = 'zu'
1027	IF ( is2d .AND. var(1:7) /= 'bio_mrt' ) grid_z = 'zu1'
1028	ENDIF
1029
1030	IF ( is2d .AND. var(1:4) == 'uvem' ) THEN
1031	grid_x = 'x'
1032	grid_y = 'y'
1033	grid_z = 'zu1'
1034	ENDIF
1035
1036	END SUBROUTINE bio_define_netcdf_grid
1037
1038	!------------------------------------------------------------------------------!
1039	! Description:
1040	! ------------
1041	!> Header output for biom module
1042	!> header 982
1043	!------------------------------------------------------------------------------!
1044	SUBROUTINE bio_header( io )
1045
1046	IMPLICIT NONE
1047	!
1048	!-- Input variables
1049	INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file
1050	!
1051	!-- Internal variables
1052	CHARACTER (LEN=86) :: output_height_chr !< String for output height
1053
1054	WRITE( output_height_chr, '(F8.1,7X)' ) bio_output_height
1055	!
1056	!-- Write biom header
1057	WRITE( io, 1 )
1058	WRITE( io, 2 ) TRIM( output_height_chr )
1059	WRITE( io, 3 ) TRIM( ACHAR( bio_cell_level ) )
1060
1061	1 FORMAT (//' Human thermal comfort module information:'/ &
1062	' ------------------------------'/)
1063	2 FORMAT (' --> All indices calculated for a height of (m): ', A )
1064	3 FORMAT (' --> This corresponds to cell level : ', A )
1065
1066	END SUBROUTINE bio_header
1067
1068
1069	!------------------------------------------------------------------------------!
1070	! Description:
1071	! ------------
1072	!> Initialization of the HTCM
1073	!> init_3d_model 1987ff
1074	!------------------------------------------------------------------------------!
1075	SUBROUTINE bio_init
1076
1077	USE control_parameters, &
1078	ONLY: message_string
1079
1080	USE netcdf_data_input_mod, &
1081	ONLY: netcdf_data_input_uvem
1082
1083	IMPLICIT NONE
1084	!
1085	!-- Internal vriables
1086	REAL ( wp ) :: height !< current height in meters
1087	!
1088	!-- Determine cell level corresponding to 1.1 m above ground level
1089	! (gravimetric center of sample human)
1090
1091	time_bio_results = 0.0_wp
1092	bio_cell_level = 0_iwp
1093	bio_output_height = 0.5_wp * dz(1)
1094	height = 0.0_wp
1095
1096	bio_cell_level = INT ( 1.099_wp / dz(1) )
1097	bio_output_height = bio_output_height + bio_cell_level * dz(1)
1098
1099	IF ( .NOT. radiation_interactions ) THEN
1100	message_string = 'The mrt calculation requires ' // &
1101	'enabled radiation_interactions but it ' // &
1102	'is disabled!'
1103	CALL message( 'check_parameters', 'PAHU03', 0, 0, -1, 6, 0 )
1104	ENDIF
1105
1106	!
1107	!-- Init UVEM and load lookup tables
1108	CALL netcdf_data_input_uvem
1109
1110	END SUBROUTINE bio_init
1111
1112
1113	!------------------------------------------------------------------------------!
1114	! Description:
1115	! ------------
1116	!> Parin for &biometeorology_parameters for reading biomet parameters
1117	!------------------------------------------------------------------------------!
1118	SUBROUTINE bio_parin
1119
1120	IMPLICIT NONE
1121
1122	!
1123	!-- Internal variables
1124	CHARACTER (LEN=80) :: line !< Dummy string for current line in parameter file
1125
1126	NAMELIST /biometeorology_parameters/ bio_pet, &
1127	bio_pet_av, &
1128	bio_perct, &
1129	bio_perct_av, &
1130	bio_utci, &
1131	bio_utci_av, &
1132	thermal_comfort, &
1133	!
1134	!-- UVEM namelist parameters
1135	clothing, &
1136	consider_obstructions, &
1137	orientation_angle, &
1138	sun_in_south, &
1139	turn_to_sun, &
1140	uv_exposure
1141
1142
1143	!-- Try to find biometeorology_parameters namelist
1144	REWIND ( 11 )
1145	line = ' '
1146	DO WHILE ( INDEX( line, '&biometeorology_parameters' ) == 0 )
1147	READ ( 11, '(A)', END = 20 ) line
1148	ENDDO
1149	BACKSPACE ( 11 )
1150
1151	!
1152	!-- Read biometeorology_parameters namelist
1153	READ ( 11, biometeorology_parameters, ERR = 10, END = 20 )
1154
1155	!
1156	!-- Set flag that indicates that the biomet_module is switched on
1157	biometeorology = .TRUE.
1158
1159	GOTO 20
1160
1161	!
1162	!-- In case of error
1163	10 BACKSPACE( 11 )
1164	READ( 11 , '(A)') line
1165	CALL parin_fail_message( 'biometeorology_parameters', line )
1166
1167	!
1168	!-- Complete
1169	20 CONTINUE
1170
1171
1172	END SUBROUTINE bio_parin
1173
1174	!------------------------------------------------------------------------------!
1175	! Description:
1176	! ------------
1177	!> Calculate biometeorology MRT for all 2D grid
1178	!------------------------------------------------------------------------------!
1179	SUBROUTINE bio_calculate_mrt_grid ( av )
1180
1181	IMPLICIT NONE
1182
1183	LOGICAL, INTENT(IN) :: av !< use averaged input?
1184	!
1185	!-- Internal variables
1186	INTEGER(iwp) :: i !< Running index, x-dir, radiation coordinates
1187	INTEGER(iwp) :: j !< Running index, y-dir, radiation coordinates
1188	INTEGER(iwp) :: k !< Running index, y-dir, radiation coordinates
1189	INTEGER(iwp) :: l !< Running index, radiation coordinates
1190
1191	!
1192	!-- Calculate biometeorology MRT from local radiation fluxes calculated by RTM and assign
1193	!-- into 2D grid. Depending on selected output quantities, tmrt_grid might not have been
1194	!-- allocated in bio_check_data_output yet.
1195	IF ( .NOT. ALLOCATED( tmrt_grid ) ) THEN
1196	ALLOCATE( tmrt_grid (nys:nyn,nxl:nxr) )
1197	ENDIF
1198	tmrt_grid = REAL( bio_fill_value, KIND = wp )
1199
1200	DO l = 1, nmrtbl
1201	i = mrtbl(ix,l)
1202	j = mrtbl(iy,l)
1203	k = mrtbl(iz,l)
1204	IF ( k - get_topography_top_index_ji( j, i, 's' ) == bio_cell_level + &
1205	1_iwp) THEN
1206	IF ( mrt_include_sw ) THEN
1207	tmrt_grid(j,i) = ((human_absorb*mrtinsw(l) + &
1208	human_emiss*mrtinlw(l)) / &
1209	(human_emisssigma_sb)) * .25_wp - degc_to_k
1210	ELSE
1211	tmrt_grid(j,i) = (human_emissmrtinlw(l) / sigma_sb) * .25_wp &
1212	- degc_to_k
1213	ENDIF
1214	ENDIF
1215	ENDDO
1216
1217	END SUBROUTINE bio_calculate_mrt_grid
1218
1219
1220	!------------------------------------------------------------------------------!
1221	! Description:
1222	! ------------
1223	!> Calculate static thermal indices for 2D grid point i, j
1224	!------------------------------------------------------------------------------!
1225	SUBROUTINE bio_get_thermal_index_input_ij( average_input, i, j, ta, vp, ws, &
1226	pair, tmrt )
1227
1228	IMPLICIT NONE
1229	!
1230	!-- Input variables
1231	LOGICAL, INTENT ( IN ) :: average_input !< Determine averaged input conditions?
1232	INTEGER(iwp), INTENT ( IN ) :: i !< Running index, x-dir
1233	INTEGER(iwp), INTENT ( IN ) :: j !< Running index, y-dir
1234	!
1235	!-- Output parameters
1236	REAL(wp), INTENT ( OUT ) :: tmrt !< Mean radiant temperature (degree_C)
1237	REAL(wp), INTENT ( OUT ) :: ta !< Air temperature (degree_C)
1238	REAL(wp), INTENT ( OUT ) :: vp !< Vapour pressure (hPa)
1239	REAL(wp), INTENT ( OUT ) :: ws !< Wind speed (local level) (m/s)
1240	REAL(wp), INTENT ( OUT ) :: pair !< Air pressure (hPa)
1241	!
1242	!-- Internal variables
1243	INTEGER(iwp) :: k !< Running index, z-dir
1244	! INTEGER(iwp) :: ir !< Running index, x-dir, radiation coordinates
1245	! INTEGER(iwp) :: jr !< Running index, y-dir, radiation coordinates
1246	! INTEGER(iwp) :: kr !< Running index, y-dir, radiation coordinates
1247	INTEGER(iwp) :: k_wind !< Running index, z-dir, wind speed only
1248	! INTEGER(iwp) :: l !< Running index, radiation coordinates
1249
1250	REAL(wp) :: vp_sat !< Saturation vapor pressure (hPa)
1251
1252	!
1253	!-- Determine cell level closest to 1.1m above ground
1254	! by making use of truncation due to int cast
1255	k = get_topography_top_index_ji(j, i, 's') + bio_cell_level !< Vertical cell center closest to 1.1m
1256
1257	!
1258	!-- Avoid non-representative horizontal u and v of 0.0 m/s too close to ground
1259	k_wind = k
1260	IF ( bio_cell_level < 1_iwp ) THEN
1261	k_wind = k + 1_iwp
1262	ENDIF
1263	!
1264	!-- Determine local values:
1265	IF ( average_input ) THEN
1266	!
1267	!-- Calculate ta from Tp assuming dry adiabatic laps rate
1268	ta = pt_av(k, j, i) - ( 0.0098_wp * dz(1) * ( k + .5_wp ) ) - degc_to_k
1269
1270	vp = bio_fill_value
1271	IF ( humidity .AND. ALLOCATED( q_av ) ) THEN
1272	vp = q_av(k, j, i)
1273	ENDIF
1274
1275	ws = ( 0.5_wp * ABS( u_av(k_wind, j, i) + u_av(k_wind, j, i+1) ) + &
1276	0.5_wp * ABS( v_av(k_wind, j, i) + v_av(k_wind, j+1, i) ) + &
1277	0.5_wp * ABS( w_av(k_wind, j, i) + w_av(k_wind+1, j, i) ) )
1278	ELSE
1279	!
1280	!-- Calculate ta from Tp assuming dry adiabatic laps rate
1281	ta = pt(k, j, i) - ( 0.0098_wp * dz(1) * ( k + .5_wp ) ) - degc_to_k
1282
1283	vp = bio_fill_value
1284	IF ( humidity ) THEN
1285	vp = q(k, j, i)
1286	ENDIF
1287
1288	ws = ( 0.5_wp * ABS( u(k_wind, j, i) + u(k_wind, j, i+1) ) + &
1289	0.5_wp * ABS( v(k_wind, j, i) + v(k_wind, j+1, i) ) + &
1290	0.5_wp * ABS( w(k_wind, j, i) + w(k_wind+1, j, i) ) )
1291
1292	ENDIF
1293	!
1294	!-- Local air pressure
1295	pair = surface_pressure
1296	!
1297	!-- Calculate water vapour pressure at saturation and convert to hPa
1298	!-- The magnus formula is limited to temperatures up to 333.15 K to
1299	! avoid negative values of vp_sat
1300	IF ( vp > -998._wp ) THEN
1301	vp_sat = 0.01_wp * magnus( MIN( ta + degc_to_k, 333.15_wp ) )
1302	vp = vp * pair / ( vp + 0.622_wp )
1303	IF ( vp > vp_sat ) vp = vp_sat
1304	ENDIF
1305	!
1306	!-- local mtr value at [i,j]
1307	tmrt = bio_fill_value !< this can be a valid result (e.g. for inside some ostacle)
1308	IF ( radiation ) THEN
1309	!
1310	!-- Use MRT from RTM precalculated in tmrt_grid
1311	tmrt = tmrt_grid(j,i)
1312	ENDIF
1313
1314	END SUBROUTINE bio_get_thermal_index_input_ij
1315
1316
1317	!------------------------------------------------------------------------------!
1318	! Description:
1319	! ------------
1320	!> Calculate static thermal indices for any point within a 2D grid
1321	!> time_integration.f90: 1065ff
1322	!------------------------------------------------------------------------------!
1323	SUBROUTINE bio_calculate_thermal_index_maps ( av )
1324
1325	IMPLICIT NONE
1326	!
1327	!-- Input attributes
1328	LOGICAL, INTENT ( IN ) :: av !< Calculate based on averaged input conditions?
1329	!
1330	!-- Internal variables
1331	INTEGER(iwp) :: i, j !< Running index
1332
1333	REAL(wp) :: clo !< Clothing index (no dimension)
1334	REAL(wp) :: ta !< Air temperature (degree_C)
1335	REAL(wp) :: vp !< Vapour pressure (hPa)
1336	REAL(wp) :: ws !< Wind speed (local level) (m/s)
1337	REAL(wp) :: pair !< Air pressure (hPa)
1338	REAL(wp) :: perct_ij !< Perceived temperature (degree_C)
1339	REAL(wp) :: utci_ij !< Universal thermal climate index (degree_C)
1340	REAL(wp) :: pet_ij !< Physiologically equivalent temperature (degree_C)
1341	REAL(wp) :: tmrt_ij !< Mean radiant temperature (degree_C)
1342
1343	!
1344	!-- fill out the MRT 2D grid from appropriate source (RTM, RRTMG,...)
1345	IF ( simulated_time > 0.0_wp ) THEN
1346	CALL bio_calculate_mrt_grid ( av )
1347	ENDIF
1348
1349	DO i = nxl, nxr
1350	DO j = nys, nyn
1351	!
1352	!-- Determine local input conditions
1353	tmrt_ij = bio_fill_value
1354	vp = bio_fill_value
1355	!
1356	!-- Determine input only if
1357	IF ( simulated_time > 0.0_wp ) THEN
1358	CALL bio_get_thermal_index_input_ij ( av, i, j, ta, vp, &
1359	ws, pair, tmrt_ij )
1360	END IF
1361	!
1362	!-- Only proceed if input is available
1363	pet_ij = bio_fill_value !< set fail value, e.g. valid for within
1364	perct_ij = bio_fill_value !< some obstacle
1365	utci_ij = bio_fill_value
1366	IF ( .NOT. ( tmrt_ij <= -998._wp .OR. vp <= -998._wp ) ) THEN
1367	!
1368	!-- Calculate static thermal indices based on local tmrt
1369	clo = bio_fill_value
1370
1371	IF ( bio_perct ) THEN
1372	!
1373	!-- Estimate local perceived temperature
1374	CALL calculate_perct_static( ta, vp, ws, tmrt_ij, pair, clo, &
1375	perct_ij )
1376	ENDIF
1377
1378	IF ( bio_utci ) THEN
1379	!
1380	!-- Estimate local universal thermal climate index
1381	CALL calculate_utci_static( ta, vp, ws, tmrt_ij, &
1382	bio_output_height, utci_ij )
1383	ENDIF
1384
1385	IF ( bio_pet ) THEN
1386	!
1387	!-- Estimate local physiologically equivalent temperature
1388	CALL calculate_pet_static( ta, vp, ws, tmrt_ij, pair, pet_ij )
1389	ENDIF
1390	END IF
1391
1392
1393	IF ( av ) THEN
1394	!
1395	!-- Write results for selected averaged indices
1396	IF ( bio_perct_av ) THEN
1397	perct_av(j, i) = perct_ij
1398	END IF
1399	IF ( bio_utci_av ) THEN
1400	utci_av(j, i) = utci_ij
1401	END IF
1402	IF ( bio_pet_av ) THEN
1403	pet_av(j, i) = pet_ij
1404	END IF
1405	ELSE
1406	!
1407	!-- Write result for selected indices
1408	IF ( bio_perct ) THEN
1409	perct(j, i) = perct_ij
1410	END IF
1411	IF ( bio_utci ) THEN
1412	utci(j, i) = utci_ij
1413	END IF
1414	IF ( bio_pet ) THEN
1415	pet(j, i) = pet_ij
1416	END IF
1417	END IF
1418
1419	END DO
1420	END DO
1421
1422	END SUBROUTINE bio_calculate_thermal_index_maps
1423
1424	!------------------------------------------------------------------------------!
1425	! Description:
1426	! ------------
1427	!> Calculate dynamic thermal indices (currently only iPT, but expandable)
1428	!------------------------------------------------------------------------------!
1429	SUBROUTINE bio_calc_ipt( ta, vp, ws, pair, tmrt, dt, energy_storage, &
1430	t_clo, clo, actlev, age, weight, height, work, sex, ipt )
1431
1432	IMPLICIT NONE
1433	!
1434	!-- Input parameters
1435	REAL(wp), INTENT ( IN ) :: ta !< Air temperature (degree_C)
1436	REAL(wp), INTENT ( IN ) :: vp !< Vapour pressure (hPa)
1437	REAL(wp), INTENT ( IN ) :: ws !< Wind speed (local level) (m/s)
1438	REAL(wp), INTENT ( IN ) :: pair !< Air pressure (hPa)
1439	REAL(wp), INTENT ( IN ) :: tmrt !< Mean radiant temperature (degree_C)
1440	REAL(wp), INTENT ( IN ) :: dt !< Time past since last calculation (s)
1441	REAL(wp), INTENT ( IN ) :: age !< Age of agent (y)
1442	REAL(wp), INTENT ( IN ) :: weight !< Weight of agent (Kg)
1443	REAL(wp), INTENT ( IN ) :: height !< Height of agent (m)
1444	REAL(wp), INTENT ( IN ) :: work !< Mechanical workload of agent
1445	! (without metabolism!) (W)
1446	INTEGER(iwp), INTENT ( IN ) :: sex !< Sex of agent (1 = male, 2 = female)
1447	!
1448	!-- Both, input and output parameters
1449	Real(wp), INTENT ( INOUT ) :: energy_storage !< Energy storage (W/mÂ²)
1450	Real(wp), INTENT ( INOUT ) :: t_clo !< Clothing temperature (degree_C)
1451	Real(wp), INTENT ( INOUT ) :: clo !< Current clothing in sulation
1452	Real(wp), INTENT ( INOUT ) :: actlev !< Individuals activity level
1453	! per unit surface area (W/mÂ²)
1454	!
1455	!-- Output parameters
1456	REAL(wp), INTENT ( OUT ) :: ipt !< Instationary perceived temp. (degree_C)
1457	!
1458	!-- If clo equals the initial value, this is the initial call
1459	IF ( clo <= -998._wp ) THEN
1460	!
1461	!-- Initialize instationary perceived temperature with personalized
1462	! PT as an initial guess, set actlev and clo
1463	CALL ipt_init ( age, weight, height, sex, work, actlev, clo, &
1464	ta, vp, ws, tmrt, pair, dt, energy_storage, t_clo, &
1465	ipt )
1466	ELSE
1467	!
1468	!-- Estimate local instatinoary perceived temperature
1469	CALL ipt_cycle ( ta, vp, ws, tmrt, pair, dt, energy_storage, t_clo, &
1470	clo, actlev, work, ipt )
1471	ENDIF
1472
1473	END SUBROUTINE bio_calc_ipt
1474
1475
1476	!------------------------------------------------------------------------------!
1477	! Description:
1478	! ------------
1479	!> SUBROUTINE for calculating UTCI Temperature (UTCI)
1480	!> computed by a 6th order approximation
1481	!
1482	!> UTCI regression equation after
1483	!> BrÃ¶de P, Fiala D, Blazejczyk K, HolmÃ©r I, Jendritzky G, Kampmann B, Tinz B,
1484	!> Havenith G (2012) Deriving the operational procedure for the Universal Thermal
1485	!> Climate Index (UTCI). International Journal of Biometeorology 56 (3):481-494.
1486	!> doi:10.1007/s00484-011-0454-1
1487	!
1488	!> original source available at:
1489	!> www.utci.org
1490	!------------------------------------------------------------------------------!
1491	SUBROUTINE calculate_utci_static( ta_in, vp, ws_hag, tmrt, hag, utci_ij )
1492
1493	IMPLICIT NONE
1494	!
1495	!-- Type of input of the argument list
1496	REAL(WP), INTENT ( IN ) :: ta_in !< Local air temperature (degree_C)
1497	REAL(WP), INTENT ( IN ) :: vp !< Loacl vapour pressure (hPa)
1498	REAL(WP), INTENT ( IN ) :: ws_hag !< Incident wind speed (m/s)
1499	REAL(WP), INTENT ( IN ) :: tmrt !< Local mean radiant temperature (degree_C)
1500	REAL(WP), INTENT ( IN ) :: hag !< Height of wind speed input (m)
1501	!
1502	!-- Type of output of the argument list
1503	REAL(wp), INTENT ( OUT ) :: utci_ij !< Universal Thermal Climate Index (degree_C)
1504
1505	REAL(WP) :: ta !< air temperature modified by offset (degree_C)
1506	REAL(WP) :: pa !< air pressure in kPa (kPa)
1507	REAL(WP) :: d_tmrt !< delta-tmrt (degree_C)
1508	REAL(WP) :: va !< wind speed at 10 m above ground level (m/s)
1509	REAL(WP) :: offset !< utci deviation by ta cond. exceeded (degree_C)
1510	REAL(WP) :: part_ta !< Air temperature related part of the regression
1511	REAL(WP) :: ta2 !< 2 times ta
1512	REAL(WP) :: ta3 !< 3 times ta
1513	REAL(WP) :: ta4 !< 4 times ta
1514	REAL(WP) :: ta5 !< 5 times ta
1515	REAL(WP) :: ta6 !< 6 times ta
1516	REAL(WP) :: part_va !< Vapour pressure related part of the regression
1517	REAL(WP) :: va2 !< 2 times va
1518	REAL(WP) :: va3 !< 3 times va
1519	REAL(WP) :: va4 !< 4 times va
1520	REAL(WP) :: va5 !< 5 times va
1521	REAL(WP) :: va6 !< 6 times va
1522	REAL(WP) :: part_d_tmrt !< Mean radiant temp. related part of the reg.
1523	REAL(WP) :: d_tmrt2 !< 2 times d_tmrt
1524	REAL(WP) :: d_tmrt3 !< 3 times d_tmrt
1525	REAL(WP) :: d_tmrt4 !< 4 times d_tmrt
1526	REAL(WP) :: d_tmrt5 !< 5 times d_tmrt
1527	REAL(WP) :: d_tmrt6 !< 6 times d_tmrt
1528	REAL(WP) :: part_pa !< Air pressure related part of the regression
1529	REAL(WP) :: pa2 !< 2 times pa
1530	REAL(WP) :: pa3 !< 3 times pa
1531	REAL(WP) :: pa4 !< 4 times pa
1532	REAL(WP) :: pa5 !< 5 times pa
1533	REAL(WP) :: pa6 !< 6 times pa
1534	REAL(WP) :: part_pa2 !< Air pressure^2 related part of the regression
1535	REAL(WP) :: part_pa3 !< Air pressure^3 related part of the regression
1536	REAL(WP) :: part_pa46 !< Air pressure^4-6 related part of the regression
1537
1538	!
1539	!-- Initialize
1540	offset = 0._wp
1541	ta = ta_in
1542	d_tmrt = tmrt - ta_in
1543	!
1544	!-- Use vapour pressure in kpa
1545	pa = vp / 10.0_wp
1546	!
1547	!-- Wind altitude correction from hag to 10m after Broede et al. (2012), eq.3
1548	! z(0) is set to 0.01 according to UTCI profile definition
1549	va = ws_hag * log ( 10.0_wp / 0.01_wp ) / log ( hag / 0.01_wp )
1550	!
1551	!-- Check if input values in range after Broede et al. (2012)
1552	IF ( ( d_tmrt > 70._wp ) .OR. ( d_tmrt < -30._wp ) .OR. &
1553	( vp >= 50._wp ) ) THEN
1554	utci_ij = bio_fill_value
1555	RETURN
1556	ENDIF
1557	!
1558	!-- Apply eq. 2 in Broede et al. (2012) for ta out of bounds
1559	IF ( ta > 50._wp ) THEN
1560	offset = ta - 50._wp
1561	ta = 50._wp
1562	ENDIF
1563	IF ( ta < -50._wp ) THEN
1564	offset = ta + 50._wp
1565	ta = -50._wp
1566	ENDIF
1567	!
1568	!-- For routine application. For wind speeds and relative
1569	! humidity values below 0.5 m/s or 5%, respectively, the
1570	! user is advised to use the lower bounds for the calculations.
1571	IF ( va < 0.5_wp ) va = 0.5_wp
1572	IF ( va > 17._wp ) va = 17._wp
1573
1574	!
1575	!-- Pre-calculate multiples of input parameters to save time later
1576
1577	ta2 = ta * ta
1578	ta3 = ta2 * ta
1579	ta4 = ta3 * ta
1580	ta5 = ta4 * ta
1581	ta6 = ta5 * ta
1582
1583	va2 = va * va
1584	va3 = va2 * va
1585	va4 = va3 * va
1586	va5 = va4 * va
1587	va6 = va5 * va
1588
1589	d_tmrt2 = d_tmrt * d_tmrt
1590	d_tmrt3 = d_tmrt2 * d_tmrt
1591	d_tmrt4 = d_tmrt3 * d_tmrt
1592	d_tmrt5 = d_tmrt4 * d_tmrt
1593	d_tmrt6 = d_tmrt5 * d_tmrt
1594
1595	pa2 = pa * pa
1596	pa3 = pa2 * pa
1597	pa4 = pa3 * pa
1598	pa5 = pa4 * pa
1599	pa6 = pa5 * pa
1600
1601	!
1602	!-- Pre-calculate parts of the regression equation
1603	part_ta = ( 6.07562052e-01_wp ) + &
1604	( -2.27712343e-02_wp ) * ta + &
1605	( 8.06470249e-04_wp ) * ta2 + &
1606	( -1.54271372e-04_wp ) * ta3 + &
1607	( -3.24651735e-06_wp ) * ta4 + &
1608	( 7.32602852e-08_wp ) * ta5 + &
1609	( 1.35959073e-09_wp ) * ta6
1610
1611	part_va = ( -2.25836520e+00_wp ) * va + &
1612	( 8.80326035e-02_wp ) * ta * va + &
1613	( 2.16844454e-03_wp ) * ta2 * va + &
1614	( -1.53347087e-05_wp ) * ta3 * va + &
1615	( -5.72983704e-07_wp ) * ta4 * va + &
1616	( -2.55090145e-09_wp ) * ta5 * va + &
1617	( -7.51269505e-01_wp ) * va2 + &
1618	( -4.08350271e-03_wp ) * ta * va2 + &
1619	( -5.21670675e-05_wp ) * ta2 * va2 + &
1620	( 1.94544667e-06_wp ) * ta3 * va2 + &
1621	( 1.14099531e-08_wp ) * ta4 * va2 + &
1622	( 1.58137256e-01_wp ) * va3 + &
1623	( -6.57263143e-05_wp ) * ta * va3 + &
1624	( 2.22697524e-07_wp ) * ta2 * va3 + &
1625	( -4.16117031e-08_wp ) * ta3 * va3 + &
1626	( -1.27762753e-02_wp ) * va4 + &
1627	( 9.66891875e-06_wp ) * ta * va4 + &
1628	( 2.52785852e-09_wp ) * ta2 * va4 + &
1629	( 4.56306672e-04_wp ) * va5 + &
1630	( -1.74202546e-07_wp ) * ta * va5 + &
1631	( -5.91491269e-06_wp ) * va6
1632
1633	part_d_tmrt = ( 3.98374029e-01_wp ) * d_tmrt + &
1634	( 1.83945314e-04_wp ) * ta * d_tmrt + &
1635	( -1.73754510e-04_wp ) * ta2 * d_tmrt + &
1636	( -7.60781159e-07_wp ) * ta3 * d_tmrt + &
1637	( 3.77830287e-08_wp ) * ta4 * d_tmrt + &
1638	( 5.43079673e-10_wp ) * ta5 * d_tmrt + &
1639	( -2.00518269e-02_wp ) * va * d_tmrt + &
1640	( 8.92859837e-04_wp ) * ta * va * d_tmrt + &
1641	( 3.45433048e-06_wp ) * ta2 * va * d_tmrt + &
1642	( -3.77925774e-07_wp ) * ta3 * va * d_tmrt + &
1643	( -1.69699377e-09_wp ) * ta4 * va * d_tmrt + &
1644	( 1.69992415e-04_wp ) * va2 * d_tmrt + &
1645	( -4.99204314e-05_wp ) * ta * va2 * d_tmrt + &
1646	( 2.47417178e-07_wp ) * ta2 * va2 * d_tmrt + &
1647	( 1.07596466e-08_wp ) * ta3 * va2 * d_tmrt + &
1648	( 8.49242932e-05_wp ) * va3 * d_tmrt + &
1649	( 1.35191328e-06_wp ) * ta * va3 * d_tmrt + &
1650	( -6.21531254e-09_wp ) * ta2 * va3 * d_tmrt + &
1651	( -4.99410301e-06_wp ) * va4 * d_tmrt + &
1652	( -1.89489258e-08_wp ) * ta * va4 * d_tmrt + &
1653	( 8.15300114e-08_wp ) * va5 * d_tmrt + &
1654	( 7.55043090e-04_wp ) * d_tmrt2 + &
1655	( -5.65095215e-05_wp ) * ta * d_tmrt2 + &
1656	( -4.52166564e-07_wp ) * ta2 * d_tmrt2 + &
1657	( 2.46688878e-08_wp ) * ta3 * d_tmrt2 + &
1658	( 2.42674348e-10_wp ) * ta4 * d_tmrt2 + &
1659	( 1.54547250e-04_wp ) * va * d_tmrt2 + &
1660	( 5.24110970e-06_wp ) * ta * va * d_tmrt2 + &
1661	( -8.75874982e-08_wp ) * ta2 * va * d_tmrt2 + &
1662	( -1.50743064e-09_wp ) * ta3 * va * d_tmrt2 + &
1663	( -1.56236307e-05_wp ) * va2 * d_tmrt2 + &
1664	( -1.33895614e-07_wp ) * ta * va2 * d_tmrt2 + &
1665	( 2.49709824e-09_wp ) * ta2 * va2 * d_tmrt2 + &
1666	( 6.51711721e-07_wp ) * va3 * d_tmrt2 + &
1667	( 1.94960053e-09_wp ) * ta * va3 * d_tmrt2 + &
1668	( -1.00361113e-08_wp ) * va4 * d_tmrt2 + &
1669	( -1.21206673e-05_wp ) * d_tmrt3 + &
1670	( -2.18203660e-07_wp ) * ta * d_tmrt3 + &
1671	( 7.51269482e-09_wp ) * ta2 * d_tmrt3 + &
1672	( 9.79063848e-11_wp ) * ta3 * d_tmrt3 + &
1673	( 1.25006734e-06_wp ) * va * d_tmrt3 + &
1674	( -1.81584736e-09_wp ) * ta * va * d_tmrt3 + &
1675	( -3.52197671e-10_wp ) * ta2 * va * d_tmrt3 + &
1676	( -3.36514630e-08_wp ) * va2 * d_tmrt3 + &
1677	( 1.35908359e-10_wp ) * ta * va2 * d_tmrt3 + &
1678	( 4.17032620e-10_wp ) * va3 * d_tmrt3 + &
1679	( -1.30369025e-09_wp ) * d_tmrt4 + &
1680	( 4.13908461e-10_wp ) * ta * d_tmrt4 + &
1681	( 9.22652254e-12_wp ) * ta2 * d_tmrt4 + &
1682	( -5.08220384e-09_wp ) * va * d_tmrt4 + &
1683	( -2.24730961e-11_wp ) * ta * va * d_tmrt4 + &
1684	( 1.17139133e-10_wp ) * va2 * d_tmrt4 + &
1685	( 6.62154879e-10_wp ) * d_tmrt5 + &
1686	( 4.03863260e-13_wp ) * ta * d_tmrt5 + &
1687	( 1.95087203e-12_wp ) * va * d_tmrt5 + &
1688	( -4.73602469e-12_wp ) * d_tmrt6
1689
1690	part_pa = ( 5.12733497e+00_wp ) * pa + &
1691	( -3.12788561e-01_wp ) * ta * pa + &
1692	( -1.96701861e-02_wp ) * ta2 * pa + &
1693	( 9.99690870e-04_wp ) * ta3 * pa + &
1694	( 9.51738512e-06_wp ) * ta4 * pa + &
1695	( -4.66426341e-07_wp ) * ta5 * pa + &
1696	( 5.48050612e-01_wp ) * va * pa + &
1697	( -3.30552823e-03_wp ) * ta * va * pa + &
1698	( -1.64119440e-03_wp ) * ta2 * va * pa + &
1699	( -5.16670694e-06_wp ) * ta3 * va * pa + &
1700	( 9.52692432e-07_wp ) * ta4 * va * pa + &
1701	( -4.29223622e-02_wp ) * va2 * pa + &
1702	( 5.00845667e-03_wp ) * ta * va2 * pa + &
1703	( 1.00601257e-06_wp ) * ta2 * va2 * pa + &
1704	( -1.81748644e-06_wp ) * ta3 * va2 * pa + &
1705	( -1.25813502e-03_wp ) * va3 * pa + &
1706	( -1.79330391e-04_wp ) * ta * va3 * pa + &
1707	( 2.34994441e-06_wp ) * ta2 * va3 * pa + &
1708	( 1.29735808e-04_wp ) * va4 * pa + &
1709	( 1.29064870e-06_wp ) * ta * va4 * pa + &
1710	( -2.28558686e-06_wp ) * va5 * pa + &
1711	( -3.69476348e-02_wp ) * d_tmrt * pa + &
1712	( 1.62325322e-03_wp ) * ta * d_tmrt * pa + &
1713	( -3.14279680e-05_wp ) * ta2 * d_tmrt * pa + &
1714	( 2.59835559e-06_wp ) * ta3 * d_tmrt * pa + &
1715	( -4.77136523e-08_wp ) * ta4 * d_tmrt * pa + &
1716	( 8.64203390e-03_wp ) * va * d_tmrt * pa + &
1717	( -6.87405181e-04_wp ) * ta * va * d_tmrt * pa + &
1718	( -9.13863872e-06_wp ) * ta2 * va * d_tmrt * pa + &
1719	( 5.15916806e-07_wp ) * ta3 * va * d_tmrt * pa + &
1720	( -3.59217476e-05_wp ) * va2 * d_tmrt * pa + &
1721	( 3.28696511e-05_wp ) * ta * va2 * d_tmrt * pa + &
1722	( -7.10542454e-07_wp ) * ta2 * va2 * d_tmrt * pa + &
1723	( -1.24382300e-05_wp ) * va3 * d_tmrt * pa + &
1724	( -7.38584400e-09_wp ) * ta * va3 * d_tmrt * pa + &
1725	( 2.20609296e-07_wp ) * va4 * d_tmrt * pa + &
1726	( -7.32469180e-04_wp ) * d_tmrt2 * pa + &
1727	( -1.87381964e-05_wp ) * ta * d_tmrt2 * pa + &
1728	( 4.80925239e-06_wp ) * ta2 * d_tmrt2 * pa + &
1729	( -8.75492040e-08_wp ) * ta3 * d_tmrt2 * pa + &
1730	( 2.77862930e-05_wp ) * va * d_tmrt2 * pa + &
1731	( -5.06004592e-06_wp ) * ta * va * d_tmrt2 * pa + &
1732	( 1.14325367e-07_wp ) * ta2 * va * d_tmrt2 * pa + &
1733	( 2.53016723e-06_wp ) * va2 * d_tmrt2 * pa + &
1734	( -1.72857035e-08_wp ) * ta * va2 * d_tmrt2 * pa + &
1735	( -3.95079398e-08_wp ) * va3 * d_tmrt2 * pa + &
1736	( -3.59413173e-07_wp ) * d_tmrt3 * pa + &
1737	( 7.04388046e-07_wp ) * ta * d_tmrt3 * pa + &
1738	( -1.89309167e-08_wp ) * ta2 * d_tmrt3 * pa + &
1739	( -4.79768731e-07_wp ) * va * d_tmrt3 * pa + &
1740	( 7.96079978e-09_wp ) * ta * va * d_tmrt3 * pa + &
1741	( 1.62897058e-09_wp ) * va2 * d_tmrt3 * pa + &
1742	( 3.94367674e-08_wp ) * d_tmrt4 * pa + &
1743	( -1.18566247e-09_wp ) * ta * d_tmrt4 * pa + &
1744	( 3.34678041e-10_wp ) * va * d_tmrt4 * pa + &
1745	( -1.15606447e-10_wp ) * d_tmrt5 * pa
1746
1747	part_pa2 = ( -2.80626406e+00_wp ) * pa2 + &
1748	( 5.48712484e-01_wp ) * ta * pa2 + &
1749	( -3.99428410e-03_wp ) * ta2 * pa2 + &
1750	( -9.54009191e-04_wp ) * ta3 * pa2 + &
1751	( 1.93090978e-05_wp ) * ta4 * pa2 + &
1752	( -3.08806365e-01_wp ) * va * pa2 + &
1753	( 1.16952364e-02_wp ) * ta * va * pa2 + &
1754	( 4.95271903e-04_wp ) * ta2 * va * pa2 + &
1755	( -1.90710882e-05_wp ) * ta3 * va * pa2 + &
1756	( 2.10787756e-03_wp ) * va2 * pa2 + &
1757	( -6.98445738e-04_wp ) * ta * va2 * pa2 + &
1758	( 2.30109073e-05_wp ) * ta2 * va2 * pa2 + &
1759	( 4.17856590e-04_wp ) * va3 * pa2 + &
1760	( -1.27043871e-05_wp ) * ta * va3 * pa2 + &
1761	( -3.04620472e-06_wp ) * va4 * pa2 + &
1762	( 5.14507424e-02_wp ) * d_tmrt * pa2 + &
1763	( -4.32510997e-03_wp ) * ta * d_tmrt * pa2 + &
1764	( 8.99281156e-05_wp ) * ta2 * d_tmrt * pa2 + &
1765	( -7.14663943e-07_wp ) * ta3 * d_tmrt * pa2 + &
1766	( -2.66016305e-04_wp ) * va * d_tmrt * pa2 + &
1767	( 2.63789586e-04_wp ) * ta * va * d_tmrt * pa2 + &
1768	( -7.01199003e-06_wp ) * ta2 * va * d_tmrt * pa2 + &
1769	( -1.06823306e-04_wp ) * va2 * d_tmrt * pa2 + &
1770	( 3.61341136e-06_wp ) * ta * va2 * d_tmrt * pa2 + &
1771	( 2.29748967e-07_wp ) * va3 * d_tmrt * pa2 + &
1772	( 3.04788893e-04_wp ) * d_tmrt2 * pa2 + &
1773	( -6.42070836e-05_wp ) * ta * d_tmrt2 * pa2 + &
1774	( 1.16257971e-06_wp ) * ta2 * d_tmrt2 * pa2 + &
1775	( 7.68023384e-06_wp ) * va * d_tmrt2 * pa2 + &
1776	( -5.47446896e-07_wp ) * ta * va * d_tmrt2 * pa2 + &
1777	( -3.59937910e-08_wp ) * va2 * d_tmrt2 * pa2 + &
1778	( -4.36497725e-06_wp ) * d_tmrt3 * pa2 + &
1779	( 1.68737969e-07_wp ) * ta * d_tmrt3 * pa2 + &
1780	( 2.67489271e-08_wp ) * va * d_tmrt3 * pa2 + &
1781	( 3.23926897e-09_wp ) * d_tmrt4 * pa2
1782
1783	part_pa3 = ( -3.53874123e-02_wp ) * pa3 + &
1784	( -2.21201190e-01_wp ) * ta * pa3 + &
1785	( 1.55126038e-02_wp ) * ta2 * pa3 + &
1786	( -2.63917279e-04_wp ) * ta3 * pa3 + &
1787	( 4.53433455e-02_wp ) * va * pa3 + &
1788	( -4.32943862e-03_wp ) * ta * va * pa3 + &
1789	( 1.45389826e-04_wp ) * ta2 * va * pa3 + &
1790	( 2.17508610e-04_wp ) * va2 * pa3 + &
1791	( -6.66724702e-05_wp ) * ta * va2 * pa3 + &
1792	( 3.33217140e-05_wp ) * va3 * pa3 + &
1793	( -2.26921615e-03_wp ) * d_tmrt * pa3 + &
1794	( 3.80261982e-04_wp ) * ta * d_tmrt * pa3 + &
1795	( -5.45314314e-09_wp ) * ta2 * d_tmrt * pa3 + &
1796	( -7.96355448e-04_wp ) * va * d_tmrt * pa3 + &
1797	( 2.53458034e-05_wp ) * ta * va * d_tmrt * pa3 + &
1798	( -6.31223658e-06_wp ) * va2 * d_tmrt * pa3 + &
1799	( 3.02122035e-04_wp ) * d_tmrt2 * pa3 + &
1800	( -4.77403547e-06_wp ) * ta * d_tmrt2 * pa3 + &
1801	( 1.73825715e-06_wp ) * va * d_tmrt2 * pa3 + &
1802	( -4.09087898e-07_wp ) * d_tmrt3 * pa3
1803
1804	part_pa46 = ( 6.14155345e-01_wp ) * pa4 + &
1805	( -6.16755931e-02_wp ) * ta * pa4 + &
1806	( 1.33374846e-03_wp ) * ta2 * pa4 + &
1807	( 3.55375387e-03_wp ) * va * pa4 + &
1808	( -5.13027851e-04_wp ) * ta * va * pa4 + &
1809	( 1.02449757e-04_wp ) * va2 * pa4 + &
1810	( -1.48526421e-03_wp ) * d_tmrt * pa4 + &
1811	( -4.11469183e-05_wp ) * ta * d_tmrt * pa4 + &
1812	( -6.80434415e-06_wp ) * va * d_tmrt * pa4 + &
1813	( -9.77675906e-06_wp ) * d_tmrt2 * pa4 + &
1814	( 8.82773108e-02_wp ) * pa5 + &
1815	( -3.01859306e-03_wp ) * ta * pa5 + &
1816	( 1.04452989e-03_wp ) * va * pa5 + &
1817	( 2.47090539e-04_wp ) * d_tmrt * pa5 + &
1818	( 1.48348065e-03_wp ) * pa6
1819	!
1820	!-- Calculate 6th order polynomial as approximation
1821	utci_ij = ta + part_ta + part_va + part_d_tmrt + part_pa + part_pa2 + &
1822	part_pa3 + part_pa46
1823	!
1824	!-- Consider offset in result
1825	utci_ij = utci_ij + offset
1826
1827	END SUBROUTINE calculate_utci_static
1828
1829
1830
1831
1832	!------------------------------------------------------------------------------!
1833	! Description:
1834	! ------------
1835	!> calculate_perct_static: Estimation of perceived temperature (PT, degree_C)
1836	!> Value of perct is the Perceived Temperature, degree centigrade
1837	!------------------------------------------------------------------------------!
1838	SUBROUTINE calculate_perct_static( ta, vp, ws, tmrt, pair, clo, perct_ij )
1839
1840	IMPLICIT NONE
1841	!
1842	!-- Type of input of the argument list
1843	REAL(wp), INTENT ( IN ) :: ta !< Local air temperature (degC)
1844	REAL(wp), INTENT ( IN ) :: vp !< Local vapour pressure (hPa)
1845	REAL(wp), INTENT ( IN ) :: tmrt !< Local mean radiant temperature (degC)
1846	REAL(wp), INTENT ( IN ) :: ws !< Local wind velocitry (m/s)
1847	REAL(wp), INTENT ( IN ) :: pair !< Local barometric air pressure (hPa)
1848	!
1849	!-- Type of output of the argument list
1850	REAL(wp), INTENT ( OUT ) :: perct_ij !< Perceived temperature (degC)
1851	REAL(wp), INTENT ( OUT ) :: clo !< Clothing index (dimensionless)
1852	!
1853	!-- Parameters for standard "Klima-Michel"
1854	REAL(wp), PARAMETER :: eta = 0._wp !< Mechanical work efficiency for walking on flat ground (compare to Fanger (1972) pp 24f)
1855	REAL(wp), PARAMETER :: actlev = 134.6862_wp !< Workload by activity per standardized surface (A_Du)
1856	!
1857	!-- Type of program variables
1858	REAL(wp), PARAMETER :: eps = 0.0005 !< Accuracy in clothing insulation (clo) for evaluation the root of Fanger's PMV (pmva=0)
1859	REAL(wp) :: sclo !< summer clothing insulation
1860	REAL(wp) :: wclo !< winter clothing insulation
1861	REAL(wp) :: d_pmv !< PMV deviation (dimensionless --> PMV)
1862	REAL(wp) :: svp_ta !< saturation vapor pressure (hPa)
1863	REAL(wp) :: sult_lim !< threshold for sultrieness (hPa)
1864	REAL(wp) :: dgtcm !< Mean deviation dependent on perct
1865	REAL(wp) :: dgtcstd !< Mean deviation plus its standard deviation
1866	REAL(wp) :: clon !< clo for neutral conditions (clo)
1867	REAL(wp) :: ireq_minimal !< Minimal required clothing insulation (clo)
1868	! REAL(wp) :: clo_fanger !< clo for fanger subroutine, unused
1869	REAL(wp) :: pmv_w !< Fangers predicted mean vote for winter clothing
1870	REAL(wp) :: pmv_s !< Fangers predicted mean vote for summer clothing
1871	REAL(wp) :: pmva !< adjusted predicted mean vote
1872	REAL(wp) :: ptc !< perceived temp. for cold conditions (degree_C)
1873	REAL(wp) :: d_std !< factor to threshold for sultriness
1874	REAL(wp) :: pmvs !< pred. mean vote considering sultrieness
1875	REAL(wp) :: top !< Gagge's operative temperatures (degree_C)
1876
1877	INTEGER(iwp) :: ncount !< running index
1878	INTEGER(iwp) :: nerr_cold !< error number (cold conditions)
1879	INTEGER(iwp) :: nerr !< error number
1880
1881	LOGICAL :: sultrieness
1882	!
1883	!-- Initialise
1884	perct_ij = bio_fill_value
1885
1886	nerr = 0_iwp
1887	ncount = 0_iwp
1888	sultrieness = .FALSE.
1889	!
1890	!-- Tresholds: clothing insulation (account for model inaccuracies)
1891	!
1892	! summer clothing
1893	sclo = 0.44453_wp
1894	!
1895	! winter clothing
1896	wclo = 1.76267_wp
1897	!
1898	!-- decision: firstly calculate for winter or summer clothing
1899	IF ( ta <= 10._wp ) THEN
1900	!
1901	!-- First guess: winter clothing insulation: cold stress
1902	clo = wclo
1903	CALL fanger ( ta, tmrt, vp, ws, pair, clo, actlev, eta, pmva, top )
1904	pmv_w = pmva
1905
1906	IF ( pmva > 0._wp ) THEN
1907	!
1908	!-- Case summer clothing insulation: heat load ?
1909	clo = sclo
1910	CALL fanger ( ta, tmrt, vp, ws, pair, clo, actlev, eta, pmva, &
1911	top )
1912	pmv_s = pmva
1913	IF ( pmva <= 0._wp ) THEN
1914	!
1915	!-- Case: comfort achievable by varying clothing insulation
1916	! Between winter and summer set values
1917	CALL iso_ridder ( ta, tmrt, vp, ws, pair, actlev, eta, sclo, &
1918	pmv_s, wclo, pmv_w, eps, pmva, top, ncount, clo )
1919	IF ( ncount < 0_iwp ) THEN
1920	nerr = -1_iwp
1921	RETURN
1922	ENDIF
1923	ELSE IF ( pmva > 0.06_wp ) THEN
1924	clo = 0.5_wp
1925	CALL fanger ( ta, tmrt, vp, ws, pair, clo, actlev, eta, &
1926	pmva, top )
1927	ENDIF
1928	ELSE IF ( pmva < -0.11_wp ) THEN
1929	clo = 1.75_wp
1930	CALL fanger ( ta, tmrt, vp, ws, pair, clo, actlev, eta, pmva, &
1931	top )
1932	ENDIF
1933	ELSE
1934	!
1935	!-- First guess: summer clothing insulation: heat load
1936	clo = sclo
1937	CALL fanger ( ta, tmrt, vp, ws, pair, clo, actlev, eta, pmva, top )
1938	pmv_s = pmva
1939
1940	IF ( pmva < 0._wp ) THEN
1941	!
1942	!-- Case winter clothing insulation: cold stress ?
1943	clo = wclo
1944	CALL fanger ( ta, tmrt, vp, ws, pair, clo, actlev, eta, pmva, &
1945	top )
1946	pmv_w = pmva
1947
1948	IF ( pmva >= 0._wp ) THEN
1949	!
1950	!-- Case: comfort achievable by varying clothing insulation
1951	! between winter and summer set values
1952	CALL iso_ridder ( ta, tmrt, vp, ws, pair, actlev, eta, sclo, &
1953	pmv_s, wclo, pmv_w, eps, pmva, top, ncount, clo )
1954	IF ( ncount < 0_iwp ) THEN
1955	nerr = -1_iwp
1956	RETURN
1957	ENDIF
1958	ELSE IF ( pmva < -0.11_wp ) THEN
1959	clo = 1.75_wp
1960	CALL fanger ( ta, tmrt, vp, ws, pair, clo, actlev, eta, &
1961	pmva, top )
1962	ENDIF
1963	ELSE IF ( pmva > 0.06_wp ) THEN
1964	clo = 0.5_wp
1965	CALL fanger ( ta, tmrt, vp, ws, pair, clo, actlev, eta, pmva, &
1966	top )
1967	ENDIF
1968
1969	ENDIF
1970	!
1971	!-- Determine perceived temperature by regression equation + adjustments
1972	pmvs = pmva
1973	CALL perct_regression ( pmva, clo, perct_ij )
1974	ptc = perct_ij
1975	IF ( clo >= 1.75_wp .AND. pmva <= -0.11_wp ) THEN
1976	!
1977	!-- Adjust for cold conditions according to Gagge 1986
1978	CALL dpmv_cold ( pmva, ta, ws, tmrt, nerr_cold, d_pmv )
1979	IF ( nerr_cold > 0_iwp ) nerr = -5_iwp
1980	pmvs = pmva - d_pmv
1981	IF ( pmvs > -0.11_wp ) THEN
1982	d_pmv = 0._wp
1983	pmvs = -0.11_wp
1984	ENDIF
1985	CALL perct_regression ( pmvs, clo, perct_ij )
1986	ENDIF
1987	! clo_fanger = clo
1988	clon = clo
1989	IF ( clo > 0.5_wp .AND. perct_ij <= 8.73_wp ) THEN
1990	!
1991	!-- Required clothing insulation (ireq) is exclusively defined for
1992	! operative temperatures (top) less 10 (C) for a
1993	! reference wind of 0.2 m/s according to 8.73 (C) for 0.1 m/s
1994	clon = ireq_neutral ( perct_ij, ireq_minimal, nerr )
1995	clo = clon
1996	ENDIF
1997	CALL calc_sultr ( ptc, dgtcm, dgtcstd, sult_lim )
1998	sultrieness = .FALSE.
1999	d_std = -99._wp
2000	IF ( pmva > 0.06_wp .AND. clo <= 0.5_wp ) THEN
2001	!
2002	!-- Adjust for warm/humid conditions according to Gagge 1986
2003	CALL saturation_vapor_pressure ( ta, svp_ta )
2004	d_pmv = deltapmv ( pmva, ta, vp, svp_ta, tmrt, ws, nerr )
2005	pmvs = pmva + d_pmv
2006	CALL perct_regression ( pmvs, clo, perct_ij )
2007	IF ( sult_lim < 99._wp ) THEN
2008	IF ( (perct_ij - ptc) > sult_lim ) sultrieness = .TRUE.
2009	!
2010	!-- Set factor to threshold for sultriness
2011	IF ( dgtcstd /= 0_iwp ) THEN
2012	d_std = ( ( perct_ij - ptc ) - dgtcm ) / dgtcstd
2013	ENDIF
2014	ENDIF
2015	ENDIF
2016
2017	END SUBROUTINE calculate_perct_static
2018
2019	!------------------------------------------------------------------------------!
2020	! Description:
2021	! ------------
2022	!> The SUBROUTINE calculates the saturation water vapour pressure
2023	!> (hPa = hecto Pascal) for a given temperature ta (degC).
2024	!> For example, ta can be the air temperature or the dew point temperature.
2025	!------------------------------------------------------------------------------!
2026	SUBROUTINE saturation_vapor_pressure( ta, svp_ta )
2027
2028	IMPLICIT NONE
2029
2030	REAL(wp), INTENT ( IN ) :: ta !< ambient air temperature (degC)
2031	REAL(wp), INTENT ( OUT ) :: svp_ta !< saturation water vapour pressure (hPa)
2032
2033	REAL(wp) :: b
2034	REAL(wp) :: c
2035
2036
2037	IF ( ta < 0._wp ) THEN
2038	!
2039	!-- ta < 0 (degC): saturation water vapour pressure over ice
2040	b = 17.84362_wp
2041	c = 245.425_wp
2042	ELSE
2043	!
2044	!-- ta >= 0 (degC): saturation water vapour pressure over water
2045	b = 17.08085_wp
2046	c = 234.175_wp
2047	ENDIF
2048	!
2049	!-- Saturation water vapour pressure
2050	svp_ta = 6.1078_wp * EXP ( b * ta / ( c + ta ) )
2051
2052	END SUBROUTINE saturation_vapor_pressure
2053
2054	!------------------------------------------------------------------------------!
2055	! Description:
2056	! ------------
2057	!> Find the clothing insulation value clo_res (clo) to make Fanger's Predicted
2058	!> Mean Vote (PMV) equal comfort (pmva=0) for actual meteorological conditions
2059	!> (ta,tmrt, vp, ws, pair) and values of individual's activity level
2060	!------------------------------------------------------------------------------!
2061	SUBROUTINE iso_ridder( ta, tmrt, vp, ws, pair, actlev, eta, sclo, &
2062	pmv_s, wclo, pmv_w, eps, pmva, top, nerr, &
2063	clo_res )
2064
2065	IMPLICIT NONE
2066	!
2067	!-- Input variables of argument list:
2068	REAL(wp), INTENT ( IN ) :: ta !< Ambient temperature (degC)
2069	REAL(wp), INTENT ( IN ) :: tmrt !< Mean radiant temperature (degC)
2070	REAL(wp), INTENT ( IN ) :: vp !< Water vapour pressure (hPa)
2071	REAL(wp), INTENT ( IN ) :: ws !< Wind speed (m/s) 1 m above ground
2072	REAL(wp), INTENT ( IN ) :: pair !< Barometric pressure (hPa)
2073	REAL(wp), INTENT ( IN ) :: actlev !< Individuals activity level per unit surface area (W/m2)
2074	REAL(wp), INTENT ( IN ) :: eta !< Individuals work efficiency (dimensionless)
2075	REAL(wp), INTENT ( IN ) :: sclo !< Lower threshold of bracketing clothing insulation (clo)
2076	REAL(wp), INTENT ( IN ) :: wclo !< Upper threshold of bracketing clothing insulation (clo)
2077	REAL(wp), INTENT ( IN ) :: eps !< (0.05) accuracy in clothing insulation (clo) for
2078	! evaluation the root of Fanger's PMV (pmva=0)
2079	REAL(wp), INTENT ( IN ) :: pmv_w !< Fanger's PMV corresponding to wclo
2080	REAL(wp), INTENT ( IN ) :: pmv_s !< Fanger's PMV corresponding to sclo
2081	!
2082	! Output variables of argument list:
2083	REAL(wp), INTENT ( OUT ) :: pmva !< 0 (set to zero, because clo is evaluated for comfort)
2084	REAL(wp), INTENT ( OUT ) :: top !< Operative temperature (degC) at found root of Fanger's PMV
2085	REAL(wp), INTENT ( OUT ) :: clo_res !< Resulting clothing insulation value (clo)
2086	INTEGER(iwp), INTENT ( OUT ) :: nerr !< Error status / quality flag
2087	! nerr >= 0, o.k., and nerr is the number of iterations for
2088	! convergence
2089	! nerr = -1: error = malfunction of Ridder's convergence method
2090	! nerr = -2: error = maximum iterations (max_iteration) exceeded
2091	! nerr = -3: error = root not bracketed between sclo and wclo
2092	!
2093	!-- Type of program variables
2094	INTEGER(iwp), PARAMETER :: max_iteration = 15_iwp !< max number of iterations
2095	REAL(wp), PARAMETER :: guess_0 = -1.11e30_wp !< initial guess
2096	REAL(wp) :: x_ridder !< current guess for clothing insulation (clo)
2097	REAL(wp) :: clo_lower !< lower limit of clothing insulation (clo)
2098	REAL(wp) :: clo_upper !< upper limit of clothing insulation (clo)
2099	REAL(wp) :: x_lower !< lower guess for clothing insulation (clo)
2100	REAL(wp) :: x_upper !< upper guess for clothing insulation (clo)
2101	REAL(wp) :: x_average !< average of x_lower and x_upper (clo)
2102	REAL(wp) :: x_new !< preliminary result for clothing insulation (clo)
2103	REAL(wp) :: y_lower !< predicted mean vote for summer clothing
2104	REAL(wp) :: y_upper !< predicted mean vote for winter clothing
2105	REAL(wp) :: y_average !< average of y_lower and y_upper
2106	REAL(wp) :: y_new !< preliminary result for pred. mean vote
2107	REAL(wp) :: sroot !< sqrt of PMV-guess
2108	INTEGER(iwp) :: j !< running index
2109	!
2110	!-- Initialise
2111	nerr = 0_iwp
2112	!
2113	!-- Set pmva = 0 (comfort): Root of PMV depending on clothing insulation
2114	x_ridder = bio_fill_value
2115	pmva = 0._wp
2116	clo_lower = sclo
2117	y_lower = pmv_s
2118	clo_upper = wclo
2119	y_upper = pmv_w
2120	IF ( ( y_lower > 0._wp .AND. y_upper < 0._wp ) .OR. &
2121	( y_lower < 0._wp .AND. y_upper > 0._wp ) ) THEN
2122	x_lower = clo_lower
2123	x_upper = clo_upper
2124	x_ridder = guess_0
2125
2126	DO j = 1_iwp, max_iteration
2127	x_average = 0.5_wp * ( x_lower + x_upper )
2128	CALL fanger ( ta, tmrt, vp, ws, pair, x_average, actlev, eta, &
2129	y_average, top )
2130	sroot = SQRT ( y_average*2 - y_lower y_upper )
2131	IF ( sroot == 0._wp ) THEN
2132	clo_res = x_average
2133	nerr = j
2134	RETURN
2135	ENDIF
2136	x_new = x_average + ( x_average - x_lower ) * &
2137	( SIGN ( 1._wp, y_lower - y_upper ) * y_average / sroot )
2138	IF ( ABS ( x_new - x_ridder ) <= eps ) THEN
2139	clo_res = x_ridder
2140	nerr = j
2141	RETURN
2142	ENDIF
2143	x_ridder = x_new
2144	CALL fanger ( ta, tmrt, vp, ws, pair, x_ridder, actlev, eta, &
2145	y_new, top )
2146	IF ( y_new == 0._wp ) THEN
2147	clo_res = x_ridder
2148	nerr = j
2149	RETURN
2150	ENDIF
2151	IF ( SIGN ( y_average, y_new ) /= y_average ) THEN
2152	x_lower = x_average
2153	y_lower = y_average
2154	x_upper = x_ridder
2155	y_upper = y_new
2156	ELSE IF ( SIGN ( y_lower, y_new ) /= y_lower ) THEN
2157	x_upper = x_ridder
2158	y_upper = y_new
2159	ELSE IF ( SIGN ( y_upper, y_new ) /= y_upper ) THEN
2160	x_lower = x_ridder
2161	y_lower = y_new
2162	ELSE
2163	!
2164	!-- Never get here in x_ridder: singularity in y
2165	nerr = -1_iwp
2166	clo_res = x_ridder
2167	RETURN
2168	ENDIF
2169	IF ( ABS ( x_upper - x_lower ) <= eps ) THEN
2170	clo_res = x_ridder
2171	nerr = j
2172	RETURN
2173	ENDIF
2174	ENDDO
2175	!
2176	!-- x_ridder exceed maximum iterations
2177	nerr = -2_iwp
2178	clo_res = y_new
2179	RETURN
2180	ELSE IF ( y_lower == 0. ) THEN
2181	x_ridder = clo_lower
2182	ELSE IF ( y_upper == 0. ) THEN
2183	x_ridder = clo_upper
2184	ELSE
2185	!
2186	!-- x_ridder not bracketed by u_clo and o_clo
2187	nerr = -3_iwp
2188	clo_res = x_ridder
2189	RETURN
2190	ENDIF
2191
2192	END SUBROUTINE iso_ridder
2193
2194	!------------------------------------------------------------------------------!
2195	! Description:
2196	! ------------
2197	!> Regression relations between perceived temperature (perct) and (adjusted)
2198	!> PMV. The regression presumes the Klima-Michel settings for reference
2199	!> individual and reference environment.
2200	!------------------------------------------------------------------------------!
2201	SUBROUTINE perct_regression( pmv, clo, perct_ij )
2202
2203	IMPLICIT NONE
2204
2205	REAL(wp), INTENT ( IN ) :: pmv !< Fangers predicted mean vote (dimensionless)
2206	REAL(wp), INTENT ( IN ) :: clo !< clothing insulation index (clo)
2207
2208	REAL(wp), INTENT ( OUT ) :: perct_ij !< perct (degC) corresponding to given PMV / clo
2209
2210	IF ( pmv <= -0.11_wp ) THEN
2211	perct_ij = 5.805_wp + 12.6784_wp * pmv
2212	ELSE
2213	IF ( pmv >= + 0.01_wp ) THEN
2214	perct_ij = 16.826_wp + 6.163_wp * pmv
2215	ELSE
2216	perct_ij = 21.258_wp - 9.558_wp * clo
2217	ENDIF
2218	ENDIF
2219
2220	END SUBROUTINE perct_regression
2221
2222	!------------------------------------------------------------------------------!
2223	! Description:
2224	! ------------
2225	!> FANGER.F90
2226	!>
2227	!> SI-VERSION: ACTLEV W m-2, DAMPFDRUCK hPa
2228	!> Berechnet das aktuelle Predicted Mean Vote nach Fanger
2229	!>
2230	!> The case of free convection (ws < 0.1 m/s) is dealt with ws = 0.1 m/s
2231	!------------------------------------------------------------------------------!
2232	SUBROUTINE fanger( ta, tmrt, pa, in_ws, pair, in_clo, actlev, eta, pmva, top )
2233
2234	IMPLICIT NONE
2235	!
2236	!-- Input variables of argument list:
2237	REAL(wp), INTENT ( IN ) :: ta !< Ambient air temperature (degC)
2238	REAL(wp), INTENT ( IN ) :: tmrt !< Mean radiant temperature (degC)
2239	REAL(wp), INTENT ( IN ) :: pa !< Water vapour pressure (hPa)
2240	REAL(wp), INTENT ( IN ) :: pair !< Barometric pressure (hPa) at site
2241	REAL(wp), INTENT ( IN ) :: in_ws !< Wind speed (m/s) 1 m above ground
2242	REAL(wp), INTENT ( IN ) :: in_clo !< Clothing insulation (clo)
2243	REAL(wp), INTENT ( IN ) :: actlev !< Individuals activity level per unit surface area (W/m2)
2244	REAL(wp), INTENT ( IN ) :: eta !< Individuals mechanical work efficiency (dimensionless)
2245	!
2246	!-- Output variables of argument list:
2247	REAL(wp), INTENT ( OUT ) :: pmva !< Actual Predicted Mean Vote (PMV,
2248	! dimensionless) according to Fanger corresponding to meteorological
2249	! (ta,tmrt,pa,ws,pair) and individual variables (clo, actlev, eta)
2250	REAL(wp), INTENT ( OUT ) :: top !< operative temperature (degC)
2251	!
2252	!-- Internal variables
2253	REAL(wp) :: f_cl !< Increase in surface due to clothing (factor)
2254	REAL(wp) :: heat_convection !< energy loss by autocnvection (W)
2255	REAL(wp) :: activity !< persons activity (must stay == actlev, W)
2256	REAL(wp) :: t_skin_aver !< average skin temperature (degree_C)
2257	REAL(wp) :: bc !< preliminary result storage
2258	REAL(wp) :: cc !< preliminary result storage
2259	REAL(wp) :: dc !< preliminary result storage
2260	REAL(wp) :: ec !< preliminary result storage
2261	REAL(wp) :: gc !< preliminary result storage
2262	REAL(wp) :: t_clothing !< clothing temperature (degree_C)
2263	REAL(wp) :: hr !< radiational heat resistence
2264	REAL(wp) :: clo !< clothing insulation index (clo)
2265	REAL(wp) :: ws !< wind speed (m/s)
2266	REAL(wp) :: z1 !< Empiric factor for the adaption of the heat
2267	! ballance equation to the psycho-physical scale (Equ. 40 in FANGER)
2268	REAL(wp) :: z2 !< Water vapour diffution through the skin
2269	REAL(wp) :: z3 !< Sweat evaporation from the skin surface
2270	REAL(wp) :: z4 !< Loss of latent heat through respiration
2271	REAL(wp) :: z5 !< Loss of radiational heat
2272	REAL(wp) :: z6 !< Heat loss through forced convection
2273	INTEGER(iwp) :: i !< running index
2274	!
2275	!-- Clo must be > 0. to avoid div. by 0!
2276	clo = in_clo
2277	IF ( clo <= 0._wp ) clo = .001_wp
2278	!
2279	!-- f_cl = Increase in surface due to clothing
2280	f_cl = 1._wp + .15_wp * clo
2281	!
2282	!-- Case of free convection (ws < 0.1 m/s ) not considered
2283	ws = in_ws
2284	IF ( ws < .1_wp ) THEN
2285	ws = .1_wp
2286	ENDIF
2287	!
2288	!-- Heat_convection = forced convection
2289	heat_convection = 12.1_wp * SQRT ( ws * pair / 1013.25_wp )
2290	!
2291	!-- Activity = inner heat produktion per standardized surface
2292	activity = actlev * ( 1._wp - eta )
2293	!
2294	!-- T_skin_aver = average skin temperature
2295	t_skin_aver = 35.7_wp - .0275_wp * activity
2296	!
2297	!-- Calculation of constants for evaluation below
2298	bc = .155_wp * clo * 3.96_wp * 10._wp*( -8 ) f_cl
2299	cc = f_cl * heat_convection
2300	ec = .155_wp * clo
2301	dc = ( 1._wp + ec * cc ) / bc
2302	gc = ( t_skin_aver + bc * ( tmrt + degc_to_k )*4 + ec cc * ta ) / bc
2303	!
2304	!-- Calculation of clothing surface temperature (t_clothing) based on
2305	! Newton-approximation with air temperature as initial guess
2306	t_clothing = ta
2307	DO i = 1, 3
2308	t_clothing = t_clothing - ( ( t_clothing + degc_to_k )**4 + t_clothing &
2309	* dc - gc ) / ( 4._wp * ( t_clothing + degc_to_k )**3 + dc )
2310	ENDDO
2311	!
2312	!-- Empiric factor for the adaption of the heat ballance equation
2313	! to the psycho-physical scale (Equ. 40 in FANGER)
2314	z1 = ( .303_wp * EXP ( -.036_wp * actlev ) + .0275_wp )
2315	!
2316	!-- Water vapour diffution through the skin
2317	z2 = .31_wp * ( 57.3_wp - .07_wp * activity-pa )
2318	!
2319	!-- Sweat evaporation from the skin surface
2320	z3 = .42_wp * ( activity - 58._wp )
2321	!
2322	!-- Loss of latent heat through respiration
2323	z4 = .0017_wp * actlev * ( 58.7_wp - pa ) + .0014_wp * actlev * &
2324	( 34._wp - ta )
2325	!
2326	!-- Loss of radiational heat
2327	z5 = 3.96e-8_wp * f_cl * ( ( t_clothing + degc_to_k )**4 - ( tmrt + &
2328	degc_to_k )**4 )
2329	IF ( ABS ( t_clothing - tmrt ) > 0._wp ) THEN
2330	hr = z5 / f_cl / ( t_clothing - tmrt )
2331	ELSE
2332	hr = 0._wp
2333	ENDIF
2334	!
2335	!-- Heat loss through forced convection cc*(t_clothing-TT)
2336	z6 = cc * ( t_clothing - ta )
2337	!
2338	!-- Predicted Mean Vote
2339	pmva = z1 * ( activity - z2 - z3 - z4 - z5 - z6 )
2340	!
2341	!-- Operative temperatur
2342	top = ( hr * tmrt + heat_convection * ta ) / ( hr + heat_convection )
2343
2344	END SUBROUTINE fanger
2345
2346	!------------------------------------------------------------------------------!
2347	! Description:
2348	! ------------
2349	!> For pmva > 0 and clo =0.5 the increment (deltapmv) is calculated
2350	!> that converts pmva into Gagge's et al. (1986) PMV*.
2351	!------------------------------------------------------------------------------!
2352	REAL(wp) FUNCTION deltapmv( pmva, ta, vp, svp_ta, tmrt, ws, nerr )
2353
2354	IMPLICIT NONE
2355	!
2356	!-- Input variables of argument list:
2357	REAL(wp), INTENT ( IN ) :: pmva !< Actual Predicted Mean Vote (PMV) according to Fanger
2358	REAL(wp), INTENT ( IN ) :: ta !< Ambient temperature (degC) at screen level
2359	REAL(wp), INTENT ( IN ) :: vp !< Water vapour pressure (hPa) at screen level
2360	REAL(wp), INTENT ( IN ) :: svp_ta !< Saturation water vapour pressure (hPa) at ta
2361	REAL(wp), INTENT ( IN ) :: tmrt !< Mean radiant temperature (degC) at screen level
2362	REAL(wp), INTENT ( IN ) :: ws !< Wind speed (m/s) 1 m above ground
2363	!
2364	!-- Output variables of argument list:
2365	INTEGER(iwp), INTENT ( OUT ) :: nerr !< Error status / quality flag
2366	! 0 = o.k.
2367	! -2 = pmva outside valid regression range
2368	! -3 = rel. humidity set to 5 % or 95 %, respectively
2369	! -4 = deltapmv set to avoid pmvs < 0
2370	!
2371	!-- Internal variable types:
2372	REAL(wp) :: pmv !<
2373	REAL(wp) :: pa_p50 !<
2374	REAL(wp) :: pa !<
2375	REAL(wp) :: apa !<
2376	REAL(wp) :: dapa !<
2377	REAL(wp) :: sqvel !<
2378	REAL(wp) :: dtmrt !<
2379	REAL(wp) :: p10 !<
2380	REAL(wp) :: p95 !<
2381	REAL(wp) :: gew !<
2382	REAL(wp) :: gew2 !<
2383	REAL(wp) :: dpmv_1 !<
2384	REAL(wp) :: dpmv_2 !<
2385	REAL(wp) :: pmvs !<
2386	REAL(wp) :: bpmv(0:7) !<
2387	REAL(wp) :: bpa_p50(0:7) !<
2388	REAL(wp) :: bpa(0:7) !<
2389	REAL(wp) :: bapa(0:7) !<
2390	REAL(wp) :: bdapa(0:7) !<
2391	REAL(wp) :: bsqvel(0:7) !<
2392	REAL(wp) :: bta(0:7) !<
2393	REAL(wp) :: bdtmrt(0:7) !<
2394	REAL(wp) :: aconst(0:7) !<
2395	INTEGER(iwp) :: nreg !<
2396
2397	DATA bpmv / &
2398	-0.0556602_wp, -0.1528680_wp, -0.2336104_wp, -0.2789387_wp, -0.3551048_wp,&
2399	-0.4304076_wp, -0.4884961_wp, -0.4897495_wp /
2400	DATA bpa_p50 / &
2401	-0.1607154_wp, -0.4177296_wp, -0.4120541_wp, -0.0886564_wp, +0.4285938_wp,&
2402	+0.6281256_wp, +0.5067361_wp, +0.3965169_wp /
2403	DATA bpa / &
2404	+0.0580284_wp, +0.0836264_wp, +0.1009919_wp, +0.1020777_wp, +0.0898681_wp,&
2405	+0.0839116_wp, +0.0853258_wp, +0.0866589_wp /
2406	DATA bapa / &
2407	-1.7838788_wp, -2.9306231_wp, -1.6350334_wp, +0.6211547_wp, +3.3918083_wp,&
2408	+5.5521025_wp, +8.4897418_wp, +16.6265851_wp /
2409	DATA bdapa / &
2410	+1.6752720_wp, +2.7379504_wp, +1.2940526_wp, -1.0985759_wp, -3.9054732_wp,&
2411	-6.0403012_wp, -8.9437119_wp, -17.0671201_wp /
2412	DATA bsqvel / &
2413	-0.0315598_wp, -0.0286272_wp, -0.0009228_wp, +0.0483344_wp, +0.0992366_wp,&
2414	+0.1491379_wp, +0.1951452_wp, +0.2133949_wp /
2415	DATA bta / &
2416	+0.0953986_wp, +0.1524760_wp, +0.0564241_wp, -0.0893253_wp, -0.2398868_wp,&
2417	-0.3515237_wp, -0.5095144_wp, -0.9469258_wp /
2418	DATA bdtmrt / &
2419	-0.0004672_wp, -0.0000514_wp, -0.0018037_wp, -0.0049440_wp, -0.0069036_wp,&
2420	-0.0075844_wp, -0.0079602_wp, -0.0089439_wp /
2421	DATA aconst / &
2422	+1.8686215_wp, +3.4260713_wp, +2.0116185_wp, -0.7777552_wp, -4.6715853_wp,&
2423	-7.7314281_wp, -11.7602578_wp, -23.5934198_wp /
2424	!
2425	!-- Test for compliance with regression range
2426	IF ( pmva < -1.0_wp .OR. pmva > 7.0_wp ) THEN
2427	nerr = -2_iwp
2428	ELSE
2429	nerr = 0_iwp
2430	ENDIF
2431	!
2432	!-- Initialise classic PMV
2433	pmv = pmva
2434	!
2435	!-- Water vapour pressure of air
2436	p10 = 0.05_wp * svp_ta
2437	p95 = 1.00_wp * svp_ta
2438	IF ( vp >= p10 .AND. vp <= p95 ) THEN
2439	pa = vp
2440	ELSE
2441	nerr = -3_iwp
2442	IF ( vp < p10 ) THEN
2443	!
2444	!-- Due to conditions of regression: r.H. >= 5 %
2445	pa = p10
2446	ELSE
2447	!
2448	!-- Due to conditions of regression: r.H. <= 95 %
2449	pa = p95
2450	ENDIF
2451	ENDIF
2452	IF ( pa > 0._wp ) THEN
2453	!
2454	!-- Natural logarithm of pa
2455	apa = LOG ( pa )
2456	ELSE
2457	apa = -5._wp
2458	ENDIF
2459	!
2460	!-- Ratio actual water vapour pressure to that of a r.H. of 50 %
2461	pa_p50 = 0.5_wp * svp_ta
2462	IF ( pa_p50 > 0._wp .AND. pa > 0._wp ) THEN
2463	dapa = apa - LOG ( pa_p50 )
2464	pa_p50 = pa / pa_p50
2465	ELSE
2466	dapa = -5._wp
2467	pa_p50 = 0._wp
2468	ENDIF
2469	!
2470	!-- Square root of wind velocity
2471	IF ( ws >= 0._wp ) THEN
2472	sqvel = SQRT ( ws )
2473	ELSE
2474	sqvel = 0._wp
2475	ENDIF
2476	!
2477	!-- Air temperature
2478	! ta = ta
2479	!-- Difference mean radiation to air temperature
2480	dtmrt = tmrt - ta
2481	!
2482	!-- Select the valid regression coefficients
2483	nreg = INT ( pmv )
2484	IF ( nreg < 0_iwp ) THEN
2485	!
2486	!-- value of the FUNCTION in the case pmv <= -1
2487	deltapmv = 0._wp
2488	RETURN
2489	ENDIF
2490	gew = MOD ( pmv, 1._wp )
2491	IF ( gew < 0._wp ) gew = 0._wp
2492	IF ( nreg > 5_iwp ) THEN
2493	! nreg=6
2494	nreg = 5_iwp
2495	gew = pmv - 5._wp
2496	gew2 = pmv - 6._wp
2497	IF ( gew2 > 0_iwp ) THEN
2498	gew = ( gew - gew2 ) / gew
2499	ENDIF
2500	ENDIF
2501	!
2502	!-- Regression valid for 0. <= pmv <= 6.
2503	dpmv_1 = &
2504	+ bpa ( nreg ) * pa &
2505	+ bpmv ( nreg ) * pmv &
2506	+ bapa ( nreg ) * apa &
2507	+ bta ( nreg ) * ta &
2508	+ bdtmrt ( nreg ) * dtmrt &
2509	+ bdapa ( nreg ) * dapa &
2510	+ bsqvel ( nreg ) * sqvel &
2511	+ bpa_p50 ( nreg ) * pa_p50 &
2512	+ aconst ( nreg )
2513
2514	dpmv_2 = 0._wp
2515	IF ( nreg < 6_iwp ) THEN
2516	dpmv_2 = &
2517	+ bpa ( nreg + 1_iwp ) * pa &
2518	+ bpmv ( nreg + 1_iwp ) * pmv &
2519	+ bapa ( nreg + 1_iwp ) * apa &
2520	+ bta ( nreg + 1_iwp ) * ta &
2521	+ bdtmrt ( nreg + 1_iwp ) * dtmrt &
2522	+ bdapa ( nreg + 1_iwp ) * dapa &
2523	+ bsqvel ( nreg + 1_iwp ) * sqvel &
2524	+ bpa_p50 ( nreg + 1_iwp ) * pa_p50 &
2525	+ aconst ( nreg + 1_iwp )
2526	ENDIF
2527	!
2528	!-- Calculate pmv modification
2529	deltapmv = ( 1._wp - gew ) * dpmv_1 + gew * dpmv_2
2530	pmvs = pmva + deltapmv
2531	IF ( ( pmvs ) < 0._wp ) THEN
2532	!
2533	!-- Prevent negative pmv* due to problems with clothing insulation
2534	nerr = -4_iwp
2535	IF ( pmvs > -0.11_wp ) THEN
2536	!
2537	!-- Threshold from FUNCTION perct_regression for winter clothing insulation
2538	deltapmv = deltapmv + 0.11_wp
2539	ELSE
2540	!
2541	!-- Set pmvs to "0" for compliance with summer clothing insulation
2542	deltapmv = -1._wp * pmva
2543	ENDIF
2544	ENDIF
2545
2546	END FUNCTION deltapmv
2547
2548	!------------------------------------------------------------------------------!
2549	! Description:
2550	! ------------
2551	!> The subroutine "calc_sultr" returns a threshold value to perceived
2552	!> temperature allowing to decide whether the actual perceived temperature
2553	!> is linked to perecption of sultriness. The threshold values depends
2554	!> on the Fanger's classical PMV, expressed here as perceived temperature
2555	!> perct.
2556	!------------------------------------------------------------------------------!
2557	SUBROUTINE calc_sultr( perct_ij, dperctm, dperctstd, sultr_res )
2558
2559	IMPLICIT NONE
2560	!
2561	!-- Input of the argument list:
2562	REAL(wp), INTENT ( IN ) :: perct_ij !< Classical perceived temperature: Base is Fanger's PMV
2563	!
2564	!-- Additional output variables of argument list:
2565	REAL(wp), INTENT ( OUT ) :: dperctm !< Mean deviation perct (classical gt) to gt* (rational gt
2566	! calculated based on Gagge's rational PMV*)
2567	REAL(wp), INTENT ( OUT ) :: dperctstd !< dperctm plus its standard deviation times a factor
2568	! determining the significance to perceive sultriness
2569	REAL(wp), INTENT ( OUT ) :: sultr_res
2570	!
2571	!-- Types of coefficients mean deviation: third order polynomial
2572	REAL(wp), PARAMETER :: dperctka = +7.5776086_wp
2573	REAL(wp), PARAMETER :: dperctkb = -0.740603_wp
2574	REAL(wp), PARAMETER :: dperctkc = +0.0213324_wp
2575	REAL(wp), PARAMETER :: dperctkd = -0.00027797237_wp
2576	!
2577	!-- Types of coefficients mean deviation plus standard deviation
2578	! regression coefficients: third order polynomial
2579	REAL(wp), PARAMETER :: dperctsa = +0.0268918_wp
2580	REAL(wp), PARAMETER :: dperctsb = +0.0465957_wp
2581	REAL(wp), PARAMETER :: dperctsc = -0.00054709752_wp
2582	REAL(wp), PARAMETER :: dperctsd = +0.0000063714823_wp
2583	!
2584	!-- Factor to mean standard deviation defining SIGNificance for
2585	! sultriness
2586	REAL(wp), PARAMETER :: faktor = 1._wp
2587	!
2588	!-- Initialise
2589	sultr_res = +99._wp
2590	dperctm = 0._wp
2591	dperctstd = 999999._wp
2592
2593	IF ( perct_ij < 16.826_wp .OR. perct_ij > 56._wp ) THEN
2594	!
2595	!-- Unallowed value of classical perct!
2596	RETURN
2597	ENDIF
2598	!
2599	!-- Mean deviation dependent on perct
2600	dperctm = dperctka + dperctkb * perct_ij + dperctkc * perct_ij**2._wp + &
2601	dperctkd * perct_ij**3._wp
2602	!
2603	!-- Mean deviation plus its standard deviation
2604	dperctstd = dperctsa + dperctsb * perct_ij + dperctsc * perct_ij**2._wp + &
2605	dperctsd * perct_ij**3._wp
2606	!
2607	!-- Value of the FUNCTION
2608	sultr_res = dperctm + faktor * dperctstd
2609	IF ( ABS ( sultr_res ) > 99._wp ) sultr_res = +99._wp
2610
2611	END SUBROUTINE calc_sultr
2612
2613	!------------------------------------------------------------------------------!
2614	! Description:
2615	! ------------
2616	!> Multiple linear regression to calculate an increment delta_cold,
2617	!> to adjust Fanger's classical PMV (pmva) by Gagge's 2 node model,
2618	!> applying Fanger's convective heat transfer coefficient, hcf.
2619	!> Wind velocitiy of the reference environment is 0.10 m/s
2620	!------------------------------------------------------------------------------!
2621	SUBROUTINE dpmv_cold( pmva, ta, ws, tmrt, nerr, dpmv_cold_res )
2622
2623	IMPLICIT NONE
2624	!
2625	!-- Type of input arguments
2626	REAL(wp), INTENT ( IN ) :: pmva !< Fanger's classical predicted mean vote
2627	REAL(wp), INTENT ( IN ) :: ta !< Air temperature 2 m above ground (degC)
2628	REAL(wp), INTENT ( IN ) :: ws !< Relative wind velocity 1 m above ground (m/s)
2629	REAL(wp), INTENT ( IN ) :: tmrt !< Mean radiant temperature (degC)
2630	!
2631	!-- Type of output argument
2632	INTEGER(iwp), INTENT ( OUT ) :: nerr !< Error indicator: 0 = o.k., +1 = denominator for intersection = 0
2633	REAL(wp), INTENT ( OUT ) :: dpmv_cold_res !< Increment to adjust pmva according to the results of Gagge's
2634	! 2 node model depending on the input
2635	!
2636	!-- Type of program variables
2637	REAL(wp) :: delta_cold(3)
2638	REAL(wp) :: pmv_cross(2)
2639	REAL(wp) :: reg_a(3)
2640	REAL(wp) :: coeff(3,5)
2641	REAL(wp) :: r_nenner
2642	REAL(wp) :: pmvc
2643	REAL(wp) :: dtmrt
2644	REAL(wp) :: sqrt_ws
2645	INTEGER(iwp) :: i
2646	! INTEGER(iwp) :: j
2647	INTEGER(iwp) :: i_bin
2648	!
2649	!-- Coefficient of the 3 regression lines
2650	! 1:const 2:pmvc 3:ta 4:sqrt_ws 5:dtmrt
2651	coeff(1,1:5) = &
2652	(/ +0.161_wp, +0.130_wp, -1.125E-03_wp, +1.106E-03_wp, -4.570E-04_wp /)
2653	coeff(2,1:5) = &
2654	(/ 0.795_wp, 0.713_wp, -8.880E-03_wp, -1.803E-03_wp, -2.816E-03_wp/)
2655	coeff(3,1:5) = &
2656	(/ +0.05761_wp, +0.458_wp, -1.829E-02_wp, -5.577E-03_wp, -1.970E-03_wp /)
2657	!
2658	!-- Initialise
2659	nerr = 0_iwp
2660	dpmv_cold_res = 0._wp
2661	pmvc = pmva
2662	dtmrt = tmrt - ta
2663	sqrt_ws = ws
2664	IF ( sqrt_ws < 0.10_wp ) THEN
2665	sqrt_ws = 0.10_wp
2666	ELSE
2667	sqrt_ws = SQRT ( sqrt_ws )
2668	ENDIF
2669
2670	DO i = 1, 3
2671	delta_cold (i) = 0._wp
2672	IF ( i < 3 ) THEN
2673	pmv_cross (i) = pmvc
2674	ENDIF
2675	ENDDO
2676
2677	DO i = 1, 3
2678	!
2679	!-- Regression constant for given meteorological variables
2680	reg_a(i) = coeff(i, 1) + coeff(i, 3) * ta + coeff(i, 4) * &
2681	sqrt_ws + coeff(i,5)*dtmrt
2682	delta_cold(i) = reg_a(i) + coeff(i, 2) * pmvc
2683	ENDDO
2684	!
2685	!-- Intersection points of regression lines in terms of Fanger's PMV
2686	DO i = 1, 2
2687	r_nenner = coeff (i, 2) - coeff (i + 1, 2)
2688	IF ( ABS ( r_nenner ) > 0.00001_wp ) THEN
2689	pmv_cross(i) = ( reg_a (i + 1) - reg_a (i) ) / r_nenner
2690	ELSE
2691	nerr = 1_iwp
2692	RETURN
2693	ENDIF
2694	ENDDO
2695
2696	i_bin = 3
2697	DO i = 1, 2
2698	IF ( pmva > pmv_cross (i) ) THEN
2699	i_bin = i
2700	EXIT
2701	ENDIF
2702	ENDDO
2703	!
2704	!-- Adjust to operative temperature scaled according
2705	! to classical PMV (Fanger)
2706	dpmv_cold_res = delta_cold(i_bin) - dpmv_adj(pmva)
2707
2708	END SUBROUTINE dpmv_cold
2709
2710	!------------------------------------------------------------------------------!
2711	! Description:
2712	! ------------
2713	!> Calculates the summand dpmv_adj adjusting to the operative temperature
2714	!> scaled according to classical PMV (Fanger)
2715	!> Reference environment: v_1m = 0.10 m/s, dTMRT = 0 K, r.h. = 50 %
2716	!------------------------------------------------------------------------------!
2717	REAL(wp) FUNCTION dpmv_adj( pmva )
2718
2719	IMPLICIT NONE
2720
2721	REAL(wp), INTENT ( IN ) :: pmva
2722	INTEGER(iwp), PARAMETER :: n_bin = 3
2723	INTEGER(iwp), PARAMETER :: n_ca = 0
2724	INTEGER(iwp), PARAMETER :: n_ce = 3
2725	REAL(wp), dimension (n_bin, n_ca:n_ce) :: coef
2726
2727	REAL(wp) :: pmv
2728	INTEGER(iwp) :: i, i_bin
2729
2730	! range_1 range_2 range_3
2731	DATA (coef(i, 0), i = 1, n_bin) /0.0941540_wp, -0.1506620_wp, -0.0871439_wp/
2732	DATA (coef(i, 1), i = 1, n_bin) /0.0783162_wp, -1.0612651_wp, 0.1695040_wp/
2733	DATA (coef(i, 2), i = 1, n_bin) /0.1350144_wp, -1.0049144_wp, -0.0167627_wp/
2734	DATA (coef(i, 3), i = 1, n_bin) /0.1104037_wp, -0.2005277_wp, -0.0003230_wp/
2735
2736	IF ( pmva <= -2.1226_wp ) THEN
2737	i_bin = 3_iwp
2738	ELSE IF ( pmva <= -1.28_wp ) THEN
2739	i_bin = 2_iwp
2740	ELSE
2741	i_bin = 1_iwp
2742	ENDIF
2743
2744	dpmv_adj = coef( i_bin, n_ca )
2745	pmv = 1._wp
2746
2747	DO i = n_ca + 1, n_ce
2748	pmv = pmv * pmva
2749	dpmv_adj = dpmv_adj + coef(i_bin, i) * pmv
2750	ENDDO
2751	RETURN
2752	END FUNCTION dpmv_adj
2753
2754	!------------------------------------------------------------------------------!
2755	! Description:
2756	! ------------
2757	!> Based on perceived temperature (perct) as input, ireq_neutral determines
2758	!> the required clothing insulation (clo) for thermally neutral conditions
2759	!> (neither body cooling nor body heating). It is related to the Klima-
2760	!> Michel activity level (134.682 W/m2). IREQ_neutral is only defined
2761	!> for perct < 10 (degC)
2762	!------------------------------------------------------------------------------!
2763	REAL(wp) FUNCTION ireq_neutral( perct_ij, ireq_minimal, nerr )
2764
2765	IMPLICIT NONE
2766	!
2767	!-- Type declaration of arguments
2768	REAL(wp), INTENT ( IN ) :: perct_ij
2769	REAL(wp), INTENT ( OUT ) :: ireq_minimal
2770	INTEGER(iwp), INTENT ( OUT ) :: nerr
2771	!
2772	!-- Type declaration for internal varables
2773	REAL(wp) :: top02
2774	!
2775	!-- Initialise
2776	nerr = 0_iwp
2777	!
2778	!-- Convert perceived temperature from basis 0.1 m/s to basis 0.2 m/s
2779	top02 = 1.8788_wp + 0.9296_wp * perct_ij
2780	!
2781	!-- IREQ neutral conditions (thermal comfort)
2782	ireq_neutral = 1.62_wp - 0.0564_wp * top02
2783	!
2784	!-- Regression only defined for perct <= 10 (degC)
2785	IF ( ireq_neutral < 0.5_wp ) THEN
2786	IF ( ireq_neutral < 0.48_wp ) THEN
2787	nerr = 1_iwp
2788	ENDIF
2789	ireq_neutral = 0.5_wp
2790	ENDIF
2791	!
2792	!-- Minimal required clothing insulation: maximal acceptable body cooling
2793	ireq_minimal = 1.26_wp - 0.0588_wp * top02
2794	IF ( nerr > 0_iwp ) THEN
2795	ireq_minimal = ireq_neutral
2796	ENDIF
2797
2798	RETURN
2799	END FUNCTION ireq_neutral
2800
2801
2802	!------------------------------------------------------------------------------!
2803	! Description:
2804	! ------------
2805	!> The SUBROUTINE surface area calculates the surface area of the individual
2806	!> according to its height (m), weight (kg), and age (y)
2807	!------------------------------------------------------------------------------!
2808	SUBROUTINE surface_area ( height_cm, weight, age, surf )
2809
2810	IMPLICIT NONE
2811
2812	REAL(wp) , INTENT(in) :: weight
2813	REAL(wp) , INTENT(in) :: height_cm
2814	INTEGER(iwp), INTENT(in) :: age
2815	REAL(wp) , INTENT(out) :: surf
2816	REAL(wp) :: height
2817
2818	height = height_cm * 100._wp
2819	!
2820	!-- According to Gehan-George, for children
2821	IF ( age < 19_iwp ) THEN
2822	IF ( age < 5_iwp ) THEN
2823	surf = 0.02667_wp * height*0.42246_wp weight**0.51456_wp
2824	RETURN
2825	END IF
2826	surf = 0.03050_wp * height*0.35129_wp weight**0.54375_wp
2827	RETURN
2828	END IF
2829	!
2830	!-- DuBois D, DuBois EF: A formula to estimate the approximate surface area if
2831	! height and weight be known. In: Arch. Int. Med.. 17, 1916, S. 863?871.
2832	surf = 0.007184_wp * height*0.725_wp weight**0.425_wp
2833	RETURN
2834
2835	END SUBROUTINE surface_area
2836
2837	!------------------------------------------------------------------------------!
2838	! Description:
2839	! ------------
2840	!> The SUBROUTINE persdat calculates
2841	!> - the total internal energy production = metabolic + workload,
2842	!> - the total internal energy production for a standardized surface (actlev)
2843	!> - the DuBois - area (a_surf [m2])
2844	!> from
2845	!> - the persons age (years),
2846	!> - weight (kg),
2847	!> - height (m),
2848	!> - sex (1 = male, 2 = female),
2849	!> - work load (W)
2850	!> for a sample human.
2851	!------------------------------------------------------------------------------!
2852	SUBROUTINE persdat ( age, weight, height, sex, work, a_surf, actlev )
2853	!
2854	IMPLICIT NONE
2855
2856	REAL(wp), INTENT(in) :: age
2857	REAL(wp), INTENT(in) :: weight
2858	REAL(wp), INTENT(in) :: height
2859	REAL(wp), INTENT(in) :: work
2860	INTEGER(iwp), INTENT(in) :: sex
2861	REAL(wp), INTENT(out) :: actlev
2862	REAL(wp) :: a_surf
2863	REAL(wp) :: energy_prod
2864	REAL(wp) :: s
2865	REAL(wp) :: factor
2866	REAL(wp) :: basic_heat_prod
2867
2868	CALL surface_area ( height, weight, INT( age ), a_surf )
2869	s = height * 100._wp / ( weight ** ( 1._wp / 3._wp ) )
2870	factor = 1._wp + .004_wp * ( 30._wp - age )
2871	basic_heat_prod = 0.
2872	IF ( sex == 1_iwp ) THEN
2873	basic_heat_prod = 3.45_wp * weight ** ( 3._wp / 4._wp ) * ( factor + &
2874	.01_wp * ( s - 43.4_wp ) )
2875	ELSE IF ( sex == 2_iwp ) THEN
2876	basic_heat_prod = 3.19_wp * weight ** ( 3._wp / 4._wp ) * ( factor + &
2877	.018_wp * ( s - 42.1_wp ) )
2878	END IF
2879
2880	energy_prod = work + basic_heat_prod
2881	actlev = energy_prod / a_surf
2882
2883	END SUBROUTINE persdat
2884
2885
2886	!------------------------------------------------------------------------------!
2887	! Description:
2888	! ------------
2889	!> SUBROUTINE ipt_init
2890	!> initializes the instationary perceived temperature
2891	!------------------------------------------------------------------------------!
2892
2893	SUBROUTINE ipt_init (age, weight, height, sex, work, actlev, clo, &
2894	ta, vp, ws, tmrt, pair, dt, storage, t_clothing, &
2895	ipt )
2896
2897	IMPLICIT NONE
2898	!
2899	!-- Input parameters
2900	REAL(wp), INTENT(in) :: age !< Persons age (years)
2901	REAL(wp), INTENT(in) :: weight !< Persons weight (kg)
2902	REAL(wp), INTENT(in) :: height !< Persons height (m)
2903	REAL(wp), INTENT(in) :: work !< Current workload (W)
2904	REAL(wp), INTENT(in) :: ta !< Air Temperature (degree_C)
2905	REAL(wp), INTENT(in) :: vp !< Vapor pressure (hPa)
2906	REAL(wp), INTENT(in) :: ws !< Wind speed in approx. 1.1m (m/s)
2907	REAL(wp), INTENT(in) :: tmrt !< Mean radiant temperature (degree_C)
2908	REAL(wp), INTENT(in) :: pair !< Air pressure (hPa)
2909	REAL(wp), INTENT(in) :: dt !< Timestep (s)
2910	INTEGER(iwp), INTENT(in) :: sex !< Persons sex (1 = male, 2 = female)
2911	!
2912	!-- Output parameters
2913	REAL(wp), INTENT(out) :: actlev
2914	REAL(wp), INTENT(out) :: clo
2915	REAL(wp), INTENT(out) :: storage
2916	REAL(wp), INTENT(out) :: t_clothing
2917	REAL(wp), INTENT(out) :: ipt
2918	!
2919	!-- Internal variables
2920	REAL(wp), PARAMETER :: eps = 0.0005_wp
2921	REAL(wp), PARAMETER :: eta = 0._wp
2922	REAL(wp) :: sclo
2923	REAL(wp) :: wclo
2924	REAL(wp) :: d_pmv
2925	REAL(wp) :: svp_ta
2926	REAL(wp) :: sult_lim
2927	REAL(wp) :: dgtcm
2928	REAL(wp) :: dgtcstd
2929	REAL(wp) :: clon
2930	REAL(wp) :: ireq_minimal
2931	! REAL(wp) :: clo_fanger
2932	REAL(wp) :: pmv_w
2933	REAL(wp) :: pmv_s
2934	REAL(wp) :: pmva
2935	REAL(wp) :: ptc
2936	REAL(wp) :: d_std
2937	REAL(wp) :: pmvs
2938	REAL(wp) :: top
2939	REAL(wp) :: a_surf
2940	! REAL(wp) :: acti
2941	INTEGER(iwp) :: ncount
2942	INTEGER(iwp) :: nerr_cold
2943	INTEGER(iwp) :: nerr
2944
2945	LOGICAL :: sultrieness
2946
2947	storage = 0._wp
2948	CALL persdat ( age, weight, height, sex, work, a_surf, actlev )
2949	!
2950	!-- Initialise
2951	t_clothing = bio_fill_value
2952	ipt = bio_fill_value
2953	nerr = 0_wp
2954	ncount = 0_wp
2955	sultrieness = .FALSE.
2956	!
2957	!-- Tresholds: clothing insulation (account for model inaccuracies)
2958	!-- Summer clothing
2959	sclo = 0.44453_wp
2960	!-- Winter clothing
2961	wclo = 1.76267_wp
2962	!
2963	!-- Decision: firstly calculate for winter or summer clothing
2964	IF ( ta <= 10._wp ) THEN
2965	!
2966	!-- First guess: winter clothing insulation: cold stress
2967	clo = wclo
2968	t_clothing = bio_fill_value ! force initial run
2969	CALL fanger_s_acti ( ta, tmrt, vp, ws, pair, clo, actlev, work, &
2970	t_clothing, storage, dt, pmva )
2971	pmv_w = pmva
2972
2973	IF ( pmva > 0._wp ) THEN
2974	!
2975	!-- Case summer clothing insulation: heat load ?
2976	clo = sclo
2977	t_clothing = bio_fill_value ! force initial run
2978	CALL fanger_s_acti ( ta, tmrt, vp, ws, pair, clo, actlev, work, &
2979	t_clothing, storage, dt, pmva )
2980	pmv_s = pmva
2981	IF ( pmva <= 0._wp ) THEN
2982	!
2983	!-- Case: comfort achievable by varying clothing insulation
2984	! between winter and summer set values
2985	CALL iso_ridder ( ta, tmrt, vp, ws, pair, actlev, eta , sclo, &
2986	pmv_s, wclo, pmv_w, eps, pmva, top, ncount, clo )
2987	IF ( ncount < 0_iwp ) THEN
2988	nerr = -1_iwp
2989	RETURN
2990	ENDIF
2991	ELSE IF ( pmva > 0.06_wp ) THEN
2992	clo = 0.5_wp
2993	t_clothing = bio_fill_value
2994	CALL fanger_s_acti ( ta, tmrt, vp, ws, pair, clo, actlev, work, &
2995	t_clothing, storage, dt, pmva )
2996	ENDIF
2997	ELSE IF ( pmva < -0.11_wp ) THEN
2998	clo = 1.75_wp
2999	t_clothing = bio_fill_value
3000	CALL fanger_s_acti ( ta, tmrt, vp, ws, pair, clo, actlev, work, &
3001	t_clothing, storage, dt, pmva )
3002	ENDIF
3003
3004	ELSE
3005	!
3006	!-- First guess: summer clothing insulation: heat load
3007	clo = sclo
3008	t_clothing = bio_fill_value
3009	CALL fanger_s_acti ( ta, tmrt, vp, ws, pair, clo, actlev, work, &
3010	t_clothing, storage, dt, pmva )
3011	pmv_s = pmva
3012
3013	IF ( pmva < 0._wp ) THEN
3014	!
3015	!-- Case winter clothing insulation: cold stress ?
3016	clo = wclo
3017	t_clothing = bio_fill_value
3018	CALL fanger_s_acti ( ta, tmrt, vp, ws, pair, clo, actlev, work, &
3019	t_clothing, storage, dt, pmva )
3020	pmv_w = pmva
3021
3022	IF ( pmva >= 0._wp ) THEN
3023	!
3024	!-- Case: comfort achievable by varying clothing insulation
3025	! between winter and summer set values
3026	CALL iso_ridder ( ta, tmrt, vp, ws, pair, actlev, eta, sclo, &
3027	pmv_s, wclo, pmv_w, eps, pmva, top, ncount, clo )
3028	IF ( ncount < 0_wp ) THEN
3029	nerr = -1_iwp
3030	RETURN
3031	ENDIF
3032	ELSE IF ( pmva < -0.11_wp ) THEN
3033	clo = 1.75_wp
3034	t_clothing = bio_fill_value
3035	CALL fanger_s_acti ( ta, tmrt, vp, ws, pair, clo, actlev, work, &
3036	t_clothing, storage, dt, pmva )
3037	ENDIF
3038	ELSE IF ( pmva > 0.06_wp ) THEN
3039	clo = 0.5_wp
3040	t_clothing = bio_fill_value
3041	CALL fanger_s_acti ( ta, tmrt, vp, ws, pair, clo, actlev, work, &
3042	t_clothing, storage, dt, pmva )
3043	ENDIF
3044
3045	ENDIF
3046	!
3047	!-- Determine perceived temperature by regression equation + adjustments
3048	pmvs = pmva
3049	CALL perct_regression ( pmva, clo, ipt )
3050	ptc = ipt
3051	IF ( clo >= 1.75_wp .AND. pmva <= -0.11_wp ) THEN
3052	!
3053	!-- Adjust for cold conditions according to Gagge 1986
3054	CALL dpmv_cold ( pmva, ta, ws, tmrt, nerr_cold, d_pmv )
3055	IF ( nerr_cold > 0_iwp ) nerr = -5_iwp
3056	pmvs = pmva - d_pmv
3057	IF ( pmvs > -0.11_wp ) THEN
3058	d_pmv = 0._wp
3059	pmvs = -0.11_wp
3060	ENDIF
3061	CALL perct_regression ( pmvs, clo, ipt )
3062	ENDIF
3063	! clo_fanger = clo
3064	clon = clo
3065	IF ( clo > 0.5_wp .AND. ipt <= 8.73_wp ) THEN
3066	!
3067	!-- Required clothing insulation (ireq) is exclusively defined for
3068	! operative temperatures (top) less 10 (C) for a
3069	! reference wind of 0.2 m/s according to 8.73 (C) for 0.1 m/s
3070	clon = ireq_neutral ( ipt, ireq_minimal, nerr )
3071	clo = clon
3072	ENDIF
3073	CALL calc_sultr ( ptc, dgtcm, dgtcstd, sult_lim )
3074	sultrieness = .FALSE.
3075	d_std = -99._wp
3076	IF ( pmva > 0.06_wp .AND. clo <= 0.5_wp ) THEN
3077	!
3078	!-- Adjust for warm/humid conditions according to Gagge 1986
3079	CALL saturation_vapor_pressure ( ta, svp_ta )
3080	d_pmv = deltapmv ( pmva, ta, vp, svp_ta, tmrt, ws, nerr )
3081	pmvs = pmva + d_pmv
3082	CALL perct_regression ( pmvs, clo, ipt )
3083	IF ( sult_lim < 99._wp ) THEN
3084	IF ( (ipt - ptc) > sult_lim ) sultrieness = .TRUE.
3085	ENDIF
3086	ENDIF
3087
3088
3089	END SUBROUTINE ipt_init
3090
3091	!------------------------------------------------------------------------------!
3092	! Description:
3093	! ------------
3094	!> SUBROUTINE ipt_cycle
3095	!> Calculates one timestep for the instationary version of perceived
3096	!> temperature (iPT, degree_C) for
3097	!> - standard measured/predicted meteorological values and TMRT
3098	!> as input;
3099	!> - regressions for determination of PT;
3100	!> - adjustment to Gagge's PMV* (2-node-model, 1986) as base of PT
3101	!> under warm/humid conditions (Icl= 0.50 clo) and under cold
3102	!> conditions (Icl= 1.75 clo)
3103	!>
3104	!------------------------------------------------------------------------------!
3105	SUBROUTINE ipt_cycle( ta, vp, ws, tmrt, pair, dt, storage, t_clothing, clo, &
3106	actlev, work, ipt )
3107
3108	IMPLICIT NONE
3109	!
3110	!-- Type of input of the argument list
3111	REAL(wp), INTENT ( IN ) :: ta !< Air temperature (degree_C)
3112	REAL(wp), INTENT ( IN ) :: vp !< Vapor pressure (hPa)
3113	REAL(wp), INTENT ( IN ) :: tmrt !< Mean radiant temperature (degree_C)
3114	REAL(wp), INTENT ( IN ) :: ws !< Wind speed (m/s)
3115	REAL(wp), INTENT ( IN ) :: pair !< Air pressure (hPa)
3116	REAL(wp), INTENT ( IN ) :: dt !< Timestep (s)
3117	REAL(wp), INTENT ( IN ) :: clo !< Clothing index (no dim)
3118	REAL(wp), INTENT ( IN ) :: actlev !< Internal heat production (W)
3119	REAL(wp), INTENT ( IN ) :: work !< Mechanical work load (W)
3120	!
3121	!-- In and output parameters
3122	REAL(wp), INTENT (INOUT) :: storage !< Heat storage (W)
3123	REAL(wp), INTENT (INOUT) :: t_clothing !< Clothig temperature (degree_C)
3124	!
3125	!-- Type of output of the argument list
3126	REAL(wp), INTENT ( OUT ) :: ipt !< Instationary perceived temperature (degree_C)
3127	!
3128	!-- Type of internal variables
3129	REAL(wp) :: d_pmv
3130	REAL(wp) :: svp_ta
3131	REAL(wp) :: sult_lim
3132	REAL(wp) :: dgtcm
3133	REAL(wp) :: dgtcstd
3134	REAL(wp) :: pmva
3135	REAL(wp) :: ptc
3136	REAL(wp) :: d_std
3137	REAL(wp) :: pmvs
3138	INTEGER(iwp) :: nerr_cold
3139	INTEGER(iwp) :: nerr
3140
3141	LOGICAL :: sultrieness
3142	!
3143	!-- Initialise
3144	ipt = bio_fill_value
3145
3146	nerr = 0_iwp
3147	sultrieness = .FALSE.
3148	!
3149	!-- Determine pmv_adjusted for current conditions
3150	CALL fanger_s_acti ( ta, tmrt, vp, ws, pair, clo, actlev, work, &
3151	t_clothing, storage, dt, pmva )
3152	!
3153	!-- Determine perceived temperature by regression equation + adjustments
3154	CALL perct_regression ( pmva, clo, ipt )
3155
3156	IF ( clo >= 1.75_wp .AND. pmva <= -0.11_wp ) THEN
3157	!
3158	!-- Adjust for cold conditions according to Gagge 1986
3159	CALL dpmv_cold ( pmva, ta, ws, tmrt, nerr_cold, d_pmv )
3160	IF ( nerr_cold > 0_iwp ) nerr = -5_iwp
3161	pmvs = pmva - d_pmv
3162	IF ( pmvs > -0.11_wp ) THEN
3163	d_pmv = 0._wp
3164	pmvs = -0.11_wp
3165	ENDIF
3166	CALL perct_regression ( pmvs, clo, ipt )
3167	ENDIF
3168	!
3169	!-- Consider sultriness if appropriate
3170	ptc = ipt
3171	CALL calc_sultr ( ptc, dgtcm, dgtcstd, sult_lim )
3172	sultrieness = .FALSE.
3173	d_std = -99._wp
3174	IF ( pmva > 0.06_wp .AND. clo <= 0.5_wp ) THEN
3175	!
3176	!-- Adjust for warm/humid conditions according to Gagge 1986
3177	CALL saturation_vapor_pressure ( ta, svp_ta )
3178	d_pmv = deltapmv ( pmva, ta, vp, svp_ta, tmrt, ws, nerr )
3179	pmvs = pmva + d_pmv
3180	CALL perct_regression ( pmvs, clo, ipt )
3181	IF ( sult_lim < 99._wp ) THEN
3182	IF ( (ipt - ptc) > sult_lim ) sultrieness = .TRUE.
3183	ENDIF
3184	ENDIF
3185
3186	END SUBROUTINE ipt_cycle
3187
3188	!------------------------------------------------------------------------------!
3189	! Description:
3190	! ------------
3191	!> SUBROUTINE fanger_s calculates the
3192	!> actual Predicted Mean Vote (dimensionless) according
3193	!> to Fanger corresponding to meteorological (ta,tmrt,pa,ws,pair)
3194	!> and individual variables (clo, actlev, eta) considering a storage
3195	!> and clothing temperature for a given timestep.
3196	!------------------------------------------------------------------------------!
3197	SUBROUTINE fanger_s_acti( ta, tmrt, pa, in_ws, pair, in_clo, actlev, &
3198	activity, t_cloth, s, dt, pmva )
3199
3200	IMPLICIT NONE
3201	!
3202	!-- Input argument types
3203	REAL(wp), INTENT ( IN ) :: ta !< Air temperature (degree_C)
3204	REAL(wp), INTENT ( IN ) :: tmrt !< Mean radiant temperature (degree_C)
3205	REAL(wp), INTENT ( IN ) :: pa !< Vapour pressure (hPa)
3206	REAL(wp), INTENT ( IN ) :: pair !< Air pressure (hPa)
3207	REAL(wp), INTENT ( IN ) :: in_ws !< Wind speed (m/s)
3208	REAL(wp), INTENT ( IN ) :: actlev !< Metabolic + work energy (W/mÂ²)
3209	REAL(wp), INTENT ( IN ) :: dt !< Timestep (s)
3210	REAL(wp), INTENT ( IN ) :: activity !< Work load (W/mÂ²)
3211	REAL(wp), INTENT ( IN ) :: in_clo !< Clothing index (clo) (no dim)
3212	!
3213	!-- Output argument types
3214	REAL(wp), INTENT ( OUT ) :: pmva !< actual Predicted Mean Vote (no dim)
3215
3216	REAL(wp), INTENT (INOUT) :: s !< storage var. of energy balance (W/m2)
3217	REAL(wp), INTENT (INOUT) :: t_cloth !< clothing temperature (degree_C)
3218	!
3219	!-- Internal variables
3220	REAL(wp), PARAMETER :: time_equil = 7200._wp
3221
3222	REAL(wp) :: f_cl !< Increase in surface due to clothing (factor)
3223	REAL(wp) :: heat_convection !< energy loss by autocnvection (W)
3224	REAL(wp) :: t_skin_aver !< average skin temperature (degree_C)
3225	REAL(wp) :: bc !< preliminary result storage
3226	REAL(wp) :: cc !< preliminary result storage
3227	REAL(wp) :: dc !< preliminary result storage
3228	REAL(wp) :: ec !< preliminary result storage
3229	REAL(wp) :: gc !< preliminary result storage
3230	REAL(wp) :: t_clothing !< clothing temperature (degree_C)
3231	! REAL(wp) :: hr !< radiational heat resistence
3232	REAL(wp) :: clo !< clothing insulation index (clo)
3233	REAL(wp) :: ws !< wind speed (m/s)
3234	REAL(wp) :: z1 !< Empiric factor for the adaption of the heat
3235	! ballance equation to the psycho-physical scale (Equ. 40 in FANGER)
3236	REAL(wp) :: z2 !< Water vapour diffution through the skin
3237	REAL(wp) :: z3 !< Sweat evaporation from the skin surface
3238	REAL(wp) :: z4 !< Loss of latent heat through respiration
3239	REAL(wp) :: z5 !< Loss of radiational heat
3240	REAL(wp) :: z6 !< Heat loss through forced convection
3241	REAL(wp) :: en !< Energy ballance (W)
3242	REAL(wp) :: d_s !< Storage delta (W)
3243	REAL(wp) :: adjustrate !< Max storage adjustment rate
3244	REAL(wp) :: adjustrate_cloth !< max clothing temp. adjustment rate
3245
3246	INTEGER(iwp) :: i !< running index
3247	INTEGER(iwp) :: niter !< Running index
3248
3249	!
3250	!-- Clo must be > 0. to avoid div. by 0!
3251	clo = in_clo
3252	IF ( clo < 001._wp ) clo = .001_wp
3253	!
3254	!-- Increase in surface due to clothing
3255	f_cl = 1._wp + .15_wp * clo
3256	!
3257	!-- Case of free convection (ws < 0.1 m/s ) not considered
3258	ws = in_ws
3259	IF ( ws < .1_wp ) THEN
3260	ws = .1_wp
3261	ENDIF
3262	!
3263	!-- Heat_convection = forced convection
3264	heat_convection = 12.1_wp * SQRT ( ws * pair / 1013.25_wp )
3265	!
3266	!-- Average skin temperature
3267	t_skin_aver = 35.7_wp - .0275_wp * activity
3268	!
3269	!-- Calculation of constants for evaluation below
3270	bc = .155_wp * clo * 3.96_wp * 10._wp*( -8._wp ) f_cl
3271	cc = f_cl * heat_convection
3272	ec = .155_wp * clo
3273	dc = ( 1._wp + ec * cc ) / bc
3274	gc = ( t_skin_aver + bc * ( tmrt + 273.2_wp )*4._wp + ec cc * ta ) / bc
3275	!
3276	!-- Calculation of clothing surface temperature (t_clothing) based on
3277	! newton-approximation with air temperature as initial guess
3278	niter = INT( dt * 10._wp, KIND=iwp )
3279	IF ( niter < 1 ) niter = 1_iwp
3280	adjustrate = 1._wp - EXP ( -1._wp * ( 10._wp / time_equil ) * dt )
3281	IF ( adjustrate >= 1._wp ) adjustrate = 1._wp
3282	adjustrate_cloth = adjustrate * 30._wp
3283	t_clothing = t_cloth
3284
3285	IF ( t_cloth <= -998.0_wp ) THEN ! If initial run
3286	niter = 3_iwp
3287	adjustrate = 1._wp
3288	adjustrate_cloth = 1._wp
3289	t_clothing = ta
3290	ENDIF
3291
3292	DO i = 1, niter
3293	t_clothing = t_clothing - adjustrate_cloth * ( ( t_clothing + &
3294	273.2_wp )*4._wp + t_clothing &
3295	dc - gc ) / ( 4._wp * ( t_clothing + 273.2_wp )**3._wp + dc )
3296	ENDDO
3297	!
3298	!-- Empiric factor for the adaption of the heat ballance equation
3299	! to the psycho-physical scale (Equ. 40 in FANGER)
3300	z1 = ( .303_wp * EXP ( -.036_wp * actlev ) + .0275_wp )
3301	!
3302	!-- Water vapour diffution through the skin
3303	z2 = .31_wp * ( 57.3_wp - .07_wp * activity-pa )
3304	!
3305	!-- Sweat evaporation from the skin surface
3306	z3 = .42_wp * ( activity - 58._wp )
3307	!
3308	!-- Loss of latent heat through respiration
3309	z4 = .0017_wp * actlev * ( 58.7_wp - pa ) + .0014_wp * actlev * &
3310	( 34._wp - ta )
3311	!
3312	!-- Loss of radiational heat
3313	z5 = 3.96e-8_wp * f_cl * ( ( t_clothing + 273.2_wp )**4 - ( tmrt + &
3314	273.2_wp )**4 )
3315	!
3316	!-- Heat loss through forced convection
3317	z6 = cc * ( t_clothing - ta )
3318	!
3319	!-- Write together as energy ballance
3320	en = activity - z2 - z3 - z4 - z5 - z6
3321	!
3322	!-- Manage storage
3323	d_s = adjustrate * en + ( 1._wp - adjustrate ) * s
3324	!
3325	!-- Predicted Mean Vote
3326	pmva = z1 * d_s
3327	!
3328	!-- Update storage
3329	s = d_s
3330	t_cloth = t_clothing
3331
3332	END SUBROUTINE fanger_s_acti
3333
3334
3335
3336	!------------------------------------------------------------------------------!
3337	!
3338	! Description:
3339	! ------------
3340	!> Physiologically Equivalent Temperature (PET),
3341	!> stationary (calculated based on MEMI),
3342	!> Subroutine based on PETBER vers. 1.5.1996 by P. Hoeppe
3343	!------------------------------------------------------------------------------!
3344
3345	SUBROUTINE calculate_pet_static( ta, vpa, v, tmrt, pair, pet_ij )
3346
3347	IMPLICIT NONE
3348	!
3349	!-- Input arguments:
3350	REAL(wp), INTENT( IN ) :: ta !< Air temperature (degree_C)
3351	REAL(wp), INTENT( IN ) :: tmrt !< Mean radiant temperature (degree_C)
3352	REAL(wp), INTENT( IN ) :: v !< Wind speed (m/s)
3353	REAL(wp), INTENT( IN ) :: vpa !< Vapor pressure (hPa)
3354	REAL(wp), INTENT( IN ) :: pair !< Air pressure (hPa)
3355	!
3356	!-- Output arguments:
3357	REAL(wp), INTENT ( OUT ) :: pet_ij !< PET (degree_C)
3358	!
3359	!-- Internal variables:
3360	REAL(wp) :: acl !< clothing area (mÂ²)
3361	REAL(wp) :: adu !< Du Bois area (mÂ²)
3362	REAL(wp) :: aeff !< effective area (mÂ²)
3363	REAL(wp) :: ere !< energy ballance (W)
3364	REAL(wp) :: erel !< latent energy ballance (W)
3365	REAL(wp) :: esw !< Energy-loss through sweat evap. (W)
3366	REAL(wp) :: facl !< Surface area extension through clothing (factor)
3367	REAL(wp) :: feff !< Surface modification by posture (factor)
3368	REAL(wp) :: rdcl !< Diffusion resistence of clothing (factor)
3369	REAL(wp) :: rdsk !< Diffusion resistence of skin (factor)
3370	REAL(wp) :: rtv
3371	REAL(wp) :: vpts !< Sat. vapor pressure over skin (hPa)
3372	REAL(wp) :: tsk !< Skin temperature (degree_C)
3373	REAL(wp) :: tcl !< Clothing temperature (degree_C)
3374	REAL(wp) :: wetsk !< Fraction of wet skin (factor)
3375	!
3376	!-- Variables:
3377	REAL(wp) :: int_heat !< Internal heat (W)
3378	!
3379	!-- MEMI configuration
3380	REAL(wp) :: age !< Persons age (a)
3381	REAL(wp) :: mbody !< Persons body mass (kg)
3382	REAL(wp) :: ht !< Persons height (m)
3383	REAL(wp) :: work !< Work load (W)
3384	REAL(wp) :: eta !< Work efficiency (dimensionless)
3385	REAL(wp) :: clo !< Clothing insulation index (clo)
3386	REAL(wp) :: fcl !< Surface area modification by clothing (factor)
3387	! INTEGER(iwp) :: pos !< Posture: 1 = standing, 2 = sitting
3388	! INTEGER(iwp) :: sex !< Sex: 1 = male, 2 = female
3389	!
3390	!-- Configuration, keep standard parameters!
3391	age = 35._wp
3392	mbody = 75._wp
3393	ht = 1.75_wp
3394	work = 80._wp
3395	eta = 0._wp
3396	clo = 0.9_wp
3397	fcl = 1.15_wp
3398	!
3399	!-- Call subfunctions
3400	CALL in_body ( age, eta, ere, erel, ht, int_heat, mbody, pair, rtv, ta, &
3401	vpa, work )
3402
3403	CALL heat_exch ( acl, adu, aeff, clo, ere, erel, esw, facl, fcl, feff, ht, &
3404	int_heat,mbody, pair, rdcl, rdsk, ta, tcl, tmrt, tsk, v, vpa, &
3405	vpts, wetsk )
3406
3407	CALL pet_iteration ( acl, adu, aeff, esw, facl, feff, int_heat, pair, &
3408	rdcl, rdsk, rtv, ta, tcl, tsk, pet_ij, vpts, wetsk )
3409
3410
3411	END SUBROUTINE calculate_pet_static
3412
3413
3414	!------------------------------------------------------------------------------!
3415	! Description:
3416	! ------------
3417	!> Calculate internal energy ballance
3418	!------------------------------------------------------------------------------!
3419	SUBROUTINE in_body ( age, eta, ere, erel, ht, int_heat, mbody, pair, rtv, ta, &
3420	vpa, work )
3421	!
3422	!-- Input arguments:
3423	REAL(wp), INTENT( IN ) :: pair !< air pressure (hPa)
3424	REAL(wp), INTENT( IN ) :: ta !< air temperature (degree_C)
3425	REAL(wp), INTENT( IN ) :: vpa !< vapor pressure (hPa)
3426	REAL(wp), INTENT( IN ) :: age !< Persons age (a)
3427	REAL(wp), INTENT( IN ) :: mbody !< Persons body mass (kg)
3428	REAL(wp), INTENT( IN ) :: ht !< Persons height (m)
3429	REAL(wp), INTENT( IN ) :: work !< Work load (W)
3430	REAL(wp), INTENT( IN ) :: eta !< Work efficiency (dimensionless)
3431	!
3432	!-- Output arguments:
3433	REAL(wp), INTENT( OUT ) :: ere !< energy ballance (W)
3434	REAL(wp), INTENT( OUT ) :: erel !< latent energy ballance (W)
3435	REAL(wp), INTENT( OUT ) :: int_heat !< internal heat production (W)
3436	REAL(wp), INTENT( OUT ) :: rtv !< respiratory volume
3437	!
3438	!-- Constants:
3439	! REAL(wp), PARAMETER :: cair = 1010._wp !< replaced by c_p
3440	! REAL(wp), PARAMETER :: evap = 2.42_wp * 10._wp **6._wp !< replaced by l_v
3441	!
3442	!-- Internal variables:
3443	REAL(wp) :: eres !< Sensible respiratory heat flux (W)
3444	REAL(wp) :: met
3445	REAL(wp) :: tex
3446	REAL(wp) :: vpex
3447
3448	met = 3.45_wp * mbody ** ( 3._wp / 4._wp ) * (1._wp + 0.004_wp * &
3449	( 30._wp - age) + 0.010_wp * ( ( ht * 100._wp / &
3450	( mbody ** ( 1._wp / 3._wp ) ) ) - 43.4_wp ) )
3451
3452	met = work + met
3453
3454	int_heat = met * (1._wp - eta)
3455	!
3456	!-- Sensible respiration energy
3457	tex = 0.47_wp * ta + 21.0_wp
3458	rtv = 1.44_wp * 10._wp ** (-6._wp) * met
3459	eres = c_p * (ta - tex) * rtv
3460	!
3461	!-- Latent respiration energy
3462	vpex = 6.11_wp * 10._wp ** ( 7.45_wp * tex / ( 235._wp + tex ) )
3463	erel = 0.623_wp * l_v / pair * ( vpa - vpex ) * rtv
3464	!
3465	!-- Sum of the results
3466	ere = eres + erel
3467
3468	END SUBROUTINE in_body
3469
3470
3471	!------------------------------------------------------------------------------!
3472	! Description:
3473	! ------------
3474	!> Calculate heat gain or loss
3475	!------------------------------------------------------------------------------!
3476	SUBROUTINE heat_exch ( acl, adu, aeff, clo, ere, erel, esw, facl, fcl, feff, &
3477	ht, int_heat, mbody, pair, rdcl, rdsk, ta, tcl, tmrt, tsk, v, vpa, &
3478	vpts, wetsk )
3479
3480	!
3481	!-- Input arguments:
3482	REAL(wp), INTENT( IN ) :: ere !< Energy ballance (W)
3483	REAL(wp), INTENT( IN ) :: erel !< Latent energy ballance (W)
3484	REAL(wp), INTENT( IN ) :: int_heat !< internal heat production (W)
3485	REAL(wp), INTENT( IN ) :: pair !< Air pressure (hPa)
3486	REAL(wp), INTENT( IN ) :: ta !< Air temperature (degree_C)
3487	REAL(wp), INTENT( IN ) :: tmrt !< Mean radiant temperature (degree_C)
3488	REAL(wp), INTENT( IN ) :: v !< Wind speed (m/s)
3489	REAL(wp), INTENT( IN ) :: vpa !< Vapor pressure (hPa)
3490	REAL(wp), INTENT( IN ) :: mbody !< body mass (kg)
3491	REAL(wp), INTENT( IN ) :: ht !< height (m)
3492	REAL(wp), INTENT( IN ) :: clo !< clothing insulation (clo)
3493	REAL(wp), INTENT( IN ) :: fcl !< factor for surface area increase by clothing
3494	!
3495	!-- Output arguments:
3496	REAL(wp), INTENT( OUT ) :: acl !< Clothing surface area (mÂ²)
3497	REAL(wp), INTENT( OUT ) :: adu !< Du-Bois area (mÂ²)
3498	REAL(wp), INTENT( OUT ) :: aeff !< Effective surface area (mÂ²)
3499	REAL(wp), INTENT( OUT ) :: esw !< Energy-loss through sweat evap. (W)
3500	REAL(wp), INTENT( OUT ) :: facl !< Surface area extension through clothing (factor)
3501	REAL(wp), INTENT( OUT ) :: feff !< Surface modification by posture (factor)
3502	REAL(wp), INTENT( OUT ) :: rdcl !< Diffusion resistence of clothing (factor)
3503	REAL(wp), INTENT( OUT ) :: rdsk !< Diffusion resistence of skin (factor)
3504	REAL(wp), INTENT( OUT ) :: tcl !< Clothing temperature (degree_C)
3505	REAL(wp), INTENT( OUT ) :: tsk !< Skin temperature (degree_C)
3506	REAL(wp), INTENT( OUT ) :: vpts !< Sat. vapor pressure over skin (hPa)
3507	REAL(wp), INTENT( OUT ) :: wetsk !< Fraction of wet skin (dimensionless)
3508	!
3509	!-- Cconstants:
3510	! REAL(wp), PARAMETER :: cair = 1010._wp !< replaced by c_p
3511	REAL(wp), PARAMETER :: cb = 3640._wp !<
3512	REAL(wp), PARAMETER :: emcl = 0.95_wp !< Longwave emission coef. of cloth
3513	REAL(wp), PARAMETER :: emsk = 0.99_wp !< Longwave emission coef. of skin
3514	! REAL(wp), PARAMETER :: evap = 2.42_wp * 10._wp **6._wp !< replaced by l_v
3515	REAL(wp), PARAMETER :: food = 0._wp !< Heat gain by food (W)
3516	REAL(wp), PARAMETER :: po = 1013.25_wp !< Air pressure at sea level (hPa)
3517	REAL(wp), PARAMETER :: rob = 1.06_wp !<
3518	!
3519	!-- Internal variables
3520	REAL(wp) :: c(0:10) !< Core temperature array (degree_C)
3521	REAL(wp) :: cbare !< Convection through bare skin
3522	REAL(wp) :: cclo !< Convection through clothing
3523	REAL(wp) :: csum !< Convection in total
3524	REAL(wp) :: di !< difference between r1 and r2
3525	REAL(wp) :: ed !< energy transfer by diffusion (W)
3526	REAL(wp) :: enbal !< energy ballance (W)
3527	REAL(wp) :: enbal2 !< energy ballance (storage, last cycle)
3528	REAL(wp) :: eswdif !< difference between sweat production and evaporation potential
3529	REAL(wp) :: eswphy !< sweat created by physiology
3530	REAL(wp) :: eswpot !< potential sweat evaporation
3531	REAL(wp) :: fec !<
3532	REAL(wp) :: hc !<
3533	REAL(wp) :: he !<
3534	REAL(wp) :: htcl !<
3535	REAL(wp) :: r1 !<
3536	REAL(wp) :: r2 !<
3537	REAL(wp) :: rbare !< Radiational loss of bare skin (W/mÂ²)
3538	REAL(wp) :: rcl !<
3539	REAL(wp) :: rclo !< Radiational loss of clothing (W/mÂ²)
3540	REAL(wp) :: rclo2 !< Longwave radiation gain or loss (W/mÂ²)
3541	REAL(wp) :: rsum !< Radiational loss or gain (W/mÂ²)
3542	REAL(wp) :: sw !<
3543	! REAL(wp) :: swf !< female factor, currently unused
3544	REAL(wp) :: swm !<
3545	REAL(wp) :: tbody !<
3546	REAL(wp) :: tcore(1:7) !<
3547	REAL(wp) :: vb !<
3548	REAL(wp) :: vb1 !<
3549	REAL(wp) :: vb2 !<
3550	REAL(wp) :: wd !<
3551	REAL(wp) :: wr !<
3552	REAL(wp) :: ws !<
3553	REAL(wp) :: wsum !<
3554	REAL(wp) :: xx !< modification step (K)
3555	REAL(wp) :: y !< fraction of bare skin
3556	INTEGER(iwp) :: count1 !< running index
3557	INTEGER(iwp) :: count3 !< running index
3558	INTEGER(iwp) :: j !< running index
3559	INTEGER(iwp) :: i !< running index
3560	LOGICAL :: skipIncreaseCount !< iteration control flag
3561
3562	wetsk = 0._wp
3563	adu = 0.203_wp * mbody ** 0.425_wp * ht ** 0.725_wp
3564
3565	hc = 2.67_wp + ( 6.5_wp * v ** 0.67_wp)
3566	hc = hc * (pair /po) ** 0.55_wp
3567	feff = 0.725_wp !< Posture: 0.725 for stading
3568	facl = (- 2.36_wp + 173.51_wp * clo - 100.76_wp * clo * clo + 19.28_wp &
3569	* (clo ** 3._wp)) / 100._wp
3570
3571	IF ( facl > 1._wp ) facl = 1._wp
3572	rcl = ( clo / 6.45_wp ) / facl
3573	IF ( clo >= 2._wp ) y = 1._wp
3574
3575	IF ( ( clo > 0.6_wp ) .AND. ( clo < 2._wp ) ) y = ( ht - 0.2_wp ) / ht
3576	IF ( ( clo <= 0.6_wp ) .AND. ( clo > 0.3_wp ) ) y = 0.5_wp
3577	IF ( ( clo <= 0.3_wp ) .AND. ( clo > 0._wp ) ) y = 0.1_wp
3578
3579	r2 = adu * (fcl - 1._wp + facl) / (2._wp * 3.14_wp * ht * y)
3580	r1 = facl * adu / (2._wp * 3.14_wp * ht * y)
3581
3582	di = r2 - r1
3583	!
3584	!-- Skin temperatur
3585	DO j = 1, 7
3586
3587	tsk = 34._wp
3588	count1 = 0_iwp
3589	tcl = ( ta + tmrt + tsk ) / 3._wp
3590	count3 = 1_iwp
3591	enbal2 = 0._wp
3592
3593	DO i = 1, 100 ! allow for 100 iterations max
3594	acl = adu * facl + adu * ( fcl - 1._wp )
3595	rclo2 = emcl * sigma_sb * ( ( tcl + degc_to_k )**4._wp - &
3596	( tmrt + degc_to_k )** 4._wp ) * feff
3597	htcl = 6.28_wp * ht * y * di / ( rcl * LOG( r2 / r1 ) * acl )
3598	tsk = 1._wp / htcl * ( hc * ( tcl - ta ) + rclo2 ) + tcl
3599	!
3600	!-- Radiation saldo
3601	aeff = adu * feff
3602	rbare = aeff * ( 1._wp - facl ) * emsk * sigma_sb * &
3603	( ( tmrt + degc_to_k ) 4._wp - ( tsk + degc_to_k ) 4._wp )
3604	rclo = feff * acl * emcl * sigma_sb * &
3605	( ( tmrt + degc_to_k ) 4._wp - ( tcl + degc_to_k ) 4._wp )
3606	rsum = rbare + rclo
3607	!
3608	!-- Convection
3609	cbare = hc * ( ta - tsk ) * adu * ( 1._wp - facl )
3610	cclo = hc * ( ta - tcl ) * acl
3611	csum = cbare + cclo
3612	!
3613	!-- Core temperature
3614	c(0) = int_heat + ere
3615	c(1) = adu * rob * cb
3616	c(2) = 18._wp - 0.5_wp * tsk
3617	c(3) = 5.28_wp * adu * c(2)
3618	c(4) = 0.0208_wp * c(1)
3619	c(5) = 0.76075_wp * c(1)
3620	c(6) = c(3) - c(5) - tsk * c(4)
3621	c(7) = - c(0) * c(2) - tsk * c(3) + tsk * c(5)
3622	c(8) = c(6) * c(6) - 4._wp * c(4) * c(7)
3623	c(9) = 5.28_wp * adu - c(5) - c(4) * tsk
3624	c(10) = c(9) * c(9) - 4._wp * c(4) * &
3625	( c(5) * tsk - c(0) - 5.28_wp * adu * tsk )
3626
3627	IF ( tsk == 36._wp ) tsk = 36.01_wp
3628	tcore(7) = c(0) / ( 5.28_wp * adu + c(1) * 6.3_wp / 3600._wp ) + tsk
3629	tcore(3) = c(0) / ( 5.28_wp * adu + ( c(1) * 6.3_wp / 3600._wp ) / &
3630	( 1._wp + 0.5_wp * ( 34._wp - tsk ) ) ) + tsk
3631	IF ( c(10) >= 0._wp ) THEN
3632	tcore(6) = ( - c(9) - c(10)*0.5_wp ) / ( 2._wp c(4) )
3633	tcore(1) = ( - c(9) + c(10)*0.5_wp ) / ( 2._wp c(4) )
3634	END IF
3635
3636	IF ( c(8) >= 0._wp ) THEN
3637	tcore(2) = ( - c(6) + ABS( c(8) ) ** 0.5_wp ) / ( 2._wp * c(4) )
3638	tcore(5) = ( - c(6) - ABS( c(8) ) ** 0.5_wp ) / ( 2._wp * c(4) )
3639	tcore(4) = c(0) / ( 5.28_wp * adu + c(1) * 1._wp / 40._wp ) + tsk
3640	END IF
3641	!
3642	!-- Transpiration
3643	tbody = 0.1_wp * tsk + 0.9_wp * tcore(j)
3644	swm = 304.94_wp * ( tbody - 36.6_wp ) * adu / 3600000._wp
3645	vpts = 6.11_wp * 10._wp*( 7.45_wp tsk / ( 235._wp + tsk ) )
3646
3647	IF ( tbody <= 36.6_wp ) swm = 0._wp !< no need for sweating
3648
3649	sw = swm
3650	eswphy = - sw * l_v
3651	he = 0.633_wp * hc / ( pair * c_p )
3652	fec = 1._wp / ( 1._wp + 0.92_wp * hc * rcl )
3653	eswpot = he * ( vpa - vpts ) * adu * l_v * fec
3654	wetsk = eswphy / eswpot
3655
3656	IF ( wetsk > 1._wp ) wetsk = 1._wp
3657	!
3658	!-- Sweat production > evaporation?
3659	eswdif = eswphy - eswpot
3660
3661	IF ( eswdif <= 0._wp ) esw = eswpot !< Limit is evaporation
3662	IF ( eswdif > 0._wp ) esw = eswphy !< Limit is sweat production
3663	IF ( esw > 0._wp ) esw = 0._wp !< Sweat can't be evaporated, no more cooling effect
3664	!
3665	!-- Diffusion
3666	rdsk = 0.79_wp * 10._wp ** 7._wp
3667	rdcl = 0._wp
3668	ed = l_v / ( rdsk + rdcl ) * adu * ( 1._wp - wetsk ) * ( vpa - &
3669	vpts )
3670	!
3671	!-- Max vb
3672	vb1 = 34._wp - tsk
3673	vb2 = tcore(j) - 36.6_wp
3674
3675	IF ( vb2 < 0._wp ) vb2 = 0._wp
3676	IF ( vb1 < 0._wp ) vb1 = 0._wp
3677	vb = ( 6.3_wp + 75._wp * vb2 ) / ( 1._wp + 0.5_wp * vb1 )
3678	!
3679	!-- Energy ballence
3680	enbal = int_heat + ed + ere + esw + csum + rsum + food
3681	!
3682	!-- Clothing temperature
3683	xx = 0.001_wp
3684	IF ( count1 == 0_iwp ) xx = 1._wp
3685	IF ( count1 == 1_iwp ) xx = 0.1_wp
3686	IF ( count1 == 2_iwp ) xx = 0.01_wp
3687	IF ( count1 == 3_iwp ) xx = 0.001_wp
3688
3689	IF ( enbal > 0._wp ) tcl = tcl + xx
3690	IF ( enbal < 0._wp ) tcl = tcl - xx
3691
3692	skipIncreaseCount = .FALSE.
3693	IF ( ( (enbal <= 0._wp ) .AND. (enbal2 > 0._wp ) ) .OR. &
3694	( ( enbal >= 0._wp ) .AND. ( enbal2 < 0._wp ) ) ) THEN
3695	skipIncreaseCount = .TRUE.
3696	ELSE
3697	enbal2 = enbal
3698	count3 = count3 + 1_iwp
3699	END IF
3700
3701	IF ( ( count3 > 200_iwp ) .OR. skipIncreaseCount ) THEN
3702	IF ( count1 < 3_iwp ) THEN
3703	count1 = count1 + 1_iwp
3704	enbal2 = 0._wp
3705	ELSE
3706	EXIT
3707	END IF
3708	END IF
3709	END DO
3710
3711	IF ( count1 == 3_iwp ) THEN
3712	SELECT CASE ( j )
3713	CASE ( 2, 5)
3714	IF ( .NOT. ( ( tcore(j) >= 36.6_wp ) .AND. &
3715	( tsk <= 34.050_wp ) ) ) CYCLE
3716	CASE ( 6, 1 )
3717	IF ( c(10) < 0._wp ) CYCLE
3718	IF ( .NOT. ( ( tcore(j) >= 36.6_wp ) .AND. &
3719	( tsk > 33.850_wp ) ) ) CYCLE
3720	CASE ( 3 )
3721	IF ( .NOT. ( ( tcore(j) < 36.6_wp ) .AND. &
3722	( tsk <= 34.000_wp ) ) ) CYCLE
3723	CASE ( 7 )
3724	IF ( .NOT. ( ( tcore(j) < 36.6_wp ) .AND. &
3725	( tsk > 34.000_wp ) ) ) CYCLE
3726	CASE default
3727	END SELECT
3728	END IF
3729
3730	IF ( ( j /= 4_iwp ) .AND. ( vb >= 91._wp ) ) CYCLE
3731	IF ( ( j == 4_iwp ) .AND. ( vb < 89._wp ) ) CYCLE
3732	IF ( vb > 90._wp ) vb = 90._wp
3733	!
3734	!-- Loses by water
3735	ws = sw * 3600._wp * 1000._wp
3736	IF ( ws > 2000._wp ) ws = 2000._wp
3737	wd = ed / l_v * 3600._wp * ( -1000._wp )
3738	wr = erel / l_v * 3600._wp * ( -1000._wp )
3739
3740	wsum = ws + wr + wd
3741
3742	RETURN
3743	END DO
3744	END SUBROUTINE heat_exch
3745
3746	!------------------------------------------------------------------------------!
3747	! Description:
3748	! ------------
3749	!> Calculate PET
3750	!------------------------------------------------------------------------------!
3751	SUBROUTINE pet_iteration ( acl, adu, aeff, esw, facl, feff, int_heat, pair, &
3752	rdcl, rdsk, rtv, ta, tcl, tsk, pet_ij, vpts, wetsk )
3753	!
3754	!-- Input arguments:
3755	REAL(wp), INTENT( IN ) :: acl !< clothing surface area (mÂ²)
3756	REAL(wp), INTENT( IN ) :: adu !< Du-Bois area (mÂ²)
3757	REAL(wp), INTENT( IN ) :: esw !< energy-loss through sweat evap. (W)
3758	REAL(wp), INTENT( IN ) :: facl !< surface area extension through clothing (factor)
3759	REAL(wp), INTENT( IN ) :: feff !< surface modification by posture (factor)
3760	REAL(wp), INTENT( IN ) :: int_heat !< internal heat production (W)
3761	REAL(wp), INTENT( IN ) :: pair !< air pressure (hPa)
3762	REAL(wp), INTENT( IN ) :: rdcl !< diffusion resistence of clothing (factor)
3763	REAL(wp), INTENT( IN ) :: rdsk !< diffusion resistence of skin (factor)
3764	REAL(wp), INTENT( IN ) :: rtv !< respiratory volume
3765	REAL(wp), INTENT( IN ) :: ta !< air temperature (degree_C)
3766	REAL(wp), INTENT( IN ) :: tcl !< clothing temperature (degree_C)
3767	REAL(wp), INTENT( IN ) :: tsk !< skin temperature (degree_C)
3768	REAL(wp), INTENT( IN ) :: vpts !< sat. vapor pressure over skin (hPa)
3769	REAL(wp), INTENT( IN ) :: wetsk !< fraction of wet skin (dimensionless)
3770	!
3771	!-- Output arguments:
3772	REAL(wp), INTENT( OUT ) :: aeff !< effective surface area (mÂ²)
3773	REAL(wp), INTENT( OUT ) :: pet_ij !< PET (degree_C)
3774	!
3775	!-- Cconstants:
3776	REAL(wp), PARAMETER :: emcl = 0.95_wp !< Longwave emission coef. of cloth
3777	REAL(wp), PARAMETER :: emsk = 0.99_wp !< Longwave emission coef. of skin
3778	REAL(wp), PARAMETER :: po = 1013.25_wp !< Air pressure at sea level (hPa)
3779	!
3780	!-- Internal variables
3781	REAL ( wp ) :: cbare !< Convection through bare skin
3782	REAL ( wp ) :: cclo !< Convection through clothing
3783	REAL ( wp ) :: csum !< Convection in total
3784	REAL ( wp ) :: ed !< Diffusion (W)
3785	REAL ( wp ) :: enbal !< Energy ballance (W)
3786	REAL ( wp ) :: enbal2 !< Energy ballance (last iteration cycle)
3787	REAL ( wp ) :: ere !< Energy ballance result (W)
3788	REAL ( wp ) :: erel !< Latent energy ballance (W)
3789	REAL ( wp ) :: eres !< Sensible respiratory heat flux (W)
3790	REAL ( wp ) :: hc !<
3791	REAL ( wp ) :: rbare !< Radiational loss of bare skin (W/mÂ²)
3792	REAL ( wp ) :: rclo !< Radiational loss of clothing (W/mÂ²)
3793	REAL ( wp ) :: rsum !< Radiational loss or gain (W/mÂ²)
3794	REAL ( wp ) :: tex !< Temperat. of exhaled air (degree_C)
3795	REAL ( wp ) :: vpex !< Vapor pressure of exhaled air (hPa)
3796	REAL ( wp ) :: xx !< Delta PET per iteration (K)
3797
3798	INTEGER ( iwp ) :: count1 !< running index
3799	INTEGER ( iwp ) :: i !< running index
3800
3801	pet_ij = ta
3802	enbal2 = 0._wp
3803
3804	DO count1 = 0, 3
3805	DO i = 1, 125 ! 500 / 4
3806	hc = 2.67_wp + 6.5_wp * 0.1_wp ** 0.67_wp
3807	hc = hc * ( pair / po ) ** 0.55_wp
3808	!
3809	!-- Radiation
3810	aeff = adu * feff
3811	rbare = aeff * ( 1._wp - facl ) * emsk * sigma_sb * &
3812	( ( pet_ij + degc_to_k ) 4._wp - ( tsk + degc_to_k ) 4._wp )
3813	rclo = feff * acl * emcl * sigma_sb * &
3814	( ( pet_ij + degc_to_k ) 4._wp - ( tcl + degc_to_k ) 4._wp )
3815	rsum = rbare + rclo
3816	!
3817	!-- Covection
3818	cbare = hc * ( pet_ij - tsk ) * adu * ( 1._wp - facl )
3819	cclo = hc * ( pet_ij - tcl ) * acl
3820	csum = cbare + cclo
3821	!
3822	!-- Diffusion
3823	ed = l_v / ( rdsk + rdcl ) * adu * ( 1._wp - wetsk ) * ( 12._wp - &
3824	vpts )
3825	!
3826	!-- Respiration
3827	tex = 0.47_wp * pet_ij + 21._wp
3828	eres = c_p * ( pet_ij - tex ) * rtv
3829	vpex = 6.11_wp * 10._wp ** ( 7.45_wp * tex / ( 235._wp + tex ) )
3830	erel = 0.623_wp * l_v / pair * ( 12._wp - vpex ) * rtv
3831	ere = eres + erel
3832	!
3833	!-- Energy ballance
3834	enbal = int_heat + ed + ere + esw + csum + rsum
3835	!
3836	!-- Iteration concerning ta
3837	xx = 0.001_wp
3838	IF ( count1 == 0_iwp ) xx = 1._wp
3839	IF ( count1 == 1_iwp ) xx = 0.1_wp
3840	IF ( count1 == 2_iwp ) xx = 0.01_wp
3841	! IF ( count1 == 3_iwp ) xx = 0.001_wp
3842	IF ( enbal > 0._wp ) pet_ij = pet_ij - xx
3843	IF ( enbal < 0._wp ) pet_ij = pet_ij + xx
3844	IF ( ( enbal <= 0._wp ) .AND. ( enbal2 > 0._wp ) ) EXIT
3845	IF ( ( enbal >= 0._wp ) .AND. ( enbal2 < 0._wp ) ) EXIT
3846
3847	enbal2 = enbal
3848	END DO
3849	END DO
3850	END SUBROUTINE pet_iteration
3851
3852	!
3853	!-- UVEM specific subroutines
3854
3855	!---------------------------------------------------------------------------------------------------------------------!
3856	! Description:
3857	! ------------
3858	!> Module-specific routine for new module
3859	!---------------------------------------------------------------------------------------------------------------------!
3860	SUBROUTINE uvem_solar_position
3861
3862	USE date_and_time_mod, &
3863	ONLY: calc_date_and_time, day_of_year, time_utc
3864
3865	USE control_parameters, &
3866	ONLY: latitude, longitude
3867
3868	IMPLICIT NONE
3869
3870
3871	REAL(wp) :: alpha = 0.0_wp !< solar azimuth angle in radiant
3872	REAL(wp) :: doy_r = 0.0_wp !< real format of day_of_year
3873	REAL(wp) :: declination = 0.0_wp !< declination
3874	REAL(wp) :: dtor = 0.0_wp !< factor to convert degree to radiant
3875	REAL(wp) :: js = 0.0_wp !< parameter for solar position calculation
3876	REAL(wp) :: lat = 52.39_wp !< latitude
3877	REAL(wp) :: lon = 9.7_wp !< longitude
3878	REAL(wp) :: thetar = 0.0_wp !< angle for solar zenith angle calculation
3879	REAL(wp) :: thetasr = 0.0_wp !< angle for solar azimuth angle calculation
3880	REAL(wp) :: zgl = 0.0_wp !< calculated exposure by direct beam
3881	REAL(wp) :: woz = 0.0_wp !< calculated exposure by diffuse radiation
3882	REAL(wp) :: wsp = 0.0_wp !< calculated exposure by direct beam
3883
3884
3885	CALL calc_date_and_time
3886	doy_r = real(day_of_year)
3887	dtor = pi / 180.0_wp
3888	lat = latitude
3889	lon = longitude
3890	!
3891	!-- calculation of js, necessary for calculation of equation of time (zgl) :
3892	js= 72.0_wp * ( doy_r + ( time_utc / 86400.0_wp ) ) / 73.0_wp
3893	!
3894	!-- calculation of equation of time (zgl):
3895	zgl = 0.0066_wp + 7.3525_wp * cos( ( js + 85.9_wp ) * dtor ) + 9.9359_wp * &
3896	cos( ( 2.0_wp * js + 108.9_wp ) * dtor ) + 0.3387_wp * cos( ( 3 * js + 105.2_wp ) * dtor )
3897	!
3898	!-- calculation of apparent solar time woz:
3899	woz = ( ( time_utc / 3600.0_wp ) - ( 4.0_wp * ( 15.0_wp - lon ) ) / 60.0_wp ) + ( zgl / 60.0_wp )
3900	!
3901	!-- calculation of hour angle (wsp):
3902	wsp = ( woz - 12.0_wp ) * 15.0_wp
3903	!
3904	!-- calculation of declination:
3905	declination = 0.3948_wp - 23.2559_wp * cos( ( js + 9.1_wp ) * dtor ) - &
3906	0.3915_wp * cos( ( 2.0_wp * js + 5.4_wp ) * dtor ) - 0.1764_wp * cos( ( 3.0_wp * js + 26.0_wp ) * dtor )
3907	!
3908	!-- calculation of solar zenith angle
3909	thetar = acos( sin( lat * dtor) * sin( declination * dtor ) + cos( wsp * dtor ) * &
3910	cos( lat * dtor ) * cos( declination * dtor ) )
3911	thetasr = asin( sin( lat * dtor) * sin( declination * dtor ) + cos( wsp * dtor ) * &
3912	cos( lat * dtor ) * cos( declination * dtor ) )
3913	sza = thetar / dtor
3914	!
3915	!-- calculation of solar azimuth angle
3916	IF (woz .LE. 12.0_wp) alpha = pi - acos( ( sin(thetasr) * sin( lat * dtor ) - &
3917	sin( declination * dtor ) ) / ( cos(thetasr) * cos( lat * dtor ) ) )
3918	IF (woz .GT. 12.0_wp) alpha = pi + acos( ( sin(thetasr) * sin( lat * dtor ) - &
3919	sin( declination * dtor ) ) / ( cos(thetasr) * cos( lat * dtor ) ) )
3920	saa = alpha / dtor
3921
3922	END SUBROUTINE uvem_solar_position
3923
3924
3925	!------------------------------------------------------------------------------!
3926	! Description:
3927	! ------------
3928	!> Module-specific routine for new module
3929	!---------------------------------------------------------------------------------------------------------------------!
3930	SUBROUTINE uvem_calc_exposure
3931
3932	USE indices, &
3933	ONLY: nys, nyn, nxl, nxr
3934
3935
3936	IMPLICIT NONE
3937
3938	INTEGER(iwp) :: i !< loop index in x direction
3939	INTEGER(iwp) :: j !< loop index in y direction
3940	INTEGER(iwp) :: szai !< loop index for different sza values
3941
3942	CALL uvem_solar_position
3943
3944	IF (sza .GE. 90) THEN
3945	vitd3_exposure(:,:) = 0.0_wp
3946	ELSE
3947
3948	DO ai = 0, 35
3949	DO zi = 0, 9
3950	projection_area_lookup_table(ai,zi) = uvem_projarea_f%var(clothing,zi,ai)
3951	ENDDO
3952	ENDDO
3953	DO ai = 0, 35
3954	DO zi = 0, 9
3955	integration_array(ai,zi) = uvem_integration_f%var(zi,ai)
3956	ENDDO
3957	ENDDO
3958	DO ai = 0, 2
3959	DO zi = 0, 90
3960	irradiance_lookup_table(ai,zi) = uvem_irradiance_f%var(zi,ai)
3961	ENDDO
3962	ENDDO
3963	DO ai = 0, 35
3964	DO zi = 0, 9
3965	DO szai = 0, 90
3966	radiance_lookup_table(ai,zi,szai) = uvem_radiance_f%var(szai,zi,ai)
3967	ENDDO
3968	ENDDO
3969	ENDDO
3970
3971
3972
3973	!-- rotate 3D-Model human to desired direction -----------------------------
3974	projection_area_temp( 0:35,:) = projection_area_lookup_table
3975	projection_area_temp(36:71,:) = projection_area_lookup_table
3976	IF ( .NOT. turn_to_sun ) startpos_human = orientation_angle / 10.0_wp
3977	IF ( turn_to_sun ) startpos_human = saa / 10.0_wp
3978	DO ai = 0, 35
3979	xfactor = ( startpos_human ) - INT( startpos_human )
3980	DO zi = 0, 9
3981	projection_area(ai,zi) = ( projection_area_temp( 36 - INT( startpos_human ) - 1 + ai , zi) * &
3982	( xfactor ) ) &
3983	+( projection_area_temp( 36 - INT( startpos_human ) + ai , zi) * &
3984	( 1.0_wp - xfactor ) )
3985	ENDDO
3986	ENDDO
3987	!
3988	!
3989	!-- interpolate to accurate Solar Zenith Angle ------------------
3990	DO ai = 0, 35
3991	xfactor = (sza)-INT(sza)
3992	DO zi = 0, 9
3993	radiance_array(ai,zi) = ( radiance_lookup_table(ai, zi, INT(sza) ) * ( 1.0_wp - xfactor) ) + &
3994	( radiance_lookup_table(ai,zi,INT(sza) + 1) * xfactor )
3995	ENDDO
3996	ENDDO
3997	DO iq = 0, 2
3998	irradiance(iq) = ( irradiance_lookup_table(iq, INT(sza) ) * ( 1.0_wp - xfactor)) + &
3999	(irradiance_lookup_table(iq, INT(sza) + 1) * xfactor )
4000	ENDDO
4001	!
4002	!-- interpolate to accurate Solar Azimuth Angle ------------------
4003	IF ( sun_in_south ) THEN
4004	startpos_saa_float = 180.0_wp / 10.0_wp
4005	ELSE
4006	startpos_saa_float = saa / 10.0_wp
4007	ENDIF
4008	radiance_array_temp( 0:35,:) = radiance_array
4009	radiance_array_temp(36:71,:) = radiance_array
4010	xfactor = (startpos_saa_float) - INT(startpos_saa_float)
4011	DO ai = 0, 35
4012	DO zi = 0, 9
4013	radiance_array(ai,zi) = ( radiance_array_temp( 36 - INT( startpos_saa_float ) - 1 + ai , zi ) * &
4014	( xfactor ) ) &
4015	+ ( radiance_array_temp( 36 - INT( startpos_saa_float ) + ai , zi ) &
4016	* ( 1.0_wp - xfactor ) )
4017	ENDDO
4018	ENDDO
4019	!
4020	!
4021	!-- calculate Projectionarea for direct beam -----------------------------'
4022	projection_area_direct_temp( 0:35,:) = projection_area
4023	projection_area_direct_temp(36:71,:) = projection_area
4024	yfactor = ( sza / 10.0_wp ) - INT( sza / 10.0_wp )
4025	xfactor = ( startpos_saa_float ) - INT( startpos_saa_float )
4026	projection_area_direct_beam = ( projection_area_direct_temp( INT(startpos_saa_float) ,INT(sza/10.0_wp) ) * &
4027	( 1.0_wp - xfactor ) * ( 1.0_wp - yfactor ) ) + &
4028	( projection_area_direct_temp( INT(startpos_saa_float) + 1,INT(sza/10.0_wp) ) * &
4029	( xfactor ) * ( 1.0_wp - yfactor ) ) + &
4030	( projection_area_direct_temp( INT(startpos_saa_float) ,INT(sza/10.0_wp)+1) * &
4031	( 1.0_wp - xfactor ) * ( yfactor ) ) + &
4032	( projection_area_direct_temp( INT(startpos_saa_float) + 1,INT(sza/10.0_wp)+1) * &
4033	( xfactor ) * ( yfactor ) )
4034	!
4035	!
4036	!
4037	DO i = nxl, nxr
4038	DO j = nys, nyn
4039	!
4040	! !-- extract obstruction from IBSET-Integer_Array ------------------'
4041	IF (consider_obstructions ) THEN
4042	obstruction_temp1 = building_obstruction_f%var_3d(:,j,i)
4043	IF (obstruction_temp1(0) .NE. 9) THEN
4044	DO pobi = 0, 44
4045	DO bi = 0, 7
4046	IF ( btest( obstruction_temp1(pobi), bi ) .EQV. .TRUE.) THEN
4047	obstruction_temp2( ( pobi * 8 ) + bi ) = 1
4048	ELSE
4049	obstruction_temp2( ( pobi * 8 ) + bi ) = 0
4050	ENDIF
4051	ENDDO
4052	ENDDO
4053	DO zi = 0, 9
4054	obstruction(:,zi) = obstruction_temp2( zi * 36 :( zi * 36) + 35 )
4055	ENDDO
4056	ELSE
4057	obstruction(:,:) = 0
4058	ENDIF
4059	ENDIF
4060	!
4061	! !-- calculated human exposure ------------------'
4062	diffuse_exposure = SUM( radiance_array * projection_area * integration_array * obstruction )
4063
4064	obstruction_direct_beam = obstruction( nint(startpos_saa_float), nint( sza / 10.0_wp ) )
4065	IF (sza .GE. 89.99_wp) THEN
4066	sza = 89.99999_wp
4067	ENDIF
4068	!
4069	!-- calculate direct normal irradiance (direct beam) ------------------'
4070	direct_exposure = ( irradiance(1) / cos( pi * sza / 180.0_wp ) ) * &
4071	projection_area_direct_beam * obstruction_direct_beam
4072
4073	vitd3_exposure(j,i) = ( diffuse_exposure + direct_exposure ) / 1000.0_wp * 70.97_wp
4074	! unit = international units vitamin D per second
4075	ENDDO
4076	ENDDO
4077	ENDIF
4078
4079	END SUBROUTINE uvem_calc_exposure
4080
4081	END MODULE biometeorology_mod

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source: palm/trunk/SOURCE/biometeorology_mod.f90 @ 3620

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