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source: palm/trunk/SOURCE/wind_turbine_model_mod.f90 @ 3049

Last change on this file since 3049 was 3049, checked in by Giersch, 6 years ago
Revision history corrected
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[1820]	1	!> @file wind_turbine_model_mod.f90
[1912]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1819]	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1819]	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
[2718]	17	! Copyright 2009-2018 Carl von Ossietzky Universitaet Oldenburg
	18	! Copyright 1997-2018 Leibniz Universitaet Hannover
[1912]	19	!------------------------------------------------------------------------------!
[1819]	20	!
	21	! Current revisions:
	22	! -----------------
[1913]	23	!
[3049]	24	!
[1913]	25	! Former revisions:
	26	! -----------------
	27	! $Id: wind_turbine_model_mod.f90 3049 2018-05-29 13:52:36Z Giersch $
[3049]	28	! Error messages revised
	29	!
	30	! 2932 2018-03-26 09:39:22Z Giersch
[2932]	31	! renamed wind_turbine_par to wind_turbine_parameters
	32	!
	33	! 2894 2018-03-15 09:17:58Z Giersch
[2894]	34	! variable named found has been introduced for checking if restart data was
	35	! found, reading of restart strings has been moved completely to
	36	! read_restart_data_mod, wind_turbine_prerun flag has been removed, redundant
	37	! skipping function has been removed, wtm_read/write_restart_data have been
	38	! renamed to wtm_r/wrd_global, wtm_rrd_global is called in
	39	! read_restart_data_mod now, marker * end wtm * was removed, strings and
	40	! their respective lengths are written out and read now in case of restart
	41	! runs to get rid of prescribed character lengths, CASE DEFAULT was added if
	42	! restart data is read
	43	!
	44	! 2885 2018-03-14 11:02:46Z Giersch
[2836]	45	! Bugfix in interpolation of lift and drag coefficients on fine grid of radius
	46	! segments and angles of attack, speed-up of the initialization of the wind
	47	! turbine model
	48	!
	49	! 2792 2018-02-07 06:45:29Z Giersch
[2792]	50	! omega_rot_l has to be calculated after determining the indices for the hub in
	51	! case of restart runs
	52	!
	53	! 2776 2018-01-31 10:44:42Z Giersch
[2776]	54	! wind_turbine_prerun flag is used to define if module
	55	! related parameters were outputted as restart data
	56	!
	57	! 2718 2018-01-02 08:49:38Z maronga
[2716]	58	! Corrected "Former revisions" section
	59	!
	60	! 2696 2017-12-14 17:12:51Z kanani
	61	! Change in file header (GPL part)
	62	!
	63	! 2669 2017-12-06 16:03:27Z raasch
[2669]	64	! filename of turbine output changed to WTM_OUTPUT_DATA. File extension now
	65	! includes the nest domain number. Turbine extension changed to "_T##"
	66	!
	67	! 2576 2017-10-24 13:49:46Z Giersch
[2894]	68	! Definition of a new function called wtm_skip_global to skip module
[2576]	69	! parameters during reading restart data
	70	!
	71	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	72	! Restart runs with wind turbine model are possible now. For this purpose, two
	73	! new subroutines wtm_write_restart_data and wtm_read_restart_data had to be
	74	! defined
	75	!
	76	! 2553 2017-10-18 08:03:45Z Giersch
[2553]	77	! Bugfix of vertical loop in wtm_tendencies to account for different turbine
	78	! heights, bugfix of the interpolation of the u-component concerning the
	79	! vertical index and further small adjustments of the programming style
	80	!
	81	! 2410 2017-09-06 08:16:30Z Giersch
[2410]	82	! Revise error message PA0462
	83	!
	84	! 2349 2017-08-10 15:44:04Z Giersch
[2349]	85	! Add parameter pitch_rate to namelist and revise/add error messages
	86	!
	87	! 2343 2017-08-08 11:28:43Z Giersch
[2341]	88	! Unit correction in Doxygen comments
[2323]	89	!
[2343]	90	! 2323 2017-07-26 12:57:38Z Giersch
	91	! Change unit number of file WTM_DATA from 201 to 90
	92	!
[2323]	93	! 2322 2017-07-26 08:30:28Z Giersch
[2322]	94	! Bugfix of error message and assign error numbers
	95	!
	96	! 2257 2017-06-07 14:07:05Z witha
[2257]	97	! Bugfix: turb_cl_tab and turb_cd_tab were set to zero before being allocated
[1844]	98	!
[2257]	99	! 2233 2017-05-30 18:08:54Z suehring
	100	!
[2233]	101	! 2232 2017-05-30 17:47:52Z suehring
	102	! Adjustments to new topography concept
	103	!
[2153]	104	! 2152 2017-02-17 13:27:24Z lvollmer
	105	! Bugfix in subroutine wtm_read_blade_tables
	106	! Addition of a tip loss model
	107	!
[2016]	108	! 2015 2016-09-28 08:45:18Z lvollmer
	109	! Bugfix of pitch control
	110	!
[2001]	111	! 2000 2016-08-20 18:09:15Z knoop
	112	! Forced header and separation lines into 80 columns
	113	!
[1930]	114	! 1929 2016-06-09 16:25:25Z suehring
	115	! Bugfix: added preprocessor directives for parallel and serial mode
	116	!
[1917]	117	! 1914 2016-05-26 14:44:07Z witha
[1821]	118	! Initial revision
	119	!
[1819]	120	!
	121	! Description:
	122	! ------------
	123	!> This module calculates the effect of wind turbines on the flow fields. The
	124	!> initial version contains only the advanced actuator disk with rotation method
	125	!> (ADM-R).
	126	!> The wind turbines include the tower effect, can be yawed and tilted.
	127	!> The wind turbine model includes controllers for rotational speed, pitch and
	128	!> yaw.
	129	!> Currently some specifications of the NREL 5 MW reference turbine
	130	!> are hardcoded whereas most input data comes from separate files (currently
	131	!> external, planned to be included as namelist which will be read in
	132	!> automatically).
	133	!>
	134	!> @todo Revise code according to PALM Coding Standard
	135	!> @todo Implement ADM and ALM turbine models
	136	!> @todo Generate header information
[1917]	137	!> @todo Implement further parameter checks and error messages
[1819]	138	!> @todo Revise and add code documentation
	139	!> @todo Output turbine parameters as timeseries
	140	!> @todo Include additional output variables
[1864]	141	!> @todo Revise smearing the forces for turbines in yaw
	142	!> @todo Revise nacelle and tower parameterization
	143	!> @todo Allow different turbine types in one simulation
[1819]	144	!
	145	!------------------------------------------------------------------------------!
	146	MODULE wind_turbine_model_mod
	147
	148	USE arrays_3d, &
[2553]	149	ONLY: tend, u, v, w, zu, zw
[1819]	150
[2553]	151	USE constants, &
	152	ONLY: pi
[1819]	153
	154	USE control_parameters, &
[2669]	155	ONLY: coupling_char, dt_3d, dz, message_string, simulated_time, &
[2894]	156	wind_turbine, initializing_actions
[1819]	157
	158	USE cpulog, &
	159	ONLY: cpu_log, log_point_s
	160
	161	USE grid_variables, &
	162	ONLY: ddx, dx, ddy, dy
	163
	164	USE indices, &
	165	ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nz, &
[2232]	166	nzb, nzt, wall_flags_0
[1819]	167
	168	USE kinds
	169
	170	USE pegrid
	171
	172
	173	IMPLICIT NONE
	174
[1864]	175	PRIVATE
[1819]	176
	177	!
	178	!-- Variables specified in the namelist wind_turbine_par
	179
[1864]	180	INTEGER(iwp) :: nairfoils = 8 !< number of airfoils of the used turbine model (for ADM-R and ALM)
[1839]	181	INTEGER(iwp) :: nturbines = 1 !< number of turbines
[1819]	182
[1839]	183	LOGICAL :: pitch_control = .FALSE. !< switch for use of pitch controller
	184	LOGICAL :: speed_control = .FALSE. !< switch for use of speed controller
	185	LOGICAL :: yaw_control = .FALSE. !< switch for use of yaw controller
[2152]	186	LOGICAL :: tl_cor = .FALSE. !< switch for use of tip loss correct.
[1819]	187
[1839]	188	REAL(wp) :: segment_length = 1.0_wp !< length of the segments, the rotor area is divided into
	189	!< (in tangential direction, as factor of MIN(dx,dy,dz))
	190	REAL(wp) :: segment_width = 0.5_wp !< width of the segments, the rotor area is divided into
	191	!< (in radial direction, as factor of MIN(dx,dy,dz))
	192	REAL(wp) :: time_turbine_on = 0.0_wp !< time at which turbines are started
	193	REAL(wp) :: tilt = 0.0_wp !< vertical tilt of the rotor [degree] ( positive = backwards )
[1819]	194
[1912]	195	REAL(wp), DIMENSION(1:100) :: dtow = 0.0_wp !< tower diameter [m]
[2553]	196	REAL(wp), DIMENSION(1:100) :: omega_rot = 0.9_wp !< inital or constant rotor speed [rad/s]
[1912]	197	REAL(wp), DIMENSION(1:100) :: phi_yaw = 0.0_wp !< yaw angle [degree] ( clockwise, 0 = facing west )
	198	REAL(wp), DIMENSION(1:100) :: pitch_add = 0.0_wp !< constant pitch angle
	199	REAL(wp), DIMENSION(1:100) :: rcx = 9999999.9_wp !< position of hub in x-direction
	200	REAL(wp), DIMENSION(1:100) :: rcy = 9999999.9_wp !< position of hub in y-direction
	201	REAL(wp), DIMENSION(1:100) :: rcz = 9999999.9_wp !< position of hub in z-direction
	202	REAL(wp), DIMENSION(1:100) :: rnac = 0.0_wp !< nacelle diameter [m]
	203	REAL(wp), DIMENSION(1:100) :: rr = 63.0_wp !< rotor radius [m]
	204	REAL(wp), DIMENSION(1:100) :: turb_cd_nacelle = 0.85_wp !< drag coefficient for nacelle
	205	REAL(wp), DIMENSION(1:100) :: turb_cd_tower = 1.2_wp !< drag coefficient for tower
[1839]	206
[1819]	207	!
	208	!-- Variables specified in the namelist for speed controller
	209	!-- Default values are from the NREL 5MW research turbine (Jonkman, 2008)
	210
[1912]	211	REAL(wp) :: rated_power = 5296610.0_wp !< rated turbine power [W]
[1839]	212	REAL(wp) :: gear_ratio = 97.0_wp !< Gear ratio from rotor to generator
[2341]	213	REAL(wp) :: inertia_rot = 34784179.0_wp !< Inertia of the rotor [kg*m2]
	214	REAL(wp) :: inertia_gen = 534.116_wp !< Inertia of the generator [kg*m2]
[1839]	215	REAL(wp) :: gen_eff = 0.944_wp !< Electric efficiency of the generator
	216	REAL(wp) :: gear_eff = 1.0_wp !< Loss between rotor and generator
	217	REAL(wp) :: air_dens = 1.225_wp !< Air density to convert to W [kg/m3]
	218	REAL(wp) :: rated_genspeed = 121.6805_wp !< Rated generator speed [rad/s]
[1912]	219	REAL(wp) :: max_torque_gen = 47402.91_wp !< Maximum of the generator torque [Nm]
[1839]	220	REAL(wp) :: slope2 = 2.332287_wp !< Slope constant for region 2
	221	REAL(wp) :: min_reg2 = 91.21091_wp !< Lower generator speed boundary of region 2 [rad/s]
	222	REAL(wp) :: min_reg15 = 70.16224_wp !< Lower generator speed boundary of region 1.5 [rad/s]
[1912]	223	REAL(wp) :: max_trq_rate = 15000.0_wp !< Max generator torque increase [Nm/s]
	224	REAL(wp) :: pitch_rate = 8.0_wp !< Max pitch rate [degree/s]
[1839]	225
[1912]	226
[1819]	227	!
	228	!-- Variables specified in the namelist for yaw control
	229
[1839]	230	REAL(wp) :: yaw_speed = 0.005236_wp !< speed of the yaw actuator [rad/s]
	231	REAL(wp) :: max_miss = 0.08726_wp !< maximum tolerated yaw missalignment [rad]
	232	REAL(wp) :: min_miss = 0.008726_wp !< minimum yaw missalignment for which the actuator stops [rad]
	233
[1819]	234	!
	235	!-- Set flag for output files TURBINE_PARAMETERS
	236	TYPE file_status
	237	LOGICAL :: opened, opened_before
	238	END TYPE file_status
	239
[1912]	240	TYPE(file_status), DIMENSION(500) :: openfile_turb_mod = &
	241	file_status(.FALSE.,.FALSE.)
[1819]	242
	243	!
	244	!-- Variables for initialization of the turbine model
	245
[1839]	246	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	247	INTEGER(iwp) :: nsegs_max !< maximum number of segments (all turbines, required for allocation of arrays)
	248	INTEGER(iwp) :: nrings_max !< maximum number of rings (all turbines, required for allocation of arrays)
	249	INTEGER(iwp) :: ring !< ring loop index (ring number)
	250	INTEGER(iwp) :: rr_int !<
	251	INTEGER(iwp) :: upper_end !<
[1819]	252
[1839]	253	INTEGER(iwp), DIMENSION(1) :: lct !<
[1819]	254
[1912]	255	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_hub !< index belonging to x-position of the turbine
	256	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_smear !< index defining the area for the smearing of the forces (x-direction)
	257	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_hub !< index belonging to y-position of the turbine
	258	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_smear !< index defining the area for the smearing of the forces (y-direction)
	259	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_hub !< index belonging to hub height
	260	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_smear !< index defining the area for the smearing of the forces (z-direction)
	261	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nrings !< number of rings per turbine
	262	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nsegs_total !< total number of segments per turbine
[1819]	263
[1912]	264	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nsegs !< number of segments per ring and turbine
[1819]	265
[1912]	266	!
	267	!- parameters for the smearing from the rotor to the cartesian grid
[1864]	268	REAL(wp) :: pol_a !< parameter for the polynomial smearing fct
	269	REAL(wp) :: pol_b !< parameter for the polynomial smearing fct
[1912]	270	REAL(wp) :: delta_t_factor !<
[1864]	271	REAL(wp) :: eps_factor !<
[1839]	272	REAL(wp) :: eps_min !<
	273	REAL(wp) :: eps_min2 !<
	274	REAL(wp) :: sqrt_arg !<
[1819]	275
[1839]	276	!
	277	!-- Variables for the calculation of lift and drag coefficients
[1912]	278	REAL(wp), DIMENSION(:), ALLOCATABLE :: ard !<
	279	REAL(wp), DIMENSION(:), ALLOCATABLE :: crd !<
	280	REAL(wp), DIMENSION(:), ALLOCATABLE :: delta_r !< radial segment length
	281	REAL(wp), DIMENSION(:), ALLOCATABLE :: lrd !<
[1864]	282
[1912]	283	REAL(wp) :: accu_cl_cd_tab = 0.1_wp !< Accuracy of the interpolation of
	284	!< the lift and drag coeff [deg]
[1819]	285
[1912]	286	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_tab !< table of the blade drag coefficient
	287	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_tab !< table of the blade lift coefficient
[1819]	288
[1912]	289	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: nac_cd_surf !< 3d field of the tower drag coefficient
	290	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: tow_cd_surf !< 3d field of the nacelle drag coefficient
[1819]	291
	292	!
	293	!-- Variables for the calculation of the forces
[1912]	294
[1839]	295	REAL(wp) :: cur_r !<
	296	REAL(wp) :: phi_rotor !<
	297	REAL(wp) :: pre_factor !<
	298	REAL(wp) :: torque_seg !<
	299	REAL(wp) :: u_int_l !<
	300	REAL(wp) :: u_int_u !<
	301	REAL(wp) :: u_rot !<
	302	REAL(wp) :: v_int_l !<
	303	REAL(wp) :: v_int_u !<
	304	REAL(wp) :: w_int_l !<
	305	REAL(wp) :: w_int_u !<
[1912]	306	!
	307	!- Tendencies from the nacelle and tower thrust
	308	REAL(wp) :: tend_nac_x = 0.0_wp !<
	309	REAL(wp) :: tend_tow_x = 0.0_wp !<
	310	REAL(wp) :: tend_nac_y = 0.0_wp !<
	311	REAL(wp) :: tend_tow_y = 0.0_wp !<
[1819]	312
[1912]	313	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack !<
	314	REAL(wp), DIMENSION(:), ALLOCATABLE :: chord !<
	315	REAL(wp), DIMENSION(:), ALLOCATABLE :: phi_rel !<
	316	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_total !<
	317	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_rotor !<
	318	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl !<
	319	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd !<
	320	REAL(wp), DIMENSION(:), ALLOCATABLE :: vrel !<
	321	REAL(wp), DIMENSION(:), ALLOCATABLE :: vtheta !<
	322
	323	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rbx, rby, rbz !< coordinates of the blade elements
	324	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rotx, roty, rotz !< normal vectors to the rotor coordinates
	325
	326	!
	327	!- Fields for the interpolation of velocities on the rotor grid
	328	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int !<
	329	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int_1_l !<
	330	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int !<
	331	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int_1_l !<
	332	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int !<
	333	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int_1_l !<
	334
	335	!
	336	!- rotor tendencies on the segments
	337	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_seg !<
	338	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_y !<
	339	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_z !<
	340
	341	!
	342	!- rotor tendencies on the rings
	343	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: thrust_ring !<
	344	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_y !<
	345	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_z !<
	346
	347	!
	348	!- rotor tendencies on rotor grids for all turbines
	349	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: thrust !<
	350	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_y !<
	351	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_z !<
	352
	353	!
	354	!- rotor tendencies on coordinate grid
	355	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_x !<
	356	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_y !<
	357	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_z !<
	358	!
	359	!- variables for the rotation of the rotor coordinates
	360	REAL(wp), DIMENSION(1:100,1:3,1:3) :: rot_coord_trans !< matrix for rotation of rotor coordinates
	361
[1839]	362	REAL(wp), DIMENSION(1:3) :: rot_eigen_rad !<
	363	REAL(wp), DIMENSION(1:3) :: rot_eigen_azi !<
	364	REAL(wp), DIMENSION(1:3) :: rot_eigen_nor !<
	365	REAL(wp), DIMENSION(1:3) :: re !<
	366	REAL(wp), DIMENSION(1:3) :: rea !<
	367	REAL(wp), DIMENSION(1:3) :: ren !<
	368	REAL(wp), DIMENSION(1:3) :: rote !<
	369	REAL(wp), DIMENSION(1:3) :: rota !<
	370	REAL(wp), DIMENSION(1:3) :: rotn !<
[1819]	371
[1839]	372	!
	373	!-- Fixed variables for the speed controller
[1819]	374
[1912]	375	LOGICAL :: start_up = .TRUE. !<
[1864]	376
[1912]	377	REAL(wp) :: Fcorner !< corner freq for the controller low pass filter
	378	REAL(wp) :: min_reg25 !< min region 2.5
	379	REAL(wp) :: om_rate !< rotor speed change
	380	REAL(wp) :: slope15 !< slope in region 1.5
	381	REAL(wp) :: slope25 !< slope in region 2.5
	382	REAL(wp) :: trq_rate !< torque change
	383	REAL(wp) :: vs_sysp !<
	384	REAL(wp) :: lp_coeff !< coeff for the controller low pass filter
[1819]	385
[1864]	386	REAL(wp), DIMENSION(100) :: omega_rot_l = 0.0_wp !< local rot speed [rad/s]
[2563]	387
[1839]	388	!
	389	!-- Fixed variables for the yaw controller
[1819]	390
[1912]	391	REAL(wp), DIMENSION(:) , ALLOCATABLE :: yawdir !< direction to yaw
	392	REAL(wp), DIMENSION(:) , ALLOCATABLE :: phi_yaw_l !< local (cpu) yaw angle
	393	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd30_l !< local (cpu) long running avg of the wd
	394	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd2_l !< local (cpu) short running avg of the wd
	395	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir !< wind direction at hub
	396	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow !< wind speed at hub
	397	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir_l !<
	398	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow_l !<
	399	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd30 !<
	400	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd2 !<
	401	LOGICAL, DIMENSION(1:100) :: doyaw = .FALSE. !<
	402	INTEGER(iwp) :: WDLON !<
	403	INTEGER(iwp) :: WDSHO !<
[1819]	404
[2563]	405	!
	406	!-- Variables that have to be saved in the binary file for restarts
	407	REAL(wp), DIMENSION(1:100) :: pitch_add_old = 0.0_wp !< old constant pitch angle
	408	REAL(wp), DIMENSION(1:100) :: omega_gen = 0.0_wp !< curr. generator speed
	409	REAL(wp), DIMENSION(1:100) :: omega_gen_f = 0.0_wp !< filtered generator speed
	410	REAL(wp), DIMENSION(1:100) :: omega_gen_old = 0.0_wp !< last generator speed
	411	REAL(wp), DIMENSION(1:100) :: omega_gen_f_old = 0.0_wp !< last filtered generator speed
	412	REAL(wp), DIMENSION(1:100) :: torque_gen = 0.0_wp !< generator torque
	413	REAL(wp), DIMENSION(1:100) :: torque_gen_old = 0.0_wp !< last generator torque
[1819]	414
[2563]	415
[1839]	416	SAVE
[1819]	417
[1839]	418
	419	INTERFACE wtm_parin
	420	MODULE PROCEDURE wtm_parin
	421	END INTERFACE wtm_parin
[2563]	422
[2894]	423	INTERFACE wtm_wrd_global
	424	MODULE PROCEDURE wtm_wrd_global
	425	END INTERFACE wtm_wrd_global
[2576]	426
[2894]	427	INTERFACE wtm_rrd_global
	428	MODULE PROCEDURE wtm_rrd_global
	429	END INTERFACE wtm_rrd_global
[1912]	430
	431	INTERFACE wtm_check_parameters
	432	MODULE PROCEDURE wtm_check_parameters
	433	END INTERFACE wtm_check_parameters
[1839]	434
	435	INTERFACE wtm_init_arrays
	436	MODULE PROCEDURE wtm_init_arrays
	437	END INTERFACE wtm_init_arrays
	438
	439	INTERFACE wtm_init
	440	MODULE PROCEDURE wtm_init
	441	END INTERFACE wtm_init
	442
[1912]	443	INTERFACE wtm_read_blade_tables
	444	MODULE PROCEDURE wtm_read_blade_tables
	445	END INTERFACE wtm_read_blade_tables
[1839]	446
[1819]	447	INTERFACE wtm_forces
	448	MODULE PROCEDURE wtm_forces
[2553]	449	END INTERFACE wtm_forces
	450
	451	INTERFACE wtm_yawcontrol
[1839]	452	MODULE PROCEDURE wtm_yawcontrol
[2553]	453	END INTERFACE wtm_yawcontrol
[1864]	454
	455	INTERFACE wtm_rotate_rotor
	456	MODULE PROCEDURE wtm_rotate_rotor
	457	END INTERFACE wtm_rotate_rotor
	458
	459	INTERFACE wtm_speed_control
	460	MODULE PROCEDURE wtm_init_speed_control
	461	MODULE PROCEDURE wtm_speed_control
	462	END INTERFACE wtm_speed_control
[1819]	463
	464	INTERFACE wtm_tendencies
	465	MODULE PROCEDURE wtm_tendencies
	466	MODULE PROCEDURE wtm_tendencies_ij
	467	END INTERFACE wtm_tendencies
[1864]	468
	469
[1912]	470	PUBLIC wtm_check_parameters, wtm_forces, wtm_init, wtm_init_arrays, &
[2894]	471	wtm_parin, wtm_wrd_global, wtm_rrd_global, wtm_tendencies
[1819]	472
[2563]	473
[1819]	474	CONTAINS
	475
	476
	477	!------------------------------------------------------------------------------!
	478	! Description:
	479	! ------------
[1839]	480	!> Parin for &wind_turbine_par for wind turbine model
[1819]	481	!------------------------------------------------------------------------------!
[1839]	482	SUBROUTINE wtm_parin
[1819]	483
	484
	485	IMPLICIT NONE
[1912]	486
	487	INTEGER(iwp) :: ierrn !<
[1819]	488
[1839]	489	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	490
	491	NAMELIST /wind_turbine_par/ air_dens, dtow, gear_eff, gear_ratio, &
[1864]	492	gen_eff, inertia_gen, inertia_rot, max_miss, &
[1839]	493	max_torque_gen, max_trq_rate, min_miss, &
[1864]	494	min_reg15, min_reg2, nairfoils, nturbines, &
[1912]	495	omega_rot, phi_yaw, pitch_add, pitch_control,&
[1839]	496	rated_genspeed, rated_power, rcx, rcy, rcz, &
	497	rnac, rr, segment_length, segment_width, &
[1864]	498	slope2, speed_control, tilt, time_turbine_on,&
[2349]	499	turb_cd_nacelle, turb_cd_tower, pitch_rate, &
[2152]	500	yaw_control, yaw_speed, tl_cor
[2932]	501
	502	NAMELIST /wind_turbine_parameters/ &
	503	air_dens, dtow, gear_eff, gear_ratio, &
	504	gen_eff, inertia_gen, inertia_rot, max_miss, &
	505	max_torque_gen, max_trq_rate, min_miss, &
	506	min_reg15, min_reg2, nairfoils, nturbines, &
	507	omega_rot, phi_yaw, pitch_add, pitch_control,&
	508	rated_genspeed, rated_power, rcx, rcy, rcz, &
	509	rnac, rr, segment_length, segment_width, &
	510	slope2, speed_control, tilt, time_turbine_on,&
	511	turb_cd_nacelle, turb_cd_tower, pitch_rate, &
	512	yaw_control, yaw_speed, tl_cor
[1819]	513	!
[1839]	514	!-- Try to find wind turbine model package
	515	REWIND ( 11 )
	516	line = ' '
[2932]	517	DO WHILE ( INDEX( line, '&wind_turbine_parameters' ) == 0 )
[1839]	518	READ ( 11, '(A)', END=10 ) line
	519	ENDDO
	520	BACKSPACE ( 11 )
	521
	522	!
	523	!-- Read user-defined namelist
[2932]	524	READ ( 11, wind_turbine_parameters, IOSTAT=ierrn )
	525
	526	IF ( ierrn < 0 ) THEN
	527	message_string = 'no wind_turbine_parameters-NAMELIST found: ' // &
	528	'End of file has reached'
	529	CALL message( 'wtm_parin', 'PA0460', 1, 2, 0, 6, 0 )
	530	ELSEIF ( ierrn > 0 ) THEN
	531	message_string = 'errors in wind_turbine_parameters-NAMELIST: ' // &
	532	'some variables for steering may not be properly set'
	533	CALL message( 'wtm_parin', 'PA0466', 1, 2, 0, 6, 0 )
	534	ENDIF
	535
	536	!
	537	!-- Set flag that indicates that the wind turbine model is switched on
	538	wind_turbine = .TRUE.
	539
	540	GOTO 12
	541
	542	!
	543	!-- Try to find wind turbine model package
	544	10 REWIND ( 11 )
	545	line = ' '
	546	DO WHILE ( INDEX( line, '&wind_turbine_par' ) == 0 )
	547	READ ( 11, '(A)', END=12 ) line
	548	ENDDO
	549	BACKSPACE ( 11 )
	550
	551	!
	552	!-- Read user-defined namelist
[1912]	553	READ ( 11, wind_turbine_par, IOSTAT=ierrn )
[2349]	554
[1912]	555	IF ( ierrn < 0 ) THEN
[2349]	556	message_string = 'no wind_turbine_par-NAMELIST found: ' // &
	557	'End of file has reached'
[2322]	558	CALL message( 'wtm_parin', 'PA0460', 1, 2, 0, 6, 0 )
[2349]	559	ELSEIF ( ierrn > 0 ) THEN
[2932]	560	message_string = 'errors in wind_turbine_par-NAMELIST: ' // &
[2349]	561	'some variables for steering may not be properly set'
	562	CALL message( 'wtm_parin', 'PA0466', 1, 2, 0, 6, 0 )
[1912]	563	ENDIF
[2932]	564
	565	message_string = 'namelist wind_tubrine_par is deprecated and will ' // &
[3046]	566	'be removed in near future. &Please use namelist ' // &
[2932]	567	'wind_turbine_parameters instead'
	568	CALL message( 'wtm_parin', 'PA0487', 0, 1, 0, 6, 0 )
	569
[1839]	570	!
	571	!-- Set flag that indicates that the wind turbine model is switched on
	572	wind_turbine = .TRUE.
	573
[2932]	574	12 CONTINUE ! TBD Change from continue, mit ierrn machen
[2563]	575
[1839]	576
	577	END SUBROUTINE wtm_parin
	578
[2563]	579
	580	!------------------------------------------------------------------------------!
	581	! Description:
	582	! ------------
[2894]	583	!> This routine writes the respective restart data.
[2576]	584	!------------------------------------------------------------------------------!
[2894]	585	SUBROUTINE wtm_wrd_global
[2576]	586
	587
[2563]	588	IMPLICIT NONE
[2776]	589
[2563]	590
[2894]	591	CALL wrd_write_string( 'omega_gen' )
[2563]	592	WRITE ( 14 ) omega_gen
[2894]	593
	594	CALL wrd_write_string( 'omega_gen_f' )
[2563]	595	WRITE ( 14 ) omega_gen_f
[2894]	596
	597	CALL wrd_write_string( 'omega_gen_f_old' )
[2563]	598	WRITE ( 14 ) omega_gen_f_old
[2894]	599
	600	CALL wrd_write_string( 'omega_gen_old' )
[2563]	601	WRITE ( 14 ) omega_gen_old
[2894]	602
	603	CALL wrd_write_string( 'omega_rot' )
[2563]	604	WRITE ( 14 ) omega_rot
[2894]	605
	606	CALL wrd_write_string( 'phi_yaw' )
	607	WRITE ( 14 ) phi_yaw
	608
	609	CALL wrd_write_string( 'pitch_add' )
[2563]	610	WRITE ( 14 ) pitch_add
[2894]	611
	612	CALL wrd_write_string( 'pitch_add_old' )
[2563]	613	WRITE ( 14 ) pitch_add_old
[2894]	614
	615	CALL wrd_write_string( 'torque_gen' )
[2563]	616	WRITE ( 14 ) torque_gen
[2894]	617
	618	CALL wrd_write_string( 'torque_gen_old' )
[2563]	619	WRITE ( 14 ) torque_gen_old
[2894]	620
[2563]	621
[2894]	622	END SUBROUTINE wtm_wrd_global
[2563]	623
	624
	625	!------------------------------------------------------------------------------!
	626	! Description:
	627	! ------------
	628	!> This routine reads the respective restart data.
	629	!------------------------------------------------------------------------------!
[2894]	630	SUBROUTINE wtm_rrd_global( found )
[2563]	631
	632
[2894]	633	USE control_parameters, &
	634	ONLY: length, restart_string
	635
	636
[2563]	637	IMPLICIT NONE
	638
[2894]	639	LOGICAL, INTENT(OUT) :: found
[2563]	640
	641
[2894]	642	found = .TRUE.
[2563]	643
	644
[2894]	645	SELECT CASE ( restart_string(1:length) )
[2563]	646
[2894]	647	CASE ( 'omega_gen' )
	648	READ ( 13 ) omega_gen
	649	CASE ( 'omega_gen_f' )
	650	READ ( 13 ) omega_gen_f
	651	CASE ( 'omega_gen_f_old' )
	652	READ ( 13 ) omega_gen_f_old
	653	CASE ( 'omega_gen_old' )
	654	READ ( 13 ) omega_gen_old
	655	CASE ( 'omega_rot' )
	656	READ ( 13 ) omega_rot
	657	CASE ( 'phi_yaw' )
	658	READ ( 13 ) phi_yaw
	659	CASE ( 'pitch_add' )
	660	READ ( 13 ) pitch_add
	661	CASE ( 'pitch_add_old' )
	662	READ ( 13 ) pitch_add_old
	663	CASE ( 'torque_gen' )
	664	READ ( 13 ) torque_gen
	665	CASE ( 'torque_gen_old' )
	666	READ ( 13 ) torque_gen_old
[2563]	667
[2894]	668	CASE DEFAULT
[2563]	669
[2894]	670	found = .FALSE.
[2563]	671
[2894]	672	END SELECT
	673
[2563]	674
[2894]	675	END SUBROUTINE wtm_rrd_global
	676
	677
[2563]	678	!------------------------------------------------------------------------------!
	679	! Description:
	680	! ------------
	681	!> Check namelist parameter
	682	!------------------------------------------------------------------------------!
[1912]	683	SUBROUTINE wtm_check_parameters
	684
	685
	686	IMPLICIT NONE
	687
	688	IF ( ( .NOT.speed_control ) .AND. pitch_control ) THEN
	689	message_string = 'pitch_control = .TRUE. requires '// &
	690	'speed_control = .TRUE.'
[2322]	691	CALL message( 'wtm_check_parameters', 'PA0461', 1, 2, 0, 6, 0 )
[1912]	692	ENDIF
	693
[2322]	694	IF ( ANY( omega_rot(1:nturbines) < 0.0 ) ) THEN
	695	message_string = 'omega_rot < 0.0, Please set omega_rot to ' // &
[2792]	696	'a value equal or larger than zero'
[2322]	697	CALL message( 'wtm_check_parameters', 'PA0462', 1, 2, 0, 6, 0 )
[1912]	698	ENDIF
	699
	700
	701	IF ( ANY( rcx(1:nturbines) == 9999999.9_wp ) .OR. &
	702	ANY( rcy(1:nturbines) == 9999999.9_wp ) .OR. &
	703	ANY( rcz(1:nturbines) == 9999999.9_wp ) ) THEN
	704
	705	message_string = 'rcx, rcy, rcz ' // &
	706	'have to be given for each turbine.'
[2322]	707	CALL message( 'wtm_check_parameters', 'PA0463', 1, 2, 0, 6, 0 )
[1912]	708
	709	ENDIF
	710
	711
	712	END SUBROUTINE wtm_check_parameters
	713
	714
[1839]	715	!------------------------------------------------------------------------------!
	716	! Description:
	717	! ------------
	718	!> Allocate wind turbine model arrays
	719	!------------------------------------------------------------------------------!
	720	SUBROUTINE wtm_init_arrays
	721
	722
	723	IMPLICIT NONE
	724
[1864]	725	REAL(wp) :: delta_r_factor !<
	726	REAL(wp) :: delta_r_init !<
	727
[1839]	728	!
	729	!-- To be able to allocate arrays with dimension of rotor rings and segments,
[1819]	730	!-- the maximum possible numbers of rings and segments have to be calculated:
	731
	732	ALLOCATE( nrings(1:nturbines) )
	733	ALLOCATE( delta_r(1:nturbines) )
	734
	735	nrings(:) = 0
	736	delta_r(:) = 0.0_wp
	737
	738	!
	739	!-- Thickness (radial) of each ring and length (tangential) of each segment:
	740	delta_r_factor = segment_width
	741	delta_t_factor = segment_length
	742	delta_r_init = delta_r_factor * MIN( dx, dy, dz)
	743
	744	DO inot = 1, nturbines
	745	!
	746	!-- Determine number of rings:
	747	nrings(inot) = NINT( rr(inot) / delta_r_init )
	748
	749	delta_r(inot) = rr(inot) / nrings(inot)
	750
	751	ENDDO
	752
	753	nrings_max = MAXVAL(nrings)
	754
	755	ALLOCATE( nsegs(1:nrings_max,1:nturbines) )
	756	ALLOCATE( nsegs_total(1:nturbines) )
	757
	758	nsegs(:,:) = 0
	759	nsegs_total(:) = 0
	760
	761
	762	DO inot = 1, nturbines
	763	DO ring = 1, nrings(inot)
	764	!
	765	!-- Determine number of segments for each ring:
[1839]	766	nsegs(ring,inot) = MAX( 8, CEILING( delta_r_factor * pi * &
	767	( 2.0_wp * ring - 1.0_wp ) / &
	768	delta_t_factor ) )
[1819]	769	ENDDO
	770	!
	771	!-- Total sum of all rotor segments:
[1839]	772	nsegs_total(inot) = SUM( nsegs(:,inot) )
[1819]	773
	774	ENDDO
	775
	776	!
	777	!-- Maximum number of segments per ring:
	778	nsegs_max = MAXVAL(nsegs)
	779
[1864]	780	!!
	781	!!-- TODO: Folgendes im Header ausgeben!
	782	! IF ( myid == 0 ) THEN
	783	! PRINT*, 'nrings(1) = ', nrings(1)
	784	! PRINT*, '--------------------------------------------------'
	785	! PRINT*, 'nsegs(:,1) = ', nsegs(:,1)
	786	! PRINT*, '--------------------------------------------------'
	787	! PRINT*, 'nrings_max = ', nrings_max
	788	! PRINT*, 'nsegs_max = ', nsegs_max
	789	! PRINT*, 'nsegs_total(1) = ', nsegs_total(1)
	790	! ENDIF
[1819]	791
	792
	793	!
	794	!-- Allocate 1D arrays (dimension = number of turbines)
	795	ALLOCATE( i_hub(1:nturbines) )
	796	ALLOCATE( i_smear(1:nturbines) )
	797	ALLOCATE( j_hub(1:nturbines) )
	798	ALLOCATE( j_smear(1:nturbines) )
	799	ALLOCATE( k_hub(1:nturbines) )
	800	ALLOCATE( k_smear(1:nturbines) )
	801	ALLOCATE( torque_total(1:nturbines) )
[1912]	802	ALLOCATE( thrust_rotor(1:nturbines) )
[1819]	803
	804	!
	805	!-- Allocation of the 1D arrays for yaw control
	806	ALLOCATE( yawdir(1:nturbines) )
	807	ALLOCATE( u_inflow(1:nturbines) )
	808	ALLOCATE( wdir(1:nturbines) )
	809	ALLOCATE( u_inflow_l(1:nturbines) )
	810	ALLOCATE( wdir_l(1:nturbines) )
	811	ALLOCATE( phi_yaw_l(1:nturbines) )
	812
	813	!
	814	!-- Allocate 1D arrays (dimension = number of rotor segments)
	815	ALLOCATE( alpha_attack(1:nsegs_max) )
	816	ALLOCATE( chord(1:nsegs_max) )
	817	ALLOCATE( phi_rel(1:nsegs_max) )
	818	ALLOCATE( thrust_seg(1:nsegs_max) )
	819	ALLOCATE( torque_seg_y(1:nsegs_max) )
	820	ALLOCATE( torque_seg_z(1:nsegs_max) )
[1839]	821	ALLOCATE( turb_cd(1:nsegs_max) )
	822	ALLOCATE( turb_cl(1:nsegs_max) )
[1819]	823	ALLOCATE( vrel(1:nsegs_max) )
	824	ALLOCATE( vtheta(1:nsegs_max) )
	825
	826	!
	827	!-- Allocate 2D arrays (dimension = number of rotor rings and segments)
	828	ALLOCATE( rbx(1:nrings_max,1:nsegs_max) )
	829	ALLOCATE( rby(1:nrings_max,1:nsegs_max) )
	830	ALLOCATE( rbz(1:nrings_max,1:nsegs_max) )
	831	ALLOCATE( thrust_ring(1:nrings_max,1:nsegs_max) )
	832	ALLOCATE( torque_ring_y(1:nrings_max,1:nsegs_max) )
	833	ALLOCATE( torque_ring_z(1:nrings_max,1:nsegs_max) )
	834
	835	!
	836	!-- Allocate additional 2D arrays
	837	ALLOCATE( rotx(1:nturbines,1:3) )
	838	ALLOCATE( roty(1:nturbines,1:3) )
	839	ALLOCATE( rotz(1:nturbines,1:3) )
	840
	841	!
	842	!-- Allocate 3D arrays (dimension = number of grid points)
[1912]	843	ALLOCATE( nac_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	844	ALLOCATE( rot_tend_x(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	845	ALLOCATE( rot_tend_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	846	ALLOCATE( rot_tend_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	847	ALLOCATE( thrust(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	848	ALLOCATE( torque_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	849	ALLOCATE( torque_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1912]	850	ALLOCATE( tow_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	851
	852	!
	853	!-- Allocate additional 3D arrays
	854	ALLOCATE( u_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	855	ALLOCATE( u_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	856	ALLOCATE( v_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	857	ALLOCATE( v_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	858	ALLOCATE( w_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	859	ALLOCATE( w_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	860
	861	!
	862	!-- All of the arrays are initialized with a value of zero:
	863	i_hub(:) = 0
	864	i_smear(:) = 0
	865	j_hub(:) = 0
	866	j_smear(:) = 0
	867	k_hub(:) = 0
	868	k_smear(:) = 0
[1912]	869
[1819]	870	torque_total(:) = 0.0_wp
[1912]	871	thrust_rotor(:) = 0.0_wp
[1819]	872
[2563]	873	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	874	omega_gen(:) = 0.0_wp
	875	omega_gen_old(:) = 0.0_wp
	876	omega_gen_f(:) = 0.0_wp
	877	omega_gen_f_old(:) = 0.0_wp
	878	pitch_add_old(:) = 0.0_wp
	879	torque_gen(:) = 0.0_wp
	880	torque_gen_old(:) = 0.0_wp
	881	ENDIF
	882
[1819]	883	yawdir(:) = 0.0_wp
	884	wdir(:) = 0.0_wp
	885	u_inflow(:) = 0.0_wp
	886
	887	!
	888	!-- Allocate 1D arrays (dimension = number of rotor segments)
	889	alpha_attack(:) = 0.0_wp
	890	chord(:) = 0.0_wp
	891	phi_rel(:) = 0.0_wp
	892	thrust_seg(:) = 0.0_wp
	893	torque_seg_y(:) = 0.0_wp
	894	torque_seg_z(:) = 0.0_wp
[1864]	895	turb_cd(:) = 0.0_wp
	896	turb_cl(:) = 0.0_wp
[1819]	897	vrel(:) = 0.0_wp
	898	vtheta(:) = 0.0_wp
	899
	900	rbx(:,:) = 0.0_wp
	901	rby(:,:) = 0.0_wp
	902	rbz(:,:) = 0.0_wp
	903	thrust_ring(:,:) = 0.0_wp
	904	torque_ring_y(:,:) = 0.0_wp
	905	torque_ring_z(:,:) = 0.0_wp
	906
	907	rotx(:,:) = 0.0_wp
	908	roty(:,:) = 0.0_wp
	909	rotz(:,:) = 0.0_wp
	910
[1912]	911	nac_cd_surf(:,:,:) = 0.0_wp
	912	rot_tend_x(:,:,:) = 0.0_wp
	913	rot_tend_y(:,:,:) = 0.0_wp
	914	rot_tend_z(:,:,:) = 0.0_wp
[1819]	915	thrust(:,:,:) = 0.0_wp
	916	torque_y(:,:,:) = 0.0_wp
	917	torque_z(:,:,:) = 0.0_wp
[1912]	918	tow_cd_surf(:,:,:) = 0.0_wp
[1819]	919
	920	u_int(:,:,:) = 0.0_wp
	921	u_int_1_l(:,:,:) = 0.0_wp
	922	v_int(:,:,:) = 0.0_wp
	923	v_int_1_l(:,:,:) = 0.0_wp
	924	w_int(:,:,:) = 0.0_wp
	925	w_int_1_l(:,:,:) = 0.0_wp
	926
	927
[1839]	928	END SUBROUTINE wtm_init_arrays
[1819]	929
	930
	931	!------------------------------------------------------------------------------!
	932	! Description:
	933	! ------------
[1839]	934	!> Initialization of the wind turbine model
[1819]	935	!------------------------------------------------------------------------------!
[1839]	936	SUBROUTINE wtm_init
[1819]	937
[1839]	938
[1819]	939	IMPLICIT NONE
	940
	941	INTEGER(iwp) :: i !< running index
	942	INTEGER(iwp) :: j !< running index
	943	INTEGER(iwp) :: k !< running index
[1864]	944
[1819]	945	!
[1864]	946	!-- Help variables for the smearing function
	947	REAL(wp) :: eps_kernel !<
	948
[1839]	949	!
[1864]	950	!-- Help variables for calculation of the tower drag
	951	INTEGER(iwp) :: tower_n !<
	952	INTEGER(iwp) :: tower_s !<
[1839]	953	!
[1864]	954	!-- Help variables for the calulaction of the nacelle drag
	955	INTEGER(iwp) :: i_ip !<
	956	INTEGER(iwp) :: i_ipg !<
	957
	958	REAL(wp) :: yvalue
	959	REAL(wp) :: dy_int !<
	960	REAL(wp) :: dz_int !<
	961
	962	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: circle_points !<
	963
	964	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacb !<
	965	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacl !<
	966	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacr !<
	967	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nact !<
	968
	969	ALLOCATE( index_nacb(1:nturbines) )
	970	ALLOCATE( index_nacl(1:nturbines) )
	971	ALLOCATE( index_nacr(1:nturbines) )
	972	ALLOCATE( index_nact(1:nturbines) )
[1819]	973
[1839]	974	!
[1819]	975	!------------------------------------------------------------------------------!
[1839]	976	!-- Calculation of parameters for the regularization kernel
	977	!-- (smearing of the forces)
[1819]	978	!------------------------------------------------------------------------------!
	979	!
[1839]	980	!-- In the following, some of the required parameters for the smearing will
	981	!-- be calculated:
[1819]	982
[1839]	983	!-- The kernel is set equal to twice the grid spacing which has turned out to
	984	!-- be a reasonable value (see e.g. Troldborg et al. (2013), Wind Energy,
[1819]	985	!-- DOI: 10.1002/we.1608):
	986	eps_kernel = 2.0_wp * dx
	987	!
[1839]	988	!-- The zero point (eps_min) of the polynomial function must be the following
	989	!-- if the integral of the polynomial function (for values < eps_min) shall
	990	!-- be equal to the integral of the Gaussian function used before:
	991	eps_min = ( 105.0_wp / 32.0_wp )*( 1.0_wp / 3.0_wp ) &
	992	pi*( 1.0_wp / 6.0_wp ) eps_kernel
[1819]	993	!
	994	!-- Square of eps_min:
	995	eps_min2 = eps_min**2
	996	!
	997	!-- Parameters in the polynomial function:
[1864]	998	pol_a = 1.0_wp / eps_min**4
	999	pol_b = 2.0_wp / eps_min**2
[1819]	1000	!
[1839]	1001	!-- Normalization factor which is the inverse of the integral of the smearing
	1002	!-- function:
	1003	eps_factor = 105.0_wp / ( 32.0_wp * pi * eps_min**3 )
	1004
[1864]	1005	!-- Change tilt angle to rad:
	1006	tilt = tilt * pi / 180.0_wp
	1007
[1819]	1008	!
[1864]	1009	!-- Change yaw angle to rad:
[2563]	1010	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	1011	phi_yaw(:) = phi_yaw(:) * pi / 180.0_wp
	1012	ENDIF
[1819]	1013
[1864]	1014
[1819]	1015	DO inot = 1, nturbines
	1016	!
[1864]	1017	!-- Rotate the rotor coordinates in case yaw and tilt are defined
	1018	CALL wtm_rotate_rotor( inot )
[1819]	1019
	1020	!
	1021	!-- Determine the indices of the hub height
	1022	i_hub(inot) = INT( rcx(inot) / dx )
	1023	j_hub(inot) = INT( ( rcy(inot) + 0.5_wp * dy ) / dy )
	1024	k_hub(inot) = INT( ( rcz(inot) + 0.5_wp * dz ) / dz )
	1025
	1026	!
	1027	!-- Determining the area to which the smearing of the forces is applied.
[1839]	1028	!-- As smearing now is effectively applied only for distances smaller than
	1029	!-- eps_min, the smearing area can be further limited and regarded as a
	1030	!-- function of eps_min:
[1819]	1031	i_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dx )
	1032	j_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dy )
	1033	k_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dz )
[1864]	1034
[1819]	1035	ENDDO
	1036
	1037	!
[2792]	1038	!-- Call the wtm_init_speed_control subroutine and calculate the local
	1039	!-- omega_rot for the respective processor.
	1040	IF ( speed_control) THEN
	1041
	1042	CALL wtm_speed_control
	1043
	1044	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
	1045
	1046	DO inot = 1, nturbines
	1047
	1048	IF ( nxl > i_hub(inot) ) THEN
	1049	torque_gen(inot) = 0.0_wp
	1050	omega_gen_f(inot) = 0.0_wp
	1051	omega_rot_l(inot) = 0.0_wp
	1052	ENDIF
	1053
	1054	IF ( nxr < i_hub(inot) ) THEN
	1055	torque_gen(inot) = 0.0_wp
	1056	omega_gen_f(inot) = 0.0_wp
	1057	omega_rot_l(inot) = 0.0_wp
	1058	ENDIF
	1059
	1060	IF ( nys > j_hub(inot) ) THEN
	1061	torque_gen(inot) = 0.0_wp
	1062	omega_gen_f(inot) = 0.0_wp
	1063	omega_rot_l(inot) = 0.0_wp
	1064	ENDIF
	1065
	1066	IF ( nyn < j_hub(inot) ) THEN
	1067	torque_gen(inot) = 0.0_wp
	1068	omega_gen_f(inot) = 0.0_wp
	1069	omega_rot_l(inot) = 0.0_wp
	1070	ENDIF
	1071
	1072	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) THEN
	1073	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) ) THEN
	1074
	1075	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
	1076
	1077	ENDIF
	1078	ENDIF
	1079
	1080	END DO
	1081
	1082	ENDIF
	1083
	1084	ENDIF
	1085
	1086	!
[1819]	1087	!------------------------------------------------------------------------------!
[1839]	1088	!-- Determine the area within each grid cell that overlaps with the area
	1089	!-- of the nacelle and the tower (needed for calculation of the forces)
[1819]	1090	!------------------------------------------------------------------------------!
	1091	!
	1092	!-- Note: so far this is only a 2D version, in that the mean flow is
	1093	!-- perpendicular to the rotor area.
	1094
	1095	!
	1096	!-- Allocation of the array containing information on the intersection points
	1097	!-- between rotor disk and the numerical grid:
	1098	upper_end = ( ny + 1 ) * 10000
	1099
	1100	ALLOCATE( circle_points(1:2,1:upper_end) )
[1839]	1101
	1102	circle_points(:,:) = 0.0_wp
[1819]	1103
[1839]	1104
	1105	DO inot = 1, nturbines ! loop over number of turbines
[1819]	1106	!
[1839]	1107	!-- Determine the grid index (u-grid) that corresponds to the location of
	1108	!-- the rotor center (reduces the amount of calculations in the case that
	1109	!-- the mean flow is perpendicular to the rotor area):
[1819]	1110	i = i_hub(inot)
	1111
	1112	!
[1839]	1113	!-- Determine the left and the right edge of the nacelle (corresponding
	1114	!-- grid point indices):
[1819]	1115	index_nacl(inot) = INT( ( rcy(inot) - rnac(inot) + 0.5_wp * dy ) / dy )
	1116	index_nacr(inot) = INT( ( rcy(inot) + rnac(inot) + 0.5_wp * dy ) / dy )
	1117	!
[1839]	1118	!-- Determine the bottom and the top edge of the nacelle (corresponding
	1119	!-- grid point indices).The grid point index has to be increased by 1, as
	1120	!-- the first level for the u-component (index 0) is situated below the
	1121	!-- surface. All points between z=0 and z=dz/s would already be contained
	1122	!-- in grid box 1.
[1819]	1123	index_nacb(inot) = INT( ( rcz(inot) - rnac(inot) ) / dz ) + 1
	1124	index_nact(inot) = INT( ( rcz(inot) + rnac(inot) ) / dz ) + 1
	1125
	1126	!
	1127	!-- Determine the indices of the grid boxes containing the left and
[1864]	1128	!-- the right boundaries of the tower:
[1819]	1129	tower_n = ( rcy(inot) + 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	1130	tower_s = ( rcy(inot) - 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	1131
	1132	!
	1133	!-- Determine the fraction of the grid box area overlapping with the tower
[1864]	1134	!-- area and multiply it with the drag of the tower:
[1839]	1135	IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1819]	1136
	1137	DO j = nys, nyn
	1138	!
[1839]	1139	!-- Loop from south to north boundary of tower
	1140	IF ( ( j >= tower_s ) .AND. ( j <= tower_n ) ) THEN
	1141
[1819]	1142	DO k = nzb, nzt
	1143
	1144	IF ( k == k_hub(inot) ) THEN
	1145	IF ( tower_n - tower_s >= 1 ) THEN
[1839]	1146	!
[1819]	1147	!-- leftmost and rightmost grid box:
	1148	IF ( j == tower_s ) THEN
[1912]	1149	tow_cd_surf(k,j,i) = ( rcz(inot) - &
	1150	( k_hub(inot) * dz - 0.5_wp * dz ) ) * & ! extension in z-direction
	1151	( ( tower_s + 1.0_wp + 0.5_wp ) * dy - &
	1152	( rcy(inot) - 0.5_wp * dtow(inot) ) ) * & ! extension in y-direction
	1153	turb_cd_tower(inot)
[1819]	1154	ELSEIF ( j == tower_n ) THEN
[1912]	1155	tow_cd_surf(k,j,i) = ( rcz(inot) - &
	1156	( k_hub(inot) * dz - 0.5_wp * dz ) ) * & ! extension in z-direction
	1157	( ( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	1158	( tower_n + 0.5_wp ) * dy ) * & ! extension in y-direction
	1159	turb_cd_tower(inot)
[1819]	1160	!
	1161	!-- grid boxes inbetween
[1912]	1162	!-- (where tow_cd_surf = grid box area):
[1819]	1163	ELSE
[1912]	1164	tow_cd_surf(k,j,i) = ( rcz(inot) - &
	1165	( k_hub(inot) * dz - 0.5_wp * dz ) ) * &
	1166	dy * turb_cd_tower(inot)
[1819]	1167	ENDIF
	1168	!
	1169	!-- tower lies completely within one grid box:
	1170	ELSE
[1912]	1171	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[1839]	1172	( k_hub(inot) * dz - 0.5_wp * dz ) ) * &
[1912]	1173	dtow(inot) * turb_cd_tower(inot)
[1819]	1174	ENDIF
[1839]	1175	!
	1176	!-- In case that k is smaller than k_hub the following actions
	1177	!-- are carried out:
[1819]	1178	ELSEIF ( k < k_hub(inot) ) THEN
	1179
[1839]	1180	IF ( ( tower_n - tower_s ) >= 1 ) THEN
	1181	!
[1819]	1182	!-- leftmost and rightmost grid box:
	1183	IF ( j == tower_s ) THEN
[1912]	1184	tow_cd_surf(k,j,i) = dz * ( &
[1839]	1185	( tower_s + 1 + 0.5_wp ) * dy - &
	1186	( rcy(inot) - 0.5_wp * dtow(inot) ) &
[1912]	1187	) * turb_cd_tower(inot)
[1819]	1188	ELSEIF ( j == tower_n ) THEN
[1912]	1189	tow_cd_surf(k,j,i) = dz * ( &
[1839]	1190	( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	1191	( tower_n + 0.5_wp ) * dy &
[1912]	1192	) * turb_cd_tower(inot)
[1839]	1193	!
	1194	!-- grid boxes inbetween
[1912]	1195	!-- (where tow_cd_surf = grid box area):
[1819]	1196	ELSE
[1912]	1197	tow_cd_surf(k,j,i) = dz * dy * turb_cd_tower(inot)
[1819]	1198	ENDIF
[1839]	1199	!
[1819]	1200	!-- tower lies completely within one grid box:
	1201	ELSE
[1912]	1202	tow_cd_surf(k,j,i) = dz * dtow(inot) * &
	1203	turb_cd_tower(inot)
[1839]	1204	ENDIF ! end if larger than grid box
	1205
	1206	ENDIF ! end if k == k_hub
	1207
	1208	ENDDO ! end loop over k
	1209
	1210	ENDIF ! end if inside north and south boundary of tower
	1211
	1212	ENDDO ! end loop over j
	1213
	1214	ENDIF ! end if hub inside domain + ghostpoints
[1819]	1215
[1839]	1216
[1912]	1217	CALL exchange_horiz( tow_cd_surf, nbgp )
[1819]	1218
[1839]	1219	!
[1864]	1220	!-- Calculation of the nacelle area
	1221	!-- CAUTION: Currently disabled due to segmentation faults on the FLOW HPC
	1222	!-- cluster (Oldenburg)
	1223	!!
	1224	!!-- Tabulate the points on the circle that are required in the following for
	1225	!!-- the calculation of the Riemann integral (node points; they are called
	1226	!!-- circle_points in the following):
	1227	!
	1228	! dy_int = dy / 10000.0_wp
	1229	!
	1230	! DO i_ip = 1, upper_end
	1231	! yvalue = dy_int * ( i_ip - 0.5_wp ) + 0.5_wp * dy !<--- segmentation fault
	1232	! sqrt_arg = rnac(inot)2 - ( yvalue - rcy(inot) )2 !<--- segmentation fault
	1233	! IF ( sqrt_arg >= 0.0_wp ) THEN
	1234	!!
	1235	!!-- bottom intersection point
	1236	! circle_points(1,i_ip) = rcz(inot) - SQRT( sqrt_arg )
	1237	!!
	1238	!!-- top intersection point
	1239	! circle_points(2,i_ip) = rcz(inot) + SQRT( sqrt_arg ) !<--- segmentation fault
	1240	! ELSE
	1241	! circle_points(:,i_ip) = -111111 !<--- segmentation fault
	1242	! ENDIF
	1243	! ENDDO
	1244	!
	1245	!
	1246	! DO j = nys, nyn
	1247	!!
	1248	!!-- In case that the grid box is located completely outside the nacelle
	1249	!!-- (y) it can automatically be stated that there is no overlap between
	1250	!!-- the grid box and the nacelle and consequently we can set
[1912]	1251	!!-- nac_cd_surf(:,j,i) = 0.0:
[1864]	1252	! IF ( ( j >= index_nacl(inot) ) .AND. ( j <= index_nacr(inot) ) ) THEN
	1253	! DO k = nzb+1, nzt
	1254	!!
	1255	!!-- In case that the grid box is located completely outside the
	1256	!!-- nacelle (z) it can automatically be stated that there is no
	1257	!!-- overlap between the grid box and the nacelle and consequently
[1912]	1258	!!-- we can set nac_cd_surf(k,j,i) = 0.0:
[1864]	1259	! IF ( ( k >= index_nacb(inot) ) .OR. &
	1260	! ( k <= index_nact(inot) ) ) THEN
	1261	!!
	1262	!!-- For all other cases Riemann integrals are calculated.
	1263	!!-- Here, the points on the circle that have been determined
	1264	!!-- above are used in order to calculate the overlap between the
	1265	!!-- gridbox and the nacelle area (area approached by 10000
	1266	!!-- rectangulars dz_int * dy_int):
	1267	! DO i_ipg = 1, 10000
	1268	! dz_int = dz
	1269	! i_ip = j * 10000 + i_ipg
	1270	!!
	1271	!!-- Determine the vertical extension dz_int of the circle
	1272	!!-- within the current grid box:
	1273	! IF ( ( circle_points(2,i_ip) < zw(k) ) .AND. & !<--- segmentation fault
	1274	! ( circle_points(2,i_ip) >= zw(k-1) ) ) THEN
	1275	! dz_int = dz_int - & !<--- segmentation fault
	1276	! ( zw(k) - circle_points(2,i_ip) )
	1277	! ENDIF
	1278	! IF ( ( circle_points(1,i_ip) <= zw(k) ) .AND. & !<--- segmentation fault
	1279	! ( circle_points(1,i_ip) > zw(k-1) ) ) THEN
	1280	! dz_int = dz_int - &
	1281	! ( circle_points(1,i_ip) - zw(k-1) )
	1282	! ENDIF
	1283	! IF ( zw(k-1) > circle_points(2,i_ip) ) THEN
	1284	! dz_int = 0.0_wp
	1285	! ENDIF
	1286	! IF ( zw(k) < circle_points(1,i_ip) ) THEN
	1287	! dz_int = 0.0_wp
	1288	! ENDIF
	1289	! IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1912]	1290	! nac_cd_surf(k,j,i) = nac_cd_surf(k,j,i) + & !<--- segmentation fault
	1291	! dy_int * dz_int * turb_cd_nacelle(inot)
[1864]	1292	! ENDIF
	1293	! ENDDO
	1294	! ENDIF
	1295	! ENDDO
	1296	! ENDIF
[1819]	1297	!
[1864]	1298	! ENDDO
[1819]	1299	!
[1912]	1300	! CALL exchange_horiz( nac_cd_surf, nbgp ) !<--- segmentation fault
[1819]	1301
[1864]	1302	ENDDO ! end of loop over turbines
[1819]	1303
[1912]	1304	tow_cd_surf = tow_cd_surf / ( dx * dy * dz ) ! Normalize tower drag
	1305	nac_cd_surf = nac_cd_surf / ( dx * dy * dz ) ! Normalize nacelle drag
[1819]	1306
[1912]	1307	CALL wtm_read_blade_tables
[1839]	1308
[1864]	1309	END SUBROUTINE wtm_init
	1310
	1311
[1819]	1312	!------------------------------------------------------------------------------!
[1864]	1313	! Description:
	1314	! ------------
	1315	!> Read in layout of the rotor blade , the lift and drag tables
	1316	!> and the distribution of lift and drag tables along the blade
[1819]	1317	!------------------------------------------------------------------------------!
[1912]	1318	!
	1319	SUBROUTINE wtm_read_blade_tables
[1819]	1320
[1839]	1321
[1864]	1322	IMPLICIT NONE
	1323
	1324	INTEGER(iwp) :: ii !< running index
	1325	INTEGER(iwp) :: jj !< running index
[1843]	1326
[1864]	1327	INTEGER(iwp) :: ierrn !<
	1328
	1329	CHARACTER(200) :: chmess !< Read in string
[1839]	1330
[1864]	1331	INTEGER(iwp) :: dlen !< no. rows of local table
	1332	INTEGER(iwp) :: dlenbl !< no. rows of cd, cl table
	1333	INTEGER(iwp) :: ialpha !< table position of current alpha value
	1334	INTEGER(iwp) :: iialpha !<
	1335	INTEGER(iwp) :: iir !<
	1336	INTEGER(iwp) :: radres !< radial resolution
	1337	INTEGER(iwp) :: t1 !< no. of airfoil
	1338	INTEGER(iwp) :: t2 !< no. of airfoil
	1339	INTEGER(iwp) :: trow !<
	1340	INTEGER(iwp) :: dlenbl_int !< no. rows of interpolated cd, cl tables
[1839]	1341
[1864]	1342	REAL(wp) :: alpha_attack_i !<
	1343	REAL(wp) :: weight_a !<
	1344	REAL(wp) :: weight_b !<
[1839]	1345
[1864]	1346	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint1 !<
	1347	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint2 !<
[1839]	1348
[1864]	1349	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel1 !<
	1350	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel2 !<
	1351	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel1 !<
	1352	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel2 !<
	1353	REAL(wp), DIMENSION(:), ALLOCATABLE :: read_cl_cd !< read in var array
[1839]	1354
[1864]	1355	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack_tab !<
	1356	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad1 !<
	1357	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad2 !<
	1358	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_table !<
	1359	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_table !<
[1839]	1360
[1864]	1361	ALLOCATE ( read_cl_cd(1:2*nairfoils+1) )
[1839]	1362
[1864]	1363	!
	1364	!-- Read in the distribution of lift and drag tables along the blade, the
	1365	!-- layout of the rotor blade and the lift and drag tables:
	1366
[2323]	1367	OPEN ( 90, FILE='WTM_DATA', STATUS='OLD', FORM='FORMATTED', IOSTAT=ierrn )
[1864]	1368
	1369	IF ( ierrn /= 0 ) THEN
	1370	message_string = 'file WTM_DATA does not exist'
[2322]	1371	CALL message( 'wtm_init', 'PA0464', 1, 2, 0, 6, 0 )
[1864]	1372	ENDIF
	1373	!
	1374	!-- Read distribution table:
	1375
	1376	dlen = 0
	1377
[2323]	1378	READ ( 90, '(3/)' )
[1864]	1379
	1380	rloop3: DO
[2323]	1381	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1382	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop3
	1383	dlen = dlen + 1
	1384	ENDDO rloop3
	1385
	1386	ALLOCATE( trad1(1:dlen), trad2(1:dlen), ttoint1(1:dlen), ttoint2(1:dlen))
	1387
	1388	DO jj = 1,dlen+1
[2323]	1389	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1390	ENDDO
	1391
	1392	DO jj = 1,dlen
[2323]	1393	READ ( 90, * ) trad1(jj), trad2(jj), ttoint1(jj), ttoint2(jj)
[1864]	1394	ENDDO
	1395
	1396	!
	1397	!-- Read layout table:
	1398
[1839]	1399	dlen = 0
[1864]	1400
[2323]	1401	READ ( 90, '(3/)')
[1864]	1402
[1843]	1403	rloop1: DO
[2323]	1404	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1405	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop1
	1406	dlen = dlen + 1
[1843]	1407	ENDDO rloop1
[1864]	1408
[1839]	1409	ALLOCATE( lrd(1:dlen), ard(1:dlen), crd(1:dlen) )
[1864]	1410	DO jj = 1, dlen+1
[2323]	1411	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1412	ENDDO
	1413	DO jj = 1, dlen
[2323]	1414	READ ( 90, * ) lrd(jj), ard(jj), crd(jj)
[1839]	1415	ENDDO
[1819]	1416
[1864]	1417	!
	1418	!-- Read tables (turb_cl(alpha),turb_cd(alpha) for the different profiles:
[1819]	1419
[1864]	1420	dlen = 0
	1421
[2323]	1422	READ ( 90, '(3/)' )
[1864]	1423
[1843]	1424	rloop2: DO
[2323]	1425	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1426	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop2
	1427	dlen = dlen + 1
	1428	ENDDO rloop2
	1429
[1912]	1430	ALLOCATE( alpha_attack_tab(1:dlen), turb_cl_table(1:dlen,1:nairfoils), &
[1864]	1431	turb_cd_table(1:dlen,1:nairfoils) )
	1432
	1433	DO jj = 1,dlen+1
[2323]	1434	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1435	ENDDO
	1436
[1839]	1437	DO jj = 1,dlen
[2323]	1438	READ ( 90, * ) read_cl_cd
[1864]	1439	alpha_attack_tab(jj) = read_cl_cd(1)
	1440	DO ii= 1, nairfoils
	1441	turb_cl_table(jj,ii) = read_cl_cd(ii*2)
	1442	turb_cd_table(jj,ii) = read_cl_cd(ii*2+1)
[1819]	1443	ENDDO
[1864]	1444
[1839]	1445	ENDDO
[1864]	1446
	1447	dlenbl = dlen
	1448
[2323]	1449	CLOSE ( 90 )
[1819]	1450
[1864]	1451	!
[2836]	1452	!-- For each possible radial position (resolution: 0.1 m --> 631 values if rr(1)=63m)
	1453	!-- and each possible angle of attack (resolution: 0.1 degrees --> 3601 values!)
[1864]	1454	!-- determine the lift and drag coefficient by interpolating between the
	1455	!-- tabulated values of each table (interpolate to current angle of attack)
	1456	!-- and between the tables (interpolate to current radial position):
[1839]	1457
[2836]	1458	ALLOCATE( turb_cl_sel1(1:dlenbl) )
	1459	ALLOCATE( turb_cl_sel2(1:dlenbl) )
	1460	ALLOCATE( turb_cd_sel1(1:dlenbl) )
	1461	ALLOCATE( turb_cd_sel2(1:dlenbl) )
[1819]	1462
[1864]	1463	radres = INT( rr(1) * 10.0_wp ) + 1_iwp
	1464	dlenbl_int = INT( 360.0_wp / accu_cl_cd_tab ) + 1_iwp
[1839]	1465
[2836]	1466	ALLOCATE( turb_cl_tab(1:dlenbl_int,1:radres) )
	1467	ALLOCATE( turb_cd_tab(1:dlenbl_int,1:radres) )
[1864]	1468
[2836]	1469	DO iir = 1, radres ! loop over radius
[1864]	1470
[2836]	1471	cur_r = ( iir - 1_iwp ) * 0.1_wp
	1472	!
	1473	!-- Find position in table 1
	1474	lct = MINLOC( ABS( trad1 - cur_r ) )
	1475	! lct(1) = lct(1)
[1864]	1476
[2836]	1477	IF ( ( trad1(lct(1)) - cur_r ) .GT. 0.0 ) THEN
	1478	lct(1) = lct(1) - 1
	1479	ENDIF
[1864]	1480
[2836]	1481	trow = lct(1)
	1482	!
	1483	!-- Calculate weights for radius interpolation
	1484	weight_a = ( trad2(trow) - cur_r ) / ( trad2(trow) - trad1(trow) )
	1485	weight_b = ( cur_r - trad1(trow) ) / ( trad2(trow) - trad1(trow) )
	1486	t1 = ttoint1(trow)
	1487	t2 = ttoint2(trow)
[1864]	1488
[2836]	1489	IF ( t1 .EQ. t2 ) THEN ! if both are the same, the weights are NaN
	1490	weight_a = 0.5_wp ! then do interpolate in between same twice
	1491	weight_b = 0.5_wp ! using 0.5 as weight
	1492	ENDIF
	1493
	1494	IF ( t1 == 0 .AND. t2 == 0 ) THEN
	1495	turb_cd_sel1 = 0.0_wp
	1496	turb_cd_sel2 = 0.0_wp
	1497	turb_cl_sel1 = 0.0_wp
	1498	turb_cl_sel2 = 0.0_wp
	1499
	1500	turb_cd_tab(1,iir) = 0.0_wp ! For -180Â° (iialpha=1) the values
	1501	turb_cl_tab(1,iir) = 0.0_wp ! for each radius has to be set
	1502	! explicitly
	1503	ELSE
	1504	turb_cd_sel1 = turb_cd_table(:,t1)
	1505	turb_cd_sel2 = turb_cd_table(:,t2)
	1506	turb_cl_sel1 = turb_cl_table(:,t1)
	1507	turb_cl_sel2 = turb_cl_table(:,t2)
	1508	!
	1509	!-- For -180Â° (iialpha=1) the values for each radius has to be set
	1510	!-- explicitly
	1511	turb_cd_tab(1,iir) = ( weight_a * turb_cd_table(1,t1) + weight_b &
	1512	* turb_cd_table(1,t2) )
	1513	turb_cl_tab(1,iir) = ( weight_a * turb_cl_table(1,t1) + weight_b &
	1514	* turb_cl_table(1,t2) )
	1515	ENDIF
	1516
	1517	DO iialpha = 2, dlenbl_int ! loop over angles
	1518
[1864]	1519	alpha_attack_i = -180.0_wp + REAL( iialpha-1 ) * accu_cl_cd_tab
	1520	ialpha = 1
[2836]	1521
[2152]	1522	DO WHILE ( ( alpha_attack_i > alpha_attack_tab(ialpha) ) .AND. (ialpha <= dlen ) )
[1864]	1523	ialpha = ialpha + 1
	1524	ENDDO
[1819]	1525
[1864]	1526	!
[1912]	1527	!-- Interpolation of lift and drag coefficiencts on fine grid of radius
	1528	!-- segments and angles of attack
	1529	turb_cl_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1530	alpha_attack_i ) / &
[1864]	1531	( alpha_attack_tab(ialpha) - &
	1532	alpha_attack_tab(ialpha-1) ) * &
	1533	( weight_a * turb_cl_sel1(ialpha-1) + &
	1534	weight_b * turb_cl_sel2(ialpha-1) ) +&
	1535	( alpha_attack_i - &
	1536	alpha_attack_tab(ialpha-1) ) / &
	1537	( alpha_attack_tab(ialpha) - &
	1538	alpha_attack_tab(ialpha-1) ) * &
	1539	( weight_a * turb_cl_sel1(ialpha) + &
	1540	weight_b * turb_cl_sel2(ialpha) )
[1912]	1541	turb_cd_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1542	alpha_attack_i ) / &
[1864]	1543	( alpha_attack_tab(ialpha) - &
	1544	alpha_attack_tab(ialpha-1) ) * &
	1545	( weight_a * turb_cd_sel1(ialpha-1) + &
	1546	weight_b * turb_cd_sel2(ialpha-1) ) +&
	1547	( alpha_attack_i - &
	1548	alpha_attack_tab(ialpha-1) ) / &
	1549	( alpha_attack_tab(ialpha) - &
	1550	alpha_attack_tab(ialpha-1) ) * &
	1551	( weight_a * turb_cd_sel1(ialpha) + &
	1552	weight_b * turb_cd_sel2(ialpha) )
[2836]	1553
[1912]	1554	ENDDO ! end loop over angles of attack
[2836]	1555
	1556	ENDDO ! end loop over radius
[1819]	1557
[2836]	1558
[1912]	1559	END SUBROUTINE wtm_read_blade_tables
[1819]	1560
	1561
[1864]	1562	!------------------------------------------------------------------------------!
	1563	! Description:
	1564	! ------------
	1565	!> The projection matrix for the coordinate system of therotor disc in respect
	1566	!> to the yaw and tilt angle of the rotor is calculated
	1567	!------------------------------------------------------------------------------!
	1568	SUBROUTINE wtm_rotate_rotor( inot )
[1819]	1569
[1864]	1570
	1571	IMPLICIT NONE
	1572
	1573	INTEGER(iwp) :: inot
	1574	!
	1575	!-- Calculation of the rotation matrix for the application of the tilt to
	1576	!-- the rotors
	1577	rot_eigen_rad(1) = SIN( phi_yaw(inot) ) ! x-component of the radial eigenvector
	1578	rot_eigen_rad(2) = COS( phi_yaw(inot) ) ! y-component of the radial eigenvector
	1579	rot_eigen_rad(3) = 0.0_wp ! z-component of the radial eigenvector
	1580
	1581	rot_eigen_azi(1) = 0.0_wp ! x-component of the azimuth eigenvector
	1582	rot_eigen_azi(2) = 0.0_wp ! y-component of the azimuth eigenvector
	1583	rot_eigen_azi(3) = 1.0_wp ! z-component of the azimuth eigenvector
	1584
	1585	rot_eigen_nor(1) = COS( phi_yaw(inot) ) ! x-component of the normal eigenvector
	1586	rot_eigen_nor(2) = -SIN( phi_yaw(inot) ) ! y-component of the normal eigenvector
	1587	rot_eigen_nor(3) = 0.0_wp ! z-component of the normal eigenvector
[1839]	1588
[1864]	1589	!
	1590	!-- Calculation of the coordinate transformation matrix to apply a tilt to
	1591	!-- the rotor. If tilt = 0, rot_coord_trans is a unit matrix.
[1819]	1592
[1912]	1593	rot_coord_trans(inot,1,1) = rot_eigen_rad(1)*2 &
[1864]	1594	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1595	rot_coord_trans(inot,1,2) = rot_eigen_rad(1) * rot_eigen_rad(2) * &
	1596	( 1.0_wp - COS( tilt ) ) - &
[1864]	1597	rot_eigen_rad(3) * SIN( tilt )
[1912]	1598	rot_coord_trans(inot,1,3) = rot_eigen_rad(1) * rot_eigen_rad(3) * &
	1599	( 1.0_wp - COS( tilt ) ) + &
[1864]	1600	rot_eigen_rad(2) * SIN( tilt )
[1912]	1601	rot_coord_trans(inot,2,1) = rot_eigen_rad(2) * rot_eigen_rad(1) * &
	1602	( 1.0_wp - COS( tilt ) ) + &
[1864]	1603	rot_eigen_rad(3) * SIN( tilt )
[1912]	1604	rot_coord_trans(inot,2,2) = rot_eigen_rad(2)*2 &
[1864]	1605	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1606	rot_coord_trans(inot,2,3) = rot_eigen_rad(2) * rot_eigen_rad(3) * &
	1607	( 1.0_wp - COS( tilt ) ) - &
[1864]	1608	rot_eigen_rad(1) * SIN( tilt )
[1912]	1609	rot_coord_trans(inot,3,1) = rot_eigen_rad(3) * rot_eigen_rad(1) * &
	1610	( 1.0_wp - COS( tilt ) ) - &
[1864]	1611	rot_eigen_rad(2) * SIN( tilt )
[1912]	1612	rot_coord_trans(inot,3,2) = rot_eigen_rad(3) * rot_eigen_rad(2) * &
	1613	( 1.0_wp - COS( tilt ) ) + &
[1864]	1614	rot_eigen_rad(1) * SIN( tilt )
[1912]	1615	rot_coord_trans(inot,3,3) = rot_eigen_rad(3)*2 &
[1864]	1616	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1839]	1617
[1864]	1618	!
	1619	!-- Vectors for the Transformation of forces from the rotor's spheric
	1620	!-- coordinate system to the cartesian coordinate system
	1621	rotx(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_nor )
	1622	roty(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_rad )
	1623	rotz(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_azi )
	1624
	1625	END SUBROUTINE wtm_rotate_rotor
[1839]	1626
	1627
[1819]	1628	!------------------------------------------------------------------------------!
	1629	! Description:
	1630	! ------------
[1839]	1631	!> Calculation of the forces generated by the wind turbine
[1819]	1632	!------------------------------------------------------------------------------!
	1633	SUBROUTINE wtm_forces
	1634
[1864]	1635
[1819]	1636	IMPLICIT NONE
	1637
[2669]	1638	CHARACTER (LEN=4) :: turbine_id
[1819]	1639
[1839]	1640	INTEGER(iwp) :: i, j, k !< loop indices
	1641	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	1642	INTEGER(iwp) :: iialpha, iir !<
	1643	INTEGER(iwp) :: rseg, rseg_int !<
	1644	INTEGER(iwp) :: ring, ring_int !<
	1645	INTEGER(iwp) :: ii, jj, kk !<
[1912]	1646
[2232]	1647	REAL(wp) :: flag !< flag to mask topography grid points
[1839]	1648	REAL(wp) :: sin_rot, cos_rot !<
	1649	REAL(wp) :: sin_yaw, cos_yaw !<
[1912]	1650
	1651	REAL(wp) :: aa, bb, cc, dd !< interpolation distances
	1652	REAL(wp) :: gg !< interpolation volume var
	1653
	1654	REAL(wp) :: dist_u_3d, dist_v_3d, dist_w_3d !< smearing distances
	1655
	1656
[1839]	1657	!
[1819]	1658	! Variables for pitch control
	1659	REAL(wp) :: torque_max=0.0_wp
[1839]	1660	LOGICAL :: pitch_sw=.FALSE.
	1661
[1819]	1662	INTEGER(iwp), DIMENSION(1) :: lct=0
[1839]	1663	REAL(wp), DIMENSION(1) :: rad_d=0.0_wp
[2152]	1664
	1665	REAL(wp) :: tl_factor !< factor for tip loss correction
[1819]	1666
	1667
[1864]	1668	CALL cpu_log( log_point_s(61), 'wtm_forces', 'start' )
[1819]	1669
	1670
	1671	IF ( simulated_time >= time_turbine_on ) THEN
	1672
[1864]	1673	!
[1819]	1674	!-- Set forces to zero for each new time step:
	1675	thrust(:,:,:) = 0.0_wp
	1676	torque_y(:,:,:) = 0.0_wp
	1677	torque_z(:,:,:) = 0.0_wp
	1678	torque_total(:) = 0.0_wp
[1912]	1679	rot_tend_x(:,:,:) = 0.0_wp
	1680	rot_tend_y(:,:,:) = 0.0_wp
	1681	rot_tend_z(:,:,:) = 0.0_wp
	1682	thrust_rotor(:) = 0.0_wp
[1819]	1683	!
	1684	!-- Loop over number of turbines:
	1685	DO inot = 1, nturbines
	1686
	1687	cos_yaw = COS(phi_yaw(inot))
	1688	sin_yaw = SIN(phi_yaw(inot))
	1689	!
[1839]	1690	!-- Loop over rings of each turbine:
[1819]	1691	DO ring = 1, nrings(inot)
	1692
	1693	thrust_seg(:) = 0.0_wp
	1694	torque_seg_y(:) = 0.0_wp
	1695	torque_seg_z(:) = 0.0_wp
	1696	!
	1697	!-- Determine distance between each ring (center) and the hub:
	1698	cur_r = (ring - 0.5_wp) * delta_r(inot)
	1699
	1700	!
[1839]	1701	!-- Loop over segments of each ring of each turbine:
[1819]	1702	DO rseg = 1, nsegs(ring,inot)
	1703	!
[1864]	1704	!-- !-----------------------------------------------------------!
	1705	!-- !-- Determine coordinates of the ring segments --!
	1706	!-- !-----------------------------------------------------------!
[1819]	1707	!
[1864]	1708	!-- Determine angle of ring segment towards zero degree angle of
	1709	!-- rotor system (at zero degree rotor direction vectors aligned
	1710	!-- with y-axis):
[1819]	1711	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1712	cos_rot = COS( phi_rotor )
	1713	sin_rot = SIN( phi_rotor )
	1714
[1864]	1715	!-- Now the direction vectors can be determined with respect to
	1716	!-- the yaw and tilt angle:
[1819]	1717	re(1) = cos_rot * sin_yaw
[1839]	1718	re(2) = cos_rot * cos_yaw
[1819]	1719	re(3) = sin_rot
	1720
	1721	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1722	!
	1723	!-- Coordinates of the single segments (center points):
	1724	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	1725	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	1726	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	1727
[1864]	1728	!-- !-----------------------------------------------------------!
	1729	!-- !-- Interpolation of the velocity components from the --!
	1730	!-- !-- cartesian grid point to the coordinates of each ring --!
	1731	!-- !-- segment (follows a method used in the particle model) --!
	1732	!-- !-----------------------------------------------------------!
[1819]	1733
	1734	u_int(inot,ring,rseg) = 0.0_wp
	1735	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1736
	1737	v_int(inot,ring,rseg) = 0.0_wp
	1738	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1739
	1740	w_int(inot,ring,rseg) = 0.0_wp
	1741	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1742
	1743	!
	1744	!-- Interpolation of the u-component:
	1745
	1746	ii = rbx(ring,rseg) * ddx
	1747	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[2553]	1748	kk = ( rbz(ring,rseg) + 0.5_wp * dz ) / dz
[1819]	1749	!
[1864]	1750	!-- Interpolate only if all required information is available on
	1751	!-- the current PE:
[1839]	1752	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1753	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1754
[1839]	1755	aa = ( ( ii + 1 ) * dx - rbx(ring,rseg) ) * &
	1756	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1757	bb = ( rbx(ring,rseg) - ii * dx ) * &
	1758	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1759	cc = ( ( ii+1 ) * dx - rbx(ring,rseg) ) * &
	1760	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1761	dd = ( rbx(ring,rseg) - ii * dx ) * &
	1762	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1763	gg = dx * dy
	1764
[1864]	1765	u_int_l = ( aa * u(kk,jj,ii) + &
	1766	bb * u(kk,jj,ii+1) + &
	1767	cc * u(kk,jj+1,ii) + &
	1768	dd * u(kk,jj+1,ii+1) &
[1819]	1769	) / gg
	1770
[1864]	1771	u_int_u = ( aa * u(kk+1,jj,ii) + &
	1772	bb * u(kk+1,jj,ii+1) + &
	1773	cc * u(kk+1,jj+1,ii) + &
	1774	dd * u(kk+1,jj+1,ii+1) &
[1819]	1775	) / gg
	1776
[1864]	1777	u_int_1_l(inot,ring,rseg) = u_int_l + &
	1778	( rbz(ring,rseg) - zu(kk) ) / dz * &
[1819]	1779	( u_int_u - u_int_l )
	1780
	1781	ELSE
	1782	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1783	ENDIF
	1784	ELSE
	1785	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1786	ENDIF
	1787
	1788
	1789	!
	1790	!-- Interpolation of the v-component:
	1791	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
[1839]	1792	jj = rby(ring,rseg) * ddy
[1819]	1793	kk = ( rbz(ring,rseg) + 0.5_wp * dz ) / dz
	1794	!
[1864]	1795	!-- Interpolate only if all required information is available on
	1796	!-- the current PE:
[1839]	1797	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1798	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1799
[1839]	1800	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1801	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1802	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1803	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1804	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1805	( rby(ring,rseg) - jj * dy )
	1806	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1807	( rby(ring,rseg) - jj * dy )
[1819]	1808	gg = dx * dy
	1809
[1864]	1810	v_int_l = ( aa * v(kk,jj,ii) + &
	1811	bb * v(kk,jj,ii+1) + &
	1812	cc * v(kk,jj+1,ii) + &
	1813	dd * v(kk,jj+1,ii+1) &
[1819]	1814	) / gg
	1815
[1864]	1816	v_int_u = ( aa * v(kk+1,jj,ii) + &
	1817	bb * v(kk+1,jj,ii+1) + &
	1818	cc * v(kk+1,jj+1,ii) + &
	1819	dd * v(kk+1,jj+1,ii+1) &
[1819]	1820	) / gg
	1821
[1864]	1822	v_int_1_l(inot,ring,rseg) = v_int_l + &
	1823	( rbz(ring,rseg) - zu(kk) ) / dz * &
[1819]	1824	( v_int_u - v_int_l )
	1825
	1826	ELSE
	1827	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1828	ENDIF
	1829	ELSE
	1830	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1831	ENDIF
	1832
	1833
	1834	!
	1835	!-- Interpolation of the w-component:
	1836	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
	1837	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[1839]	1838	kk = rbz(ring,rseg) / dz
[1819]	1839	!
[1864]	1840	!-- Interpolate only if all required information is available on
	1841	!-- the current PE:
[1839]	1842	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1843	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1844
[1839]	1845	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1846	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1847	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1848	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1849	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1850	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1851	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1852	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1853	gg = dx * dy
	1854
[1864]	1855	w_int_l = ( aa * w(kk,jj,ii) + &
	1856	bb * w(kk,jj,ii+1) + &
	1857	cc * w(kk,jj+1,ii) + &
	1858	dd * w(kk,jj+1,ii+1) &
[1819]	1859	) / gg
	1860
[1864]	1861	w_int_u = ( aa * w(kk+1,jj,ii) + &
	1862	bb * w(kk+1,jj,ii+1) + &
	1863	cc * w(kk+1,jj+1,ii) + &
	1864	dd * w(kk+1,jj+1,ii+1) &
[1819]	1865	) / gg
	1866
[1864]	1867	w_int_1_l(inot,ring,rseg) = w_int_l + &
	1868	( rbz(ring,rseg) - zw(kk) ) / dz * &
[1819]	1869	( w_int_u - w_int_l )
	1870	ELSE
	1871	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1872	ENDIF
	1873	ELSE
	1874	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1875	ENDIF
	1876
	1877	ENDDO
	1878	ENDDO
	1879
	1880	ENDDO
	1881
	1882	!
	1883	!-- Exchange between PEs (information required on each PE):
	1884	#if defined( __parallel )
[1839]	1885	CALL MPI_ALLREDUCE( u_int_1_l, u_int, nturbines * MAXVAL(nrings) * &
	1886	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1887	CALL MPI_ALLREDUCE( v_int_1_l, v_int, nturbines * MAXVAL(nrings) * &
	1888	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1889	CALL MPI_ALLREDUCE( w_int_1_l, w_int, nturbines * MAXVAL(nrings) * &
	1890	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
[1819]	1891	#else
	1892	u_int = u_int_1_l
	1893	v_int = v_int_1_l
	1894	w_int = w_int_1_l
	1895	#endif
	1896
	1897
	1898	!
	1899	!-- Loop over number of turbines:
[1912]	1900
[1819]	1901	DO inot = 1, nturbines
[1912]	1902	pit_loop: DO
[1819]	1903
[1912]	1904	IF ( pitch_sw ) THEN
[1839]	1905	torque_total(inot) = 0.0_wp
[1912]	1906	thrust_rotor(inot) = 0.0_wp
	1907	pitch_add(inot) = pitch_add(inot) + 0.25_wp
	1908	! IF ( myid == 0 ) PRINT*, 'Pitch', inot, pitch_add(inot)
	1909	ELSE
	1910	cos_yaw = COS(phi_yaw(inot))
	1911	sin_yaw = SIN(phi_yaw(inot))
	1912	IF ( pitch_control ) THEN
	1913	pitch_add(inot) = MAX(pitch_add_old(inot) - pitch_rate * &
	1914	dt_3d , 0.0_wp )
	1915	ENDIF
[1819]	1916	ENDIF
	1917
[1839]	1918	!
	1919	!-- Loop over rings of each turbine:
[1819]	1920	DO ring = 1, nrings(inot)
	1921	!
	1922	!-- Determine distance between each ring (center) and the hub:
	1923	cur_r = (ring - 0.5_wp) * delta_r(inot)
[1839]	1924	!
	1925	!-- Loop over segments of each ring of each turbine:
[1819]	1926	DO rseg = 1, nsegs(ring,inot)
	1927	!
[1839]	1928	!-- Determine angle of ring segment towards zero degree angle of
	1929	!-- rotor system (at zero degree rotor direction vectors aligned
	1930	!-- with y-axis):
[1819]	1931	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1932	cos_rot = COS(phi_rotor)
	1933	sin_rot = SIN(phi_rotor)
	1934	!
[1839]	1935	!-- Now the direction vectors can be determined with respect to
	1936	!-- the yaw and tilt angle:
[1819]	1937	re(1) = cos_rot * sin_yaw
	1938	re(2) = cos_rot * cos_yaw
	1939	re(3) = sin_rot
	1940
[1864]	1941	! The current unit vector in azimuthal direction:
[1819]	1942	rea(1) = - sin_rot * sin_yaw
	1943	rea(2) = - sin_rot * cos_yaw
	1944	rea(3) = cos_rot
	1945
	1946	!
[1864]	1947	!-- To respect the yawing angle for the calculations of
	1948	!-- velocities and forces the unit vectors perpendicular to the
	1949	!-- rotor area in direction of the positive yaw angle are defined:
[1819]	1950	ren(1) = cos_yaw
	1951	ren(2) = - sin_yaw
	1952	ren(3) = 0.0_wp
	1953	!
	1954	!-- Multiplication with the coordinate transformation matrix
[1864]	1955	!-- gives the final unit vector with consideration of the rotor
	1956	!-- tilt:
[1819]	1957	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1958	rota = MATMUL( rot_coord_trans(inot,:,:), rea )
	1959	rotn = MATMUL( rot_coord_trans(inot,:,:), ren )
	1960	!
	1961	!-- Coordinates of the single segments (center points):
	1962	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	1963
	1964	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	1965
	1966	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	1967
	1968	!
[1864]	1969	!-- !-----------------------------------------------------------!
	1970	!-- !-- Calculation of various angles and relative velocities --!
	1971	!-- !-----------------------------------------------------------!
[1819]	1972	!
[1864]	1973	!-- In the following the 3D-velocity field is projected its
[2553]	1974	!-- components perpendicular and parallel to the rotor area
[1819]	1975	!-- The calculation of forces will be done in the rotor-
	1976	!-- coordinates y' and z.
	1977	!-- The yaw angle will be reintroduced when the force is applied
	1978	!-- on the hydrodynamic equations
[1864]	1979	!
	1980	!-- Projection of the xy-velocities relative to the rotor area
	1981	!
[1819]	1982	!-- Velocity perpendicular to the rotor area:
[1864]	1983	u_rot = u_int(inot,ring,rseg)*rotn(1) + &
	1984	v_int(inot,ring,rseg)*rotn(2) + &
[1819]	1985	w_int(inot,ring,rseg)*rotn(3)
	1986	!
[1864]	1987	!-- Projection of the 3D-velocity vector in the azimuthal
	1988	!-- direction:
	1989	vtheta(rseg) = rota(1) * u_int(inot,ring,rseg) + &
	1990	rota(2) * v_int(inot,ring,rseg) + &
[1819]	1991	rota(3) * w_int(inot,ring,rseg)
	1992	!
[1864]	1993	!-- Determination of the angle phi_rel between the rotor plane
	1994	!-- and the direction of the flow relative to the rotor:
[1819]	1995
[1864]	1996	phi_rel(rseg) = ATAN( u_rot / &
	1997	( omega_rot(inot) * cur_r - &
[1819]	1998	vtheta(rseg) ) )
	1999
	2000	!
[1864]	2001	!-- Interpolation of the local pitch angle from tabulated values
	2002	!-- to the current radial position:
[1819]	2003
	2004	lct=minloc(ABS(cur_r-lrd))
	2005	rad_d=cur_r-lrd(lct)
	2006
	2007	IF (cur_r == 0.0_wp) THEN
	2008	alpha_attack(rseg) = 0.0_wp
	2009	ELSE IF (cur_r >= lrd(size(ard))) THEN
[1864]	2010	alpha_attack(rseg) = ( ard(size(ard)) + &
	2011	ard(size(ard)-1) ) / 2.0_wp
[1819]	2012	ELSE
[1864]	2013	alpha_attack(rseg) = ( ard(lct(1)) * &
	2014	( ( lrd(lct(1)+1) - cur_r ) / &
	2015	( lrd(lct(1)+1) - lrd(lct(1)) ) &
	2016	) ) + ( ard(lct(1)+1) * &
	2017	( ( cur_r - lrd(lct(1)) ) / &
	2018	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2019	ENDIF
	2020
	2021	!
[1864]	2022	!-- In Fortran radian instead of degree is used as unit for all
	2023	!-- angles. Therefore, a transformation from angles given in
	2024	!-- degree to angles given in radian is necessary here:
	2025	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2026	( (2.0_wp*pi) / 360.0_wp )
	2027	!
[1864]	2028	!-- Substraction of the local pitch angle to obtain the local
	2029	!-- angle of attack:
[1819]	2030	alpha_attack(rseg) = phi_rel(rseg) - alpha_attack(rseg)
	2031	!
[1864]	2032	!-- Preliminary transformation back from angles given in radian
	2033	!-- to angles given in degree:
	2034	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2035	( 360.0_wp / (2.0_wp*pi) )
	2036	!
[1864]	2037	!-- Correct with collective pitch angle:
[2015]	2038	alpha_attack = alpha_attack - pitch_add(inot)
[1819]	2039
	2040	!
[1864]	2041	!-- Determination of the magnitude of the flow velocity relative
	2042	!-- to the rotor:
[1912]	2043	vrel(rseg) = SQRT( u_rot**2 + &
	2044	( omega_rot(inot) * cur_r - &
[1819]	2045	vtheta(rseg) )**2 )
	2046
	2047	!
[1864]	2048	!-- !-----------------------------------------------------------!
	2049	!-- !-- Interpolation of chord as well as lift and drag --!
	2050	!-- !-- coefficients from tabulated values --!
	2051	!-- !-----------------------------------------------------------!
[1819]	2052
	2053	!
[1864]	2054	!-- Interpolation of the chord_length from tabulated values to
	2055	!-- the current radial position:
[1819]	2056
	2057	IF (cur_r == 0.0_wp) THEN
	2058	chord(rseg) = 0.0_wp
	2059	ELSE IF (cur_r >= lrd(size(crd))) THEN
[1864]	2060	chord(rseg) = (crd(size(crd)) + ard(size(crd)-1)) / 2.0_wp
[1819]	2061	ELSE
[1864]	2062	chord(rseg) = ( crd(lct(1)) * &
	2063	( ( lrd(lct(1)+1) - cur_r ) / &
	2064	( lrd(lct(1)+1) - lrd(lct(1)) ) ) ) + &
	2065	( crd(lct(1)+1) * &
	2066	( ( cur_r-lrd(lct(1)) ) / &
	2067	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2068	ENDIF
	2069
	2070	!
	2071	!-- Determine index of current angle of attack, needed for
[1864]	2072	!-- finding the appropriate interpolated values of the lift and
[2836]	2073	!-- drag coefficients (-180.0 degrees = 1, +180.0 degrees = 3601,
	2074	!-- so one index every 0.1 degrees):
[1864]	2075	iialpha = CEILING( ( alpha_attack(rseg) + 180.0_wp ) &
[2836]	2076	* ( 1.0_wp / accu_cl_cd_tab ) ) + 1.0_wp
[1819]	2077	!
	2078	!-- Determine index of current radial position, needed for
[1864]	2079	!-- finding the appropriate interpolated values of the lift and
	2080	!-- drag coefficients (one index every 0.1 m):
[1819]	2081	iir = CEILING( cur_r * 10.0_wp )
	2082	!
[1864]	2083	!-- Read in interpolated values of the lift and drag coefficients
	2084	!-- for the current radial position and angle of attack:
[1839]	2085	turb_cl(rseg) = turb_cl_tab(iialpha,iir)
	2086	turb_cd(rseg) = turb_cd_tab(iialpha,iir)
[1819]	2087
	2088	!
[1864]	2089	!-- Final transformation back from angles given in degree to
	2090	!-- angles given in radian:
	2091	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2092	( (2.0_wp*pi) / 360.0_wp )
	2093
[2152]	2094	IF ( tl_cor ) THEN
	2095
	2096	!-- Tip loss correction following Schito
	2097	!-- Schito applies the tip loss correction only to the lift force
	2098	!-- Therefore, the tip loss correction is only applied to the lift
	2099	!-- coefficient and not to the drag coefficient in our case
	2100	!--
	2101	tl_factor = ( 2.0 / pi ) * &
	2102	ACOS( EXP( -1.0 * ( 3.0 * ( rr(inot) - cur_r ) / &
	2103	( 2.0 * cur_r * abs( sin( phi_rel(rseg) ) ) ) ) ) )
	2104
	2105	turb_cl(rseg) = tl_factor * turb_cl(rseg)
	2106
[2894]	2107	ENDIF
[1819]	2108	!
	2109	!-- !-----------------------------------------------------!
	2110	!-- !-- Calculation of the forces --!
	2111	!-- !-----------------------------------------------------!
	2112
	2113	!
[1864]	2114	!-- Calculate the pre_factor for the thrust and torque forces:
[1819]	2115
	2116	pre_factor = 0.5_wp * (vrel(rseg)*2) 3.0_wp * &
	2117	chord(rseg) * delta_r(inot) / nsegs(ring,inot)
	2118
	2119	!
[1864]	2120	!-- Calculate the thrust force (x-component of the total force)
	2121	!-- for each ring segment:
	2122	thrust_seg(rseg) = pre_factor * &
	2123	( turb_cl(rseg) * COS(phi_rel(rseg)) + &
	2124	turb_cd(rseg) * SIN(phi_rel(rseg)) )
[1819]	2125
	2126	!
[1864]	2127	!-- Determination of the second of the additional forces acting
	2128	!-- on the flow in the azimuthal direction: force vector as basis
	2129	!-- for torque (torque itself would be the vector product of the
	2130	!-- radius vector and the force vector):
	2131	torque_seg = pre_factor * &
	2132	( turb_cl(rseg) * SIN(phi_rel(rseg)) - &
[1839]	2133	turb_cd(rseg) * COS(phi_rel(rseg)) )
[1819]	2134	!
	2135	!-- Decomposition of the force vector into two parts:
[1864]	2136	!-- One acting along the y-direction and one acting along the
	2137	!-- z-direction of the rotor coordinate system:
[1819]	2138
	2139	torque_seg_y(rseg) = -torque_seg * sin_rot
	2140	torque_seg_z(rseg) = torque_seg * cos_rot
	2141
[1912]	2142	!
	2143	!-- Add the segment thrust to the thrust of the whole rotor
	2144	thrust_rotor(inot) = thrust_rotor(inot) + &
	2145	thrust_seg(rseg)
	2146
	2147
[1819]	2148	torque_total(inot) = torque_total(inot) + (torque_seg * cur_r)
	2149
[1864]	2150	ENDDO !-- end of loop over ring segments
[1819]	2151
	2152	!
[1864]	2153	!-- Restore the forces into arrays containing all the segments of
	2154	!-- each ring:
[1819]	2155	thrust_ring(ring,:) = thrust_seg(:)
	2156	torque_ring_y(ring,:) = torque_seg_y(:)
	2157	torque_ring_z(ring,:) = torque_seg_z(:)
	2158
	2159
[1864]	2160	ENDDO !-- end of loop over rings
[1819]	2161
	2162
[1864]	2163	CALL cpu_log( log_point_s(62), 'wtm_controller', 'start' )
[1819]	2164
[1912]	2165
	2166	IF ( speed_control ) THEN
	2167	!
	2168	!-- Calculation of the current generator speed for rotor speed control
	2169
	2170	!
	2171	!-- The acceleration of the rotor speed is calculated from
	2172	!-- the force balance of the accelerating torque
	2173	!-- and the torque of the rotating rotor and generator
	2174	om_rate = ( torque_total(inot) * air_dens * gear_eff - &
	2175	gear_ratio * torque_gen_old(inot) ) / &
	2176	( inertia_rot + &
	2177	gear_ratio * gear_ratio * inertia_gen ) * dt_3d
[1819]	2178
[1912]	2179	!
	2180	!-- The generator speed is given by the product of gear gear_ratio
	2181	!-- and rotor speed
	2182	omega_gen(inot) = gear_ratio * ( omega_rot(inot) + om_rate )
	2183
	2184	ENDIF
	2185
[1864]	2186	IF ( pitch_control ) THEN
[1819]	2187
[1912]	2188	!
	2189	!-- If the current generator speed is above rated, the pitch is not
	2190	!-- saturated and the change from the last time step is within the
	2191	!-- maximum pitch rate, then the pitch loop is repeated with a pitch
	2192	!-- gain
	2193	IF ( ( omega_gen(inot) > rated_genspeed ) .AND. &
	2194	( pitch_add(inot) < 25.0_wp ) .AND. &
	2195	( pitch_add(inot) < pitch_add_old(inot) + &
	2196	pitch_rate * dt_3d ) ) THEN
[1864]	2197	pitch_sw = .TRUE.
[1912]	2198	!
	2199	!-- Go back to beginning of pit_loop
	2200	CYCLE pit_loop
[1819]	2201	ENDIF
[1912]	2202
	2203	!
	2204	!-- The current pitch is saved for the next time step
	2205	pitch_add_old(inot) = pitch_add(inot)
[1864]	2206	pitch_sw = .FALSE.
[1819]	2207	ENDIF
[1912]	2208	EXIT pit_loop
	2209	ENDDO pit_loop ! Recursive pitch control loop
[1819]	2210
[1864]	2211
[1819]	2212	!
[1864]	2213	!-- Call the rotor speed controller
	2214
[1819]	2215	IF ( speed_control ) THEN
	2216	!
[1864]	2217	!-- Find processor at i_hub, j_hub
[1912]	2218	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2219	THEN
	2220	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2221	THEN
[1864]	2222	CALL wtm_speed_control( inot )
	2223	ENDIF
[1912]	2224	ENDIF
[1864]	2225
[1819]	2226	ENDIF
	2227
	2228
[1864]	2229	CALL cpu_log( log_point_s(62), 'wtm_controller', 'stop' )
[1819]	2230
[1864]	2231	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'start' )
[1819]	2232
	2233
[1864]	2234	!-- !-----------------------------------------------------------------!
	2235	!-- !-- Regularization kernel --!
	2236	!-- !-- Smearing of the forces and interpolation to cartesian grid --!
	2237	!-- !-----------------------------------------------------------------!
[1819]	2238	!
[1864]	2239	!-- The aerodynamic blade forces need to be distributed smoothly on
	2240	!-- several mesh points in order to avoid singular behaviour
[1819]	2241	!
	2242	!-- Summation over sum of weighted forces. The weighting factor
[1864]	2243	!-- (calculated in user_init) includes information on the distance
	2244	!-- between the center of the grid cell and the rotor segment under
	2245	!-- consideration
[1819]	2246	!
[1864]	2247	!-- To save computing time, apply smearing only for the relevant part
	2248	!-- of the model domain:
[1819]	2249	!
	2250	!--
	2251	!-- Calculation of the boundaries:
[1864]	2252	i_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,1) ) + &
	2253	eps_min ) / dx )
	2254	j_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,2) ) + &
	2255	eps_min ) / dy )
[1819]	2256
[1864]	2257	DO i = MAX( nxl, i_hub(inot) - i_smear(inot) ), &
[1819]	2258	MIN( nxr, i_hub(inot) + i_smear(inot) )
[1864]	2259	DO j = MAX( nys, j_hub(inot) - j_smear(inot) ), &
[1819]	2260	MIN( nyn, j_hub(inot) + j_smear(inot) )
[2232]	2261	! DO k = MAX( nzb_u_inner(j,i)+1, k_hub(inot) - k_smear(inot) ), &
	2262	! k_hub(inot) + k_smear(inot)
	2263	DO k = nzb+1, k_hub(inot) + k_smear(inot)
[1819]	2264	DO ring = 1, nrings(inot)
	2265	DO rseg = 1, nsegs(ring,inot)
	2266	!
[2232]	2267	!-- Predetermine flag to mask topography
	2268	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 1 ) )
	2269
	2270	!
[1819]	2271	!-- Determine the square of the distance between the
	2272	!-- current grid point and each rotor area segment:
[1864]	2273	dist_u_3d = ( i * dx - rbx(ring,rseg) )**2 + &
	2274	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
	2275	( k * dz - 0.5_wp * dz - rbz(ring,rseg) )**2
	2276	dist_v_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2277	( j * dy - rby(ring,rseg) )**2 + &
	2278	( k * dz - 0.5_wp * dz - rbz(ring,rseg) )**2
	2279	dist_w_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2280	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
	2281	( k * dz - rbz(ring,rseg) )**2
[1819]	2282
	2283	!
	2284	!-- 3D-smearing of the forces with a polynomial function
	2285	!-- (much faster than the old Gaussian function), using
	2286	!-- some parameters that have been calculated in user_init.
	2287	!-- The function is only similar to Gaussian function for
	2288	!-- squared distances <= eps_min2:
	2289	IF ( dist_u_3d <= eps_min2 ) THEN
[2232]	2290	thrust(k,j,i) = thrust(k,j,i) + &
	2291	thrust_ring(ring,rseg) * &
	2292	( ( pol_a * dist_u_3d - pol_b ) * &
	2293	dist_u_3d + 1.0_wp ) * eps_factor *&
	2294	flag
[1819]	2295	ENDIF
	2296	IF ( dist_v_3d <= eps_min2 ) THEN
[2232]	2297	torque_y(k,j,i) = torque_y(k,j,i) + &
	2298	torque_ring_y(ring,rseg) * &
	2299	( ( pol_a * dist_v_3d - pol_b ) * &
	2300	dist_v_3d + 1.0_wp ) * eps_factor * &
	2301	flag
[1819]	2302	ENDIF
	2303	IF ( dist_w_3d <= eps_min2 ) THEN
[2232]	2304	torque_z(k,j,i) = torque_z(k,j,i) + &
	2305	torque_ring_z(ring,rseg) * &
	2306	( ( pol_a * dist_w_3d - pol_b ) * &
	2307	dist_w_3d + 1.0_wp ) * eps_factor * &
	2308	flag
[1819]	2309	ENDIF
	2310
	2311	ENDDO ! End of loop over rseg
	2312	ENDDO ! End of loop over ring
	2313
	2314	!
	2315	!-- Rotation of force components:
[2232]	2316	rot_tend_x(k,j,i) = rot_tend_x(k,j,i) + ( &
[1864]	2317	thrust(k,j,i)*rotx(inot,1) + &
	2318	torque_y(k,j,i)*roty(inot,1) + &
[2232]	2319	torque_z(k,j,i)*rotz(inot,1) &
	2320	) * flag
[1819]	2321
[2232]	2322	rot_tend_y(k,j,i) = rot_tend_y(k,j,i) + ( &
[1864]	2323	thrust(k,j,i)*rotx(inot,2) + &
	2324	torque_y(k,j,i)*roty(inot,2) + &
[2232]	2325	torque_z(k,j,i)*rotz(inot,2) &
	2326	) * flag
[1819]	2327
[2232]	2328	rot_tend_z(k,j,i) = rot_tend_z(k,j,i) + ( &
[1864]	2329	thrust(k,j,i)*rotx(inot,3) + &
	2330	torque_y(k,j,i)*roty(inot,3) + &
[2232]	2331	torque_z(k,j,i)*rotz(inot,3) &
	2332	) * flag
[1819]	2333
	2334	ENDDO ! End of loop over k
	2335	ENDDO ! End of loop over j
	2336	ENDDO ! End of loop over i
	2337
[1864]	2338	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'stop' )
[1819]	2339
[1912]	2340	ENDDO !-- end of loop over turbines
[1819]	2341
	2342
	2343	IF ( yaw_control ) THEN
	2344	!
	2345	!-- Allocate arrays for yaw control at first call
	2346	!-- Can't be allocated before dt_3d is set
	2347	IF ( start_up ) THEN
[1864]	2348	WDLON = NINT( 30.0_wp / dt_3d ) ! 30s running mean array
[1819]	2349	ALLOCATE( wd30(1:nturbines,1:WDLON) )
[1912]	2350	wd30 = 999.0_wp ! Set to dummy value
[1819]	2351	ALLOCATE( wd30_l(1:WDLON) )
	2352
[1864]	2353	WDSHO = NINT( 2.0_wp / dt_3d ) ! 2s running mean array
[1819]	2354	ALLOCATE( wd2(1:nturbines,1:WDSHO) )
[1912]	2355	wd2 = 999.0_wp ! Set to dummy value
[1819]	2356	ALLOCATE( wd2_l(1:WDSHO) )
	2357	start_up = .FALSE.
	2358	ENDIF
	2359
	2360	!
	2361	!-- Calculate the inflow wind speed
	2362	!--
	2363	!-- Loop over number of turbines:
	2364	DO inot = 1, nturbines
	2365	!
	2366	!-- Find processor at i_hub, j_hub
[1912]	2367	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2368	THEN
	2369	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2370	THEN
[1864]	2371
[1819]	2372	u_inflow_l(inot) = u(k_hub(inot),j_hub(inot),i_hub(inot))
[1864]	2373
[1912]	2374	wdir_l(inot) = -1.0_wp * ATAN2( &
	2375	0.5_wp * ( v(k_hub(inot),j_hub(inot),i_hub(inot)+1) + &
	2376	v(k_hub(inot),j_hub(inot),i_hub(inot)) ) , &
	2377	0.5_wp * ( u(k_hub(inot),j_hub(inot)+1,i_hub(inot)) + &
	2378	u(k_hub(inot),j_hub(inot),i_hub(inot)) ) )
[1864]	2379
	2380	CALL wtm_yawcontrol( inot )
	2381
[1819]	2382	phi_yaw_l(inot) = phi_yaw(inot)
[2015]	2383
[1819]	2384	ENDIF
	2385	ENDIF
	2386
[1864]	2387	ENDDO !-- end of loop over turbines
	2388
	2389	!
[1929]	2390	!-- Transfer of information to the other cpus
	2391	#if defined( __parallel )
[1864]	2392	CALL MPI_ALLREDUCE( u_inflow_l, u_inflow, nturbines, MPI_REAL, &
	2393	MPI_SUM, comm2d, ierr )
	2394	CALL MPI_ALLREDUCE( wdir_l, wdir, nturbines, MPI_REAL, MPI_SUM, &
	2395	comm2d, ierr )
	2396	CALL MPI_ALLREDUCE( phi_yaw_l, phi_yaw, nturbines, MPI_REAL, &
	2397	MPI_SUM, comm2d, ierr )
[1929]	2398	#else
	2399	u_inflow = u_inflow_l
	2400	wdir = wdir_l
	2401	phi_yaw = phi_yaw_l
[2015]	2402
	2403
[1929]	2404	#endif
[1819]	2405	DO inot = 1, nturbines
[1864]	2406	!
	2407	!-- Update rotor orientation
	2408	CALL wtm_rotate_rotor( inot )
[1819]	2409
	2410	ENDDO ! End of loop over turbines
	2411
[2894]	2412	ENDIF ! end of yaw control
[1864]	2413
	2414	IF ( speed_control ) THEN
	2415	!
	2416	!-- Transfer of information to the other cpus
[1912]	2417	! CALL MPI_ALLREDUCE( omega_gen, omega_gen_old, nturbines, &
	2418	! MPI_REAL,MPI_SUM, comm2d, ierr )
[1929]	2419	#if defined( __parallel )
[1864]	2420	CALL MPI_ALLREDUCE( torque_gen, torque_gen_old, nturbines, &
	2421	MPI_REAL, MPI_SUM, comm2d, ierr )
	2422	CALL MPI_ALLREDUCE( omega_rot_l, omega_rot, nturbines, &
	2423	MPI_REAL, MPI_SUM, comm2d, ierr )
[1912]	2424	CALL MPI_ALLREDUCE( omega_gen_f, omega_gen_f_old, nturbines, &
	2425	MPI_REAL, MPI_SUM, comm2d, ierr )
[1929]	2426	#else
	2427	torque_gen_old = torque_gen
	2428	omega_rot = omega_rot_l
	2429	omega_gen_f_old = omega_gen_f
	2430	#endif
[1864]	2431
	2432	ENDIF
[1819]	2433
	2434	DO inot = 1, nturbines
	2435
	2436	IF ( myid == 0 ) THEN
	2437	IF ( openfile_turb_mod(400+inot)%opened ) THEN
	2438	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2439	omega_gen(inot), torque_gen_old(inot), &
[1864]	2440	torque_total(inot), pitch_add(inot), &
[1912]	2441	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2442	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2443	thrust_rotor(inot), &
[1864]	2444	wdir(inot)*180.0_wp/pi, &
	2445	(phi_yaw(inot))*180.0_wp/pi
[1912]	2446
[1819]	2447	ELSE
	2448
[2669]	2449	WRITE ( turbine_id,'(A2,I2.2)') '_T', inot
	2450	OPEN ( 400+inot, FILE=( 'WTM_OUTPUT_DATA' // &
	2451	TRIM( coupling_char ) // &
	2452	turbine_id ), FORM='FORMATTED' )
[1819]	2453	WRITE ( 400+inot, 105 ) inot
	2454	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2455	omega_gen(inot), torque_gen_old(inot), &
[1864]	2456	torque_total(inot), pitch_add(inot), &
[1912]	2457	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2458	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2459	thrust_rotor(inot), &
[1864]	2460	wdir(inot)*180.0_wp/pi, &
	2461	(phi_yaw(inot))*180.0_wp/pi
[1819]	2462	ENDIF
	2463	ENDIF
	2464
[1912]	2465	!-- Set open flag
[1819]	2466	openfile_turb_mod(400+inot)%opened = .TRUE.
[1864]	2467	ENDDO !-- end of loop over turbines
[1819]	2468
	2469	ENDIF
	2470
[1864]	2471	CALL cpu_log( log_point_s(61), 'wtm_forces', 'stop' )
[1819]	2472
[1912]	2473	!
	2474	!-- Formats
[1819]	2475	105 FORMAT ('Turbine control data for turbine ',I2,1X,':'/ &
	2476	&'----------------------------------------'/ &
	2477	&' Time RSpeed GSpeed ', &
[1912]	2478	'GenTorque AeroTorque Pitch Power(Gen) Power(Rot) ', &
	2479	'RotThrust WDirection YawOrient')
[1819]	2480
[1864]	2481	106 FORMAT (F9.3,2X,F7.3,2X,F7.2,2X,F9.1,3X,F9.1,1X,F6.2,2X,F10.1,2X, &
	2482	F10.1,1X,F9.1,2X,F7.2,1X,F7.2)
[1819]	2483
	2484
	2485	END SUBROUTINE wtm_forces
	2486
	2487
[1839]	2488	!------------------------------------------------------------------------------!
	2489	! Description:
	2490	! ------------
	2491	!> Yaw controller for the wind turbine model
	2492	!------------------------------------------------------------------------------!
	2493	SUBROUTINE wtm_yawcontrol( inot )
	2494
[1819]	2495	USE kinds
[1839]	2496
	2497	IMPLICIT NONE
[1819]	2498
	2499	INTEGER(iwp) :: inot
	2500	INTEGER(iwp) :: i_wd_30
	2501	REAL(wp) :: missal
	2502
	2503	i_wd_30 = 0_iwp
	2504
	2505	!
[1864]	2506	!-- The yaw controller computes a 30s running mean of the wind direction.
	2507	!-- If the difference between turbine alignment and wind direction exceeds
	2508	!-- 5Â°, the turbine is yawed. The mechanism stops as soon as the 2s-running
	2509	!-- mean of the missalignment is smaller than 0.5Â°.
	2510	!-- Attention: If the timestep during the simulation changes significantly
	2511	!-- the lengths of the running means change and it does not correspond to
	2512	!-- 30s/2s anymore.
	2513	!-- ! Needs to be modified for these situations !
	2514	!-- For wind from the east, the averaging of the wind direction could cause
	2515	!-- problems and the yaw controller is probably flawed. -> Routine for
	2516	!-- averaging needs to be improved!
	2517	!
	2518	!-- Check if turbine is not yawing
[1819]	2519	IF ( .NOT. doyaw(inot) ) THEN
[1843]	2520	!
[1864]	2521	!-- Write current wind direction into array
[1843]	2522	wd30_l = wd30(inot,:)
	2523	wd30_l = CSHIFT( wd30_l, SHIFT=-1 )
[1819]	2524	wd30_l(1) = wdir(inot)
[1843]	2525	!
[1864]	2526	!-- Check if array is full ( no more dummies )
[1819]	2527	IF ( .NOT. ANY( wd30_l == 999.) ) THEN
	2528
	2529	missal = SUM( wd30_l ) / SIZE( wd30_l ) - phi_yaw(inot)
	2530	!
[1864]	2531	!-- Check if turbine is missaligned by more than max_miss
[1843]	2532	IF ( ABS( missal ) > max_miss ) THEN
	2533	!
[1864]	2534	!-- Check in which direction to yaw
[1843]	2535	yawdir(inot) = SIGN( 1.0_wp, missal )
[1819]	2536	!
[1864]	2537	!-- Start yawing of turbine
[1843]	2538	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2539	doyaw(inot) = .TRUE.
[1864]	2540	wd30_l = 999. ! fill with dummies again
[1819]	2541	ENDIF
	2542	ENDIF
	2543
	2544	wd30(inot,:) = wd30_l
	2545
	2546	!
[1864]	2547	!-- If turbine is already yawing:
	2548	!-- Initialize 2 s running mean and yaw until the missalignment is smaller
	2549	!-- than min_miss
[1819]	2550
	2551	ELSE
	2552	!
	2553	!-- Initialize 2 s running mean
	2554	wd2_l = wd2(inot,:)
[1864]	2555	wd2_l = CSHIFT( wd2_l, SHIFT = -1 )
[1819]	2556	wd2_l(1) = wdir(inot)
[1843]	2557	!
[1864]	2558	!-- Check if array is full ( no more dummies )
	2559	IF ( .NOT. ANY( wd2_l == 999.0_wp ) ) THEN
	2560	!
	2561	!-- Calculate missalignment of turbine
[1819]	2562	missal = SUM( wd2_l - phi_yaw(inot) ) / SIZE( wd2_l )
[1864]	2563	!
	2564	!-- Check if missalignment is still larger than 0.5 degree and if the
	2565	!-- yaw direction is still right
	2566	IF ( ( ABS( missal ) > min_miss ) .AND. &
	2567	( yawdir(inot) == SIGN( 1.0_wp, missal ) ) ) THEN
	2568	!
	2569	!-- Continue yawing
	2570	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2571	ELSE
[1864]	2572	!
	2573	!-- Stop yawing
[1819]	2574	doyaw(inot) = .FALSE.
[1864]	2575	wd2_l = 999.0_wp ! fill with dummies again
[1819]	2576	ENDIF
	2577	ELSE
[1864]	2578	!
	2579	!-- Continue yawing
[1843]	2580	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2581	ENDIF
	2582
	2583	wd2(inot,:) = wd2_l
	2584
	2585	ENDIF
	2586
[1839]	2587	END SUBROUTINE wtm_yawcontrol
[1819]	2588
[1864]	2589
[1819]	2590	!------------------------------------------------------------------------------!
	2591	! Description:
	2592	! ------------
[1864]	2593	!> Initialization of the speed control
	2594	!------------------------------------------------------------------------------!
	2595	SUBROUTINE wtm_init_speed_control
	2596
	2597
	2598	IMPLICIT NONE
	2599
	2600	!
	2601	!-- If speed control is set, remaining variables and control_parameters for
	2602	!-- the control algorithm are calculated
	2603	!
	2604	!-- Calculate slope constant for region 15
	2605	slope15 = ( slope2 * min_reg2 * min_reg2 ) / ( min_reg2 - min_reg15 )
	2606	!
	2607	!-- Calculate upper limit of slipage region
	2608	vs_sysp = rated_genspeed / 1.1_wp
	2609	!
	2610	!-- Calculate slope of slipage region
	2611	slope25 = ( rated_power / rated_genspeed ) / &
	2612	( rated_genspeed - vs_sysp )
	2613	!
	2614	!-- Calculate lower limit of slipage region
	2615	min_reg25 = ( slope25 - SQRT( slope25 * ( slope25 - 4.0_wp * &
	2616	slope2 * vs_sysp ) ) ) / &
[2410]	2617	( 2.0_wp * slope2 )
[1864]	2618	!
	2619	!-- Frequency for the simple low pass filter
	2620	Fcorner = 0.25_wp
	2621	!
	2622	!-- At the first timestep the torque is set to its maximum to prevent
	2623	!-- an overspeeding of the rotor
[2563]	2624	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	2625	torque_gen_old(:) = max_torque_gen
	2626	ENDIF
[1864]	2627
	2628	END SUBROUTINE wtm_init_speed_control
	2629
	2630
	2631	!------------------------------------------------------------------------------!
	2632	! Description:
	2633	! ------------
	2634	!> Simple controller for the regulation of the rotor speed
	2635	!------------------------------------------------------------------------------!
	2636	SUBROUTINE wtm_speed_control( inot )
	2637
	2638
	2639	IMPLICIT NONE
	2640
[1912]	2641	INTEGER(iwp) :: inot
	2642
	2643
[1864]	2644
	2645	!
	2646	!-- The controller is based on the fortran script from Jonkman
	2647	!-- et al. 2009 "Definition of a 5 MW Reference Wind Turbine for
	2648	!-- offshore system developement"
	2649
	2650	!
	2651	!-- The generator speed is filtered by a low pass filter
	2652	!-- for the control of the generator torque
	2653	lp_coeff = EXP( -2.0_wp * 3.14_wp * dt_3d * Fcorner )
[1912]	2654	omega_gen_f(inot) = ( 1.0_wp - lp_coeff ) * omega_gen(inot) + lp_coeff *&
[1864]	2655	omega_gen_f_old(inot)
	2656
	2657	IF ( omega_gen_f(inot) <= min_reg15 ) THEN
	2658	!
	2659	!-- Region 1: Generator torque is set to zero to accelerate the rotor:
	2660	torque_gen(inot) = 0
	2661
	2662	ELSEIF ( omega_gen_f(inot) <= min_reg2 ) THEN
	2663	!
	2664	!-- Region 1.5: Generator torque is increasing linearly with rotor speed:
	2665	torque_gen(inot) = slope15 * ( omega_gen_f(inot) - min_reg15 )
	2666
	2667	ELSEIF ( omega_gen_f(inot) <= min_reg25 ) THEN
	2668	!
	2669	!-- Region 2: Generator torque is increased by the square of the generator
	2670	!-- speed to keep the TSR optimal:
	2671	torque_gen(inot) = slope2 * omega_gen_f(inot) * omega_gen_f(inot)
	2672
	2673	ELSEIF ( omega_gen_f(inot) < rated_genspeed ) THEN
	2674	!
	2675	!-- Region 2.5: Slipage region between 2 and 3:
	2676	torque_gen(inot) = slope25 * ( omega_gen_f(inot) - vs_sysp )
	2677
	2678	ELSE
	2679	!
	2680	!-- Region 3: Generator torque is antiproportional to the rotor speed to
	2681	!-- keep the power constant:
	2682	torque_gen(inot) = rated_power / omega_gen_f(inot)
	2683
	2684	ENDIF
	2685	!
	2686	!-- Calculate torque rate and confine with a max
	2687	trq_rate = ( torque_gen(inot) - torque_gen_old(inot) ) / dt_3d
	2688	trq_rate = MIN( MAX( trq_rate, -1.0_wp * max_trq_rate ), max_trq_rate )
	2689	!
	2690	!-- Calculate new gen torque and confine with max torque
	2691	torque_gen(inot) = torque_gen_old(inot) + trq_rate * dt_3d
	2692	torque_gen(inot) = MIN( torque_gen(inot), max_torque_gen )
	2693	!
	2694	!-- Overwrite values for next timestep
[1912]	2695	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
[1864]	2696
	2697
	2698	END SUBROUTINE wtm_speed_control
	2699
	2700
	2701	!------------------------------------------------------------------------------!
	2702	! Description:
	2703	! ------------
[1839]	2704	!> Application of the additional forces generated by the wind turbine on the
	2705	!> flow components (tendency terms)
	2706	!> Call for all grid points
[1819]	2707	!------------------------------------------------------------------------------!
	2708	SUBROUTINE wtm_tendencies( component )
	2709
[1839]	2710
[1819]	2711	IMPLICIT NONE
	2712
[1839]	2713	INTEGER(iwp) :: component !< prognostic variable (u,v,w)
	2714	INTEGER(iwp) :: i !< running index
	2715	INTEGER(iwp) :: j !< running index
	2716	INTEGER(iwp) :: k !< running index
[1819]	2717
	2718
	2719	SELECT CASE ( component )
	2720
	2721	CASE ( 1 )
	2722	!
	2723	!-- Apply the x-component of the force to the u-component of the flow:
[1864]	2724	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2725	DO i = nxlg, nxrg
	2726	DO j = nysg, nyng
[2553]	2727	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	2728	!
[1864]	2729	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2730	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[2553]	2731	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2732	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2733	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2553]	2734
[2232]	2735	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	2736	- tend_nac_x - tend_tow_x ) &
	2737	* MERGE( 1.0_wp, 0.0_wp, &
	2738	BTEST( wall_flags_0(k,j,i), 1 ) )
[1819]	2739	ENDDO
	2740	ENDDO
	2741	ENDDO
	2742	ENDIF
	2743
	2744	CASE ( 2 )
	2745	!
	2746	!-- Apply the y-component of the force to the v-component of the flow:
[1864]	2747	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2748	DO i = nxlg, nxrg
	2749	DO j = nysg, nyng
[2553]	2750	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	2751	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2752	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2753	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2754	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	2755	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	2756	- tend_nac_y - tend_tow_y ) &
	2757	* MERGE( 1.0_wp, 0.0_wp, &
	2758	BTEST( wall_flags_0(k,j,i), 2 ) )
[1819]	2759	ENDDO
	2760	ENDDO
	2761	ENDDO
	2762	ENDIF
	2763
	2764	CASE ( 3 )
	2765	!
	2766	!-- Apply the z-component of the force to the w-component of the flow:
[1864]	2767	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2768	DO i = nxlg, nxrg
	2769	DO j = nysg, nyng
[2553]	2770	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	2771	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	2772	* MERGE( 1.0_wp, 0.0_wp, &
	2773	BTEST( wall_flags_0(k,j,i), 3 ) )
[1819]	2774	ENDDO
	2775	ENDDO
	2776	ENDDO
	2777	ENDIF
	2778
	2779
	2780	CASE DEFAULT
	2781
	2782	WRITE( message_string, * ) 'unknown prognostic variable: ', component
	2783	CALL message( 'wtm_tendencies', 'PA04??', 1, 2, 0, 6, 0 )
	2784
	2785	END SELECT
	2786
	2787
	2788	END SUBROUTINE wtm_tendencies
	2789
	2790
	2791	!------------------------------------------------------------------------------!
	2792	! Description:
	2793	! ------------
[1839]	2794	!> Application of the additional forces generated by the wind turbine on the
	2795	!> flow components (tendency terms)
	2796	!> Call for grid point i,j
[1819]	2797	!------------------------------------------------------------------------------!
	2798	SUBROUTINE wtm_tendencies_ij( i, j, component )
	2799
	2800
	2801	IMPLICIT NONE
	2802
[1839]	2803	INTEGER(iwp) :: component !< prognostic variable (u,v,w)
	2804	INTEGER(iwp) :: i !< running index
	2805	INTEGER(iwp) :: j !< running index
	2806	INTEGER(iwp) :: k !< running index
[1819]	2807
	2808	SELECT CASE ( component )
	2809
	2810	CASE ( 1 )
	2811	!
	2812	!-- Apply the x-component of the force to the u-component of the flow:
[1839]	2813	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2814	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	2815	!
[1839]	2816	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2817	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2818	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2819	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2820	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2232]	2821	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	2822	- tend_nac_x - tend_tow_x ) &
	2823	* MERGE( 1.0_wp, 0.0_wp, &
[2553]	2824	BTEST( wall_flags_0(k,j,i), 1 ) )
[1819]	2825	ENDDO
	2826	ENDIF
	2827
	2828	CASE ( 2 )
	2829	!
	2830	!-- Apply the y-component of the force to the v-component of the flow:
[1839]	2831	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2832	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	2833	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2834	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2835	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2836	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	2837	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	2838	- tend_nac_y - tend_tow_y ) &
	2839	* MERGE( 1.0_wp, 0.0_wp, &
	2840	BTEST( wall_flags_0(k,j,i), 2 ) )
[2553]	2841	ENDDO
[1819]	2842	ENDIF
	2843
	2844	CASE ( 3 )
	2845	!
	2846	!-- Apply the z-component of the force to the w-component of the flow:
[1839]	2847	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2848	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	2849	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	2850	* MERGE( 1.0_wp, 0.0_wp, &
	2851	BTEST( wall_flags_0(k,j,i), 3 ) )
[1819]	2852	ENDDO
	2853	ENDIF
	2854
	2855
	2856	CASE DEFAULT
	2857
	2858	WRITE( message_string, * ) 'unknown prognostic variable: ', component
	2859	CALL message( 'wtm_tendencies', 'PA04??', 1, 2, 0, 6, 0 )
	2860
	2861	END SELECT
	2862
	2863
	2864	END SUBROUTINE wtm_tendencies_ij
	2865
	2866	END MODULE wind_turbine_model_mod

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