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source: palm/trunk/SOURCE/wind_turbine_model_mod.f90 @ 3985

Last change on this file since 3985 was 3885, checked in by kanani, 6 years ago
restructure/add location/debug messages
Property svn:keywords set to `Id`
File size: 122.0 KB

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[1820]	1	!> @file wind_turbine_model_mod.f90
[1912]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1819]	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1819]	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
[3885]	17	! Copyright 2009-2019 Carl von Ossietzky Universitaet Oldenburg
[3655]	18	! Copyright 1997-2019 Leibniz Universitaet Hannover
[1912]	19	!------------------------------------------------------------------------------!
[1819]	20	!
	21	! Current revisions:
	22	! -----------------
[1913]	23	!
[3139]	24	!
[1913]	25	! Former revisions:
	26	! -----------------
	27	! $Id: wind_turbine_model_mod.f90 3885 2019-04-11 11:29:34Z suehring $
[3885]	28	! Changes related to global restructuring of location messages and introduction
	29	! of additional debug messages
	30	!
	31	! 3875 2019-04-08 17:35:12Z knoop
[3875]	32	! Addaped wtm_tendency to fit the module actions interface
	33	!
	34	! 3832 2019-03-28 13:16:58Z raasch
[3832]	35	! instrumented with openmp directives
	36	!
	37	! 3725 2019-02-07 10:11:02Z raasch
[3725]	38	! unused variables removed
	39	!
	40	! 3685 2019-01-21 01:02:11Z knoop
[3685]	41	! Some interface calls moved to module_interface + cleanup
	42	!
	43	! 3655 2019-01-07 16:51:22Z knoop
[3593]	44	! Replace degree symbol by 'degrees'
	45	!
	46	! 3274 2018-09-24 15:42:55Z knoop
[3274]	47	! Modularization of all bulk cloud physics code components
	48	!
	49	! 3248 2018-09-14 09:42:06Z sward
[3248]	50	! Minor formating changes
	51	!
	52	! 3246 2018-09-13 15:14:50Z sward
[3246]	53	! Added error handling for input namelist via parin_fail_message
	54	!
	55	! 3241 2018-09-12 15:02:00Z raasch
[3241]	56	! unused variables removed
	57	!
	58	! 3182 2018-07-27 13:36:03Z suehring
[3174]	59	! Check for vertical stretching has been revised.
	60	!
	61	! 3139 2018-07-17 11:30:10Z Giersch
[3139]	62	! Bugfix in calculation of alpha_attack
	63	!
	64	! 3069 2018-06-15 07:56:09Z witha
[3069]	65	! Initialization of some arrays added
	66	!
	67	! 3066 2018-06-12 08:55:55Z Giersch
[3066]	68	! Error message revised
[3069]	69	!
[3066]	70	! 3065 2018-06-12 07:03:02Z Giersch
[3065]	71	! dz was replaced by dz(1), error message concerning grid stretching has been
	72	! introduced
	73	!
	74	! 3049 2018-05-29 13:52:36Z Giersch
[3049]	75	! Error messages revised
	76	!
	77	! 2932 2018-03-26 09:39:22Z Giersch
[2932]	78	! renamed wind_turbine_par to wind_turbine_parameters
	79	!
	80	! 2894 2018-03-15 09:17:58Z Giersch
[2894]	81	! variable named found has been introduced for checking if restart data was
	82	! found, reading of restart strings has been moved completely to
	83	! read_restart_data_mod, wind_turbine_prerun flag has been removed, redundant
	84	! skipping function has been removed, wtm_read/write_restart_data have been
	85	! renamed to wtm_r/wrd_global, wtm_rrd_global is called in
	86	! read_restart_data_mod now, marker * end wtm * was removed, strings and
	87	! their respective lengths are written out and read now in case of restart
	88	! runs to get rid of prescribed character lengths, CASE DEFAULT was added if
	89	! restart data is read
	90	!
	91	! 2885 2018-03-14 11:02:46Z Giersch
[2836]	92	! Bugfix in interpolation of lift and drag coefficients on fine grid of radius
	93	! segments and angles of attack, speed-up of the initialization of the wind
	94	! turbine model
	95	!
	96	! 2792 2018-02-07 06:45:29Z Giersch
[2792]	97	! omega_rot_l has to be calculated after determining the indices for the hub in
	98	! case of restart runs
	99	!
	100	! 2776 2018-01-31 10:44:42Z Giersch
[2776]	101	! wind_turbine_prerun flag is used to define if module
	102	! related parameters were outputted as restart data
	103	!
	104	! 2718 2018-01-02 08:49:38Z maronga
[2716]	105	! Corrected "Former revisions" section
	106	!
	107	! 2696 2017-12-14 17:12:51Z kanani
	108	! Change in file header (GPL part)
	109	!
	110	! 2669 2017-12-06 16:03:27Z raasch
[2669]	111	! filename of turbine output changed to WTM_OUTPUT_DATA. File extension now
	112	! includes the nest domain number. Turbine extension changed to "_T##"
	113	!
	114	! 2576 2017-10-24 13:49:46Z Giersch
[2894]	115	! Definition of a new function called wtm_skip_global to skip module
[2576]	116	! parameters during reading restart data
	117	!
	118	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	119	! Restart runs with wind turbine model are possible now. For this purpose, two
	120	! new subroutines wtm_write_restart_data and wtm_read_restart_data had to be
	121	! defined
	122	!
	123	! 2553 2017-10-18 08:03:45Z Giersch
[2553]	124	! Bugfix of vertical loop in wtm_tendencies to account for different turbine
	125	! heights, bugfix of the interpolation of the u-component concerning the
	126	! vertical index and further small adjustments of the programming style
	127	!
	128	! 2410 2017-09-06 08:16:30Z Giersch
[2410]	129	! Revise error message PA0462
	130	!
	131	! 2349 2017-08-10 15:44:04Z Giersch
[2349]	132	! Add parameter pitch_rate to namelist and revise/add error messages
	133	!
	134	! 2343 2017-08-08 11:28:43Z Giersch
[2341]	135	! Unit correction in Doxygen comments
[2323]	136	!
[2343]	137	! 2323 2017-07-26 12:57:38Z Giersch
	138	! Change unit number of file WTM_DATA from 201 to 90
	139	!
[2323]	140	! 2322 2017-07-26 08:30:28Z Giersch
[2322]	141	! Bugfix of error message and assign error numbers
	142	!
	143	! 2257 2017-06-07 14:07:05Z witha
[2257]	144	! Bugfix: turb_cl_tab and turb_cd_tab were set to zero before being allocated
[1844]	145	!
[2257]	146	! 2233 2017-05-30 18:08:54Z suehring
	147	!
[2233]	148	! 2232 2017-05-30 17:47:52Z suehring
	149	! Adjustments to new topography concept
	150	!
[2153]	151	! 2152 2017-02-17 13:27:24Z lvollmer
	152	! Bugfix in subroutine wtm_read_blade_tables
	153	! Addition of a tip loss model
	154	!
[2016]	155	! 2015 2016-09-28 08:45:18Z lvollmer
	156	! Bugfix of pitch control
	157	!
[2001]	158	! 2000 2016-08-20 18:09:15Z knoop
	159	! Forced header and separation lines into 80 columns
	160	!
[1930]	161	! 1929 2016-06-09 16:25:25Z suehring
	162	! Bugfix: added preprocessor directives for parallel and serial mode
	163	!
[1917]	164	! 1914 2016-05-26 14:44:07Z witha
[1821]	165	! Initial revision
	166	!
[1819]	167	!
	168	! Description:
	169	! ------------
	170	!> This module calculates the effect of wind turbines on the flow fields. The
	171	!> initial version contains only the advanced actuator disk with rotation method
	172	!> (ADM-R).
	173	!> The wind turbines include the tower effect, can be yawed and tilted.
	174	!> The wind turbine model includes controllers for rotational speed, pitch and
	175	!> yaw.
	176	!> Currently some specifications of the NREL 5 MW reference turbine
	177	!> are hardcoded whereas most input data comes from separate files (currently
	178	!> external, planned to be included as namelist which will be read in
	179	!> automatically).
	180	!>
[3065]	181	!> @todo Replace dz(1) appropriatly to account for grid stretching
[1819]	182	!> @todo Revise code according to PALM Coding Standard
	183	!> @todo Implement ADM and ALM turbine models
	184	!> @todo Generate header information
[1917]	185	!> @todo Implement further parameter checks and error messages
[1819]	186	!> @todo Revise and add code documentation
	187	!> @todo Output turbine parameters as timeseries
	188	!> @todo Include additional output variables
[1864]	189	!> @todo Revise smearing the forces for turbines in yaw
	190	!> @todo Revise nacelle and tower parameterization
	191	!> @todo Allow different turbine types in one simulation
[1819]	192	!
	193	!------------------------------------------------------------------------------!
	194	MODULE wind_turbine_model_mod
	195
	196	USE arrays_3d, &
[2553]	197	ONLY: tend, u, v, w, zu, zw
[1819]	198
[3274]	199	USE basic_constants_and_equations_mod, &
[2553]	200	ONLY: pi
[1819]	201
	202	USE control_parameters, &
[3885]	203	ONLY: coupling_char, &
	204	debug_output, &
	205	dt_3d, dz, message_string, simulated_time, &
[2894]	206	wind_turbine, initializing_actions
[1819]	207
	208	USE cpulog, &
	209	ONLY: cpu_log, log_point_s
	210
	211	USE grid_variables, &
	212	ONLY: ddx, dx, ddy, dy
	213
	214	USE indices, &
	215	ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nz, &
[2232]	216	nzb, nzt, wall_flags_0
[1819]	217
	218	USE kinds
	219
	220	USE pegrid
	221
	222
	223	IMPLICIT NONE
	224
[1864]	225	PRIVATE
[1819]	226
	227	!
	228	!-- Variables specified in the namelist wind_turbine_par
	229
[1864]	230	INTEGER(iwp) :: nairfoils = 8 !< number of airfoils of the used turbine model (for ADM-R and ALM)
[1839]	231	INTEGER(iwp) :: nturbines = 1 !< number of turbines
[1819]	232
[1839]	233	LOGICAL :: pitch_control = .FALSE. !< switch for use of pitch controller
	234	LOGICAL :: speed_control = .FALSE. !< switch for use of speed controller
	235	LOGICAL :: yaw_control = .FALSE. !< switch for use of yaw controller
[2152]	236	LOGICAL :: tl_cor = .FALSE. !< switch for use of tip loss correct.
[1819]	237
[1839]	238	REAL(wp) :: segment_length = 1.0_wp !< length of the segments, the rotor area is divided into
	239	!< (in tangential direction, as factor of MIN(dx,dy,dz))
	240	REAL(wp) :: segment_width = 0.5_wp !< width of the segments, the rotor area is divided into
	241	!< (in radial direction, as factor of MIN(dx,dy,dz))
	242	REAL(wp) :: time_turbine_on = 0.0_wp !< time at which turbines are started
	243	REAL(wp) :: tilt = 0.0_wp !< vertical tilt of the rotor [degree] ( positive = backwards )
[1819]	244
[1912]	245	REAL(wp), DIMENSION(1:100) :: dtow = 0.0_wp !< tower diameter [m]
[2553]	246	REAL(wp), DIMENSION(1:100) :: omega_rot = 0.9_wp !< inital or constant rotor speed [rad/s]
[1912]	247	REAL(wp), DIMENSION(1:100) :: phi_yaw = 0.0_wp !< yaw angle [degree] ( clockwise, 0 = facing west )
	248	REAL(wp), DIMENSION(1:100) :: pitch_add = 0.0_wp !< constant pitch angle
	249	REAL(wp), DIMENSION(1:100) :: rcx = 9999999.9_wp !< position of hub in x-direction
	250	REAL(wp), DIMENSION(1:100) :: rcy = 9999999.9_wp !< position of hub in y-direction
	251	REAL(wp), DIMENSION(1:100) :: rcz = 9999999.9_wp !< position of hub in z-direction
	252	REAL(wp), DIMENSION(1:100) :: rnac = 0.0_wp !< nacelle diameter [m]
	253	REAL(wp), DIMENSION(1:100) :: rr = 63.0_wp !< rotor radius [m]
[3725]	254	! REAL(wp), DIMENSION(1:100) :: turb_cd_nacelle = 0.85_wp !< drag coefficient for nacelle
[1912]	255	REAL(wp), DIMENSION(1:100) :: turb_cd_tower = 1.2_wp !< drag coefficient for tower
[1839]	256
[1819]	257	!
	258	!-- Variables specified in the namelist for speed controller
	259	!-- Default values are from the NREL 5MW research turbine (Jonkman, 2008)
	260
[1912]	261	REAL(wp) :: rated_power = 5296610.0_wp !< rated turbine power [W]
[1839]	262	REAL(wp) :: gear_ratio = 97.0_wp !< Gear ratio from rotor to generator
[2341]	263	REAL(wp) :: inertia_rot = 34784179.0_wp !< Inertia of the rotor [kg*m2]
	264	REAL(wp) :: inertia_gen = 534.116_wp !< Inertia of the generator [kg*m2]
[1839]	265	REAL(wp) :: gen_eff = 0.944_wp !< Electric efficiency of the generator
	266	REAL(wp) :: gear_eff = 1.0_wp !< Loss between rotor and generator
	267	REAL(wp) :: air_dens = 1.225_wp !< Air density to convert to W [kg/m3]
	268	REAL(wp) :: rated_genspeed = 121.6805_wp !< Rated generator speed [rad/s]
[1912]	269	REAL(wp) :: max_torque_gen = 47402.91_wp !< Maximum of the generator torque [Nm]
[1839]	270	REAL(wp) :: slope2 = 2.332287_wp !< Slope constant for region 2
	271	REAL(wp) :: min_reg2 = 91.21091_wp !< Lower generator speed boundary of region 2 [rad/s]
	272	REAL(wp) :: min_reg15 = 70.16224_wp !< Lower generator speed boundary of region 1.5 [rad/s]
[1912]	273	REAL(wp) :: max_trq_rate = 15000.0_wp !< Max generator torque increase [Nm/s]
	274	REAL(wp) :: pitch_rate = 8.0_wp !< Max pitch rate [degree/s]
[1839]	275
[1912]	276
[1819]	277	!
	278	!-- Variables specified in the namelist for yaw control
	279
[1839]	280	REAL(wp) :: yaw_speed = 0.005236_wp !< speed of the yaw actuator [rad/s]
	281	REAL(wp) :: max_miss = 0.08726_wp !< maximum tolerated yaw missalignment [rad]
	282	REAL(wp) :: min_miss = 0.008726_wp !< minimum yaw missalignment for which the actuator stops [rad]
	283
[1819]	284	!
	285	!-- Set flag for output files TURBINE_PARAMETERS
	286	TYPE file_status
	287	LOGICAL :: opened, opened_before
	288	END TYPE file_status
	289
[1912]	290	TYPE(file_status), DIMENSION(500) :: openfile_turb_mod = &
	291	file_status(.FALSE.,.FALSE.)
[1819]	292
	293	!
	294	!-- Variables for initialization of the turbine model
	295
[1839]	296	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	297	INTEGER(iwp) :: nsegs_max !< maximum number of segments (all turbines, required for allocation of arrays)
	298	INTEGER(iwp) :: nrings_max !< maximum number of rings (all turbines, required for allocation of arrays)
	299	INTEGER(iwp) :: ring !< ring loop index (ring number)
	300	INTEGER(iwp) :: upper_end !<
[1819]	301
[1839]	302	INTEGER(iwp), DIMENSION(1) :: lct !<
[1819]	303
[1912]	304	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_hub !< index belonging to x-position of the turbine
	305	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_smear !< index defining the area for the smearing of the forces (x-direction)
	306	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_hub !< index belonging to y-position of the turbine
	307	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_smear !< index defining the area for the smearing of the forces (y-direction)
	308	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_hub !< index belonging to hub height
	309	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_smear !< index defining the area for the smearing of the forces (z-direction)
	310	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nrings !< number of rings per turbine
	311	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nsegs_total !< total number of segments per turbine
[1819]	312
[1912]	313	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nsegs !< number of segments per ring and turbine
[1819]	314
[1912]	315	!
	316	!- parameters for the smearing from the rotor to the cartesian grid
[1864]	317	REAL(wp) :: pol_a !< parameter for the polynomial smearing fct
	318	REAL(wp) :: pol_b !< parameter for the polynomial smearing fct
[1912]	319	REAL(wp) :: delta_t_factor !<
[1864]	320	REAL(wp) :: eps_factor !<
[1839]	321	REAL(wp) :: eps_min !<
	322	REAL(wp) :: eps_min2 !<
[1819]	323
[1839]	324	!
	325	!-- Variables for the calculation of lift and drag coefficients
[1912]	326	REAL(wp), DIMENSION(:), ALLOCATABLE :: ard !<
	327	REAL(wp), DIMENSION(:), ALLOCATABLE :: crd !<
	328	REAL(wp), DIMENSION(:), ALLOCATABLE :: delta_r !< radial segment length
	329	REAL(wp), DIMENSION(:), ALLOCATABLE :: lrd !<
[1864]	330
[1912]	331	REAL(wp) :: accu_cl_cd_tab = 0.1_wp !< Accuracy of the interpolation of
	332	!< the lift and drag coeff [deg]
[1819]	333
[1912]	334	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_tab !< table of the blade drag coefficient
	335	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_tab !< table of the blade lift coefficient
[1819]	336
[1912]	337	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: nac_cd_surf !< 3d field of the tower drag coefficient
	338	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: tow_cd_surf !< 3d field of the nacelle drag coefficient
[1819]	339
	340	!
	341	!-- Variables for the calculation of the forces
[1912]	342
[1839]	343	REAL(wp) :: cur_r !<
	344	REAL(wp) :: phi_rotor !<
	345	REAL(wp) :: pre_factor !<
	346	REAL(wp) :: torque_seg !<
	347	REAL(wp) :: u_int_l !<
	348	REAL(wp) :: u_int_u !<
	349	REAL(wp) :: u_rot !<
	350	REAL(wp) :: v_int_l !<
	351	REAL(wp) :: v_int_u !<
	352	REAL(wp) :: w_int_l !<
	353	REAL(wp) :: w_int_u !<
[3832]	354	!$OMP THREADPRIVATE (cur_r, phi_rotor, pre_factor, torque_seg, u_int_l, u_int_u, u_rot, &
	355	!$OMP& v_int_l, v_int_u, w_int_l, w_int_u)
[1912]	356	!
	357	!- Tendencies from the nacelle and tower thrust
	358	REAL(wp) :: tend_nac_x = 0.0_wp !<
	359	REAL(wp) :: tend_tow_x = 0.0_wp !<
	360	REAL(wp) :: tend_nac_y = 0.0_wp !<
	361	REAL(wp) :: tend_tow_y = 0.0_wp !<
[3832]	362	!$OMP THREADPRIVATE (tend_nac_x, tend_tow_x, tend_nac_y, tend_tow_y)
[1819]	363
[1912]	364	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack !<
	365	REAL(wp), DIMENSION(:), ALLOCATABLE :: chord !<
	366	REAL(wp), DIMENSION(:), ALLOCATABLE :: phi_rel !<
	367	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_total !<
	368	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_rotor !<
	369	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl !<
	370	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd !<
	371	REAL(wp), DIMENSION(:), ALLOCATABLE :: vrel !<
	372	REAL(wp), DIMENSION(:), ALLOCATABLE :: vtheta !<
	373
	374	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rbx, rby, rbz !< coordinates of the blade elements
	375	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rotx, roty, rotz !< normal vectors to the rotor coordinates
	376
	377	!
	378	!- Fields for the interpolation of velocities on the rotor grid
	379	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int !<
	380	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int_1_l !<
	381	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int !<
	382	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int_1_l !<
	383	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int !<
	384	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int_1_l !<
	385
	386	!
	387	!- rotor tendencies on the segments
	388	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_seg !<
	389	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_y !<
	390	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_z !<
	391
	392	!
	393	!- rotor tendencies on the rings
	394	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: thrust_ring !<
	395	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_y !<
	396	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_z !<
	397
	398	!
	399	!- rotor tendencies on rotor grids for all turbines
	400	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: thrust !<
	401	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_y !<
	402	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_z !<
	403
	404	!
	405	!- rotor tendencies on coordinate grid
	406	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_x !<
	407	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_y !<
	408	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_z !<
	409	!
	410	!- variables for the rotation of the rotor coordinates
	411	REAL(wp), DIMENSION(1:100,1:3,1:3) :: rot_coord_trans !< matrix for rotation of rotor coordinates
	412
[1839]	413	REAL(wp), DIMENSION(1:3) :: rot_eigen_rad !<
	414	REAL(wp), DIMENSION(1:3) :: rot_eigen_azi !<
	415	REAL(wp), DIMENSION(1:3) :: rot_eigen_nor !<
	416	REAL(wp), DIMENSION(1:3) :: re !<
	417	REAL(wp), DIMENSION(1:3) :: rea !<
	418	REAL(wp), DIMENSION(1:3) :: ren !<
	419	REAL(wp), DIMENSION(1:3) :: rote !<
	420	REAL(wp), DIMENSION(1:3) :: rota !<
	421	REAL(wp), DIMENSION(1:3) :: rotn !<
[1819]	422
[1839]	423	!
	424	!-- Fixed variables for the speed controller
[1819]	425
[1912]	426	LOGICAL :: start_up = .TRUE. !<
[1864]	427
[1912]	428	REAL(wp) :: Fcorner !< corner freq for the controller low pass filter
	429	REAL(wp) :: min_reg25 !< min region 2.5
	430	REAL(wp) :: om_rate !< rotor speed change
	431	REAL(wp) :: slope15 !< slope in region 1.5
	432	REAL(wp) :: slope25 !< slope in region 2.5
	433	REAL(wp) :: trq_rate !< torque change
	434	REAL(wp) :: vs_sysp !<
	435	REAL(wp) :: lp_coeff !< coeff for the controller low pass filter
[1819]	436
[1864]	437	REAL(wp), DIMENSION(100) :: omega_rot_l = 0.0_wp !< local rot speed [rad/s]
[2563]	438
[1839]	439	!
	440	!-- Fixed variables for the yaw controller
[1819]	441
[1912]	442	REAL(wp), DIMENSION(:) , ALLOCATABLE :: yawdir !< direction to yaw
	443	REAL(wp), DIMENSION(:) , ALLOCATABLE :: phi_yaw_l !< local (cpu) yaw angle
	444	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd30_l !< local (cpu) long running avg of the wd
	445	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd2_l !< local (cpu) short running avg of the wd
	446	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir !< wind direction at hub
	447	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow !< wind speed at hub
	448	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir_l !<
	449	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow_l !<
	450	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd30 !<
	451	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd2 !<
	452	LOGICAL, DIMENSION(1:100) :: doyaw = .FALSE. !<
	453	INTEGER(iwp) :: WDLON !<
	454	INTEGER(iwp) :: WDSHO !<
[1819]	455
[2563]	456	!
	457	!-- Variables that have to be saved in the binary file for restarts
	458	REAL(wp), DIMENSION(1:100) :: pitch_add_old = 0.0_wp !< old constant pitch angle
	459	REAL(wp), DIMENSION(1:100) :: omega_gen = 0.0_wp !< curr. generator speed
	460	REAL(wp), DIMENSION(1:100) :: omega_gen_f = 0.0_wp !< filtered generator speed
	461	REAL(wp), DIMENSION(1:100) :: omega_gen_old = 0.0_wp !< last generator speed
	462	REAL(wp), DIMENSION(1:100) :: omega_gen_f_old = 0.0_wp !< last filtered generator speed
	463	REAL(wp), DIMENSION(1:100) :: torque_gen = 0.0_wp !< generator torque
	464	REAL(wp), DIMENSION(1:100) :: torque_gen_old = 0.0_wp !< last generator torque
[1819]	465
[2563]	466
[1839]	467	SAVE
[1819]	468
[1839]	469
	470	INTERFACE wtm_parin
	471	MODULE PROCEDURE wtm_parin
	472	END INTERFACE wtm_parin
[2563]	473
[1912]	474	INTERFACE wtm_check_parameters
	475	MODULE PROCEDURE wtm_check_parameters
	476	END INTERFACE wtm_check_parameters
[3875]	477
[1839]	478	INTERFACE wtm_init_arrays
	479	MODULE PROCEDURE wtm_init_arrays
	480	END INTERFACE wtm_init_arrays
	481
	482	INTERFACE wtm_init
	483	MODULE PROCEDURE wtm_init
	484	END INTERFACE wtm_init
[2553]	485
[3875]	486	INTERFACE wtm_actions
	487	MODULE PROCEDURE wtm_actions
	488	MODULE PROCEDURE wtm_actions_ij
	489	END INTERFACE wtm_actions
[1819]	490
[3875]	491	INTERFACE wtm_rrd_global
	492	MODULE PROCEDURE wtm_rrd_global
	493	END INTERFACE wtm_rrd_global
[1819]	494
[3875]	495	INTERFACE wtm_wrd_global
	496	MODULE PROCEDURE wtm_wrd_global
	497	END INTERFACE wtm_wrd_global
[2563]	498
[3875]	499
	500	PUBLIC &
	501	wtm_parin, &
	502	wtm_check_parameters, &
	503	wtm_init_arrays, &
	504	wtm_init, &
	505	wtm_actions, &
	506	wtm_rrd_global, &
	507	wtm_wrd_global
	508
	509
[1819]	510	CONTAINS
	511
	512
	513	!------------------------------------------------------------------------------!
	514	! Description:
	515	! ------------
[1839]	516	!> Parin for &wind_turbine_par for wind turbine model
[1819]	517	!------------------------------------------------------------------------------!
[1839]	518	SUBROUTINE wtm_parin
[1819]	519
	520
	521	IMPLICIT NONE
[1912]	522
[1839]	523	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	524
	525	NAMELIST /wind_turbine_par/ air_dens, dtow, gear_eff, gear_ratio, &
[1864]	526	gen_eff, inertia_gen, inertia_rot, max_miss, &
[1839]	527	max_torque_gen, max_trq_rate, min_miss, &
[1864]	528	min_reg15, min_reg2, nairfoils, nturbines, &
[1912]	529	omega_rot, phi_yaw, pitch_add, pitch_control,&
[1839]	530	rated_genspeed, rated_power, rcx, rcy, rcz, &
	531	rnac, rr, segment_length, segment_width, &
[1864]	532	slope2, speed_control, tilt, time_turbine_on,&
[3725]	533	turb_cd_tower, pitch_rate, &
[2152]	534	yaw_control, yaw_speed, tl_cor
[3725]	535	! , turb_cd_nacelle
[2932]	536
	537	NAMELIST /wind_turbine_parameters/ &
	538	air_dens, dtow, gear_eff, gear_ratio, &
	539	gen_eff, inertia_gen, inertia_rot, max_miss, &
	540	max_torque_gen, max_trq_rate, min_miss, &
	541	min_reg15, min_reg2, nairfoils, nturbines, &
	542	omega_rot, phi_yaw, pitch_add, pitch_control,&
	543	rated_genspeed, rated_power, rcx, rcy, rcz, &
	544	rnac, rr, segment_length, segment_width, &
	545	slope2, speed_control, tilt, time_turbine_on,&
[3725]	546	turb_cd_tower, pitch_rate, &
[2932]	547	yaw_control, yaw_speed, tl_cor
[3725]	548	! , turb_cd_nacelle
[1819]	549	!
[1839]	550	!-- Try to find wind turbine model package
	551	REWIND ( 11 )
	552	line = ' '
[3248]	553	DO WHILE ( INDEX( line, '&wind_turbine_parameters' ) == 0 )
[3246]	554	READ ( 11, '(A)', END=12 ) line
[1839]	555	ENDDO
	556	BACKSPACE ( 11 )
	557
	558	!
	559	!-- Read user-defined namelist
[3246]	560	READ ( 11, wind_turbine_parameters, ERR = 10 )
[2932]	561	!
	562	!-- Set flag that indicates that the wind turbine model is switched on
	563	wind_turbine = .TRUE.
	564
[3246]	565	GOTO 14
[2932]	566
[3246]	567	10 BACKSPACE( 11 )
[3248]	568	READ( 11 , '(A)') line
	569	CALL parin_fail_message( 'wind_turbine_parameters', line )
[3246]	570
[2932]	571	!
	572	!-- Try to find wind turbine model package
[3246]	573	12 REWIND ( 11 )
[2932]	574	line = ' '
[3248]	575	DO WHILE ( INDEX( line, '&wind_turbine_par' ) == 0 )
[3246]	576	READ ( 11, '(A)', END=14 ) line
[2932]	577	ENDDO
	578	BACKSPACE ( 11 )
	579
	580	!
	581	!-- Read user-defined namelist
[3246]	582	READ ( 11, wind_turbine_par, ERR = 13, END = 14 )
[2932]	583
	584	message_string = 'namelist wind_tubrine_par is deprecated and will ' // &
[3046]	585	'be removed in near future. &Please use namelist ' // &
[2932]	586	'wind_turbine_parameters instead'
	587	CALL message( 'wtm_parin', 'PA0487', 0, 1, 0, 6, 0 )
	588
[1839]	589	!
	590	!-- Set flag that indicates that the wind turbine model is switched on
	591	wind_turbine = .TRUE.
	592
[3246]	593	GOTO 14
[2563]	594
[3246]	595	13 BACKSPACE( 11 )
[3248]	596	READ( 11 , '(A)') line
	597	CALL parin_fail_message( 'wind_turbine_par', line )
[1839]	598
[3246]	599	14 CONTINUE ! TBD Change from continue, mit ierrn machen
	600
	601
[1839]	602	END SUBROUTINE wtm_parin
	603
[2563]	604
	605	!------------------------------------------------------------------------------!
	606	! Description:
	607	! ------------
[2894]	608	!> This routine writes the respective restart data.
[2576]	609	!------------------------------------------------------------------------------!
[2894]	610	SUBROUTINE wtm_wrd_global
[2576]	611
	612
[2563]	613	IMPLICIT NONE
[2776]	614
[2563]	615
[2894]	616	CALL wrd_write_string( 'omega_gen' )
[2563]	617	WRITE ( 14 ) omega_gen
[2894]	618
	619	CALL wrd_write_string( 'omega_gen_f' )
[2563]	620	WRITE ( 14 ) omega_gen_f
[2894]	621
	622	CALL wrd_write_string( 'omega_gen_f_old' )
[2563]	623	WRITE ( 14 ) omega_gen_f_old
[2894]	624
	625	CALL wrd_write_string( 'omega_gen_old' )
[2563]	626	WRITE ( 14 ) omega_gen_old
[2894]	627
	628	CALL wrd_write_string( 'omega_rot' )
[2563]	629	WRITE ( 14 ) omega_rot
[2894]	630
	631	CALL wrd_write_string( 'phi_yaw' )
	632	WRITE ( 14 ) phi_yaw
	633
	634	CALL wrd_write_string( 'pitch_add' )
[2563]	635	WRITE ( 14 ) pitch_add
[2894]	636
	637	CALL wrd_write_string( 'pitch_add_old' )
[2563]	638	WRITE ( 14 ) pitch_add_old
[2894]	639
	640	CALL wrd_write_string( 'torque_gen' )
[2563]	641	WRITE ( 14 ) torque_gen
[2894]	642
	643	CALL wrd_write_string( 'torque_gen_old' )
[2563]	644	WRITE ( 14 ) torque_gen_old
[2894]	645
[2563]	646
[2894]	647	END SUBROUTINE wtm_wrd_global
[2563]	648
	649
	650	!------------------------------------------------------------------------------!
	651	! Description:
	652	! ------------
	653	!> This routine reads the respective restart data.
	654	!------------------------------------------------------------------------------!
[2894]	655	SUBROUTINE wtm_rrd_global( found )
[2563]	656
	657
[2894]	658	USE control_parameters, &
	659	ONLY: length, restart_string
	660
	661
[2563]	662	IMPLICIT NONE
	663
[2894]	664	LOGICAL, INTENT(OUT) :: found
[2563]	665
	666
[2894]	667	found = .TRUE.
[2563]	668
	669
[2894]	670	SELECT CASE ( restart_string(1:length) )
[2563]	671
[2894]	672	CASE ( 'omega_gen' )
	673	READ ( 13 ) omega_gen
	674	CASE ( 'omega_gen_f' )
	675	READ ( 13 ) omega_gen_f
	676	CASE ( 'omega_gen_f_old' )
	677	READ ( 13 ) omega_gen_f_old
	678	CASE ( 'omega_gen_old' )
	679	READ ( 13 ) omega_gen_old
	680	CASE ( 'omega_rot' )
	681	READ ( 13 ) omega_rot
	682	CASE ( 'phi_yaw' )
	683	READ ( 13 ) phi_yaw
	684	CASE ( 'pitch_add' )
	685	READ ( 13 ) pitch_add
	686	CASE ( 'pitch_add_old' )
	687	READ ( 13 ) pitch_add_old
	688	CASE ( 'torque_gen' )
	689	READ ( 13 ) torque_gen
	690	CASE ( 'torque_gen_old' )
	691	READ ( 13 ) torque_gen_old
[2563]	692
[2894]	693	CASE DEFAULT
[2563]	694
[2894]	695	found = .FALSE.
[2563]	696
[2894]	697	END SELECT
	698
[2563]	699
[2894]	700	END SUBROUTINE wtm_rrd_global
	701
	702
[2563]	703	!------------------------------------------------------------------------------!
	704	! Description:
	705	! ------------
	706	!> Check namelist parameter
	707	!------------------------------------------------------------------------------!
[1912]	708	SUBROUTINE wtm_check_parameters
	709
	710
	711	IMPLICIT NONE
	712
	713	IF ( ( .NOT.speed_control ) .AND. pitch_control ) THEN
	714	message_string = 'pitch_control = .TRUE. requires '// &
	715	'speed_control = .TRUE.'
[2322]	716	CALL message( 'wtm_check_parameters', 'PA0461', 1, 2, 0, 6, 0 )
[1912]	717	ENDIF
	718
[2322]	719	IF ( ANY( omega_rot(1:nturbines) < 0.0 ) ) THEN
	720	message_string = 'omega_rot < 0.0, Please set omega_rot to ' // &
[2792]	721	'a value equal or larger than zero'
[2322]	722	CALL message( 'wtm_check_parameters', 'PA0462', 1, 2, 0, 6, 0 )
[1912]	723	ENDIF
	724
	725
	726	IF ( ANY( rcx(1:nturbines) == 9999999.9_wp ) .OR. &
	727	ANY( rcy(1:nturbines) == 9999999.9_wp ) .OR. &
	728	ANY( rcz(1:nturbines) == 9999999.9_wp ) ) THEN
	729
	730	message_string = 'rcx, rcy, rcz ' // &
	731	'have to be given for each turbine.'
[2322]	732	CALL message( 'wtm_check_parameters', 'PA0463', 1, 2, 0, 6, 0 )
[1912]	733
	734	ENDIF
	735
	736
	737	END SUBROUTINE wtm_check_parameters
	738
	739
[1839]	740	!------------------------------------------------------------------------------!
	741	! Description:
	742	! ------------
	743	!> Allocate wind turbine model arrays
	744	!------------------------------------------------------------------------------!
	745	SUBROUTINE wtm_init_arrays
	746
	747
	748	IMPLICIT NONE
	749
[1864]	750	REAL(wp) :: delta_r_factor !<
	751	REAL(wp) :: delta_r_init !<
	752
[1839]	753	!
	754	!-- To be able to allocate arrays with dimension of rotor rings and segments,
[1819]	755	!-- the maximum possible numbers of rings and segments have to be calculated:
	756
	757	ALLOCATE( nrings(1:nturbines) )
	758	ALLOCATE( delta_r(1:nturbines) )
	759
	760	nrings(:) = 0
	761	delta_r(:) = 0.0_wp
	762
	763	!
	764	!-- Thickness (radial) of each ring and length (tangential) of each segment:
	765	delta_r_factor = segment_width
	766	delta_t_factor = segment_length
[3065]	767	delta_r_init = delta_r_factor * MIN( dx, dy, dz(1))
[1819]	768
	769	DO inot = 1, nturbines
	770	!
	771	!-- Determine number of rings:
	772	nrings(inot) = NINT( rr(inot) / delta_r_init )
	773
	774	delta_r(inot) = rr(inot) / nrings(inot)
	775
	776	ENDDO
	777
	778	nrings_max = MAXVAL(nrings)
	779
	780	ALLOCATE( nsegs(1:nrings_max,1:nturbines) )
	781	ALLOCATE( nsegs_total(1:nturbines) )
	782
	783	nsegs(:,:) = 0
	784	nsegs_total(:) = 0
	785
	786
	787	DO inot = 1, nturbines
	788	DO ring = 1, nrings(inot)
	789	!
	790	!-- Determine number of segments for each ring:
[1839]	791	nsegs(ring,inot) = MAX( 8, CEILING( delta_r_factor * pi * &
	792	( 2.0_wp * ring - 1.0_wp ) / &
	793	delta_t_factor ) )
[1819]	794	ENDDO
	795	!
	796	!-- Total sum of all rotor segments:
[1839]	797	nsegs_total(inot) = SUM( nsegs(:,inot) )
[1819]	798
	799	ENDDO
	800
	801	!
	802	!-- Maximum number of segments per ring:
	803	nsegs_max = MAXVAL(nsegs)
	804
[1864]	805	!!
	806	!!-- TODO: Folgendes im Header ausgeben!
	807	! IF ( myid == 0 ) THEN
	808	! PRINT*, 'nrings(1) = ', nrings(1)
	809	! PRINT*, '--------------------------------------------------'
	810	! PRINT*, 'nsegs(:,1) = ', nsegs(:,1)
	811	! PRINT*, '--------------------------------------------------'
	812	! PRINT*, 'nrings_max = ', nrings_max
	813	! PRINT*, 'nsegs_max = ', nsegs_max
	814	! PRINT*, 'nsegs_total(1) = ', nsegs_total(1)
	815	! ENDIF
[1819]	816
	817
	818	!
	819	!-- Allocate 1D arrays (dimension = number of turbines)
	820	ALLOCATE( i_hub(1:nturbines) )
	821	ALLOCATE( i_smear(1:nturbines) )
	822	ALLOCATE( j_hub(1:nturbines) )
	823	ALLOCATE( j_smear(1:nturbines) )
	824	ALLOCATE( k_hub(1:nturbines) )
	825	ALLOCATE( k_smear(1:nturbines) )
	826	ALLOCATE( torque_total(1:nturbines) )
[1912]	827	ALLOCATE( thrust_rotor(1:nturbines) )
[1819]	828
	829	!
	830	!-- Allocation of the 1D arrays for yaw control
	831	ALLOCATE( yawdir(1:nturbines) )
	832	ALLOCATE( u_inflow(1:nturbines) )
	833	ALLOCATE( wdir(1:nturbines) )
	834	ALLOCATE( u_inflow_l(1:nturbines) )
	835	ALLOCATE( wdir_l(1:nturbines) )
	836	ALLOCATE( phi_yaw_l(1:nturbines) )
	837
	838	!
	839	!-- Allocate 1D arrays (dimension = number of rotor segments)
	840	ALLOCATE( alpha_attack(1:nsegs_max) )
	841	ALLOCATE( chord(1:nsegs_max) )
	842	ALLOCATE( phi_rel(1:nsegs_max) )
	843	ALLOCATE( thrust_seg(1:nsegs_max) )
	844	ALLOCATE( torque_seg_y(1:nsegs_max) )
	845	ALLOCATE( torque_seg_z(1:nsegs_max) )
[1839]	846	ALLOCATE( turb_cd(1:nsegs_max) )
	847	ALLOCATE( turb_cl(1:nsegs_max) )
[1819]	848	ALLOCATE( vrel(1:nsegs_max) )
	849	ALLOCATE( vtheta(1:nsegs_max) )
	850
	851	!
	852	!-- Allocate 2D arrays (dimension = number of rotor rings and segments)
	853	ALLOCATE( rbx(1:nrings_max,1:nsegs_max) )
	854	ALLOCATE( rby(1:nrings_max,1:nsegs_max) )
	855	ALLOCATE( rbz(1:nrings_max,1:nsegs_max) )
	856	ALLOCATE( thrust_ring(1:nrings_max,1:nsegs_max) )
	857	ALLOCATE( torque_ring_y(1:nrings_max,1:nsegs_max) )
	858	ALLOCATE( torque_ring_z(1:nrings_max,1:nsegs_max) )
	859
	860	!
	861	!-- Allocate additional 2D arrays
	862	ALLOCATE( rotx(1:nturbines,1:3) )
	863	ALLOCATE( roty(1:nturbines,1:3) )
	864	ALLOCATE( rotz(1:nturbines,1:3) )
	865
	866	!
	867	!-- Allocate 3D arrays (dimension = number of grid points)
[1912]	868	ALLOCATE( nac_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	869	ALLOCATE( rot_tend_x(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	870	ALLOCATE( rot_tend_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	871	ALLOCATE( rot_tend_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	872	ALLOCATE( thrust(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	873	ALLOCATE( torque_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	874	ALLOCATE( torque_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1912]	875	ALLOCATE( tow_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	876
	877	!
	878	!-- Allocate additional 3D arrays
	879	ALLOCATE( u_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	880	ALLOCATE( u_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	881	ALLOCATE( v_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	882	ALLOCATE( v_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	883	ALLOCATE( w_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	884	ALLOCATE( w_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	885
	886	!
	887	!-- All of the arrays are initialized with a value of zero:
	888	i_hub(:) = 0
	889	i_smear(:) = 0
	890	j_hub(:) = 0
	891	j_smear(:) = 0
	892	k_hub(:) = 0
	893	k_smear(:) = 0
[1912]	894
[1819]	895	torque_total(:) = 0.0_wp
[1912]	896	thrust_rotor(:) = 0.0_wp
[1819]	897
[2563]	898	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	899	omega_gen(:) = 0.0_wp
	900	omega_gen_old(:) = 0.0_wp
	901	omega_gen_f(:) = 0.0_wp
	902	omega_gen_f_old(:) = 0.0_wp
	903	pitch_add_old(:) = 0.0_wp
	904	torque_gen(:) = 0.0_wp
	905	torque_gen_old(:) = 0.0_wp
	906	ENDIF
	907
[1819]	908	yawdir(:) = 0.0_wp
[3069]	909	wdir_l(:) = 0.0_wp
[1819]	910	wdir(:) = 0.0_wp
	911	u_inflow(:) = 0.0_wp
[3069]	912	u_inflow_l(:) = 0.0_wp
	913	phi_yaw_l(:) = 0.0_wp
[1819]	914
	915	!
	916	!-- Allocate 1D arrays (dimension = number of rotor segments)
	917	alpha_attack(:) = 0.0_wp
	918	chord(:) = 0.0_wp
	919	phi_rel(:) = 0.0_wp
	920	thrust_seg(:) = 0.0_wp
	921	torque_seg_y(:) = 0.0_wp
	922	torque_seg_z(:) = 0.0_wp
[1864]	923	turb_cd(:) = 0.0_wp
	924	turb_cl(:) = 0.0_wp
[1819]	925	vrel(:) = 0.0_wp
	926	vtheta(:) = 0.0_wp
	927
	928	rbx(:,:) = 0.0_wp
	929	rby(:,:) = 0.0_wp
	930	rbz(:,:) = 0.0_wp
	931	thrust_ring(:,:) = 0.0_wp
	932	torque_ring_y(:,:) = 0.0_wp
	933	torque_ring_z(:,:) = 0.0_wp
	934
	935	rotx(:,:) = 0.0_wp
	936	roty(:,:) = 0.0_wp
	937	rotz(:,:) = 0.0_wp
	938
[1912]	939	nac_cd_surf(:,:,:) = 0.0_wp
	940	rot_tend_x(:,:,:) = 0.0_wp
	941	rot_tend_y(:,:,:) = 0.0_wp
	942	rot_tend_z(:,:,:) = 0.0_wp
[1819]	943	thrust(:,:,:) = 0.0_wp
	944	torque_y(:,:,:) = 0.0_wp
	945	torque_z(:,:,:) = 0.0_wp
[1912]	946	tow_cd_surf(:,:,:) = 0.0_wp
[1819]	947
	948	u_int(:,:,:) = 0.0_wp
	949	u_int_1_l(:,:,:) = 0.0_wp
	950	v_int(:,:,:) = 0.0_wp
	951	v_int_1_l(:,:,:) = 0.0_wp
	952	w_int(:,:,:) = 0.0_wp
	953	w_int_1_l(:,:,:) = 0.0_wp
	954
	955
[1839]	956	END SUBROUTINE wtm_init_arrays
[1819]	957
	958
	959	!------------------------------------------------------------------------------!
	960	! Description:
	961	! ------------
[1839]	962	!> Initialization of the wind turbine model
[1819]	963	!------------------------------------------------------------------------------!
[1839]	964	SUBROUTINE wtm_init
[1819]	965
[1839]	966
[3065]	967	USE control_parameters, &
	968	ONLY: dz_stretch_level_start
	969
[1819]	970	IMPLICIT NONE
	971
	972	INTEGER(iwp) :: i !< running index
	973	INTEGER(iwp) :: j !< running index
	974	INTEGER(iwp) :: k !< running index
[1864]	975
[1819]	976	!
[1864]	977	!-- Help variables for the smearing function
	978	REAL(wp) :: eps_kernel !<
	979
[1839]	980	!
[1864]	981	!-- Help variables for calculation of the tower drag
	982	INTEGER(iwp) :: tower_n !<
	983	INTEGER(iwp) :: tower_s !<
	984
	985	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: circle_points !<
	986
	987	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacb !<
	988	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacl !<
	989	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacr !<
	990	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nact !<
	991
[3885]	992	IF ( debug_output ) CALL debug_message( 'wtm_init', 'start' )
[3685]	993
[1864]	994	ALLOCATE( index_nacb(1:nturbines) )
	995	ALLOCATE( index_nacl(1:nturbines) )
	996	ALLOCATE( index_nacr(1:nturbines) )
	997	ALLOCATE( index_nact(1:nturbines) )
[1819]	998
[1839]	999	!
[1819]	1000	!------------------------------------------------------------------------------!
[1839]	1001	!-- Calculation of parameters for the regularization kernel
	1002	!-- (smearing of the forces)
[1819]	1003	!------------------------------------------------------------------------------!
	1004	!
[1839]	1005	!-- In the following, some of the required parameters for the smearing will
	1006	!-- be calculated:
[1819]	1007
[1839]	1008	!-- The kernel is set equal to twice the grid spacing which has turned out to
	1009	!-- be a reasonable value (see e.g. Troldborg et al. (2013), Wind Energy,
[1819]	1010	!-- DOI: 10.1002/we.1608):
	1011	eps_kernel = 2.0_wp * dx
	1012	!
[1839]	1013	!-- The zero point (eps_min) of the polynomial function must be the following
	1014	!-- if the integral of the polynomial function (for values < eps_min) shall
	1015	!-- be equal to the integral of the Gaussian function used before:
	1016	eps_min = ( 105.0_wp / 32.0_wp )*( 1.0_wp / 3.0_wp ) &
	1017	pi*( 1.0_wp / 6.0_wp ) eps_kernel
[1819]	1018	!
[3065]	1019	!-- Stretching (non-uniform grid spacing) is not considered in the wind
	1020	!-- turbine model. Therefore, vertical stretching has to be applied above
	1021	!-- the area where the wtm is active. ABS (...) is required because the
	1022	!-- default value of dz_stretch_level_start is -9999999.9_wp (negative).
[3174]	1023	IF ( ABS( dz_stretch_level_start(1) ) <= MAXVAL(rcz(1:nturbines)) + &
	1024	MAXVAL(rr(1:nturbines)) + &
	1025	eps_min) THEN
[3065]	1026	WRITE( message_string, * ) 'The lowest level where vertical ', &
	1027	'stretching is applied &have to be ', &
[3174]	1028	'greater than ',MAXVAL(rcz(1:nturbines)) +&
	1029	MAXVAL(rr(1:nturbines)) + eps_min
[3066]	1030	CALL message( 'wtm_init', 'PA0484', 1, 2, 0, 6, 0 )
[3065]	1031	ENDIF
	1032	!
[1819]	1033	!-- Square of eps_min:
	1034	eps_min2 = eps_min**2
	1035	!
	1036	!-- Parameters in the polynomial function:
[1864]	1037	pol_a = 1.0_wp / eps_min**4
	1038	pol_b = 2.0_wp / eps_min**2
[1819]	1039	!
[1839]	1040	!-- Normalization factor which is the inverse of the integral of the smearing
	1041	!-- function:
	1042	eps_factor = 105.0_wp / ( 32.0_wp * pi * eps_min**3 )
	1043
[1864]	1044	!-- Change tilt angle to rad:
	1045	tilt = tilt * pi / 180.0_wp
	1046
[1819]	1047	!
[1864]	1048	!-- Change yaw angle to rad:
[2563]	1049	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	1050	phi_yaw(:) = phi_yaw(:) * pi / 180.0_wp
	1051	ENDIF
[1819]	1052
[1864]	1053
[1819]	1054	DO inot = 1, nturbines
	1055	!
[1864]	1056	!-- Rotate the rotor coordinates in case yaw and tilt are defined
	1057	CALL wtm_rotate_rotor( inot )
[1819]	1058
	1059	!
	1060	!-- Determine the indices of the hub height
	1061	i_hub(inot) = INT( rcx(inot) / dx )
	1062	j_hub(inot) = INT( ( rcy(inot) + 0.5_wp * dy ) / dy )
[3065]	1063	k_hub(inot) = INT( ( rcz(inot) + 0.5_wp * dz(1) ) / dz(1) )
[1819]	1064
	1065	!
	1066	!-- Determining the area to which the smearing of the forces is applied.
[1839]	1067	!-- As smearing now is effectively applied only for distances smaller than
	1068	!-- eps_min, the smearing area can be further limited and regarded as a
	1069	!-- function of eps_min:
[1819]	1070	i_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dx )
	1071	j_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dy )
[3065]	1072	k_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dz(1) )
[1864]	1073
[1819]	1074	ENDDO
	1075
	1076	!
[2792]	1077	!-- Call the wtm_init_speed_control subroutine and calculate the local
	1078	!-- omega_rot for the respective processor.
	1079	IF ( speed_control) THEN
	1080
[3875]	1081	CALL wtm_init_speed_control
[2792]	1082
	1083	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
	1084
	1085	DO inot = 1, nturbines
	1086
	1087	IF ( nxl > i_hub(inot) ) THEN
	1088	torque_gen(inot) = 0.0_wp
	1089	omega_gen_f(inot) = 0.0_wp
	1090	omega_rot_l(inot) = 0.0_wp
	1091	ENDIF
	1092
	1093	IF ( nxr < i_hub(inot) ) THEN
	1094	torque_gen(inot) = 0.0_wp
	1095	omega_gen_f(inot) = 0.0_wp
	1096	omega_rot_l(inot) = 0.0_wp
	1097	ENDIF
	1098
	1099	IF ( nys > j_hub(inot) ) THEN
	1100	torque_gen(inot) = 0.0_wp
	1101	omega_gen_f(inot) = 0.0_wp
	1102	omega_rot_l(inot) = 0.0_wp
	1103	ENDIF
	1104
	1105	IF ( nyn < j_hub(inot) ) THEN
	1106	torque_gen(inot) = 0.0_wp
	1107	omega_gen_f(inot) = 0.0_wp
	1108	omega_rot_l(inot) = 0.0_wp
	1109	ENDIF
	1110
	1111	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) THEN
	1112	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) ) THEN
	1113
	1114	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
	1115
	1116	ENDIF
	1117	ENDIF
	1118
	1119	END DO
	1120
	1121	ENDIF
	1122
	1123	ENDIF
	1124
	1125	!
[1819]	1126	!------------------------------------------------------------------------------!
[1839]	1127	!-- Determine the area within each grid cell that overlaps with the area
	1128	!-- of the nacelle and the tower (needed for calculation of the forces)
[1819]	1129	!------------------------------------------------------------------------------!
	1130	!
	1131	!-- Note: so far this is only a 2D version, in that the mean flow is
	1132	!-- perpendicular to the rotor area.
	1133
	1134	!
	1135	!-- Allocation of the array containing information on the intersection points
	1136	!-- between rotor disk and the numerical grid:
	1137	upper_end = ( ny + 1 ) * 10000
	1138
	1139	ALLOCATE( circle_points(1:2,1:upper_end) )
[1839]	1140
	1141	circle_points(:,:) = 0.0_wp
[1819]	1142
[1839]	1143
	1144	DO inot = 1, nturbines ! loop over number of turbines
[1819]	1145	!
[1839]	1146	!-- Determine the grid index (u-grid) that corresponds to the location of
	1147	!-- the rotor center (reduces the amount of calculations in the case that
	1148	!-- the mean flow is perpendicular to the rotor area):
[1819]	1149	i = i_hub(inot)
	1150
	1151	!
[1839]	1152	!-- Determine the left and the right edge of the nacelle (corresponding
	1153	!-- grid point indices):
[1819]	1154	index_nacl(inot) = INT( ( rcy(inot) - rnac(inot) + 0.5_wp * dy ) / dy )
	1155	index_nacr(inot) = INT( ( rcy(inot) + rnac(inot) + 0.5_wp * dy ) / dy )
	1156	!
[1839]	1157	!-- Determine the bottom and the top edge of the nacelle (corresponding
	1158	!-- grid point indices).The grid point index has to be increased by 1, as
	1159	!-- the first level for the u-component (index 0) is situated below the
	1160	!-- surface. All points between z=0 and z=dz/s would already be contained
	1161	!-- in grid box 1.
[3065]	1162	index_nacb(inot) = INT( ( rcz(inot) - rnac(inot) ) / dz(1) ) + 1
	1163	index_nact(inot) = INT( ( rcz(inot) + rnac(inot) ) / dz(1) ) + 1
[1819]	1164
	1165	!
	1166	!-- Determine the indices of the grid boxes containing the left and
[1864]	1167	!-- the right boundaries of the tower:
[1819]	1168	tower_n = ( rcy(inot) + 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	1169	tower_s = ( rcy(inot) - 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	1170
	1171	!
	1172	!-- Determine the fraction of the grid box area overlapping with the tower
[1864]	1173	!-- area and multiply it with the drag of the tower:
[1839]	1174	IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1819]	1175
	1176	DO j = nys, nyn
	1177	!
[1839]	1178	!-- Loop from south to north boundary of tower
	1179	IF ( ( j >= tower_s ) .AND. ( j <= tower_n ) ) THEN
	1180
[1819]	1181	DO k = nzb, nzt
	1182
	1183	IF ( k == k_hub(inot) ) THEN
	1184	IF ( tower_n - tower_s >= 1 ) THEN
[1839]	1185	!
[1819]	1186	!-- leftmost and rightmost grid box:
	1187	IF ( j == tower_s ) THEN
[1912]	1188	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1189	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*& ! extension in z-direction
[1912]	1190	( ( tower_s + 1.0_wp + 0.5_wp ) * dy - &
	1191	( rcy(inot) - 0.5_wp * dtow(inot) ) ) * & ! extension in y-direction
	1192	turb_cd_tower(inot)
[1819]	1193	ELSEIF ( j == tower_n ) THEN
[1912]	1194	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1195	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*& ! extension in z-direction
[1912]	1196	( ( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	1197	( tower_n + 0.5_wp ) * dy ) * & ! extension in y-direction
	1198	turb_cd_tower(inot)
[1819]	1199	!
	1200	!-- grid boxes inbetween
[1912]	1201	!-- (where tow_cd_surf = grid box area):
[1819]	1202	ELSE
[1912]	1203	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1204	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*&
[1912]	1205	dy * turb_cd_tower(inot)
[1819]	1206	ENDIF
	1207	!
	1208	!-- tower lies completely within one grid box:
	1209	ELSE
[3065]	1210	tow_cd_surf(k,j,i) = ( rcz(inot) - ( k_hub(inot) * &
	1211	dz(1) - 0.5_wp * dz(1) ) ) * &
[1912]	1212	dtow(inot) * turb_cd_tower(inot)
[1819]	1213	ENDIF
[1839]	1214	!
	1215	!-- In case that k is smaller than k_hub the following actions
	1216	!-- are carried out:
[1819]	1217	ELSEIF ( k < k_hub(inot) ) THEN
	1218
[1839]	1219	IF ( ( tower_n - tower_s ) >= 1 ) THEN
	1220	!
[1819]	1221	!-- leftmost and rightmost grid box:
	1222	IF ( j == tower_s ) THEN
[3065]	1223	tow_cd_surf(k,j,i) = dz(1) * ( &
[1839]	1224	( tower_s + 1 + 0.5_wp ) * dy - &
	1225	( rcy(inot) - 0.5_wp * dtow(inot) ) &
[1912]	1226	) * turb_cd_tower(inot)
[1819]	1227	ELSEIF ( j == tower_n ) THEN
[3065]	1228	tow_cd_surf(k,j,i) = dz(1) * ( &
[1839]	1229	( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	1230	( tower_n + 0.5_wp ) * dy &
[1912]	1231	) * turb_cd_tower(inot)
[1839]	1232	!
	1233	!-- grid boxes inbetween
[1912]	1234	!-- (where tow_cd_surf = grid box area):
[1819]	1235	ELSE
[3065]	1236	tow_cd_surf(k,j,i) = dz(1) * dy * &
	1237	turb_cd_tower(inot)
[1819]	1238	ENDIF
[1839]	1239	!
[1819]	1240	!-- tower lies completely within one grid box:
	1241	ELSE
[3065]	1242	tow_cd_surf(k,j,i) = dz(1) * dtow(inot) * &
[1912]	1243	turb_cd_tower(inot)
[1839]	1244	ENDIF ! end if larger than grid box
	1245
	1246	ENDIF ! end if k == k_hub
	1247
	1248	ENDDO ! end loop over k
	1249
	1250	ENDIF ! end if inside north and south boundary of tower
	1251
	1252	ENDDO ! end loop over j
	1253
	1254	ENDIF ! end if hub inside domain + ghostpoints
[1819]	1255
[1839]	1256
[1912]	1257	CALL exchange_horiz( tow_cd_surf, nbgp )
[1819]	1258
[1839]	1259	!
[1864]	1260	!-- Calculation of the nacelle area
	1261	!-- CAUTION: Currently disabled due to segmentation faults on the FLOW HPC
	1262	!-- cluster (Oldenburg)
	1263	!!
	1264	!!-- Tabulate the points on the circle that are required in the following for
	1265	!!-- the calculation of the Riemann integral (node points; they are called
	1266	!!-- circle_points in the following):
	1267	!
	1268	! dy_int = dy / 10000.0_wp
	1269	!
	1270	! DO i_ip = 1, upper_end
	1271	! yvalue = dy_int * ( i_ip - 0.5_wp ) + 0.5_wp * dy !<--- segmentation fault
	1272	! sqrt_arg = rnac(inot)2 - ( yvalue - rcy(inot) )2 !<--- segmentation fault
	1273	! IF ( sqrt_arg >= 0.0_wp ) THEN
	1274	!!
	1275	!!-- bottom intersection point
	1276	! circle_points(1,i_ip) = rcz(inot) - SQRT( sqrt_arg )
	1277	!!
	1278	!!-- top intersection point
	1279	! circle_points(2,i_ip) = rcz(inot) + SQRT( sqrt_arg ) !<--- segmentation fault
	1280	! ELSE
	1281	! circle_points(:,i_ip) = -111111 !<--- segmentation fault
	1282	! ENDIF
	1283	! ENDDO
	1284	!
	1285	!
	1286	! DO j = nys, nyn
	1287	!!
	1288	!!-- In case that the grid box is located completely outside the nacelle
	1289	!!-- (y) it can automatically be stated that there is no overlap between
	1290	!!-- the grid box and the nacelle and consequently we can set
[1912]	1291	!!-- nac_cd_surf(:,j,i) = 0.0:
[1864]	1292	! IF ( ( j >= index_nacl(inot) ) .AND. ( j <= index_nacr(inot) ) ) THEN
	1293	! DO k = nzb+1, nzt
	1294	!!
	1295	!!-- In case that the grid box is located completely outside the
	1296	!!-- nacelle (z) it can automatically be stated that there is no
	1297	!!-- overlap between the grid box and the nacelle and consequently
[1912]	1298	!!-- we can set nac_cd_surf(k,j,i) = 0.0:
[1864]	1299	! IF ( ( k >= index_nacb(inot) ) .OR. &
	1300	! ( k <= index_nact(inot) ) ) THEN
	1301	!!
	1302	!!-- For all other cases Riemann integrals are calculated.
	1303	!!-- Here, the points on the circle that have been determined
	1304	!!-- above are used in order to calculate the overlap between the
	1305	!!-- gridbox and the nacelle area (area approached by 10000
	1306	!!-- rectangulars dz_int * dy_int):
	1307	! DO i_ipg = 1, 10000
	1308	! dz_int = dz
	1309	! i_ip = j * 10000 + i_ipg
	1310	!!
	1311	!!-- Determine the vertical extension dz_int of the circle
	1312	!!-- within the current grid box:
	1313	! IF ( ( circle_points(2,i_ip) < zw(k) ) .AND. & !<--- segmentation fault
	1314	! ( circle_points(2,i_ip) >= zw(k-1) ) ) THEN
	1315	! dz_int = dz_int - & !<--- segmentation fault
	1316	! ( zw(k) - circle_points(2,i_ip) )
	1317	! ENDIF
	1318	! IF ( ( circle_points(1,i_ip) <= zw(k) ) .AND. & !<--- segmentation fault
	1319	! ( circle_points(1,i_ip) > zw(k-1) ) ) THEN
	1320	! dz_int = dz_int - &
	1321	! ( circle_points(1,i_ip) - zw(k-1) )
	1322	! ENDIF
	1323	! IF ( zw(k-1) > circle_points(2,i_ip) ) THEN
	1324	! dz_int = 0.0_wp
	1325	! ENDIF
	1326	! IF ( zw(k) < circle_points(1,i_ip) ) THEN
	1327	! dz_int = 0.0_wp
	1328	! ENDIF
	1329	! IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1912]	1330	! nac_cd_surf(k,j,i) = nac_cd_surf(k,j,i) + & !<--- segmentation fault
	1331	! dy_int * dz_int * turb_cd_nacelle(inot)
[1864]	1332	! ENDIF
	1333	! ENDDO
	1334	! ENDIF
	1335	! ENDDO
	1336	! ENDIF
[1819]	1337	!
[1864]	1338	! ENDDO
[1819]	1339	!
[1912]	1340	! CALL exchange_horiz( nac_cd_surf, nbgp ) !<--- segmentation fault
[1819]	1341
[1864]	1342	ENDDO ! end of loop over turbines
[1819]	1343
[3065]	1344	tow_cd_surf = tow_cd_surf / ( dx * dy * dz(1) ) ! Normalize tower drag
	1345	nac_cd_surf = nac_cd_surf / ( dx * dy * dz(1) ) ! Normalize nacelle drag
[1819]	1346
[1912]	1347	CALL wtm_read_blade_tables
[3685]	1348
[3885]	1349	IF ( debug_output ) CALL debug_message( 'wtm_init', 'end' )
[1839]	1350
[1864]	1351	END SUBROUTINE wtm_init
	1352
	1353
[1819]	1354	!------------------------------------------------------------------------------!
[1864]	1355	! Description:
	1356	! ------------
	1357	!> Read in layout of the rotor blade , the lift and drag tables
	1358	!> and the distribution of lift and drag tables along the blade
[1819]	1359	!------------------------------------------------------------------------------!
[1912]	1360	!
	1361	SUBROUTINE wtm_read_blade_tables
[1819]	1362
[1839]	1363
[1864]	1364	IMPLICIT NONE
	1365
	1366	INTEGER(iwp) :: ii !< running index
	1367	INTEGER(iwp) :: jj !< running index
[1843]	1368
[1864]	1369	INTEGER(iwp) :: ierrn !<
	1370
	1371	CHARACTER(200) :: chmess !< Read in string
[1839]	1372
[1864]	1373	INTEGER(iwp) :: dlen !< no. rows of local table
	1374	INTEGER(iwp) :: dlenbl !< no. rows of cd, cl table
	1375	INTEGER(iwp) :: ialpha !< table position of current alpha value
	1376	INTEGER(iwp) :: iialpha !<
	1377	INTEGER(iwp) :: iir !<
	1378	INTEGER(iwp) :: radres !< radial resolution
	1379	INTEGER(iwp) :: t1 !< no. of airfoil
	1380	INTEGER(iwp) :: t2 !< no. of airfoil
	1381	INTEGER(iwp) :: trow !<
	1382	INTEGER(iwp) :: dlenbl_int !< no. rows of interpolated cd, cl tables
[1839]	1383
[1864]	1384	REAL(wp) :: alpha_attack_i !<
	1385	REAL(wp) :: weight_a !<
	1386	REAL(wp) :: weight_b !<
[1839]	1387
[1864]	1388	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint1 !<
	1389	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint2 !<
[1839]	1390
[1864]	1391	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel1 !<
	1392	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel2 !<
	1393	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel1 !<
	1394	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel2 !<
	1395	REAL(wp), DIMENSION(:), ALLOCATABLE :: read_cl_cd !< read in var array
[1839]	1396
[1864]	1397	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack_tab !<
	1398	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad1 !<
	1399	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad2 !<
	1400	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_table !<
	1401	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_table !<
[1839]	1402
[1864]	1403	ALLOCATE ( read_cl_cd(1:2*nairfoils+1) )
[1839]	1404
[1864]	1405	!
	1406	!-- Read in the distribution of lift and drag tables along the blade, the
	1407	!-- layout of the rotor blade and the lift and drag tables:
	1408
[2323]	1409	OPEN ( 90, FILE='WTM_DATA', STATUS='OLD', FORM='FORMATTED', IOSTAT=ierrn )
[1864]	1410
	1411	IF ( ierrn /= 0 ) THEN
	1412	message_string = 'file WTM_DATA does not exist'
[2322]	1413	CALL message( 'wtm_init', 'PA0464', 1, 2, 0, 6, 0 )
[1864]	1414	ENDIF
	1415	!
	1416	!-- Read distribution table:
	1417
	1418	dlen = 0
	1419
[2323]	1420	READ ( 90, '(3/)' )
[1864]	1421
	1422	rloop3: DO
[2323]	1423	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1424	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop3
	1425	dlen = dlen + 1
	1426	ENDDO rloop3
	1427
	1428	ALLOCATE( trad1(1:dlen), trad2(1:dlen), ttoint1(1:dlen), ttoint2(1:dlen))
	1429
	1430	DO jj = 1,dlen+1
[2323]	1431	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1432	ENDDO
	1433
	1434	DO jj = 1,dlen
[2323]	1435	READ ( 90, * ) trad1(jj), trad2(jj), ttoint1(jj), ttoint2(jj)
[1864]	1436	ENDDO
	1437
	1438	!
	1439	!-- Read layout table:
	1440
[1839]	1441	dlen = 0
[1864]	1442
[2323]	1443	READ ( 90, '(3/)')
[1864]	1444
[1843]	1445	rloop1: DO
[2323]	1446	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1447	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop1
	1448	dlen = dlen + 1
[1843]	1449	ENDDO rloop1
[1864]	1450
[1839]	1451	ALLOCATE( lrd(1:dlen), ard(1:dlen), crd(1:dlen) )
[1864]	1452	DO jj = 1, dlen+1
[2323]	1453	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1454	ENDDO
	1455	DO jj = 1, dlen
[2323]	1456	READ ( 90, * ) lrd(jj), ard(jj), crd(jj)
[1839]	1457	ENDDO
[1819]	1458
[1864]	1459	!
	1460	!-- Read tables (turb_cl(alpha),turb_cd(alpha) for the different profiles:
[1819]	1461
[1864]	1462	dlen = 0
	1463
[2323]	1464	READ ( 90, '(3/)' )
[1864]	1465
[1843]	1466	rloop2: DO
[2323]	1467	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1468	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop2
	1469	dlen = dlen + 1
	1470	ENDDO rloop2
	1471
[1912]	1472	ALLOCATE( alpha_attack_tab(1:dlen), turb_cl_table(1:dlen,1:nairfoils), &
[1864]	1473	turb_cd_table(1:dlen,1:nairfoils) )
	1474
	1475	DO jj = 1,dlen+1
[2323]	1476	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1477	ENDDO
	1478
[1839]	1479	DO jj = 1,dlen
[2323]	1480	READ ( 90, * ) read_cl_cd
[1864]	1481	alpha_attack_tab(jj) = read_cl_cd(1)
	1482	DO ii= 1, nairfoils
	1483	turb_cl_table(jj,ii) = read_cl_cd(ii*2)
	1484	turb_cd_table(jj,ii) = read_cl_cd(ii*2+1)
[1819]	1485	ENDDO
[1864]	1486
[1839]	1487	ENDDO
[1864]	1488
	1489	dlenbl = dlen
	1490
[2323]	1491	CLOSE ( 90 )
[1819]	1492
[1864]	1493	!
[2836]	1494	!-- For each possible radial position (resolution: 0.1 m --> 631 values if rr(1)=63m)
	1495	!-- and each possible angle of attack (resolution: 0.1 degrees --> 3601 values!)
[1864]	1496	!-- determine the lift and drag coefficient by interpolating between the
	1497	!-- tabulated values of each table (interpolate to current angle of attack)
	1498	!-- and between the tables (interpolate to current radial position):
[1839]	1499
[2836]	1500	ALLOCATE( turb_cl_sel1(1:dlenbl) )
	1501	ALLOCATE( turb_cl_sel2(1:dlenbl) )
	1502	ALLOCATE( turb_cd_sel1(1:dlenbl) )
	1503	ALLOCATE( turb_cd_sel2(1:dlenbl) )
[1819]	1504
[1864]	1505	radres = INT( rr(1) * 10.0_wp ) + 1_iwp
	1506	dlenbl_int = INT( 360.0_wp / accu_cl_cd_tab ) + 1_iwp
[1839]	1507
[2836]	1508	ALLOCATE( turb_cl_tab(1:dlenbl_int,1:radres) )
	1509	ALLOCATE( turb_cd_tab(1:dlenbl_int,1:radres) )
[1864]	1510
[2836]	1511	DO iir = 1, radres ! loop over radius
[1864]	1512
[2836]	1513	cur_r = ( iir - 1_iwp ) * 0.1_wp
	1514	!
	1515	!-- Find position in table 1
	1516	lct = MINLOC( ABS( trad1 - cur_r ) )
	1517	! lct(1) = lct(1)
[1864]	1518
[2836]	1519	IF ( ( trad1(lct(1)) - cur_r ) .GT. 0.0 ) THEN
	1520	lct(1) = lct(1) - 1
	1521	ENDIF
[1864]	1522
[2836]	1523	trow = lct(1)
	1524	!
	1525	!-- Calculate weights for radius interpolation
	1526	weight_a = ( trad2(trow) - cur_r ) / ( trad2(trow) - trad1(trow) )
	1527	weight_b = ( cur_r - trad1(trow) ) / ( trad2(trow) - trad1(trow) )
	1528	t1 = ttoint1(trow)
	1529	t2 = ttoint2(trow)
[1864]	1530
[2836]	1531	IF ( t1 .EQ. t2 ) THEN ! if both are the same, the weights are NaN
	1532	weight_a = 0.5_wp ! then do interpolate in between same twice
	1533	weight_b = 0.5_wp ! using 0.5 as weight
	1534	ENDIF
	1535
	1536	IF ( t1 == 0 .AND. t2 == 0 ) THEN
	1537	turb_cd_sel1 = 0.0_wp
	1538	turb_cd_sel2 = 0.0_wp
	1539	turb_cl_sel1 = 0.0_wp
	1540	turb_cl_sel2 = 0.0_wp
	1541
[3593]	1542	turb_cd_tab(1,iir) = 0.0_wp ! For -180 degrees (iialpha=1) the values
[2836]	1543	turb_cl_tab(1,iir) = 0.0_wp ! for each radius has to be set
	1544	! explicitly
	1545	ELSE
	1546	turb_cd_sel1 = turb_cd_table(:,t1)
	1547	turb_cd_sel2 = turb_cd_table(:,t2)
	1548	turb_cl_sel1 = turb_cl_table(:,t1)
	1549	turb_cl_sel2 = turb_cl_table(:,t2)
	1550	!
[3593]	1551	!-- For -180 degrees (iialpha=1) the values for each radius has to be set
[2836]	1552	!-- explicitly
	1553	turb_cd_tab(1,iir) = ( weight_a * turb_cd_table(1,t1) + weight_b &
	1554	* turb_cd_table(1,t2) )
	1555	turb_cl_tab(1,iir) = ( weight_a * turb_cl_table(1,t1) + weight_b &
	1556	* turb_cl_table(1,t2) )
	1557	ENDIF
	1558
	1559	DO iialpha = 2, dlenbl_int ! loop over angles
	1560
[1864]	1561	alpha_attack_i = -180.0_wp + REAL( iialpha-1 ) * accu_cl_cd_tab
	1562	ialpha = 1
[2836]	1563
[2152]	1564	DO WHILE ( ( alpha_attack_i > alpha_attack_tab(ialpha) ) .AND. (ialpha <= dlen ) )
[1864]	1565	ialpha = ialpha + 1
	1566	ENDDO
[1819]	1567
[1864]	1568	!
[1912]	1569	!-- Interpolation of lift and drag coefficiencts on fine grid of radius
	1570	!-- segments and angles of attack
[3182]	1571
[1912]	1572	turb_cl_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1573	alpha_attack_i ) / &
[1864]	1574	( alpha_attack_tab(ialpha) - &
	1575	alpha_attack_tab(ialpha-1) ) * &
	1576	( weight_a * turb_cl_sel1(ialpha-1) + &
	1577	weight_b * turb_cl_sel2(ialpha-1) ) +&
	1578	( alpha_attack_i - &
	1579	alpha_attack_tab(ialpha-1) ) / &
	1580	( alpha_attack_tab(ialpha) - &
	1581	alpha_attack_tab(ialpha-1) ) * &
	1582	( weight_a * turb_cl_sel1(ialpha) + &
	1583	weight_b * turb_cl_sel2(ialpha) )
[1912]	1584	turb_cd_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1585	alpha_attack_i ) / &
[1864]	1586	( alpha_attack_tab(ialpha) - &
	1587	alpha_attack_tab(ialpha-1) ) * &
	1588	( weight_a * turb_cd_sel1(ialpha-1) + &
	1589	weight_b * turb_cd_sel2(ialpha-1) ) +&
	1590	( alpha_attack_i - &
	1591	alpha_attack_tab(ialpha-1) ) / &
	1592	( alpha_attack_tab(ialpha) - &
	1593	alpha_attack_tab(ialpha-1) ) * &
	1594	( weight_a * turb_cd_sel1(ialpha) + &
	1595	weight_b * turb_cd_sel2(ialpha) )
[2836]	1596
[1912]	1597	ENDDO ! end loop over angles of attack
[2836]	1598
	1599	ENDDO ! end loop over radius
[1819]	1600
[2836]	1601
[1912]	1602	END SUBROUTINE wtm_read_blade_tables
[1819]	1603
	1604
[1864]	1605	!------------------------------------------------------------------------------!
	1606	! Description:
	1607	! ------------
	1608	!> The projection matrix for the coordinate system of therotor disc in respect
	1609	!> to the yaw and tilt angle of the rotor is calculated
	1610	!------------------------------------------------------------------------------!
	1611	SUBROUTINE wtm_rotate_rotor( inot )
[1819]	1612
[1864]	1613
	1614	IMPLICIT NONE
	1615
	1616	INTEGER(iwp) :: inot
	1617	!
	1618	!-- Calculation of the rotation matrix for the application of the tilt to
	1619	!-- the rotors
	1620	rot_eigen_rad(1) = SIN( phi_yaw(inot) ) ! x-component of the radial eigenvector
	1621	rot_eigen_rad(2) = COS( phi_yaw(inot) ) ! y-component of the radial eigenvector
	1622	rot_eigen_rad(3) = 0.0_wp ! z-component of the radial eigenvector
	1623
	1624	rot_eigen_azi(1) = 0.0_wp ! x-component of the azimuth eigenvector
	1625	rot_eigen_azi(2) = 0.0_wp ! y-component of the azimuth eigenvector
	1626	rot_eigen_azi(3) = 1.0_wp ! z-component of the azimuth eigenvector
	1627
	1628	rot_eigen_nor(1) = COS( phi_yaw(inot) ) ! x-component of the normal eigenvector
	1629	rot_eigen_nor(2) = -SIN( phi_yaw(inot) ) ! y-component of the normal eigenvector
	1630	rot_eigen_nor(3) = 0.0_wp ! z-component of the normal eigenvector
[1839]	1631
[1864]	1632	!
	1633	!-- Calculation of the coordinate transformation matrix to apply a tilt to
	1634	!-- the rotor. If tilt = 0, rot_coord_trans is a unit matrix.
[1819]	1635
[1912]	1636	rot_coord_trans(inot,1,1) = rot_eigen_rad(1)*2 &
[1864]	1637	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1638	rot_coord_trans(inot,1,2) = rot_eigen_rad(1) * rot_eigen_rad(2) * &
	1639	( 1.0_wp - COS( tilt ) ) - &
[1864]	1640	rot_eigen_rad(3) * SIN( tilt )
[1912]	1641	rot_coord_trans(inot,1,3) = rot_eigen_rad(1) * rot_eigen_rad(3) * &
	1642	( 1.0_wp - COS( tilt ) ) + &
[1864]	1643	rot_eigen_rad(2) * SIN( tilt )
[1912]	1644	rot_coord_trans(inot,2,1) = rot_eigen_rad(2) * rot_eigen_rad(1) * &
	1645	( 1.0_wp - COS( tilt ) ) + &
[1864]	1646	rot_eigen_rad(3) * SIN( tilt )
[1912]	1647	rot_coord_trans(inot,2,2) = rot_eigen_rad(2)*2 &
[1864]	1648	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1649	rot_coord_trans(inot,2,3) = rot_eigen_rad(2) * rot_eigen_rad(3) * &
	1650	( 1.0_wp - COS( tilt ) ) - &
[1864]	1651	rot_eigen_rad(1) * SIN( tilt )
[1912]	1652	rot_coord_trans(inot,3,1) = rot_eigen_rad(3) * rot_eigen_rad(1) * &
	1653	( 1.0_wp - COS( tilt ) ) - &
[1864]	1654	rot_eigen_rad(2) * SIN( tilt )
[1912]	1655	rot_coord_trans(inot,3,2) = rot_eigen_rad(3) * rot_eigen_rad(2) * &
	1656	( 1.0_wp - COS( tilt ) ) + &
[1864]	1657	rot_eigen_rad(1) * SIN( tilt )
[1912]	1658	rot_coord_trans(inot,3,3) = rot_eigen_rad(3)*2 &
[1864]	1659	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1839]	1660
[1864]	1661	!
	1662	!-- Vectors for the Transformation of forces from the rotor's spheric
	1663	!-- coordinate system to the cartesian coordinate system
	1664	rotx(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_nor )
	1665	roty(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_rad )
	1666	rotz(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_azi )
	1667
	1668	END SUBROUTINE wtm_rotate_rotor
[1839]	1669
	1670
[1819]	1671	!------------------------------------------------------------------------------!
	1672	! Description:
	1673	! ------------
[1839]	1674	!> Calculation of the forces generated by the wind turbine
[1819]	1675	!------------------------------------------------------------------------------!
	1676	SUBROUTINE wtm_forces
	1677
[1864]	1678
[1819]	1679	IMPLICIT NONE
	1680
[2669]	1681	CHARACTER (LEN=4) :: turbine_id
[1819]	1682
[1839]	1683	INTEGER(iwp) :: i, j, k !< loop indices
	1684	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	1685	INTEGER(iwp) :: iialpha, iir !<
[3241]	1686	INTEGER(iwp) :: rseg !<
	1687	INTEGER(iwp) :: ring !<
[1839]	1688	INTEGER(iwp) :: ii, jj, kk !<
[1912]	1689
[2232]	1690	REAL(wp) :: flag !< flag to mask topography grid points
[1839]	1691	REAL(wp) :: sin_rot, cos_rot !<
	1692	REAL(wp) :: sin_yaw, cos_yaw !<
[1912]	1693
	1694	REAL(wp) :: aa, bb, cc, dd !< interpolation distances
	1695	REAL(wp) :: gg !< interpolation volume var
	1696
	1697	REAL(wp) :: dist_u_3d, dist_v_3d, dist_w_3d !< smearing distances
	1698
	1699
[1839]	1700	!
[1819]	1701	! Variables for pitch control
[3241]	1702	LOGICAL :: pitch_sw = .FALSE.
[1839]	1703
[3241]	1704	INTEGER(iwp), DIMENSION(1) :: lct = 0
	1705	REAL(wp), DIMENSION(1) :: rad_d = 0.0_wp
[2152]	1706
	1707	REAL(wp) :: tl_factor !< factor for tip loss correction
[1819]	1708
	1709
[1864]	1710	CALL cpu_log( log_point_s(61), 'wtm_forces', 'start' )
[1819]	1711
	1712
	1713	IF ( simulated_time >= time_turbine_on ) THEN
	1714
[1864]	1715	!
[1819]	1716	!-- Set forces to zero for each new time step:
	1717	thrust(:,:,:) = 0.0_wp
	1718	torque_y(:,:,:) = 0.0_wp
	1719	torque_z(:,:,:) = 0.0_wp
	1720	torque_total(:) = 0.0_wp
[1912]	1721	rot_tend_x(:,:,:) = 0.0_wp
	1722	rot_tend_y(:,:,:) = 0.0_wp
	1723	rot_tend_z(:,:,:) = 0.0_wp
	1724	thrust_rotor(:) = 0.0_wp
[1819]	1725	!
	1726	!-- Loop over number of turbines:
	1727	DO inot = 1, nturbines
	1728
	1729	cos_yaw = COS(phi_yaw(inot))
	1730	sin_yaw = SIN(phi_yaw(inot))
	1731	!
[1839]	1732	!-- Loop over rings of each turbine:
[3832]	1733
	1734	!$OMP PARALLEL PRIVATE (ring, rseg, thrust_seg, torque_seg_y, torque_seg_z, sin_rot, &
	1735	!$OMP& cos_rot, re, rbx, rby, rbz, ii, jj, kk, aa, bb, cc, dd, gg)
	1736	!$OMP DO
[1819]	1737	DO ring = 1, nrings(inot)
	1738
	1739	thrust_seg(:) = 0.0_wp
	1740	torque_seg_y(:) = 0.0_wp
	1741	torque_seg_z(:) = 0.0_wp
	1742	!
	1743	!-- Determine distance between each ring (center) and the hub:
	1744	cur_r = (ring - 0.5_wp) * delta_r(inot)
	1745
	1746	!
[1839]	1747	!-- Loop over segments of each ring of each turbine:
[1819]	1748	DO rseg = 1, nsegs(ring,inot)
	1749	!
[1864]	1750	!-- !-----------------------------------------------------------!
	1751	!-- !-- Determine coordinates of the ring segments --!
	1752	!-- !-----------------------------------------------------------!
[1819]	1753	!
[1864]	1754	!-- Determine angle of ring segment towards zero degree angle of
	1755	!-- rotor system (at zero degree rotor direction vectors aligned
	1756	!-- with y-axis):
[1819]	1757	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1758	cos_rot = COS( phi_rotor )
	1759	sin_rot = SIN( phi_rotor )
	1760
[1864]	1761	!-- Now the direction vectors can be determined with respect to
	1762	!-- the yaw and tilt angle:
[1819]	1763	re(1) = cos_rot * sin_yaw
[1839]	1764	re(2) = cos_rot * cos_yaw
[1819]	1765	re(3) = sin_rot
	1766
	1767	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1768	!
	1769	!-- Coordinates of the single segments (center points):
	1770	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	1771	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	1772	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	1773
[1864]	1774	!-- !-----------------------------------------------------------!
	1775	!-- !-- Interpolation of the velocity components from the --!
	1776	!-- !-- cartesian grid point to the coordinates of each ring --!
	1777	!-- !-- segment (follows a method used in the particle model) --!
	1778	!-- !-----------------------------------------------------------!
[1819]	1779
	1780	u_int(inot,ring,rseg) = 0.0_wp
	1781	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1782
	1783	v_int(inot,ring,rseg) = 0.0_wp
	1784	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1785
	1786	w_int(inot,ring,rseg) = 0.0_wp
	1787	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1788
	1789	!
	1790	!-- Interpolation of the u-component:
	1791
	1792	ii = rbx(ring,rseg) * ddx
	1793	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[3065]	1794	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	1795	!
[1864]	1796	!-- Interpolate only if all required information is available on
	1797	!-- the current PE:
[1839]	1798	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1799	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1800
[1839]	1801	aa = ( ( ii + 1 ) * dx - rbx(ring,rseg) ) * &
	1802	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1803	bb = ( rbx(ring,rseg) - ii * dx ) * &
	1804	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1805	cc = ( ( ii+1 ) * dx - rbx(ring,rseg) ) * &
	1806	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1807	dd = ( rbx(ring,rseg) - ii * dx ) * &
	1808	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1809	gg = dx * dy
	1810
[1864]	1811	u_int_l = ( aa * u(kk,jj,ii) + &
	1812	bb * u(kk,jj,ii+1) + &
	1813	cc * u(kk,jj+1,ii) + &
	1814	dd * u(kk,jj+1,ii+1) &
[1819]	1815	) / gg
	1816
[1864]	1817	u_int_u = ( aa * u(kk+1,jj,ii) + &
	1818	bb * u(kk+1,jj,ii+1) + &
	1819	cc * u(kk+1,jj+1,ii) + &
	1820	dd * u(kk+1,jj+1,ii+1) &
[1819]	1821	) / gg
	1822
[1864]	1823	u_int_1_l(inot,ring,rseg) = u_int_l + &
[3065]	1824	( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
[1819]	1825	( u_int_u - u_int_l )
	1826
	1827	ELSE
	1828	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1829	ENDIF
	1830	ELSE
	1831	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1832	ENDIF
	1833
	1834
	1835	!
	1836	!-- Interpolation of the v-component:
	1837	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
[1839]	1838	jj = rby(ring,rseg) * ddy
[3065]	1839	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	1840	!
[1864]	1841	!-- Interpolate only if all required information is available on
	1842	!-- the current PE:
[1839]	1843	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1844	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1845
[1839]	1846	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1847	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1848	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1849	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1850	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1851	( rby(ring,rseg) - jj * dy )
	1852	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1853	( rby(ring,rseg) - jj * dy )
[1819]	1854	gg = dx * dy
	1855
[1864]	1856	v_int_l = ( aa * v(kk,jj,ii) + &
	1857	bb * v(kk,jj,ii+1) + &
	1858	cc * v(kk,jj+1,ii) + &
	1859	dd * v(kk,jj+1,ii+1) &
[1819]	1860	) / gg
	1861
[1864]	1862	v_int_u = ( aa * v(kk+1,jj,ii) + &
	1863	bb * v(kk+1,jj,ii+1) + &
	1864	cc * v(kk+1,jj+1,ii) + &
	1865	dd * v(kk+1,jj+1,ii+1) &
[1819]	1866	) / gg
	1867
[1864]	1868	v_int_1_l(inot,ring,rseg) = v_int_l + &
[3065]	1869	( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
[1819]	1870	( v_int_u - v_int_l )
	1871
	1872	ELSE
	1873	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1874	ENDIF
	1875	ELSE
	1876	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1877	ENDIF
	1878
	1879
	1880	!
	1881	!-- Interpolation of the w-component:
	1882	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
	1883	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[3065]	1884	kk = rbz(ring,rseg) / dz(1)
[1819]	1885	!
[1864]	1886	!-- Interpolate only if all required information is available on
	1887	!-- the current PE:
[1839]	1888	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1889	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1890
[1839]	1891	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1892	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1893	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1894	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1895	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1896	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1897	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1898	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1899	gg = dx * dy
	1900
[1864]	1901	w_int_l = ( aa * w(kk,jj,ii) + &
	1902	bb * w(kk,jj,ii+1) + &
	1903	cc * w(kk,jj+1,ii) + &
	1904	dd * w(kk,jj+1,ii+1) &
[1819]	1905	) / gg
	1906
[1864]	1907	w_int_u = ( aa * w(kk+1,jj,ii) + &
	1908	bb * w(kk+1,jj,ii+1) + &
	1909	cc * w(kk+1,jj+1,ii) + &
	1910	dd * w(kk+1,jj+1,ii+1) &
[1819]	1911	) / gg
	1912
[1864]	1913	w_int_1_l(inot,ring,rseg) = w_int_l + &
[3065]	1914	( rbz(ring,rseg) - zw(kk) ) / dz(1) * &
[1819]	1915	( w_int_u - w_int_l )
	1916	ELSE
	1917	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1918	ENDIF
	1919	ELSE
	1920	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1921	ENDIF
	1922
	1923	ENDDO
	1924	ENDDO
[3832]	1925	!$OMP END PARALLEL
[1819]	1926
	1927	ENDDO
	1928
	1929	!
	1930	!-- Exchange between PEs (information required on each PE):
	1931	#if defined( __parallel )
[1839]	1932	CALL MPI_ALLREDUCE( u_int_1_l, u_int, nturbines * MAXVAL(nrings) * &
	1933	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1934	CALL MPI_ALLREDUCE( v_int_1_l, v_int, nturbines * MAXVAL(nrings) * &
	1935	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1936	CALL MPI_ALLREDUCE( w_int_1_l, w_int, nturbines * MAXVAL(nrings) * &
	1937	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
[1819]	1938	#else
	1939	u_int = u_int_1_l
	1940	v_int = v_int_1_l
	1941	w_int = w_int_1_l
	1942	#endif
	1943
	1944
	1945	!
	1946	!-- Loop over number of turbines:
[1912]	1947
[1819]	1948	DO inot = 1, nturbines
[1912]	1949	pit_loop: DO
[1819]	1950
[1912]	1951	IF ( pitch_sw ) THEN
[1839]	1952	torque_total(inot) = 0.0_wp
[1912]	1953	thrust_rotor(inot) = 0.0_wp
	1954	pitch_add(inot) = pitch_add(inot) + 0.25_wp
	1955	! IF ( myid == 0 ) PRINT*, 'Pitch', inot, pitch_add(inot)
	1956	ELSE
	1957	cos_yaw = COS(phi_yaw(inot))
	1958	sin_yaw = SIN(phi_yaw(inot))
	1959	IF ( pitch_control ) THEN
	1960	pitch_add(inot) = MAX(pitch_add_old(inot) - pitch_rate * &
	1961	dt_3d , 0.0_wp )
	1962	ENDIF
[1819]	1963	ENDIF
	1964
[1839]	1965	!
	1966	!-- Loop over rings of each turbine:
[3832]	1967	!$OMP PARALLEL PRIVATE (ring, rseg, sin_rot, cos_rot, re, rea, ren, rote, rota, rotn, &
	1968	!$OMP& vtheta, phi_rel, lct, rad_d, alpha_attack, vrel, &
	1969	!$OMP& chord, iialpha, iir, turb_cl, tl_factor, thrust_seg, &
	1970	!$OMP& torque_seg_y, turb_cd, torque_seg_z, thrust_ring, &
	1971	!$OMP& torque_ring_y, torque_ring_z)
	1972	!$OMP DO
[1819]	1973	DO ring = 1, nrings(inot)
	1974	!
	1975	!-- Determine distance between each ring (center) and the hub:
	1976	cur_r = (ring - 0.5_wp) * delta_r(inot)
[1839]	1977	!
	1978	!-- Loop over segments of each ring of each turbine:
[1819]	1979	DO rseg = 1, nsegs(ring,inot)
	1980	!
[1839]	1981	!-- Determine angle of ring segment towards zero degree angle of
	1982	!-- rotor system (at zero degree rotor direction vectors aligned
	1983	!-- with y-axis):
[1819]	1984	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1985	cos_rot = COS(phi_rotor)
	1986	sin_rot = SIN(phi_rotor)
	1987	!
[1839]	1988	!-- Now the direction vectors can be determined with respect to
	1989	!-- the yaw and tilt angle:
[1819]	1990	re(1) = cos_rot * sin_yaw
	1991	re(2) = cos_rot * cos_yaw
	1992	re(3) = sin_rot
	1993
[1864]	1994	! The current unit vector in azimuthal direction:
[1819]	1995	rea(1) = - sin_rot * sin_yaw
	1996	rea(2) = - sin_rot * cos_yaw
	1997	rea(3) = cos_rot
	1998
	1999	!
[1864]	2000	!-- To respect the yawing angle for the calculations of
	2001	!-- velocities and forces the unit vectors perpendicular to the
	2002	!-- rotor area in direction of the positive yaw angle are defined:
[1819]	2003	ren(1) = cos_yaw
	2004	ren(2) = - sin_yaw
	2005	ren(3) = 0.0_wp
	2006	!
	2007	!-- Multiplication with the coordinate transformation matrix
[1864]	2008	!-- gives the final unit vector with consideration of the rotor
	2009	!-- tilt:
[1819]	2010	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	2011	rota = MATMUL( rot_coord_trans(inot,:,:), rea )
	2012	rotn = MATMUL( rot_coord_trans(inot,:,:), ren )
	2013	!
	2014	!-- Coordinates of the single segments (center points):
	2015	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	2016
	2017	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	2018
	2019	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	2020
	2021	!
[1864]	2022	!-- !-----------------------------------------------------------!
	2023	!-- !-- Calculation of various angles and relative velocities --!
	2024	!-- !-----------------------------------------------------------!
[1819]	2025	!
[1864]	2026	!-- In the following the 3D-velocity field is projected its
[2553]	2027	!-- components perpendicular and parallel to the rotor area
[1819]	2028	!-- The calculation of forces will be done in the rotor-
	2029	!-- coordinates y' and z.
	2030	!-- The yaw angle will be reintroduced when the force is applied
	2031	!-- on the hydrodynamic equations
[1864]	2032	!
	2033	!-- Projection of the xy-velocities relative to the rotor area
	2034	!
[1819]	2035	!-- Velocity perpendicular to the rotor area:
[1864]	2036	u_rot = u_int(inot,ring,rseg)*rotn(1) + &
	2037	v_int(inot,ring,rseg)*rotn(2) + &
[1819]	2038	w_int(inot,ring,rseg)*rotn(3)
	2039	!
[1864]	2040	!-- Projection of the 3D-velocity vector in the azimuthal
	2041	!-- direction:
	2042	vtheta(rseg) = rota(1) * u_int(inot,ring,rseg) + &
	2043	rota(2) * v_int(inot,ring,rseg) + &
[1819]	2044	rota(3) * w_int(inot,ring,rseg)
	2045	!
[1864]	2046	!-- Determination of the angle phi_rel between the rotor plane
	2047	!-- and the direction of the flow relative to the rotor:
[1819]	2048
[1864]	2049	phi_rel(rseg) = ATAN( u_rot / &
	2050	( omega_rot(inot) * cur_r - &
[1819]	2051	vtheta(rseg) ) )
	2052
	2053	!
[1864]	2054	!-- Interpolation of the local pitch angle from tabulated values
	2055	!-- to the current radial position:
[1819]	2056
	2057	lct=minloc(ABS(cur_r-lrd))
	2058	rad_d=cur_r-lrd(lct)
	2059
	2060	IF (cur_r == 0.0_wp) THEN
	2061	alpha_attack(rseg) = 0.0_wp
	2062	ELSE IF (cur_r >= lrd(size(ard))) THEN
[1864]	2063	alpha_attack(rseg) = ( ard(size(ard)) + &
	2064	ard(size(ard)-1) ) / 2.0_wp
[1819]	2065	ELSE
[1864]	2066	alpha_attack(rseg) = ( ard(lct(1)) * &
	2067	( ( lrd(lct(1)+1) - cur_r ) / &
	2068	( lrd(lct(1)+1) - lrd(lct(1)) ) &
	2069	) ) + ( ard(lct(1)+1) * &
	2070	( ( cur_r - lrd(lct(1)) ) / &
	2071	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2072	ENDIF
	2073
	2074	!
[1864]	2075	!-- In Fortran radian instead of degree is used as unit for all
	2076	!-- angles. Therefore, a transformation from angles given in
	2077	!-- degree to angles given in radian is necessary here:
	2078	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2079	( (2.0_wp*pi) / 360.0_wp )
	2080	!
[1864]	2081	!-- Substraction of the local pitch angle to obtain the local
	2082	!-- angle of attack:
[1819]	2083	alpha_attack(rseg) = phi_rel(rseg) - alpha_attack(rseg)
	2084	!
[1864]	2085	!-- Preliminary transformation back from angles given in radian
	2086	!-- to angles given in degree:
	2087	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2088	( 360.0_wp / (2.0_wp*pi) )
	2089	!
[1864]	2090	!-- Correct with collective pitch angle:
[3139]	2091	alpha_attack(rseg) = alpha_attack(rseg) - pitch_add(inot)
[1819]	2092
	2093	!
[1864]	2094	!-- Determination of the magnitude of the flow velocity relative
	2095	!-- to the rotor:
[1912]	2096	vrel(rseg) = SQRT( u_rot**2 + &
	2097	( omega_rot(inot) * cur_r - &
[1819]	2098	vtheta(rseg) )**2 )
	2099
	2100	!
[1864]	2101	!-- !-----------------------------------------------------------!
	2102	!-- !-- Interpolation of chord as well as lift and drag --!
	2103	!-- !-- coefficients from tabulated values --!
	2104	!-- !-----------------------------------------------------------!
[1819]	2105
	2106	!
[1864]	2107	!-- Interpolation of the chord_length from tabulated values to
	2108	!-- the current radial position:
[1819]	2109
	2110	IF (cur_r == 0.0_wp) THEN
	2111	chord(rseg) = 0.0_wp
	2112	ELSE IF (cur_r >= lrd(size(crd))) THEN
[1864]	2113	chord(rseg) = (crd(size(crd)) + ard(size(crd)-1)) / 2.0_wp
[1819]	2114	ELSE
[1864]	2115	chord(rseg) = ( crd(lct(1)) * &
	2116	( ( lrd(lct(1)+1) - cur_r ) / &
	2117	( lrd(lct(1)+1) - lrd(lct(1)) ) ) ) + &
	2118	( crd(lct(1)+1) * &
	2119	( ( cur_r-lrd(lct(1)) ) / &
	2120	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2121	ENDIF
	2122
	2123	!
	2124	!-- Determine index of current angle of attack, needed for
[1864]	2125	!-- finding the appropriate interpolated values of the lift and
[2836]	2126	!-- drag coefficients (-180.0 degrees = 1, +180.0 degrees = 3601,
	2127	!-- so one index every 0.1 degrees):
[1864]	2128	iialpha = CEILING( ( alpha_attack(rseg) + 180.0_wp ) &
[2836]	2129	* ( 1.0_wp / accu_cl_cd_tab ) ) + 1.0_wp
[1819]	2130	!
	2131	!-- Determine index of current radial position, needed for
[1864]	2132	!-- finding the appropriate interpolated values of the lift and
	2133	!-- drag coefficients (one index every 0.1 m):
[1819]	2134	iir = CEILING( cur_r * 10.0_wp )
	2135	!
[1864]	2136	!-- Read in interpolated values of the lift and drag coefficients
	2137	!-- for the current radial position and angle of attack:
[1839]	2138	turb_cl(rseg) = turb_cl_tab(iialpha,iir)
	2139	turb_cd(rseg) = turb_cd_tab(iialpha,iir)
[1819]	2140
	2141	!
[1864]	2142	!-- Final transformation back from angles given in degree to
	2143	!-- angles given in radian:
	2144	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2145	( (2.0_wp*pi) / 360.0_wp )
	2146
[2152]	2147	IF ( tl_cor ) THEN
	2148
	2149	!-- Tip loss correction following Schito
	2150	!-- Schito applies the tip loss correction only to the lift force
	2151	!-- Therefore, the tip loss correction is only applied to the lift
	2152	!-- coefficient and not to the drag coefficient in our case
	2153	!--
	2154	tl_factor = ( 2.0 / pi ) * &
	2155	ACOS( EXP( -1.0 * ( 3.0 * ( rr(inot) - cur_r ) / &
	2156	( 2.0 * cur_r * abs( sin( phi_rel(rseg) ) ) ) ) ) )
	2157
	2158	turb_cl(rseg) = tl_factor * turb_cl(rseg)
	2159
[2894]	2160	ENDIF
[1819]	2161	!
	2162	!-- !-----------------------------------------------------!
	2163	!-- !-- Calculation of the forces --!
	2164	!-- !-----------------------------------------------------!
	2165
	2166	!
[1864]	2167	!-- Calculate the pre_factor for the thrust and torque forces:
[1819]	2168
	2169	pre_factor = 0.5_wp * (vrel(rseg)*2) 3.0_wp * &
	2170	chord(rseg) * delta_r(inot) / nsegs(ring,inot)
	2171
	2172	!
[1864]	2173	!-- Calculate the thrust force (x-component of the total force)
	2174	!-- for each ring segment:
	2175	thrust_seg(rseg) = pre_factor * &
	2176	( turb_cl(rseg) * COS(phi_rel(rseg)) + &
	2177	turb_cd(rseg) * SIN(phi_rel(rseg)) )
[1819]	2178
	2179	!
[1864]	2180	!-- Determination of the second of the additional forces acting
	2181	!-- on the flow in the azimuthal direction: force vector as basis
	2182	!-- for torque (torque itself would be the vector product of the
	2183	!-- radius vector and the force vector):
	2184	torque_seg = pre_factor * &
	2185	( turb_cl(rseg) * SIN(phi_rel(rseg)) - &
[1839]	2186	turb_cd(rseg) * COS(phi_rel(rseg)) )
[1819]	2187	!
	2188	!-- Decomposition of the force vector into two parts:
[1864]	2189	!-- One acting along the y-direction and one acting along the
	2190	!-- z-direction of the rotor coordinate system:
[1819]	2191
	2192	torque_seg_y(rseg) = -torque_seg * sin_rot
	2193	torque_seg_z(rseg) = torque_seg * cos_rot
	2194
[1912]	2195	!
	2196	!-- Add the segment thrust to the thrust of the whole rotor
[3832]	2197	!$OMP CRITICAL
[1912]	2198	thrust_rotor(inot) = thrust_rotor(inot) + &
	2199	thrust_seg(rseg)
	2200
	2201
[1819]	2202	torque_total(inot) = torque_total(inot) + (torque_seg * cur_r)
[3832]	2203	!$OMP END CRITICAL
[1819]	2204
[1864]	2205	ENDDO !-- end of loop over ring segments
[1819]	2206
	2207	!
[1864]	2208	!-- Restore the forces into arrays containing all the segments of
	2209	!-- each ring:
[1819]	2210	thrust_ring(ring,:) = thrust_seg(:)
	2211	torque_ring_y(ring,:) = torque_seg_y(:)
	2212	torque_ring_z(ring,:) = torque_seg_z(:)
	2213
	2214
[1864]	2215	ENDDO !-- end of loop over rings
[3832]	2216	!$OMP END PARALLEL
[1819]	2217
	2218
[1864]	2219	CALL cpu_log( log_point_s(62), 'wtm_controller', 'start' )
[1819]	2220
[1912]	2221
	2222	IF ( speed_control ) THEN
	2223	!
	2224	!-- Calculation of the current generator speed for rotor speed control
	2225
	2226	!
	2227	!-- The acceleration of the rotor speed is calculated from
	2228	!-- the force balance of the accelerating torque
	2229	!-- and the torque of the rotating rotor and generator
	2230	om_rate = ( torque_total(inot) * air_dens * gear_eff - &
	2231	gear_ratio * torque_gen_old(inot) ) / &
	2232	( inertia_rot + &
	2233	gear_ratio * gear_ratio * inertia_gen ) * dt_3d
[1819]	2234
[1912]	2235	!
	2236	!-- The generator speed is given by the product of gear gear_ratio
	2237	!-- and rotor speed
	2238	omega_gen(inot) = gear_ratio * ( omega_rot(inot) + om_rate )
	2239
	2240	ENDIF
	2241
[1864]	2242	IF ( pitch_control ) THEN
[1819]	2243
[1912]	2244	!
	2245	!-- If the current generator speed is above rated, the pitch is not
	2246	!-- saturated and the change from the last time step is within the
	2247	!-- maximum pitch rate, then the pitch loop is repeated with a pitch
	2248	!-- gain
	2249	IF ( ( omega_gen(inot) > rated_genspeed ) .AND. &
	2250	( pitch_add(inot) < 25.0_wp ) .AND. &
	2251	( pitch_add(inot) < pitch_add_old(inot) + &
	2252	pitch_rate * dt_3d ) ) THEN
[1864]	2253	pitch_sw = .TRUE.
[1912]	2254	!
	2255	!-- Go back to beginning of pit_loop
	2256	CYCLE pit_loop
[1819]	2257	ENDIF
[1912]	2258
	2259	!
	2260	!-- The current pitch is saved for the next time step
	2261	pitch_add_old(inot) = pitch_add(inot)
[1864]	2262	pitch_sw = .FALSE.
[1819]	2263	ENDIF
[1912]	2264	EXIT pit_loop
	2265	ENDDO pit_loop ! Recursive pitch control loop
[1819]	2266
[1864]	2267
[1819]	2268	!
[1864]	2269	!-- Call the rotor speed controller
	2270
[1819]	2271	IF ( speed_control ) THEN
	2272	!
[1864]	2273	!-- Find processor at i_hub, j_hub
[1912]	2274	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2275	THEN
	2276	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2277	THEN
[1864]	2278	CALL wtm_speed_control( inot )
	2279	ENDIF
[1912]	2280	ENDIF
[1864]	2281
[1819]	2282	ENDIF
	2283
	2284
[1864]	2285	CALL cpu_log( log_point_s(62), 'wtm_controller', 'stop' )
[1819]	2286
[1864]	2287	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'start' )
[1819]	2288
	2289
[1864]	2290	!-- !-----------------------------------------------------------------!
	2291	!-- !-- Regularization kernel --!
	2292	!-- !-- Smearing of the forces and interpolation to cartesian grid --!
	2293	!-- !-----------------------------------------------------------------!
[1819]	2294	!
[1864]	2295	!-- The aerodynamic blade forces need to be distributed smoothly on
	2296	!-- several mesh points in order to avoid singular behaviour
[1819]	2297	!
	2298	!-- Summation over sum of weighted forces. The weighting factor
[1864]	2299	!-- (calculated in user_init) includes information on the distance
	2300	!-- between the center of the grid cell and the rotor segment under
	2301	!-- consideration
[1819]	2302	!
[1864]	2303	!-- To save computing time, apply smearing only for the relevant part
	2304	!-- of the model domain:
[1819]	2305	!
	2306	!--
	2307	!-- Calculation of the boundaries:
[1864]	2308	i_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,1) ) + &
	2309	eps_min ) / dx )
	2310	j_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,2) ) + &
	2311	eps_min ) / dy )
[1819]	2312
[3832]	2313	!$OMP PARALLEL PRIVATE (i, j, k, ring, rseg, flag, dist_u_3d, dist_v_3d, dist_w_3d)
	2314	!$OMP DO
[1864]	2315	DO i = MAX( nxl, i_hub(inot) - i_smear(inot) ), &
[1819]	2316	MIN( nxr, i_hub(inot) + i_smear(inot) )
[1864]	2317	DO j = MAX( nys, j_hub(inot) - j_smear(inot) ), &
[1819]	2318	MIN( nyn, j_hub(inot) + j_smear(inot) )
[2232]	2319	! DO k = MAX( nzb_u_inner(j,i)+1, k_hub(inot) - k_smear(inot) ), &
	2320	! k_hub(inot) + k_smear(inot)
	2321	DO k = nzb+1, k_hub(inot) + k_smear(inot)
[1819]	2322	DO ring = 1, nrings(inot)
	2323	DO rseg = 1, nsegs(ring,inot)
	2324	!
[2232]	2325	!-- Predetermine flag to mask topography
	2326	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 1 ) )
	2327
	2328	!
[1819]	2329	!-- Determine the square of the distance between the
	2330	!-- current grid point and each rotor area segment:
[1864]	2331	dist_u_3d = ( i * dx - rbx(ring,rseg) )**2 + &
	2332	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
[3065]	2333	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1864]	2334	dist_v_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2335	( j * dy - rby(ring,rseg) )**2 + &
[3065]	2336	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1864]	2337	dist_w_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2338	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
[3065]	2339	( k * dz(1) - rbz(ring,rseg) )**2
[1819]	2340
	2341	!
	2342	!-- 3D-smearing of the forces with a polynomial function
	2343	!-- (much faster than the old Gaussian function), using
	2344	!-- some parameters that have been calculated in user_init.
	2345	!-- The function is only similar to Gaussian function for
	2346	!-- squared distances <= eps_min2:
	2347	IF ( dist_u_3d <= eps_min2 ) THEN
[2232]	2348	thrust(k,j,i) = thrust(k,j,i) + &
	2349	thrust_ring(ring,rseg) * &
	2350	( ( pol_a * dist_u_3d - pol_b ) * &
	2351	dist_u_3d + 1.0_wp ) * eps_factor *&
	2352	flag
[1819]	2353	ENDIF
	2354	IF ( dist_v_3d <= eps_min2 ) THEN
[2232]	2355	torque_y(k,j,i) = torque_y(k,j,i) + &
	2356	torque_ring_y(ring,rseg) * &
	2357	( ( pol_a * dist_v_3d - pol_b ) * &
	2358	dist_v_3d + 1.0_wp ) * eps_factor * &
	2359	flag
[1819]	2360	ENDIF
	2361	IF ( dist_w_3d <= eps_min2 ) THEN
[2232]	2362	torque_z(k,j,i) = torque_z(k,j,i) + &
	2363	torque_ring_z(ring,rseg) * &
	2364	( ( pol_a * dist_w_3d - pol_b ) * &
	2365	dist_w_3d + 1.0_wp ) * eps_factor * &
	2366	flag
[1819]	2367	ENDIF
	2368
	2369	ENDDO ! End of loop over rseg
	2370	ENDDO ! End of loop over ring
	2371
	2372	!
	2373	!-- Rotation of force components:
[2232]	2374	rot_tend_x(k,j,i) = rot_tend_x(k,j,i) + ( &
[1864]	2375	thrust(k,j,i)*rotx(inot,1) + &
	2376	torque_y(k,j,i)*roty(inot,1) + &
[2232]	2377	torque_z(k,j,i)*rotz(inot,1) &
	2378	) * flag
[1819]	2379
[2232]	2380	rot_tend_y(k,j,i) = rot_tend_y(k,j,i) + ( &
[1864]	2381	thrust(k,j,i)*rotx(inot,2) + &
	2382	torque_y(k,j,i)*roty(inot,2) + &
[2232]	2383	torque_z(k,j,i)*rotz(inot,2) &
	2384	) * flag
[1819]	2385
[2232]	2386	rot_tend_z(k,j,i) = rot_tend_z(k,j,i) + ( &
[1864]	2387	thrust(k,j,i)*rotx(inot,3) + &
	2388	torque_y(k,j,i)*roty(inot,3) + &
[2232]	2389	torque_z(k,j,i)*rotz(inot,3) &
	2390	) * flag
[1819]	2391
	2392	ENDDO ! End of loop over k
	2393	ENDDO ! End of loop over j
	2394	ENDDO ! End of loop over i
[3832]	2395	!$OMP END PARALLEL
[1819]	2396
[1864]	2397	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'stop' )
[1819]	2398
[1912]	2399	ENDDO !-- end of loop over turbines
[1819]	2400
	2401
	2402	IF ( yaw_control ) THEN
	2403	!
	2404	!-- Allocate arrays for yaw control at first call
	2405	!-- Can't be allocated before dt_3d is set
	2406	IF ( start_up ) THEN
[1864]	2407	WDLON = NINT( 30.0_wp / dt_3d ) ! 30s running mean array
[1819]	2408	ALLOCATE( wd30(1:nturbines,1:WDLON) )
[1912]	2409	wd30 = 999.0_wp ! Set to dummy value
[1819]	2410	ALLOCATE( wd30_l(1:WDLON) )
	2411
[1864]	2412	WDSHO = NINT( 2.0_wp / dt_3d ) ! 2s running mean array
[1819]	2413	ALLOCATE( wd2(1:nturbines,1:WDSHO) )
[1912]	2414	wd2 = 999.0_wp ! Set to dummy value
[1819]	2415	ALLOCATE( wd2_l(1:WDSHO) )
	2416	start_up = .FALSE.
	2417	ENDIF
	2418
	2419	!
	2420	!-- Calculate the inflow wind speed
	2421	!--
	2422	!-- Loop over number of turbines:
	2423	DO inot = 1, nturbines
	2424	!
	2425	!-- Find processor at i_hub, j_hub
[1912]	2426	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2427	THEN
	2428	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2429	THEN
[1864]	2430
[1819]	2431	u_inflow_l(inot) = u(k_hub(inot),j_hub(inot),i_hub(inot))
[1864]	2432
[1912]	2433	wdir_l(inot) = -1.0_wp * ATAN2( &
	2434	0.5_wp * ( v(k_hub(inot),j_hub(inot),i_hub(inot)+1) + &
	2435	v(k_hub(inot),j_hub(inot),i_hub(inot)) ) , &
	2436	0.5_wp * ( u(k_hub(inot),j_hub(inot)+1,i_hub(inot)) + &
	2437	u(k_hub(inot),j_hub(inot),i_hub(inot)) ) )
[1864]	2438
	2439	CALL wtm_yawcontrol( inot )
	2440
[1819]	2441	phi_yaw_l(inot) = phi_yaw(inot)
[2015]	2442
[1819]	2443	ENDIF
	2444	ENDIF
	2445
[1864]	2446	ENDDO !-- end of loop over turbines
	2447
	2448	!
[1929]	2449	!-- Transfer of information to the other cpus
	2450	#if defined( __parallel )
[1864]	2451	CALL MPI_ALLREDUCE( u_inflow_l, u_inflow, nturbines, MPI_REAL, &
	2452	MPI_SUM, comm2d, ierr )
	2453	CALL MPI_ALLREDUCE( wdir_l, wdir, nturbines, MPI_REAL, MPI_SUM, &
	2454	comm2d, ierr )
	2455	CALL MPI_ALLREDUCE( phi_yaw_l, phi_yaw, nturbines, MPI_REAL, &
	2456	MPI_SUM, comm2d, ierr )
[1929]	2457	#else
	2458	u_inflow = u_inflow_l
	2459	wdir = wdir_l
	2460	phi_yaw = phi_yaw_l
[2015]	2461
	2462
[1929]	2463	#endif
[1819]	2464	DO inot = 1, nturbines
[1864]	2465	!
	2466	!-- Update rotor orientation
	2467	CALL wtm_rotate_rotor( inot )
[1819]	2468
	2469	ENDDO ! End of loop over turbines
	2470
[2894]	2471	ENDIF ! end of yaw control
[1864]	2472
	2473	IF ( speed_control ) THEN
	2474	!
	2475	!-- Transfer of information to the other cpus
[1912]	2476	! CALL MPI_ALLREDUCE( omega_gen, omega_gen_old, nturbines, &
	2477	! MPI_REAL,MPI_SUM, comm2d, ierr )
[1929]	2478	#if defined( __parallel )
[1864]	2479	CALL MPI_ALLREDUCE( torque_gen, torque_gen_old, nturbines, &
	2480	MPI_REAL, MPI_SUM, comm2d, ierr )
	2481	CALL MPI_ALLREDUCE( omega_rot_l, omega_rot, nturbines, &
	2482	MPI_REAL, MPI_SUM, comm2d, ierr )
[1912]	2483	CALL MPI_ALLREDUCE( omega_gen_f, omega_gen_f_old, nturbines, &
	2484	MPI_REAL, MPI_SUM, comm2d, ierr )
[1929]	2485	#else
	2486	torque_gen_old = torque_gen
	2487	omega_rot = omega_rot_l
	2488	omega_gen_f_old = omega_gen_f
	2489	#endif
[1864]	2490
	2491	ENDIF
[1819]	2492
	2493	DO inot = 1, nturbines
	2494
	2495	IF ( myid == 0 ) THEN
	2496	IF ( openfile_turb_mod(400+inot)%opened ) THEN
	2497	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2498	omega_gen(inot), torque_gen_old(inot), &
[1864]	2499	torque_total(inot), pitch_add(inot), &
[1912]	2500	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2501	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2502	thrust_rotor(inot), &
[1864]	2503	wdir(inot)*180.0_wp/pi, &
	2504	(phi_yaw(inot))*180.0_wp/pi
[1912]	2505
[1819]	2506	ELSE
	2507
[2669]	2508	WRITE ( turbine_id,'(A2,I2.2)') '_T', inot
	2509	OPEN ( 400+inot, FILE=( 'WTM_OUTPUT_DATA' // &
	2510	TRIM( coupling_char ) // &
	2511	turbine_id ), FORM='FORMATTED' )
[1819]	2512	WRITE ( 400+inot, 105 ) inot
	2513	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2514	omega_gen(inot), torque_gen_old(inot), &
[1864]	2515	torque_total(inot), pitch_add(inot), &
[1912]	2516	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2517	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2518	thrust_rotor(inot), &
[1864]	2519	wdir(inot)*180.0_wp/pi, &
	2520	(phi_yaw(inot))*180.0_wp/pi
[1819]	2521	ENDIF
	2522	ENDIF
	2523
[1912]	2524	!-- Set open flag
[1819]	2525	openfile_turb_mod(400+inot)%opened = .TRUE.
[1864]	2526	ENDDO !-- end of loop over turbines
[1819]	2527
	2528	ENDIF
	2529
[1864]	2530	CALL cpu_log( log_point_s(61), 'wtm_forces', 'stop' )
[1819]	2531
[1912]	2532	!
	2533	!-- Formats
[1819]	2534	105 FORMAT ('Turbine control data for turbine ',I2,1X,':'/ &
	2535	&'----------------------------------------'/ &
	2536	&' Time RSpeed GSpeed ', &
[1912]	2537	'GenTorque AeroTorque Pitch Power(Gen) Power(Rot) ', &
	2538	'RotThrust WDirection YawOrient')
[1819]	2539
[1864]	2540	106 FORMAT (F9.3,2X,F7.3,2X,F7.2,2X,F9.1,3X,F9.1,1X,F6.2,2X,F10.1,2X, &
	2541	F10.1,1X,F9.1,2X,F7.2,1X,F7.2)
[1819]	2542
	2543
	2544	END SUBROUTINE wtm_forces
	2545
	2546
[1839]	2547	!------------------------------------------------------------------------------!
	2548	! Description:
	2549	! ------------
	2550	!> Yaw controller for the wind turbine model
	2551	!------------------------------------------------------------------------------!
	2552	SUBROUTINE wtm_yawcontrol( inot )
	2553
[1819]	2554	USE kinds
[1839]	2555
	2556	IMPLICIT NONE
[1819]	2557
	2558	INTEGER(iwp) :: inot
	2559	INTEGER(iwp) :: i_wd_30
	2560	REAL(wp) :: missal
	2561
	2562	i_wd_30 = 0_iwp
	2563
	2564	!
[1864]	2565	!-- The yaw controller computes a 30s running mean of the wind direction.
	2566	!-- If the difference between turbine alignment and wind direction exceeds
[3593]	2567	!-- 5 degrees, the turbine is yawed. The mechanism stops as soon as the 2s-running
	2568	!-- mean of the missalignment is smaller than 0.5 degrees.
[1864]	2569	!-- Attention: If the timestep during the simulation changes significantly
	2570	!-- the lengths of the running means change and it does not correspond to
	2571	!-- 30s/2s anymore.
	2572	!-- ! Needs to be modified for these situations !
	2573	!-- For wind from the east, the averaging of the wind direction could cause
	2574	!-- problems and the yaw controller is probably flawed. -> Routine for
	2575	!-- averaging needs to be improved!
	2576	!
	2577	!-- Check if turbine is not yawing
[1819]	2578	IF ( .NOT. doyaw(inot) ) THEN
[1843]	2579	!
[1864]	2580	!-- Write current wind direction into array
[1843]	2581	wd30_l = wd30(inot,:)
	2582	wd30_l = CSHIFT( wd30_l, SHIFT=-1 )
[1819]	2583	wd30_l(1) = wdir(inot)
[1843]	2584	!
[1864]	2585	!-- Check if array is full ( no more dummies )
[1819]	2586	IF ( .NOT. ANY( wd30_l == 999.) ) THEN
	2587
	2588	missal = SUM( wd30_l ) / SIZE( wd30_l ) - phi_yaw(inot)
	2589	!
[1864]	2590	!-- Check if turbine is missaligned by more than max_miss
[1843]	2591	IF ( ABS( missal ) > max_miss ) THEN
	2592	!
[1864]	2593	!-- Check in which direction to yaw
[1843]	2594	yawdir(inot) = SIGN( 1.0_wp, missal )
[1819]	2595	!
[1864]	2596	!-- Start yawing of turbine
[1843]	2597	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2598	doyaw(inot) = .TRUE.
[1864]	2599	wd30_l = 999. ! fill with dummies again
[1819]	2600	ENDIF
	2601	ENDIF
	2602
	2603	wd30(inot,:) = wd30_l
	2604
	2605	!
[1864]	2606	!-- If turbine is already yawing:
	2607	!-- Initialize 2 s running mean and yaw until the missalignment is smaller
	2608	!-- than min_miss
[1819]	2609
	2610	ELSE
	2611	!
	2612	!-- Initialize 2 s running mean
	2613	wd2_l = wd2(inot,:)
[1864]	2614	wd2_l = CSHIFT( wd2_l, SHIFT = -1 )
[1819]	2615	wd2_l(1) = wdir(inot)
[1843]	2616	!
[1864]	2617	!-- Check if array is full ( no more dummies )
	2618	IF ( .NOT. ANY( wd2_l == 999.0_wp ) ) THEN
	2619	!
	2620	!-- Calculate missalignment of turbine
[1819]	2621	missal = SUM( wd2_l - phi_yaw(inot) ) / SIZE( wd2_l )
[1864]	2622	!
	2623	!-- Check if missalignment is still larger than 0.5 degree and if the
	2624	!-- yaw direction is still right
	2625	IF ( ( ABS( missal ) > min_miss ) .AND. &
	2626	( yawdir(inot) == SIGN( 1.0_wp, missal ) ) ) THEN
	2627	!
	2628	!-- Continue yawing
	2629	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2630	ELSE
[1864]	2631	!
	2632	!-- Stop yawing
[1819]	2633	doyaw(inot) = .FALSE.
[1864]	2634	wd2_l = 999.0_wp ! fill with dummies again
[1819]	2635	ENDIF
	2636	ELSE
[1864]	2637	!
	2638	!-- Continue yawing
[1843]	2639	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2640	ENDIF
	2641
	2642	wd2(inot,:) = wd2_l
	2643
	2644	ENDIF
	2645
[1839]	2646	END SUBROUTINE wtm_yawcontrol
[1819]	2647
[1864]	2648
[1819]	2649	!------------------------------------------------------------------------------!
	2650	! Description:
	2651	! ------------
[1864]	2652	!> Initialization of the speed control
	2653	!------------------------------------------------------------------------------!
	2654	SUBROUTINE wtm_init_speed_control
	2655
	2656
	2657	IMPLICIT NONE
	2658
	2659	!
	2660	!-- If speed control is set, remaining variables and control_parameters for
	2661	!-- the control algorithm are calculated
	2662	!
	2663	!-- Calculate slope constant for region 15
	2664	slope15 = ( slope2 * min_reg2 * min_reg2 ) / ( min_reg2 - min_reg15 )
	2665	!
	2666	!-- Calculate upper limit of slipage region
	2667	vs_sysp = rated_genspeed / 1.1_wp
	2668	!
	2669	!-- Calculate slope of slipage region
	2670	slope25 = ( rated_power / rated_genspeed ) / &
	2671	( rated_genspeed - vs_sysp )
	2672	!
	2673	!-- Calculate lower limit of slipage region
	2674	min_reg25 = ( slope25 - SQRT( slope25 * ( slope25 - 4.0_wp * &
	2675	slope2 * vs_sysp ) ) ) / &
[2410]	2676	( 2.0_wp * slope2 )
[1864]	2677	!
	2678	!-- Frequency for the simple low pass filter
	2679	Fcorner = 0.25_wp
	2680	!
	2681	!-- At the first timestep the torque is set to its maximum to prevent
	2682	!-- an overspeeding of the rotor
[2563]	2683	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	2684	torque_gen_old(:) = max_torque_gen
	2685	ENDIF
[1864]	2686
	2687	END SUBROUTINE wtm_init_speed_control
	2688
	2689
	2690	!------------------------------------------------------------------------------!
	2691	! Description:
	2692	! ------------
	2693	!> Simple controller for the regulation of the rotor speed
	2694	!------------------------------------------------------------------------------!
	2695	SUBROUTINE wtm_speed_control( inot )
	2696
	2697
	2698	IMPLICIT NONE
	2699
[1912]	2700	INTEGER(iwp) :: inot
	2701
	2702
[1864]	2703
	2704	!
	2705	!-- The controller is based on the fortran script from Jonkman
	2706	!-- et al. 2009 "Definition of a 5 MW Reference Wind Turbine for
	2707	!-- offshore system developement"
	2708
	2709	!
	2710	!-- The generator speed is filtered by a low pass filter
	2711	!-- for the control of the generator torque
	2712	lp_coeff = EXP( -2.0_wp * 3.14_wp * dt_3d * Fcorner )
[1912]	2713	omega_gen_f(inot) = ( 1.0_wp - lp_coeff ) * omega_gen(inot) + lp_coeff *&
[1864]	2714	omega_gen_f_old(inot)
	2715
	2716	IF ( omega_gen_f(inot) <= min_reg15 ) THEN
	2717	!
	2718	!-- Region 1: Generator torque is set to zero to accelerate the rotor:
	2719	torque_gen(inot) = 0
	2720
	2721	ELSEIF ( omega_gen_f(inot) <= min_reg2 ) THEN
	2722	!
	2723	!-- Region 1.5: Generator torque is increasing linearly with rotor speed:
	2724	torque_gen(inot) = slope15 * ( omega_gen_f(inot) - min_reg15 )
	2725
	2726	ELSEIF ( omega_gen_f(inot) <= min_reg25 ) THEN
	2727	!
	2728	!-- Region 2: Generator torque is increased by the square of the generator
	2729	!-- speed to keep the TSR optimal:
	2730	torque_gen(inot) = slope2 * omega_gen_f(inot) * omega_gen_f(inot)
	2731
	2732	ELSEIF ( omega_gen_f(inot) < rated_genspeed ) THEN
	2733	!
	2734	!-- Region 2.5: Slipage region between 2 and 3:
	2735	torque_gen(inot) = slope25 * ( omega_gen_f(inot) - vs_sysp )
	2736
	2737	ELSE
	2738	!
	2739	!-- Region 3: Generator torque is antiproportional to the rotor speed to
	2740	!-- keep the power constant:
	2741	torque_gen(inot) = rated_power / omega_gen_f(inot)
	2742
	2743	ENDIF
	2744	!
	2745	!-- Calculate torque rate and confine with a max
	2746	trq_rate = ( torque_gen(inot) - torque_gen_old(inot) ) / dt_3d
	2747	trq_rate = MIN( MAX( trq_rate, -1.0_wp * max_trq_rate ), max_trq_rate )
	2748	!
	2749	!-- Calculate new gen torque and confine with max torque
	2750	torque_gen(inot) = torque_gen_old(inot) + trq_rate * dt_3d
	2751	torque_gen(inot) = MIN( torque_gen(inot), max_torque_gen )
	2752	!
	2753	!-- Overwrite values for next timestep
[1912]	2754	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
[1864]	2755
	2756
	2757	END SUBROUTINE wtm_speed_control
	2758
	2759
	2760	!------------------------------------------------------------------------------!
	2761	! Description:
	2762	! ------------
[1839]	2763	!> Application of the additional forces generated by the wind turbine on the
	2764	!> flow components (tendency terms)
	2765	!> Call for all grid points
[1819]	2766	!------------------------------------------------------------------------------!
[3875]	2767	SUBROUTINE wtm_actions( location )
[1819]	2768
	2769
[3875]	2770	CHARACTER (LEN=*) :: location !<
	2771
[1839]	2772	INTEGER(iwp) :: i !< running index
	2773	INTEGER(iwp) :: j !< running index
	2774	INTEGER(iwp) :: k !< running index
[1819]	2775
	2776
[3875]	2777	SELECT CASE ( location )
[1819]	2778
[3875]	2779	CASE ( 'before_timestep' )
	2780
	2781	CALL wtm_forces
	2782
	2783	CASE ( 'u-tendency' )
[1819]	2784	!
	2785	!-- Apply the x-component of the force to the u-component of the flow:
[1864]	2786	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2787	DO i = nxlg, nxrg
	2788	DO j = nysg, nyng
[2553]	2789	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	2790	!
[1864]	2791	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2792	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[2553]	2793	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2794	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2795	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2553]	2796
[2232]	2797	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	2798	- tend_nac_x - tend_tow_x ) &
	2799	* MERGE( 1.0_wp, 0.0_wp, &
	2800	BTEST( wall_flags_0(k,j,i), 1 ) )
[1819]	2801	ENDDO
	2802	ENDDO
	2803	ENDDO
	2804	ENDIF
	2805
[3875]	2806	CASE ( 'v-tendency' )
[1819]	2807	!
	2808	!-- Apply the y-component of the force to the v-component of the flow:
[1864]	2809	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2810	DO i = nxlg, nxrg
	2811	DO j = nysg, nyng
[2553]	2812	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	2813	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2814	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2815	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2816	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	2817	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	2818	- tend_nac_y - tend_tow_y ) &
	2819	* MERGE( 1.0_wp, 0.0_wp, &
	2820	BTEST( wall_flags_0(k,j,i), 2 ) )
[1819]	2821	ENDDO
	2822	ENDDO
	2823	ENDDO
	2824	ENDIF
	2825
[3875]	2826	CASE ( 'w-tendency' )
[1819]	2827	!
	2828	!-- Apply the z-component of the force to the w-component of the flow:
[1864]	2829	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2830	DO i = nxlg, nxrg
	2831	DO j = nysg, nyng
[2553]	2832	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	2833	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	2834	* MERGE( 1.0_wp, 0.0_wp, &
	2835	BTEST( wall_flags_0(k,j,i), 3 ) )
[1819]	2836	ENDDO
	2837	ENDDO
	2838	ENDDO
	2839	ENDIF
	2840
	2841
	2842	CASE DEFAULT
	2843
[3875]	2844	WRITE( message_string, * ) 'unknown prognostic variable: ', TRIM( location )
	2845	CALL message( 'wtm_actions', 'PA04??', 1, 2, 0, 6, 0 )
[1819]	2846
	2847	END SELECT
	2848
	2849
[3875]	2850	END SUBROUTINE wtm_actions
[1819]	2851
	2852
	2853	!------------------------------------------------------------------------------!
	2854	! Description:
	2855	! ------------
[1839]	2856	!> Application of the additional forces generated by the wind turbine on the
	2857	!> flow components (tendency terms)
	2858	!> Call for grid point i,j
[1819]	2859	!------------------------------------------------------------------------------!
[3875]	2860	SUBROUTINE wtm_actions_ij( i, j, location )
[1819]	2861
	2862
[3875]	2863	CHARACTER (LEN=*) :: location !<
[1839]	2864	INTEGER(iwp) :: i !< running index
	2865	INTEGER(iwp) :: j !< running index
	2866	INTEGER(iwp) :: k !< running index
[1819]	2867
[3875]	2868	SELECT CASE ( location )
[1819]	2869
[3875]	2870	CASE ( 'before_timestep' )
	2871
	2872	CALL wtm_forces
	2873
	2874	CASE ( 'u-tendency' )
[1819]	2875	!
	2876	!-- Apply the x-component of the force to the u-component of the flow:
[1839]	2877	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2878	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	2879	!
[1839]	2880	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2881	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2882	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2883	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2884	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2232]	2885	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	2886	- tend_nac_x - tend_tow_x ) &
	2887	* MERGE( 1.0_wp, 0.0_wp, &
[2553]	2888	BTEST( wall_flags_0(k,j,i), 1 ) )
[1819]	2889	ENDDO
	2890	ENDIF
	2891
[3875]	2892	CASE ( 'v-tendency' )
[1819]	2893	!
	2894	!-- Apply the y-component of the force to the v-component of the flow:
[1839]	2895	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2896	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	2897	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2898	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2899	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2900	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	2901	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	2902	- tend_nac_y - tend_tow_y ) &
	2903	* MERGE( 1.0_wp, 0.0_wp, &
	2904	BTEST( wall_flags_0(k,j,i), 2 ) )
[2553]	2905	ENDDO
[1819]	2906	ENDIF
	2907
[3875]	2908	CASE ( 'w-tendency' )
[1819]	2909	!
	2910	!-- Apply the z-component of the force to the w-component of the flow:
[1839]	2911	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2912	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	2913	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	2914	* MERGE( 1.0_wp, 0.0_wp, &
	2915	BTEST( wall_flags_0(k,j,i), 3 ) )
[1819]	2916	ENDDO
	2917	ENDIF
	2918
	2919
	2920	CASE DEFAULT
	2921
[3875]	2922	WRITE( message_string, * ) 'unknown prognostic variable: ', TRIM( location )
	2923	CALL message( 'wtm_actions', 'PA04??', 1, 2, 0, 6, 0 )
[1819]	2924
	2925	END SELECT
	2926
	2927
[3875]	2928	END SUBROUTINE wtm_actions_ij
[1819]	2929
	2930	END MODULE wind_turbine_model_mod

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