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source: palm/trunk/SOURCE/wind_turbine_model_mod.f90 @ 2965

Last change on this file since 2965 was 2932, checked in by maronga, 7 years ago
renamed all Fortran NAMELISTS
Property svn:keywords set to `Id`
File size: 119.0 KB

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

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