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source: palm/trunk/SOURCE/wind_turbine_model_mod.f90 @ 4731

Last change on this file since 4731 was 4537, checked in by oliver.maas, 4 years ago
reset n_turbines_max to 1E4 (10 000), because it was set to 1 000 in r4497 by mistake
Property svn:keywords set to `Id`
File size: 143.8 KB

Rev	Line
[1820]	1	!> @file wind_turbine_model_mod.f90
[4497]	2	!--------------------------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1819]	4	!
[4497]	5	! PALM is free software: you can redistribute it and/or modify it under the terms of the GNU General
	6	! Public License as published by the Free Software Foundation, either version 3 of the License, or
	7	! (at your option) any later version.
[1819]	8	!
[4497]	9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the
	10	! implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
	11	! Public License for more details.
[1819]	12	!
[4497]	13	! You should have received a copy of the GNU General Public License along with PALM. If not, see
	14	! <http://www.gnu.org/licenses/>.
[1819]	15	!
[4481]	16	! Copyright 2009-2020 Carl von Ossietzky Universitaet Oldenburg
[4360]	17	! Copyright 1997-2020 Leibniz Universitaet Hannover
[4497]	18	!--------------------------------------------------------------------------------------------------!
[1819]	19	!
[4497]	20	!
[1819]	21	! Current revisions:
	22	! -----------------
[1913]	23	!
[4438]	24	!
[1913]	25	! Former revisions:
	26	! -----------------
	27	! $Id: wind_turbine_model_mod.f90 4537 2020-05-18 06:31:50Z schwenkel $
[4537]	28	! reset n_turbines_max to 1E4 (10 000), because it was set to 1 000 in r4497 by mistake
	29	!
	30	! 4535 2020-05-15 12:07:23Z raasch
[4535]	31	! bugfix for restart data format query
	32	!
	33	! 4528 2020-05-11 14:14:09Z oliver.maas
[4528]	34	! added namelist parameter smearing_kernel_size
	35	!
	36	! 4497 2020-04-15 10:20:51Z raasch
[4497]	37	! file re-formatted to follow the PALM coding standard
	38	!
	39	!
	40	! 4495 2020-04-13 20:11:20Z raasch
[4495]	41	! restart data handling with MPI-IO added
	42	!
	43	! 4481 2020-03-31 18:55:54Z maronga
[4467]	44	! ASCII output cleanup
[4497]	45	!
[4467]	46	! 4465 2020-03-20 11:35:48Z maronga
[4497]	47	! Removed old ASCII outputm, some syntax layout adjustments, added output for rotor and tower
	48	! diameters. Added warning message in case of NetCDF 3 (no WTM output file will be produced).
	49	!
[4465]	50	! 4460 2020-03-12 16:47:30Z oliver.maas
[4460]	51	! allow for simulating up to 10 000 wind turbines
[4497]	52	!
[4460]	53	! 4459 2020-03-12 09:35:23Z oliver.maas
[4459]	54	! avoid division by zero in tip loss correction factor calculation
[4497]	55	!
[4459]	56	! 4457 2020-03-11 14:20:43Z raasch
[4457]	57	! use statement for exchange horiz added
[4497]	58	!
[4457]	59	! 4447 2020-03-06 11:05:30Z oliver.maas
[4447]	60	! renamed wind_turbine_parameters namelist variables
[4497]	61	!
[4447]	62	! 4438 2020-03-03 20:49:28Z suehring
[4438]	63	! Bugfix: shifted netcdf preprocessor directive to correct position
[4497]	64	!
[4438]	65	! 4436 2020-03-03 12:47:02Z oliver.maas
[4434]	66	! added optional netcdf data input for wtm array input parameters
[4497]	67	!
[4434]	68	! 4426 2020-02-27 10:02:19Z oliver.maas
[4497]	69	! define time as unlimited dimension so that no maximum number of time steps has to be given for
	70	! wtm_data_output
	71	!
[4426]	72	! 4423 2020-02-25 07:17:11Z maronga
[4423]	73	! Switched to serial output as data is aggerated before anyway.
[4497]	74	!
[4423]	75	! 4420 2020-02-24 14:13:56Z maronga
[4420]	76	! Added output control for wind turbine model
[4497]	77	!
[4420]	78	! 4412 2020-02-19 14:53:13Z maronga
[4412]	79	! Bugfix: corrected character length in dimension_names
[4497]	80	!
[4412]	81	! 4411 2020-02-18 14:28:02Z maronga
[4411]	82	! Added output in NetCDF format using DOM (only netcdf4-parallel is supported).
	83	! Old ASCII output is still available at the moment.
[4497]	84	!
[4411]	85	! 4360 2020-01-07 11:25:50Z suehring
[4497]	86	! Introduction of wall_flags_total_0, which currently sets bits based on static topography
	87	! information used in wall_flags_static_0
	88	!
[4346]	89	! 4343 2019-12-17 12:26:12Z oliver.maas
[4497]	90	! replaced <= by < in line 1464 to ensure that ialpha will not be greater than dlen
	91	!
[4343]	92	! 4329 2019-12-10 15:46:36Z motisi
[4329]	93	! Renamed wall_flags_0 to wall_flags_static_0
[4497]	94	!
[4329]	95	! 4326 2019-12-06 14:16:14Z oliver.maas
[4497]	96	! changed format of turbine control output to allow for higher torque and power values
	97	!
[4326]	98	! 4182 2019-08-22 15:20:23Z scharf
[4182]	99	! Corrected "Former revisions" section
[4497]	100	!
[4182]	101	! 4144 2019-08-06 09:11:47Z raasch
[4144]	102	! relational operators .EQ., .NE., etc. replaced by ==, /=, etc.
[4497]	103	!
[4144]	104	! 4056 2019-06-27 13:53:16Z Giersch
[4497]	105	! CASE DEFAULT action in wtm_actions needs to be CONTINUE. Otherwise an abort will happen for
	106	! location values that are not implemented as CASE statements but are already realized in the code
	107	! (e.g. pt-tendency)
	108	!
[4056]	109	! 3885 2019-04-11 11:29:34Z kanani
[4497]	110	! Changes related to global restructuring of location messages and introduction of additional debug
	111	! messages
	112	!
[3885]	113	! 3875 2019-04-08 17:35:12Z knoop
[3875]	114	! Addaped wtm_tendency to fit the module actions interface
[4497]	115	!
[3875]	116	! 3832 2019-03-28 13:16:58Z raasch
[3832]	117	! instrumented with openmp directives
[4497]	118	!
[3832]	119	! 3725 2019-02-07 10:11:02Z raasch
[3725]	120	! unused variables removed
[4497]	121	!
[3725]	122	! 3685 2019-01-21 01:02:11Z knoop
[3685]	123	! Some interface calls moved to module_interface + cleanup
[4497]	124	!
[3685]	125	! 3655 2019-01-07 16:51:22Z knoop
[3593]	126	! Replace degree symbol by 'degrees'
[4497]	127	!
[4182]	128	! 1914 2016-05-26 14:44:07Z witha
	129	! Initial revision
[3593]	130	!
[4497]	131	!
[1819]	132	! Description:
	133	! ------------
[4497]	134	!> This module calculates the effect of wind turbines on the flow fields. The initial version
	135	!> contains only the advanced actuator disk with rotation method (ADM-R).
[1819]	136	!> The wind turbines include the tower effect, can be yawed and tilted.
[4497]	137	!> The wind turbine model includes controllers for rotational speed, pitch and yaw.
	138	!> Currently some specifications of the NREL 5 MW reference turbine are hardcoded whereas most input
	139	!> data comes from separate files (currently external, planned to be included as namelist which will
	140	!> be read in automatically).
[1819]	141	!>
[3065]	142	!> @todo Replace dz(1) appropriatly to account for grid stretching
[1819]	143	!> @todo Revise code according to PALM Coding Standard
	144	!> @todo Implement ADM and ALM turbine models
	145	!> @todo Generate header information
[1917]	146	!> @todo Implement further parameter checks and error messages
[1819]	147	!> @todo Revise and add code documentation
	148	!> @todo Output turbine parameters as timeseries
	149	!> @todo Include additional output variables
[1864]	150	!> @todo Revise smearing the forces for turbines in yaw
	151	!> @todo Revise nacelle and tower parameterization
	152	!> @todo Allow different turbine types in one simulation
[1819]	153	!
[4497]	154	!--------------------------------------------------------------------------------------------------!
[1819]	155	MODULE wind_turbine_model_mod
	156
[4497]	157	USE arrays_3d, &
[2553]	158	ONLY: tend, u, v, w, zu, zw
[1819]	159
[4497]	160	USE basic_constants_and_equations_mod, &
[2553]	161	ONLY: pi
[1819]	162
[4497]	163	USE control_parameters, &
	164	ONLY: coupling_char, &
	165	debug_output, &
	166	dt_3d, dz, end_time, initializing_actions, message_string, &
	167	origin_date_time, restart_data_format_output, time_since_reference_point, &
	168	wind_turbine
[1819]	169
[4497]	170	USE cpulog, &
[1819]	171	ONLY: cpu_log, log_point_s
	172
[4411]	173	USE data_output_module
[4497]	174
	175	USE grid_variables, &
[1819]	176	ONLY: ddx, dx, ddy, dy
	177
[4497]	178	USE indices, &
	179	ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nz, &
[4346]	180	nzb, nzt, wall_flags_total_0
[1819]	181
	182	USE kinds
	183
[4497]	184	USE netcdf_data_input_mod, &
	185	ONLY: check_existence, &
	186	close_input_file, &
	187	get_variable, &
	188	input_pids_wtm, &
	189	inquire_num_variables, &
	190	inquire_variable_names, &
	191	input_file_wtm, &
	192	num_var_pids, &
	193	open_read_file, &
	194	pids_id, &
[4434]	195	vars_pids
[4497]	196
[1819]	197	USE pegrid
	198
[4495]	199	USE restart_data_mpi_io_mod, &
	200	ONLY: rrd_mpi_io_global_array, wrd_mpi_io_global_array
[1819]	201
[4497]	202
[1819]	203	IMPLICIT NONE
	204
[1864]	205	PRIVATE
[1819]	206
[4497]	207	CHARACTER(LEN=100) :: variable_name !< name of output variable
	208	CHARACTER(LEN=30) :: nc_filename !<
[4460]	209
[4497]	210
[4537]	211	INTEGER(iwp), PARAMETER :: n_turbines_max = 1E4 !< maximum number of turbines (for array allocation)
[4497]	212
	213
[1819]	214	!
	215	!-- Variables specified in the namelist wind_turbine_par
[4497]	216	INTEGER(iwp) :: n_airfoils = 8 !< number of airfoils of the used turbine model (for ADM-R and ALM)
	217	INTEGER(iwp) :: n_turbines = 1 !< number of turbines
[1819]	218
[4497]	219	LOGICAL :: pitch_control = .FALSE. !< switch for use of pitch controller
	220	LOGICAL :: speed_control = .FALSE. !< switch for use of speed controller
	221	LOGICAL :: tip_loss_correction = .FALSE. !< switch for use of tip loss correct.
	222	LOGICAL :: yaw_control = .FALSE. !< switch for use of yaw controller
	223
	224
	225	LOGICAL :: initial_write_coordinates = .FALSE. !<
	226
	227
	228	REAL(wp), DIMENSION(:), POINTER :: output_values_1d_pointer !< pointer for 2d output array
	229	REAL(wp), POINTER :: output_values_0d_pointer !< pointer for 2d output array
	230	REAL(wp), DIMENSION(:), ALLOCATABLE, TARGET :: output_values_1d_target !< pointer for 2d output array
	231	REAL(wp), TARGET :: output_values_0d_target !< pointer for 2d output array
	232
	233
	234	REAL(wp) :: dt_data_output_wtm = 0.0_wp !< data output interval
	235	REAL(wp) :: time_wtm = 0.0_wp !< time since last data output
	236
	237
[4447]	238	REAL(wp) :: segment_length_tangential = 1.0_wp !< length of the segments, the rotor area is divided into
	239	!< (in tangential direction, as factor of MIN(dx,dy,dz))
	240	REAL(wp) :: segment_width_radial = 0.5_wp !< width of the segments, the rotor area is divided into
	241	!< (in radial direction, as factor of MIN(dx,dy,dz))
[4528]	242
	243	REAL(wp) :: smearing_kernel_size = 2.0_wp !< size of the smearing kernel as multiples of dx
	244
[4447]	245	REAL(wp) :: time_turbine_on = 0.0_wp !< time at which turbines are started
[4497]	246	REAL(wp) :: tilt_angle = 0.0_wp !< vertical tilt_angle of the rotor [degree] ( positive = backwards )
[1819]	247
[4497]	248	!< ( clockwise, 0 = facing west )
[4460]	249	REAL(wp), DIMENSION(1:n_turbines_max) :: hub_x = 9999999.9_wp !< position of hub in x-direction
	250	REAL(wp), DIMENSION(1:n_turbines_max) :: hub_y = 9999999.9_wp !< position of hub in y-direction
	251	REAL(wp), DIMENSION(1:n_turbines_max) :: hub_z = 9999999.9_wp !< position of hub in z-direction
	252	REAL(wp), DIMENSION(1:n_turbines_max) :: nacelle_radius = 0.0_wp !< nacelle diameter [m]
	253	! REAL(wp), DIMENSION(1:n_turbines_max) :: nacelle_cd = 0.85_wp !< drag coefficient for nacelle
	254	REAL(wp), DIMENSION(1:n_turbines_max) :: tower_cd = 1.2_wp !< drag coefficient for tower
[4497]	255	REAL(wp), DIMENSION(1:n_turbines_max) :: pitch_angle = 0.0_wp !< constant pitch angle
	256	REAL(wp), DIMENSION(1:n_turbines_max) :: rotor_radius = 63.0_wp !< rotor radius [m]
	257	REAL(wp), DIMENSION(1:n_turbines_max), TARGET :: rotor_speed = 0.9_wp !< inital or constant rotor speed [rad/s]
	258	REAL(wp), DIMENSION(1:n_turbines_max) :: tower_diameter = 0.0_wp !< tower diameter [m]
	259	REAL(wp), DIMENSION(1:n_turbines_max) :: yaw_angle = 0.0_wp !< yaw angle [degree]
[1839]	260
[4497]	261
[1819]	262	!
	263	!-- Variables specified in the namelist for speed controller
	264	!-- Default values are from the NREL 5MW research turbine (Jonkman, 2008)
[4497]	265	REAL(wp) :: air_density = 1.225_wp !< Air density to convert to W [kg/m3]
	266	REAL(wp) :: gear_efficiency = 1.0_wp !< Loss between rotor and generator
	267	REAL(wp) :: gear_ratio = 97.0_wp !< Gear ratio from rotor to generator
	268	REAL(wp) :: generator_power_rated = 5296610.0_wp !< rated turbine power [W]
	269	REAL(wp) :: generator_inertia = 534.116_wp !< Inertia of the generator [kg*m2]
	270	REAL(wp) :: generator_efficiency = 0.944_wp !< Electric efficiency of the generator
	271	REAL(wp) :: generator_speed_rated = 121.6805_wp !< Rated generator speed [rad/s]
	272	REAL(wp) :: generator_torque_max = 47402.91_wp !< Maximum of the generator torque [Nm]
	273	REAL(wp) :: generator_torque_rate_max = 15000.0_wp !< Max generator torque increase [Nm/s]
	274	REAL(wp) :: pitch_rate = 8.0_wp !< Max pitch rate [degree/s]
	275	REAL(wp) :: region_2_slope = 2.332287_wp !< Slope constant for region 2
	276	REAL(wp) :: region_2_min = 91.21091_wp !< Lower generator speed boundary of region 2 [rad/s]
	277	REAL(wp) :: region_15_min = 70.16224_wp !< Lower generator speed boundary of region 1.5 [rad/s]
	278	REAL(wp) :: rotor_inertia = 34784179.0_wp !< Inertia of the rotor [kg*m2]
[1819]	279
[1839]	280
[1912]	281
[1819]	282	!
[4497]	283	!-- Variables specified in the namelist for yaw control:
	284	REAL(wp) :: yaw_misalignment_max = 0.08726_wp !< maximum tolerated yaw missalignment [rad]
	285	REAL(wp) :: yaw_misalignment_min = 0.008726_wp !< minimum yaw missalignment for which the actuator stops [rad]
	286	REAL(wp) :: yaw_speed = 0.005236_wp !< speed of the yaw actuator [rad/s]
[1819]	287
	288	!
[4497]	289	!-- Variables for initialization of the turbine model:
	290	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	291	INTEGER(iwp) :: nsegs_max !< maximum number of segments (all turbines, required for allocation of arrays)
	292	INTEGER(iwp) :: nrings_max !< maximum number of rings (all turbines, required for allocation of arrays)
	293	INTEGER(iwp) :: ring !< ring loop index (ring number)
	294	INTEGER(iwp) :: upper_end !<
[1819]	295
[4497]	296	INTEGER(iwp), DIMENSION(1) :: lct !<
[1819]	297
[4497]	298	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_hub !< index belonging to x-position of the turbine
	299	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_smear !< index defining the area for the smearing of the forces (x-direction)
	300	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_hub !< index belonging to y-position of the turbine
	301	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_smear !< index defining the area for the smearing of the forces (y-direction)
	302	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_hub !< index belonging to hub height
	303	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_smear !< index defining the area for the smearing of the forces (z-direction)
	304	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nrings !< number of rings per turbine
	305	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nsegs_total !< total number of segments per turbine
[1819]	306
[4497]	307	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nsegs !< number of segments per ring and turbine
[1819]	308
[1912]	309	!
[4497]	310	!- Parameters for the smearing from the rotor to the cartesian grid:
	311	REAL(wp) :: delta_t_factor !<
	312	REAL(wp) :: eps_factor !<
	313	REAL(wp) :: eps_min !<
	314	REAL(wp) :: eps_min2 !<
	315	REAL(wp) :: pol_a !< parameter for the polynomial smearing fct
	316	REAL(wp) :: pol_b !< parameter for the polynomial smearing fct
[1839]	317	!
[4497]	318	!-- Variables for the calculation of lift and drag coefficients:
	319	REAL(wp), DIMENSION(:), ALLOCATABLE :: ard !<
	320	REAL(wp), DIMENSION(:), ALLOCATABLE :: crd !<
	321	REAL(wp), DIMENSION(:), ALLOCATABLE :: delta_r !< radial segment length
	322	REAL(wp), DIMENSION(:), ALLOCATABLE :: lrd !<
[1819]	323
[4497]	324	REAL(wp) :: accu_cl_cd_tab = 0.1_wp !< Accuracy of the interpolation of the lift and drag coeff [deg]
[1819]	325
[4497]	326	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_tab !< table of the blade drag coefficient
	327	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_tab !< table of the blade lift coefficient
	328
	329	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: nac_cd_surf !< 3d field of the tower drag coefficient
[1912]	330	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: tow_cd_surf !< 3d field of the nacelle drag coefficient
[1819]	331
	332	!
[4497]	333	!-- Variables for the calculation of the forces:
	334	REAL(wp) :: cur_r !<
	335	REAL(wp) :: phi_rotor !<
	336	REAL(wp) :: pre_factor !<
	337	REAL(wp) :: torque_seg !<
	338	REAL(wp) :: u_int_l !<
	339	REAL(wp) :: u_int_u !<
	340	REAL(wp) :: u_rot !<
	341	REAL(wp) :: v_int_l !<
	342	REAL(wp) :: v_int_u !<
	343	REAL(wp) :: w_int_l !<
	344	REAL(wp) :: w_int_u !<
[3832]	345	!$OMP THREADPRIVATE (cur_r, phi_rotor, pre_factor, torque_seg, u_int_l, u_int_u, u_rot, &
	346	!$OMP& v_int_l, v_int_u, w_int_l, w_int_u)
[1912]	347	!
[4497]	348	!- Tendencies from the nacelle and tower thrust:
	349	REAL(wp) :: tend_nac_x = 0.0_wp !<
	350	REAL(wp) :: tend_nac_y = 0.0_wp !<
	351	REAL(wp) :: tend_tow_x = 0.0_wp !<
[1912]	352	REAL(wp) :: tend_tow_y = 0.0_wp !<
[3832]	353	!$OMP THREADPRIVATE (tend_nac_x, tend_tow_x, tend_nac_y, tend_tow_y)
[1819]	354
[4497]	355	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack !<
	356	REAL(wp), DIMENSION(:), ALLOCATABLE :: chord !<
	357	REAL(wp), DIMENSION(:), ALLOCATABLE :: phi_rel !<
	358	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_total !<
	359	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_rotor !<
	360	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd !<
	361	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl !<
	362	REAL(wp), DIMENSION(:), ALLOCATABLE :: vrel !<
	363	REAL(wp), DIMENSION(:), ALLOCATABLE :: vtheta !<
[1912]	364
	365	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rbx, rby, rbz !< coordinates of the blade elements
	366	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rotx, roty, rotz !< normal vectors to the rotor coordinates
	367
	368	!
[4497]	369	!- Fields for the interpolation of velocities on the rotor grid:
	370	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int !<
	371	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int_1_l !<
	372	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int !<
	373	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int_1_l !<
	374	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int !<
	375	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int_1_l !<
	376
[1912]	377	!
[4497]	378	!- Rotor tendencies on the segments:
	379	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_seg !<
	380	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_y !<
	381	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_z !<
[1912]	382
	383	!
[4497]	384	!- Rotor tendencies on the rings:
	385	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: thrust_ring !<
	386	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_y !<
	387	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_z !<
	388
[1912]	389	!
[4497]	390	!- Rotor tendencies on rotor grids for all turbines:
	391	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: thrust !<
	392	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_y !<
	393	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_z !<
[1912]	394
	395	!
[4497]	396	!- Rotor tendencies on coordinate grid:
	397	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_x !<
	398	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_y !<
	399	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_z !<
	400
	401	!
	402	!- Variables for the rotation of the rotor coordinates:
[4460]	403	REAL(wp), DIMENSION(1:n_turbines_max,1:3,1:3) :: rot_coord_trans !< matrix for rotation of rotor coordinates
[1819]	404
[4497]	405	REAL(wp), DIMENSION(1:3) :: rot_eigen_rad !<
	406	REAL(wp), DIMENSION(1:3) :: rot_eigen_azi !<
	407	REAL(wp), DIMENSION(1:3) :: rot_eigen_nor !<
	408	REAL(wp), DIMENSION(1:3) :: re !<
	409	REAL(wp), DIMENSION(1:3) :: rea !<
	410	REAL(wp), DIMENSION(1:3) :: ren !<
	411	REAL(wp), DIMENSION(1:3) :: rote !<
	412	REAL(wp), DIMENSION(1:3) :: rota !<
	413	REAL(wp), DIMENSION(1:3) :: rotn !<
	414
[1839]	415	!
[4497]	416	!-- Fixed variables for the speed controller:
	417	LOGICAL :: start_up = .TRUE. !<
[1819]	418
[4497]	419	REAL(wp) :: fcorner !< corner freq for the controller low pass filter
	420	REAL(wp) :: om_rate !< rotor speed change
	421	REAL(wp) :: region_25_min !< min region 2.5
	422	REAL(wp) :: region_25_slope !< slope in region 2.5
	423	REAL(wp) :: slope15 !< slope in region 1.5
	424	REAL(wp) :: trq_rate !< torque change
	425	REAL(wp) :: vs_sysp !<
	426	REAL(wp) :: lp_coeff !< coeff for the controller low pass filter
[1819]	427
[4497]	428	REAL(wp), DIMENSION(n_turbines_max) :: rotor_speed_l = 0.0_wp !< local rot speed [rad/s]
[2563]	429
[1839]	430	!
[4497]	431	!-- Fixed variables for the yaw controller:
	432	INTEGER(iwp) :: wdlon !<
	433	INTEGER(iwp) :: wdsho !<
[1819]	434
[4497]	435	LOGICAL, DIMENSION(1:n_turbines_max) :: doyaw = .FALSE. !<
	436
	437	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow !< wind speed at hub
	438	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow_l !<
	439	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir !< wind direction at hub
	440	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir_l !<
	441	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd2_l !< local (cpu) short running avg of the wd
	442	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd30_l !< local (cpu) long running avg of the wd
[1912]	443	REAL(wp), DIMENSION(:) , ALLOCATABLE :: yawdir !< direction to yaw
[4447]	444	REAL(wp), DIMENSION(:) , ALLOCATABLE :: yaw_angle_l !< local (cpu) yaw angle
[4497]	445
	446	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd2 !<
[1912]	447	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd30 !<
[1819]	448
[4497]	449
[2563]	450	!
[4497]	451	!-- Variables that have to be saved in the binary file for restarts:
	452	REAL(wp), DIMENSION(1:n_turbines_max) :: pitch_angle_old = 0.0_wp !< old constant pitch angle
[4460]	453	REAL(wp), DIMENSION(1:n_turbines_max) :: generator_speed = 0.0_wp !< curr. generator speed
	454	REAL(wp), DIMENSION(1:n_turbines_max) :: generator_speed_f = 0.0_wp !< filtered generator speed
	455	REAL(wp), DIMENSION(1:n_turbines_max) :: generator_speed_old = 0.0_wp !< last generator speed
	456	REAL(wp), DIMENSION(1:n_turbines_max) :: generator_speed_f_old = 0.0_wp !< last filtered generator speed
	457	REAL(wp), DIMENSION(1:n_turbines_max) :: torque_gen = 0.0_wp !< generator torque
	458	REAL(wp), DIMENSION(1:n_turbines_max) :: torque_gen_old = 0.0_wp !< last generator torque
[1819]	459
[2563]	460
[1839]	461	SAVE
[1819]	462
[1839]	463
	464	INTERFACE wtm_parin
	465	MODULE PROCEDURE wtm_parin
	466	END INTERFACE wtm_parin
[2563]	467
[1912]	468	INTERFACE wtm_check_parameters
	469	MODULE PROCEDURE wtm_check_parameters
	470	END INTERFACE wtm_check_parameters
[3875]	471
[4411]	472	INTERFACE wtm_data_output
	473	MODULE PROCEDURE wtm_data_output
	474	END INTERFACE wtm_data_output
[4497]	475
[1839]	476	INTERFACE wtm_init_arrays
	477	MODULE PROCEDURE wtm_init_arrays
	478	END INTERFACE wtm_init_arrays
	479
	480	INTERFACE wtm_init
	481	MODULE PROCEDURE wtm_init
	482	END INTERFACE wtm_init
[2553]	483
[4411]	484	INTERFACE wtm_init_output
	485	MODULE PROCEDURE wtm_init_output
	486	END INTERFACE wtm_init_output
[4497]	487
[3875]	488	INTERFACE wtm_actions
	489	MODULE PROCEDURE wtm_actions
	490	MODULE PROCEDURE wtm_actions_ij
	491	END INTERFACE wtm_actions
[1819]	492
[3875]	493	INTERFACE wtm_rrd_global
[4495]	494	MODULE PROCEDURE wtm_rrd_global_ftn
	495	MODULE PROCEDURE wtm_rrd_global_mpi
[3875]	496	END INTERFACE wtm_rrd_global
[1819]	497
[3875]	498	INTERFACE wtm_wrd_global
	499	MODULE PROCEDURE wtm_wrd_global
	500	END INTERFACE wtm_wrd_global
[2563]	501
[3875]	502
[4497]	503	PUBLIC &
	504	dt_data_output_wtm, &
	505	time_wtm, &
[4420]	506	wind_turbine
	507
[4497]	508	PUBLIC &
	509	wtm_parin, &
	510	wtm_check_parameters, &
	511	wtm_data_output, &
	512	wtm_init_arrays, &
	513	wtm_init_output, &
	514	wtm_init, &
	515	wtm_actions, &
	516	wtm_rrd_global, &
[3875]	517	wtm_wrd_global
	518
	519
[1819]	520	CONTAINS
	521
	522
[4497]	523	!--------------------------------------------------------------------------------------------------!
[1819]	524	! Description:
	525	! ------------
[1839]	526	!> Parin for &wind_turbine_par for wind turbine model
[4497]	527	!--------------------------------------------------------------------------------------------------!
	528	SUBROUTINE wtm_parin
[1819]	529
[4497]	530	IMPLICIT NONE
[1819]	531
[4497]	532	CHARACTER(LEN=80) :: line !< dummy string that contains the current line of the parameter file
[1839]	533
[4497]	534	NAMELIST /wind_turbine_parameters/ &
	535	air_density, tower_diameter, dt_data_output_wtm, &
	536	gear_efficiency, gear_ratio, generator_efficiency, &
	537	generator_inertia, rotor_inertia, yaw_misalignment_max, &
	538	generator_torque_max, generator_torque_rate_max, yaw_misalignment_min, &
	539	region_15_min, region_2_min, n_airfoils, n_turbines, &
	540	rotor_speed, yaw_angle, pitch_angle, pitch_control, &
	541	generator_speed_rated, generator_power_rated, hub_x, hub_y, hub_z, &
	542	nacelle_radius, rotor_radius, segment_length_tangential, segment_width_radial, &
	543	region_2_slope, speed_control, tilt_angle, time_turbine_on, &
[4528]	544	smearing_kernel_size, tower_cd, pitch_rate, &
[4497]	545	yaw_control, yaw_speed, tip_loss_correction
	546	! , nacelle_cd
[4447]	547
[1819]	548	!
[4497]	549	!-- Try to find wind turbine model package:
	550	REWIND ( 11 )
	551	line = ' '
	552	DO WHILE ( INDEX ( line, '&wind_turbine_parameters' ) == 0 )
	553	READ ( 11, '(A)', END = 12 ) line
	554	ENDDO
	555	BACKSPACE ( 11 )
[1839]	556
	557	!
[4497]	558	!-- Read user-defined namelist:
	559	READ ( 11, wind_turbine_parameters, ERR = 10, END = 12 )
[2932]	560	!
[4497]	561	!-- Set flag that indicates that the wind turbine model is switched on:
	562	wind_turbine = .TRUE.
[4465]	563
[4497]	564	GOTO 12
[2932]	565
[4497]	566	10 BACKSPACE ( 11 )
	567	READ ( 11, '(A)' ) line
	568	CALL parin_fail_message( 'wind_turbine_parameters', line )
[3246]	569
[4497]	570	12 CONTINUE ! TBD Change from continue, mit ierrn machen
[1839]	571
[4497]	572	END SUBROUTINE wtm_parin
[1839]	573
[2563]	574
[4497]	575	!--------------------------------------------------------------------------------------------------!
[2563]	576	! Description:
	577	! ------------
[2894]	578	!> This routine writes the respective restart data.
[4497]	579	!--------------------------------------------------------------------------------------------------!
	580	SUBROUTINE wtm_wrd_global
[2576]	581
	582
[4497]	583	IMPLICIT NONE
[2776]	584
[2894]	585
[4497]	586	IF ( TRIM( restart_data_format_output ) == 'fortran_binary' ) THEN
[2894]	587
[4497]	588	CALL wrd_write_string( 'generator_speed' )
	589	WRITE ( 14 ) generator_speed
[2894]	590
[4497]	591	CALL wrd_write_string( 'generator_speed_f' )
	592	WRITE ( 14 ) generator_speed_f
[2894]	593
[4497]	594	CALL wrd_write_string( 'generator_speed_f_old' )
	595	WRITE ( 14 ) generator_speed_f_old
[2894]	596
[4497]	597	CALL wrd_write_string( 'generator_speed_old' )
	598	WRITE ( 14 ) generator_speed_old
[2894]	599
[4497]	600	CALL wrd_write_string( 'rotor_speed' )
	601	WRITE ( 14 ) rotor_speed
[2894]	602
[4497]	603	CALL wrd_write_string( 'yaw_angle' )
	604	WRITE ( 14 ) yaw_angle
[2894]	605
[4497]	606	CALL wrd_write_string( 'pitch_angle' )
	607	WRITE ( 14 ) pitch_angle
[2894]	608
[4497]	609	CALL wrd_write_string( 'pitch_angle_old' )
	610	WRITE ( 14 ) pitch_angle_old
[2894]	611
[4497]	612	CALL wrd_write_string( 'torque_gen' )
	613	WRITE ( 14 ) torque_gen
[4495]	614
[4497]	615	CALL wrd_write_string( 'torque_gen_old' )
	616	WRITE ( 14 ) torque_gen_old
[4495]	617
[4535]	618	ELSEIF ( restart_data_format_output(1:3) == 'mpi' ) THEN
[4495]	619
[4497]	620	CALL wrd_mpi_io_global_array( 'generator_speed', generator_speed )
	621	CALL wrd_mpi_io_global_array( 'generator_speed_f', generator_speed_f )
	622	CALL wrd_mpi_io_global_array( 'generator_speed_f_old', generator_speed_f_old )
	623	CALL wrd_mpi_io_global_array( 'generator_speed_old', generator_speed_old )
	624	CALL wrd_mpi_io_global_array( 'rotor_speed', rotor_speed )
	625	CALL wrd_mpi_io_global_array( 'yaw_angle', yaw_angle )
	626	CALL wrd_mpi_io_global_array( 'pitch_angle', pitch_angle )
	627	CALL wrd_mpi_io_global_array( 'pitch_angle_old', pitch_angle_old )
	628	CALL wrd_mpi_io_global_array( 'torque_gen', torque_gen )
	629	CALL wrd_mpi_io_global_array( 'torque_gen_old', torque_gen_old )
[2563]	630
[4497]	631	ENDIF
[2563]	632
[4497]	633	END SUBROUTINE wtm_wrd_global
	634
	635
	636	!--------------------------------------------------------------------------------------------------!
[2563]	637	! Description:
	638	! ------------
[4495]	639	!> Read module-specific global restart data (Fortran binary format).
[4497]	640	!--------------------------------------------------------------------------------------------------!
[4495]	641	SUBROUTINE wtm_rrd_global_ftn( found )
[2563]	642
	643
[4497]	644	USE control_parameters, &
[2894]	645	ONLY: length, restart_string
	646
	647
[2563]	648	IMPLICIT NONE
	649
[4497]	650	LOGICAL, INTENT(OUT) :: found
[2563]	651
	652
[2894]	653	found = .TRUE.
[2563]	654
	655
[2894]	656	SELECT CASE ( restart_string(1:length) )
[2563]	657
[4447]	658	CASE ( 'generator_speed' )
	659	READ ( 13 ) generator_speed
	660	CASE ( 'generator_speed_f' )
	661	READ ( 13 ) generator_speed_f
	662	CASE ( 'generator_speed_f_old' )
	663	READ ( 13 ) generator_speed_f_old
	664	CASE ( 'generator_speed_old' )
	665	READ ( 13 ) generator_speed_old
	666	CASE ( 'rotor_speed' )
	667	READ ( 13 ) rotor_speed
	668	CASE ( 'yaw_angle' )
	669	READ ( 13 ) yaw_angle
	670	CASE ( 'pitch_angle' )
	671	READ ( 13 ) pitch_angle
	672	CASE ( 'pitch_angle_old' )
	673	READ ( 13 ) pitch_angle_old
[2894]	674	CASE ( 'torque_gen' )
	675	READ ( 13 ) torque_gen
	676	CASE ( 'torque_gen_old' )
	677	READ ( 13 ) torque_gen_old
[2563]	678
[2894]	679	CASE DEFAULT
[2563]	680
[2894]	681	found = .FALSE.
[2563]	682
[2894]	683	END SELECT
[2563]	684
[4497]	685
[4495]	686	END SUBROUTINE wtm_rrd_global_ftn
[2894]	687
	688
[2563]	689	!------------------------------------------------------------------------------!
	690	! Description:
	691	! ------------
[4495]	692	!> Read module-specific global restart data (MPI-IO).
	693	!------------------------------------------------------------------------------!
	694	SUBROUTINE wtm_rrd_global_mpi
	695
	696	CALL rrd_mpi_io_global_array( 'generator_speed', generator_speed )
	697	CALL rrd_mpi_io_global_array( 'generator_speed_f', generator_speed_f )
	698	CALL rrd_mpi_io_global_array( 'generator_speed_f_old', generator_speed_f_old )
	699	CALL rrd_mpi_io_global_array( 'generator_speed_old', generator_speed_old )
	700	CALL rrd_mpi_io_global_array( 'rotor_speed', rotor_speed )
	701	CALL rrd_mpi_io_global_array( 'yaw_angle', yaw_angle )
	702	CALL rrd_mpi_io_global_array( 'pitch_angle', pitch_angle )
	703	CALL rrd_mpi_io_global_array( 'pitch_angle_old', pitch_angle_old )
	704	CALL rrd_mpi_io_global_array( 'torque_gen', torque_gen )
	705	CALL rrd_mpi_io_global_array( 'torque_gen_old', torque_gen_old )
	706
	707	END SUBROUTINE wtm_rrd_global_mpi
	708
	709
[4497]	710	!--------------------------------------------------------------------------------------------------!
[4495]	711	! Description:
	712	! ------------
[2563]	713	!> Check namelist parameter
[4497]	714	!--------------------------------------------------------------------------------------------------!
	715	SUBROUTINE wtm_check_parameters
[1912]	716
[4497]	717	IMPLICIT NONE
[4436]	718
[4497]	719	IF ( .NOT. input_pids_wtm ) THEN
	720	IF ( ( .NOT.speed_control ) .AND. pitch_control ) THEN
	721	message_string = 'pitch_control = .TRUE. requires speed_control = .TRUE.'
	722	CALL message( 'wtm_check_parameters', 'PA0461', 1, 2, 0, 6, 0 )
	723	ENDIF
[4436]	724
[4497]	725	IF ( ANY( rotor_speed(1:n_turbines) < 0.0 ) ) THEN
	726	message_string = 'rotor_speed < 0.0, Please set rotor_speed to ' // &
	727	'a value equal or larger than zero'
	728	CALL message( 'wtm_check_parameters', 'PA0462', 1, 2, 0, 6, 0 )
	729	ENDIF
[4436]	730
[4497]	731	IF ( ANY( hub_x(1:n_turbines) == 9999999.9_wp ) .OR. &
	732	ANY( hub_y(1:n_turbines) == 9999999.9_wp ) .OR. &
	733	ANY( hub_z(1:n_turbines) == 9999999.9_wp ) ) THEN
[4436]	734
[4497]	735	message_string = 'hub_x, hub_y, hub_z have to be given for each turbine.'
	736	CALL message( 'wtm_check_parameters', 'PA0463', 1, 2, 0, 6, 0 )
[1912]	737	ENDIF
[4497]	738	ENDIF
	739
	740	END SUBROUTINE wtm_check_parameters
	741	!
	742	!--------------------------------------------------------------------------------------------------!
[1839]	743	! Description:
	744	! ------------
	745	!> Allocate wind turbine model arrays
[4497]	746	!--------------------------------------------------------------------------------------------------!
	747	SUBROUTINE wtm_init_arrays
[1839]	748
[4497]	749	IMPLICIT NONE
[1839]	750
[4497]	751	REAL(wp) :: delta_r_factor !<
	752	REAL(wp) :: delta_r_init !<
[1864]	753
[4436]	754	#if defined( __netcdf )
[1839]	755	!
[4497]	756	! Read wtm input file (netcdf) if it exists:
	757	IF ( input_pids_wtm ) THEN
[4434]	758
	759	!
[4497]	760	!-- Open the wtm input file:
	761	CALL open_read_file( TRIM( input_file_wtm ) // &
	762	TRIM( coupling_char ), pids_id )
[4434]	763
[4497]	764	CALL inquire_num_variables( pids_id, num_var_pids )
[4434]	765
	766	!
[4497]	767	!-- Allocate memory to store variable names and read them:
	768	ALLOCATE( vars_pids(1:num_var_pids) )
	769	CALL inquire_variable_names( pids_id, vars_pids )
[4434]	770
	771	!
[4497]	772	!-- Input of all wtm parameters:
	773	IF ( check_existence( vars_pids, 'tower_diameter' ) ) THEN
	774	CALL get_variable( pids_id, 'tower_diameter', tower_diameter(1:n_turbines) )
	775	ENDIF
[4434]	776
[4497]	777	IF ( check_existence( vars_pids, 'rotor_speed' ) ) THEN
	778	CALL get_variable( pids_id, 'rotor_speed', rotor_speed(1:n_turbines) )
	779	ENDIF
[4434]	780
[4497]	781	IF ( check_existence( vars_pids, 'pitch_angle' ) ) THEN
	782	CALL get_variable( pids_id, 'pitch_angle', pitch_angle(1:n_turbines) )
	783	ENDIF
[4434]	784
[4497]	785	IF ( check_existence( vars_pids, 'yaw_angle' ) ) THEN
	786	CALL get_variable( pids_id, 'yaw_angle', yaw_angle(1:n_turbines) )
	787	ENDIF
[4434]	788
[4497]	789	IF ( check_existence( vars_pids, 'hub_x' ) ) THEN
	790	CALL get_variable( pids_id, 'hub_x', hub_x(1:n_turbines) )
	791	ENDIF
[4434]	792
[4497]	793	IF ( check_existence( vars_pids, 'hub_y' ) ) THEN
	794	CALL get_variable( pids_id, 'hub_y', hub_y(1:n_turbines) )
	795	ENDIF
[4434]	796
[4497]	797	IF ( check_existence( vars_pids, 'hub_z' ) ) THEN
	798	CALL get_variable( pids_id, 'hub_z', hub_z(1:n_turbines) )
	799	ENDIF
[4434]	800
[4497]	801	IF ( check_existence( vars_pids, 'nacelle_radius' ) ) THEN
	802	CALL get_variable( pids_id, 'nacelle_radius', nacelle_radius(1:n_turbines) )
	803	ENDIF
[4434]	804
[4497]	805	IF ( check_existence( vars_pids, 'rotor_radius' ) ) THEN
	806	CALL get_variable( pids_id, 'rotor_radius', rotor_radius(1:n_turbines) )
	807	ENDIF
	808	!
	809	! IF ( check_existence( vars_pids, 'nacelle_cd' ) ) THEN
	810	! CALL get_variable( pids_id, 'nacelle_cd', nacelle_cd(1:n_turbines) )
	811	! ENDIF
[4434]	812
[4497]	813	IF ( check_existence( vars_pids, 'tower_cd' ) ) THEN
	814	CALL get_variable( pids_id, 'tower_cd', tower_cd(1:n_turbines) )
	815	ENDIF
[4434]	816	!
[4497]	817	!-- Close wtm input file:
	818	CALL close_input_file( pids_id )
[4434]	819
[4497]	820	ENDIF
[4434]	821	#endif
	822
	823	!
[4497]	824	!-- To be able to allocate arrays with dimension of rotor rings and segments,
	825	!-- the maximum possible numbers of rings and segments have to be calculated:
	826	ALLOCATE( nrings(1:n_turbines) )
	827	ALLOCATE( delta_r(1:n_turbines) )
[1819]	828
[4497]	829	nrings(:) = 0
	830	delta_r(:) = 0.0_wp
[1819]	831
	832	!
[4497]	833	!-- Thickness (radial) of each ring and length (tangential) of each segment:
	834	delta_r_factor = segment_width_radial
	835	delta_t_factor = segment_length_tangential
	836	delta_r_init = delta_r_factor * MIN( dx, dy, dz(1) )
[1819]	837
[4497]	838	DO inot = 1, n_turbines
[1819]	839	!
[4497]	840	!-- Determine number of rings:
	841	nrings(inot) = NINT( rotor_radius(inot) / delta_r_init )
[1819]	842
[4497]	843	delta_r(inot) = rotor_radius(inot) / nrings(inot)
[1819]	844
[4497]	845	ENDDO
[1819]	846
[4497]	847	nrings_max = MAXVAL( nrings )
[1819]	848
[4497]	849	ALLOCATE( nsegs(1:nrings_max,1:n_turbines) )
	850	ALLOCATE( nsegs_total(1:n_turbines) )
[1819]	851
[4497]	852	nsegs(:,:) = 0
	853	nsegs_total(:) = 0
[1819]	854
	855
[4497]	856	DO inot = 1, n_turbines
	857	DO ring = 1, nrings(inot)
[1819]	858	!
[4497]	859	!-- Determine number of segments for each ring:
	860	nsegs(ring,inot) = MAX( 8, CEILING( delta_r_factor * pi * ( 2.0_wp * ring - 1.0_wp ) / &
	861	delta_t_factor ) )
	862	ENDDO
[1819]	863	!
[4497]	864	!-- Total sum of all rotor segments:
	865	nsegs_total(inot) = SUM( nsegs(:,inot) )
	866	ENDDO
[1819]	867
	868	!
[4497]	869	!-- Maximum number of segments per ring:
	870	nsegs_max = MAXVAL( nsegs )
[1819]	871
[1864]	872	!!
[4497]	873	!!-- TODO: Folgendes im Header ausgeben!
	874	! IF ( myid == 0 ) THEN
	875	! PRINT*, 'nrings(1) = ', nrings(1)
	876	! PRINT*, '----------------------------------------------------------------------------------'
	877	! PRINT*, 'nsegs(:,1) = ', nsegs(:,1)
	878	! PRINT*, '----------------------------------------------------------------------------------'
	879	! PRINT*, 'nrings_max = ', nrings_max
	880	! PRINT*, 'nsegs_max = ', nsegs_max
	881	! PRINT*, 'nsegs_total(1) = ', nsegs_total(1)
	882	! ENDIF
[1819]	883
	884
	885	!
[4497]	886	!-- Allocate 1D arrays (dimension = number of turbines):
	887	ALLOCATE( i_hub(1:n_turbines) )
	888	ALLOCATE( i_smear(1:n_turbines) )
	889	ALLOCATE( j_hub(1:n_turbines) )
	890	ALLOCATE( j_smear(1:n_turbines) )
	891	ALLOCATE( k_hub(1:n_turbines) )
	892	ALLOCATE( k_smear(1:n_turbines) )
	893	ALLOCATE( torque_total(1:n_turbines) )
	894	ALLOCATE( thrust_rotor(1:n_turbines) )
[1819]	895
	896	!
[4497]	897	!-- Allocation of the 1D arrays for yaw control:
	898	ALLOCATE( yawdir(1:n_turbines) )
	899	ALLOCATE( u_inflow(1:n_turbines) )
	900	ALLOCATE( wdir(1:n_turbines) )
	901	ALLOCATE( u_inflow_l(1:n_turbines) )
	902	ALLOCATE( wdir_l(1:n_turbines) )
	903	ALLOCATE( yaw_angle_l(1:n_turbines) )
	904
[1819]	905	!
[4497]	906	!-- Allocate 1D arrays (dimension = number of rotor segments):
	907	ALLOCATE( alpha_attack(1:nsegs_max) )
	908	ALLOCATE( chord(1:nsegs_max) )
	909	ALLOCATE( phi_rel(1:nsegs_max) )
	910	ALLOCATE( thrust_seg(1:nsegs_max) )
	911	ALLOCATE( torque_seg_y(1:nsegs_max) )
	912	ALLOCATE( torque_seg_z(1:nsegs_max) )
	913	ALLOCATE( turb_cd(1:nsegs_max) )
	914	ALLOCATE( turb_cl(1:nsegs_max) )
	915	ALLOCATE( vrel(1:nsegs_max) )
	916	ALLOCATE( vtheta(1:nsegs_max) )
[1819]	917
	918	!
[4497]	919	!-- Allocate 2D arrays (dimension = number of rotor rings and segments):
	920	ALLOCATE( rbx(1:nrings_max,1:nsegs_max) )
	921	ALLOCATE( rby(1:nrings_max,1:nsegs_max) )
	922	ALLOCATE( rbz(1:nrings_max,1:nsegs_max) )
	923	ALLOCATE( thrust_ring(1:nrings_max,1:nsegs_max) )
	924	ALLOCATE( torque_ring_y(1:nrings_max,1:nsegs_max) )
	925	ALLOCATE( torque_ring_z(1:nrings_max,1:nsegs_max) )
[1819]	926
	927	!
[4497]	928	!-- Allocate additional 2D arrays:
	929	ALLOCATE( rotx(1:n_turbines,1:3) )
	930	ALLOCATE( roty(1:n_turbines,1:3) )
	931	ALLOCATE( rotz(1:n_turbines,1:3) )
[1819]	932
	933	!
[4497]	934	!-- Allocate 3D arrays (dimension = number of grid points):
	935	ALLOCATE( nac_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	936	ALLOCATE( rot_tend_x(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	937	ALLOCATE( rot_tend_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	938	ALLOCATE( rot_tend_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	939	ALLOCATE( thrust(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	940	ALLOCATE( torque_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	941	ALLOCATE( torque_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	942	ALLOCATE( tow_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	943
	944	!
[4497]	945	!-- Allocate additional 3D arrays:
	946	ALLOCATE( u_int(1:n_turbines,1:nrings_max,1:nsegs_max) )
	947	ALLOCATE( u_int_1_l(1:n_turbines,1:nrings_max,1:nsegs_max) )
	948	ALLOCATE( v_int(1:n_turbines,1:nrings_max,1:nsegs_max) )
	949	ALLOCATE( v_int_1_l(1:n_turbines,1:nrings_max,1:nsegs_max) )
	950	ALLOCATE( w_int(1:n_turbines,1:nrings_max,1:nsegs_max) )
	951	ALLOCATE( w_int_1_l(1:n_turbines,1:nrings_max,1:nsegs_max) )
[1819]	952
	953	!
[4497]	954	!-- All of the arrays are initialized with a value of zero:
	955	i_hub(:) = 0
	956	i_smear(:) = 0
	957	j_hub(:) = 0
	958	j_smear(:) = 0
	959	k_hub(:) = 0
	960	k_smear(:) = 0
[1819]	961
[4497]	962	torque_total(:) = 0.0_wp
	963	thrust_rotor(:) = 0.0_wp
[2563]	964
[4497]	965	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	966	generator_speed(:) = 0.0_wp
	967	generator_speed_old(:) = 0.0_wp
	968	generator_speed_f(:) = 0.0_wp
	969	generator_speed_f_old(:) = 0.0_wp
	970	pitch_angle_old(:) = 0.0_wp
	971	torque_gen(:) = 0.0_wp
	972	torque_gen_old(:) = 0.0_wp
	973	ENDIF
[1819]	974
[4497]	975	yawdir(:) = 0.0_wp
	976	wdir_l(:) = 0.0_wp
	977	wdir(:) = 0.0_wp
	978	u_inflow(:) = 0.0_wp
	979	u_inflow_l(:) = 0.0_wp
	980	yaw_angle_l(:) = 0.0_wp
	981
[1819]	982	!
[4497]	983	!-- Allocate 1D arrays (dimension = number of rotor segments):
	984	alpha_attack(:) = 0.0_wp
	985	chord(:) = 0.0_wp
	986	phi_rel(:) = 0.0_wp
	987	thrust_seg(:) = 0.0_wp
	988	torque_seg_y(:) = 0.0_wp
	989	torque_seg_z(:) = 0.0_wp
	990	turb_cd(:) = 0.0_wp
	991	turb_cl(:) = 0.0_wp
	992	vrel(:) = 0.0_wp
	993	vtheta(:) = 0.0_wp
[1819]	994
[4497]	995	rbx(:,:) = 0.0_wp
	996	rby(:,:) = 0.0_wp
	997	rbz(:,:) = 0.0_wp
	998	thrust_ring(:,:) = 0.0_wp
	999	torque_ring_y(:,:) = 0.0_wp
	1000	torque_ring_z(:,:) = 0.0_wp
[1819]	1001
[4497]	1002	rotx(:,:) = 0.0_wp
	1003	roty(:,:) = 0.0_wp
	1004	rotz(:,:) = 0.0_wp
[1819]	1005
[4497]	1006	nac_cd_surf(:,:,:) = 0.0_wp
	1007	rot_tend_x(:,:,:) = 0.0_wp
	1008	rot_tend_y(:,:,:) = 0.0_wp
	1009	rot_tend_z(:,:,:) = 0.0_wp
	1010	thrust(:,:,:) = 0.0_wp
	1011	torque_y(:,:,:) = 0.0_wp
	1012	torque_z(:,:,:) = 0.0_wp
	1013	tow_cd_surf(:,:,:) = 0.0_wp
[1819]	1014
[4497]	1015	u_int(:,:,:) = 0.0_wp
	1016	u_int_1_l(:,:,:) = 0.0_wp
	1017	v_int(:,:,:) = 0.0_wp
	1018	v_int_1_l(:,:,:) = 0.0_wp
	1019	w_int(:,:,:) = 0.0_wp
	1020	w_int_1_l(:,:,:) = 0.0_wp
[1819]	1021
	1022
[4497]	1023	END SUBROUTINE wtm_init_arrays
[1819]	1024
	1025
[4497]	1026	!--------------------------------------------------------------------------------------------------!
[1819]	1027	! Description:
	1028	! ------------
[1839]	1029	!> Initialization of the wind turbine model
[4497]	1030	!--------------------------------------------------------------------------------------------------!
	1031	SUBROUTINE wtm_init
[1819]	1032
[4457]	1033
[4497]	1034	USE control_parameters, &
	1035	ONLY: dz_stretch_level_start
[1819]	1036
[4497]	1037	USE exchange_horiz_mod, &
	1038	ONLY: exchange_horiz
	1039
	1040	IMPLICIT NONE
	1041
	1042
	1043
	1044	INTEGER(iwp) :: i !< running index
	1045	INTEGER(iwp) :: j !< running index
	1046	INTEGER(iwp) :: k !< running index
	1047
	1048
[1819]	1049	!
[4497]	1050	!-- Help variables for the smearing function:
	1051	REAL(wp) :: eps_kernel !<
	1052
[1839]	1053	!
[4497]	1054	!-- Help variables for calculation of the tower drag:
	1055	INTEGER(iwp) :: tower_n !<
	1056	INTEGER(iwp) :: tower_s !<
[1819]	1057
[4497]	1058	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacb !<
	1059	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacl !<
	1060	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacr !<
	1061	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nact !<
	1062
	1063	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: circle_points !<
	1064
	1065
	1066	IF ( debug_output ) CALL debug_message( 'wtm_init', 'start' )
	1067
	1068	ALLOCATE( index_nacb(1:n_turbines) )
	1069	ALLOCATE( index_nacl(1:n_turbines) )
	1070	ALLOCATE( index_nacr(1:n_turbines) )
	1071	ALLOCATE( index_nact(1:n_turbines) )
	1072
[1839]	1073	!
[4497]	1074	!--------------------------------------------------------------------------------------------------!
	1075	!-- Calculation of parameters for the regularization kernel (smearing of the forces)
	1076	!--------------------------------------------------------------------------------------------------!
[1819]	1077	!
[4497]	1078	!-- In the following, some of the required parameters for the smearing will be calculated:
[1819]	1079
[4497]	1080	!-- The kernel is set equal to twice the grid spacing which has turned out to be a reasonable
	1081	!-- value (see e.g. Troldborg et al. (2013), Wind Energy, DOI: 10.1002/we.1608):
[4528]	1082	eps_kernel = smearing_kernel_size * dx
[1819]	1083	!
[4497]	1084	!-- The zero point (eps_min) of the polynomial function must be the following if the integral of
	1085	!-- the polynomial function (for values < eps_min) shall be equal to the integral of the Gaussian
	1086	!-- function used before:
	1087	eps_min = ( 105.0_wp / 32.0_wp )*( 1.0_wp / 3.0_wp ) &
	1088	pi*( 1.0_wp / 6.0_wp ) eps_kernel
[1819]	1089	!
[4497]	1090	!-- Stretching (non-uniform grid spacing) is not considered in the wind turbine model.
	1091	!-- Therefore, vertical stretching has to be applied above the area where the wtm is active.
	1092	!-- ABS (...) is required because the default value of dz_stretch_level_start is -9999999.9_wp
	1093	!-- (negative):
	1094	IF ( ABS( dz_stretch_level_start(1) ) <= MAXVAL( hub_z(1:n_turbines) ) + &
	1095	MAXVAL( rotor_radius(1:n_turbines) ) + &
	1096	eps_min) THEN
	1097	WRITE( message_string, * ) 'The lowest level where vertical stretching is applied has ' // &
	1098	'to be greater than ',MAXVAL( hub_z(1:n_turbines) ) &
	1099	+ MAXVAL( rotor_radius(1:n_turbines) ) + eps_min
	1100	CALL message( 'wtm_init', 'PA0484', 1, 2, 0, 6, 0 )
	1101	ENDIF
[3065]	1102	!
[4497]	1103	!-- Square of eps_min:
	1104	eps_min2 = eps_min**2
[1819]	1105	!
[4497]	1106	!-- Parameters in the polynomial function:
	1107	pol_a = 1.0_wp / eps_min**4
	1108	pol_b = 2.0_wp / eps_min**2
[1819]	1109	!
[4497]	1110	!-- Normalization factor which is the inverse of the integral of the smearing function:
	1111	eps_factor = 105.0_wp / ( 32.0_wp * pi * eps_min**3 )
	1112
	1113	!-- Change tilt angle to rad:
	1114	tilt_angle = tilt_angle * pi / 180.0_wp
	1115
[1819]	1116	!
[4497]	1117	!-- Change yaw angle to rad:
	1118	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	1119	yaw_angle(:) = yaw_angle(:) * pi / 180.0_wp
	1120	ENDIF
[1819]	1121
[1864]	1122
[4497]	1123	DO inot = 1, n_turbines
[1819]	1124	!
[4497]	1125	!-- Rotate the rotor coordinates in case yaw and tilt are defined:
	1126	CALL wtm_rotate_rotor( inot )
	1127
[1819]	1128	!
[4497]	1129	!-- Determine the indices of the hub height:
	1130	i_hub(inot) = INT( hub_x(inot) / dx )
	1131	j_hub(inot) = INT( ( hub_y(inot) + 0.5_wp * dy ) / dy )
	1132	k_hub(inot) = INT( ( hub_z(inot) + 0.5_wp * dz(1) ) / dz(1) )
[1819]	1133
	1134	!
[4497]	1135	!-- Determining the area to which the smearing of the forces is applied.
	1136	!-- As smearing now is effectively applied only for distances smaller than eps_min, the
	1137	!-- smearing area can be further limited and regarded as a function of eps_min:
	1138	i_smear(inot) = CEILING( ( rotor_radius(inot) + eps_min ) / dx )
	1139	j_smear(inot) = CEILING( ( rotor_radius(inot) + eps_min ) / dy )
	1140	k_smear(inot) = CEILING( ( rotor_radius(inot) + eps_min ) / dz(1) )
[1819]	1141
[4497]	1142	ENDDO
	1143
[1819]	1144	!
[4497]	1145	!-- Call the wtm_init_speed_control subroutine and calculate the local rotor_speed for the
	1146	!-- respective processor:
	1147	IF ( speed_control) THEN
[2792]	1148
[4497]	1149	CALL wtm_init_speed_control
[2792]	1150
[4497]	1151	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
[2792]	1152
[4497]	1153	DO inot = 1, n_turbines
[2792]	1154
[4497]	1155	IF ( nxl > i_hub(inot) ) THEN
	1156	torque_gen(inot) = 0.0_wp
	1157	generator_speed_f(inot) = 0.0_wp
	1158	rotor_speed_l(inot) = 0.0_wp
	1159	ENDIF
[2792]	1160
[4497]	1161	IF ( nxr < i_hub(inot) ) THEN
	1162	torque_gen(inot) = 0.0_wp
	1163	generator_speed_f(inot) = 0.0_wp
	1164	rotor_speed_l(inot) = 0.0_wp
	1165	ENDIF
[2792]	1166
[4497]	1167	IF ( nys > j_hub(inot) ) THEN
	1168	torque_gen(inot) = 0.0_wp
	1169	generator_speed_f(inot) = 0.0_wp
	1170	rotor_speed_l(inot) = 0.0_wp
	1171	ENDIF
[2792]	1172
[4497]	1173	IF ( nyn < j_hub(inot) ) THEN
	1174	torque_gen(inot) = 0.0_wp
	1175	generator_speed_f(inot) = 0.0_wp
	1176	rotor_speed_l(inot) = 0.0_wp
	1177	ENDIF
[2792]	1178
[4497]	1179	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) THEN
	1180	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) ) THEN
[2792]	1181
[4497]	1182	rotor_speed_l(inot) = generator_speed(inot) / gear_ratio
	1183
[2792]	1184	ENDIF
[4497]	1185	ENDIF
[2792]	1186
[4497]	1187	END DO
[2792]	1188
	1189	ENDIF
	1190
[4497]	1191	ENDIF
	1192
[2792]	1193	!
[4497]	1194	!--------------------------------------------------------------------------------------------------!
	1195	!-- Determine the area within each grid cell that overlaps with the area of the nacelle and the
	1196	!-- tower (needed for calculation of the forces)
	1197	!--------------------------------------------------------------------------------------------------!
[1819]	1198	!
[4497]	1199	!-- Note: so far this is only a 2D version, in that the mean flow is perpendicular to the rotor
	1200	!-- area.
[1819]	1201
	1202	!
[4497]	1203	!-- Allocation of the array containing information on the intersection points between rotor disk
	1204	!-- and the numerical grid:
	1205	upper_end = ( ny + 1 ) * 10000
[1819]	1206
[4497]	1207	ALLOCATE( circle_points(1:2,1:upper_end) )
[1819]	1208
[4497]	1209	circle_points(:,:) = 0.0_wp
	1210
	1211
	1212	DO inot = 1, n_turbines ! loop over number of turbines
[1819]	1213	!
[4497]	1214	!-- Determine the grid index (u-grid) that corresponds to the location of the rotor center
	1215	!-- (reduces the amount of calculations in the case that the mean flow is perpendicular to the
	1216	!-- rotor area):
	1217	i = i_hub(inot)
[1819]	1218
	1219	!
[4497]	1220	!-- Determine the left and the right edge of the nacelle (corresponding grid point indices):
	1221	index_nacl(inot) = INT( ( hub_y(inot) - nacelle_radius(inot) + 0.5_wp * dy ) / dy )
	1222	index_nacr(inot) = INT( ( hub_y(inot) + nacelle_radius(inot) + 0.5_wp * dy ) / dy )
[1819]	1223	!
[4497]	1224	!-- Determine the bottom and the top edge of the nacelle (corresponding grid point indices).
	1225	!-- The grid point index has to be increased by 1, as the first level for the u-component
	1226	!-- (index 0) is situated below the surface. All points between z=0 and z=dz/s would already
	1227	!-- be contained in grid box 1:
	1228	index_nacb(inot) = INT( ( hub_z(inot) - nacelle_radius(inot) ) / dz(1) ) + 1
	1229	index_nact(inot) = INT( ( hub_z(inot) + nacelle_radius(inot) ) / dz(1) ) + 1
[1819]	1230
	1231	!
[4497]	1232	!-- Determine the indices of the grid boxes containing the left and the right boundaries of
	1233	!-- the tower:
	1234	tower_n = ( hub_y(inot) + 0.5_wp * tower_diameter(inot) - 0.5_wp * dy ) / dy
	1235	tower_s = ( hub_y(inot) - 0.5_wp * tower_diameter(inot) - 0.5_wp * dy ) / dy
[1819]	1236
	1237	!
[4497]	1238	!-- Determine the fraction of the grid box area overlapping with the tower area and multiply
	1239	!-- it with the drag of the tower:
	1240	IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1819]	1241
[4497]	1242	DO j = nys, nyn
[1819]	1243	!
[4497]	1244	!-- Loop from south to north boundary of tower:
	1245	IF ( ( j >= tower_s ) .AND. ( j <= tower_n ) ) THEN
[1839]	1246
[4497]	1247	DO k = nzb, nzt
[1819]	1248
[4497]	1249	IF ( k == k_hub(inot) ) THEN
	1250	IF ( tower_n - tower_s >= 1 ) THEN
[1839]	1251	!
[4497]	1252	!-- Leftmost and rightmost grid box:
	1253	IF ( j == tower_s ) THEN
	1254	tow_cd_surf(k,j,i) = ( hub_z(inot) - &
	1255	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) ) * & ! extension in z-direction
	1256	( ( tower_s + 1.0_wp + 0.5_wp ) * dy - &
	1257	( hub_y(inot) - 0.5_wp * tower_diameter(inot) ) ) * & ! extension in y-direction
	1258	tower_cd(inot)
	1259
	1260	ELSEIF ( j == tower_n ) THEN
	1261	tow_cd_surf(k,j,i) = ( hub_z(inot) - &
	1262	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) ) * & ! extension in z-direction
	1263	( ( hub_y(inot) + 0.5_wp * tower_diameter(inot) ) - &
	1264	( tower_n + 0.5_wp ) * dy ) * & ! extension in y-direction
	1265	tower_cd(inot)
[1819]	1266	!
[4497]	1267	!-- Grid boxes inbetween (where tow_cd_surf = grid box area):
[1819]	1268	ELSE
[4497]	1269	tow_cd_surf(k,j,i) = ( hub_z(inot) - &
	1270	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) ) * dy * &
	1271	tower_cd(inot)
[1819]	1272	ENDIF
[1839]	1273	!
[4497]	1274	!-- Tower lies completely within one grid box:
	1275	ELSE
	1276	tow_cd_surf(k,j,i) = ( hub_z(inot) - ( k_hub(inot) * &
	1277	dz(1) - 0.5_wp * dz(1) ) ) * &
	1278	tower_diameter(inot) * tower_cd(inot)
	1279	ENDIF
[1839]	1280	!
[4497]	1281	!-- In case that k is smaller than k_hub the following actions are carried out:
	1282	ELSEIF ( k < k_hub(inot) ) THEN
	1283
	1284	IF ( ( tower_n - tower_s ) >= 1 ) THEN
[1839]	1285	!
[4497]	1286	!-- Leftmost and rightmost grid box:
	1287	IF ( j == tower_s ) THEN
	1288	tow_cd_surf(k,j,i) = dz(1) * ( ( tower_s + 1 + 0.5_wp ) * dy - &
	1289	( hub_y(inot) - 0.5_wp * tower_diameter(inot) ) ) &
	1290	* tower_cd(inot)
	1291
	1292	ELSEIF ( j == tower_n ) THEN
	1293	tow_cd_surf(k,j,i) = dz(1) * ( ( hub_y(inot) + 0.5_wp * &
	1294	tower_diameter(inot) ) - ( tower_n + 0.5_wp ) &
	1295	* dy ) * tower_cd(inot)
[1839]	1296	!
[4497]	1297	!-- Grid boxes inbetween (where tow_cd_surf = grid box area):
[1819]	1298	ELSE
[4497]	1299	tow_cd_surf(k,j,i) = dz(1) * dy * tower_cd(inot)
	1300	ENDIF
	1301	!
	1302	!-- Tower lies completely within one grid box:
	1303	ELSE
	1304	tow_cd_surf(k,j,i) = dz(1) * tower_diameter(inot) * tower_cd(inot)
	1305	ENDIF ! end if larger than grid box
[1839]	1306
[4497]	1307	ENDIF ! end if k == k_hub
[1839]	1308
[4497]	1309	ENDDO ! end loop over k
[1839]	1310
[4497]	1311	ENDIF ! end if inside north and south boundary of tower
[1839]	1312
[4497]	1313	ENDDO ! end loop over j
[1839]	1314
[4497]	1315	ENDIF ! end if hub inside domain + ghostpoints
[1819]	1316
[4497]	1317
	1318	CALL exchange_horiz( tow_cd_surf, nbgp )
	1319
[1839]	1320	!
[4497]	1321	!-- Calculation of the nacelle area
	1322	!-- CAUTION: Currently disabled due to segmentation faults on the FLOW HPC cluster (Oldenburg)
[1864]	1323	!!
[4497]	1324	!!-- Tabulate the points on the circle that are required in the following for the calculation
	1325	!!-- of the Riemann integral (node points; they are called circle_points in the following):
[1864]	1326	!
[4497]	1327	! dy_int = dy / 10000.0_wp
[1864]	1328	!
[4497]	1329	! DO i_ip = 1, upper_end
	1330	! yvalue = dy_int * ( i_ip - 0.5_wp ) + 0.5_wp * dy !<--- segmentation fault
	1331	! sqrt_arg = nacelle_radius(inot)2 - ( yvalue - hub_y(inot) )2 !<--- segmentation fault
	1332	! IF ( sqrt_arg >= 0.0_wp ) THEN
[1864]	1333	!!
[4497]	1334	!!-- bottom intersection point
	1335	! circle_points(1,i_ip) = hub_z(inot) - SQRT( sqrt_arg )
[1864]	1336	!!
[4497]	1337	!!-- top intersection point
	1338	! circle_points(2,i_ip) = hub_z(inot) + SQRT( sqrt_arg ) !<--- segmentation fault
	1339	! ELSE
	1340	! circle_points(:,i_ip) = -111111 !<--- segmentation fault
	1341	! ENDIF
	1342	! ENDDO
[1864]	1343	!
	1344	!
[4497]	1345	! DO j = nys, nyn
[1864]	1346	!!
[4497]	1347	!!-- In case that the grid box is located completely outside the nacelle (y) it can
	1348	!!-- automatically be stated that there is no overlap between the grid box and the nacelle
	1349	!!-- and consequently we can set nac_cd_surf(:,j,i) = 0.0:
	1350	! IF ( ( j >= index_nacl(inot) ) .AND. ( j <= index_nacr(inot) ) ) THEN
	1351	! DO k = nzb+1, nzt
[1864]	1352	!!
[4497]	1353	!!-- In case that the grid box is located completely outside the nacelle (z) it can
	1354	!!-- automatically be stated that there is no overlap between the grid box and the
	1355	!!-- nacelle and consequently we can set nac_cd_surf(k,j,i) = 0.0:
	1356	! IF ( ( k >= index_nacb(inot) ) .OR. &
	1357	! ( k <= index_nact(inot) ) ) THEN
[1864]	1358	!!
[4497]	1359	!!-- For all other cases Riemann integrals are calculated. Here, the points on the
	1360	!!-- circle that have been determined above are used in order to calculate the
	1361	!!-- overlap between the gridbox and the nacelle area (area approached by 10000
	1362	!!-- rectangulars dz_int * dy_int):
	1363	! DO i_ipg = 1, 10000
	1364	! dz_int = dz
	1365	! i_ip = j * 10000 + i_ipg
[1864]	1366	!!
[4497]	1367	!!-- Determine the vertical extension dz_int of the circle within the current
	1368	!!-- grid box:
	1369	! IF ( ( circle_points(2,i_ip) < zw(k) ) .AND. & !<--- segmentation fault
	1370	! ( circle_points(2,i_ip) >= zw(k-1) ) ) THEN
	1371	! dz_int = dz_int - & !<--- segmentation fault
	1372	! ( zw(k) - circle_points(2,i_ip) )
	1373	! ENDIF
	1374	! IF ( ( circle_points(1,i_ip) <= zw(k) ) .AND. & !<--- segmentation fault
	1375	! ( circle_points(1,i_ip) > zw(k-1) ) ) THEN
	1376	! dz_int = dz_int - &
	1377	! ( circle_points(1,i_ip) - zw(k-1) )
	1378	! ENDIF
	1379	! IF ( zw(k-1) > circle_points(2,i_ip) ) THEN
	1380	! dz_int = 0.0_wp
	1381	! ENDIF
	1382	! IF ( zw(k) < circle_points(1,i_ip) ) THEN
	1383	! dz_int = 0.0_wp
	1384	! ENDIF
	1385	! IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
	1386	! nac_cd_surf(k,j,i) = nac_cd_surf(k,j,i) + & !<--- segmentation fault
	1387	! dy_int * dz_int * nacelle_cd(inot)
	1388	! ENDIF
	1389	! ENDDO
	1390	! ENDIF
	1391	! ENDDO
	1392	! ENDIF
	1393	!
	1394	! ENDDO
	1395	!
	1396	! CALL exchange_horiz( nac_cd_surf, nbgp ) !<--- segmentation fault
[1819]	1397
[4497]	1398	ENDDO ! end of loop over turbines
[1819]	1399
[4497]	1400	tow_cd_surf = tow_cd_surf / ( dx * dy * dz(1) ) ! Normalize tower drag
	1401	nac_cd_surf = nac_cd_surf / ( dx * dy * dz(1) ) ! Normalize nacelle drag
[1819]	1402
[4497]	1403	CALL wtm_read_blade_tables
[3685]	1404
[4497]	1405	IF ( debug_output ) CALL debug_message( 'wtm_init', 'end' )
[1864]	1406
[4497]	1407	END SUBROUTINE wtm_init
[1864]	1408
[4497]	1409
	1410
[4423]	1411	SUBROUTINE wtm_init_output
[4497]	1412
	1413
	1414	! INTEGER(iwp) :: ntimesteps !< number of timesteps defined in NetCDF output file
	1415	! INTEGER(iwp) :: ntimesteps_max = 80000 !< number of maximum timesteps defined in NetCDF output file
	1416	INTEGER(iwp) :: return_value !< returned status value of called function
	1417
	1418	INTEGER(iwp) :: n !< running index
	1419
	1420	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ndim !< dummy to write dimension
	1421
	1422
[4411]	1423	!
[4497]	1424	!-- Create NetCDF output file:
[4465]	1425	#if defined( __netcdf4 )
	1426	nc_filename = 'DATA_1D_TS_WTM_NETCDF' // TRIM( coupling_char )
[4423]	1427	return_value = dom_def_file( nc_filename, 'netcdf4-serial' )
[4465]	1428	#else
[4497]	1429	message_string = 'Wind turbine model output requires NetCDF version 4. ' // &
[4465]	1430	'No output file will be created.'
[4497]	1431	CALL message( 'wtm_init_output', 'PA0672', 0, 1, 0, 6, 0 )
[4465]	1432	#endif
[4423]	1433	IF ( myid == 0 ) THEN
[4411]	1434	!
[4497]	1435	!-- Define dimensions in output file:
[4447]	1436	ALLOCATE( ndim(1:n_turbines) )
	1437	DO n = 1, n_turbines
[4411]	1438	ndim(n) = n
	1439	ENDDO
[4497]	1440	return_value = dom_def_dim( nc_filename, &
	1441	dimension_name = 'turbine', &
	1442	output_type = 'int32', &
	1443	bounds = (/1_iwp, n_turbines/), &
[4411]	1444	values_int32 = ndim )
	1445	DEALLOCATE( ndim )
	1446
[4497]	1447	return_value = dom_def_dim( nc_filename, &
	1448	dimension_name = 'time', &
	1449	output_type = 'real32', &
	1450	bounds = (/1_iwp/), &
[4426]	1451	values_realwp = (/0.0_wp/) )
[4497]	1452
[4411]	1453	variable_name = 'x'
[4497]	1454	return_value = dom_def_var( nc_filename, &
	1455	variable_name = variable_name, &
	1456	dimension_names = (/'turbine'/), &
[4411]	1457	output_type = 'real32' )
[4465]	1458
[4411]	1459	variable_name = 'y'
[4497]	1460	return_value = dom_def_var( nc_filename, &
	1461	variable_name = variable_name, &
	1462	dimension_names = (/'turbine'/), &
[4411]	1463	output_type = 'real32' )
	1464
	1465	variable_name = 'z'
[4497]	1466	return_value = dom_def_var( nc_filename, &
	1467	variable_name = variable_name, &
	1468	dimension_names = (/'turbine'/), &
[4411]	1469	output_type = 'real32' )
	1470
[4465]	1471
	1472	variable_name = 'rotor_diameter'
[4497]	1473	return_value = dom_def_var( nc_filename, &
	1474	variable_name = variable_name, &
	1475	dimension_names = (/'turbine'/), &
[4465]	1476	output_type = 'real32' )
	1477
	1478	variable_name = 'tower_diameter'
[4497]	1479	return_value = dom_def_var( nc_filename, &
	1480	variable_name = variable_name, &
	1481	dimension_names = (/'turbine'/), &
[4465]	1482	output_type = 'real32' )
	1483
[4497]	1484	return_value = dom_def_att( nc_filename, &
	1485	variable_name = 'time', &
	1486	attribute_name = 'units', &
[4411]	1487	value = 'seconds since ' // origin_date_time )
[4465]	1488
[4497]	1489	return_value = dom_def_att( nc_filename, &
	1490	variable_name = 'x', &
	1491	attribute_name = 'units', &
[4411]	1492	value = 'm' )
	1493
[4497]	1494	return_value = dom_def_att( nc_filename, &
	1495	variable_name = 'y', &
	1496	attribute_name = 'units', &
	1497	value = 'm' )
[4411]	1498
[4497]	1499	return_value = dom_def_att( nc_filename, &
	1500	variable_name = 'z', &
	1501	attribute_name = 'units', &
[4465]	1502	value = 'm' )
[4411]	1503
[4497]	1504	return_value = dom_def_att( nc_filename, &
	1505	variable_name = 'rotor_diameter', &
	1506	attribute_name = 'units', &
[4465]	1507	value = 'm' )
	1508
[4497]	1509	return_value = dom_def_att( nc_filename, &
	1510	variable_name = 'tower_diameter', &
	1511	attribute_name = 'units', &
[4465]	1512	value = 'm' )
	1513
[4497]	1514	return_value = dom_def_att( nc_filename, &
	1515	variable_name = 'x', &
	1516	attribute_name = 'long_name', &
[4411]	1517	value = 'x location of rotor center' )
	1518
[4497]	1519	return_value = dom_def_att( nc_filename, &
	1520	variable_name = 'y', &
	1521	attribute_name = 'long_name', &
	1522	value = 'y location of rotor center' )
[4411]	1523
[4497]	1524	return_value = dom_def_att( nc_filename, &
	1525	variable_name = 'z', &
	1526	attribute_name = 'long_name', &
	1527	value = 'z location of rotor center' )
[4465]	1528
[4497]	1529	return_value = dom_def_att( nc_filename, &
	1530	variable_name = 'turbine_name', &
	1531	attribute_name = 'long_name', &
[4465]	1532	value = 'turbine name')
	1533
[4497]	1534	return_value = dom_def_att( nc_filename, &
	1535	variable_name = 'rotor_diameter', &
	1536	attribute_name = 'long_name', &
[4465]	1537	value = 'rotor diameter')
	1538
[4497]	1539	return_value = dom_def_att( nc_filename, &
	1540	variable_name = 'tower_diameter', &
	1541	attribute_name = 'long_name', &
[4465]	1542	value = 'tower diameter')
	1543
[4497]	1544	return_value = dom_def_att( nc_filename, &
	1545	variable_name = 'time', &
	1546	attribute_name = 'standard_name', &
[4411]	1547	value = 'time')
	1548
[4497]	1549	return_value = dom_def_att( nc_filename, &
	1550	variable_name = 'time', &
	1551	attribute_name = 'axis', &
[4411]	1552	value = 'T')
	1553
[4497]	1554	return_value = dom_def_att( nc_filename, &
	1555	variable_name = 'x', &
	1556	attribute_name = 'axis', &
[4411]	1557	value = 'X' )
	1558
[4497]	1559	return_value = dom_def_att( nc_filename, &
	1560	variable_name = 'y', &
	1561	attribute_name = 'axis', &
[4465]	1562	value = 'Y' )
[4411]	1563
[4497]	1564
[4465]	1565	variable_name = 'generator_power'
[4497]	1566	return_value = dom_def_var( nc_filename, &
	1567	variable_name = variable_name, &
	1568	dimension_names = (/ 'turbine', 'time ' /), &
[4465]	1569	output_type = 'real32' )
[4411]	1570
[4497]	1571	return_value = dom_def_att( nc_filename, &
	1572	variable_name = variable_name, &
	1573	attribute_name = 'units', &
	1574	value = 'W' )
[4465]	1575
[4411]	1576	variable_name = 'generator_speed'
[4497]	1577	return_value = dom_def_var( nc_filename, &
	1578	variable_name = variable_name, &
	1579	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1580	output_type = 'real32' )
[4465]	1581
[4497]	1582	return_value = dom_def_att( nc_filename, &
	1583	variable_name = variable_name, &
	1584	attribute_name = 'units', &
[4411]	1585	value = 'rad/s' )
[4465]	1586
[4411]	1587	variable_name = 'generator_torque'
[4497]	1588	return_value = dom_def_var( nc_filename, &
	1589	variable_name = variable_name, &
	1590	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1591	output_type = 'real32' )
[4497]	1592
	1593	return_value = dom_def_att( nc_filename, &
	1594	variable_name = variable_name, &
	1595	attribute_name = 'units', &
[4411]	1596	value = 'Nm' )
	1597
	1598	variable_name = 'pitch_angle'
[4497]	1599	return_value = dom_def_var( nc_filename, &
	1600	variable_name = variable_name, &
	1601	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1602	output_type = 'real32' )
[4465]	1603
[4497]	1604	return_value = dom_def_att( nc_filename, &
	1605	variable_name = variable_name, &
	1606	attribute_name = 'units', &
[4465]	1607	value = 'degrees' )
	1608
	1609	variable_name = 'rotor_power'
[4497]	1610	return_value = dom_def_var( nc_filename, &
	1611	variable_name = variable_name, &
	1612	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1613	output_type = 'real32' )
[4465]	1614
[4497]	1615	return_value = dom_def_att( nc_filename, &
	1616	variable_name = variable_name, &
	1617	attribute_name = 'units', &
	1618	value = 'W' )
	1619
[4465]	1620	variable_name = 'rotor_speed'
[4497]	1621	return_value = dom_def_var( nc_filename, &
	1622	variable_name = variable_name, &
	1623	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1624	output_type = 'real32' )
[4497]	1625
	1626	return_value = dom_def_att( nc_filename, &
	1627	variable_name = variable_name, &
	1628	attribute_name = 'units', &
[4465]	1629	value = 'rad/s' )
	1630
	1631	variable_name = 'rotor_thrust'
[4497]	1632	return_value = dom_def_var( nc_filename, &
	1633	variable_name = variable_name, &
	1634	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1635	output_type = 'real32' )
[4465]	1636
[4497]	1637	return_value = dom_def_att( nc_filename, &
	1638	variable_name = variable_name, &
	1639	attribute_name = 'units', &
	1640	value = 'N' )
	1641
[4465]	1642	variable_name = 'rotor_torque'
[4497]	1643	return_value = dom_def_var( nc_filename, &
	1644	variable_name = variable_name, &
	1645	dimension_names = (/ 'turbine', 'time ' /), &
[4465]	1646	output_type = 'real32' )
[4497]	1647
	1648	return_value = dom_def_att( nc_filename, &
	1649	variable_name = variable_name, &
	1650	attribute_name = 'units', &
[4465]	1651	value = 'Nm' )
	1652
[4411]	1653	variable_name = 'wind_direction'
[4497]	1654	return_value = dom_def_var( nc_filename, &
	1655	variable_name = variable_name, &
	1656	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1657	output_type = 'real32' )
[4465]	1658
[4497]	1659	return_value = dom_def_att( nc_filename, &
	1660	variable_name = variable_name, &
	1661	attribute_name = 'units', &
	1662	value = 'degrees' )
	1663
[4411]	1664	variable_name = 'yaw_angle'
[4497]	1665	return_value = dom_def_var( nc_filename, &
	1666	variable_name = variable_name, &
	1667	dimension_names = (/ 'turbine', 'time ' /), &
[4411]	1668	output_type = 'real32' )
[4423]	1669
[4497]	1670	return_value = dom_def_att( nc_filename, &
	1671	variable_name = variable_name, &
	1672	attribute_name = 'units', &
	1673	value = 'degrees' )
	1674
[4465]	1675	ENDIF
[4423]	1676	END SUBROUTINE
[4497]	1677
	1678	!--------------------------------------------------------------------------------------------------!
[1864]	1679	! Description:
	1680	! ------------
[4497]	1681	!> Read in layout of the rotor blade , the lift and drag tables and the distribution of lift and
	1682	!> drag tables along the blade
	1683	!--------------------------------------------------------------------------------------------------!
[1912]	1684	!
[4497]	1685	SUBROUTINE wtm_read_blade_tables
[1819]	1686
[1839]	1687
[4497]	1688	IMPLICIT NONE
[1864]	1689
[4497]	1690	CHARACTER(200) :: chmess !< Read in string
[1839]	1691
[4497]	1692	INTEGER(iwp) :: ii !< running index
	1693	INTEGER(iwp) :: jj !< running index
[1839]	1694
[4497]	1695	INTEGER(iwp) :: ierrn !<
[1839]	1696
[4497]	1697	INTEGER(iwp) :: dlen !< no. rows of local table
	1698	INTEGER(iwp) :: dlenbl !< no. rows of cd, cl table
	1699	INTEGER(iwp) :: dlenbl_int !< no. rows of interpolated cd, cl tables
	1700	INTEGER(iwp) :: ialpha !< table position of current alpha value
	1701	INTEGER(iwp) :: iialpha !<
	1702	INTEGER(iwp) :: iir !<
	1703	INTEGER(iwp) :: radres !< radial resolution
	1704	INTEGER(iwp) :: t1 !< no. of airfoil
	1705	INTEGER(iwp) :: t2 !< no. of airfoil
	1706	INTEGER(iwp) :: trow !<
[1864]	1707
	1708
[4497]	1709	REAL(wp) :: alpha_attack_i !<
	1710	REAL(wp) :: weight_a !<
	1711	REAL(wp) :: weight_b !<
[1864]	1712
[4497]	1713	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint1 !<
	1714	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint2 !<
[1864]	1715
[4497]	1716	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel1 !<
	1717	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel2 !<
	1718	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel1 !<
	1719	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel2 !<
	1720	REAL(wp), DIMENSION(:), ALLOCATABLE :: read_cl_cd !< read in var array
[1864]	1721
[4497]	1722	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack_tab !<
	1723	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad1 !<
	1724	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad2 !<
	1725	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_table !<
	1726	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_table !<
[1864]	1727
[4497]	1728	ALLOCATE ( read_cl_cd(1:2 * n_airfoils + 1) )
[1864]	1729
[4497]	1730	!
	1731	!-- Read in the distribution of lift and drag tables along the blade, the layout of the rotor
	1732	!-- blade and the lift and drag tables:
	1733	OPEN ( 90, FILE='WTM_DATA', STATUS='OLD', FORM='FORMATTED', IOSTAT=ierrn )
[1864]	1734
[4497]	1735	IF ( ierrn /= 0 ) THEN
	1736	message_string = 'file WTM_DATA does not exist'
	1737	CALL message( 'wtm_init', 'PA0464', 1, 2, 0, 6, 0 )
	1738	ENDIF
[1864]	1739	!
[4497]	1740	!-- Read distribution table:
	1741	dlen = 0
[1864]	1742
[4497]	1743	READ ( 90, '(3/)' )
[1864]	1744
[4497]	1745	rloop3: DO
	1746	READ ( 90, *, IOSTAT=ierrn ) chmess
	1747	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop3
	1748	dlen = dlen + 1
	1749	ENDDO rloop3
[1864]	1750
[4497]	1751	ALLOCATE( trad1(1:dlen), trad2(1:dlen), ttoint1(1:dlen), ttoint2(1:dlen) )
[1864]	1752
[4497]	1753	DO jj = 1, dlen+1
	1754	BACKSPACE ( 90, IOSTAT=ierrn )
	1755	ENDDO
[1819]	1756
[4497]	1757	DO jj = 1, dlen
	1758	READ ( 90, * ) trad1(jj), trad2(jj), ttoint1(jj), ttoint2(jj)
	1759	ENDDO
	1760
[1864]	1761	!
[4497]	1762	!-- Read layout table:
	1763	dlen = 0
[1819]	1764
[4497]	1765	READ ( 90, '(3/)')
[1864]	1766
[4497]	1767	rloop1: DO
	1768	READ ( 90, *, IOSTAT=ierrn ) chmess
	1769	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop1
	1770	dlen = dlen + 1
	1771	ENDDO rloop1
[1864]	1772
[4497]	1773	ALLOCATE( lrd(1:dlen), ard(1:dlen), crd(1:dlen) )
	1774	DO jj = 1, dlen + 1
	1775	BACKSPACE ( 90, IOSTAT=ierrn )
	1776	ENDDO
	1777	DO jj = 1, dlen
	1778	READ ( 90, * ) lrd(jj), ard(jj), crd(jj)
	1779	ENDDO
[1864]	1780
[4497]	1781	!
	1782	!-- Read tables (turb_cl(alpha),turb_cd(alpha) for the different profiles:
	1783	dlen = 0
[1864]	1784
[4497]	1785	READ ( 90, '(3/)' )
[1864]	1786
[4497]	1787	rloop2: DO
	1788	READ ( 90, *, IOSTAT=ierrn ) chmess
	1789	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop2
	1790	dlen = dlen + 1
	1791	ENDDO rloop2
[1864]	1792
[4497]	1793	ALLOCATE( alpha_attack_tab(1:dlen), turb_cl_table(1:dlen,1:n_airfoils), &
	1794	turb_cd_table(1:dlen,1:n_airfoils) )
	1795
	1796	DO jj = 1, dlen + 1
	1797	BACKSPACE ( 90, IOSTAT=ierrn )
	1798	ENDDO
	1799
	1800	DO jj = 1, dlen
	1801	READ ( 90, * ) read_cl_cd
	1802	alpha_attack_tab(jj) = read_cl_cd(1)
	1803	DO ii = 1, n_airfoils
	1804	turb_cl_table(jj,ii) = read_cl_cd(ii * 2)
	1805	turb_cd_table(jj,ii) = read_cl_cd(ii * 2 + 1)
[1839]	1806	ENDDO
[1864]	1807
[4497]	1808	ENDDO
[1864]	1809
[4497]	1810	dlenbl = dlen
[1819]	1811
[4497]	1812	CLOSE ( 90 )
	1813
[1864]	1814	!
[4497]	1815	!-- For each possible radial position (resolution: 0.1 m --> 631 values if rotor_radius(1)=63m)
	1816	!-- and each possible angle of attack (resolution: 0.1 degrees --> 3601 values!) determine the
	1817	!-- lift and drag coefficient by interpolating between the tabulated values of each table
	1818	!-- (interpolate to current angle of attack) and between the tables (interpolate to current
	1819	!-- radial position):
	1820	ALLOCATE( turb_cl_sel1(1:dlenbl) )
	1821	ALLOCATE( turb_cl_sel2(1:dlenbl) )
	1822	ALLOCATE( turb_cd_sel1(1:dlenbl) )
	1823	ALLOCATE( turb_cd_sel2(1:dlenbl) )
[1839]	1824
[4497]	1825	radres = INT( rotor_radius(1) * 10.0_wp ) + 1_iwp
	1826	dlenbl_int = INT( 360.0_wp / accu_cl_cd_tab ) + 1_iwp
[1819]	1827
[4497]	1828	ALLOCATE( turb_cl_tab(1:dlenbl_int,1:radres) )
	1829	ALLOCATE( turb_cd_tab(1:dlenbl_int,1:radres) )
[1839]	1830
[4497]	1831	DO iir = 1, radres ! loop over radius
[1864]	1832
[4497]	1833	cur_r = ( iir - 1_iwp ) * 0.1_wp
[2836]	1834	!
[4497]	1835	!-- Find position in table 1:
	1836	lct = MINLOC( ABS( trad1 - cur_r ) )
	1837	! lct(1) = lct(1)
[1864]	1838
[4497]	1839	IF ( ( trad1(lct(1)) - cur_r ) > 0.0 ) THEN
	1840	lct(1) = lct(1) - 1
	1841	ENDIF
[1864]	1842
[4497]	1843	trow = lct(1)
[2836]	1844	!
[4497]	1845	!-- Calculate weights for radius interpolation:
	1846	weight_a = ( trad2(trow) - cur_r ) / ( trad2(trow) - trad1(trow) )
	1847	weight_b = ( cur_r - trad1(trow) ) / ( trad2(trow) - trad1(trow) )
	1848	t1 = ttoint1(trow)
	1849	t2 = ttoint2(trow)
[1864]	1850
[4497]	1851	IF ( t1 == t2 ) THEN ! if both are the same, the weights are NaN
	1852	weight_a = 0.5_wp ! then do interpolate in between same twice
	1853	weight_b = 0.5_wp ! using 0.5 as weight
	1854	ENDIF
[2836]	1855
[4497]	1856	IF ( t1 == 0 .AND. t2 == 0 ) THEN
	1857	turb_cd_sel1 = 0.0_wp
	1858	turb_cd_sel2 = 0.0_wp
	1859	turb_cl_sel1 = 0.0_wp
	1860	turb_cl_sel2 = 0.0_wp
[2836]	1861
[4497]	1862	turb_cd_tab(1,iir) = 0.0_wp ! For -180 degrees (iialpha=1) the values
	1863	turb_cl_tab(1,iir) = 0.0_wp ! for each radius has to be set
	1864	! explicitly
	1865	ELSE
	1866	turb_cd_sel1 = turb_cd_table(:,t1)
	1867	turb_cd_sel2 = turb_cd_table(:,t2)
	1868	turb_cl_sel1 = turb_cl_table(:,t1)
	1869	turb_cl_sel2 = turb_cl_table(:,t2)
[2836]	1870	!
[4497]	1871	!-- For -180 degrees (iialpha=1) the values for each radius has to be set explicitly:
	1872	turb_cd_tab(1,iir) = ( weight_a * turb_cd_table(1,t1) + weight_b * turb_cd_table(1,t2) )
	1873	turb_cl_tab(1,iir) = ( weight_a * turb_cl_table(1,t1) + weight_b * turb_cl_table(1,t2) )
	1874	ENDIF
[2836]	1875
[4497]	1876	DO iialpha = 2, dlenbl_int ! loop over angles
[1819]	1877
[4497]	1878	alpha_attack_i = -180.0_wp + REAL( iialpha-1 ) * accu_cl_cd_tab
	1879	ialpha = 1
	1880
	1881	DO WHILE ( ( alpha_attack_i > alpha_attack_tab(ialpha) ) .AND. ( ialpha < dlen ) )
	1882	ialpha = ialpha + 1
	1883	ENDDO
	1884
[1864]	1885	!
[4497]	1886	!-- Interpolation of lift and drag coefficiencts on fine grid of radius segments and angles
	1887	!-- of attack:
	1888	turb_cl_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - alpha_attack_i ) / &
	1889	( alpha_attack_tab(ialpha) - alpha_attack_tab(ialpha-1) ) * &
	1890	( weight_a * turb_cl_sel1(ialpha-1) + &
	1891	weight_b * turb_cl_sel2(ialpha-1) ) + &
	1892	( alpha_attack_i - alpha_attack_tab(ialpha-1) ) / &
	1893	( alpha_attack_tab(ialpha) - alpha_attack_tab(ialpha-1) ) * &
	1894	( weight_a * turb_cl_sel1(ialpha) + &
	1895	weight_b * turb_cl_sel2(ialpha) )
	1896	turb_cd_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - alpha_attack_i ) / &
	1897	( alpha_attack_tab(ialpha) - alpha_attack_tab(ialpha-1) ) * &
	1898	( weight_a * turb_cd_sel1(ialpha-1) + &
	1899	weight_b * turb_cd_sel2(ialpha-1) ) + &
	1900	( alpha_attack_i - alpha_attack_tab(ialpha-1) ) / &
	1901	( alpha_attack_tab(ialpha) - alpha_attack_tab(ialpha-1) ) * &
	1902	( weight_a * turb_cd_sel1(ialpha) + &
	1903	weight_b * turb_cd_sel2(ialpha) )
[3182]	1904
[4497]	1905	ENDDO ! end loop over angles of attack
[1819]	1906
[4497]	1907	ENDDO ! end loop over radius
[2836]	1908
[1819]	1909
[4497]	1910	END SUBROUTINE wtm_read_blade_tables
[1819]	1911
[4497]	1912
	1913	!--------------------------------------------------------------------------------------------------!
[1864]	1914	! Description:
	1915	! ------------
[4497]	1916	!> The projection matrix for the coordinate system of therotor disc in respect to the yaw and tilt
	1917	!> angle of the rotor is calculated
	1918	!--------------------------------------------------------------------------------------------------!
	1919	SUBROUTINE wtm_rotate_rotor( inot )
[1819]	1920
[1864]	1921
[4497]	1922	IMPLICIT NONE
[1864]	1923
[4497]	1924	INTEGER(iwp) :: inot
[1864]	1925	!
[4497]	1926	!-- Calculation of the rotation matrix for the application of the tilt to the rotors:
	1927	rot_eigen_rad(1) = SIN( yaw_angle(inot) ) ! x-component of the radial eigenvector
	1928	rot_eigen_rad(2) = COS( yaw_angle(inot) ) ! y-component of the radial eigenvector
	1929	rot_eigen_rad(3) = 0.0_wp ! z-component of the radial eigenvector
[1864]	1930
[4497]	1931	rot_eigen_azi(1) = 0.0_wp ! x-component of the azimuth eigenvector
	1932	rot_eigen_azi(2) = 0.0_wp ! y-component of the azimuth eigenvector
	1933	rot_eigen_azi(3) = 1.0_wp ! z-component of the azimuth eigenvector
[1864]	1934
[4497]	1935	rot_eigen_nor(1) = COS( yaw_angle(inot) ) ! x-component of the normal eigenvector
	1936	rot_eigen_nor(2) = -SIN( yaw_angle(inot) ) ! y-component of the normal eigenvector
	1937	rot_eigen_nor(3) = 0.0_wp ! z-component of the normal eigenvector
	1938
[1864]	1939	!
[4497]	1940	!-- Calculation of the coordinate transformation matrix to apply a tilt to the rotor.
	1941	!-- If tilt = 0, rot_coord_trans is a unit matrix.
	1942	rot_coord_trans(inot,1,1) = rot_eigen_rad(1)*2 &
	1943	( 1.0_wp - COS( tilt_angle ) ) + COS( tilt_angle )
	1944	rot_coord_trans(inot,1,2) = rot_eigen_rad(1) * rot_eigen_rad(2) * &
	1945	( 1.0_wp - COS( tilt_angle ) ) - &
	1946	rot_eigen_rad(3) * SIN( tilt_angle )
	1947	rot_coord_trans(inot,1,3) = rot_eigen_rad(1) * rot_eigen_rad(3) * &
	1948	( 1.0_wp - COS( tilt_angle ) ) + &
	1949	rot_eigen_rad(2) * SIN( tilt_angle )
	1950	rot_coord_trans(inot,2,1) = rot_eigen_rad(2) * rot_eigen_rad(1) * &
	1951	( 1.0_wp - COS( tilt_angle ) ) + &
	1952	rot_eigen_rad(3) * SIN( tilt_angle )
	1953	rot_coord_trans(inot,2,2) = rot_eigen_rad(2)*2 &
	1954	( 1.0_wp - COS( tilt_angle ) ) + COS( tilt_angle )
	1955	rot_coord_trans(inot,2,3) = rot_eigen_rad(2) * rot_eigen_rad(3) * &
	1956	( 1.0_wp - COS( tilt_angle ) ) - &
	1957	rot_eigen_rad(1) * SIN( tilt_angle )
	1958	rot_coord_trans(inot,3,1) = rot_eigen_rad(3) * rot_eigen_rad(1) * &
	1959	( 1.0_wp - COS( tilt_angle ) ) - &
	1960	rot_eigen_rad(2) * SIN( tilt_angle )
	1961	rot_coord_trans(inot,3,2) = rot_eigen_rad(3) * rot_eigen_rad(2) * &
	1962	( 1.0_wp - COS( tilt_angle ) ) + &
	1963	rot_eigen_rad(1) * SIN( tilt_angle )
	1964	rot_coord_trans(inot,3,3) = rot_eigen_rad(3)*2 &
	1965	( 1.0_wp - COS( tilt_angle ) ) + COS( tilt_angle )
[1819]	1966
[1864]	1967	!
[4497]	1968	!-- Vectors for the Transformation of forces from the rotor's spheric coordinate system to the
	1969	!-- cartesian coordinate system:
	1970	rotx(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_nor )
	1971	roty(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_rad )
	1972	rotz(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_azi )
[1839]	1973
[4497]	1974	END SUBROUTINE wtm_rotate_rotor
[1839]	1975
[4497]	1976
	1977	!--------------------------------------------------------------------------------------------------!
[1819]	1978	! Description:
	1979	! ------------
[1839]	1980	!> Calculation of the forces generated by the wind turbine
[4497]	1981	!--------------------------------------------------------------------------------------------------!
	1982	SUBROUTINE wtm_forces
[1819]	1983
[1864]	1984
[4497]	1985	IMPLICIT NONE
[1819]	1986
	1987
[4497]	1988	INTEGER(iwp) :: i, j, k !< loop indices
	1989	INTEGER(iwp) :: ii, jj, kk !<
	1990	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	1991	INTEGER(iwp) :: iialpha, iir !<
	1992	INTEGER(iwp) :: rseg !<
	1993	INTEGER(iwp) :: ring !<
[4467]	1994
[4497]	1995	REAL(wp) :: flag !< flag to mask topography grid points
	1996	REAL(wp) :: sin_rot, cos_rot !<
	1997	REAL(wp) :: sin_yaw, cos_yaw !<
[4467]	1998
[4497]	1999	REAL(wp) :: aa, bb, cc, dd !< interpolation distances
	2000	REAL(wp) :: gg !< interpolation volume var
[4467]	2001
[4497]	2002	REAL(wp) :: dist_u_3d, dist_v_3d, dist_w_3d !< smearing distances
	2003
	2004
[1839]	2005	!
[4497]	2006	!-- Variables for pitch control:
	2007	INTEGER(iwp), DIMENSION(1) :: lct = 0
[1839]	2008
[4497]	2009	LOGICAL :: pitch_sw = .FALSE.
[1819]	2010
[4497]	2011	REAL(wp), DIMENSION(1) :: rad_d = 0.0_wp
[1819]	2012
[4497]	2013	REAL(wp) :: tl_factor !< factor for tip loss correction
[1819]	2014
	2015
[4497]	2016	CALL cpu_log( log_point_s(61), 'wtm_forces', 'start' )
[1819]	2017
[4497]	2018
	2019	IF ( time_since_reference_point >= time_turbine_on ) THEN
	2020
[1864]	2021	!
[4497]	2022	!-- Set forces to zero for each new time step:
	2023	thrust(:,:,:) = 0.0_wp
	2024	torque_y(:,:,:) = 0.0_wp
	2025	torque_z(:,:,:) = 0.0_wp
	2026	torque_total(:) = 0.0_wp
	2027	rot_tend_x(:,:,:) = 0.0_wp
	2028	rot_tend_y(:,:,:) = 0.0_wp
	2029	rot_tend_z(:,:,:) = 0.0_wp
	2030	thrust_rotor(:) = 0.0_wp
[1819]	2031	!
[4497]	2032	!-- Loop over number of turbines:
	2033	DO inot = 1, n_turbines
[1819]	2034
[4497]	2035	cos_yaw = COS(yaw_angle(inot))
	2036	sin_yaw = SIN(yaw_angle(inot))
[1819]	2037	!
[4497]	2038	!-- Loop over rings of each turbine:
	2039	!$OMP PARALLEL PRIVATE (ring, rseg, thrust_seg, torque_seg_y, torque_seg_z, sin_rot, &
	2040	!$OMP& cos_rot, re, rbx, rby, rbz, ii, jj, kk, aa, bb, cc, dd, gg)
	2041	!$OMP DO
	2042	DO ring = 1, nrings(inot)
[3832]	2043
[4497]	2044	thrust_seg(:) = 0.0_wp
	2045	torque_seg_y(:) = 0.0_wp
	2046	torque_seg_z(:) = 0.0_wp
[1819]	2047	!
[4497]	2048	!-- Determine distance between each ring (center) and the hub:
	2049	cur_r = (ring - 0.5_wp) * delta_r(inot)
[1819]	2050
	2051	!
[4497]	2052	!-- Loop over segments of each ring of each turbine:
	2053	DO rseg = 1, nsegs(ring,inot)
[1819]	2054	!
[4497]	2055	!-- !----------------------------------------------------------------------------------!
	2056	!-- !-- Determine coordinates of the ring segments --!
	2057	!-- !----------------------------------------------------------------------------------!
[1819]	2058	!
[4497]	2059	!-- Determine angle of ring segment towards zero degree angle of rotor system
	2060	!-- (at zero degree rotor direction vectors aligned with y-axis):
	2061	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	2062	cos_rot = COS( phi_rotor )
	2063	sin_rot = SIN( phi_rotor )
[1819]	2064
[4497]	2065	!-- Now the direction vectors can be determined with respect to the yaw and tilt angle:
	2066	re(1) = cos_rot * sin_yaw
	2067	re(2) = cos_rot * cos_yaw
	2068	re(3) = sin_rot
[1819]	2069
[4497]	2070	rote = MATMUL( rot_coord_trans(inot,:,:), re )
[1819]	2071	!
[4497]	2072	!-- Coordinates of the single segments (center points):
	2073	rbx(ring,rseg) = hub_x(inot) + cur_r * rote(1)
	2074	rby(ring,rseg) = hub_y(inot) + cur_r * rote(2)
	2075	rbz(ring,rseg) = hub_z(inot) + cur_r * rote(3)
[1819]	2076
[4497]	2077	!-- !----------------------------------------------------------------------------------!
	2078	!-- !-- Interpolation of the velocity components from the cartesian grid point to --!
	2079	!-- !-- the coordinates of each ring segment (follows a method used in the --!
	2080	!-- !-- particle model) --!
	2081	!-- !----------------------------------------------------------------------------------!
[1819]	2082
[4497]	2083	u_int(inot,ring,rseg) = 0.0_wp
	2084	u_int_1_l(inot,ring,rseg) = 0.0_wp
[1819]	2085
[4497]	2086	v_int(inot,ring,rseg) = 0.0_wp
	2087	v_int_1_l(inot,ring,rseg) = 0.0_wp
[1819]	2088
[4497]	2089	w_int(inot,ring,rseg) = 0.0_wp
	2090	w_int_1_l(inot,ring,rseg) = 0.0_wp
[1819]	2091
	2092	!
[4497]	2093	!-- Interpolation of the u-component:
	2094	ii = rbx(ring,rseg) * ddx
	2095	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
	2096	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	2097	!
[4497]	2098	!-- Interpolate only if all required information is available on the current PE:
	2099	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	2100	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	2101
[4497]	2102	aa = ( ( ii + 1 ) * dx - rbx(ring,rseg) ) * &
	2103	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	2104	bb = ( rbx(ring,rseg) - ii * dx ) * &
	2105	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	2106	cc = ( ( ii+1 ) * dx - rbx(ring,rseg) ) * &
	2107	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	2108	dd = ( rbx(ring,rseg) - ii * dx ) * &
	2109	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	2110	gg = dx * dy
[1819]	2111
[4497]	2112	u_int_l = ( aa * u(kk,jj,ii) + bb * u(kk,jj,ii+1) + cc * u(kk,jj+1,ii) &
	2113	+ dd * u(kk,jj+1,ii+1) ) / gg
[1819]	2114
[4497]	2115	u_int_u = ( aa * u(kk+1,jj,ii) + bb * u(kk+1,jj,ii+1) + cc * u(kk+1,jj+1,ii) &
	2116	+ dd * u(kk+1,jj+1,ii+1) ) / gg
[1819]	2117
[4497]	2118	u_int_1_l(inot,ring,rseg) = u_int_l + ( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
	2119	( u_int_u - u_int_l )
[1819]	2120
	2121	ELSE
	2122	u_int_1_l(inot,ring,rseg) = 0.0_wp
	2123	ENDIF
	2124
[4497]	2125	ELSE
	2126	u_int_1_l(inot,ring,rseg) = 0.0_wp
	2127	ENDIF
[1819]	2128
[4497]	2129
[1819]	2130	!
[4497]	2131	!-- Interpolation of the v-component:
	2132	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
	2133	jj = rby(ring,rseg) * ddy
	2134	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	2135	!
[4497]	2136	!-- Interpolate only if all required information is available on the current PE:
	2137	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	2138	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	2139
[4497]	2140	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	2141	( ( jj + 1 ) * dy - rby(ring,rseg) )
	2142	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	2143	( ( jj + 1 ) * dy - rby(ring,rseg) )
	2144	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	2145	( rby(ring,rseg) - jj * dy )
	2146	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	2147	( rby(ring,rseg) - jj * dy )
	2148	gg = dx * dy
[1819]	2149
[4497]	2150	v_int_l = ( aa * v(kk,jj,ii) + bb * v(kk,jj,ii+1) + cc * v(kk,jj+1,ii) &
	2151	+ dd * v(kk,jj+1,ii+1) ) / gg
[1819]	2152
[4497]	2153	v_int_u = ( aa * v(kk+1,jj,ii) + bb * v(kk+1,jj,ii+1) + cc * v(kk+1,jj+1,ii) &
	2154	+ dd * v(kk+1,jj+1,ii+1) ) / gg
[1819]	2155
[4497]	2156	v_int_1_l(inot,ring,rseg) = v_int_l + ( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
	2157	( v_int_u - v_int_l )
[1819]	2158
	2159	ELSE
	2160	v_int_1_l(inot,ring,rseg) = 0.0_wp
	2161	ENDIF
	2162
[4497]	2163	ELSE
	2164	v_int_1_l(inot,ring,rseg) = 0.0_wp
	2165	ENDIF
[1819]	2166
[4497]	2167
[1819]	2168	!
[4497]	2169	!-- Interpolation of the w-component:
	2170	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
	2171	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
	2172	kk = rbz(ring,rseg) / dz(1)
[1819]	2173	!
[4497]	2174	!-- Interpolate only if all required information is available on the current PE:
	2175	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	2176	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	2177
[4497]	2178	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	2179	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	2180	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	2181	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	2182	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	2183	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	2184	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	2185	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	2186	gg = dx * dy
[1819]	2187
[4497]	2188	w_int_l = ( aa * w(kk,jj,ii) + bb * w(kk,jj,ii+1) + cc * w(kk,jj+1,ii) &
	2189	+ dd * w(kk,jj+1,ii+1) ) / gg
[1819]	2190
[4497]	2191	w_int_u = ( aa * w(kk+1,jj,ii) + bb * w(kk+1,jj,ii+1) + cc * w(kk+1,jj+1,ii) &
	2192	+ dd * w(kk+1,jj+1,ii+1) ) / gg
[1819]	2193
[4497]	2194	w_int_1_l(inot,ring,rseg) = w_int_l + ( rbz(ring,rseg) - zw(kk) ) / dz(1) * &
	2195	( w_int_u - w_int_l )
[1819]	2196	ELSE
	2197	w_int_1_l(inot,ring,rseg) = 0.0_wp
	2198	ENDIF
	2199
[4497]	2200	ELSE
	2201	w_int_1_l(inot,ring,rseg) = 0.0_wp
	2202	ENDIF
	2203
[1819]	2204	ENDDO
	2205
	2206	ENDDO
[4497]	2207	!$OMP END PARALLEL
[1819]	2208
[4497]	2209	ENDDO
	2210
[1819]	2211	!
[4497]	2212	!-- Exchange between PEs (information required on each PE):
[1819]	2213	#if defined( __parallel )
[4497]	2214	CALL MPI_ALLREDUCE( u_int_1_l, u_int, n_turbines * MAXVAL(nrings) * &
	2215	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	2216	CALL MPI_ALLREDUCE( v_int_1_l, v_int, n_turbines * MAXVAL(nrings) * &
	2217	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	2218	CALL MPI_ALLREDUCE( w_int_1_l, w_int, n_turbines * MAXVAL(nrings) * &
	2219	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
[1819]	2220	#else
[4497]	2221	u_int = u_int_1_l
	2222	v_int = v_int_1_l
	2223	w_int = w_int_1_l
[1819]	2224	#endif
	2225
	2226
	2227	!
[4497]	2228	!-- Loop over number of turbines:
	2229	DO inot = 1, n_turbines
[1912]	2230	pit_loop: DO
[1819]	2231
[4497]	2232	IF ( pitch_sw ) THEN
	2233	torque_total(inot) = 0.0_wp
	2234	thrust_rotor(inot) = 0.0_wp
	2235	pitch_angle(inot) = pitch_angle(inot) + 0.25_wp
	2236	! IF ( myid == 0 ) PRINT*, 'Pitch', inot, pitch_angle(inot)
	2237	ELSE
	2238	cos_yaw = COS( yaw_angle(inot) )
	2239	sin_yaw = SIN( yaw_angle(inot) )
	2240	IF ( pitch_control ) THEN
	2241	pitch_angle(inot) = MAX( pitch_angle_old(inot) - pitch_rate * dt_3d , 0.0_wp )
[1819]	2242	ENDIF
[4497]	2243	ENDIF
[1819]	2244
[1839]	2245	!
[4497]	2246	!-- Loop over rings of each turbine:
	2247	!$OMP PARALLEL PRIVATE (ring, rseg, sin_rot, cos_rot, re, rea, ren, rote, rota, rotn, &
	2248	!$OMP& vtheta, phi_rel, lct, rad_d, alpha_attack, vrel, &
	2249	!$OMP& chord, iialpha, iir, turb_cl, tl_factor, thrust_seg, &
	2250	!$OMP& torque_seg_y, turb_cd, torque_seg_z, thrust_ring, &
	2251	!$OMP& torque_ring_y, torque_ring_z)
	2252	!$OMP DO
	2253	DO ring = 1, nrings(inot)
[1819]	2254	!
[4497]	2255	!-- Determine distance between each ring (center) and the hub:
	2256	cur_r = ( ring - 0.5_wp ) * delta_r(inot)
[1839]	2257	!
[4497]	2258	!-- Loop over segments of each ring of each turbine:
	2259	DO rseg = 1, nsegs(ring,inot)
[1819]	2260	!
[4497]	2261	!-- Determine angle of ring segment towards zero degree angle of rotor system
	2262	!-- (at zero degree rotor direction vectors aligned with y-axis):
	2263	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	2264	cos_rot = COS( phi_rotor )
	2265	sin_rot = SIN( phi_rotor )
[1819]	2266	!
[4497]	2267	!-- Now the direction vectors can be determined with respect to the yaw and tilt angle:
	2268	re(1) = cos_rot * sin_yaw
	2269	re(2) = cos_rot * cos_yaw
	2270	re(3) = sin_rot
[1819]	2271
[4497]	2272	! The current unit vector in azimuthal direction:
	2273	rea(1) = - sin_rot * sin_yaw
	2274	rea(2) = - sin_rot * cos_yaw
	2275	rea(3) = cos_rot
[1819]	2276
	2277	!
[4497]	2278	!-- To respect the yawing angle for the calculations of velocities and forces the
	2279	!-- unit vectors perpendicular to the rotor area in direction of the positive yaw
	2280	!-- angle are defined:
	2281	ren(1) = cos_yaw
	2282	ren(2) = - sin_yaw
	2283	ren(3) = 0.0_wp
[1819]	2284	!
[4497]	2285	!-- Multiplication with the coordinate transformation matrix gives the final unit
	2286	!-- vector with consideration of the rotor tilt:
	2287	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	2288	rota = MATMUL( rot_coord_trans(inot,:,:), rea )
	2289	rotn = MATMUL( rot_coord_trans(inot,:,:), ren )
[1819]	2290	!
[4497]	2291	!-- Coordinates of the single segments (center points):
	2292	rbx(ring,rseg) = hub_x(inot) + cur_r * rote(1)
[1819]	2293
[4497]	2294	rby(ring,rseg) = hub_y(inot) + cur_r * rote(2)
[1819]	2295
[4497]	2296	rbz(ring,rseg) = hub_z(inot) + cur_r * rote(3)
[1819]	2297
	2298	!
[4497]	2299	!-- !----------------------------------------------------------------------------------!
	2300	!-- !-- Calculation of various angles and relative velocities --!
	2301	!-- !----------------------------------------------------------------------------------!
[1819]	2302	!
[4497]	2303	!-- In the following the 3D-velocity field is projected its components perpendicular
	2304	!-- and parallel to the rotor area.
	2305	!-- The calculation of forces will be done in the rotor-coordinates y' and z.
	2306	!-- The yaw angle will be reintroduced when the force is applied on the hydrodynamic
	2307	!-- equations.
[1864]	2308	!
[4497]	2309	!-- Projection of the xy-velocities relative to the rotor area:
[1864]	2310	!
[4497]	2311	!-- Velocity perpendicular to the rotor area:
	2312	u_rot = u_int(inot,ring,rseg) * rotn(1) + v_int(inot,ring,rseg)*rotn(2) + &
	2313	w_int(inot,ring,rseg)*rotn(3)
[1819]	2314	!
[4497]	2315
	2316	!-- Projection of the 3D-velocity vector in the azimuthal direction:
	2317	vtheta(rseg) = rota(1) * u_int(inot,ring,rseg) + rota(2) * v_int(inot,ring,rseg) + &
	2318	rota(3) * w_int(inot,ring,rseg)
[1819]	2319	!
	2320
[4497]	2321	!-- Determination of the angle phi_rel between the rotor plane and the direction of the
	2322	!-- flow relative to the rotor:
	2323	phi_rel(rseg) = ATAN2( u_rot , ( rotor_speed(inot) * cur_r - vtheta(rseg) ) )
[1819]	2324
	2325	!
[4497]	2326	!-- Interpolation of the local pitch angle from tabulated values to the current
	2327	!-- radial position:
	2328	lct = minloc( ABS( cur_r-lrd ) )
	2329	rad_d = cur_r-lrd(lct)
[1819]	2330
[4497]	2331	IF ( cur_r == 0.0_wp ) THEN
	2332	alpha_attack(rseg) = 0.0_wp
[1819]	2333
[4497]	2334	ELSE IF ( cur_r >= lrd(size(ard)) ) THEN
	2335	alpha_attack(rseg) = ( ard(size(ard) ) + ard(size(ard) -1 ) ) / 2.0_wp
	2336
	2337	ELSE
	2338	alpha_attack(rseg) = ( ard( lct(1) ) * ( ( lrd( lct(1) + 1 ) - cur_r ) / &
	2339	( lrd( lct(1) + 1 ) - lrd( lct(1) ) ) ) ) + &
	2340	( ard( lct(1) + 1 ) * ( ( cur_r - lrd( lct(1) ) ) / &
	2341	( lrd( lct(1) + 1 ) - lrd( lct(1) ) ) ) )
	2342	ENDIF
	2343
[1819]	2344	!
[4497]	2345	!-- In Fortran radian instead of degree is used as unit for all angles.
	2346	!-- Therefore, a transformation from angles given in degree to angles given in radian
	2347	!-- is necessary here:
	2348	alpha_attack(rseg) = alpha_attack(rseg) * ( ( 2.0_wp * pi ) / 360.0_wp )
[1819]	2349	!
[4497]	2350	!-- Substraction of the local pitch angle to obtain the local angle of attack:
	2351	alpha_attack(rseg) = phi_rel(rseg) - alpha_attack(rseg)
[1819]	2352	!
[4497]	2353	!-- Preliminary transformation back from angles given in radian to angles given in
	2354	!-- degree:
	2355	alpha_attack(rseg) = alpha_attack(rseg) * ( 360.0_wp / ( 2.0_wp * pi ) )
[1819]	2356	!
[4497]	2357	!-- Correct with collective pitch angle:
	2358	alpha_attack(rseg) = alpha_attack(rseg) - pitch_angle(inot)
[1819]	2359
	2360	!
[4497]	2361	!-- Determination of the magnitude of the flow velocity relative to the rotor:
	2362	vrel(rseg) = SQRT( u_rot*2 + ( rotor_speed(inot) cur_r - vtheta(rseg) )**2 )
[1819]	2363
	2364	!
[4497]	2365	!-- !----------------------------------------------------------------------------------!
	2366	!-- !-- Interpolation of chord as well as lift and drag --!
	2367	!-- !-- coefficients from tabulated values --!
	2368	!-- !----------------------------------------------------------------------------------!
[1819]	2369
	2370	!
[4497]	2371	!-- Interpolation of the chord_length from tabulated values to the current radial
	2372	!-- position:
	2373	IF ( cur_r == 0.0_wp ) THEN
	2374	chord(rseg) = 0.0_wp
[1819]	2375
[4497]	2376	ELSE IF ( cur_r >= lrd( size(crd) ) ) THEN
	2377	chord(rseg) = ( crd( size(crd) ) + ard( size(crd) - 1 ) ) / 2.0_wp
[1819]	2378
[4497]	2379	ELSE
	2380	chord(rseg) = ( crd( lct(1) ) * ( ( lrd( lct(1) + 1 ) - cur_r ) / &
	2381	( lrd( lct(1) + 1 ) - lrd( lct(1) ) ) ) ) + ( crd( lct(1) + 1 ) &
	2382	* ( ( cur_r - lrd( lct(1) ) ) / ( lrd( lct(1) + 1 ) - &
	2383	lrd( lct(1) ) ) ) )
	2384	ENDIF
	2385
[1819]	2386	!
[4497]	2387	!-- Determine index of current angle of attack, needed for finding the appropriate
	2388	!-- interpolated values of the lift and drag coefficients
	2389	!-- (-180.0 degrees = 1, +180.0 degrees = 3601, so one index every 0.1 degrees):
	2390	iialpha = CEILING( ( alpha_attack(rseg) + 180.0_wp ) &
	2391	* ( 1.0_wp / accu_cl_cd_tab ) ) + 1.0_wp
[1819]	2392	!
[4497]	2393	!-- Determine index of current radial position, needed for finding the appropriate
	2394	!-- interpolated values of the lift and drag coefficients (one index every 0.1 m):
	2395	iir = CEILING( cur_r * 10.0_wp )
[1819]	2396	!
[4497]	2397	!-- Read in interpolated values of the lift and drag coefficients for the current
	2398	!-- radial position and angle of attack:
	2399	turb_cl(rseg) = turb_cl_tab(iialpha,iir)
	2400	turb_cd(rseg) = turb_cd_tab(iialpha,iir)
[1819]	2401
	2402	!
[4497]	2403	!-- Final transformation back from angles given in degree to angles given in radian:
	2404	alpha_attack(rseg) = alpha_attack(rseg) * ( ( 2.0_wp * pi ) / 360.0_wp )
[1819]	2405
[4497]	2406	IF ( tip_loss_correction ) THEN
[4465]	2407	!
[4497]	2408	!-- Tip loss correction following Schito.
	2409	!-- Schito applies the tip loss correction only to the lift force.
	2410	!-- Therefore, the tip loss correction is only applied to the lift coefficient and
	2411	!-- not to the drag coefficient in our case.
	2412	IF ( phi_rel(rseg) == 0.0_wp ) THEN
	2413	tl_factor = 1.0_wp
[4465]	2414
[4497]	2415	ELSE
	2416	tl_factor = ( 2.0 / pi ) * &
	2417	ACOS( EXP( -1.0 * ( 3.0 * ( rotor_radius(inot) - cur_r ) / &
	2418	( 2.0 * cur_r * ABS( SIN( phi_rel(rseg) ) ) ) ) ) )
	2419	ENDIF
[4465]	2420
[4497]	2421	turb_cl(rseg) = tl_factor * turb_cl(rseg)
	2422
	2423	ENDIF
[1819]	2424	!
[4497]	2425	!-- !----------------------------------------------------------------------------------!
	2426	!-- !-- Calculation of the forces --!
	2427	!-- !----------------------------------------------------------------------------------!
[1819]	2428
	2429	!
[4497]	2430	!-- Calculate the pre_factor for the thrust and torque forces:
	2431	pre_factor = 0.5_wp * ( vrel(rseg)*2 ) 3.0_wp * chord(rseg) * delta_r(inot) &
	2432	/ nsegs(ring,inot)
[1819]	2433
	2434	!
[4497]	2435	!-- Calculate the thrust force (x-component of the total force) for each ring segment:
	2436	thrust_seg(rseg) = pre_factor * ( turb_cl(rseg) * COS (phi_rel(rseg) ) + &
	2437	turb_cd(rseg) * SIN( phi_rel(rseg) ) )
[1819]	2438
	2439	!
[4497]	2440	!-- Determination of the second of the additional forces acting on the flow in the
	2441	!-- azimuthal direction: force vector as basis for torque (torque itself would be the
	2442	!-- vector product of the radius vector and the force vector):
	2443	torque_seg = pre_factor * ( turb_cl(rseg) * SIN (phi_rel(rseg) ) - &
	2444	turb_cd(rseg) * COS( phi_rel(rseg) ) )
[1819]	2445	!
[4497]	2446	!-- Decomposition of the force vector into two parts: One acting along the
	2447	!-- y-direction and one acting along the z-direction of the rotor coordinate system:
	2448	torque_seg_y(rseg) = -torque_seg * sin_rot
	2449	torque_seg_z(rseg) = torque_seg * cos_rot
[1819]	2450
[1912]	2451	!
[4497]	2452	!-- Add the segment thrust to the thrust of the whole rotor:
	2453	!$OMP CRITICAL
	2454	thrust_rotor(inot) = thrust_rotor(inot) + thrust_seg(rseg)
[1912]	2455
[4465]	2456
[4497]	2457	torque_total(inot) = torque_total(inot) + (torque_seg * cur_r)
	2458	!$OMP END CRITICAL
[1819]	2459
[4497]	2460	ENDDO !-- end of loop over ring segments
[1819]	2461
	2462	!
[4497]	2463	!-- Restore the forces into arrays containing all the segments of each ring:
	2464	thrust_ring(ring,:) = thrust_seg(:)
	2465	torque_ring_y(ring,:) = torque_seg_y(:)
	2466	torque_ring_z(ring,:) = torque_seg_z(:)
[1819]	2467
	2468
[4497]	2469	ENDDO !-- end of loop over rings
	2470	!$OMP END PARALLEL
[1819]	2471
	2472
[4497]	2473	CALL cpu_log( log_point_s(62), 'wtm_controller', 'start' )
[1819]	2474
[4465]	2475
[4497]	2476	IF ( speed_control ) THEN
[1912]	2477	!
[4497]	2478	!-- Calculation of the current generator speed for rotor speed control:
[4465]	2479
[4497]	2480	!
	2481	!-- The acceleration of the rotor speed is calculated from the force balance of the
	2482	!-- accelerating torque and the torque of the rotating rotor and generator:
	2483	om_rate = ( torque_total(inot) * air_density * gear_efficiency - &
	2484	gear_ratio * torque_gen_old(inot) ) / ( rotor_inertia + &
	2485	gear_ratio * gear_ratio * generator_inertia ) * dt_3d
[1819]	2486
[1912]	2487	!
[4497]	2488	!-- The generator speed is given by the product of gear gear_ratio and rotor speed:
	2489	generator_speed(inot) = gear_ratio * ( rotor_speed(inot) + om_rate )
[4465]	2490
[4497]	2491	ENDIF
[4465]	2492
[4497]	2493	IF ( pitch_control ) THEN
[1819]	2494
[1912]	2495	!
[4497]	2496	!-- If the current generator speed is above rated, the pitch is not saturated and the
	2497	!-- change from the last time step is within the maximum pitch rate, then the pitch loop
	2498	!-- is repeated with a pitch gain:
	2499	IF ( ( generator_speed(inot) > generator_speed_rated ) .AND. &
	2500	( pitch_angle(inot) < 25.0_wp ) .AND. &
	2501	( pitch_angle(inot) < pitch_angle_old(inot) + pitch_rate * dt_3d ) ) THEN
	2502	pitch_sw = .TRUE.
[1912]	2503	!
[4497]	2504	!-- Go back to beginning of pit_loop:
	2505	CYCLE pit_loop
	2506	ENDIF
[4465]	2507
[1912]	2508	!
[4497]	2509	!-- The current pitch is saved for the next time step:
	2510	pitch_angle_old(inot) = pitch_angle(inot)
	2511	pitch_sw = .FALSE.
	2512	ENDIF
	2513	EXIT pit_loop
	2514	ENDDO pit_loop ! Recursive pitch control loop
[1819]	2515
[1864]	2516
[1819]	2517	!
[4497]	2518	!-- Call the rotor speed controller:
	2519	IF ( speed_control ) THEN
[1819]	2520	!
[4497]	2521	!-- Find processor at i_hub, j_hub:
	2522	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) THEN
	2523	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) ) THEN
	2524	CALL wtm_speed_control( inot )
[1912]	2525	ENDIF
[1819]	2526	ENDIF
	2527
[4497]	2528	ENDIF
[1819]	2529
	2530
[4497]	2531	CALL cpu_log( log_point_s(62), 'wtm_controller', 'stop' )
[1819]	2532
[4497]	2533	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'start' )
[1819]	2534
[4497]	2535
	2536	!-- !----------------------------------------------------------------------------------------!
	2537	!-- !-- Regularization kernel --!
	2538	!-- !-- Smearing of the forces and interpolation to cartesian grid --!
	2539	!-- !----------------------------------------------------------------------------------------!
[1819]	2540	!
[4497]	2541	!-- The aerodynamic blade forces need to be distributed smoothly on several mesh points in
	2542	!-- order to avoid singular behaviour.
[1819]	2543	!
[4497]	2544	!-- Summation over sum of weighted forces. The weighting factor (calculated in user_init)
	2545	!-- includes information on the distance between the center of the grid cell and the rotor
	2546	!-- segment under consideration.
[1819]	2547	!
[4497]	2548	!-- To save computing time, apply smearing only for the relevant part of the model domain:
[1819]	2549	!
	2550	!--
[4497]	2551	!-- Calculation of the boundaries:
	2552	i_smear(inot) = CEILING( ( rotor_radius(inot) * ABS( roty(inot,1) ) + eps_min ) / dx )
	2553	j_smear(inot) = CEILING( ( rotor_radius(inot) * ABS( roty(inot,2) ) + eps_min ) / dy )
[1819]	2554
[4497]	2555	!$OMP PARALLEL PRIVATE (i, j, k, ring, rseg, flag, dist_u_3d, dist_v_3d, dist_w_3d)
	2556	!$OMP DO
	2557	DO i = MAX( nxl, i_hub(inot) - i_smear(inot) ), MIN( nxr, i_hub(inot) + i_smear(inot) )
	2558	DO j = MAX( nys, j_hub(inot) - j_smear(inot) ), MIN( nyn, j_hub(inot) + j_smear(inot) )
	2559	! DO k = MAX( nzb_u_inner(j,i)+1, k_hub(inot) - k_smear(inot) ), &
	2560	! k_hub(inot) + k_smear(inot)
	2561	DO k = nzb + 1, k_hub(inot) + k_smear(inot)
	2562	DO ring = 1, nrings(inot)
	2563	DO rseg = 1, nsegs(ring,inot)
[1819]	2564	!
[4497]	2565	!-- Predetermine flag to mask topography:
	2566	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 1 ) )
[4465]	2567
[2232]	2568	!
[4497]	2569	!-- Determine the square of the distance between the current grid point and
	2570	!-- each rotor area segment:
	2571	dist_u_3d = ( i * dx - rbx(ring,rseg) )**2 + &
	2572	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
	2573	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1819]	2574
[4497]	2575	dist_v_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2576	( j * dy - rby(ring,rseg) )**2 + &
	2577	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
	2578
	2579	dist_w_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2580	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
	2581	( k * dz(1) - rbz(ring,rseg) )**2
	2582
[1819]	2583	!
[4497]	2584	!-- 3D-smearing of the forces with a polynomial function (much faster than
	2585	!-- the old Gaussian function), using some parameters that have been
	2586	!-- calculated in user_init. The function is only similar to Gaussian
	2587	!-- function for squared distances <= eps_min2:
	2588	IF ( dist_u_3d <= eps_min2 ) THEN
	2589	thrust(k,j,i) = thrust(k,j,i) + thrust_ring(ring,rseg) * &
	2590	( ( pol_a * dist_u_3d - pol_b ) * &
	2591	dist_u_3d + 1.0_wp ) * eps_factor * flag
	2592	ENDIF
[1819]	2593
[4497]	2594	IF ( dist_v_3d <= eps_min2 ) THEN
	2595	torque_y(k,j,i) = torque_y(k,j,i) + torque_ring_y(ring,rseg) * &
	2596	( ( pol_a * dist_v_3d - pol_b ) * &
	2597	dist_v_3d + 1.0_wp ) * eps_factor * flag
	2598	ENDIF
[4465]	2599
[4497]	2600	IF ( dist_w_3d <= eps_min2 ) THEN
	2601	torque_z(k,j,i) = torque_z(k,j,i) + torque_ring_z(ring,rseg) * &
	2602	( ( pol_a * dist_w_3d - pol_b ) * &
	2603	dist_w_3d + 1.0_wp ) * eps_factor * flag
	2604	ENDIF
	2605
	2606	ENDDO ! End of loop over rseg
	2607	ENDDO ! End of loop over ring
	2608
[1819]	2609	!
[4497]	2610	!-- Rotation of force components:
	2611	rot_tend_x(k,j,i) = rot_tend_x(k,j,i) + ( thrust(k,j,i) * rotx(inot,1) + &
	2612	torque_y(k,j,i) * roty(inot,1) + torque_z(k,j,i) * &
	2613	rotz(inot,1) ) * flag
[4465]	2614
[4497]	2615	rot_tend_y(k,j,i) = rot_tend_y(k,j,i) + ( thrust(k,j,i) * rotx(inot,2) + &
	2616	torque_y(k,j,i) * roty(inot,2) + torque_z(k,j,i) * &
	2617	rotz(inot,2) ) * flag
[4465]	2618
[4497]	2619	rot_tend_z(k,j,i) = rot_tend_z(k,j,i) + ( thrust(k,j,i) * rotx(inot,3) + &
	2620	torque_y(k,j,i) * roty(inot,3) + torque_z(k,j,i) * &
	2621	rotz(inot,3) ) * flag
[1819]	2622
[4497]	2623	ENDDO ! End of loop over k
	2624	ENDDO ! End of loop over j
	2625	ENDDO ! End of loop over i
	2626	!$OMP END PARALLEL
[1819]	2627
[4497]	2628	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'stop' )
[4465]	2629
[4497]	2630	ENDDO !-- end of loop over turbines
[1819]	2631
[4465]	2632
[4497]	2633	IF ( yaw_control ) THEN
[1819]	2634	!
[4497]	2635	!-- Allocate arrays for yaw control at first call. Can't be allocated before dt_3d is set.
	2636	IF ( start_up ) THEN
	2637	wdlon= MAX( 1 , NINT( 30.0_wp / dt_3d ) ) ! 30s running mean array
	2638	ALLOCATE( wd30(1:n_turbines,1:WDLON) )
	2639	wd30 = 999.0_wp ! Set to dummy value
	2640	ALLOCATE( wd30_l(1:WDLON) )
[4465]	2641
[4497]	2642	wdsho = MAX( 1 , NINT( 2.0_wp / dt_3d ) ) ! 2s running mean array
	2643	ALLOCATE( wd2(1:n_turbines,1:wdsho) )
	2644	wd2 = 999.0_wp ! Set to dummy value
	2645	ALLOCATE( wd2_l(1:wdsho) )
	2646	start_up = .FALSE.
	2647	ENDIF
[1819]	2648
	2649	!
[4497]	2650	!-- Calculate the inflow wind speed:
[1819]	2651	!--
[4497]	2652	!-- Loop over number of turbines:
	2653	DO inot = 1, n_turbines
[1819]	2654	!
[4497]	2655	!-- Find processor at i_hub, j_hub:
	2656	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) THEN
	2657	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) ) THEN
	2658	u_inflow_l(inot) = u(k_hub(inot),j_hub(inot),i_hub(inot))
	2659	wdir_l(inot) = -1.0_wp * ATAN2( 0.5_wp * &
	2660	( v(k_hub(inot), j_hub(inot), i_hub(inot) + 1) + &
	2661	v(k_hub(inot), j_hub(inot), i_hub(inot)) ) , 0.5_wp * &
	2662	( u(k_hub(inot), j_hub(inot) + 1, i_hub(inot)) + &
	2663	u(k_hub(inot), j_hub(inot), i_hub(inot)) ) )
[1864]	2664
[4497]	2665	CALL wtm_yawcontrol( inot )
[1864]	2666
[4497]	2667	yaw_angle_l(inot) = yaw_angle(inot)
[1864]	2668
[1819]	2669	ENDIF
[4497]	2670	ENDIF
[4465]	2671
[4497]	2672	ENDDO ! end of loop over turbines
[1864]	2673
	2674	!
[4497]	2675	!-- Transfer of information to the other cpus:
	2676	#if defined( __parallel )
	2677	CALL MPI_ALLREDUCE( u_inflow_l, u_inflow, n_turbines, MPI_REAL, &
	2678	MPI_SUM, comm2d, ierr )
	2679	CALL MPI_ALLREDUCE( wdir_l, wdir, n_turbines, MPI_REAL, MPI_SUM, &
	2680	comm2d, ierr )
	2681	CALL MPI_ALLREDUCE( yaw_angle_l, yaw_angle, n_turbines, MPI_REAL, &
	2682	MPI_SUM, comm2d, ierr )
[1929]	2683	#else
[4497]	2684	u_inflow = u_inflow_l
	2685	wdir = wdir_l
	2686	yaw_angle = yaw_angle_l
[4465]	2687
[1929]	2688	#endif
[4497]	2689	DO inot = 1, n_turbines
[4465]	2690	!
[4497]	2691	!-- Update rotor orientation:
	2692	CALL wtm_rotate_rotor( inot )
[1819]	2693
[4497]	2694	ENDDO ! End of loop over turbines
[4465]	2695
[4497]	2696	ENDIF ! end of yaw control
[4465]	2697
[4497]	2698	IF ( speed_control ) THEN
[1864]	2699	!
[4497]	2700	!-- Transfer of information to the other cpus:
	2701	! CALL MPI_ALLREDUCE( generator_speed, generator_speed_old, n_turbines, &
	2702	! MPI_REAL,MPI_SUM, comm2d, ierr )
	2703	#if defined( __parallel )
	2704	CALL MPI_ALLREDUCE( torque_gen, torque_gen_old, n_turbines, &
	2705	MPI_REAL, MPI_SUM, comm2d, ierr )
	2706	CALL MPI_ALLREDUCE( rotor_speed_l, rotor_speed, n_turbines, &
	2707	MPI_REAL, MPI_SUM, comm2d, ierr )
	2708	CALL MPI_ALLREDUCE( generator_speed_f, generator_speed_f_old, n_turbines, &
	2709	MPI_REAL, MPI_SUM, comm2d, ierr )
[1929]	2710	#else
[4497]	2711	torque_gen_old = torque_gen
	2712	rotor_speed = rotor_speed_l
	2713	generator_speed_f_old = generator_speed_f
[1929]	2714	#endif
[4465]	2715
	2716	ENDIF
[1819]	2717
[4497]	2718	ENDIF
[1819]	2719
[4497]	2720	CALL cpu_log( log_point_s(61), 'wtm_forces', 'stop' )
[1819]	2721
	2722
[4497]	2723	END SUBROUTINE wtm_forces
[4465]	2724
[4497]	2725
	2726	!--------------------------------------------------------------------------------------------------!
[1839]	2727	! Description:
	2728	! ------------
	2729	!> Yaw controller for the wind turbine model
[4497]	2730	!--------------------------------------------------------------------------------------------------!
	2731	SUBROUTINE wtm_yawcontrol( inot )
[4465]	2732
[4497]	2733	USE kinds
[4465]	2734
[4497]	2735	IMPLICIT NONE
[4465]	2736
[4497]	2737	INTEGER(iwp) :: inot
	2738	INTEGER(iwp) :: i_wd_30
[1819]	2739
[4497]	2740	REAL(wp) :: missal
[1819]	2741
[4497]	2742	i_wd_30 = 0_iwp
	2743
[1864]	2744	!
[4497]	2745	!-- The yaw controller computes a 30s running mean of the wind direction. If the difference
	2746	!-- between turbine alignment and wind direction exceeds 5 degrees, the turbine is yawed. The
	2747	!-- mechanism stops as soon as the 2s-running mean of the missalignment is smaller than 0.5
	2748	!-- degrees. Attention: If the timestep during the simulation changes significantly the lengths
	2749	!-- of the running means change and it does not correspond to 30s/2s anymore.
	2750	!-- ! Needs to be modified for these situations !
	2751	!-- For wind from the east, the averaging of the wind direction could cause problems and the yaw
	2752	!-- controller is probably flawed. -> Routine for averaging needs to be improved!
[1843]	2753	!
[4497]	2754	!-- Check if turbine is not yawing:
	2755	IF ( .NOT. doyaw(inot) ) THEN
[1843]	2756	!
[4497]	2757	!-- Write current wind direction into array:
	2758	wd30_l = wd30(inot,:)
	2759	wd30_l = CSHIFT( wd30_l, SHIFT = -1 )
	2760	wd30_l(1) = wdir(inot)
	2761	!
	2762	!-- Check if array is full ( no more dummies ):
	2763	IF ( .NOT. ANY( wd30_l == 999.) ) THEN
[1819]	2764
[4497]	2765	missal = SUM( wd30_l ) / SIZE( wd30_l ) - yaw_angle(inot)
[1819]	2766	!
[4497]	2767	!-- Check if turbine is missaligned by more than yaw_misalignment_max:
	2768	IF ( ABS( missal ) > yaw_misalignment_max ) THEN
[1843]	2769	!
[4497]	2770	!-- Check in which direction to yaw:
	2771	yawdir(inot) = SIGN( 1.0_wp, missal )
[1819]	2772	!
[4497]	2773	!-- Start yawing of turbine:
	2774	yaw_angle(inot) = yaw_angle(inot) + yawdir(inot) * yaw_speed * dt_3d
	2775	doyaw(inot) = .TRUE.
	2776	wd30_l = 999. ! fill with dummies again
[1819]	2777	ENDIF
[4497]	2778	ENDIF
[4465]	2779
[4497]	2780	wd30(inot,:) = wd30_l
[1819]	2781
[4465]	2782	!
[4497]	2783	!-- If turbine is already yawing:
	2784	!-- Initialize 2 s running mean and yaw until the missalignment is smaller than
	2785	!-- yaw_misalignment_min
[1819]	2786
[4497]	2787	ELSE
[1819]	2788	!
[4497]	2789	!-- Initialize 2 s running mean:
	2790
	2791	wd2_l = wd2(inot,:)
	2792	wd2_l = CSHIFT( wd2_l, SHIFT = -1 )
	2793	wd2_l(1) = wdir(inot)
[4465]	2794	!
[4497]	2795	!-- Check if array is full ( no more dummies ):
	2796	IF ( .NOT. ANY( wd2_l == 999.0_wp ) ) THEN
[1864]	2797	!
[4497]	2798	!-- Calculate missalignment of turbine:
	2799	missal = SUM( wd2_l - yaw_angle(inot) ) / SIZE( wd2_l )
[1864]	2800	!
[4497]	2801	!-- Check if missalignment is still larger than 0.5 degree and if the yaw direction is
	2802	!-- still right:
	2803	IF ( ( ABS( missal ) > yaw_misalignment_min ) .AND. &
	2804	( yawdir(inot) == SIGN( 1.0_wp, missal ) ) ) THEN
[1864]	2805	!
[4497]	2806	!-- Continue yawing:
	2807	yaw_angle(inot) = yaw_angle(inot) + yawdir(inot) * yaw_speed * dt_3d
	2808
[1819]	2809	ELSE
[1864]	2810	!
[4497]	2811	!-- Stop yawing:
	2812	doyaw(inot) = .FALSE.
	2813	wd2_l = 999.0_wp ! fill with dummies again
[1819]	2814	ENDIF
[4497]	2815	ELSE
	2816	!
	2817	!-- Continue yawing:
	2818	yaw_angle(inot) = yaw_angle(inot) + yawdir(inot) * yaw_speed * dt_3d
	2819	ENDIF
[4465]	2820
[4497]	2821	wd2(inot,:) = wd2_l
[4465]	2822
[4497]	2823	ENDIF
[4465]	2824
[4497]	2825	END SUBROUTINE wtm_yawcontrol
[1819]	2826
[1864]	2827
[4497]	2828	!--------------------------------------------------------------------------------------------------!
[1819]	2829	! Description:
	2830	! ------------
[1864]	2831	!> Initialization of the speed control
[4497]	2832	!--------------------------------------------------------------------------------------------------!
	2833	SUBROUTINE wtm_init_speed_control
[1864]	2834
	2835
[4497]	2836	IMPLICIT NONE
[1864]	2837
	2838	!
[4497]	2839	!-- If speed control is set, remaining variables and control_parameters for the control algorithm
	2840	!-- are calculated:
[1864]	2841	!
[4497]	2842	!-- Calculate slope constant for region 15:
	2843	slope15 = ( region_2_slope * region_2_min * region_2_min ) / &
	2844	( region_2_min - region_15_min )
[1864]	2845	!
[4497]	2846	!-- Calculate upper limit of slipage region:
	2847	vs_sysp = generator_speed_rated / 1.1_wp
[1864]	2848	!
[4497]	2849	!-- Calculate slope of slipage region:
	2850	region_25_slope = ( generator_power_rated / generator_speed_rated ) / &
	2851	( generator_speed_rated - vs_sysp )
[1864]	2852	!
[4497]	2853	!-- Calculate lower limit of slipage region:
	2854	region_25_min = ( region_25_slope - SQRT( region_25_slope * &
	2855	( region_25_slope - 4.0_wp * region_2_slope * vs_sysp ) ) ) / &
	2856	( 2.0_wp * region_2_slope )
[1864]	2857	!
[4497]	2858	!-- Frequency for the simple low pass filter:
	2859	fcorner = 0.25_wp
	2860	!
	2861	!-- At the first timestep the torque is set to its maximum to prevent an overspeeding of the rotor:
	2862	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	2863	torque_gen_old(:) = generator_torque_max
	2864	ENDIF
[1864]	2865
[4497]	2866	END SUBROUTINE wtm_init_speed_control
[1864]	2867
[4497]	2868
	2869	!--------------------------------------------------------------------------------------------------!
[1864]	2870	! Description:
	2871	! ------------
	2872	!> Simple controller for the regulation of the rotor speed
[4497]	2873	!--------------------------------------------------------------------------------------------------!
	2874	SUBROUTINE wtm_speed_control( inot )
[1864]	2875
	2876
[4497]	2877	IMPLICIT NONE
[1864]	2878
[4497]	2879	INTEGER(iwp):: inot
[1864]	2880
[4465]	2881
[1864]	2882	!
[4497]	2883	!-- The controller is based on the fortran script from Jonkman et al. 2009 "Definition of a 5 MW
	2884	!-- Reference Wind Turbine for offshore system developement"
[1864]	2885
	2886	!
[4497]	2887	!-- The generator speed is filtered by a low pass filter for the control of the generator torque:
	2888	lp_coeff = EXP( -2.0_wp * 3.14_wp * dt_3d * fcorner)
	2889	generator_speed_f(inot) = ( 1.0_wp - lp_coeff ) * generator_speed(inot) + lp_coeff * &
	2890	generator_speed_f_old(inot)
[1864]	2891
[4497]	2892	IF ( generator_speed_f(inot) <= region_15_min ) THEN
[4465]	2893	!
[4497]	2894	!-- Region 1: Generator torque is set to zero to accelerate the rotor:
	2895	torque_gen(inot) = 0
[4465]	2896
[4497]	2897	ELSEIF ( generator_speed_f(inot) <= region_2_min ) THEN
[4465]	2898	!
[4497]	2899	!-- Region 1.5: Generator torque is increasing linearly with rotor speed:
	2900	torque_gen(inot) = slope15 * ( generator_speed_f(inot) - region_15_min )
[4465]	2901
[4497]	2902	ELSEIF ( generator_speed_f(inot) <= region_25_min ) THEN
[1864]	2903	!
[4497]	2904	!-- Region 2: Generator torque is increased by the square of the generator speed to keep the
	2905	!-- TSR optimal:
	2906	torque_gen(inot) = region_2_slope * generator_speed_f(inot) * generator_speed_f(inot)
[4465]	2907
[4497]	2908	ELSEIF ( generator_speed_f(inot) < generator_speed_rated ) THEN
[4465]	2909	!
[4497]	2910	!-- Region 2.5: Slipage region between 2 and 3:
	2911	torque_gen(inot) = region_25_slope * ( generator_speed_f(inot) - vs_sysp )
[4465]	2912
[4497]	2913	ELSE
[4465]	2914	!
[4497]	2915	!-- Region 3: Generator torque is antiproportional to the rotor speed to keep the power
	2916	!-- constant:
	2917	torque_gen(inot) = generator_power_rated / generator_speed_f(inot)
[4465]	2918
[4497]	2919	ENDIF
[4465]	2920	!
[4497]	2921	!-- Calculate torque rate and confine with a max:
	2922	trq_rate = ( torque_gen(inot) - torque_gen_old(inot) ) / dt_3d
	2923	trq_rate = MIN( MAX( trq_rate, -1.0_wp * generator_torque_rate_max ), generator_torque_rate_max )
[4465]	2924	!
[4497]	2925	!-- Calculate new gen torque and confine with max torque:
	2926	torque_gen(inot) = torque_gen_old(inot) + trq_rate * dt_3d
	2927	torque_gen(inot) = MIN( torque_gen(inot), generator_torque_max )
[1864]	2928	!
[4497]	2929	!-- Overwrite values for next timestep:
	2930	rotor_speed_l(inot) = generator_speed(inot) / gear_ratio
[1864]	2931
[4465]	2932
[4497]	2933	END SUBROUTINE wtm_speed_control
[1864]	2934
	2935
[4497]	2936	!--------------------------------------------------------------------------------------------------!
[1864]	2937	! Description:
	2938	! ------------
[4497]	2939	!> Application of the additional forces generated by the wind turbine on the flow components
	2940	!> (tendency terms)
[1839]	2941	!> Call for all grid points
[4497]	2942	!--------------------------------------------------------------------------------------------------!
	2943	SUBROUTINE wtm_actions( location )
[1819]	2944
	2945
[4497]	2946	CHARACTER(LEN=*) :: location !<
[3875]	2947
[4497]	2948	INTEGER(iwp) :: i !< running index
	2949	INTEGER(iwp) :: j !< running index
	2950	INTEGER(iwp) :: k !< running index
[1819]	2951
	2952
[4497]	2953	SELECT CASE ( location )
[1819]	2954
[4497]	2955	CASE ( 'before_timestep' )
[3875]	2956
[4497]	2957	CALL wtm_forces
[3875]	2958
[4497]	2959	CASE ( 'u-tendency' )
[1819]	2960	!
[4497]	2961
	2962	!-- Apply the x-component of the force to the u-component of the flow:
	2963	IF ( time_since_reference_point >= time_turbine_on ) THEN
	2964	DO i = nxlg, nxrg
	2965	DO j = nysg, nyng
	2966	DO k = nzb + 1, MAXVAL( k_hub ) + MAXVAL( k_smear )
[1819]	2967	!
[4497]	2968	!-- Calculate the thrust generated by the nacelle and the tower:
	2969	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * SIGN( u(k,j,i)**2 , u(k,j,i) )
	2970	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * SIGN( u(k,j,i)**2 , u(k,j,i) )
	2971	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) - tend_nac_x - tend_tow_x ) * &
	2972	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 1 ) )
[1819]	2973	ENDDO
	2974	ENDDO
[4497]	2975	ENDDO
	2976	ENDIF
[1819]	2977
[4497]	2978	CASE ( 'v-tendency' )
[1819]	2979	!
[4497]	2980	!-- Apply the y-component of the force to the v-component of the flow:
	2981	IF ( time_since_reference_point >= time_turbine_on ) THEN
	2982	DO i = nxlg, nxrg
	2983	DO j = nysg, nyng
	2984	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
	2985	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * SIGN( v(k,j,i)**2 , v(k,j,i) )
	2986	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * SIGN( v(k,j,i)**2 , v(k,j,i) )
	2987	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) - tend_nac_y - tend_tow_y ) * &
	2988	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 2 ) )
[1819]	2989	ENDDO
	2990	ENDDO
[4497]	2991	ENDDO
	2992	ENDIF
[1819]	2993
[4497]	2994	CASE ( 'w-tendency' )
[1819]	2995	!
[4497]	2996	!-- Apply the z-component of the force to the w-component of the flow:
	2997	IF ( time_since_reference_point >= time_turbine_on ) THEN
	2998	DO i = nxlg, nxrg
	2999	DO j = nysg, nyng
	3000	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
	3001	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) * &
	3002	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 3 ) )
[1819]	3003	ENDDO
	3004	ENDDO
[4497]	3005	ENDDO
	3006	ENDIF
[1819]	3007
	3008
[4497]	3009	CASE DEFAULT
	3010	CONTINUE
[1819]	3011
[4497]	3012	END SELECT
[1819]	3013
	3014
[4497]	3015	END SUBROUTINE wtm_actions
[1819]	3016
	3017
[4497]	3018	!--------------------------------------------------------------------------------------------------!
[1819]	3019	! Description:
	3020	! ------------
[4497]	3021	!> Application of the additional forces generated by the wind turbine on the flow components
	3022	!> (tendency terms)
[1839]	3023	!> Call for grid point i,j
[4497]	3024	!--------------------------------------------------------------------------------------------------!
	3025	SUBROUTINE wtm_actions_ij( i, j, location )
[1819]	3026
	3027
[4497]	3028	CHARACTER (LEN=*) :: location !<
[1819]	3029
[4497]	3030	INTEGER(iwp) :: i !< running index
	3031	INTEGER(iwp) :: j !< running index
	3032	INTEGER(iwp) :: k !< running index
[1819]	3033
[4497]	3034	SELECT CASE ( location )
[3875]	3035
[4497]	3036	CASE ( 'before_timestep' )
[3875]	3037
[4497]	3038	CALL wtm_forces
	3039
	3040	CASE ( 'u-tendency' )
[1819]	3041	!
[4497]	3042	!-- Apply the x-component of the force to the u-component of the flow:
	3043	IF ( time_since_reference_point >= time_turbine_on ) THEN
	3044	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	3045	!
[4497]	3046	!-- Calculate the thrust generated by the nacelle and the tower:
	3047	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * SIGN( u(k,j,i)**2 , u(k,j,i) )
	3048	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * SIGN( u(k,j,i)**2 , u(k,j,i) )
	3049	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) - tend_nac_x - tend_tow_x ) * &
	3050	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 1 ) )
	3051	ENDDO
	3052	ENDIF
[1819]	3053
[4497]	3054	CASE ( 'v-tendency' )
[1819]	3055	!
[4497]	3056	!-- Apply the y-component of the force to the v-component of the flow:
	3057	IF ( time_since_reference_point >= time_turbine_on ) THEN
	3058	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
	3059	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * SIGN( v(k,j,i)**2 , v(k,j,i) )
	3060	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * SIGN( v(k,j,i)**2 , v(k,j,i) )
	3061	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) - tend_nac_y - tend_tow_y ) * &
	3062	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 2 ) )
	3063	ENDDO
	3064	ENDIF
[1819]	3065
[4497]	3066	CASE ( 'w-tendency' )
[1819]	3067	!
[4497]	3068	!-- Apply the z-component of the force to the w-component of the flow:
	3069	IF ( time_since_reference_point >= time_turbine_on ) THEN
	3070	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
	3071	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) * &
	3072	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 3 ) )
	3073	ENDDO
	3074	ENDIF
[1819]	3075
	3076
[4497]	3077	CASE DEFAULT
	3078	CONTINUE
[1819]	3079
[4497]	3080	END SELECT
[1819]	3081
	3082
[4497]	3083	END SUBROUTINE wtm_actions_ij
[1819]	3084
[4411]	3085
[4497]	3086	SUBROUTINE wtm_data_output
[4411]	3087
[4465]	3088
[4497]	3089	INTEGER(iwp) :: return_value !< returned status value of called function
	3090	INTEGER(iwp) :: t_ind = 0 !< time index
[4465]	3091
[4497]	3092	IF ( myid == 0 ) THEN
[4465]	3093
[4497]	3094	!
	3095	!-- At the first call of this routine write the spatial coordinates:
	3096	IF ( .NOT. initial_write_coordinates ) THEN
[4447]	3097	ALLOCATE ( output_values_1d_target(1:n_turbines) )
[4497]	3098	output_values_1d_target = hub_x(1:n_turbines)
[4423]	3099	output_values_1d_pointer => output_values_1d_target
[4497]	3100	return_value = dom_write_var( nc_filename, &
	3101	'x', &
	3102	values_realwp_1d = output_values_1d_pointer, &
	3103	bounds_start = (/1/), &
	3104	bounds_end = (/n_turbines/) )
[4411]	3105
[4497]	3106	output_values_1d_target = hub_y(1:n_turbines)
	3107	output_values_1d_pointer => output_values_1d_target
	3108	return_value = dom_write_var( nc_filename, &
	3109	'y', &
	3110	values_realwp_1d = output_values_1d_pointer, &
	3111	bounds_start = (/1/), &
	3112	bounds_end = (/n_turbines/) )
[4411]	3113
[4497]	3114	output_values_1d_target = hub_z(1:n_turbines)
	3115	output_values_1d_pointer => output_values_1d_target
	3116	return_value = dom_write_var( nc_filename, &
	3117	'z', &
	3118	values_realwp_1d = output_values_1d_pointer, &
	3119	bounds_start = (/1/), &
	3120	bounds_end = (/n_turbines/) )
[4411]	3121
[4497]	3122	output_values_1d_target = rotor_radius(1:n_turbines) * 2.0_wp
	3123	output_values_1d_pointer => output_values_1d_target
	3124	return_value = dom_write_var( nc_filename, &
	3125	'rotor_diameter', &
	3126	values_realwp_1d = output_values_1d_pointer, &
	3127	bounds_start = (/1/), &
	3128	bounds_end = (/n_turbines/) )
[4411]	3129
[4497]	3130	output_values_1d_target = tower_diameter(1:n_turbines)
	3131	output_values_1d_pointer => output_values_1d_target
	3132	return_value = dom_write_var( nc_filename, &
	3133	'tower_diameter', &
	3134	values_realwp_1d = output_values_1d_pointer, &
	3135	bounds_start = (/1/), &
	3136	bounds_end = (/n_turbines/) )
[4411]	3137
[4497]	3138	initial_write_coordinates = .TRUE.
	3139	DEALLOCATE ( output_values_1d_target )
	3140	ENDIF
[4411]	3141
[4497]	3142	t_ind = t_ind + 1
[4411]	3143
[4497]	3144	ALLOCATE ( output_values_1d_target(1:n_turbines) )
	3145	output_values_1d_target = rotor_speed(:)
	3146	output_values_1d_pointer => output_values_1d_target
[4411]	3147
[4497]	3148	return_value = dom_write_var( nc_filename, &
	3149	'rotor_speed', &
	3150	values_realwp_1d = output_values_1d_pointer, &
	3151	bounds_start = (/1, t_ind/), &
	3152	bounds_end = (/n_turbines, t_ind /) )
[4411]	3153
[4497]	3154	output_values_1d_target = generator_speed(:)
	3155	output_values_1d_pointer => output_values_1d_target
	3156	return_value = dom_write_var( nc_filename, &
	3157	'generator_speed', &
	3158	values_realwp_1d = output_values_1d_pointer, &
	3159	bounds_start = (/1, t_ind/), &
	3160	bounds_end = (/n_turbines, t_ind /) )
[4411]	3161
[4497]	3162	output_values_1d_target = torque_gen_old(:)
	3163	output_values_1d_pointer => output_values_1d_target
[4411]	3164
[4497]	3165	return_value = dom_write_var( nc_filename, &
	3166	'generator_torque', &
	3167	values_realwp_1d = output_values_1d_pointer, &
	3168	bounds_start = (/1, t_ind/), &
	3169	bounds_end = (/n_turbines, t_ind /) )
[4411]	3170
[4497]	3171	output_values_1d_target = torque_total(:)
	3172	output_values_1d_pointer => output_values_1d_target
[4411]	3173
[4497]	3174	return_value = dom_write_var( nc_filename, &
	3175	'rotor_torque', &
	3176	values_realwp_1d = output_values_1d_pointer, &
	3177	bounds_start = (/1, t_ind/), &
	3178	bounds_end = (/n_turbines, t_ind /) )
	3179
	3180	output_values_1d_target = pitch_angle(:)
	3181	output_values_1d_pointer => output_values_1d_target
	3182
	3183	return_value = dom_write_var( nc_filename, &
	3184	'pitch_angle', &
	3185	values_realwp_1d = output_values_1d_pointer, &
	3186	bounds_start = (/1, t_ind/), &
	3187	bounds_end = (/n_turbines, t_ind /) )
	3188
	3189	output_values_1d_target = torque_gen_old(:) * generator_speed(:) * generator_efficiency
	3190	output_values_1d_pointer => output_values_1d_target
	3191
	3192	return_value = dom_write_var( nc_filename, &
	3193	'generator_power', &
	3194	values_realwp_1d = output_values_1d_pointer, &
	3195	bounds_start = (/1, t_ind/), &
	3196	bounds_end = (/n_turbines, t_ind /) )
	3197
	3198	DO inot = 1, n_turbines
	3199	output_values_1d_target(inot) = torque_total(inot) * rotor_speed(inot) * air_density
	3200	ENDDO
	3201	output_values_1d_pointer => output_values_1d_target
	3202
	3203	return_value = dom_write_var( nc_filename, &
	3204	'rotor_power', &
	3205	values_realwp_1d = output_values_1d_pointer, &
	3206	bounds_start = (/1, t_ind/), &
	3207	bounds_end = (/n_turbines, t_ind /) )
	3208
	3209	output_values_1d_target = thrust_rotor(:)
	3210	output_values_1d_pointer => output_values_1d_target
	3211
	3212	return_value = dom_write_var( nc_filename, &
	3213	'rotor_thrust', &
	3214	values_realwp_1d = output_values_1d_pointer, &
	3215	bounds_start = (/1, t_ind/), &
	3216	bounds_end = (/n_turbines, t_ind /) )
	3217
	3218	output_values_1d_target = wdir(:)*180.0_wp/pi
	3219	output_values_1d_pointer => output_values_1d_target
	3220
	3221	return_value = dom_write_var( nc_filename, &
	3222	'wind_direction', &
	3223	values_realwp_1d = output_values_1d_pointer, &
	3224	bounds_start = (/1, t_ind/), &
	3225	bounds_end = (/n_turbines, t_ind /) )
	3226
	3227	output_values_1d_target = (yaw_angle(:)) * 180.0_wp / pi
	3228	output_values_1d_pointer => output_values_1d_target
	3229
	3230	return_value = dom_write_var( nc_filename, &
	3231	'yaw_angle', &
	3232	values_realwp_1d = output_values_1d_pointer, &
	3233	bounds_start = (/1, t_ind/), &
	3234	bounds_end = (/n_turbines, t_ind /) )
	3235
	3236	output_values_0d_target = time_since_reference_point
	3237	output_values_0d_pointer => output_values_0d_target
	3238
	3239	return_value = dom_write_var( nc_filename, &
	3240	'time', &
	3241	values_realwp_0d = output_values_0d_pointer, &
	3242	bounds_start = (/t_ind/), &
	3243	bounds_end = (/t_ind/) )
	3244
	3245	DEALLOCATE ( output_values_1d_target )
	3246
	3247	ENDIF
	3248
	3249	END SUBROUTINE wtm_data_output
	3250
[1819]	3251	END MODULE wind_turbine_model_mod

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