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source: palm/trunk/SOURCE/wind_turbine_model_mod.f90 @ 4492

Last change on this file since 4492 was 4481, checked in by maronga, 5 years ago
Bugfix for copyright updates in document_changes; copyright update applied to all files
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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	!
[4411]	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANYr
[1819]	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	!
[4481]	17	! Copyright 2009-2020 Carl von Ossietzky Universitaet Oldenburg
[4360]	18	! Copyright 1997-2020 Leibniz Universitaet Hannover
[1912]	19	!------------------------------------------------------------------------------!
[1819]	20	!
	21	! Current revisions:
	22	! -----------------
[1913]	23	!
[4438]	24	!
[1913]	25	! Former revisions:
	26	! -----------------
	27	! $Id: wind_turbine_model_mod.f90 4481 2020-03-31 18:55:54Z pavelkrc $
[4467]	28	! ASCII output cleanup
	29	!
	30	! 4465 2020-03-20 11:35:48Z maronga
[4465]	31	! Removed old ASCII outputm, some syntax layout adjustments, added output for
	32	! rotor and tower diameters. Added warning message in case of NetCDF 3 (no
	33	! WTM output file will be produced).
	34	!
	35	! 4460 2020-03-12 16:47:30Z oliver.maas
[4460]	36	! allow for simulating up to 10 000 wind turbines
	37	!
	38	! 4459 2020-03-12 09:35:23Z oliver.maas
[4459]	39	! avoid division by zero in tip loss correction factor calculation
	40	!
	41	! 4457 2020-03-11 14:20:43Z raasch
[4457]	42	! use statement for exchange horiz added
	43	!
	44	! 4447 2020-03-06 11:05:30Z oliver.maas
[4447]	45	! renamed wind_turbine_parameters namelist variables
	46	!
	47	! 4438 2020-03-03 20:49:28Z suehring
[4438]	48	! Bugfix: shifted netcdf preprocessor directive to correct position
	49	!
	50	! 4436 2020-03-03 12:47:02Z oliver.maas
[4434]	51	! added optional netcdf data input for wtm array input parameters
	52	!
	53	! 4426 2020-02-27 10:02:19Z oliver.maas
[4426]	54	! define time as unlimited dimension so that no maximum number
	55	! of time steps has to be given for wtm_data_output
	56	!
	57	! 4423 2020-02-25 07:17:11Z maronga
[4423]	58	! Switched to serial output as data is aggerated before anyway.
	59	!
	60	! 4420 2020-02-24 14:13:56Z maronga
[4420]	61	! Added output control for wind turbine model
	62	!
	63	! 4412 2020-02-19 14:53:13Z maronga
[4412]	64	! Bugfix: corrected character length in dimension_names
	65	!
	66	! 4411 2020-02-18 14:28:02Z maronga
[4411]	67	! Added output in NetCDF format using DOM (only netcdf4-parallel is supported).
	68	! Old ASCII output is still available at the moment.
	69	!
	70	! 4360 2020-01-07 11:25:50Z suehring
[4346]	71	! Introduction of wall_flags_total_0, which currently sets bits based on static
	72	! topography information used in wall_flags_static_0
	73	!
	74	! 4343 2019-12-17 12:26:12Z oliver.maas
[4343]	75	! replaced <= by < in line 1464 to ensure that ialpha will not be
	76	! greater than dlen
	77	!
	78	! 4329 2019-12-10 15:46:36Z motisi
[4329]	79	! Renamed wall_flags_0 to wall_flags_static_0
	80	!
	81	! 4326 2019-12-06 14:16:14Z oliver.maas
[4326]	82	! changed format of turbine control output to allow for higher
	83	! torque and power values
	84	!
	85	! 4182 2019-08-22 15:20:23Z scharf
[4182]	86	! Corrected "Former revisions" section
	87	!
	88	! 4144 2019-08-06 09:11:47Z raasch
[4144]	89	! relational operators .EQ., .NE., etc. replaced by ==, /=, etc.
	90	!
	91	! 4056 2019-06-27 13:53:16Z Giersch
[4056]	92	! CASE DEFAULT action in wtm_actions needs to be CONTINUE. Otherwise an abort
	93	! will happen for location values that are not implemented as CASE statements
	94	! but are already realized in the code (e.g. pt-tendency)
	95	!
	96	! 3885 2019-04-11 11:29:34Z kanani
[3885]	97	! Changes related to global restructuring of location messages and introduction
	98	! of additional debug messages
	99	!
	100	! 3875 2019-04-08 17:35:12Z knoop
[3875]	101	! Addaped wtm_tendency to fit the module actions interface
	102	!
	103	! 3832 2019-03-28 13:16:58Z raasch
[3832]	104	! instrumented with openmp directives
	105	!
	106	! 3725 2019-02-07 10:11:02Z raasch
[3725]	107	! unused variables removed
	108	!
	109	! 3685 2019-01-21 01:02:11Z knoop
[3685]	110	! Some interface calls moved to module_interface + cleanup
	111	!
	112	! 3655 2019-01-07 16:51:22Z knoop
[3593]	113	! Replace degree symbol by 'degrees'
[4182]	114	!
	115	! 1914 2016-05-26 14:44:07Z witha
	116	! Initial revision
	117	!
[3593]	118	!
[1819]	119	! Description:
	120	! ------------
	121	!> This module calculates the effect of wind turbines on the flow fields. The
	122	!> initial version contains only the advanced actuator disk with rotation method
	123	!> (ADM-R).
	124	!> The wind turbines include the tower effect, can be yawed and tilted.
	125	!> The wind turbine model includes controllers for rotational speed, pitch and
	126	!> yaw.
	127	!> Currently some specifications of the NREL 5 MW reference turbine
	128	!> are hardcoded whereas most input data comes from separate files (currently
	129	!> external, planned to be included as namelist which will be read in
	130	!> automatically).
	131	!>
[3065]	132	!> @todo Replace dz(1) appropriatly to account for grid stretching
[1819]	133	!> @todo Revise code according to PALM Coding Standard
	134	!> @todo Implement ADM and ALM turbine models
	135	!> @todo Generate header information
[1917]	136	!> @todo Implement further parameter checks and error messages
[1819]	137	!> @todo Revise and add code documentation
	138	!> @todo Output turbine parameters as timeseries
	139	!> @todo Include additional output variables
[1864]	140	!> @todo Revise smearing the forces for turbines in yaw
	141	!> @todo Revise nacelle and tower parameterization
	142	!> @todo Allow different turbine types in one simulation
[1819]	143	!
	144	!------------------------------------------------------------------------------!
	145	MODULE wind_turbine_model_mod
	146
	147	USE arrays_3d, &
[2553]	148	ONLY: tend, u, v, w, zu, zw
[1819]	149
[3274]	150	USE basic_constants_and_equations_mod, &
[2553]	151	ONLY: pi
[1819]	152
	153	USE control_parameters, &
[3885]	154	ONLY: coupling_char, &
	155	debug_output, &
[4411]	156	dt_3d, dz, end_time, message_string, time_since_reference_point,&
	157	wind_turbine, initializing_actions, origin_date_time
[1819]	158
	159	USE cpulog, &
	160	ONLY: cpu_log, log_point_s
	161
[4411]	162	USE data_output_module
	163
[1819]	164	USE grid_variables, &
	165	ONLY: ddx, dx, ddy, dy
	166
	167	USE indices, &
	168	ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nz, &
[4346]	169	nzb, nzt, wall_flags_total_0
[1819]	170
	171	USE kinds
	172
[4434]	173	USE netcdf_data_input_mod, &
	174	ONLY: check_existence, &
	175	close_input_file, &
	176	get_variable, &
	177	input_pids_wtm, &
	178	inquire_num_variables, &
	179	inquire_variable_names, &
	180	input_file_wtm, &
	181	num_var_pids, &
	182	open_read_file, &
	183	pids_id, &
	184	vars_pids
	185
[1819]	186	USE pegrid
	187
	188
	189	IMPLICIT NONE
	190
[1864]	191	PRIVATE
[1819]	192
[4460]	193	INTEGER(iwp), PARAMETER :: n_turbines_max = 10000 !< maximum number of turbines (for array allocation)
	194
[4411]	195	CHARACTER(LEN=100) :: variable_name !< name of output variable
	196	CHARACTER(LEN=30) :: nc_filename
	197
[1819]	198	!
	199	!-- Variables specified in the namelist wind_turbine_par
	200
[4447]	201	INTEGER(iwp) :: n_airfoils = 8 !< number of airfoils of the used turbine model (for ADM-R and ALM)
	202	INTEGER(iwp) :: n_turbines = 1 !< number of turbines
[4411]	203
	204
	205	REAL(wp), DIMENSION(:), POINTER :: output_values_1d_pointer !< pointer for 2d output array
	206	REAL(wp), POINTER :: output_values_0d_pointer !< pointer for 2d output array
	207	REAL(wp), DIMENSION(:), ALLOCATABLE, TARGET :: output_values_1d_target !< pointer for 2d output array
	208	REAL(wp), TARGET :: output_values_0d_target !< pointer for 2d output array
	209
[4447]	210	LOGICAL :: pitch_control = .FALSE. !< switch for use of pitch controller
	211	LOGICAL :: speed_control = .FALSE. !< switch for use of speed controller
	212	LOGICAL :: yaw_control = .FALSE. !< switch for use of yaw controller
	213	LOGICAL :: tip_loss_correction = .FALSE. !< switch for use of tip loss correct.
[4411]	214
	215	LOGICAL :: initial_write_coordinates = .FALSE.
	216
[4426]	217	REAL(wp) :: dt_data_output_wtm = 0.0_wp !< data output interval
[4420]	218	REAL(wp) :: time_wtm = 0.0_wp !< time since last data output
	219
	220
[4447]	221	REAL(wp) :: segment_length_tangential = 1.0_wp !< length of the segments, the rotor area is divided into
	222	!< (in tangential direction, as factor of MIN(dx,dy,dz))
	223	REAL(wp) :: segment_width_radial = 0.5_wp !< width of the segments, the rotor area is divided into
	224	!< (in radial direction, as factor of MIN(dx,dy,dz))
	225	REAL(wp) :: time_turbine_on = 0.0_wp !< time at which turbines are started
	226	REAL(wp) :: tilt_angle = 0.0_wp !< vertical tilt_angle of the rotor [degree] ( positive = backwards )
[1819]	227
[4411]	228
[4460]	229	REAL(wp), DIMENSION(1:n_turbines_max) :: tower_diameter = 0.0_wp !< tower diameter [m]
	230	REAL(wp), DIMENSION(1:n_turbines_max), TARGET :: rotor_speed = 0.9_wp !< inital or constant rotor speed [rad/s]
	231	REAL(wp), DIMENSION(1:n_turbines_max) :: yaw_angle = 0.0_wp !< yaw angle [degree] ( clockwise, 0 = facing west )
	232	REAL(wp), DIMENSION(1:n_turbines_max) :: pitch_angle = 0.0_wp !< constant pitch angle
	233	REAL(wp), DIMENSION(1:n_turbines_max) :: hub_x = 9999999.9_wp !< position of hub in x-direction
	234	REAL(wp), DIMENSION(1:n_turbines_max) :: hub_y = 9999999.9_wp !< position of hub in y-direction
	235	REAL(wp), DIMENSION(1:n_turbines_max) :: hub_z = 9999999.9_wp !< position of hub in z-direction
	236	REAL(wp), DIMENSION(1:n_turbines_max) :: nacelle_radius = 0.0_wp !< nacelle diameter [m]
	237	REAL(wp), DIMENSION(1:n_turbines_max) :: rotor_radius = 63.0_wp !< rotor radius [m]
	238	! REAL(wp), DIMENSION(1:n_turbines_max) :: nacelle_cd = 0.85_wp !< drag coefficient for nacelle
	239	REAL(wp), DIMENSION(1:n_turbines_max) :: tower_cd = 1.2_wp !< drag coefficient for tower
[1839]	240
[1819]	241	!
	242	!-- Variables specified in the namelist for speed controller
	243	!-- Default values are from the NREL 5MW research turbine (Jonkman, 2008)
	244
[4447]	245	REAL(wp) :: generator_power_rated = 5296610.0_wp !< rated turbine power [W]
	246	REAL(wp) :: gear_ratio = 97.0_wp !< Gear ratio from rotor to generator
	247	REAL(wp) :: rotor_inertia = 34784179.0_wp !< Inertia of the rotor [kg*m2]
	248	REAL(wp) :: generator_inertia = 534.116_wp !< Inertia of the generator [kg*m2]
	249	REAL(wp) :: generator_efficiency = 0.944_wp !< Electric efficiency of the generator
	250	REAL(wp) :: gear_efficiency = 1.0_wp !< Loss between rotor and generator
	251	REAL(wp) :: air_density = 1.225_wp !< Air density to convert to W [kg/m3]
	252	REAL(wp) :: generator_speed_rated = 121.6805_wp !< Rated generator speed [rad/s]
	253	REAL(wp) :: generator_torque_max = 47402.91_wp !< Maximum of the generator torque [Nm]
	254	REAL(wp) :: region_2_slope = 2.332287_wp !< Slope constant for region 2
	255	REAL(wp) :: region_2_min = 91.21091_wp !< Lower generator speed boundary of region 2 [rad/s]
	256	REAL(wp) :: region_15_min = 70.16224_wp !< Lower generator speed boundary of region 1.5 [rad/s]
	257	REAL(wp) :: generator_torque_rate_max = 15000.0_wp !< Max generator torque increase [Nm/s]
	258	REAL(wp) :: pitch_rate = 8.0_wp !< Max pitch rate [degree/s]
[1839]	259
[1912]	260
[1819]	261	!
	262	!-- Variables specified in the namelist for yaw control
	263
[4447]	264	REAL(wp) :: yaw_speed = 0.005236_wp !< speed of the yaw actuator [rad/s]
	265	REAL(wp) :: yaw_misalignment_max = 0.08726_wp !< maximum tolerated yaw missalignment [rad]
	266	REAL(wp) :: yaw_misalignment_min = 0.008726_wp !< minimum yaw missalignment for which the actuator stops [rad]
[1839]	267
[1819]	268
	269	!
	270	!-- Variables for initialization of the turbine model
	271
[1839]	272	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	273	INTEGER(iwp) :: nsegs_max !< maximum number of segments (all turbines, required for allocation of arrays)
	274	INTEGER(iwp) :: nrings_max !< maximum number of rings (all turbines, required for allocation of arrays)
	275	INTEGER(iwp) :: ring !< ring loop index (ring number)
	276	INTEGER(iwp) :: upper_end !<
[1819]	277
[1839]	278	INTEGER(iwp), DIMENSION(1) :: lct !<
[1819]	279
[1912]	280	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_hub !< index belonging to x-position of the turbine
	281	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_smear !< index defining the area for the smearing of the forces (x-direction)
	282	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_hub !< index belonging to y-position of the turbine
	283	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_smear !< index defining the area for the smearing of the forces (y-direction)
	284	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_hub !< index belonging to hub height
	285	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_smear !< index defining the area for the smearing of the forces (z-direction)
	286	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nrings !< number of rings per turbine
	287	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nsegs_total !< total number of segments per turbine
[1819]	288
[1912]	289	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nsegs !< number of segments per ring and turbine
[1819]	290
[1912]	291	!
	292	!- parameters for the smearing from the rotor to the cartesian grid
[1864]	293	REAL(wp) :: pol_a !< parameter for the polynomial smearing fct
	294	REAL(wp) :: pol_b !< parameter for the polynomial smearing fct
[1912]	295	REAL(wp) :: delta_t_factor !<
[1864]	296	REAL(wp) :: eps_factor !<
[1839]	297	REAL(wp) :: eps_min !<
	298	REAL(wp) :: eps_min2 !<
[1819]	299
[1839]	300	!
	301	!-- Variables for the calculation of lift and drag coefficients
[1912]	302	REAL(wp), DIMENSION(:), ALLOCATABLE :: ard !<
	303	REAL(wp), DIMENSION(:), ALLOCATABLE :: crd !<
	304	REAL(wp), DIMENSION(:), ALLOCATABLE :: delta_r !< radial segment length
	305	REAL(wp), DIMENSION(:), ALLOCATABLE :: lrd !<
[1864]	306
[1912]	307	REAL(wp) :: accu_cl_cd_tab = 0.1_wp !< Accuracy of the interpolation of
	308	!< the lift and drag coeff [deg]
[1819]	309
[1912]	310	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_tab !< table of the blade drag coefficient
	311	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_tab !< table of the blade lift coefficient
[1819]	312
[1912]	313	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: nac_cd_surf !< 3d field of the tower drag coefficient
	314	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: tow_cd_surf !< 3d field of the nacelle drag coefficient
[1819]	315
	316	!
	317	!-- Variables for the calculation of the forces
[1912]	318
[1839]	319	REAL(wp) :: cur_r !<
	320	REAL(wp) :: phi_rotor !<
	321	REAL(wp) :: pre_factor !<
	322	REAL(wp) :: torque_seg !<
	323	REAL(wp) :: u_int_l !<
	324	REAL(wp) :: u_int_u !<
	325	REAL(wp) :: u_rot !<
	326	REAL(wp) :: v_int_l !<
	327	REAL(wp) :: v_int_u !<
	328	REAL(wp) :: w_int_l !<
	329	REAL(wp) :: w_int_u !<
[3832]	330	!$OMP THREADPRIVATE (cur_r, phi_rotor, pre_factor, torque_seg, u_int_l, u_int_u, u_rot, &
	331	!$OMP& v_int_l, v_int_u, w_int_l, w_int_u)
[1912]	332	!
	333	!- Tendencies from the nacelle and tower thrust
	334	REAL(wp) :: tend_nac_x = 0.0_wp !<
	335	REAL(wp) :: tend_tow_x = 0.0_wp !<
	336	REAL(wp) :: tend_nac_y = 0.0_wp !<
	337	REAL(wp) :: tend_tow_y = 0.0_wp !<
[3832]	338	!$OMP THREADPRIVATE (tend_nac_x, tend_tow_x, tend_nac_y, tend_tow_y)
[1819]	339
[1912]	340	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack !<
	341	REAL(wp), DIMENSION(:), ALLOCATABLE :: chord !<
	342	REAL(wp), DIMENSION(:), ALLOCATABLE :: phi_rel !<
	343	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_total !<
	344	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_rotor !<
	345	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl !<
	346	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd !<
	347	REAL(wp), DIMENSION(:), ALLOCATABLE :: vrel !<
	348	REAL(wp), DIMENSION(:), ALLOCATABLE :: vtheta !<
	349
	350	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rbx, rby, rbz !< coordinates of the blade elements
	351	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rotx, roty, rotz !< normal vectors to the rotor coordinates
	352
	353	!
	354	!- Fields for the interpolation of velocities on the rotor grid
	355	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int !<
	356	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int_1_l !<
	357	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int !<
	358	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int_1_l !<
	359	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int !<
	360	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int_1_l !<
	361
	362	!
	363	!- rotor tendencies on the segments
	364	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_seg !<
	365	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_y !<
	366	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_z !<
	367
	368	!
	369	!- rotor tendencies on the rings
	370	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: thrust_ring !<
	371	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_y !<
	372	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_z !<
	373
	374	!
	375	!- rotor tendencies on rotor grids for all turbines
	376	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: thrust !<
	377	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_y !<
	378	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_z !<
	379
	380	!
	381	!- rotor tendencies on coordinate grid
	382	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_x !<
	383	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_y !<
	384	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_z !<
	385	!
	386	!- variables for the rotation of the rotor coordinates
[4460]	387	REAL(wp), DIMENSION(1:n_turbines_max,1:3,1:3) :: rot_coord_trans !< matrix for rotation of rotor coordinates
[1912]	388
[1839]	389	REAL(wp), DIMENSION(1:3) :: rot_eigen_rad !<
	390	REAL(wp), DIMENSION(1:3) :: rot_eigen_azi !<
	391	REAL(wp), DIMENSION(1:3) :: rot_eigen_nor !<
	392	REAL(wp), DIMENSION(1:3) :: re !<
	393	REAL(wp), DIMENSION(1:3) :: rea !<
	394	REAL(wp), DIMENSION(1:3) :: ren !<
	395	REAL(wp), DIMENSION(1:3) :: rote !<
	396	REAL(wp), DIMENSION(1:3) :: rota !<
	397	REAL(wp), DIMENSION(1:3) :: rotn !<
[1819]	398
[1839]	399	!
	400	!-- Fixed variables for the speed controller
[1819]	401
[1912]	402	LOGICAL :: start_up = .TRUE. !<
[1864]	403
[1912]	404	REAL(wp) :: Fcorner !< corner freq for the controller low pass filter
[4447]	405	REAL(wp) :: region_25_min !< min region 2.5
[1912]	406	REAL(wp) :: om_rate !< rotor speed change
	407	REAL(wp) :: slope15 !< slope in region 1.5
[4447]	408	REAL(wp) :: region_25_slope !< slope in region 2.5
[1912]	409	REAL(wp) :: trq_rate !< torque change
	410	REAL(wp) :: vs_sysp !<
	411	REAL(wp) :: lp_coeff !< coeff for the controller low pass filter
[1819]	412
[4460]	413	REAL(wp), DIMENSION(n_turbines_max) :: rotor_speed_l = 0.0_wp !< local rot speed [rad/s]
[2563]	414
[1839]	415	!
	416	!-- Fixed variables for the yaw controller
[1819]	417
[1912]	418	REAL(wp), DIMENSION(:) , ALLOCATABLE :: yawdir !< direction to yaw
[4447]	419	REAL(wp), DIMENSION(:) , ALLOCATABLE :: yaw_angle_l !< local (cpu) yaw angle
[1912]	420	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd30_l !< local (cpu) long running avg of the wd
	421	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd2_l !< local (cpu) short running avg of the wd
	422	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir !< wind direction at hub
	423	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow !< wind speed at hub
	424	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir_l !<
	425	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow_l !<
	426	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd30 !<
	427	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd2 !<
[4460]	428	LOGICAL, DIMENSION(1:n_turbines_max) :: doyaw = .FALSE. !<
[1912]	429	INTEGER(iwp) :: WDLON !<
	430	INTEGER(iwp) :: WDSHO !<
[1819]	431
[2563]	432	!
	433	!-- Variables that have to be saved in the binary file for restarts
[4460]	434	REAL(wp), DIMENSION(1:n_turbines_max) :: pitch_angle_old = 0.0_wp !< old constant pitch angle
	435	REAL(wp), DIMENSION(1:n_turbines_max) :: generator_speed = 0.0_wp !< curr. generator speed
	436	REAL(wp), DIMENSION(1:n_turbines_max) :: generator_speed_f = 0.0_wp !< filtered generator speed
	437	REAL(wp), DIMENSION(1:n_turbines_max) :: generator_speed_old = 0.0_wp !< last generator speed
	438	REAL(wp), DIMENSION(1:n_turbines_max) :: generator_speed_f_old = 0.0_wp !< last filtered generator speed
	439	REAL(wp), DIMENSION(1:n_turbines_max) :: torque_gen = 0.0_wp !< generator torque
	440	REAL(wp), DIMENSION(1:n_turbines_max) :: torque_gen_old = 0.0_wp !< last generator torque
[1819]	441
[2563]	442
[1839]	443	SAVE
[1819]	444
[1839]	445
	446	INTERFACE wtm_parin
	447	MODULE PROCEDURE wtm_parin
	448	END INTERFACE wtm_parin
[2563]	449
[1912]	450	INTERFACE wtm_check_parameters
	451	MODULE PROCEDURE wtm_check_parameters
	452	END INTERFACE wtm_check_parameters
[3875]	453
[4411]	454	INTERFACE wtm_data_output
	455	MODULE PROCEDURE wtm_data_output
	456	END INTERFACE wtm_data_output
	457
[1839]	458	INTERFACE wtm_init_arrays
	459	MODULE PROCEDURE wtm_init_arrays
	460	END INTERFACE wtm_init_arrays
	461
	462	INTERFACE wtm_init
	463	MODULE PROCEDURE wtm_init
	464	END INTERFACE wtm_init
[2553]	465
[4411]	466	INTERFACE wtm_init_output
	467	MODULE PROCEDURE wtm_init_output
	468	END INTERFACE wtm_init_output
	469
[3875]	470	INTERFACE wtm_actions
	471	MODULE PROCEDURE wtm_actions
	472	MODULE PROCEDURE wtm_actions_ij
	473	END INTERFACE wtm_actions
[1819]	474
[3875]	475	INTERFACE wtm_rrd_global
	476	MODULE PROCEDURE wtm_rrd_global
	477	END INTERFACE wtm_rrd_global
[1819]	478
[3875]	479	INTERFACE wtm_wrd_global
	480	MODULE PROCEDURE wtm_wrd_global
	481	END INTERFACE wtm_wrd_global
[2563]	482
[3875]	483
	484	PUBLIC &
[4420]	485	dt_data_output_wtm, &
	486	time_wtm, &
	487	wind_turbine
	488
	489	PUBLIC &
[3875]	490	wtm_parin, &
	491	wtm_check_parameters, &
[4411]	492	wtm_data_output, &
[3875]	493	wtm_init_arrays, &
[4411]	494	wtm_init_output, &
[3875]	495	wtm_init, &
	496	wtm_actions, &
	497	wtm_rrd_global, &
	498	wtm_wrd_global
	499
	500
[1819]	501	CONTAINS
	502
	503
	504	!------------------------------------------------------------------------------!
	505	! Description:
	506	! ------------
[1839]	507	!> Parin for &wind_turbine_par for wind turbine model
[1819]	508	!------------------------------------------------------------------------------!
[1839]	509	SUBROUTINE wtm_parin
[1819]	510
[4434]	511	IMPLICIT NONE
[1819]	512
[1839]	513	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	514
[2932]	515	NAMELIST /wind_turbine_parameters/ &
[4447]	516	air_density, tower_diameter, dt_data_output_wtm, &
	517	gear_efficiency, gear_ratio, generator_efficiency, &
	518	generator_inertia, rotor_inertia, yaw_misalignment_max, &
	519	generator_torque_max, generator_torque_rate_max, yaw_misalignment_min, &
	520	region_15_min, region_2_min, n_airfoils, n_turbines, &
	521	rotor_speed, yaw_angle, pitch_angle, pitch_control, &
	522	generator_speed_rated, generator_power_rated, hub_x, hub_y, hub_z,&
	523	nacelle_radius, rotor_radius, segment_length_tangential, segment_width_radial, &
	524	region_2_slope, speed_control, tilt_angle, time_turbine_on, &
	525	tower_cd, pitch_rate, &
	526	yaw_control, yaw_speed, tip_loss_correction
	527	! , nacelle_cd
	528
[1819]	529	!
[1839]	530	!-- Try to find wind turbine model package
	531	REWIND ( 11 )
	532	line = ' '
[3248]	533	DO WHILE ( INDEX( line, '&wind_turbine_parameters' ) == 0 )
[3246]	534	READ ( 11, '(A)', END=12 ) line
[1839]	535	ENDDO
	536	BACKSPACE ( 11 )
	537
	538	!
	539	!-- Read user-defined namelist
[4420]	540	READ ( 11, wind_turbine_parameters, ERR = 10, END = 12 )
[2932]	541	!
	542	!-- Set flag that indicates that the wind turbine model is switched on
	543	wind_turbine = .TRUE.
[4465]	544
[4420]	545	GOTO 12
[2932]	546
[3246]	547	10 BACKSPACE( 11 )
[3248]	548	READ( 11 , '(A)') line
	549	CALL parin_fail_message( 'wind_turbine_parameters', line )
[3246]	550
[4420]	551	12 CONTINUE ! TBD Change from continue, mit ierrn machen
[1839]	552
	553	END SUBROUTINE wtm_parin
	554
[2563]	555
	556	!------------------------------------------------------------------------------!
	557	! Description:
	558	! ------------
[2894]	559	!> This routine writes the respective restart data.
[2576]	560	!------------------------------------------------------------------------------!
[2894]	561	SUBROUTINE wtm_wrd_global
[2576]	562
	563
[2563]	564	IMPLICIT NONE
[4420]	565
[2776]	566
[4447]	567	CALL wrd_write_string( 'generator_speed' )
	568	WRITE ( 14 ) generator_speed
[2894]	569
[4447]	570	CALL wrd_write_string( 'generator_speed_f' )
	571	WRITE ( 14 ) generator_speed_f
[2894]	572
[4447]	573	CALL wrd_write_string( 'generator_speed_f_old' )
	574	WRITE ( 14 ) generator_speed_f_old
[2894]	575
[4447]	576	CALL wrd_write_string( 'generator_speed_old' )
	577	WRITE ( 14 ) generator_speed_old
[2894]	578
[4447]	579	CALL wrd_write_string( 'rotor_speed' )
	580	WRITE ( 14 ) rotor_speed
[2894]	581
[4447]	582	CALL wrd_write_string( 'yaw_angle' )
	583	WRITE ( 14 ) yaw_angle
[2894]	584
[4447]	585	CALL wrd_write_string( 'pitch_angle' )
	586	WRITE ( 14 ) pitch_angle
[2894]	587
[4447]	588	CALL wrd_write_string( 'pitch_angle_old' )
	589	WRITE ( 14 ) pitch_angle_old
[2894]	590
	591	CALL wrd_write_string( 'torque_gen' )
[2563]	592	WRITE ( 14 ) torque_gen
[2894]	593
	594	CALL wrd_write_string( 'torque_gen_old' )
[2563]	595	WRITE ( 14 ) torque_gen_old
[2894]	596
[2563]	597
[2894]	598	END SUBROUTINE wtm_wrd_global
[2563]	599
	600
	601	!------------------------------------------------------------------------------!
	602	! Description:
	603	! ------------
	604	!> This routine reads the respective restart data.
	605	!------------------------------------------------------------------------------!
[2894]	606	SUBROUTINE wtm_rrd_global( found )
[2563]	607
	608
[2894]	609	USE control_parameters, &
	610	ONLY: length, restart_string
	611
	612
[2563]	613	IMPLICIT NONE
	614
[2894]	615	LOGICAL, INTENT(OUT) :: found
[2563]	616
	617
[2894]	618	found = .TRUE.
[2563]	619
	620
[2894]	621	SELECT CASE ( restart_string(1:length) )
[2563]	622
[4447]	623	CASE ( 'generator_speed' )
	624	READ ( 13 ) generator_speed
	625	CASE ( 'generator_speed_f' )
	626	READ ( 13 ) generator_speed_f
	627	CASE ( 'generator_speed_f_old' )
	628	READ ( 13 ) generator_speed_f_old
	629	CASE ( 'generator_speed_old' )
	630	READ ( 13 ) generator_speed_old
	631	CASE ( 'rotor_speed' )
	632	READ ( 13 ) rotor_speed
	633	CASE ( 'yaw_angle' )
	634	READ ( 13 ) yaw_angle
	635	CASE ( 'pitch_angle' )
	636	READ ( 13 ) pitch_angle
	637	CASE ( 'pitch_angle_old' )
	638	READ ( 13 ) pitch_angle_old
[2894]	639	CASE ( 'torque_gen' )
	640	READ ( 13 ) torque_gen
	641	CASE ( 'torque_gen_old' )
	642	READ ( 13 ) torque_gen_old
[2563]	643
[2894]	644	CASE DEFAULT
[2563]	645
[2894]	646	found = .FALSE.
[2563]	647
[2894]	648	END SELECT
	649
[2563]	650
[2894]	651	END SUBROUTINE wtm_rrd_global
	652
	653
[2563]	654	!------------------------------------------------------------------------------!
	655	! Description:
	656	! ------------
	657	!> Check namelist parameter
	658	!------------------------------------------------------------------------------!
[1912]	659	SUBROUTINE wtm_check_parameters
	660
	661	IMPLICIT NONE
[4436]	662
[4434]	663	IF ( .NOT. input_pids_wtm ) THEN
	664	IF ( ( .NOT.speed_control ) .AND. pitch_control ) THEN
	665	message_string = 'pitch_control = .TRUE. requires '// &
	666	'speed_control = .TRUE.'
	667	CALL message( 'wtm_check_parameters', 'PA0461', 1, 2, 0, 6, 0 )
	668	ENDIF
[4436]	669
[4447]	670	IF ( ANY( rotor_speed(1:n_turbines) < 0.0 ) ) THEN
	671	message_string = 'rotor_speed < 0.0, Please set rotor_speed to ' // &
[4434]	672	'a value equal or larger than zero'
	673	CALL message( 'wtm_check_parameters', 'PA0462', 1, 2, 0, 6, 0 )
	674	ENDIF
[4436]	675
	676
[4447]	677	IF ( ANY( hub_x(1:n_turbines) == 9999999.9_wp ) .OR. &
	678	ANY( hub_y(1:n_turbines) == 9999999.9_wp ) .OR. &
	679	ANY( hub_z(1:n_turbines) == 9999999.9_wp ) ) THEN
[4434]	680
[4447]	681	message_string = 'hub_x, hub_y, hub_z ' // &
[4434]	682	'have to be given for each turbine.'
	683	CALL message( 'wtm_check_parameters', 'PA0463', 1, 2, 0, 6, 0 )
	684	ENDIF
[1912]	685	ENDIF
[4434]	686
[1912]	687	END SUBROUTINE wtm_check_parameters
[4420]	688	!
[1912]	689
[1839]	690	!------------------------------------------------------------------------------!
	691	! Description:
	692	! ------------
	693	!> Allocate wind turbine model arrays
	694	!------------------------------------------------------------------------------!
	695	SUBROUTINE wtm_init_arrays
	696
	697	IMPLICIT NONE
	698
[1864]	699	REAL(wp) :: delta_r_factor !<
	700	REAL(wp) :: delta_r_init !<
	701
[4436]	702	#if defined( __netcdf )
[1839]	703	!
[4434]	704	! Read wtm input file (netcdf) if it exists
	705	IF ( input_pids_wtm ) THEN
	706
	707	!
	708	!-- Open the wtm input file
	709	CALL open_read_file( TRIM( input_file_wtm ) // &
	710	TRIM( coupling_char ), pids_id )
	711
	712	CALL inquire_num_variables( pids_id, num_var_pids )
	713
	714	!
	715	!-- Allocate memory to store variable names and read them
	716	ALLOCATE( vars_pids(1:num_var_pids) )
	717	CALL inquire_variable_names( pids_id, vars_pids )
	718
	719	!
	720	!-- Input of all wtm parameters
[4447]	721	IF ( check_existence( vars_pids, 'tower_diameter' ) ) THEN
	722	CALL get_variable( pids_id, 'tower_diameter', tower_diameter(1:n_turbines))
[4434]	723	ENDIF
	724
[4447]	725	IF ( check_existence( vars_pids, 'rotor_speed' ) ) THEN
	726	CALL get_variable( pids_id, 'rotor_speed', rotor_speed(1:n_turbines))
[4434]	727	ENDIF
	728
[4447]	729	IF ( check_existence( vars_pids, 'pitch_angle' ) ) THEN
	730	CALL get_variable( pids_id, 'pitch_angle', pitch_angle(1:n_turbines))
[4434]	731	ENDIF
	732
[4447]	733	IF ( check_existence( vars_pids, 'yaw_angle' ) ) THEN
	734	CALL get_variable( pids_id, 'yaw_angle', yaw_angle(1:n_turbines))
[4434]	735	ENDIF
	736
[4447]	737	IF ( check_existence( vars_pids, 'hub_x' ) ) THEN
	738	CALL get_variable( pids_id, 'hub_x', hub_x(1:n_turbines))
[4434]	739	ENDIF
	740
[4447]	741	IF ( check_existence( vars_pids, 'hub_y' ) ) THEN
	742	CALL get_variable( pids_id, 'hub_y', hub_y(1:n_turbines))
[4434]	743	ENDIF
	744
[4447]	745	IF ( check_existence( vars_pids, 'hub_z' ) ) THEN
	746	CALL get_variable( pids_id, 'hub_z', hub_z(1:n_turbines))
[4434]	747	ENDIF
	748
[4447]	749	IF ( check_existence( vars_pids, 'nacelle_radius' ) ) THEN
	750	CALL get_variable( pids_id, 'nacelle_radius', nacelle_radius(1:n_turbines))
[4434]	751	ENDIF
	752
[4447]	753	IF ( check_existence( vars_pids, 'rotor_radius' ) ) THEN
	754	CALL get_variable( pids_id, 'rotor_radius', rotor_radius(1:n_turbines))
[4434]	755	ENDIF
	756	!
[4447]	757	! IF ( check_existence( vars_pids, 'nacelle_cd' ) ) THEN
	758	! CALL get_variable( pids_id, 'nacelle_cd', nacelle_cd(1:n_turbines))
[4434]	759	! ENDIF
	760
[4447]	761	IF ( check_existence( vars_pids, 'tower_cd' ) ) THEN
	762	CALL get_variable( pids_id, 'tower_cd', tower_cd(1:n_turbines))
[4434]	763	ENDIF
	764	!
	765	!-- Close wtm input file
	766	CALL close_input_file( pids_id )
	767
	768	ENDIF
	769	#endif
	770
	771	!
[1839]	772	!-- To be able to allocate arrays with dimension of rotor rings and segments,
[1819]	773	!-- the maximum possible numbers of rings and segments have to be calculated:
	774
[4447]	775	ALLOCATE( nrings(1:n_turbines) )
	776	ALLOCATE( delta_r(1:n_turbines) )
[1819]	777
	778	nrings(:) = 0
	779	delta_r(:) = 0.0_wp
	780
	781	!
	782	!-- Thickness (radial) of each ring and length (tangential) of each segment:
[4447]	783	delta_r_factor = segment_width_radial
	784	delta_t_factor = segment_length_tangential
[3065]	785	delta_r_init = delta_r_factor * MIN( dx, dy, dz(1))
[1819]	786
[4447]	787	DO inot = 1, n_turbines
[1819]	788	!
	789	!-- Determine number of rings:
[4447]	790	nrings(inot) = NINT( rotor_radius(inot) / delta_r_init )
[1819]	791
[4447]	792	delta_r(inot) = rotor_radius(inot) / nrings(inot)
[1819]	793
	794	ENDDO
	795
	796	nrings_max = MAXVAL(nrings)
	797
[4447]	798	ALLOCATE( nsegs(1:nrings_max,1:n_turbines) )
	799	ALLOCATE( nsegs_total(1:n_turbines) )
[1819]	800
	801	nsegs(:,:) = 0
	802	nsegs_total(:) = 0
	803
	804
[4447]	805	DO inot = 1, n_turbines
[1819]	806	DO ring = 1, nrings(inot)
	807	!
	808	!-- Determine number of segments for each ring:
[1839]	809	nsegs(ring,inot) = MAX( 8, CEILING( delta_r_factor * pi * &
	810	( 2.0_wp * ring - 1.0_wp ) / &
	811	delta_t_factor ) )
[1819]	812	ENDDO
	813	!
	814	!-- Total sum of all rotor segments:
[1839]	815	nsegs_total(inot) = SUM( nsegs(:,inot) )
[1819]	816
	817	ENDDO
	818
	819	!
	820	!-- Maximum number of segments per ring:
	821	nsegs_max = MAXVAL(nsegs)
	822
[1864]	823	!!
	824	!!-- TODO: Folgendes im Header ausgeben!
	825	! IF ( myid == 0 ) THEN
	826	! PRINT*, 'nrings(1) = ', nrings(1)
	827	! PRINT*, '--------------------------------------------------'
	828	! PRINT*, 'nsegs(:,1) = ', nsegs(:,1)
	829	! PRINT*, '--------------------------------------------------'
	830	! PRINT*, 'nrings_max = ', nrings_max
	831	! PRINT*, 'nsegs_max = ', nsegs_max
	832	! PRINT*, 'nsegs_total(1) = ', nsegs_total(1)
	833	! ENDIF
[1819]	834
	835
	836	!
	837	!-- Allocate 1D arrays (dimension = number of turbines)
[4447]	838	ALLOCATE( i_hub(1:n_turbines) )
	839	ALLOCATE( i_smear(1:n_turbines) )
	840	ALLOCATE( j_hub(1:n_turbines) )
	841	ALLOCATE( j_smear(1:n_turbines) )
	842	ALLOCATE( k_hub(1:n_turbines) )
	843	ALLOCATE( k_smear(1:n_turbines) )
	844	ALLOCATE( torque_total(1:n_turbines) )
	845	ALLOCATE( thrust_rotor(1:n_turbines) )
[1819]	846
	847	!
	848	!-- Allocation of the 1D arrays for yaw control
[4447]	849	ALLOCATE( yawdir(1:n_turbines) )
	850	ALLOCATE( u_inflow(1:n_turbines) )
	851	ALLOCATE( wdir(1:n_turbines) )
	852	ALLOCATE( u_inflow_l(1:n_turbines) )
	853	ALLOCATE( wdir_l(1:n_turbines) )
	854	ALLOCATE( yaw_angle_l(1:n_turbines) )
[1819]	855
	856	!
	857	!-- Allocate 1D arrays (dimension = number of rotor segments)
	858	ALLOCATE( alpha_attack(1:nsegs_max) )
	859	ALLOCATE( chord(1:nsegs_max) )
	860	ALLOCATE( phi_rel(1:nsegs_max) )
	861	ALLOCATE( thrust_seg(1:nsegs_max) )
	862	ALLOCATE( torque_seg_y(1:nsegs_max) )
	863	ALLOCATE( torque_seg_z(1:nsegs_max) )
[1839]	864	ALLOCATE( turb_cd(1:nsegs_max) )
	865	ALLOCATE( turb_cl(1:nsegs_max) )
[1819]	866	ALLOCATE( vrel(1:nsegs_max) )
	867	ALLOCATE( vtheta(1:nsegs_max) )
	868
	869	!
	870	!-- Allocate 2D arrays (dimension = number of rotor rings and segments)
	871	ALLOCATE( rbx(1:nrings_max,1:nsegs_max) )
	872	ALLOCATE( rby(1:nrings_max,1:nsegs_max) )
	873	ALLOCATE( rbz(1:nrings_max,1:nsegs_max) )
	874	ALLOCATE( thrust_ring(1:nrings_max,1:nsegs_max) )
	875	ALLOCATE( torque_ring_y(1:nrings_max,1:nsegs_max) )
	876	ALLOCATE( torque_ring_z(1:nrings_max,1:nsegs_max) )
	877
	878	!
	879	!-- Allocate additional 2D arrays
[4447]	880	ALLOCATE( rotx(1:n_turbines,1:3) )
	881	ALLOCATE( roty(1:n_turbines,1:3) )
	882	ALLOCATE( rotz(1:n_turbines,1:3) )
[1819]	883
	884	!
	885	!-- Allocate 3D arrays (dimension = number of grid points)
[1912]	886	ALLOCATE( nac_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	887	ALLOCATE( rot_tend_x(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	888	ALLOCATE( rot_tend_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	889	ALLOCATE( rot_tend_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	890	ALLOCATE( thrust(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	891	ALLOCATE( torque_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	892	ALLOCATE( torque_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1912]	893	ALLOCATE( tow_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	894
	895	!
	896	!-- Allocate additional 3D arrays
[4447]	897	ALLOCATE( u_int(1:n_turbines,1:nrings_max,1:nsegs_max) )
	898	ALLOCATE( u_int_1_l(1:n_turbines,1:nrings_max,1:nsegs_max) )
	899	ALLOCATE( v_int(1:n_turbines,1:nrings_max,1:nsegs_max) )
	900	ALLOCATE( v_int_1_l(1:n_turbines,1:nrings_max,1:nsegs_max) )
	901	ALLOCATE( w_int(1:n_turbines,1:nrings_max,1:nsegs_max) )
	902	ALLOCATE( w_int_1_l(1:n_turbines,1:nrings_max,1:nsegs_max) )
[1819]	903
	904	!
	905	!-- All of the arrays are initialized with a value of zero:
	906	i_hub(:) = 0
	907	i_smear(:) = 0
	908	j_hub(:) = 0
	909	j_smear(:) = 0
	910	k_hub(:) = 0
	911	k_smear(:) = 0
[1912]	912
[1819]	913	torque_total(:) = 0.0_wp
[1912]	914	thrust_rotor(:) = 0.0_wp
[1819]	915
[2563]	916	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
[4447]	917	generator_speed(:) = 0.0_wp
	918	generator_speed_old(:) = 0.0_wp
	919	generator_speed_f(:) = 0.0_wp
	920	generator_speed_f_old(:) = 0.0_wp
	921	pitch_angle_old(:) = 0.0_wp
[2563]	922	torque_gen(:) = 0.0_wp
	923	torque_gen_old(:) = 0.0_wp
	924	ENDIF
	925
[1819]	926	yawdir(:) = 0.0_wp
[3069]	927	wdir_l(:) = 0.0_wp
[1819]	928	wdir(:) = 0.0_wp
	929	u_inflow(:) = 0.0_wp
[3069]	930	u_inflow_l(:) = 0.0_wp
[4447]	931	yaw_angle_l(:) = 0.0_wp
[1819]	932
	933	!
	934	!-- Allocate 1D arrays (dimension = number of rotor segments)
	935	alpha_attack(:) = 0.0_wp
	936	chord(:) = 0.0_wp
	937	phi_rel(:) = 0.0_wp
	938	thrust_seg(:) = 0.0_wp
	939	torque_seg_y(:) = 0.0_wp
	940	torque_seg_z(:) = 0.0_wp
[1864]	941	turb_cd(:) = 0.0_wp
	942	turb_cl(:) = 0.0_wp
[1819]	943	vrel(:) = 0.0_wp
	944	vtheta(:) = 0.0_wp
	945
	946	rbx(:,:) = 0.0_wp
	947	rby(:,:) = 0.0_wp
	948	rbz(:,:) = 0.0_wp
	949	thrust_ring(:,:) = 0.0_wp
	950	torque_ring_y(:,:) = 0.0_wp
	951	torque_ring_z(:,:) = 0.0_wp
	952
	953	rotx(:,:) = 0.0_wp
	954	roty(:,:) = 0.0_wp
	955	rotz(:,:) = 0.0_wp
	956
[1912]	957	nac_cd_surf(:,:,:) = 0.0_wp
	958	rot_tend_x(:,:,:) = 0.0_wp
	959	rot_tend_y(:,:,:) = 0.0_wp
	960	rot_tend_z(:,:,:) = 0.0_wp
[1819]	961	thrust(:,:,:) = 0.0_wp
	962	torque_y(:,:,:) = 0.0_wp
	963	torque_z(:,:,:) = 0.0_wp
[1912]	964	tow_cd_surf(:,:,:) = 0.0_wp
[1819]	965
	966	u_int(:,:,:) = 0.0_wp
	967	u_int_1_l(:,:,:) = 0.0_wp
	968	v_int(:,:,:) = 0.0_wp
	969	v_int_1_l(:,:,:) = 0.0_wp
	970	w_int(:,:,:) = 0.0_wp
	971	w_int_1_l(:,:,:) = 0.0_wp
	972
	973
[1839]	974	END SUBROUTINE wtm_init_arrays
[1819]	975
	976
	977	!------------------------------------------------------------------------------!
	978	! Description:
	979	! ------------
[1839]	980	!> Initialization of the wind turbine model
[1819]	981	!------------------------------------------------------------------------------!
[1839]	982	SUBROUTINE wtm_init
[1819]	983
[1839]	984
[3065]	985	USE control_parameters, &
	986	ONLY: dz_stretch_level_start
	987
[4457]	988	USE exchange_horiz_mod, &
	989	ONLY: exchange_horiz
	990
[1819]	991	IMPLICIT NONE
	992
[4411]	993
	994
[1819]	995	INTEGER(iwp) :: i !< running index
	996	INTEGER(iwp) :: j !< running index
	997	INTEGER(iwp) :: k !< running index
[1864]	998
[4411]	999
[1819]	1000	!
[1864]	1001	!-- Help variables for the smearing function
	1002	REAL(wp) :: eps_kernel !<
	1003
[1839]	1004	!
[1864]	1005	!-- Help variables for calculation of the tower drag
	1006	INTEGER(iwp) :: tower_n !<
	1007	INTEGER(iwp) :: tower_s !<
	1008
	1009	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: circle_points !<
	1010
	1011	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacb !<
	1012	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacl !<
	1013	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacr !<
	1014	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nact !<
	1015
[3885]	1016	IF ( debug_output ) CALL debug_message( 'wtm_init', 'start' )
[3685]	1017
[4447]	1018	ALLOCATE( index_nacb(1:n_turbines) )
	1019	ALLOCATE( index_nacl(1:n_turbines) )
	1020	ALLOCATE( index_nacr(1:n_turbines) )
	1021	ALLOCATE( index_nact(1:n_turbines) )
[1819]	1022
[1839]	1023	!
[1819]	1024	!------------------------------------------------------------------------------!
[1839]	1025	!-- Calculation of parameters for the regularization kernel
	1026	!-- (smearing of the forces)
[1819]	1027	!------------------------------------------------------------------------------!
	1028	!
[1839]	1029	!-- In the following, some of the required parameters for the smearing will
	1030	!-- be calculated:
[1819]	1031
[1839]	1032	!-- The kernel is set equal to twice the grid spacing which has turned out to
	1033	!-- be a reasonable value (see e.g. Troldborg et al. (2013), Wind Energy,
[1819]	1034	!-- DOI: 10.1002/we.1608):
	1035	eps_kernel = 2.0_wp * dx
	1036	!
[1839]	1037	!-- The zero point (eps_min) of the polynomial function must be the following
	1038	!-- if the integral of the polynomial function (for values < eps_min) shall
	1039	!-- be equal to the integral of the Gaussian function used before:
	1040	eps_min = ( 105.0_wp / 32.0_wp )*( 1.0_wp / 3.0_wp ) &
	1041	pi*( 1.0_wp / 6.0_wp ) eps_kernel
[1819]	1042	!
[3065]	1043	!-- Stretching (non-uniform grid spacing) is not considered in the wind
	1044	!-- turbine model. Therefore, vertical stretching has to be applied above
	1045	!-- the area where the wtm is active. ABS (...) is required because the
	1046	!-- default value of dz_stretch_level_start is -9999999.9_wp (negative).
[4447]	1047	IF ( ABS( dz_stretch_level_start(1) ) <= MAXVAL(hub_z(1:n_turbines)) + &
	1048	MAXVAL(rotor_radius(1:n_turbines)) + &
[3174]	1049	eps_min) THEN
[3065]	1050	WRITE( message_string, * ) 'The lowest level where vertical ', &
	1051	'stretching is applied &have to be ', &
[4447]	1052	'greater than ',MAXVAL(hub_z(1:n_turbines)) &
	1053	+ MAXVAL(rotor_radius(1:n_turbines)) + eps_min
[3066]	1054	CALL message( 'wtm_init', 'PA0484', 1, 2, 0, 6, 0 )
[3065]	1055	ENDIF
	1056	!
[1819]	1057	!-- Square of eps_min:
	1058	eps_min2 = eps_min**2
	1059	!
	1060	!-- Parameters in the polynomial function:
[1864]	1061	pol_a = 1.0_wp / eps_min**4
	1062	pol_b = 2.0_wp / eps_min**2
[1819]	1063	!
[1839]	1064	!-- Normalization factor which is the inverse of the integral of the smearing
	1065	!-- function:
	1066	eps_factor = 105.0_wp / ( 32.0_wp * pi * eps_min**3 )
	1067
[1864]	1068	!-- Change tilt angle to rad:
[4447]	1069	tilt_angle = tilt_angle * pi / 180.0_wp
[1864]	1070
[1819]	1071	!
[1864]	1072	!-- Change yaw angle to rad:
[2563]	1073	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
[4447]	1074	yaw_angle(:) = yaw_angle(:) * pi / 180.0_wp
[2563]	1075	ENDIF
[1819]	1076
[1864]	1077
[4447]	1078	DO inot = 1, n_turbines
[1819]	1079	!
[1864]	1080	!-- Rotate the rotor coordinates in case yaw and tilt are defined
	1081	CALL wtm_rotate_rotor( inot )
[1819]	1082
	1083	!
	1084	!-- Determine the indices of the hub height
[4447]	1085	i_hub(inot) = INT( hub_x(inot) / dx )
	1086	j_hub(inot) = INT( ( hub_y(inot) + 0.5_wp * dy ) / dy )
	1087	k_hub(inot) = INT( ( hub_z(inot) + 0.5_wp * dz(1) ) / dz(1) )
[1819]	1088
	1089	!
	1090	!-- Determining the area to which the smearing of the forces is applied.
[1839]	1091	!-- As smearing now is effectively applied only for distances smaller than
	1092	!-- eps_min, the smearing area can be further limited and regarded as a
	1093	!-- function of eps_min:
[4447]	1094	i_smear(inot) = CEILING( ( rotor_radius(inot) + eps_min ) / dx )
	1095	j_smear(inot) = CEILING( ( rotor_radius(inot) + eps_min ) / dy )
	1096	k_smear(inot) = CEILING( ( rotor_radius(inot) + eps_min ) / dz(1) )
[1864]	1097
[1819]	1098	ENDDO
	1099
	1100	!
[2792]	1101	!-- Call the wtm_init_speed_control subroutine and calculate the local
[4447]	1102	!-- rotor_speed for the respective processor.
[2792]	1103	IF ( speed_control) THEN
	1104
[3875]	1105	CALL wtm_init_speed_control
[2792]	1106
	1107	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
	1108
[4447]	1109	DO inot = 1, n_turbines
[2792]	1110
	1111	IF ( nxl > i_hub(inot) ) THEN
	1112	torque_gen(inot) = 0.0_wp
[4447]	1113	generator_speed_f(inot) = 0.0_wp
	1114	rotor_speed_l(inot) = 0.0_wp
[2792]	1115	ENDIF
	1116
	1117	IF ( nxr < i_hub(inot) ) THEN
	1118	torque_gen(inot) = 0.0_wp
[4447]	1119	generator_speed_f(inot) = 0.0_wp
	1120	rotor_speed_l(inot) = 0.0_wp
[2792]	1121	ENDIF
	1122
	1123	IF ( nys > j_hub(inot) ) THEN
	1124	torque_gen(inot) = 0.0_wp
[4447]	1125	generator_speed_f(inot) = 0.0_wp
	1126	rotor_speed_l(inot) = 0.0_wp
[2792]	1127	ENDIF
	1128
	1129	IF ( nyn < j_hub(inot) ) THEN
	1130	torque_gen(inot) = 0.0_wp
[4447]	1131	generator_speed_f(inot) = 0.0_wp
	1132	rotor_speed_l(inot) = 0.0_wp
[2792]	1133	ENDIF
	1134
	1135	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) THEN
	1136	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) ) THEN
	1137
[4447]	1138	rotor_speed_l(inot) = generator_speed(inot) / gear_ratio
[2792]	1139
	1140	ENDIF
	1141	ENDIF
	1142
	1143	END DO
	1144
	1145	ENDIF
	1146
	1147	ENDIF
	1148
	1149	!
[1819]	1150	!------------------------------------------------------------------------------!
[1839]	1151	!-- Determine the area within each grid cell that overlaps with the area
	1152	!-- of the nacelle and the tower (needed for calculation of the forces)
[1819]	1153	!------------------------------------------------------------------------------!
	1154	!
	1155	!-- Note: so far this is only a 2D version, in that the mean flow is
	1156	!-- perpendicular to the rotor area.
	1157
	1158	!
	1159	!-- Allocation of the array containing information on the intersection points
	1160	!-- between rotor disk and the numerical grid:
	1161	upper_end = ( ny + 1 ) * 10000
	1162
	1163	ALLOCATE( circle_points(1:2,1:upper_end) )
[1839]	1164
	1165	circle_points(:,:) = 0.0_wp
[1819]	1166
[1839]	1167
[4447]	1168	DO inot = 1, n_turbines ! loop over number of turbines
[1819]	1169	!
[1839]	1170	!-- Determine the grid index (u-grid) that corresponds to the location of
	1171	!-- the rotor center (reduces the amount of calculations in the case that
	1172	!-- the mean flow is perpendicular to the rotor area):
[1819]	1173	i = i_hub(inot)
	1174
	1175	!
[1839]	1176	!-- Determine the left and the right edge of the nacelle (corresponding
	1177	!-- grid point indices):
[4447]	1178	index_nacl(inot) = INT( ( hub_y(inot) - nacelle_radius(inot) + 0.5_wp * dy ) / dy )
	1179	index_nacr(inot) = INT( ( hub_y(inot) + nacelle_radius(inot) + 0.5_wp * dy ) / dy )
[1819]	1180	!
[1839]	1181	!-- Determine the bottom and the top edge of the nacelle (corresponding
	1182	!-- grid point indices).The grid point index has to be increased by 1, as
	1183	!-- the first level for the u-component (index 0) is situated below the
	1184	!-- surface. All points between z=0 and z=dz/s would already be contained
	1185	!-- in grid box 1.
[4447]	1186	index_nacb(inot) = INT( ( hub_z(inot) - nacelle_radius(inot) ) / dz(1) ) + 1
	1187	index_nact(inot) = INT( ( hub_z(inot) + nacelle_radius(inot) ) / dz(1) ) + 1
[1819]	1188
	1189	!
	1190	!-- Determine the indices of the grid boxes containing the left and
[1864]	1191	!-- the right boundaries of the tower:
[4447]	1192	tower_n = ( hub_y(inot) + 0.5_wp * tower_diameter(inot) - 0.5_wp * dy ) / dy
	1193	tower_s = ( hub_y(inot) - 0.5_wp * tower_diameter(inot) - 0.5_wp * dy ) / dy
[1819]	1194
	1195	!
	1196	!-- Determine the fraction of the grid box area overlapping with the tower
[1864]	1197	!-- area and multiply it with the drag of the tower:
[1839]	1198	IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1819]	1199
	1200	DO j = nys, nyn
	1201	!
[1839]	1202	!-- Loop from south to north boundary of tower
	1203	IF ( ( j >= tower_s ) .AND. ( j <= tower_n ) ) THEN
	1204
[1819]	1205	DO k = nzb, nzt
	1206
	1207	IF ( k == k_hub(inot) ) THEN
	1208	IF ( tower_n - tower_s >= 1 ) THEN
[1839]	1209	!
[1819]	1210	!-- leftmost and rightmost grid box:
	1211	IF ( j == tower_s ) THEN
[4447]	1212	tow_cd_surf(k,j,i) = ( hub_z(inot) - &
[3065]	1213	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*& ! extension in z-direction
[1912]	1214	( ( tower_s + 1.0_wp + 0.5_wp ) * dy - &
[4447]	1215	( hub_y(inot) - 0.5_wp * tower_diameter(inot) ) ) * & ! extension in y-direction
	1216	tower_cd(inot)
[1819]	1217	ELSEIF ( j == tower_n ) THEN
[4447]	1218	tow_cd_surf(k,j,i) = ( hub_z(inot) - &
[3065]	1219	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*& ! extension in z-direction
[4447]	1220	( ( hub_y(inot) + 0.5_wp * tower_diameter(inot) ) - &
[1912]	1221	( tower_n + 0.5_wp ) * dy ) * & ! extension in y-direction
[4447]	1222	tower_cd(inot)
[1819]	1223	!
	1224	!-- grid boxes inbetween
[1912]	1225	!-- (where tow_cd_surf = grid box area):
[1819]	1226	ELSE
[4447]	1227	tow_cd_surf(k,j,i) = ( hub_z(inot) - &
[3065]	1228	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*&
[4447]	1229	dy * tower_cd(inot)
[1819]	1230	ENDIF
	1231	!
	1232	!-- tower lies completely within one grid box:
	1233	ELSE
[4447]	1234	tow_cd_surf(k,j,i) = ( hub_z(inot) - ( k_hub(inot) * &
[3065]	1235	dz(1) - 0.5_wp * dz(1) ) ) * &
[4447]	1236	tower_diameter(inot) * tower_cd(inot)
[1819]	1237	ENDIF
[1839]	1238	!
	1239	!-- In case that k is smaller than k_hub the following actions
	1240	!-- are carried out:
[1819]	1241	ELSEIF ( k < k_hub(inot) ) THEN
	1242
[1839]	1243	IF ( ( tower_n - tower_s ) >= 1 ) THEN
	1244	!
[1819]	1245	!-- leftmost and rightmost grid box:
	1246	IF ( j == tower_s ) THEN
[3065]	1247	tow_cd_surf(k,j,i) = dz(1) * ( &
[1839]	1248	( tower_s + 1 + 0.5_wp ) * dy - &
[4447]	1249	( hub_y(inot) - 0.5_wp * tower_diameter(inot) ) &
	1250	) * tower_cd(inot)
[1819]	1251	ELSEIF ( j == tower_n ) THEN
[3065]	1252	tow_cd_surf(k,j,i) = dz(1) * ( &
[4447]	1253	( hub_y(inot) + 0.5_wp * tower_diameter(inot) ) - &
[1839]	1254	( tower_n + 0.5_wp ) * dy &
[4447]	1255	) * tower_cd(inot)
[1839]	1256	!
	1257	!-- grid boxes inbetween
[1912]	1258	!-- (where tow_cd_surf = grid box area):
[1819]	1259	ELSE
[3065]	1260	tow_cd_surf(k,j,i) = dz(1) * dy * &
[4447]	1261	tower_cd(inot)
[1819]	1262	ENDIF
[1839]	1263	!
[1819]	1264	!-- tower lies completely within one grid box:
	1265	ELSE
[4447]	1266	tow_cd_surf(k,j,i) = dz(1) * tower_diameter(inot) * &
	1267	tower_cd(inot)
[1839]	1268	ENDIF ! end if larger than grid box
	1269
	1270	ENDIF ! end if k == k_hub
	1271
	1272	ENDDO ! end loop over k
	1273
	1274	ENDIF ! end if inside north and south boundary of tower
	1275
	1276	ENDDO ! end loop over j
	1277
	1278	ENDIF ! end if hub inside domain + ghostpoints
[1819]	1279
[1839]	1280
[1912]	1281	CALL exchange_horiz( tow_cd_surf, nbgp )
[1819]	1282
[1839]	1283	!
[1864]	1284	!-- Calculation of the nacelle area
	1285	!-- CAUTION: Currently disabled due to segmentation faults on the FLOW HPC
	1286	!-- cluster (Oldenburg)
	1287	!!
	1288	!!-- Tabulate the points on the circle that are required in the following for
	1289	!!-- the calculation of the Riemann integral (node points; they are called
	1290	!!-- circle_points in the following):
	1291	!
	1292	! dy_int = dy / 10000.0_wp
	1293	!
	1294	! DO i_ip = 1, upper_end
	1295	! yvalue = dy_int * ( i_ip - 0.5_wp ) + 0.5_wp * dy !<--- segmentation fault
[4447]	1296	! sqrt_arg = nacelle_radius(inot)2 - ( yvalue - hub_y(inot) )2 !<--- segmentation fault
[1864]	1297	! IF ( sqrt_arg >= 0.0_wp ) THEN
	1298	!!
	1299	!!-- bottom intersection point
[4447]	1300	! circle_points(1,i_ip) = hub_z(inot) - SQRT( sqrt_arg )
[1864]	1301	!!
	1302	!!-- top intersection point
[4447]	1303	! circle_points(2,i_ip) = hub_z(inot) + SQRT( sqrt_arg ) !<--- segmentation fault
[1864]	1304	! ELSE
	1305	! circle_points(:,i_ip) = -111111 !<--- segmentation fault
	1306	! ENDIF
	1307	! ENDDO
	1308	!
	1309	!
	1310	! DO j = nys, nyn
	1311	!!
	1312	!!-- In case that the grid box is located completely outside the nacelle
	1313	!!-- (y) it can automatically be stated that there is no overlap between
	1314	!!-- the grid box and the nacelle and consequently we can set
[1912]	1315	!!-- nac_cd_surf(:,j,i) = 0.0:
[1864]	1316	! IF ( ( j >= index_nacl(inot) ) .AND. ( j <= index_nacr(inot) ) ) THEN
	1317	! DO k = nzb+1, nzt
	1318	!!
	1319	!!-- In case that the grid box is located completely outside the
	1320	!!-- nacelle (z) it can automatically be stated that there is no
	1321	!!-- overlap between the grid box and the nacelle and consequently
[1912]	1322	!!-- we can set nac_cd_surf(k,j,i) = 0.0:
[1864]	1323	! IF ( ( k >= index_nacb(inot) ) .OR. &
	1324	! ( k <= index_nact(inot) ) ) THEN
	1325	!!
	1326	!!-- For all other cases Riemann integrals are calculated.
	1327	!!-- Here, the points on the circle that have been determined
	1328	!!-- above are used in order to calculate the overlap between the
	1329	!!-- gridbox and the nacelle area (area approached by 10000
	1330	!!-- rectangulars dz_int * dy_int):
	1331	! DO i_ipg = 1, 10000
	1332	! dz_int = dz
	1333	! i_ip = j * 10000 + i_ipg
	1334	!!
	1335	!!-- Determine the vertical extension dz_int of the circle
	1336	!!-- within the current grid box:
	1337	! IF ( ( circle_points(2,i_ip) < zw(k) ) .AND. & !<--- segmentation fault
	1338	! ( circle_points(2,i_ip) >= zw(k-1) ) ) THEN
	1339	! dz_int = dz_int - & !<--- segmentation fault
	1340	! ( zw(k) - circle_points(2,i_ip) )
	1341	! ENDIF
	1342	! IF ( ( circle_points(1,i_ip) <= zw(k) ) .AND. & !<--- segmentation fault
	1343	! ( circle_points(1,i_ip) > zw(k-1) ) ) THEN
	1344	! dz_int = dz_int - &
	1345	! ( circle_points(1,i_ip) - zw(k-1) )
	1346	! ENDIF
	1347	! IF ( zw(k-1) > circle_points(2,i_ip) ) THEN
	1348	! dz_int = 0.0_wp
	1349	! ENDIF
	1350	! IF ( zw(k) < circle_points(1,i_ip) ) THEN
	1351	! dz_int = 0.0_wp
	1352	! ENDIF
	1353	! IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1912]	1354	! nac_cd_surf(k,j,i) = nac_cd_surf(k,j,i) + & !<--- segmentation fault
[4447]	1355	! dy_int * dz_int * nacelle_cd(inot)
[1864]	1356	! ENDIF
	1357	! ENDDO
	1358	! ENDIF
	1359	! ENDDO
	1360	! ENDIF
[1819]	1361	!
[1864]	1362	! ENDDO
[1819]	1363	!
[1912]	1364	! CALL exchange_horiz( nac_cd_surf, nbgp ) !<--- segmentation fault
[1819]	1365
[1864]	1366	ENDDO ! end of loop over turbines
[1819]	1367
[3065]	1368	tow_cd_surf = tow_cd_surf / ( dx * dy * dz(1) ) ! Normalize tower drag
	1369	nac_cd_surf = nac_cd_surf / ( dx * dy * dz(1) ) ! Normalize nacelle drag
[1819]	1370
[1912]	1371	CALL wtm_read_blade_tables
[3685]	1372
[3885]	1373	IF ( debug_output ) CALL debug_message( 'wtm_init', 'end' )
[1839]	1374
[1864]	1375	END SUBROUTINE wtm_init
	1376
	1377
[4411]	1378
[4423]	1379	SUBROUTINE wtm_init_output
[4411]	1380
	1381
[4426]	1382	! INTEGER(iwp) :: ntimesteps !< number of timesteps defined in NetCDF output file
	1383	! INTEGER(iwp) :: ntimesteps_max = 80000 !< number of maximum timesteps defined in NetCDF output file
[4423]	1384	INTEGER(iwp) :: return_value !< returned status value of called function
	1385
	1386	INTEGER(iwp) :: n !< running index
[4411]	1387
[4423]	1388	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ndim !< dummy to write dimension
[4411]	1389
	1390
	1391	!
[4423]	1392	!-- Create NetCDF output file
[4465]	1393	#if defined( __netcdf4 )
	1394	nc_filename = 'DATA_1D_TS_WTM_NETCDF' // TRIM( coupling_char )
[4423]	1395	return_value = dom_def_file( nc_filename, 'netcdf4-serial' )
[4465]	1396	#else
	1397	message_string = 'Wind turbine model output requires NetCDF version 4. ' //&
	1398	'No output file will be created.'
	1399	CALL message( 'wtm_init_output', 'PA0672', &
	1400	0, 1, 0, 6, 0 )
	1401	#endif
[4423]	1402	IF ( myid == 0 ) THEN
[4411]	1403	!
	1404	!-- Define dimensions in output file
[4447]	1405	ALLOCATE( ndim(1:n_turbines) )
	1406	DO n = 1, n_turbines
[4411]	1407	ndim(n) = n
	1408	ENDDO
	1409	return_value = dom_def_dim( nc_filename, &
	1410	dimension_name = 'turbine', &
	1411	output_type = 'int32', &
[4447]	1412	bounds = (/1_iwp, n_turbines/), &
[4411]	1413	values_int32 = ndim )
	1414	DEALLOCATE( ndim )
	1415
	1416	return_value = dom_def_dim( nc_filename, &
[4426]	1417	dimension_name = 'time', &
	1418	output_type = 'real32', &
	1419	bounds = (/1_iwp/), &
	1420	values_realwp = (/0.0_wp/) )
[4411]	1421
	1422	variable_name = 'x'
[4465]	1423	return_value = dom_def_var( nc_filename, &
[4411]	1424	variable_name = variable_name, &
	1425	dimension_names = (/'turbine'/), &
	1426	output_type = 'real32' )
[4465]	1427
[4411]	1428	variable_name = 'y'
[4465]	1429	return_value = dom_def_var( nc_filename, &
[4411]	1430	variable_name = variable_name, &
	1431	dimension_names = (/'turbine'/), &
	1432	output_type = 'real32' )
	1433
	1434	variable_name = 'z'
[4465]	1435	return_value = dom_def_var( nc_filename, &
[4411]	1436	variable_name = variable_name, &
	1437	dimension_names = (/'turbine'/), &
	1438	output_type = 'real32' )
	1439
[4465]	1440
	1441	variable_name = 'rotor_diameter'
	1442	return_value = dom_def_var( nc_filename, &
	1443	variable_name = variable_name, &
	1444	dimension_names = (/'turbine'/), &
	1445	output_type = 'real32' )
	1446
	1447	variable_name = 'tower_diameter'
	1448	return_value = dom_def_var( nc_filename, &
	1449	variable_name = variable_name, &
	1450	dimension_names = (/'turbine'/), &
	1451	output_type = 'real32' )
	1452
	1453	return_value = dom_def_att( nc_filename, &
[4411]	1454	variable_name = 'time', &
[4465]	1455	attribute_name = 'units', &
[4411]	1456	value = 'seconds since ' // origin_date_time )
[4465]	1457
	1458	return_value = dom_def_att( nc_filename, &
[4411]	1459	variable_name = 'x', &
[4465]	1460	attribute_name = 'units', &
[4411]	1461	value = 'm' )
	1462
[4465]	1463	return_value = dom_def_att( nc_filename, &
[4411]	1464	variable_name = 'y', &
[4465]	1465	attribute_name = 'units', &
[4411]	1466	value = 'm' )
	1467
[4465]	1468	return_value = dom_def_att( nc_filename, &
[4411]	1469	variable_name = 'z', &
[4465]	1470	attribute_name = 'units', &
	1471	value = 'm' )
[4411]	1472
[4465]	1473	return_value = dom_def_att( nc_filename, &
	1474	variable_name = 'rotor_diameter', &
	1475	attribute_name = 'units', &
	1476	value = 'm' )
	1477
	1478	return_value = dom_def_att( nc_filename, &
	1479	variable_name = 'tower_diameter', &
	1480	attribute_name = 'units', &
	1481	value = 'm' )
	1482
	1483	return_value = dom_def_att( nc_filename, &
[4411]	1484	variable_name = 'x', &
[4465]	1485	attribute_name = 'long_name', &
[4411]	1486	value = 'x location of rotor center' )
	1487
[4465]	1488	return_value = dom_def_att( nc_filename, &
[4411]	1489	variable_name = 'y', &
[4465]	1490	attribute_name = 'long_name', &
[4411]	1491	value = 'y location of rotor center' )
	1492
[4465]	1493	return_value = dom_def_att( nc_filename, &
[4411]	1494	variable_name = 'z', &
[4465]	1495	attribute_name = 'long_name', &
[4411]	1496	value = 'z location of rotor center' )
[4465]	1497
	1498	return_value = dom_def_att( nc_filename, &
[4411]	1499	variable_name = 'turbine_name', &
[4465]	1500	attribute_name = 'long_name', &
	1501	value = 'turbine name')
	1502
	1503	return_value = dom_def_att( nc_filename, &
	1504	variable_name = 'rotor_diameter', &
	1505	attribute_name = 'long_name', &
	1506	value = 'rotor diameter')
	1507
	1508	return_value = dom_def_att( nc_filename, &
	1509	variable_name = 'tower_diameter', &
	1510	attribute_name = 'long_name', &
	1511	value = 'tower diameter')
	1512
	1513	return_value = dom_def_att( nc_filename, &
[4411]	1514	variable_name = 'time', &
[4465]	1515	attribute_name = 'standard_name', &
[4411]	1516	value = 'time')
	1517
[4465]	1518	return_value = dom_def_att( nc_filename, &
[4411]	1519	variable_name = 'time', &
	1520	attribute_name = 'axis', &
	1521	value = 'T')
	1522
[4465]	1523	return_value = dom_def_att( nc_filename, &
[4411]	1524	variable_name = 'x', &
	1525	attribute_name = 'axis', &
	1526	value = 'X' )
	1527
[4465]	1528	return_value = dom_def_att( nc_filename, &
[4411]	1529	variable_name = 'y', &
	1530	attribute_name = 'axis', &
[4465]	1531	value = 'Y' )
[4411]	1532
[4465]	1533
	1534	variable_name = 'generator_power'
	1535	return_value = dom_def_var( nc_filename, &
	1536	variable_name = variable_name, &
	1537	dimension_names = (/ 'turbine', 'time ' /), &
	1538	output_type = 'real32' )
[4411]	1539
[4465]	1540	return_value = dom_def_att( nc_filename, &
	1541	variable_name = variable_name, &
	1542	attribute_name = 'units', &
	1543	value = 'W' )
	1544
[4411]	1545	variable_name = 'generator_speed'
[4465]	1546	return_value = dom_def_var( nc_filename, &
	1547	variable_name = variable_name, &
	1548	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1549	output_type = 'real32' )
[4465]	1550
	1551	return_value = dom_def_att( nc_filename, &
	1552	variable_name = variable_name, &
	1553	attribute_name = 'units', &
[4411]	1554	value = 'rad/s' )
[4465]	1555
[4411]	1556	variable_name = 'generator_torque'
[4465]	1557	return_value = dom_def_var( nc_filename, &
	1558	variable_name = variable_name, &
	1559	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1560	output_type = 'real32' )
	1561
[4465]	1562	return_value = dom_def_att( nc_filename, &
	1563	variable_name = variable_name, &
	1564	attribute_name = 'units', &
[4411]	1565	value = 'Nm' )
	1566
	1567	variable_name = 'pitch_angle'
[4465]	1568	return_value = dom_def_var( nc_filename, &
	1569	variable_name = variable_name, &
	1570	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1571	output_type = 'real32' )
[4465]	1572
	1573	return_value = dom_def_att( nc_filename, &
	1574	variable_name = variable_name, &
	1575	attribute_name = 'units', &
	1576	value = 'degrees' )
	1577
	1578	variable_name = 'rotor_power'
	1579	return_value = dom_def_var( nc_filename, &
	1580	variable_name = variable_name, &
	1581	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1582	output_type = 'real32' )
	1583
[4465]	1584	return_value = dom_def_att( nc_filename, &
	1585	variable_name = variable_name, &
	1586	attribute_name = 'units', &
[4411]	1587	value = 'W' )
[4465]	1588
	1589	variable_name = 'rotor_speed'
	1590	return_value = dom_def_var( nc_filename, &
	1591	variable_name = variable_name, &
	1592	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1593	output_type = 'real32' )
	1594
[4465]	1595	return_value = dom_def_att( nc_filename, &
	1596	variable_name = variable_name, &
	1597	attribute_name = 'units', &
	1598	value = 'rad/s' )
	1599
	1600	variable_name = 'rotor_thrust'
	1601	return_value = dom_def_var( nc_filename, &
	1602	variable_name = variable_name, &
	1603	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1604	output_type = 'real32' )
	1605
[4465]	1606	return_value = dom_def_att( nc_filename, &
	1607	variable_name = variable_name, &
	1608	attribute_name = 'units', &
[4411]	1609	value = 'N' )
[4465]	1610
	1611	variable_name = 'rotor_torque'
	1612	return_value = dom_def_var( nc_filename, &
	1613	variable_name = variable_name, &
	1614	dimension_names = (/ 'turbine', 'time ' /), &
	1615	output_type = 'real32' )
	1616
	1617	return_value = dom_def_att( nc_filename, &
	1618	variable_name = variable_name, &
	1619	attribute_name = 'units', &
	1620	value = 'Nm' )
	1621
[4411]	1622	variable_name = 'wind_direction'
[4465]	1623	return_value = dom_def_var( nc_filename, &
	1624	variable_name = variable_name, &
	1625	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1626	output_type = 'real32' )
	1627
[4465]	1628	return_value = dom_def_att( nc_filename, &
	1629	variable_name = variable_name, &
	1630	attribute_name = 'units', &
[4411]	1631	value = 'degrees' )
[4465]	1632
[4411]	1633	variable_name = 'yaw_angle'
[4465]	1634	return_value = dom_def_var( nc_filename, &
	1635	variable_name = variable_name, &
	1636	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1637	output_type = 'real32' )
	1638
[4465]	1639	return_value = dom_def_att( nc_filename, &
	1640	variable_name = variable_name, &
	1641	attribute_name = 'units', &
[4411]	1642	value = 'degrees' )
[4423]	1643
[4465]	1644	ENDIF
[4423]	1645	END SUBROUTINE
[4411]	1646
[1819]	1647	!------------------------------------------------------------------------------!
[1864]	1648	! Description:
	1649	! ------------
	1650	!> Read in layout of the rotor blade , the lift and drag tables
	1651	!> and the distribution of lift and drag tables along the blade
[1819]	1652	!------------------------------------------------------------------------------!
[1912]	1653	!
	1654	SUBROUTINE wtm_read_blade_tables
[1819]	1655
[1839]	1656
[1864]	1657	IMPLICIT NONE
	1658
	1659	INTEGER(iwp) :: ii !< running index
	1660	INTEGER(iwp) :: jj !< running index
[1843]	1661
[1864]	1662	INTEGER(iwp) :: ierrn !<
	1663
	1664	CHARACTER(200) :: chmess !< Read in string
[1839]	1665
[1864]	1666	INTEGER(iwp) :: dlen !< no. rows of local table
	1667	INTEGER(iwp) :: dlenbl !< no. rows of cd, cl table
	1668	INTEGER(iwp) :: ialpha !< table position of current alpha value
	1669	INTEGER(iwp) :: iialpha !<
	1670	INTEGER(iwp) :: iir !<
	1671	INTEGER(iwp) :: radres !< radial resolution
	1672	INTEGER(iwp) :: t1 !< no. of airfoil
	1673	INTEGER(iwp) :: t2 !< no. of airfoil
	1674	INTEGER(iwp) :: trow !<
	1675	INTEGER(iwp) :: dlenbl_int !< no. rows of interpolated cd, cl tables
[1839]	1676
[1864]	1677	REAL(wp) :: alpha_attack_i !<
	1678	REAL(wp) :: weight_a !<
	1679	REAL(wp) :: weight_b !<
[1839]	1680
[1864]	1681	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint1 !<
	1682	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint2 !<
[1839]	1683
[1864]	1684	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel1 !<
	1685	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel2 !<
	1686	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel1 !<
	1687	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel2 !<
	1688	REAL(wp), DIMENSION(:), ALLOCATABLE :: read_cl_cd !< read in var array
[1839]	1689
[1864]	1690	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack_tab !<
	1691	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad1 !<
	1692	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad2 !<
	1693	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_table !<
	1694	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_table !<
[1839]	1695
[4447]	1696	ALLOCATE ( read_cl_cd(1:2*n_airfoils+1) )
[1839]	1697
[1864]	1698	!
	1699	!-- Read in the distribution of lift and drag tables along the blade, the
	1700	!-- layout of the rotor blade and the lift and drag tables:
	1701
[2323]	1702	OPEN ( 90, FILE='WTM_DATA', STATUS='OLD', FORM='FORMATTED', IOSTAT=ierrn )
[1864]	1703
	1704	IF ( ierrn /= 0 ) THEN
	1705	message_string = 'file WTM_DATA does not exist'
[2322]	1706	CALL message( 'wtm_init', 'PA0464', 1, 2, 0, 6, 0 )
[1864]	1707	ENDIF
	1708	!
	1709	!-- Read distribution table:
	1710
	1711	dlen = 0
	1712
[2323]	1713	READ ( 90, '(3/)' )
[1864]	1714
	1715	rloop3: DO
[2323]	1716	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1717	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop3
	1718	dlen = dlen + 1
	1719	ENDDO rloop3
	1720
	1721	ALLOCATE( trad1(1:dlen), trad2(1:dlen), ttoint1(1:dlen), ttoint2(1:dlen))
	1722
	1723	DO jj = 1,dlen+1
[2323]	1724	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1725	ENDDO
	1726
	1727	DO jj = 1,dlen
[2323]	1728	READ ( 90, * ) trad1(jj), trad2(jj), ttoint1(jj), ttoint2(jj)
[1864]	1729	ENDDO
	1730
	1731	!
	1732	!-- Read layout table:
	1733
[1839]	1734	dlen = 0
[1864]	1735
[2323]	1736	READ ( 90, '(3/)')
[1864]	1737
[1843]	1738	rloop1: DO
[2323]	1739	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1740	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop1
	1741	dlen = dlen + 1
[1843]	1742	ENDDO rloop1
[1864]	1743
[1839]	1744	ALLOCATE( lrd(1:dlen), ard(1:dlen), crd(1:dlen) )
[1864]	1745	DO jj = 1, dlen+1
[2323]	1746	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1747	ENDDO
	1748	DO jj = 1, dlen
[2323]	1749	READ ( 90, * ) lrd(jj), ard(jj), crd(jj)
[1839]	1750	ENDDO
[1819]	1751
[1864]	1752	!
	1753	!-- Read tables (turb_cl(alpha),turb_cd(alpha) for the different profiles:
[1819]	1754
[1864]	1755	dlen = 0
	1756
[2323]	1757	READ ( 90, '(3/)' )
[1864]	1758
[1843]	1759	rloop2: DO
[2323]	1760	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1761	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop2
	1762	dlen = dlen + 1
	1763	ENDDO rloop2
	1764
[4447]	1765	ALLOCATE( alpha_attack_tab(1:dlen), turb_cl_table(1:dlen,1:n_airfoils), &
	1766	turb_cd_table(1:dlen,1:n_airfoils) )
[1864]	1767
	1768	DO jj = 1,dlen+1
[2323]	1769	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1770	ENDDO
	1771
[1839]	1772	DO jj = 1,dlen
[2323]	1773	READ ( 90, * ) read_cl_cd
[1864]	1774	alpha_attack_tab(jj) = read_cl_cd(1)
[4447]	1775	DO ii= 1, n_airfoils
[1864]	1776	turb_cl_table(jj,ii) = read_cl_cd(ii*2)
	1777	turb_cd_table(jj,ii) = read_cl_cd(ii*2+1)
[1819]	1778	ENDDO
[1864]	1779
[1839]	1780	ENDDO
[1864]	1781
	1782	dlenbl = dlen
	1783
[2323]	1784	CLOSE ( 90 )
[1819]	1785
[1864]	1786	!
[4447]	1787	!-- For each possible radial position (resolution: 0.1 m --> 631 values if rotor_radius(1)=63m)
[2836]	1788	!-- and each possible angle of attack (resolution: 0.1 degrees --> 3601 values!)
[1864]	1789	!-- determine the lift and drag coefficient by interpolating between the
	1790	!-- tabulated values of each table (interpolate to current angle of attack)
	1791	!-- and between the tables (interpolate to current radial position):
[1839]	1792
[2836]	1793	ALLOCATE( turb_cl_sel1(1:dlenbl) )
	1794	ALLOCATE( turb_cl_sel2(1:dlenbl) )
	1795	ALLOCATE( turb_cd_sel1(1:dlenbl) )
	1796	ALLOCATE( turb_cd_sel2(1:dlenbl) )
[1819]	1797
[4447]	1798	radres = INT( rotor_radius(1) * 10.0_wp ) + 1_iwp
[1864]	1799	dlenbl_int = INT( 360.0_wp / accu_cl_cd_tab ) + 1_iwp
[1839]	1800
[2836]	1801	ALLOCATE( turb_cl_tab(1:dlenbl_int,1:radres) )
	1802	ALLOCATE( turb_cd_tab(1:dlenbl_int,1:radres) )
[1864]	1803
[2836]	1804	DO iir = 1, radres ! loop over radius
[1864]	1805
[2836]	1806	cur_r = ( iir - 1_iwp ) * 0.1_wp
	1807	!
	1808	!-- Find position in table 1
	1809	lct = MINLOC( ABS( trad1 - cur_r ) )
	1810	! lct(1) = lct(1)
[1864]	1811
[4144]	1812	IF ( ( trad1(lct(1)) - cur_r ) > 0.0 ) THEN
[2836]	1813	lct(1) = lct(1) - 1
	1814	ENDIF
[1864]	1815
[2836]	1816	trow = lct(1)
	1817	!
	1818	!-- Calculate weights for radius interpolation
	1819	weight_a = ( trad2(trow) - cur_r ) / ( trad2(trow) - trad1(trow) )
	1820	weight_b = ( cur_r - trad1(trow) ) / ( trad2(trow) - trad1(trow) )
	1821	t1 = ttoint1(trow)
	1822	t2 = ttoint2(trow)
[1864]	1823
[4144]	1824	IF ( t1 == t2 ) THEN ! if both are the same, the weights are NaN
	1825	weight_a = 0.5_wp ! then do interpolate in between same twice
	1826	weight_b = 0.5_wp ! using 0.5 as weight
[2836]	1827	ENDIF
	1828
	1829	IF ( t1 == 0 .AND. t2 == 0 ) THEN
	1830	turb_cd_sel1 = 0.0_wp
	1831	turb_cd_sel2 = 0.0_wp
	1832	turb_cl_sel1 = 0.0_wp
	1833	turb_cl_sel2 = 0.0_wp
	1834
[3593]	1835	turb_cd_tab(1,iir) = 0.0_wp ! For -180 degrees (iialpha=1) the values
[2836]	1836	turb_cl_tab(1,iir) = 0.0_wp ! for each radius has to be set
	1837	! explicitly
	1838	ELSE
	1839	turb_cd_sel1 = turb_cd_table(:,t1)
	1840	turb_cd_sel2 = turb_cd_table(:,t2)
	1841	turb_cl_sel1 = turb_cl_table(:,t1)
	1842	turb_cl_sel2 = turb_cl_table(:,t2)
	1843	!
[3593]	1844	!-- For -180 degrees (iialpha=1) the values for each radius has to be set
[2836]	1845	!-- explicitly
	1846	turb_cd_tab(1,iir) = ( weight_a * turb_cd_table(1,t1) + weight_b &
	1847	* turb_cd_table(1,t2) )
	1848	turb_cl_tab(1,iir) = ( weight_a * turb_cl_table(1,t1) + weight_b &
	1849	* turb_cl_table(1,t2) )
	1850	ENDIF
	1851
	1852	DO iialpha = 2, dlenbl_int ! loop over angles
	1853
[1864]	1854	alpha_attack_i = -180.0_wp + REAL( iialpha-1 ) * accu_cl_cd_tab
	1855	ialpha = 1
[2836]	1856
[4343]	1857	DO WHILE ( ( alpha_attack_i > alpha_attack_tab(ialpha) ) .AND. (ialpha < dlen ) )
[1864]	1858	ialpha = ialpha + 1
	1859	ENDDO
[1819]	1860
[1864]	1861	!
[1912]	1862	!-- Interpolation of lift and drag coefficiencts on fine grid of radius
	1863	!-- segments and angles of attack
[3182]	1864
[1912]	1865	turb_cl_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1866	alpha_attack_i ) / &
[1864]	1867	( alpha_attack_tab(ialpha) - &
	1868	alpha_attack_tab(ialpha-1) ) * &
	1869	( weight_a * turb_cl_sel1(ialpha-1) + &
	1870	weight_b * turb_cl_sel2(ialpha-1) ) +&
	1871	( alpha_attack_i - &
	1872	alpha_attack_tab(ialpha-1) ) / &
	1873	( alpha_attack_tab(ialpha) - &
	1874	alpha_attack_tab(ialpha-1) ) * &
	1875	( weight_a * turb_cl_sel1(ialpha) + &
	1876	weight_b * turb_cl_sel2(ialpha) )
[1912]	1877	turb_cd_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1878	alpha_attack_i ) / &
[1864]	1879	( alpha_attack_tab(ialpha) - &
	1880	alpha_attack_tab(ialpha-1) ) * &
	1881	( weight_a * turb_cd_sel1(ialpha-1) + &
	1882	weight_b * turb_cd_sel2(ialpha-1) ) +&
	1883	( alpha_attack_i - &
	1884	alpha_attack_tab(ialpha-1) ) / &
	1885	( alpha_attack_tab(ialpha) - &
	1886	alpha_attack_tab(ialpha-1) ) * &
	1887	( weight_a * turb_cd_sel1(ialpha) + &
	1888	weight_b * turb_cd_sel2(ialpha) )
[2836]	1889
[1912]	1890	ENDDO ! end loop over angles of attack
[2836]	1891
	1892	ENDDO ! end loop over radius
[1819]	1893
[2836]	1894
[1912]	1895	END SUBROUTINE wtm_read_blade_tables
[1819]	1896
	1897
[1864]	1898	!------------------------------------------------------------------------------!
	1899	! Description:
	1900	! ------------
	1901	!> The projection matrix for the coordinate system of therotor disc in respect
	1902	!> to the yaw and tilt angle of the rotor is calculated
	1903	!------------------------------------------------------------------------------!
	1904	SUBROUTINE wtm_rotate_rotor( inot )
[1819]	1905
[1864]	1906
	1907	IMPLICIT NONE
	1908
	1909	INTEGER(iwp) :: inot
	1910	!
	1911	!-- Calculation of the rotation matrix for the application of the tilt to
	1912	!-- the rotors
[4447]	1913	rot_eigen_rad(1) = SIN( yaw_angle(inot) ) ! x-component of the radial eigenvector
	1914	rot_eigen_rad(2) = COS( yaw_angle(inot) ) ! y-component of the radial eigenvector
[1864]	1915	rot_eigen_rad(3) = 0.0_wp ! z-component of the radial eigenvector
	1916
	1917	rot_eigen_azi(1) = 0.0_wp ! x-component of the azimuth eigenvector
	1918	rot_eigen_azi(2) = 0.0_wp ! y-component of the azimuth eigenvector
	1919	rot_eigen_azi(3) = 1.0_wp ! z-component of the azimuth eigenvector
	1920
[4447]	1921	rot_eigen_nor(1) = COS( yaw_angle(inot) ) ! x-component of the normal eigenvector
	1922	rot_eigen_nor(2) = -SIN( yaw_angle(inot) ) ! y-component of the normal eigenvector
[1864]	1923	rot_eigen_nor(3) = 0.0_wp ! z-component of the normal eigenvector
[1839]	1924
[1864]	1925	!
	1926	!-- Calculation of the coordinate transformation matrix to apply a tilt to
	1927	!-- the rotor. If tilt = 0, rot_coord_trans is a unit matrix.
[1819]	1928
[4465]	1929	rot_coord_trans(inot,1,1) = rot_eigen_rad(1)*2 &
[4447]	1930	( 1.0_wp - COS( tilt_angle ) ) + COS( tilt_angle )
[4465]	1931	rot_coord_trans(inot,1,2) = rot_eigen_rad(1) * rot_eigen_rad(2) * &
[4447]	1932	( 1.0_wp - COS( tilt_angle ) ) - &
	1933	rot_eigen_rad(3) * SIN( tilt_angle )
[4465]	1934	rot_coord_trans(inot,1,3) = rot_eigen_rad(1) * rot_eigen_rad(3) * &
[4447]	1935	( 1.0_wp - COS( tilt_angle ) ) + &
	1936	rot_eigen_rad(2) * SIN( tilt_angle )
[4465]	1937	rot_coord_trans(inot,2,1) = rot_eigen_rad(2) * rot_eigen_rad(1) * &
[4447]	1938	( 1.0_wp - COS( tilt_angle ) ) + &
	1939	rot_eigen_rad(3) * SIN( tilt_angle )
[4465]	1940	rot_coord_trans(inot,2,2) = rot_eigen_rad(2)*2 &
[4447]	1941	( 1.0_wp - COS( tilt_angle ) ) + COS( tilt_angle )
[4465]	1942	rot_coord_trans(inot,2,3) = rot_eigen_rad(2) * rot_eigen_rad(3) * &
[4447]	1943	( 1.0_wp - COS( tilt_angle ) ) - &
	1944	rot_eigen_rad(1) * SIN( tilt_angle )
[4465]	1945	rot_coord_trans(inot,3,1) = rot_eigen_rad(3) * rot_eigen_rad(1) * &
[4447]	1946	( 1.0_wp - COS( tilt_angle ) ) - &
	1947	rot_eigen_rad(2) * SIN( tilt_angle )
[4465]	1948	rot_coord_trans(inot,3,2) = rot_eigen_rad(3) * rot_eigen_rad(2) * &
[4447]	1949	( 1.0_wp - COS( tilt_angle ) ) + &
	1950	rot_eigen_rad(1) * SIN( tilt_angle )
[4465]	1951	rot_coord_trans(inot,3,3) = rot_eigen_rad(3)*2 &
[4447]	1952	( 1.0_wp - COS( tilt_angle ) ) + COS( tilt_angle )
[1839]	1953
[1864]	1954	!
	1955	!-- Vectors for the Transformation of forces from the rotor's spheric
	1956	!-- coordinate system to the cartesian coordinate system
	1957	rotx(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_nor )
	1958	roty(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_rad )
	1959	rotz(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_azi )
	1960
	1961	END SUBROUTINE wtm_rotate_rotor
[1839]	1962
	1963
[1819]	1964	!------------------------------------------------------------------------------!
	1965	! Description:
	1966	! ------------
[1839]	1967	!> Calculation of the forces generated by the wind turbine
[1819]	1968	!------------------------------------------------------------------------------!
	1969	SUBROUTINE wtm_forces
	1970
[1864]	1971
[1819]	1972	IMPLICIT NONE
	1973
	1974
[1839]	1975	INTEGER(iwp) :: i, j, k !< loop indices
	1976	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	1977	INTEGER(iwp) :: iialpha, iir !<
[3241]	1978	INTEGER(iwp) :: rseg !<
	1979	INTEGER(iwp) :: ring !<
[1839]	1980	INTEGER(iwp) :: ii, jj, kk !<
[4467]	1981
[2232]	1982	REAL(wp) :: flag !< flag to mask topography grid points
[1839]	1983	REAL(wp) :: sin_rot, cos_rot !<
	1984	REAL(wp) :: sin_yaw, cos_yaw !<
[4467]	1985
[1912]	1986	REAL(wp) :: aa, bb, cc, dd !< interpolation distances
	1987	REAL(wp) :: gg !< interpolation volume var
[4467]	1988
[1912]	1989	REAL(wp) :: dist_u_3d, dist_v_3d, dist_w_3d !< smearing distances
[4411]	1990
[1912]	1991
[1839]	1992	!
[1819]	1993	! Variables for pitch control
[3241]	1994	LOGICAL :: pitch_sw = .FALSE.
[1839]	1995
[3241]	1996	INTEGER(iwp), DIMENSION(1) :: lct = 0
	1997	REAL(wp), DIMENSION(1) :: rad_d = 0.0_wp
[2152]	1998
	1999	REAL(wp) :: tl_factor !< factor for tip loss correction
[1819]	2000
	2001
[1864]	2002	CALL cpu_log( log_point_s(61), 'wtm_forces', 'start' )
[1819]	2003
	2004
[4411]	2005	IF ( time_since_reference_point >= time_turbine_on ) THEN
[1819]	2006
[1864]	2007	!
[1819]	2008	!-- Set forces to zero for each new time step:
	2009	thrust(:,:,:) = 0.0_wp
	2010	torque_y(:,:,:) = 0.0_wp
	2011	torque_z(:,:,:) = 0.0_wp
	2012	torque_total(:) = 0.0_wp
[1912]	2013	rot_tend_x(:,:,:) = 0.0_wp
	2014	rot_tend_y(:,:,:) = 0.0_wp
	2015	rot_tend_z(:,:,:) = 0.0_wp
	2016	thrust_rotor(:) = 0.0_wp
[1819]	2017	!
	2018	!-- Loop over number of turbines:
[4447]	2019	DO inot = 1, n_turbines
[1819]	2020
[4447]	2021	cos_yaw = COS(yaw_angle(inot))
	2022	sin_yaw = SIN(yaw_angle(inot))
[1819]	2023	!
[1839]	2024	!-- Loop over rings of each turbine:
[3832]	2025
	2026	!$OMP PARALLEL PRIVATE (ring, rseg, thrust_seg, torque_seg_y, torque_seg_z, sin_rot, &
	2027	!$OMP& cos_rot, re, rbx, rby, rbz, ii, jj, kk, aa, bb, cc, dd, gg)
	2028	!$OMP DO
[1819]	2029	DO ring = 1, nrings(inot)
	2030
	2031	thrust_seg(:) = 0.0_wp
	2032	torque_seg_y(:) = 0.0_wp
	2033	torque_seg_z(:) = 0.0_wp
	2034	!
	2035	!-- Determine distance between each ring (center) and the hub:
	2036	cur_r = (ring - 0.5_wp) * delta_r(inot)
	2037
	2038	!
[1839]	2039	!-- Loop over segments of each ring of each turbine:
[1819]	2040	DO rseg = 1, nsegs(ring,inot)
	2041	!
[1864]	2042	!-- !-----------------------------------------------------------!
	2043	!-- !-- Determine coordinates of the ring segments --!
	2044	!-- !-----------------------------------------------------------!
[1819]	2045	!
[1864]	2046	!-- Determine angle of ring segment towards zero degree angle of
	2047	!-- rotor system (at zero degree rotor direction vectors aligned
	2048	!-- with y-axis):
[1819]	2049	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	2050	cos_rot = COS( phi_rotor )
	2051	sin_rot = SIN( phi_rotor )
	2052
[1864]	2053	!-- Now the direction vectors can be determined with respect to
	2054	!-- the yaw and tilt angle:
[1819]	2055	re(1) = cos_rot * sin_yaw
[1839]	2056	re(2) = cos_rot * cos_yaw
[1819]	2057	re(3) = sin_rot
	2058
	2059	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	2060	!
	2061	!-- Coordinates of the single segments (center points):
[4447]	2062	rbx(ring,rseg) = hub_x(inot) + cur_r * rote(1)
	2063	rby(ring,rseg) = hub_y(inot) + cur_r * rote(2)
	2064	rbz(ring,rseg) = hub_z(inot) + cur_r * rote(3)
[1819]	2065
[1864]	2066	!-- !-----------------------------------------------------------!
	2067	!-- !-- Interpolation of the velocity components from the --!
	2068	!-- !-- cartesian grid point to the coordinates of each ring --!
	2069	!-- !-- segment (follows a method used in the particle model) --!
	2070	!-- !-----------------------------------------------------------!
[1819]	2071
	2072	u_int(inot,ring,rseg) = 0.0_wp
	2073	u_int_1_l(inot,ring,rseg) = 0.0_wp
	2074
	2075	v_int(inot,ring,rseg) = 0.0_wp
	2076	v_int_1_l(inot,ring,rseg) = 0.0_wp
	2077
	2078	w_int(inot,ring,rseg) = 0.0_wp
	2079	w_int_1_l(inot,ring,rseg) = 0.0_wp
	2080
	2081	!
	2082	!-- Interpolation of the u-component:
	2083
	2084	ii = rbx(ring,rseg) * ddx
	2085	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[3065]	2086	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	2087	!
[1864]	2088	!-- Interpolate only if all required information is available on
	2089	!-- the current PE:
[1839]	2090	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	2091	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	2092
[1839]	2093	aa = ( ( ii + 1 ) * dx - rbx(ring,rseg) ) * &
	2094	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	2095	bb = ( rbx(ring,rseg) - ii * dx ) * &
	2096	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	2097	cc = ( ( ii+1 ) * dx - rbx(ring,rseg) ) * &
	2098	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	2099	dd = ( rbx(ring,rseg) - ii * dx ) * &
	2100	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	2101	gg = dx * dy
	2102
[1864]	2103	u_int_l = ( aa * u(kk,jj,ii) + &
	2104	bb * u(kk,jj,ii+1) + &
	2105	cc * u(kk,jj+1,ii) + &
	2106	dd * u(kk,jj+1,ii+1) &
[1819]	2107	) / gg
	2108
[1864]	2109	u_int_u = ( aa * u(kk+1,jj,ii) + &
	2110	bb * u(kk+1,jj,ii+1) + &
	2111	cc * u(kk+1,jj+1,ii) + &
	2112	dd * u(kk+1,jj+1,ii+1) &
[1819]	2113	) / gg
	2114
[1864]	2115	u_int_1_l(inot,ring,rseg) = u_int_l + &
[3065]	2116	( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
[1819]	2117	( u_int_u - u_int_l )
	2118
	2119	ELSE
	2120	u_int_1_l(inot,ring,rseg) = 0.0_wp
	2121	ENDIF
	2122	ELSE
	2123	u_int_1_l(inot,ring,rseg) = 0.0_wp
	2124	ENDIF
	2125
	2126
	2127	!
	2128	!-- Interpolation of the v-component:
	2129	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
[1839]	2130	jj = rby(ring,rseg) * ddy
[3065]	2131	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	2132	!
[1864]	2133	!-- Interpolate only if all required information is available on
	2134	!-- the current PE:
[1839]	2135	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	2136	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	2137
[1839]	2138	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	2139	( ( jj + 1 ) * dy - rby(ring,rseg) )
	2140	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	2141	( ( jj + 1 ) * dy - rby(ring,rseg) )
	2142	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	2143	( rby(ring,rseg) - jj * dy )
	2144	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	2145	( rby(ring,rseg) - jj * dy )
[1819]	2146	gg = dx * dy
	2147
[1864]	2148	v_int_l = ( aa * v(kk,jj,ii) + &
	2149	bb * v(kk,jj,ii+1) + &
	2150	cc * v(kk,jj+1,ii) + &
	2151	dd * v(kk,jj+1,ii+1) &
[1819]	2152	) / gg
	2153
[1864]	2154	v_int_u = ( aa * v(kk+1,jj,ii) + &
	2155	bb * v(kk+1,jj,ii+1) + &
	2156	cc * v(kk+1,jj+1,ii) + &
	2157	dd * v(kk+1,jj+1,ii+1) &
[1819]	2158	) / gg
	2159
[1864]	2160	v_int_1_l(inot,ring,rseg) = v_int_l + &
[3065]	2161	( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
[1819]	2162	( v_int_u - v_int_l )
	2163
	2164	ELSE
	2165	v_int_1_l(inot,ring,rseg) = 0.0_wp
	2166	ENDIF
	2167	ELSE
	2168	v_int_1_l(inot,ring,rseg) = 0.0_wp
	2169	ENDIF
	2170
	2171
	2172	!
	2173	!-- Interpolation of the w-component:
	2174	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
	2175	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[3065]	2176	kk = rbz(ring,rseg) / dz(1)
[1819]	2177	!
[1864]	2178	!-- Interpolate only if all required information is available on
	2179	!-- the current PE:
[1839]	2180	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	2181	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	2182
[1839]	2183	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	2184	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	2185	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	2186	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	2187	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	2188	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	2189	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	2190	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	2191	gg = dx * dy
	2192
[1864]	2193	w_int_l = ( aa * w(kk,jj,ii) + &
	2194	bb * w(kk,jj,ii+1) + &
	2195	cc * w(kk,jj+1,ii) + &
	2196	dd * w(kk,jj+1,ii+1) &
[1819]	2197	) / gg
	2198
[1864]	2199	w_int_u = ( aa * w(kk+1,jj,ii) + &
	2200	bb * w(kk+1,jj,ii+1) + &
	2201	cc * w(kk+1,jj+1,ii) + &
	2202	dd * w(kk+1,jj+1,ii+1) &
[1819]	2203	) / gg
	2204
[1864]	2205	w_int_1_l(inot,ring,rseg) = w_int_l + &
[3065]	2206	( rbz(ring,rseg) - zw(kk) ) / dz(1) * &
[1819]	2207	( w_int_u - w_int_l )
	2208	ELSE
	2209	w_int_1_l(inot,ring,rseg) = 0.0_wp
	2210	ENDIF
	2211	ELSE
	2212	w_int_1_l(inot,ring,rseg) = 0.0_wp
	2213	ENDIF
	2214
	2215	ENDDO
	2216	ENDDO
[3832]	2217	!$OMP END PARALLEL
[1819]	2218
	2219	ENDDO
	2220
	2221	!
	2222	!-- Exchange between PEs (information required on each PE):
	2223	#if defined( __parallel )
[4447]	2224	CALL MPI_ALLREDUCE( u_int_1_l, u_int, n_turbines * MAXVAL(nrings) * &
[1839]	2225	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
[4447]	2226	CALL MPI_ALLREDUCE( v_int_1_l, v_int, n_turbines * MAXVAL(nrings) * &
[1839]	2227	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
[4447]	2228	CALL MPI_ALLREDUCE( w_int_1_l, w_int, n_turbines * MAXVAL(nrings) * &
[1839]	2229	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
[1819]	2230	#else
	2231	u_int = u_int_1_l
	2232	v_int = v_int_1_l
	2233	w_int = w_int_1_l
	2234	#endif
	2235
	2236
	2237	!
	2238	!-- Loop over number of turbines:
[1912]	2239
[4447]	2240	DO inot = 1, n_turbines
[1912]	2241	pit_loop: DO
[1819]	2242
[1912]	2243	IF ( pitch_sw ) THEN
[1839]	2244	torque_total(inot) = 0.0_wp
[1912]	2245	thrust_rotor(inot) = 0.0_wp
[4447]	2246	pitch_angle(inot) = pitch_angle(inot) + 0.25_wp
	2247	! IF ( myid == 0 ) PRINT*, 'Pitch', inot, pitch_angle(inot)
[1912]	2248	ELSE
[4447]	2249	cos_yaw = COS(yaw_angle(inot))
	2250	sin_yaw = SIN(yaw_angle(inot))
[1912]	2251	IF ( pitch_control ) THEN
[4447]	2252	pitch_angle(inot) = MAX(pitch_angle_old(inot) - pitch_rate * &
[1912]	2253	dt_3d , 0.0_wp )
	2254	ENDIF
[1819]	2255	ENDIF
	2256
[1839]	2257	!
	2258	!-- Loop over rings of each turbine:
[3832]	2259	!$OMP PARALLEL PRIVATE (ring, rseg, sin_rot, cos_rot, re, rea, ren, rote, rota, rotn, &
	2260	!$OMP& vtheta, phi_rel, lct, rad_d, alpha_attack, vrel, &
	2261	!$OMP& chord, iialpha, iir, turb_cl, tl_factor, thrust_seg, &
	2262	!$OMP& torque_seg_y, turb_cd, torque_seg_z, thrust_ring, &
	2263	!$OMP& torque_ring_y, torque_ring_z)
	2264	!$OMP DO
[1819]	2265	DO ring = 1, nrings(inot)
	2266	!
	2267	!-- Determine distance between each ring (center) and the hub:
	2268	cur_r = (ring - 0.5_wp) * delta_r(inot)
[1839]	2269	!
	2270	!-- Loop over segments of each ring of each turbine:
[1819]	2271	DO rseg = 1, nsegs(ring,inot)
	2272	!
[1839]	2273	!-- Determine angle of ring segment towards zero degree angle of
	2274	!-- rotor system (at zero degree rotor direction vectors aligned
	2275	!-- with y-axis):
[1819]	2276	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	2277	cos_rot = COS(phi_rotor)
	2278	sin_rot = SIN(phi_rotor)
	2279	!
[1839]	2280	!-- Now the direction vectors can be determined with respect to
	2281	!-- the yaw and tilt angle:
[1819]	2282	re(1) = cos_rot * sin_yaw
	2283	re(2) = cos_rot * cos_yaw
	2284	re(3) = sin_rot
	2285
[1864]	2286	! The current unit vector in azimuthal direction:
[1819]	2287	rea(1) = - sin_rot * sin_yaw
	2288	rea(2) = - sin_rot * cos_yaw
	2289	rea(3) = cos_rot
	2290
	2291	!
[1864]	2292	!-- To respect the yawing angle for the calculations of
	2293	!-- velocities and forces the unit vectors perpendicular to the
	2294	!-- rotor area in direction of the positive yaw angle are defined:
[1819]	2295	ren(1) = cos_yaw
	2296	ren(2) = - sin_yaw
	2297	ren(3) = 0.0_wp
	2298	!
	2299	!-- Multiplication with the coordinate transformation matrix
[1864]	2300	!-- gives the final unit vector with consideration of the rotor
	2301	!-- tilt:
[1819]	2302	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	2303	rota = MATMUL( rot_coord_trans(inot,:,:), rea )
	2304	rotn = MATMUL( rot_coord_trans(inot,:,:), ren )
	2305	!
	2306	!-- Coordinates of the single segments (center points):
[4447]	2307	rbx(ring,rseg) = hub_x(inot) + cur_r * rote(1)
[1819]	2308
[4447]	2309	rby(ring,rseg) = hub_y(inot) + cur_r * rote(2)
[1819]	2310
[4447]	2311	rbz(ring,rseg) = hub_z(inot) + cur_r * rote(3)
[1819]	2312
	2313	!
[1864]	2314	!-- !-----------------------------------------------------------!
	2315	!-- !-- Calculation of various angles and relative velocities --!
	2316	!-- !-----------------------------------------------------------!
[1819]	2317	!
[1864]	2318	!-- In the following the 3D-velocity field is projected its
[2553]	2319	!-- components perpendicular and parallel to the rotor area
[1819]	2320	!-- The calculation of forces will be done in the rotor-
	2321	!-- coordinates y' and z.
	2322	!-- The yaw angle will be reintroduced when the force is applied
	2323	!-- on the hydrodynamic equations
[1864]	2324	!
	2325	!-- Projection of the xy-velocities relative to the rotor area
	2326	!
[1819]	2327	!-- Velocity perpendicular to the rotor area:
[1864]	2328	u_rot = u_int(inot,ring,rseg)*rotn(1) + &
	2329	v_int(inot,ring,rseg)*rotn(2) + &
[1819]	2330	w_int(inot,ring,rseg)*rotn(3)
	2331	!
[1864]	2332	!-- Projection of the 3D-velocity vector in the azimuthal
	2333	!-- direction:
	2334	vtheta(rseg) = rota(1) * u_int(inot,ring,rseg) + &
	2335	rota(2) * v_int(inot,ring,rseg) + &
[1819]	2336	rota(3) * w_int(inot,ring,rseg)
	2337	!
[1864]	2338	!-- Determination of the angle phi_rel between the rotor plane
	2339	!-- and the direction of the flow relative to the rotor:
[1819]	2340
[4434]	2341	phi_rel(rseg) = ATAN2( u_rot , &
[4447]	2342	( rotor_speed(inot) * cur_r - &
[1819]	2343	vtheta(rseg) ) )
	2344
	2345	!
[1864]	2346	!-- Interpolation of the local pitch angle from tabulated values
	2347	!-- to the current radial position:
[1819]	2348
	2349	lct=minloc(ABS(cur_r-lrd))
	2350	rad_d=cur_r-lrd(lct)
	2351
	2352	IF (cur_r == 0.0_wp) THEN
	2353	alpha_attack(rseg) = 0.0_wp
	2354	ELSE IF (cur_r >= lrd(size(ard))) THEN
[1864]	2355	alpha_attack(rseg) = ( ard(size(ard)) + &
	2356	ard(size(ard)-1) ) / 2.0_wp
[1819]	2357	ELSE
[1864]	2358	alpha_attack(rseg) = ( ard(lct(1)) * &
	2359	( ( lrd(lct(1)+1) - cur_r ) / &
	2360	( lrd(lct(1)+1) - lrd(lct(1)) ) &
	2361	) ) + ( ard(lct(1)+1) * &
	2362	( ( cur_r - lrd(lct(1)) ) / &
	2363	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2364	ENDIF
	2365
	2366	!
[1864]	2367	!-- In Fortran radian instead of degree is used as unit for all
	2368	!-- angles. Therefore, a transformation from angles given in
	2369	!-- degree to angles given in radian is necessary here:
	2370	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2371	( (2.0_wp*pi) / 360.0_wp )
	2372	!
[1864]	2373	!-- Substraction of the local pitch angle to obtain the local
	2374	!-- angle of attack:
[1819]	2375	alpha_attack(rseg) = phi_rel(rseg) - alpha_attack(rseg)
	2376	!
[1864]	2377	!-- Preliminary transformation back from angles given in radian
	2378	!-- to angles given in degree:
	2379	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2380	( 360.0_wp / (2.0_wp*pi) )
	2381	!
[1864]	2382	!-- Correct with collective pitch angle:
[4447]	2383	alpha_attack(rseg) = alpha_attack(rseg) - pitch_angle(inot)
[1819]	2384
	2385	!
[1864]	2386	!-- Determination of the magnitude of the flow velocity relative
	2387	!-- to the rotor:
[1912]	2388	vrel(rseg) = SQRT( u_rot**2 + &
[4447]	2389	( rotor_speed(inot) * cur_r - &
[1819]	2390	vtheta(rseg) )**2 )
	2391
	2392	!
[1864]	2393	!-- !-----------------------------------------------------------!
	2394	!-- !-- Interpolation of chord as well as lift and drag --!
	2395	!-- !-- coefficients from tabulated values --!
	2396	!-- !-----------------------------------------------------------!
[1819]	2397
	2398	!
[1864]	2399	!-- Interpolation of the chord_length from tabulated values to
	2400	!-- the current radial position:
[1819]	2401
	2402	IF (cur_r == 0.0_wp) THEN
	2403	chord(rseg) = 0.0_wp
	2404	ELSE IF (cur_r >= lrd(size(crd))) THEN
[1864]	2405	chord(rseg) = (crd(size(crd)) + ard(size(crd)-1)) / 2.0_wp
[1819]	2406	ELSE
[1864]	2407	chord(rseg) = ( crd(lct(1)) * &
	2408	( ( lrd(lct(1)+1) - cur_r ) / &
	2409	( lrd(lct(1)+1) - lrd(lct(1)) ) ) ) + &
	2410	( crd(lct(1)+1) * &
	2411	( ( cur_r-lrd(lct(1)) ) / &
	2412	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2413	ENDIF
	2414
	2415	!
	2416	!-- Determine index of current angle of attack, needed for
[1864]	2417	!-- finding the appropriate interpolated values of the lift and
[2836]	2418	!-- drag coefficients (-180.0 degrees = 1, +180.0 degrees = 3601,
	2419	!-- so one index every 0.1 degrees):
[1864]	2420	iialpha = CEILING( ( alpha_attack(rseg) + 180.0_wp ) &
[2836]	2421	* ( 1.0_wp / accu_cl_cd_tab ) ) + 1.0_wp
[1819]	2422	!
	2423	!-- Determine index of current radial position, needed for
[1864]	2424	!-- finding the appropriate interpolated values of the lift and
	2425	!-- drag coefficients (one index every 0.1 m):
[1819]	2426	iir = CEILING( cur_r * 10.0_wp )
	2427	!
[1864]	2428	!-- Read in interpolated values of the lift and drag coefficients
	2429	!-- for the current radial position and angle of attack:
[1839]	2430	turb_cl(rseg) = turb_cl_tab(iialpha,iir)
	2431	turb_cd(rseg) = turb_cd_tab(iialpha,iir)
[1819]	2432
	2433	!
[1864]	2434	!-- Final transformation back from angles given in degree to
	2435	!-- angles given in radian:
	2436	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2437	( (2.0_wp*pi) / 360.0_wp )
	2438
[4447]	2439	IF ( tip_loss_correction ) THEN
[4465]	2440	!
[2152]	2441	!-- Tip loss correction following Schito
	2442	!-- Schito applies the tip loss correction only to the lift force
	2443	!-- Therefore, the tip loss correction is only applied to the lift
	2444	!-- coefficient and not to the drag coefficient in our case
[4465]	2445	!--
[4459]	2446	IF ( phi_rel(rseg) == 0.0_wp ) THEN
	2447	tl_factor = 1.0_wp
	2448	ELSE
[4465]	2449	tl_factor = ( 2.0 / pi ) * &
	2450	ACOS( EXP( -1.0 * ( 3.0 * ( rotor_radius(inot) - cur_r ) / &
[4459]	2451	( 2.0 * cur_r * abs( sin( phi_rel(rseg) ) ) ) ) ) )
	2452	ENDIF
[4465]	2453
	2454	turb_cl(rseg) = tl_factor * turb_cl(rseg)
	2455
	2456	ENDIF
[1819]	2457	!
	2458	!-- !-----------------------------------------------------!
	2459	!-- !-- Calculation of the forces --!
	2460	!-- !-----------------------------------------------------!
	2461
	2462	!
[1864]	2463	!-- Calculate the pre_factor for the thrust and torque forces:
[1819]	2464
	2465	pre_factor = 0.5_wp * (vrel(rseg)*2) 3.0_wp * &
	2466	chord(rseg) * delta_r(inot) / nsegs(ring,inot)
	2467
	2468	!
[1864]	2469	!-- Calculate the thrust force (x-component of the total force)
	2470	!-- for each ring segment:
	2471	thrust_seg(rseg) = pre_factor * &
	2472	( turb_cl(rseg) * COS(phi_rel(rseg)) + &
	2473	turb_cd(rseg) * SIN(phi_rel(rseg)) )
[1819]	2474
	2475	!
[1864]	2476	!-- Determination of the second of the additional forces acting
	2477	!-- on the flow in the azimuthal direction: force vector as basis
	2478	!-- for torque (torque itself would be the vector product of the
	2479	!-- radius vector and the force vector):
	2480	torque_seg = pre_factor * &
	2481	( turb_cl(rseg) * SIN(phi_rel(rseg)) - &
[1839]	2482	turb_cd(rseg) * COS(phi_rel(rseg)) )
[1819]	2483	!
	2484	!-- Decomposition of the force vector into two parts:
[1864]	2485	!-- One acting along the y-direction and one acting along the
	2486	!-- z-direction of the rotor coordinate system:
[1819]	2487
	2488	torque_seg_y(rseg) = -torque_seg * sin_rot
	2489	torque_seg_z(rseg) = torque_seg * cos_rot
	2490
[1912]	2491	!
	2492	!-- Add the segment thrust to the thrust of the whole rotor
[3832]	2493	!$OMP CRITICAL
[1912]	2494	thrust_rotor(inot) = thrust_rotor(inot) + &
[4465]	2495	thrust_seg(rseg)
[1912]	2496
[4465]	2497
[1819]	2498	torque_total(inot) = torque_total(inot) + (torque_seg * cur_r)
[3832]	2499	!$OMP END CRITICAL
[1819]	2500
[1864]	2501	ENDDO !-- end of loop over ring segments
[1819]	2502
	2503	!
[1864]	2504	!-- Restore the forces into arrays containing all the segments of
	2505	!-- each ring:
[1819]	2506	thrust_ring(ring,:) = thrust_seg(:)
	2507	torque_ring_y(ring,:) = torque_seg_y(:)
	2508	torque_ring_z(ring,:) = torque_seg_z(:)
	2509
	2510
[1864]	2511	ENDDO !-- end of loop over rings
[3832]	2512	!$OMP END PARALLEL
[1819]	2513
	2514
[1864]	2515	CALL cpu_log( log_point_s(62), 'wtm_controller', 'start' )
[1819]	2516
[4465]	2517
[1912]	2518	IF ( speed_control ) THEN
	2519	!
	2520	!-- Calculation of the current generator speed for rotor speed control
[4465]	2521
	2522	!
[1912]	2523	!-- The acceleration of the rotor speed is calculated from
	2524	!-- the force balance of the accelerating torque
	2525	!-- and the torque of the rotating rotor and generator
[4447]	2526	om_rate = ( torque_total(inot) * air_density * gear_efficiency - &
	2527	gear_ratio * torque_gen_old(inot) ) / &
	2528	( rotor_inertia + &
	2529	gear_ratio * gear_ratio * generator_inertia ) * dt_3d
[1819]	2530
[1912]	2531	!
	2532	!-- The generator speed is given by the product of gear gear_ratio
	2533	!-- and rotor speed
[4447]	2534	generator_speed(inot) = gear_ratio * ( rotor_speed(inot) + om_rate )
[4465]	2535
[1912]	2536	ENDIF
[4465]	2537
[1864]	2538	IF ( pitch_control ) THEN
[1819]	2539
[1912]	2540	!
	2541	!-- If the current generator speed is above rated, the pitch is not
	2542	!-- saturated and the change from the last time step is within the
	2543	!-- maximum pitch rate, then the pitch loop is repeated with a pitch
	2544	!-- gain
[4447]	2545	IF ( ( generator_speed(inot) > generator_speed_rated ) .AND. &
	2546	( pitch_angle(inot) < 25.0_wp ) .AND. &
	2547	( pitch_angle(inot) < pitch_angle_old(inot) + &
[1912]	2548	pitch_rate * dt_3d ) ) THEN
[1864]	2549	pitch_sw = .TRUE.
[1912]	2550	!
	2551	!-- Go back to beginning of pit_loop
	2552	CYCLE pit_loop
[1819]	2553	ENDIF
[4465]	2554
[1912]	2555	!
	2556	!-- The current pitch is saved for the next time step
[4447]	2557	pitch_angle_old(inot) = pitch_angle(inot)
[1864]	2558	pitch_sw = .FALSE.
[1819]	2559	ENDIF
[1912]	2560	EXIT pit_loop
	2561	ENDDO pit_loop ! Recursive pitch control loop
[1819]	2562
[1864]	2563
[1819]	2564	!
[1864]	2565	!-- Call the rotor speed controller
[4465]	2566
[1819]	2567	IF ( speed_control ) THEN
	2568	!
[1864]	2569	!-- Find processor at i_hub, j_hub
[1912]	2570	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2571	THEN
	2572	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2573	THEN
[1864]	2574	CALL wtm_speed_control( inot )
	2575	ENDIF
[1912]	2576	ENDIF
[4465]	2577
[1819]	2578	ENDIF
	2579
	2580
[1864]	2581	CALL cpu_log( log_point_s(62), 'wtm_controller', 'stop' )
[1819]	2582
[1864]	2583	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'start' )
[1819]	2584
	2585
[1864]	2586	!-- !-----------------------------------------------------------------!
	2587	!-- !-- Regularization kernel --!
	2588	!-- !-- Smearing of the forces and interpolation to cartesian grid --!
	2589	!-- !-----------------------------------------------------------------!
[1819]	2590	!
[1864]	2591	!-- The aerodynamic blade forces need to be distributed smoothly on
	2592	!-- several mesh points in order to avoid singular behaviour
[1819]	2593	!
	2594	!-- Summation over sum of weighted forces. The weighting factor
[1864]	2595	!-- (calculated in user_init) includes information on the distance
	2596	!-- between the center of the grid cell and the rotor segment under
	2597	!-- consideration
[1819]	2598	!
[1864]	2599	!-- To save computing time, apply smearing only for the relevant part
	2600	!-- of the model domain:
[1819]	2601	!
	2602	!--
	2603	!-- Calculation of the boundaries:
[4447]	2604	i_smear(inot) = CEILING( ( rotor_radius(inot) * ABS( roty(inot,1) ) + &
[1864]	2605	eps_min ) / dx )
[4447]	2606	j_smear(inot) = CEILING( ( rotor_radius(inot) * ABS( roty(inot,2) ) + &
[1864]	2607	eps_min ) / dy )
[1819]	2608
[3832]	2609	!$OMP PARALLEL PRIVATE (i, j, k, ring, rseg, flag, dist_u_3d, dist_v_3d, dist_w_3d)
	2610	!$OMP DO
[1864]	2611	DO i = MAX( nxl, i_hub(inot) - i_smear(inot) ), &
[1819]	2612	MIN( nxr, i_hub(inot) + i_smear(inot) )
[1864]	2613	DO j = MAX( nys, j_hub(inot) - j_smear(inot) ), &
[1819]	2614	MIN( nyn, j_hub(inot) + j_smear(inot) )
[2232]	2615	! DO k = MAX( nzb_u_inner(j,i)+1, k_hub(inot) - k_smear(inot) ), &
	2616	! k_hub(inot) + k_smear(inot)
	2617	DO k = nzb+1, k_hub(inot) + k_smear(inot)
[1819]	2618	DO ring = 1, nrings(inot)
	2619	DO rseg = 1, nsegs(ring,inot)
	2620	!
[2232]	2621	!-- Predetermine flag to mask topography
[4346]	2622	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 1 ) )
[4465]	2623
[2232]	2624	!
[1819]	2625	!-- Determine the square of the distance between the
	2626	!-- current grid point and each rotor area segment:
[1864]	2627	dist_u_3d = ( i * dx - rbx(ring,rseg) )**2 + &
	2628	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
[3065]	2629	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1864]	2630	dist_v_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2631	( j * dy - rby(ring,rseg) )**2 + &
[3065]	2632	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1864]	2633	dist_w_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2634	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
[3065]	2635	( k * dz(1) - rbz(ring,rseg) )**2
[1819]	2636
	2637	!
	2638	!-- 3D-smearing of the forces with a polynomial function
	2639	!-- (much faster than the old Gaussian function), using
	2640	!-- some parameters that have been calculated in user_init.
	2641	!-- The function is only similar to Gaussian function for
	2642	!-- squared distances <= eps_min2:
	2643	IF ( dist_u_3d <= eps_min2 ) THEN
[2232]	2644	thrust(k,j,i) = thrust(k,j,i) + &
	2645	thrust_ring(ring,rseg) * &
	2646	( ( pol_a * dist_u_3d - pol_b ) * &
	2647	dist_u_3d + 1.0_wp ) * eps_factor *&
	2648	flag
[1819]	2649	ENDIF
	2650	IF ( dist_v_3d <= eps_min2 ) THEN
[2232]	2651	torque_y(k,j,i) = torque_y(k,j,i) + &
	2652	torque_ring_y(ring,rseg) * &
	2653	( ( pol_a * dist_v_3d - pol_b ) * &
	2654	dist_v_3d + 1.0_wp ) * eps_factor * &
	2655	flag
[1819]	2656	ENDIF
	2657	IF ( dist_w_3d <= eps_min2 ) THEN
[2232]	2658	torque_z(k,j,i) = torque_z(k,j,i) + &
	2659	torque_ring_z(ring,rseg) * &
	2660	( ( pol_a * dist_w_3d - pol_b ) * &
	2661	dist_w_3d + 1.0_wp ) * eps_factor * &
	2662	flag
[1819]	2663	ENDIF
	2664
	2665	ENDDO ! End of loop over rseg
	2666	ENDDO ! End of loop over ring
[4465]	2667
[1819]	2668	!
	2669	!-- Rotation of force components:
[2232]	2670	rot_tend_x(k,j,i) = rot_tend_x(k,j,i) + ( &
[1864]	2671	thrust(k,j,i)*rotx(inot,1) + &
	2672	torque_y(k,j,i)*roty(inot,1) + &
[2232]	2673	torque_z(k,j,i)*rotz(inot,1) &
	2674	) * flag
[4465]	2675
[2232]	2676	rot_tend_y(k,j,i) = rot_tend_y(k,j,i) + ( &
[1864]	2677	thrust(k,j,i)*rotx(inot,2) + &
	2678	torque_y(k,j,i)*roty(inot,2) + &
[2232]	2679	torque_z(k,j,i)*rotz(inot,2) &
	2680	) * flag
[4465]	2681
[2232]	2682	rot_tend_z(k,j,i) = rot_tend_z(k,j,i) + ( &
[1864]	2683	thrust(k,j,i)*rotx(inot,3) + &
	2684	torque_y(k,j,i)*roty(inot,3) + &
[2232]	2685	torque_z(k,j,i)*rotz(inot,3) &
	2686	) * flag
[1819]	2687
	2688	ENDDO ! End of loop over k
	2689	ENDDO ! End of loop over j
	2690	ENDDO ! End of loop over i
[3832]	2691	!$OMP END PARALLEL
[1819]	2692
[1864]	2693	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'stop' )
[4465]	2694
[1912]	2695	ENDDO !-- end of loop over turbines
[1819]	2696
[4465]	2697
[1819]	2698	IF ( yaw_control ) THEN
	2699	!
	2700	!-- Allocate arrays for yaw control at first call
	2701	!-- Can't be allocated before dt_3d is set
	2702	IF ( start_up ) THEN
[4434]	2703	WDLON = MAX( 1 , NINT( 30.0_wp / dt_3d ) ) ! 30s running mean array
[4447]	2704	ALLOCATE( wd30(1:n_turbines,1:WDLON) )
[1912]	2705	wd30 = 999.0_wp ! Set to dummy value
[1819]	2706	ALLOCATE( wd30_l(1:WDLON) )
[4465]	2707
[4434]	2708	WDSHO = MAX( 1 , NINT( 2.0_wp / dt_3d ) ) ! 2s running mean array
[4447]	2709	ALLOCATE( wd2(1:n_turbines,1:WDSHO) )
[1912]	2710	wd2 = 999.0_wp ! Set to dummy value
[1819]	2711	ALLOCATE( wd2_l(1:WDSHO) )
	2712	start_up = .FALSE.
[4465]	2713	ENDIF
[1819]	2714
	2715	!
	2716	!-- Calculate the inflow wind speed
	2717	!--
	2718	!-- Loop over number of turbines:
[4447]	2719	DO inot = 1, n_turbines
[1819]	2720	!
	2721	!-- Find processor at i_hub, j_hub
[1912]	2722	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2723	THEN
	2724	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2725	THEN
[1864]	2726
[1819]	2727	u_inflow_l(inot) = u(k_hub(inot),j_hub(inot),i_hub(inot))
[1864]	2728
[1912]	2729	wdir_l(inot) = -1.0_wp * ATAN2( &
	2730	0.5_wp * ( v(k_hub(inot),j_hub(inot),i_hub(inot)+1) + &
	2731	v(k_hub(inot),j_hub(inot),i_hub(inot)) ) , &
	2732	0.5_wp * ( u(k_hub(inot),j_hub(inot)+1,i_hub(inot)) + &
	2733	u(k_hub(inot),j_hub(inot),i_hub(inot)) ) )
[1864]	2734
	2735	CALL wtm_yawcontrol( inot )
	2736
[4447]	2737	yaw_angle_l(inot) = yaw_angle(inot)
[4465]	2738
[1819]	2739	ENDIF
	2740	ENDIF
[4465]	2741
[1864]	2742	ENDDO !-- end of loop over turbines
	2743
	2744	!
[1929]	2745	!-- Transfer of information to the other cpus
	2746	#if defined( __parallel )
[4447]	2747	CALL MPI_ALLREDUCE( u_inflow_l, u_inflow, n_turbines, MPI_REAL, &
[1864]	2748	MPI_SUM, comm2d, ierr )
[4447]	2749	CALL MPI_ALLREDUCE( wdir_l, wdir, n_turbines, MPI_REAL, MPI_SUM, &
[1864]	2750	comm2d, ierr )
[4447]	2751	CALL MPI_ALLREDUCE( yaw_angle_l, yaw_angle, n_turbines, MPI_REAL, &
[1864]	2752	MPI_SUM, comm2d, ierr )
[1929]	2753	#else
	2754	u_inflow = u_inflow_l
	2755	wdir = wdir_l
[4447]	2756	yaw_angle = yaw_angle_l
[4465]	2757
[1929]	2758	#endif
[4447]	2759	DO inot = 1, n_turbines
[4465]	2760	!
	2761	!-- Update rotor orientation
[1864]	2762	CALL wtm_rotate_rotor( inot )
[1819]	2763
	2764	ENDDO ! End of loop over turbines
[4465]	2765
[2894]	2766	ENDIF ! end of yaw control
[4465]	2767
[1864]	2768	IF ( speed_control ) THEN
	2769	!
	2770	!-- Transfer of information to the other cpus
[4447]	2771	! CALL MPI_ALLREDUCE( generator_speed, generator_speed_old, n_turbines, &
[1912]	2772	! MPI_REAL,MPI_SUM, comm2d, ierr )
[1929]	2773	#if defined( __parallel )
[4447]	2774	CALL MPI_ALLREDUCE( torque_gen, torque_gen_old, n_turbines, &
[1864]	2775	MPI_REAL, MPI_SUM, comm2d, ierr )
[4447]	2776	CALL MPI_ALLREDUCE( rotor_speed_l, rotor_speed, n_turbines, &
[1864]	2777	MPI_REAL, MPI_SUM, comm2d, ierr )
[4447]	2778	CALL MPI_ALLREDUCE( generator_speed_f, generator_speed_f_old, n_turbines, &
[1912]	2779	MPI_REAL, MPI_SUM, comm2d, ierr )
[1929]	2780	#else
	2781	torque_gen_old = torque_gen
[4447]	2782	rotor_speed = rotor_speed_l
	2783	generator_speed_f_old = generator_speed_f
[1929]	2784	#endif
[4465]	2785
[1864]	2786	ENDIF
[1819]	2787
[4465]	2788	ENDIF
[1819]	2789
[1864]	2790	CALL cpu_log( log_point_s(61), 'wtm_forces', 'stop' )
[1819]	2791
	2792
	2793	END SUBROUTINE wtm_forces
	2794
[4465]	2795
[1839]	2796	!------------------------------------------------------------------------------!
	2797	! Description:
	2798	! ------------
	2799	!> Yaw controller for the wind turbine model
	2800	!------------------------------------------------------------------------------!
	2801	SUBROUTINE wtm_yawcontrol( inot )
[4465]	2802
[1819]	2803	USE kinds
[4465]	2804
[1839]	2805	IMPLICIT NONE
[4465]	2806
[1819]	2807	INTEGER(iwp) :: inot
	2808	INTEGER(iwp) :: i_wd_30
	2809	REAL(wp) :: missal
	2810
	2811	i_wd_30 = 0_iwp
	2812
	2813	!
[1864]	2814	!-- The yaw controller computes a 30s running mean of the wind direction.
	2815	!-- If the difference between turbine alignment and wind direction exceeds
[3593]	2816	!-- 5 degrees, the turbine is yawed. The mechanism stops as soon as the 2s-running
	2817	!-- mean of the missalignment is smaller than 0.5 degrees.
[1864]	2818	!-- Attention: If the timestep during the simulation changes significantly
	2819	!-- the lengths of the running means change and it does not correspond to
	2820	!-- 30s/2s anymore.
	2821	!-- ! Needs to be modified for these situations !
	2822	!-- For wind from the east, the averaging of the wind direction could cause
	2823	!-- problems and the yaw controller is probably flawed. -> Routine for
	2824	!-- averaging needs to be improved!
	2825	!
	2826	!-- Check if turbine is not yawing
[1819]	2827	IF ( .NOT. doyaw(inot) ) THEN
[1843]	2828	!
[1864]	2829	!-- Write current wind direction into array
[1843]	2830	wd30_l = wd30(inot,:)
	2831	wd30_l = CSHIFT( wd30_l, SHIFT=-1 )
[1819]	2832	wd30_l(1) = wdir(inot)
[1843]	2833	!
[1864]	2834	!-- Check if array is full ( no more dummies )
[1819]	2835	IF ( .NOT. ANY( wd30_l == 999.) ) THEN
	2836
[4447]	2837	missal = SUM( wd30_l ) / SIZE( wd30_l ) - yaw_angle(inot)
[1819]	2838	!
[4447]	2839	!-- Check if turbine is missaligned by more than yaw_misalignment_max
	2840	IF ( ABS( missal ) > yaw_misalignment_max ) THEN
[1843]	2841	!
[1864]	2842	!-- Check in which direction to yaw
[1843]	2843	yawdir(inot) = SIGN( 1.0_wp, missal )
[1819]	2844	!
[1864]	2845	!-- Start yawing of turbine
[4447]	2846	yaw_angle(inot) = yaw_angle(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2847	doyaw(inot) = .TRUE.
[1864]	2848	wd30_l = 999. ! fill with dummies again
[1819]	2849	ENDIF
	2850	ENDIF
[4465]	2851
[1819]	2852	wd30(inot,:) = wd30_l
	2853
[4465]	2854	!
[1864]	2855	!-- If turbine is already yawing:
	2856	!-- Initialize 2 s running mean and yaw until the missalignment is smaller
[4447]	2857	!-- than yaw_misalignment_min
[1819]	2858
	2859	ELSE
	2860	!
	2861	!-- Initialize 2 s running mean
	2862	wd2_l = wd2(inot,:)
[1864]	2863	wd2_l = CSHIFT( wd2_l, SHIFT = -1 )
[1819]	2864	wd2_l(1) = wdir(inot)
[4465]	2865	!
[1864]	2866	!-- Check if array is full ( no more dummies )
	2867	IF ( .NOT. ANY( wd2_l == 999.0_wp ) ) THEN
	2868	!
	2869	!-- Calculate missalignment of turbine
[4447]	2870	missal = SUM( wd2_l - yaw_angle(inot) ) / SIZE( wd2_l )
[1864]	2871	!
	2872	!-- Check if missalignment is still larger than 0.5 degree and if the
	2873	!-- yaw direction is still right
[4447]	2874	IF ( ( ABS( missal ) > yaw_misalignment_min ) .AND. &
[1864]	2875	( yawdir(inot) == SIGN( 1.0_wp, missal ) ) ) THEN
	2876	!
	2877	!-- Continue yawing
[4447]	2878	yaw_angle(inot) = yaw_angle(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2879	ELSE
[1864]	2880	!
	2881	!-- Stop yawing
[1819]	2882	doyaw(inot) = .FALSE.
[1864]	2883	wd2_l = 999.0_wp ! fill with dummies again
[1819]	2884	ENDIF
	2885	ELSE
[1864]	2886	!
	2887	!-- Continue yawing
[4447]	2888	yaw_angle(inot) = yaw_angle(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2889	ENDIF
[4465]	2890
[1819]	2891	wd2(inot,:) = wd2_l
[4465]	2892
[1819]	2893	ENDIF
[4465]	2894
[1839]	2895	END SUBROUTINE wtm_yawcontrol
[1819]	2896
[1864]	2897
[1819]	2898	!------------------------------------------------------------------------------!
	2899	! Description:
	2900	! ------------
[1864]	2901	!> Initialization of the speed control
	2902	!------------------------------------------------------------------------------!
	2903	SUBROUTINE wtm_init_speed_control
	2904
	2905
	2906	IMPLICIT NONE
	2907
	2908	!
	2909	!-- If speed control is set, remaining variables and control_parameters for
	2910	!-- the control algorithm are calculated
	2911	!
	2912	!-- Calculate slope constant for region 15
[4447]	2913	slope15 = ( region_2_slope * region_2_min * region_2_min ) / &
	2914	( region_2_min - region_15_min )
[1864]	2915	!
	2916	!-- Calculate upper limit of slipage region
[4447]	2917	vs_sysp = generator_speed_rated / 1.1_wp
[1864]	2918	!
	2919	!-- Calculate slope of slipage region
[4447]	2920	region_25_slope = ( generator_power_rated / generator_speed_rated ) / &
	2921	( generator_speed_rated - vs_sysp )
[1864]	2922	!
	2923	!-- Calculate lower limit of slipage region
[4447]	2924	region_25_min = ( region_25_slope - SQRT( region_25_slope * &
	2925	( region_25_slope - 4.0_wp * region_2_slope * vs_sysp ) ) ) / &
	2926	( 2.0_wp * region_2_slope )
[1864]	2927	!
	2928	!-- Frequency for the simple low pass filter
[4447]	2929	Fcorner = 0.25_wp
[1864]	2930	!
	2931	!-- At the first timestep the torque is set to its maximum to prevent
	2932	!-- an overspeeding of the rotor
[2563]	2933	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
[4447]	2934	torque_gen_old(:) = generator_torque_max
[2563]	2935	ENDIF
[1864]	2936
	2937	END SUBROUTINE wtm_init_speed_control
	2938
	2939
	2940	!------------------------------------------------------------------------------!
	2941	! Description:
	2942	! ------------
	2943	!> Simple controller for the regulation of the rotor speed
	2944	!------------------------------------------------------------------------------!
	2945	SUBROUTINE wtm_speed_control( inot )
	2946
	2947
	2948	IMPLICIT NONE
	2949
[1912]	2950	INTEGER(iwp) :: inot
[1864]	2951
[4465]	2952
[1864]	2953	!
	2954	!-- The controller is based on the fortran script from Jonkman
	2955	!-- et al. 2009 "Definition of a 5 MW Reference Wind Turbine for
	2956	!-- offshore system developement"
	2957
	2958	!
	2959	!-- The generator speed is filtered by a low pass filter
	2960	!-- for the control of the generator torque
	2961	lp_coeff = EXP( -2.0_wp * 3.14_wp * dt_3d * Fcorner )
[4447]	2962	generator_speed_f(inot) = ( 1.0_wp - lp_coeff ) * generator_speed(inot) + lp_coeff *&
	2963	generator_speed_f_old(inot)
[1864]	2964
[4447]	2965	IF ( generator_speed_f(inot) <= region_15_min ) THEN
[4465]	2966	!
[1864]	2967	!-- Region 1: Generator torque is set to zero to accelerate the rotor:
	2968	torque_gen(inot) = 0
[4465]	2969
[4447]	2970	ELSEIF ( generator_speed_f(inot) <= region_2_min ) THEN
[4465]	2971	!
[1864]	2972	!-- Region 1.5: Generator torque is increasing linearly with rotor speed:
[4447]	2973	torque_gen(inot) = slope15 * ( generator_speed_f(inot) - region_15_min )
[4465]	2974
[4447]	2975	ELSEIF ( generator_speed_f(inot) <= region_25_min ) THEN
[1864]	2976	!
	2977	!-- Region 2: Generator torque is increased by the square of the generator
	2978	!-- speed to keep the TSR optimal:
[4447]	2979	torque_gen(inot) = region_2_slope * generator_speed_f(inot) * generator_speed_f(inot)
[4465]	2980
[4447]	2981	ELSEIF ( generator_speed_f(inot) < generator_speed_rated ) THEN
[4465]	2982	!
[1864]	2983	!-- Region 2.5: Slipage region between 2 and 3:
[4447]	2984	torque_gen(inot) = region_25_slope * ( generator_speed_f(inot) - vs_sysp )
[4465]	2985
[1864]	2986	ELSE
[4465]	2987	!
[1864]	2988	!-- Region 3: Generator torque is antiproportional to the rotor speed to
	2989	!-- keep the power constant:
[4447]	2990	torque_gen(inot) = generator_power_rated / generator_speed_f(inot)
[4465]	2991
[1864]	2992	ENDIF
[4465]	2993	!
[1864]	2994	!-- Calculate torque rate and confine with a max
	2995	trq_rate = ( torque_gen(inot) - torque_gen_old(inot) ) / dt_3d
[4447]	2996	trq_rate = MIN( MAX( trq_rate, -1.0_wp * generator_torque_rate_max ), &
	2997	generator_torque_rate_max )
[4465]	2998	!
	2999	!-- Calculate new gen torque and confine with max torque
[1864]	3000	torque_gen(inot) = torque_gen_old(inot) + trq_rate * dt_3d
[4465]	3001	torque_gen(inot) = MIN( torque_gen(inot), generator_torque_max )
[1864]	3002	!
[4465]	3003	!-- Overwrite values for next timestep
[4447]	3004	rotor_speed_l(inot) = generator_speed(inot) / gear_ratio
[1864]	3005
[4465]	3006
[1864]	3007	END SUBROUTINE wtm_speed_control
	3008
	3009
	3010	!------------------------------------------------------------------------------!
	3011	! Description:
	3012	! ------------
[1839]	3013	!> Application of the additional forces generated by the wind turbine on the
	3014	!> flow components (tendency terms)
	3015	!> Call for all grid points
[1819]	3016	!------------------------------------------------------------------------------!
[3875]	3017	SUBROUTINE wtm_actions( location )
[1819]	3018
	3019
[3875]	3020	CHARACTER (LEN=*) :: location !<
	3021
[1839]	3022	INTEGER(iwp) :: i !< running index
	3023	INTEGER(iwp) :: j !< running index
	3024	INTEGER(iwp) :: k !< running index
[1819]	3025
	3026
[3875]	3027	SELECT CASE ( location )
[1819]	3028
[3875]	3029	CASE ( 'before_timestep' )
	3030
	3031	CALL wtm_forces
	3032
	3033	CASE ( 'u-tendency' )
[1819]	3034	!
	3035	!-- Apply the x-component of the force to the u-component of the flow:
[4411]	3036	IF ( time_since_reference_point >= time_turbine_on ) THEN
[1819]	3037	DO i = nxlg, nxrg
	3038	DO j = nysg, nyng
[2553]	3039	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	3040	!
[1864]	3041	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	3042	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[2553]	3043	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	3044	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	3045	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2553]	3046
[2232]	3047	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	3048	- tend_nac_x - tend_tow_x ) &
	3049	* MERGE( 1.0_wp, 0.0_wp, &
[4346]	3050	BTEST( wall_flags_total_0(k,j,i), 1 ) )
[1819]	3051	ENDDO
	3052	ENDDO
	3053	ENDDO
	3054	ENDIF
	3055
[3875]	3056	CASE ( 'v-tendency' )
[1819]	3057	!
	3058	!-- Apply the y-component of the force to the v-component of the flow:
[4411]	3059	IF ( time_since_reference_point >= time_turbine_on ) THEN
[1819]	3060	DO i = nxlg, nxrg
	3061	DO j = nysg, nyng
[2553]	3062	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	3063	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[4465]	3064	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	3065	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[4465]	3066	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	3067	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	3068	- tend_nac_y - tend_tow_y ) &
	3069	* MERGE( 1.0_wp, 0.0_wp, &
[4346]	3070	BTEST( wall_flags_total_0(k,j,i), 2 ) )
[1819]	3071	ENDDO
	3072	ENDDO
	3073	ENDDO
	3074	ENDIF
	3075
[3875]	3076	CASE ( 'w-tendency' )
[1819]	3077	!
	3078	!-- Apply the z-component of the force to the w-component of the flow:
[4411]	3079	IF ( time_since_reference_point >= time_turbine_on ) THEN
[1819]	3080	DO i = nxlg, nxrg
	3081	DO j = nysg, nyng
[2553]	3082	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	3083	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	3084	* MERGE( 1.0_wp, 0.0_wp, &
[4346]	3085	BTEST( wall_flags_total_0(k,j,i), 3 ) )
[1819]	3086	ENDDO
	3087	ENDDO
	3088	ENDDO
	3089	ENDIF
	3090
	3091
	3092	CASE DEFAULT
[4056]	3093	CONTINUE
[1819]	3094
	3095	END SELECT
	3096
	3097
[3875]	3098	END SUBROUTINE wtm_actions
[1819]	3099
	3100
	3101	!------------------------------------------------------------------------------!
	3102	! Description:
	3103	! ------------
[1839]	3104	!> Application of the additional forces generated by the wind turbine on the
	3105	!> flow components (tendency terms)
	3106	!> Call for grid point i,j
[1819]	3107	!------------------------------------------------------------------------------!
[3875]	3108	SUBROUTINE wtm_actions_ij( i, j, location )
[1819]	3109
	3110
[3875]	3111	CHARACTER (LEN=*) :: location !<
[1839]	3112	INTEGER(iwp) :: i !< running index
	3113	INTEGER(iwp) :: j !< running index
	3114	INTEGER(iwp) :: k !< running index
[1819]	3115
[3875]	3116	SELECT CASE ( location )
[1819]	3117
[3875]	3118	CASE ( 'before_timestep' )
	3119
	3120	CALL wtm_forces
	3121
	3122	CASE ( 'u-tendency' )
[1819]	3123	!
	3124	!-- Apply the x-component of the force to the u-component of the flow:
[4411]	3125	IF ( time_since_reference_point >= time_turbine_on ) THEN
[2553]	3126	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	3127	!
[1839]	3128	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	3129	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[4465]	3130	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	3131	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[4465]	3132	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2232]	3133	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	3134	- tend_nac_x - tend_tow_x ) &
	3135	* MERGE( 1.0_wp, 0.0_wp, &
[4346]	3136	BTEST( wall_flags_total_0(k,j,i), 1 ) )
[1819]	3137	ENDDO
	3138	ENDIF
	3139
[3875]	3140	CASE ( 'v-tendency' )
[1819]	3141	!
	3142	!-- Apply the y-component of the force to the v-component of the flow:
[4411]	3143	IF ( time_since_reference_point >= time_turbine_on ) THEN
[2553]	3144	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	3145	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[4465]	3146	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	3147	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[4465]	3148	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	3149	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	3150	- tend_nac_y - tend_tow_y ) &
	3151	* MERGE( 1.0_wp, 0.0_wp, &
[4346]	3152	BTEST( wall_flags_total_0(k,j,i), 2 ) )
[2553]	3153	ENDDO
[1819]	3154	ENDIF
	3155
[3875]	3156	CASE ( 'w-tendency' )
[1819]	3157	!
	3158	!-- Apply the z-component of the force to the w-component of the flow:
[4411]	3159	IF ( time_since_reference_point >= time_turbine_on ) THEN
[2553]	3160	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	3161	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	3162	* MERGE( 1.0_wp, 0.0_wp, &
[4346]	3163	BTEST( wall_flags_total_0(k,j,i), 3 ) )
[1819]	3164	ENDDO
	3165	ENDIF
	3166
	3167
	3168	CASE DEFAULT
[4056]	3169	CONTINUE
[1819]	3170
	3171	END SELECT
	3172
	3173
[3875]	3174	END SUBROUTINE wtm_actions_ij
[1819]	3175
[4411]	3176
	3177	SUBROUTINE wtm_data_output
	3178
	3179
[4423]	3180	INTEGER(iwp) :: t_ind = 0 !< time index
[4411]	3181
	3182	INTEGER(iwp) :: return_value !< returned status value of called function
	3183
[4423]	3184	IF ( myid == 0 ) THEN
	3185
[4411]	3186	!
[4423]	3187	!-- At the first call of this routine write the spatial coordinates.
	3188	IF ( .NOT. initial_write_coordinates ) THEN
[4447]	3189	ALLOCATE ( output_values_1d_target(1:n_turbines) )
	3190	output_values_1d_target = hub_x(1:n_turbines)
[4465]	3191	output_values_1d_pointer => output_values_1d_target
[4423]	3192	return_value = dom_write_var( nc_filename, &
	3193	'x', &
	3194	values_realwp_1d = output_values_1d_pointer, &
	3195	bounds_start = (/1/), &
[4447]	3196	bounds_end = (/n_turbines/) )
[4411]	3197
[4447]	3198	output_values_1d_target = hub_y(1:n_turbines)
[4465]	3199	output_values_1d_pointer => output_values_1d_target
[4423]	3200	return_value = dom_write_var( nc_filename, &
	3201	'y', &
	3202	values_realwp_1d = output_values_1d_pointer, &
	3203	bounds_start = (/1/), &
[4447]	3204	bounds_end = (/n_turbines/) )
[4411]	3205
[4447]	3206	output_values_1d_target = hub_z(1:n_turbines)
[4465]	3207	output_values_1d_pointer => output_values_1d_target
[4423]	3208	return_value = dom_write_var( nc_filename, &
	3209	'z', &
	3210	values_realwp_1d = output_values_1d_pointer, &
	3211	bounds_start = (/1/), &
[4465]	3212	bounds_end = (/n_turbines/) )
	3213
	3214	output_values_1d_target = rotor_radius(1:n_turbines) * 2.0_wp
	3215	output_values_1d_pointer => output_values_1d_target
	3216	return_value = dom_write_var( nc_filename, &
	3217	'rotor_diameter', &
	3218	values_realwp_1d = output_values_1d_pointer, &
	3219	bounds_start = (/1/), &
	3220	bounds_end = (/n_turbines/) )
	3221
	3222	output_values_1d_target = tower_diameter(1:n_turbines)
	3223	output_values_1d_pointer => output_values_1d_target
	3224	return_value = dom_write_var( nc_filename, &
	3225	'tower_diameter', &
	3226	values_realwp_1d = output_values_1d_pointer, &
	3227	bounds_start = (/1/), &
	3228	bounds_end = (/n_turbines/) )
	3229
[4423]	3230	initial_write_coordinates = .TRUE.
	3231	DEALLOCATE ( output_values_1d_target )
	3232	ENDIF
[4465]	3233
[4423]	3234	t_ind = t_ind + 1
[4411]	3235
[4447]	3236	ALLOCATE ( output_values_1d_target(1:n_turbines) )
	3237	output_values_1d_target = rotor_speed(:)
[4423]	3238	output_values_1d_pointer => output_values_1d_target
[4411]	3239
[4423]	3240	return_value = dom_write_var( nc_filename, &
	3241	'rotor_speed', &
	3242	values_realwp_1d = output_values_1d_pointer, &
	3243	bounds_start = (/1, t_ind/), &
[4447]	3244	bounds_end = (/n_turbines, t_ind /) )
[4411]	3245
[4447]	3246	output_values_1d_target = generator_speed(:)
[4423]	3247	output_values_1d_pointer => output_values_1d_target
	3248	return_value = dom_write_var( nc_filename, &
	3249	'generator_speed', &
	3250	values_realwp_1d = output_values_1d_pointer, &
	3251	bounds_start = (/1, t_ind/), &
[4447]	3252	bounds_end = (/n_turbines, t_ind /) )
[4411]	3253
[4423]	3254	output_values_1d_target = torque_gen_old(:)
	3255	output_values_1d_pointer => output_values_1d_target
[4411]	3256
[4423]	3257	return_value = dom_write_var( nc_filename, &
	3258	'generator_torque', &
	3259	values_realwp_1d = output_values_1d_pointer, &
	3260	bounds_start = (/1, t_ind/), &
[4447]	3261	bounds_end = (/n_turbines, t_ind /) )
[4411]	3262
[4423]	3263	output_values_1d_target = torque_total(:)
	3264	output_values_1d_pointer => output_values_1d_target
[4411]	3265
[4423]	3266	return_value = dom_write_var( nc_filename, &
	3267	'rotor_torque', &
	3268	values_realwp_1d = output_values_1d_pointer, &
	3269	bounds_start = (/1, t_ind/), &
[4447]	3270	bounds_end = (/n_turbines, t_ind /) )
[4411]	3271
[4447]	3272	output_values_1d_target = pitch_angle(:)
[4423]	3273	output_values_1d_pointer => output_values_1d_target
[4411]	3274
[4423]	3275	return_value = dom_write_var( nc_filename, &
	3276	'pitch_angle', &
	3277	values_realwp_1d = output_values_1d_pointer, &
	3278	bounds_start = (/1, t_ind/), &
[4447]	3279	bounds_end = (/n_turbines, t_ind /) )
[4411]	3280
[4447]	3281	output_values_1d_target = torque_gen_old(:)generator_speed(:)generator_efficiency
[4423]	3282	output_values_1d_pointer => output_values_1d_target
[4411]	3283
[4423]	3284	return_value = dom_write_var( nc_filename, &
	3285	'generator_power', &
	3286	values_realwp_1d = output_values_1d_pointer, &
	3287	bounds_start = (/1, t_ind/), &
[4447]	3288	bounds_end = (/n_turbines, t_ind /) )
[4411]	3289
[4447]	3290	DO inot = 1, n_turbines
	3291	output_values_1d_target(inot) = torque_total(inot)rotor_speed(inot)air_density
[4423]	3292	ENDDO
	3293	output_values_1d_pointer => output_values_1d_target
[4411]	3294
[4423]	3295	return_value = dom_write_var( nc_filename, &
	3296	'rotor_power', &
	3297	values_realwp_1d = output_values_1d_pointer, &
	3298	bounds_start = (/1, t_ind/), &
[4447]	3299	bounds_end = (/n_turbines, t_ind /) )
[4411]	3300
[4423]	3301	output_values_1d_target = thrust_rotor(:)
	3302	output_values_1d_pointer => output_values_1d_target
[4411]	3303
[4423]	3304	return_value = dom_write_var( nc_filename, &
	3305	'rotor_thrust', &
	3306	values_realwp_1d = output_values_1d_pointer, &
	3307	bounds_start = (/1, t_ind/), &
[4447]	3308	bounds_end = (/n_turbines, t_ind /) )
[4411]	3309
[4423]	3310	output_values_1d_target = wdir(:)*180.0_wp/pi
	3311	output_values_1d_pointer => output_values_1d_target
[4411]	3312
[4423]	3313	return_value = dom_write_var( nc_filename, &
	3314	'wind_direction', &
	3315	values_realwp_1d = output_values_1d_pointer, &
	3316	bounds_start = (/1, t_ind/), &
[4447]	3317	bounds_end = (/n_turbines, t_ind /) )
[4411]	3318
[4447]	3319	output_values_1d_target = (yaw_angle(:))*180.0_wp/pi
[4423]	3320	output_values_1d_pointer => output_values_1d_target
[4411]	3321
[4423]	3322	return_value = dom_write_var( nc_filename, &
	3323	'yaw_angle', &
	3324	values_realwp_1d = output_values_1d_pointer, &
	3325	bounds_start = (/1, t_ind/), &
[4447]	3326	bounds_end = (/n_turbines, t_ind /) )
[4411]	3327
[4423]	3328	output_values_0d_target = time_since_reference_point
	3329	output_values_0d_pointer => output_values_0d_target
[4411]	3330
[4423]	3331	return_value = dom_write_var( nc_filename, &
	3332	'time', &
	3333	values_realwp_0d = output_values_0d_pointer, &
[4447]	3334	bounds_start = (/t_ind/), &
[4411]	3335	bounds_end = (/t_ind/) )
	3336
[4423]	3337	DEALLOCATE ( output_values_1d_target )
[4411]	3338
[4423]	3339	ENDIF
[4411]	3340
	3341	END SUBROUTINE wtm_data_output
	3342
[1819]	3343	END MODULE wind_turbine_model_mod

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