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source: palm/trunk/SOURCE/wind_turbine_model_mod.f90 @ 3137

Last change on this file since 3137 was 3069, checked in by witha, 6 years ago
Initialization of some arrays changed
Property svn:keywords set to `Id`
File size: 120.5 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	! -----------------
[3069]	23	!
[1913]	24	!
	25	! Former revisions:
	26	! -----------------
	27	! $Id: wind_turbine_model_mod.f90 3069 2018-06-15 07:56:09Z maronga $
[3069]	28	! Initialization of some arrays added
	29	!
	30	! 3066 2018-06-12 08:55:55Z Giersch
[3066]	31	! Error message revised
[3069]	32	!
[3066]	33	! 3065 2018-06-12 07:03:02Z Giersch
[3065]	34	! dz was replaced by dz(1), error message concerning grid stretching has been
	35	! introduced
	36	!
	37	! 3049 2018-05-29 13:52:36Z Giersch
[3049]	38	! Error messages revised
	39	!
	40	! 2932 2018-03-26 09:39:22Z Giersch
[2932]	41	! renamed wind_turbine_par to wind_turbine_parameters
	42	!
	43	! 2894 2018-03-15 09:17:58Z Giersch
[2894]	44	! variable named found has been introduced for checking if restart data was
	45	! found, reading of restart strings has been moved completely to
	46	! read_restart_data_mod, wind_turbine_prerun flag has been removed, redundant
	47	! skipping function has been removed, wtm_read/write_restart_data have been
	48	! renamed to wtm_r/wrd_global, wtm_rrd_global is called in
	49	! read_restart_data_mod now, marker * end wtm * was removed, strings and
	50	! their respective lengths are written out and read now in case of restart
	51	! runs to get rid of prescribed character lengths, CASE DEFAULT was added if
	52	! restart data is read
	53	!
	54	! 2885 2018-03-14 11:02:46Z Giersch
[2836]	55	! Bugfix in interpolation of lift and drag coefficients on fine grid of radius
	56	! segments and angles of attack, speed-up of the initialization of the wind
	57	! turbine model
	58	!
	59	! 2792 2018-02-07 06:45:29Z Giersch
[2792]	60	! omega_rot_l has to be calculated after determining the indices for the hub in
	61	! case of restart runs
	62	!
	63	! 2776 2018-01-31 10:44:42Z Giersch
[2776]	64	! wind_turbine_prerun flag is used to define if module
	65	! related parameters were outputted as restart data
	66	!
	67	! 2718 2018-01-02 08:49:38Z maronga
[2716]	68	! Corrected "Former revisions" section
	69	!
	70	! 2696 2017-12-14 17:12:51Z kanani
	71	! Change in file header (GPL part)
	72	!
	73	! 2669 2017-12-06 16:03:27Z raasch
[2669]	74	! filename of turbine output changed to WTM_OUTPUT_DATA. File extension now
	75	! includes the nest domain number. Turbine extension changed to "_T##"
	76	!
	77	! 2576 2017-10-24 13:49:46Z Giersch
[2894]	78	! Definition of a new function called wtm_skip_global to skip module
[2576]	79	! parameters during reading restart data
	80	!
	81	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	82	! Restart runs with wind turbine model are possible now. For this purpose, two
	83	! new subroutines wtm_write_restart_data and wtm_read_restart_data had to be
	84	! defined
	85	!
	86	! 2553 2017-10-18 08:03:45Z Giersch
[2553]	87	! Bugfix of vertical loop in wtm_tendencies to account for different turbine
	88	! heights, bugfix of the interpolation of the u-component concerning the
	89	! vertical index and further small adjustments of the programming style
	90	!
	91	! 2410 2017-09-06 08:16:30Z Giersch
[2410]	92	! Revise error message PA0462
	93	!
	94	! 2349 2017-08-10 15:44:04Z Giersch
[2349]	95	! Add parameter pitch_rate to namelist and revise/add error messages
	96	!
	97	! 2343 2017-08-08 11:28:43Z Giersch
[2341]	98	! Unit correction in Doxygen comments
[2323]	99	!
[2343]	100	! 2323 2017-07-26 12:57:38Z Giersch
	101	! Change unit number of file WTM_DATA from 201 to 90
	102	!
[2323]	103	! 2322 2017-07-26 08:30:28Z Giersch
[2322]	104	! Bugfix of error message and assign error numbers
	105	!
	106	! 2257 2017-06-07 14:07:05Z witha
[2257]	107	! Bugfix: turb_cl_tab and turb_cd_tab were set to zero before being allocated
[1844]	108	!
[2257]	109	! 2233 2017-05-30 18:08:54Z suehring
	110	!
[2233]	111	! 2232 2017-05-30 17:47:52Z suehring
	112	! Adjustments to new topography concept
	113	!
[2153]	114	! 2152 2017-02-17 13:27:24Z lvollmer
	115	! Bugfix in subroutine wtm_read_blade_tables
	116	! Addition of a tip loss model
	117	!
[2016]	118	! 2015 2016-09-28 08:45:18Z lvollmer
	119	! Bugfix of pitch control
	120	!
[2001]	121	! 2000 2016-08-20 18:09:15Z knoop
	122	! Forced header and separation lines into 80 columns
	123	!
[1930]	124	! 1929 2016-06-09 16:25:25Z suehring
	125	! Bugfix: added preprocessor directives for parallel and serial mode
	126	!
[1917]	127	! 1914 2016-05-26 14:44:07Z witha
[1821]	128	! Initial revision
	129	!
[1819]	130	!
	131	! Description:
	132	! ------------
	133	!> This module calculates the effect of wind turbines on the flow fields. The
	134	!> initial version contains only the advanced actuator disk with rotation method
	135	!> (ADM-R).
	136	!> The wind turbines include the tower effect, can be yawed and tilted.
	137	!> The wind turbine model includes controllers for rotational speed, pitch and
	138	!> yaw.
	139	!> Currently some specifications of the NREL 5 MW reference turbine
	140	!> are hardcoded whereas most input data comes from separate files (currently
	141	!> external, planned to be included as namelist which will be read in
	142	!> automatically).
	143	!>
[3065]	144	!> @todo Replace dz(1) appropriatly to account for grid stretching
[1819]	145	!> @todo Revise code according to PALM Coding Standard
	146	!> @todo Implement ADM and ALM turbine models
	147	!> @todo Generate header information
[1917]	148	!> @todo Implement further parameter checks and error messages
[1819]	149	!> @todo Revise and add code documentation
	150	!> @todo Output turbine parameters as timeseries
	151	!> @todo Include additional output variables
[1864]	152	!> @todo Revise smearing the forces for turbines in yaw
	153	!> @todo Revise nacelle and tower parameterization
	154	!> @todo Allow different turbine types in one simulation
[1819]	155	!
	156	!------------------------------------------------------------------------------!
	157	MODULE wind_turbine_model_mod
	158
	159	USE arrays_3d, &
[2553]	160	ONLY: tend, u, v, w, zu, zw
[1819]	161
[2553]	162	USE constants, &
	163	ONLY: pi
[1819]	164
	165	USE control_parameters, &
[2669]	166	ONLY: coupling_char, dt_3d, dz, message_string, simulated_time, &
[2894]	167	wind_turbine, initializing_actions
[1819]	168
	169	USE cpulog, &
	170	ONLY: cpu_log, log_point_s
	171
	172	USE grid_variables, &
	173	ONLY: ddx, dx, ddy, dy
	174
	175	USE indices, &
	176	ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nz, &
[2232]	177	nzb, nzt, wall_flags_0
[1819]	178
	179	USE kinds
	180
	181	USE pegrid
	182
	183
	184	IMPLICIT NONE
	185
[1864]	186	PRIVATE
[1819]	187
	188	!
	189	!-- Variables specified in the namelist wind_turbine_par
	190
[1864]	191	INTEGER(iwp) :: nairfoils = 8 !< number of airfoils of the used turbine model (for ADM-R and ALM)
[1839]	192	INTEGER(iwp) :: nturbines = 1 !< number of turbines
[1819]	193
[1839]	194	LOGICAL :: pitch_control = .FALSE. !< switch for use of pitch controller
	195	LOGICAL :: speed_control = .FALSE. !< switch for use of speed controller
	196	LOGICAL :: yaw_control = .FALSE. !< switch for use of yaw controller
[2152]	197	LOGICAL :: tl_cor = .FALSE. !< switch for use of tip loss correct.
[1819]	198
[1839]	199	REAL(wp) :: segment_length = 1.0_wp !< length of the segments, the rotor area is divided into
	200	!< (in tangential direction, as factor of MIN(dx,dy,dz))
	201	REAL(wp) :: segment_width = 0.5_wp !< width of the segments, the rotor area is divided into
	202	!< (in radial direction, as factor of MIN(dx,dy,dz))
	203	REAL(wp) :: time_turbine_on = 0.0_wp !< time at which turbines are started
	204	REAL(wp) :: tilt = 0.0_wp !< vertical tilt of the rotor [degree] ( positive = backwards )
[1819]	205
[1912]	206	REAL(wp), DIMENSION(1:100) :: dtow = 0.0_wp !< tower diameter [m]
[2553]	207	REAL(wp), DIMENSION(1:100) :: omega_rot = 0.9_wp !< inital or constant rotor speed [rad/s]
[1912]	208	REAL(wp), DIMENSION(1:100) :: phi_yaw = 0.0_wp !< yaw angle [degree] ( clockwise, 0 = facing west )
	209	REAL(wp), DIMENSION(1:100) :: pitch_add = 0.0_wp !< constant pitch angle
	210	REAL(wp), DIMENSION(1:100) :: rcx = 9999999.9_wp !< position of hub in x-direction
	211	REAL(wp), DIMENSION(1:100) :: rcy = 9999999.9_wp !< position of hub in y-direction
	212	REAL(wp), DIMENSION(1:100) :: rcz = 9999999.9_wp !< position of hub in z-direction
	213	REAL(wp), DIMENSION(1:100) :: rnac = 0.0_wp !< nacelle diameter [m]
	214	REAL(wp), DIMENSION(1:100) :: rr = 63.0_wp !< rotor radius [m]
	215	REAL(wp), DIMENSION(1:100) :: turb_cd_nacelle = 0.85_wp !< drag coefficient for nacelle
	216	REAL(wp), DIMENSION(1:100) :: turb_cd_tower = 1.2_wp !< drag coefficient for tower
[1839]	217
[1819]	218	!
	219	!-- Variables specified in the namelist for speed controller
	220	!-- Default values are from the NREL 5MW research turbine (Jonkman, 2008)
	221
[1912]	222	REAL(wp) :: rated_power = 5296610.0_wp !< rated turbine power [W]
[1839]	223	REAL(wp) :: gear_ratio = 97.0_wp !< Gear ratio from rotor to generator
[2341]	224	REAL(wp) :: inertia_rot = 34784179.0_wp !< Inertia of the rotor [kg*m2]
	225	REAL(wp) :: inertia_gen = 534.116_wp !< Inertia of the generator [kg*m2]
[1839]	226	REAL(wp) :: gen_eff = 0.944_wp !< Electric efficiency of the generator
	227	REAL(wp) :: gear_eff = 1.0_wp !< Loss between rotor and generator
	228	REAL(wp) :: air_dens = 1.225_wp !< Air density to convert to W [kg/m3]
	229	REAL(wp) :: rated_genspeed = 121.6805_wp !< Rated generator speed [rad/s]
[1912]	230	REAL(wp) :: max_torque_gen = 47402.91_wp !< Maximum of the generator torque [Nm]
[1839]	231	REAL(wp) :: slope2 = 2.332287_wp !< Slope constant for region 2
	232	REAL(wp) :: min_reg2 = 91.21091_wp !< Lower generator speed boundary of region 2 [rad/s]
	233	REAL(wp) :: min_reg15 = 70.16224_wp !< Lower generator speed boundary of region 1.5 [rad/s]
[1912]	234	REAL(wp) :: max_trq_rate = 15000.0_wp !< Max generator torque increase [Nm/s]
	235	REAL(wp) :: pitch_rate = 8.0_wp !< Max pitch rate [degree/s]
[1839]	236
[1912]	237
[1819]	238	!
	239	!-- Variables specified in the namelist for yaw control
	240
[1839]	241	REAL(wp) :: yaw_speed = 0.005236_wp !< speed of the yaw actuator [rad/s]
	242	REAL(wp) :: max_miss = 0.08726_wp !< maximum tolerated yaw missalignment [rad]
	243	REAL(wp) :: min_miss = 0.008726_wp !< minimum yaw missalignment for which the actuator stops [rad]
	244
[1819]	245	!
	246	!-- Set flag for output files TURBINE_PARAMETERS
	247	TYPE file_status
	248	LOGICAL :: opened, opened_before
	249	END TYPE file_status
	250
[1912]	251	TYPE(file_status), DIMENSION(500) :: openfile_turb_mod = &
	252	file_status(.FALSE.,.FALSE.)
[1819]	253
	254	!
	255	!-- Variables for initialization of the turbine model
	256
[1839]	257	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	258	INTEGER(iwp) :: nsegs_max !< maximum number of segments (all turbines, required for allocation of arrays)
	259	INTEGER(iwp) :: nrings_max !< maximum number of rings (all turbines, required for allocation of arrays)
	260	INTEGER(iwp) :: ring !< ring loop index (ring number)
	261	INTEGER(iwp) :: rr_int !<
	262	INTEGER(iwp) :: upper_end !<
[1819]	263
[1839]	264	INTEGER(iwp), DIMENSION(1) :: lct !<
[1819]	265
[1912]	266	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_hub !< index belonging to x-position of the turbine
	267	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_smear !< index defining the area for the smearing of the forces (x-direction)
	268	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_hub !< index belonging to y-position of the turbine
	269	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_smear !< index defining the area for the smearing of the forces (y-direction)
	270	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_hub !< index belonging to hub height
	271	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_smear !< index defining the area for the smearing of the forces (z-direction)
	272	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nrings !< number of rings per turbine
	273	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nsegs_total !< total number of segments per turbine
[1819]	274
[1912]	275	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nsegs !< number of segments per ring and turbine
[1819]	276
[1912]	277	!
	278	!- parameters for the smearing from the rotor to the cartesian grid
[1864]	279	REAL(wp) :: pol_a !< parameter for the polynomial smearing fct
	280	REAL(wp) :: pol_b !< parameter for the polynomial smearing fct
[1912]	281	REAL(wp) :: delta_t_factor !<
[1864]	282	REAL(wp) :: eps_factor !<
[1839]	283	REAL(wp) :: eps_min !<
	284	REAL(wp) :: eps_min2 !<
	285	REAL(wp) :: sqrt_arg !<
[1819]	286
[1839]	287	!
	288	!-- Variables for the calculation of lift and drag coefficients
[1912]	289	REAL(wp), DIMENSION(:), ALLOCATABLE :: ard !<
	290	REAL(wp), DIMENSION(:), ALLOCATABLE :: crd !<
	291	REAL(wp), DIMENSION(:), ALLOCATABLE :: delta_r !< radial segment length
	292	REAL(wp), DIMENSION(:), ALLOCATABLE :: lrd !<
[1864]	293
[1912]	294	REAL(wp) :: accu_cl_cd_tab = 0.1_wp !< Accuracy of the interpolation of
	295	!< the lift and drag coeff [deg]
[1819]	296
[1912]	297	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_tab !< table of the blade drag coefficient
	298	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_tab !< table of the blade lift coefficient
[1819]	299
[1912]	300	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: nac_cd_surf !< 3d field of the tower drag coefficient
	301	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: tow_cd_surf !< 3d field of the nacelle drag coefficient
[1819]	302
	303	!
	304	!-- Variables for the calculation of the forces
[1912]	305
[1839]	306	REAL(wp) :: cur_r !<
	307	REAL(wp) :: phi_rotor !<
	308	REAL(wp) :: pre_factor !<
	309	REAL(wp) :: torque_seg !<
	310	REAL(wp) :: u_int_l !<
	311	REAL(wp) :: u_int_u !<
	312	REAL(wp) :: u_rot !<
	313	REAL(wp) :: v_int_l !<
	314	REAL(wp) :: v_int_u !<
	315	REAL(wp) :: w_int_l !<
	316	REAL(wp) :: w_int_u !<
[1912]	317	!
	318	!- Tendencies from the nacelle and tower thrust
	319	REAL(wp) :: tend_nac_x = 0.0_wp !<
	320	REAL(wp) :: tend_tow_x = 0.0_wp !<
	321	REAL(wp) :: tend_nac_y = 0.0_wp !<
	322	REAL(wp) :: tend_tow_y = 0.0_wp !<
[1819]	323
[1912]	324	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack !<
	325	REAL(wp), DIMENSION(:), ALLOCATABLE :: chord !<
	326	REAL(wp), DIMENSION(:), ALLOCATABLE :: phi_rel !<
	327	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_total !<
	328	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_rotor !<
	329	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl !<
	330	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd !<
	331	REAL(wp), DIMENSION(:), ALLOCATABLE :: vrel !<
	332	REAL(wp), DIMENSION(:), ALLOCATABLE :: vtheta !<
	333
	334	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rbx, rby, rbz !< coordinates of the blade elements
	335	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rotx, roty, rotz !< normal vectors to the rotor coordinates
	336
	337	!
	338	!- Fields for the interpolation of velocities on the rotor grid
	339	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int !<
	340	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int_1_l !<
	341	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int !<
	342	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int_1_l !<
	343	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int !<
	344	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int_1_l !<
	345
	346	!
	347	!- rotor tendencies on the segments
	348	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_seg !<
	349	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_y !<
	350	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_z !<
	351
	352	!
	353	!- rotor tendencies on the rings
	354	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: thrust_ring !<
	355	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_y !<
	356	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_z !<
	357
	358	!
	359	!- rotor tendencies on rotor grids for all turbines
	360	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: thrust !<
	361	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_y !<
	362	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_z !<
	363
	364	!
	365	!- rotor tendencies on coordinate grid
	366	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_x !<
	367	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_y !<
	368	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_z !<
	369	!
	370	!- variables for the rotation of the rotor coordinates
	371	REAL(wp), DIMENSION(1:100,1:3,1:3) :: rot_coord_trans !< matrix for rotation of rotor coordinates
	372
[1839]	373	REAL(wp), DIMENSION(1:3) :: rot_eigen_rad !<
	374	REAL(wp), DIMENSION(1:3) :: rot_eigen_azi !<
	375	REAL(wp), DIMENSION(1:3) :: rot_eigen_nor !<
	376	REAL(wp), DIMENSION(1:3) :: re !<
	377	REAL(wp), DIMENSION(1:3) :: rea !<
	378	REAL(wp), DIMENSION(1:3) :: ren !<
	379	REAL(wp), DIMENSION(1:3) :: rote !<
	380	REAL(wp), DIMENSION(1:3) :: rota !<
	381	REAL(wp), DIMENSION(1:3) :: rotn !<
[1819]	382
[1839]	383	!
	384	!-- Fixed variables for the speed controller
[1819]	385
[1912]	386	LOGICAL :: start_up = .TRUE. !<
[1864]	387
[1912]	388	REAL(wp) :: Fcorner !< corner freq for the controller low pass filter
	389	REAL(wp) :: min_reg25 !< min region 2.5
	390	REAL(wp) :: om_rate !< rotor speed change
	391	REAL(wp) :: slope15 !< slope in region 1.5
	392	REAL(wp) :: slope25 !< slope in region 2.5
	393	REAL(wp) :: trq_rate !< torque change
	394	REAL(wp) :: vs_sysp !<
	395	REAL(wp) :: lp_coeff !< coeff for the controller low pass filter
[1819]	396
[1864]	397	REAL(wp), DIMENSION(100) :: omega_rot_l = 0.0_wp !< local rot speed [rad/s]
[2563]	398
[1839]	399	!
	400	!-- Fixed variables for the yaw controller
[1819]	401
[1912]	402	REAL(wp), DIMENSION(:) , ALLOCATABLE :: yawdir !< direction to yaw
	403	REAL(wp), DIMENSION(:) , ALLOCATABLE :: phi_yaw_l !< local (cpu) yaw angle
	404	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd30_l !< local (cpu) long running avg of the wd
	405	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd2_l !< local (cpu) short running avg of the wd
	406	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir !< wind direction at hub
	407	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow !< wind speed at hub
	408	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir_l !<
	409	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow_l !<
	410	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd30 !<
	411	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd2 !<
	412	LOGICAL, DIMENSION(1:100) :: doyaw = .FALSE. !<
	413	INTEGER(iwp) :: WDLON !<
	414	INTEGER(iwp) :: WDSHO !<
[1819]	415
[2563]	416	!
	417	!-- Variables that have to be saved in the binary file for restarts
	418	REAL(wp), DIMENSION(1:100) :: pitch_add_old = 0.0_wp !< old constant pitch angle
	419	REAL(wp), DIMENSION(1:100) :: omega_gen = 0.0_wp !< curr. generator speed
	420	REAL(wp), DIMENSION(1:100) :: omega_gen_f = 0.0_wp !< filtered generator speed
	421	REAL(wp), DIMENSION(1:100) :: omega_gen_old = 0.0_wp !< last generator speed
	422	REAL(wp), DIMENSION(1:100) :: omega_gen_f_old = 0.0_wp !< last filtered generator speed
	423	REAL(wp), DIMENSION(1:100) :: torque_gen = 0.0_wp !< generator torque
	424	REAL(wp), DIMENSION(1:100) :: torque_gen_old = 0.0_wp !< last generator torque
[1819]	425
[2563]	426
[1839]	427	SAVE
[1819]	428
[1839]	429
	430	INTERFACE wtm_parin
	431	MODULE PROCEDURE wtm_parin
	432	END INTERFACE wtm_parin
[2563]	433
[2894]	434	INTERFACE wtm_wrd_global
	435	MODULE PROCEDURE wtm_wrd_global
	436	END INTERFACE wtm_wrd_global
[2576]	437
[2894]	438	INTERFACE wtm_rrd_global
	439	MODULE PROCEDURE wtm_rrd_global
	440	END INTERFACE wtm_rrd_global
[1912]	441
	442	INTERFACE wtm_check_parameters
	443	MODULE PROCEDURE wtm_check_parameters
	444	END INTERFACE wtm_check_parameters
[1839]	445
	446	INTERFACE wtm_init_arrays
	447	MODULE PROCEDURE wtm_init_arrays
	448	END INTERFACE wtm_init_arrays
	449
	450	INTERFACE wtm_init
	451	MODULE PROCEDURE wtm_init
	452	END INTERFACE wtm_init
	453
[1912]	454	INTERFACE wtm_read_blade_tables
	455	MODULE PROCEDURE wtm_read_blade_tables
	456	END INTERFACE wtm_read_blade_tables
[1839]	457
[1819]	458	INTERFACE wtm_forces
	459	MODULE PROCEDURE wtm_forces
[2553]	460	END INTERFACE wtm_forces
	461
	462	INTERFACE wtm_yawcontrol
[1839]	463	MODULE PROCEDURE wtm_yawcontrol
[2553]	464	END INTERFACE wtm_yawcontrol
[1864]	465
	466	INTERFACE wtm_rotate_rotor
	467	MODULE PROCEDURE wtm_rotate_rotor
	468	END INTERFACE wtm_rotate_rotor
	469
	470	INTERFACE wtm_speed_control
	471	MODULE PROCEDURE wtm_init_speed_control
	472	MODULE PROCEDURE wtm_speed_control
	473	END INTERFACE wtm_speed_control
[1819]	474
	475	INTERFACE wtm_tendencies
	476	MODULE PROCEDURE wtm_tendencies
	477	MODULE PROCEDURE wtm_tendencies_ij
	478	END INTERFACE wtm_tendencies
[1864]	479
	480
[1912]	481	PUBLIC wtm_check_parameters, wtm_forces, wtm_init, wtm_init_arrays, &
[2894]	482	wtm_parin, wtm_wrd_global, wtm_rrd_global, wtm_tendencies
[1819]	483
[2563]	484
[1819]	485	CONTAINS
	486
	487
	488	!------------------------------------------------------------------------------!
	489	! Description:
	490	! ------------
[1839]	491	!> Parin for &wind_turbine_par for wind turbine model
[1819]	492	!------------------------------------------------------------------------------!
[1839]	493	SUBROUTINE wtm_parin
[1819]	494
	495
	496	IMPLICIT NONE
[1912]	497
	498	INTEGER(iwp) :: ierrn !<
[1819]	499
[1839]	500	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	501
	502	NAMELIST /wind_turbine_par/ air_dens, dtow, gear_eff, gear_ratio, &
[1864]	503	gen_eff, inertia_gen, inertia_rot, max_miss, &
[1839]	504	max_torque_gen, max_trq_rate, min_miss, &
[1864]	505	min_reg15, min_reg2, nairfoils, nturbines, &
[1912]	506	omega_rot, phi_yaw, pitch_add, pitch_control,&
[1839]	507	rated_genspeed, rated_power, rcx, rcy, rcz, &
	508	rnac, rr, segment_length, segment_width, &
[1864]	509	slope2, speed_control, tilt, time_turbine_on,&
[2349]	510	turb_cd_nacelle, turb_cd_tower, pitch_rate, &
[2152]	511	yaw_control, yaw_speed, tl_cor
[2932]	512
	513	NAMELIST /wind_turbine_parameters/ &
	514	air_dens, dtow, gear_eff, gear_ratio, &
	515	gen_eff, inertia_gen, inertia_rot, max_miss, &
	516	max_torque_gen, max_trq_rate, min_miss, &
	517	min_reg15, min_reg2, nairfoils, nturbines, &
	518	omega_rot, phi_yaw, pitch_add, pitch_control,&
	519	rated_genspeed, rated_power, rcx, rcy, rcz, &
	520	rnac, rr, segment_length, segment_width, &
	521	slope2, speed_control, tilt, time_turbine_on,&
	522	turb_cd_nacelle, turb_cd_tower, pitch_rate, &
	523	yaw_control, yaw_speed, tl_cor
[1819]	524	!
[1839]	525	!-- Try to find wind turbine model package
	526	REWIND ( 11 )
	527	line = ' '
[2932]	528	DO WHILE ( INDEX( line, '&wind_turbine_parameters' ) == 0 )
[1839]	529	READ ( 11, '(A)', END=10 ) line
	530	ENDDO
	531	BACKSPACE ( 11 )
	532
	533	!
	534	!-- Read user-defined namelist
[2932]	535	READ ( 11, wind_turbine_parameters, IOSTAT=ierrn )
	536
	537	IF ( ierrn < 0 ) THEN
	538	message_string = 'no wind_turbine_parameters-NAMELIST found: ' // &
	539	'End of file has reached'
	540	CALL message( 'wtm_parin', 'PA0460', 1, 2, 0, 6, 0 )
	541	ELSEIF ( ierrn > 0 ) THEN
	542	message_string = 'errors in wind_turbine_parameters-NAMELIST: ' // &
	543	'some variables for steering may not be properly set'
	544	CALL message( 'wtm_parin', 'PA0466', 1, 2, 0, 6, 0 )
	545	ENDIF
	546
	547	!
	548	!-- Set flag that indicates that the wind turbine model is switched on
	549	wind_turbine = .TRUE.
	550
	551	GOTO 12
	552
	553	!
	554	!-- Try to find wind turbine model package
	555	10 REWIND ( 11 )
	556	line = ' '
	557	DO WHILE ( INDEX( line, '&wind_turbine_par' ) == 0 )
	558	READ ( 11, '(A)', END=12 ) line
	559	ENDDO
	560	BACKSPACE ( 11 )
	561
	562	!
	563	!-- Read user-defined namelist
[1912]	564	READ ( 11, wind_turbine_par, IOSTAT=ierrn )
[2349]	565
[1912]	566	IF ( ierrn < 0 ) THEN
[2349]	567	message_string = 'no wind_turbine_par-NAMELIST found: ' // &
	568	'End of file has reached'
[2322]	569	CALL message( 'wtm_parin', 'PA0460', 1, 2, 0, 6, 0 )
[2349]	570	ELSEIF ( ierrn > 0 ) THEN
[2932]	571	message_string = 'errors in wind_turbine_par-NAMELIST: ' // &
[2349]	572	'some variables for steering may not be properly set'
	573	CALL message( 'wtm_parin', 'PA0466', 1, 2, 0, 6, 0 )
[1912]	574	ENDIF
[2932]	575
	576	message_string = 'namelist wind_tubrine_par is deprecated and will ' // &
[3046]	577	'be removed in near future. &Please use namelist ' // &
[2932]	578	'wind_turbine_parameters instead'
	579	CALL message( 'wtm_parin', 'PA0487', 0, 1, 0, 6, 0 )
	580
[1839]	581	!
	582	!-- Set flag that indicates that the wind turbine model is switched on
	583	wind_turbine = .TRUE.
	584
[2932]	585	12 CONTINUE ! TBD Change from continue, mit ierrn machen
[2563]	586
[1839]	587
	588	END SUBROUTINE wtm_parin
	589
[2563]	590
	591	!------------------------------------------------------------------------------!
	592	! Description:
	593	! ------------
[2894]	594	!> This routine writes the respective restart data.
[2576]	595	!------------------------------------------------------------------------------!
[2894]	596	SUBROUTINE wtm_wrd_global
[2576]	597
	598
[2563]	599	IMPLICIT NONE
[2776]	600
[2563]	601
[2894]	602	CALL wrd_write_string( 'omega_gen' )
[2563]	603	WRITE ( 14 ) omega_gen
[2894]	604
	605	CALL wrd_write_string( 'omega_gen_f' )
[2563]	606	WRITE ( 14 ) omega_gen_f
[2894]	607
	608	CALL wrd_write_string( 'omega_gen_f_old' )
[2563]	609	WRITE ( 14 ) omega_gen_f_old
[2894]	610
	611	CALL wrd_write_string( 'omega_gen_old' )
[2563]	612	WRITE ( 14 ) omega_gen_old
[2894]	613
	614	CALL wrd_write_string( 'omega_rot' )
[2563]	615	WRITE ( 14 ) omega_rot
[2894]	616
	617	CALL wrd_write_string( 'phi_yaw' )
	618	WRITE ( 14 ) phi_yaw
	619
	620	CALL wrd_write_string( 'pitch_add' )
[2563]	621	WRITE ( 14 ) pitch_add
[2894]	622
	623	CALL wrd_write_string( 'pitch_add_old' )
[2563]	624	WRITE ( 14 ) pitch_add_old
[2894]	625
	626	CALL wrd_write_string( 'torque_gen' )
[2563]	627	WRITE ( 14 ) torque_gen
[2894]	628
	629	CALL wrd_write_string( 'torque_gen_old' )
[2563]	630	WRITE ( 14 ) torque_gen_old
[2894]	631
[2563]	632
[2894]	633	END SUBROUTINE wtm_wrd_global
[2563]	634
	635
	636	!------------------------------------------------------------------------------!
	637	! Description:
	638	! ------------
	639	!> This routine reads the respective restart data.
	640	!------------------------------------------------------------------------------!
[2894]	641	SUBROUTINE wtm_rrd_global( found )
[2563]	642
	643
[2894]	644	USE control_parameters, &
	645	ONLY: length, restart_string
	646
	647
[2563]	648	IMPLICIT NONE
	649
[2894]	650	LOGICAL, INTENT(OUT) :: found
[2563]	651
	652
[2894]	653	found = .TRUE.
[2563]	654
	655
[2894]	656	SELECT CASE ( restart_string(1:length) )
[2563]	657
[2894]	658	CASE ( 'omega_gen' )
	659	READ ( 13 ) omega_gen
	660	CASE ( 'omega_gen_f' )
	661	READ ( 13 ) omega_gen_f
	662	CASE ( 'omega_gen_f_old' )
	663	READ ( 13 ) omega_gen_f_old
	664	CASE ( 'omega_gen_old' )
	665	READ ( 13 ) omega_gen_old
	666	CASE ( 'omega_rot' )
	667	READ ( 13 ) omega_rot
	668	CASE ( 'phi_yaw' )
	669	READ ( 13 ) phi_yaw
	670	CASE ( 'pitch_add' )
	671	READ ( 13 ) pitch_add
	672	CASE ( 'pitch_add_old' )
	673	READ ( 13 ) pitch_add_old
	674	CASE ( 'torque_gen' )
	675	READ ( 13 ) torque_gen
	676	CASE ( 'torque_gen_old' )
	677	READ ( 13 ) torque_gen_old
[2563]	678
[2894]	679	CASE DEFAULT
[2563]	680
[2894]	681	found = .FALSE.
[2563]	682
[2894]	683	END SELECT
	684
[2563]	685
[2894]	686	END SUBROUTINE wtm_rrd_global
	687
	688
[2563]	689	!------------------------------------------------------------------------------!
	690	! Description:
	691	! ------------
	692	!> Check namelist parameter
	693	!------------------------------------------------------------------------------!
[1912]	694	SUBROUTINE wtm_check_parameters
	695
	696
	697	IMPLICIT NONE
	698
	699	IF ( ( .NOT.speed_control ) .AND. pitch_control ) THEN
	700	message_string = 'pitch_control = .TRUE. requires '// &
	701	'speed_control = .TRUE.'
[2322]	702	CALL message( 'wtm_check_parameters', 'PA0461', 1, 2, 0, 6, 0 )
[1912]	703	ENDIF
	704
[2322]	705	IF ( ANY( omega_rot(1:nturbines) < 0.0 ) ) THEN
	706	message_string = 'omega_rot < 0.0, Please set omega_rot to ' // &
[2792]	707	'a value equal or larger than zero'
[2322]	708	CALL message( 'wtm_check_parameters', 'PA0462', 1, 2, 0, 6, 0 )
[1912]	709	ENDIF
	710
	711
	712	IF ( ANY( rcx(1:nturbines) == 9999999.9_wp ) .OR. &
	713	ANY( rcy(1:nturbines) == 9999999.9_wp ) .OR. &
	714	ANY( rcz(1:nturbines) == 9999999.9_wp ) ) THEN
	715
	716	message_string = 'rcx, rcy, rcz ' // &
	717	'have to be given for each turbine.'
[2322]	718	CALL message( 'wtm_check_parameters', 'PA0463', 1, 2, 0, 6, 0 )
[1912]	719
	720	ENDIF
	721
	722
	723	END SUBROUTINE wtm_check_parameters
	724
	725
[1839]	726	!------------------------------------------------------------------------------!
	727	! Description:
	728	! ------------
	729	!> Allocate wind turbine model arrays
	730	!------------------------------------------------------------------------------!
	731	SUBROUTINE wtm_init_arrays
	732
	733
	734	IMPLICIT NONE
	735
[1864]	736	REAL(wp) :: delta_r_factor !<
	737	REAL(wp) :: delta_r_init !<
	738
[1839]	739	!
	740	!-- To be able to allocate arrays with dimension of rotor rings and segments,
[1819]	741	!-- the maximum possible numbers of rings and segments have to be calculated:
	742
	743	ALLOCATE( nrings(1:nturbines) )
	744	ALLOCATE( delta_r(1:nturbines) )
	745
	746	nrings(:) = 0
	747	delta_r(:) = 0.0_wp
	748
	749	!
	750	!-- Thickness (radial) of each ring and length (tangential) of each segment:
	751	delta_r_factor = segment_width
	752	delta_t_factor = segment_length
[3065]	753	delta_r_init = delta_r_factor * MIN( dx, dy, dz(1))
[1819]	754
	755	DO inot = 1, nturbines
	756	!
	757	!-- Determine number of rings:
	758	nrings(inot) = NINT( rr(inot) / delta_r_init )
	759
	760	delta_r(inot) = rr(inot) / nrings(inot)
	761
	762	ENDDO
	763
	764	nrings_max = MAXVAL(nrings)
	765
	766	ALLOCATE( nsegs(1:nrings_max,1:nturbines) )
	767	ALLOCATE( nsegs_total(1:nturbines) )
	768
	769	nsegs(:,:) = 0
	770	nsegs_total(:) = 0
	771
	772
	773	DO inot = 1, nturbines
	774	DO ring = 1, nrings(inot)
	775	!
	776	!-- Determine number of segments for each ring:
[1839]	777	nsegs(ring,inot) = MAX( 8, CEILING( delta_r_factor * pi * &
	778	( 2.0_wp * ring - 1.0_wp ) / &
	779	delta_t_factor ) )
[1819]	780	ENDDO
	781	!
	782	!-- Total sum of all rotor segments:
[1839]	783	nsegs_total(inot) = SUM( nsegs(:,inot) )
[1819]	784
	785	ENDDO
	786
	787	!
	788	!-- Maximum number of segments per ring:
	789	nsegs_max = MAXVAL(nsegs)
	790
[1864]	791	!!
	792	!!-- TODO: Folgendes im Header ausgeben!
	793	! IF ( myid == 0 ) THEN
	794	! PRINT*, 'nrings(1) = ', nrings(1)
	795	! PRINT*, '--------------------------------------------------'
	796	! PRINT*, 'nsegs(:,1) = ', nsegs(:,1)
	797	! PRINT*, '--------------------------------------------------'
	798	! PRINT*, 'nrings_max = ', nrings_max
	799	! PRINT*, 'nsegs_max = ', nsegs_max
	800	! PRINT*, 'nsegs_total(1) = ', nsegs_total(1)
	801	! ENDIF
[1819]	802
	803
	804	!
	805	!-- Allocate 1D arrays (dimension = number of turbines)
	806	ALLOCATE( i_hub(1:nturbines) )
	807	ALLOCATE( i_smear(1:nturbines) )
	808	ALLOCATE( j_hub(1:nturbines) )
	809	ALLOCATE( j_smear(1:nturbines) )
	810	ALLOCATE( k_hub(1:nturbines) )
	811	ALLOCATE( k_smear(1:nturbines) )
	812	ALLOCATE( torque_total(1:nturbines) )
[1912]	813	ALLOCATE( thrust_rotor(1:nturbines) )
[1819]	814
	815	!
	816	!-- Allocation of the 1D arrays for yaw control
	817	ALLOCATE( yawdir(1:nturbines) )
	818	ALLOCATE( u_inflow(1:nturbines) )
	819	ALLOCATE( wdir(1:nturbines) )
	820	ALLOCATE( u_inflow_l(1:nturbines) )
	821	ALLOCATE( wdir_l(1:nturbines) )
	822	ALLOCATE( phi_yaw_l(1:nturbines) )
	823
	824	!
	825	!-- Allocate 1D arrays (dimension = number of rotor segments)
	826	ALLOCATE( alpha_attack(1:nsegs_max) )
	827	ALLOCATE( chord(1:nsegs_max) )
	828	ALLOCATE( phi_rel(1:nsegs_max) )
	829	ALLOCATE( thrust_seg(1:nsegs_max) )
	830	ALLOCATE( torque_seg_y(1:nsegs_max) )
	831	ALLOCATE( torque_seg_z(1:nsegs_max) )
[1839]	832	ALLOCATE( turb_cd(1:nsegs_max) )
	833	ALLOCATE( turb_cl(1:nsegs_max) )
[1819]	834	ALLOCATE( vrel(1:nsegs_max) )
	835	ALLOCATE( vtheta(1:nsegs_max) )
	836
	837	!
	838	!-- Allocate 2D arrays (dimension = number of rotor rings and segments)
	839	ALLOCATE( rbx(1:nrings_max,1:nsegs_max) )
	840	ALLOCATE( rby(1:nrings_max,1:nsegs_max) )
	841	ALLOCATE( rbz(1:nrings_max,1:nsegs_max) )
	842	ALLOCATE( thrust_ring(1:nrings_max,1:nsegs_max) )
	843	ALLOCATE( torque_ring_y(1:nrings_max,1:nsegs_max) )
	844	ALLOCATE( torque_ring_z(1:nrings_max,1:nsegs_max) )
	845
	846	!
	847	!-- Allocate additional 2D arrays
	848	ALLOCATE( rotx(1:nturbines,1:3) )
	849	ALLOCATE( roty(1:nturbines,1:3) )
	850	ALLOCATE( rotz(1:nturbines,1:3) )
	851
	852	!
	853	!-- Allocate 3D arrays (dimension = number of grid points)
[1912]	854	ALLOCATE( nac_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	855	ALLOCATE( rot_tend_x(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	856	ALLOCATE( rot_tend_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	857	ALLOCATE( rot_tend_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	858	ALLOCATE( thrust(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	859	ALLOCATE( torque_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	860	ALLOCATE( torque_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1912]	861	ALLOCATE( tow_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	862
	863	!
	864	!-- Allocate additional 3D arrays
	865	ALLOCATE( u_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	866	ALLOCATE( u_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	867	ALLOCATE( v_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	868	ALLOCATE( v_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	869	ALLOCATE( w_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	870	ALLOCATE( w_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	871
	872	!
	873	!-- All of the arrays are initialized with a value of zero:
	874	i_hub(:) = 0
	875	i_smear(:) = 0
	876	j_hub(:) = 0
	877	j_smear(:) = 0
	878	k_hub(:) = 0
	879	k_smear(:) = 0
[1912]	880
[1819]	881	torque_total(:) = 0.0_wp
[1912]	882	thrust_rotor(:) = 0.0_wp
[1819]	883
[2563]	884	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	885	omega_gen(:) = 0.0_wp
	886	omega_gen_old(:) = 0.0_wp
	887	omega_gen_f(:) = 0.0_wp
	888	omega_gen_f_old(:) = 0.0_wp
	889	pitch_add_old(:) = 0.0_wp
	890	torque_gen(:) = 0.0_wp
	891	torque_gen_old(:) = 0.0_wp
	892	ENDIF
	893
[1819]	894	yawdir(:) = 0.0_wp
[3069]	895	wdir_l(:) = 0.0_wp
[1819]	896	wdir(:) = 0.0_wp
	897	u_inflow(:) = 0.0_wp
[3069]	898	u_inflow_l(:) = 0.0_wp
	899	phi_yaw_l(:) = 0.0_wp
[1819]	900
	901	!
	902	!-- Allocate 1D arrays (dimension = number of rotor segments)
	903	alpha_attack(:) = 0.0_wp
	904	chord(:) = 0.0_wp
	905	phi_rel(:) = 0.0_wp
	906	thrust_seg(:) = 0.0_wp
	907	torque_seg_y(:) = 0.0_wp
	908	torque_seg_z(:) = 0.0_wp
[1864]	909	turb_cd(:) = 0.0_wp
	910	turb_cl(:) = 0.0_wp
[1819]	911	vrel(:) = 0.0_wp
	912	vtheta(:) = 0.0_wp
	913
	914	rbx(:,:) = 0.0_wp
	915	rby(:,:) = 0.0_wp
	916	rbz(:,:) = 0.0_wp
	917	thrust_ring(:,:) = 0.0_wp
	918	torque_ring_y(:,:) = 0.0_wp
	919	torque_ring_z(:,:) = 0.0_wp
	920
	921	rotx(:,:) = 0.0_wp
	922	roty(:,:) = 0.0_wp
	923	rotz(:,:) = 0.0_wp
	924
[1912]	925	nac_cd_surf(:,:,:) = 0.0_wp
	926	rot_tend_x(:,:,:) = 0.0_wp
	927	rot_tend_y(:,:,:) = 0.0_wp
	928	rot_tend_z(:,:,:) = 0.0_wp
[1819]	929	thrust(:,:,:) = 0.0_wp
	930	torque_y(:,:,:) = 0.0_wp
	931	torque_z(:,:,:) = 0.0_wp
[1912]	932	tow_cd_surf(:,:,:) = 0.0_wp
[1819]	933
	934	u_int(:,:,:) = 0.0_wp
	935	u_int_1_l(:,:,:) = 0.0_wp
	936	v_int(:,:,:) = 0.0_wp
	937	v_int_1_l(:,:,:) = 0.0_wp
	938	w_int(:,:,:) = 0.0_wp
	939	w_int_1_l(:,:,:) = 0.0_wp
	940
	941
[1839]	942	END SUBROUTINE wtm_init_arrays
[1819]	943
	944
	945	!------------------------------------------------------------------------------!
	946	! Description:
	947	! ------------
[1839]	948	!> Initialization of the wind turbine model
[1819]	949	!------------------------------------------------------------------------------!
[1839]	950	SUBROUTINE wtm_init
[1819]	951
[1839]	952
[3065]	953	USE control_parameters, &
	954	ONLY: dz_stretch_level_start
	955
[1819]	956	IMPLICIT NONE
	957
	958	INTEGER(iwp) :: i !< running index
	959	INTEGER(iwp) :: j !< running index
	960	INTEGER(iwp) :: k !< running index
[1864]	961
[1819]	962	!
[1864]	963	!-- Help variables for the smearing function
	964	REAL(wp) :: eps_kernel !<
	965
[1839]	966	!
[1864]	967	!-- Help variables for calculation of the tower drag
	968	INTEGER(iwp) :: tower_n !<
	969	INTEGER(iwp) :: tower_s !<
[1839]	970	!
[1864]	971	!-- Help variables for the calulaction of the nacelle drag
	972	INTEGER(iwp) :: i_ip !<
	973	INTEGER(iwp) :: i_ipg !<
	974
	975	REAL(wp) :: yvalue
	976	REAL(wp) :: dy_int !<
	977	REAL(wp) :: dz_int !<
	978
	979	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: circle_points !<
	980
	981	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacb !<
	982	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacl !<
	983	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacr !<
	984	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nact !<
	985
	986	ALLOCATE( index_nacb(1:nturbines) )
	987	ALLOCATE( index_nacl(1:nturbines) )
	988	ALLOCATE( index_nacr(1:nturbines) )
	989	ALLOCATE( index_nact(1:nturbines) )
[1819]	990
[1839]	991	!
[1819]	992	!------------------------------------------------------------------------------!
[1839]	993	!-- Calculation of parameters for the regularization kernel
	994	!-- (smearing of the forces)
[1819]	995	!------------------------------------------------------------------------------!
	996	!
[1839]	997	!-- In the following, some of the required parameters for the smearing will
	998	!-- be calculated:
[1819]	999
[1839]	1000	!-- The kernel is set equal to twice the grid spacing which has turned out to
	1001	!-- be a reasonable value (see e.g. Troldborg et al. (2013), Wind Energy,
[1819]	1002	!-- DOI: 10.1002/we.1608):
	1003	eps_kernel = 2.0_wp * dx
	1004	!
[1839]	1005	!-- The zero point (eps_min) of the polynomial function must be the following
	1006	!-- if the integral of the polynomial function (for values < eps_min) shall
	1007	!-- be equal to the integral of the Gaussian function used before:
	1008	eps_min = ( 105.0_wp / 32.0_wp )*( 1.0_wp / 3.0_wp ) &
	1009	pi*( 1.0_wp / 6.0_wp ) eps_kernel
[1819]	1010	!
[3065]	1011	!-- Stretching (non-uniform grid spacing) is not considered in the wind
	1012	!-- turbine model. Therefore, vertical stretching has to be applied above
	1013	!-- the area where the wtm is active. ABS (...) is required because the
	1014	!-- default value of dz_stretch_level_start is -9999999.9_wp (negative).
	1015	IF ( ABS( dz_stretch_level_start(1) ) <= MAXVAL(rcz) + MAXVAL(rr) + &
	1016	eps_min) THEN
	1017	WRITE( message_string, * ) 'The lowest level where vertical ', &
	1018	'stretching is applied &have to be ', &
	1019	'greater than ', MAXVAL(rcz) + &
	1020	MAXVAL(rr) + eps_min
[3066]	1021	CALL message( 'wtm_init', 'PA0484', 1, 2, 0, 6, 0 )
[3065]	1022	ENDIF
	1023	!
[1819]	1024	!-- Square of eps_min:
	1025	eps_min2 = eps_min**2
	1026	!
	1027	!-- Parameters in the polynomial function:
[1864]	1028	pol_a = 1.0_wp / eps_min**4
	1029	pol_b = 2.0_wp / eps_min**2
[1819]	1030	!
[1839]	1031	!-- Normalization factor which is the inverse of the integral of the smearing
	1032	!-- function:
	1033	eps_factor = 105.0_wp / ( 32.0_wp * pi * eps_min**3 )
	1034
[1864]	1035	!-- Change tilt angle to rad:
	1036	tilt = tilt * pi / 180.0_wp
	1037
[1819]	1038	!
[1864]	1039	!-- Change yaw angle to rad:
[2563]	1040	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	1041	phi_yaw(:) = phi_yaw(:) * pi / 180.0_wp
	1042	ENDIF
[1819]	1043
[1864]	1044
[1819]	1045	DO inot = 1, nturbines
	1046	!
[1864]	1047	!-- Rotate the rotor coordinates in case yaw and tilt are defined
	1048	CALL wtm_rotate_rotor( inot )
[1819]	1049
	1050	!
	1051	!-- Determine the indices of the hub height
	1052	i_hub(inot) = INT( rcx(inot) / dx )
	1053	j_hub(inot) = INT( ( rcy(inot) + 0.5_wp * dy ) / dy )
[3065]	1054	k_hub(inot) = INT( ( rcz(inot) + 0.5_wp * dz(1) ) / dz(1) )
[1819]	1055
	1056	!
	1057	!-- Determining the area to which the smearing of the forces is applied.
[1839]	1058	!-- As smearing now is effectively applied only for distances smaller than
	1059	!-- eps_min, the smearing area can be further limited and regarded as a
	1060	!-- function of eps_min:
[1819]	1061	i_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dx )
	1062	j_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dy )
[3065]	1063	k_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dz(1) )
[1864]	1064
[1819]	1065	ENDDO
	1066
	1067	!
[2792]	1068	!-- Call the wtm_init_speed_control subroutine and calculate the local
	1069	!-- omega_rot for the respective processor.
	1070	IF ( speed_control) THEN
	1071
	1072	CALL wtm_speed_control
	1073
	1074	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
	1075
	1076	DO inot = 1, nturbines
	1077
	1078	IF ( nxl > i_hub(inot) ) THEN
	1079	torque_gen(inot) = 0.0_wp
	1080	omega_gen_f(inot) = 0.0_wp
	1081	omega_rot_l(inot) = 0.0_wp
	1082	ENDIF
	1083
	1084	IF ( nxr < i_hub(inot) ) THEN
	1085	torque_gen(inot) = 0.0_wp
	1086	omega_gen_f(inot) = 0.0_wp
	1087	omega_rot_l(inot) = 0.0_wp
	1088	ENDIF
	1089
	1090	IF ( nys > j_hub(inot) ) THEN
	1091	torque_gen(inot) = 0.0_wp
	1092	omega_gen_f(inot) = 0.0_wp
	1093	omega_rot_l(inot) = 0.0_wp
	1094	ENDIF
	1095
	1096	IF ( nyn < j_hub(inot) ) THEN
	1097	torque_gen(inot) = 0.0_wp
	1098	omega_gen_f(inot) = 0.0_wp
	1099	omega_rot_l(inot) = 0.0_wp
	1100	ENDIF
	1101
	1102	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) THEN
	1103	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) ) THEN
	1104
	1105	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
	1106
	1107	ENDIF
	1108	ENDIF
	1109
	1110	END DO
	1111
	1112	ENDIF
	1113
	1114	ENDIF
	1115
	1116	!
[1819]	1117	!------------------------------------------------------------------------------!
[1839]	1118	!-- Determine the area within each grid cell that overlaps with the area
	1119	!-- of the nacelle and the tower (needed for calculation of the forces)
[1819]	1120	!------------------------------------------------------------------------------!
	1121	!
	1122	!-- Note: so far this is only a 2D version, in that the mean flow is
	1123	!-- perpendicular to the rotor area.
	1124
	1125	!
	1126	!-- Allocation of the array containing information on the intersection points
	1127	!-- between rotor disk and the numerical grid:
	1128	upper_end = ( ny + 1 ) * 10000
	1129
	1130	ALLOCATE( circle_points(1:2,1:upper_end) )
[1839]	1131
	1132	circle_points(:,:) = 0.0_wp
[1819]	1133
[1839]	1134
	1135	DO inot = 1, nturbines ! loop over number of turbines
[1819]	1136	!
[1839]	1137	!-- Determine the grid index (u-grid) that corresponds to the location of
	1138	!-- the rotor center (reduces the amount of calculations in the case that
	1139	!-- the mean flow is perpendicular to the rotor area):
[1819]	1140	i = i_hub(inot)
	1141
	1142	!
[1839]	1143	!-- Determine the left and the right edge of the nacelle (corresponding
	1144	!-- grid point indices):
[1819]	1145	index_nacl(inot) = INT( ( rcy(inot) - rnac(inot) + 0.5_wp * dy ) / dy )
	1146	index_nacr(inot) = INT( ( rcy(inot) + rnac(inot) + 0.5_wp * dy ) / dy )
	1147	!
[1839]	1148	!-- Determine the bottom and the top edge of the nacelle (corresponding
	1149	!-- grid point indices).The grid point index has to be increased by 1, as
	1150	!-- the first level for the u-component (index 0) is situated below the
	1151	!-- surface. All points between z=0 and z=dz/s would already be contained
	1152	!-- in grid box 1.
[3065]	1153	index_nacb(inot) = INT( ( rcz(inot) - rnac(inot) ) / dz(1) ) + 1
	1154	index_nact(inot) = INT( ( rcz(inot) + rnac(inot) ) / dz(1) ) + 1
[1819]	1155
	1156	!
	1157	!-- Determine the indices of the grid boxes containing the left and
[1864]	1158	!-- the right boundaries of the tower:
[1819]	1159	tower_n = ( rcy(inot) + 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	1160	tower_s = ( rcy(inot) - 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	1161
	1162	!
	1163	!-- Determine the fraction of the grid box area overlapping with the tower
[1864]	1164	!-- area and multiply it with the drag of the tower:
[1839]	1165	IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1819]	1166
	1167	DO j = nys, nyn
	1168	!
[1839]	1169	!-- Loop from south to north boundary of tower
	1170	IF ( ( j >= tower_s ) .AND. ( j <= tower_n ) ) THEN
	1171
[1819]	1172	DO k = nzb, nzt
	1173
	1174	IF ( k == k_hub(inot) ) THEN
	1175	IF ( tower_n - tower_s >= 1 ) THEN
[1839]	1176	!
[1819]	1177	!-- leftmost and rightmost grid box:
	1178	IF ( j == tower_s ) THEN
[1912]	1179	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1180	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*& ! extension in z-direction
[1912]	1181	( ( tower_s + 1.0_wp + 0.5_wp ) * dy - &
	1182	( rcy(inot) - 0.5_wp * dtow(inot) ) ) * & ! extension in y-direction
	1183	turb_cd_tower(inot)
[1819]	1184	ELSEIF ( j == tower_n ) THEN
[1912]	1185	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1186	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*& ! extension in z-direction
[1912]	1187	( ( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	1188	( tower_n + 0.5_wp ) * dy ) * & ! extension in y-direction
	1189	turb_cd_tower(inot)
[1819]	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) = ( rcz(inot) - &
[3065]	1195	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*&
[1912]	1196	dy * turb_cd_tower(inot)
[1819]	1197	ENDIF
	1198	!
	1199	!-- tower lies completely within one grid box:
	1200	ELSE
[3065]	1201	tow_cd_surf(k,j,i) = ( rcz(inot) - ( k_hub(inot) * &
	1202	dz(1) - 0.5_wp * dz(1) ) ) * &
[1912]	1203	dtow(inot) * turb_cd_tower(inot)
[1819]	1204	ENDIF
[1839]	1205	!
	1206	!-- In case that k is smaller than k_hub the following actions
	1207	!-- are carried out:
[1819]	1208	ELSEIF ( k < k_hub(inot) ) THEN
	1209
[1839]	1210	IF ( ( tower_n - tower_s ) >= 1 ) THEN
	1211	!
[1819]	1212	!-- leftmost and rightmost grid box:
	1213	IF ( j == tower_s ) THEN
[3065]	1214	tow_cd_surf(k,j,i) = dz(1) * ( &
[1839]	1215	( tower_s + 1 + 0.5_wp ) * dy - &
	1216	( rcy(inot) - 0.5_wp * dtow(inot) ) &
[1912]	1217	) * turb_cd_tower(inot)
[1819]	1218	ELSEIF ( j == tower_n ) THEN
[3065]	1219	tow_cd_surf(k,j,i) = dz(1) * ( &
[1839]	1220	( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	1221	( tower_n + 0.5_wp ) * dy &
[1912]	1222	) * turb_cd_tower(inot)
[1839]	1223	!
	1224	!-- grid boxes inbetween
[1912]	1225	!-- (where tow_cd_surf = grid box area):
[1819]	1226	ELSE
[3065]	1227	tow_cd_surf(k,j,i) = dz(1) * dy * &
	1228	turb_cd_tower(inot)
[1819]	1229	ENDIF
[1839]	1230	!
[1819]	1231	!-- tower lies completely within one grid box:
	1232	ELSE
[3065]	1233	tow_cd_surf(k,j,i) = dz(1) * dtow(inot) * &
[1912]	1234	turb_cd_tower(inot)
[1839]	1235	ENDIF ! end if larger than grid box
	1236
	1237	ENDIF ! end if k == k_hub
	1238
	1239	ENDDO ! end loop over k
	1240
	1241	ENDIF ! end if inside north and south boundary of tower
	1242
	1243	ENDDO ! end loop over j
	1244
	1245	ENDIF ! end if hub inside domain + ghostpoints
[1819]	1246
[1839]	1247
[1912]	1248	CALL exchange_horiz( tow_cd_surf, nbgp )
[1819]	1249
[1839]	1250	!
[1864]	1251	!-- Calculation of the nacelle area
	1252	!-- CAUTION: Currently disabled due to segmentation faults on the FLOW HPC
	1253	!-- cluster (Oldenburg)
	1254	!!
	1255	!!-- Tabulate the points on the circle that are required in the following for
	1256	!!-- the calculation of the Riemann integral (node points; they are called
	1257	!!-- circle_points in the following):
	1258	!
	1259	! dy_int = dy / 10000.0_wp
	1260	!
	1261	! DO i_ip = 1, upper_end
	1262	! yvalue = dy_int * ( i_ip - 0.5_wp ) + 0.5_wp * dy !<--- segmentation fault
	1263	! sqrt_arg = rnac(inot)2 - ( yvalue - rcy(inot) )2 !<--- segmentation fault
	1264	! IF ( sqrt_arg >= 0.0_wp ) THEN
	1265	!!
	1266	!!-- bottom intersection point
	1267	! circle_points(1,i_ip) = rcz(inot) - SQRT( sqrt_arg )
	1268	!!
	1269	!!-- top intersection point
	1270	! circle_points(2,i_ip) = rcz(inot) + SQRT( sqrt_arg ) !<--- segmentation fault
	1271	! ELSE
	1272	! circle_points(:,i_ip) = -111111 !<--- segmentation fault
	1273	! ENDIF
	1274	! ENDDO
	1275	!
	1276	!
	1277	! DO j = nys, nyn
	1278	!!
	1279	!!-- In case that the grid box is located completely outside the nacelle
	1280	!!-- (y) it can automatically be stated that there is no overlap between
	1281	!!-- the grid box and the nacelle and consequently we can set
[1912]	1282	!!-- nac_cd_surf(:,j,i) = 0.0:
[1864]	1283	! IF ( ( j >= index_nacl(inot) ) .AND. ( j <= index_nacr(inot) ) ) THEN
	1284	! DO k = nzb+1, nzt
	1285	!!
	1286	!!-- In case that the grid box is located completely outside the
	1287	!!-- nacelle (z) it can automatically be stated that there is no
	1288	!!-- overlap between the grid box and the nacelle and consequently
[1912]	1289	!!-- we can set nac_cd_surf(k,j,i) = 0.0:
[1864]	1290	! IF ( ( k >= index_nacb(inot) ) .OR. &
	1291	! ( k <= index_nact(inot) ) ) THEN
	1292	!!
	1293	!!-- For all other cases Riemann integrals are calculated.
	1294	!!-- Here, the points on the circle that have been determined
	1295	!!-- above are used in order to calculate the overlap between the
	1296	!!-- gridbox and the nacelle area (area approached by 10000
	1297	!!-- rectangulars dz_int * dy_int):
	1298	! DO i_ipg = 1, 10000
	1299	! dz_int = dz
	1300	! i_ip = j * 10000 + i_ipg
	1301	!!
	1302	!!-- Determine the vertical extension dz_int of the circle
	1303	!!-- within the current grid box:
	1304	! IF ( ( circle_points(2,i_ip) < zw(k) ) .AND. & !<--- segmentation fault
	1305	! ( circle_points(2,i_ip) >= zw(k-1) ) ) THEN
	1306	! dz_int = dz_int - & !<--- segmentation fault
	1307	! ( zw(k) - circle_points(2,i_ip) )
	1308	! ENDIF
	1309	! IF ( ( circle_points(1,i_ip) <= zw(k) ) .AND. & !<--- segmentation fault
	1310	! ( circle_points(1,i_ip) > zw(k-1) ) ) THEN
	1311	! dz_int = dz_int - &
	1312	! ( circle_points(1,i_ip) - zw(k-1) )
	1313	! ENDIF
	1314	! IF ( zw(k-1) > circle_points(2,i_ip) ) THEN
	1315	! dz_int = 0.0_wp
	1316	! ENDIF
	1317	! IF ( zw(k) < circle_points(1,i_ip) ) THEN
	1318	! dz_int = 0.0_wp
	1319	! ENDIF
	1320	! IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1912]	1321	! nac_cd_surf(k,j,i) = nac_cd_surf(k,j,i) + & !<--- segmentation fault
	1322	! dy_int * dz_int * turb_cd_nacelle(inot)
[1864]	1323	! ENDIF
	1324	! ENDDO
	1325	! ENDIF
	1326	! ENDDO
	1327	! ENDIF
[1819]	1328	!
[1864]	1329	! ENDDO
[1819]	1330	!
[1912]	1331	! CALL exchange_horiz( nac_cd_surf, nbgp ) !<--- segmentation fault
[1819]	1332
[1864]	1333	ENDDO ! end of loop over turbines
[1819]	1334
[3065]	1335	tow_cd_surf = tow_cd_surf / ( dx * dy * dz(1) ) ! Normalize tower drag
	1336	nac_cd_surf = nac_cd_surf / ( dx * dy * dz(1) ) ! Normalize nacelle drag
[1819]	1337
[1912]	1338	CALL wtm_read_blade_tables
[1839]	1339
[1864]	1340	END SUBROUTINE wtm_init
	1341
	1342
[1819]	1343	!------------------------------------------------------------------------------!
[1864]	1344	! Description:
	1345	! ------------
	1346	!> Read in layout of the rotor blade , the lift and drag tables
	1347	!> and the distribution of lift and drag tables along the blade
[1819]	1348	!------------------------------------------------------------------------------!
[1912]	1349	!
	1350	SUBROUTINE wtm_read_blade_tables
[1819]	1351
[1839]	1352
[1864]	1353	IMPLICIT NONE
	1354
	1355	INTEGER(iwp) :: ii !< running index
	1356	INTEGER(iwp) :: jj !< running index
[1843]	1357
[1864]	1358	INTEGER(iwp) :: ierrn !<
	1359
	1360	CHARACTER(200) :: chmess !< Read in string
[1839]	1361
[1864]	1362	INTEGER(iwp) :: dlen !< no. rows of local table
	1363	INTEGER(iwp) :: dlenbl !< no. rows of cd, cl table
	1364	INTEGER(iwp) :: ialpha !< table position of current alpha value
	1365	INTEGER(iwp) :: iialpha !<
	1366	INTEGER(iwp) :: iir !<
	1367	INTEGER(iwp) :: radres !< radial resolution
	1368	INTEGER(iwp) :: t1 !< no. of airfoil
	1369	INTEGER(iwp) :: t2 !< no. of airfoil
	1370	INTEGER(iwp) :: trow !<
	1371	INTEGER(iwp) :: dlenbl_int !< no. rows of interpolated cd, cl tables
[1839]	1372
[1864]	1373	REAL(wp) :: alpha_attack_i !<
	1374	REAL(wp) :: weight_a !<
	1375	REAL(wp) :: weight_b !<
[1839]	1376
[1864]	1377	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint1 !<
	1378	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint2 !<
[1839]	1379
[1864]	1380	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel1 !<
	1381	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel2 !<
	1382	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel1 !<
	1383	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel2 !<
	1384	REAL(wp), DIMENSION(:), ALLOCATABLE :: read_cl_cd !< read in var array
[1839]	1385
[1864]	1386	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack_tab !<
	1387	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad1 !<
	1388	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad2 !<
	1389	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_table !<
	1390	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_table !<
[1839]	1391
[1864]	1392	ALLOCATE ( read_cl_cd(1:2*nairfoils+1) )
[1839]	1393
[1864]	1394	!
	1395	!-- Read in the distribution of lift and drag tables along the blade, the
	1396	!-- layout of the rotor blade and the lift and drag tables:
	1397
[2323]	1398	OPEN ( 90, FILE='WTM_DATA', STATUS='OLD', FORM='FORMATTED', IOSTAT=ierrn )
[1864]	1399
	1400	IF ( ierrn /= 0 ) THEN
	1401	message_string = 'file WTM_DATA does not exist'
[2322]	1402	CALL message( 'wtm_init', 'PA0464', 1, 2, 0, 6, 0 )
[1864]	1403	ENDIF
	1404	!
	1405	!-- Read distribution table:
	1406
	1407	dlen = 0
	1408
[2323]	1409	READ ( 90, '(3/)' )
[1864]	1410
	1411	rloop3: DO
[2323]	1412	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1413	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop3
	1414	dlen = dlen + 1
	1415	ENDDO rloop3
	1416
	1417	ALLOCATE( trad1(1:dlen), trad2(1:dlen), ttoint1(1:dlen), ttoint2(1:dlen))
	1418
	1419	DO jj = 1,dlen+1
[2323]	1420	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1421	ENDDO
	1422
	1423	DO jj = 1,dlen
[2323]	1424	READ ( 90, * ) trad1(jj), trad2(jj), ttoint1(jj), ttoint2(jj)
[1864]	1425	ENDDO
	1426
	1427	!
	1428	!-- Read layout table:
	1429
[1839]	1430	dlen = 0
[1864]	1431
[2323]	1432	READ ( 90, '(3/)')
[1864]	1433
[1843]	1434	rloop1: DO
[2323]	1435	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1436	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop1
	1437	dlen = dlen + 1
[1843]	1438	ENDDO rloop1
[1864]	1439
[1839]	1440	ALLOCATE( lrd(1:dlen), ard(1:dlen), crd(1:dlen) )
[1864]	1441	DO jj = 1, dlen+1
[2323]	1442	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1443	ENDDO
	1444	DO jj = 1, dlen
[2323]	1445	READ ( 90, * ) lrd(jj), ard(jj), crd(jj)
[1839]	1446	ENDDO
[1819]	1447
[1864]	1448	!
	1449	!-- Read tables (turb_cl(alpha),turb_cd(alpha) for the different profiles:
[1819]	1450
[1864]	1451	dlen = 0
	1452
[2323]	1453	READ ( 90, '(3/)' )
[1864]	1454
[1843]	1455	rloop2: DO
[2323]	1456	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1457	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop2
	1458	dlen = dlen + 1
	1459	ENDDO rloop2
	1460
[1912]	1461	ALLOCATE( alpha_attack_tab(1:dlen), turb_cl_table(1:dlen,1:nairfoils), &
[1864]	1462	turb_cd_table(1:dlen,1:nairfoils) )
	1463
	1464	DO jj = 1,dlen+1
[2323]	1465	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1466	ENDDO
	1467
[1839]	1468	DO jj = 1,dlen
[2323]	1469	READ ( 90, * ) read_cl_cd
[1864]	1470	alpha_attack_tab(jj) = read_cl_cd(1)
	1471	DO ii= 1, nairfoils
	1472	turb_cl_table(jj,ii) = read_cl_cd(ii*2)
	1473	turb_cd_table(jj,ii) = read_cl_cd(ii*2+1)
[1819]	1474	ENDDO
[1864]	1475
[1839]	1476	ENDDO
[1864]	1477
	1478	dlenbl = dlen
	1479
[2323]	1480	CLOSE ( 90 )
[1819]	1481
[1864]	1482	!
[2836]	1483	!-- For each possible radial position (resolution: 0.1 m --> 631 values if rr(1)=63m)
	1484	!-- and each possible angle of attack (resolution: 0.1 degrees --> 3601 values!)
[1864]	1485	!-- determine the lift and drag coefficient by interpolating between the
	1486	!-- tabulated values of each table (interpolate to current angle of attack)
	1487	!-- and between the tables (interpolate to current radial position):
[1839]	1488
[2836]	1489	ALLOCATE( turb_cl_sel1(1:dlenbl) )
	1490	ALLOCATE( turb_cl_sel2(1:dlenbl) )
	1491	ALLOCATE( turb_cd_sel1(1:dlenbl) )
	1492	ALLOCATE( turb_cd_sel2(1:dlenbl) )
[1819]	1493
[1864]	1494	radres = INT( rr(1) * 10.0_wp ) + 1_iwp
	1495	dlenbl_int = INT( 360.0_wp / accu_cl_cd_tab ) + 1_iwp
[1839]	1496
[2836]	1497	ALLOCATE( turb_cl_tab(1:dlenbl_int,1:radres) )
	1498	ALLOCATE( turb_cd_tab(1:dlenbl_int,1:radres) )
[1864]	1499
[2836]	1500	DO iir = 1, radres ! loop over radius
[1864]	1501
[2836]	1502	cur_r = ( iir - 1_iwp ) * 0.1_wp
	1503	!
	1504	!-- Find position in table 1
	1505	lct = MINLOC( ABS( trad1 - cur_r ) )
	1506	! lct(1) = lct(1)
[1864]	1507
[2836]	1508	IF ( ( trad1(lct(1)) - cur_r ) .GT. 0.0 ) THEN
	1509	lct(1) = lct(1) - 1
	1510	ENDIF
[1864]	1511
[2836]	1512	trow = lct(1)
	1513	!
	1514	!-- Calculate weights for radius interpolation
	1515	weight_a = ( trad2(trow) - cur_r ) / ( trad2(trow) - trad1(trow) )
	1516	weight_b = ( cur_r - trad1(trow) ) / ( trad2(trow) - trad1(trow) )
	1517	t1 = ttoint1(trow)
	1518	t2 = ttoint2(trow)
[1864]	1519
[2836]	1520	IF ( t1 .EQ. t2 ) THEN ! if both are the same, the weights are NaN
	1521	weight_a = 0.5_wp ! then do interpolate in between same twice
	1522	weight_b = 0.5_wp ! using 0.5 as weight
	1523	ENDIF
	1524
	1525	IF ( t1 == 0 .AND. t2 == 0 ) THEN
	1526	turb_cd_sel1 = 0.0_wp
	1527	turb_cd_sel2 = 0.0_wp
	1528	turb_cl_sel1 = 0.0_wp
	1529	turb_cl_sel2 = 0.0_wp
	1530
	1531	turb_cd_tab(1,iir) = 0.0_wp ! For -180Â° (iialpha=1) the values
	1532	turb_cl_tab(1,iir) = 0.0_wp ! for each radius has to be set
	1533	! explicitly
	1534	ELSE
	1535	turb_cd_sel1 = turb_cd_table(:,t1)
	1536	turb_cd_sel2 = turb_cd_table(:,t2)
	1537	turb_cl_sel1 = turb_cl_table(:,t1)
	1538	turb_cl_sel2 = turb_cl_table(:,t2)
	1539	!
	1540	!-- For -180Â° (iialpha=1) the values for each radius has to be set
	1541	!-- explicitly
	1542	turb_cd_tab(1,iir) = ( weight_a * turb_cd_table(1,t1) + weight_b &
	1543	* turb_cd_table(1,t2) )
	1544	turb_cl_tab(1,iir) = ( weight_a * turb_cl_table(1,t1) + weight_b &
	1545	* turb_cl_table(1,t2) )
	1546	ENDIF
	1547
	1548	DO iialpha = 2, dlenbl_int ! loop over angles
	1549
[1864]	1550	alpha_attack_i = -180.0_wp + REAL( iialpha-1 ) * accu_cl_cd_tab
	1551	ialpha = 1
[2836]	1552
[2152]	1553	DO WHILE ( ( alpha_attack_i > alpha_attack_tab(ialpha) ) .AND. (ialpha <= dlen ) )
[1864]	1554	ialpha = ialpha + 1
	1555	ENDDO
[1819]	1556
[1864]	1557	!
[1912]	1558	!-- Interpolation of lift and drag coefficiencts on fine grid of radius
	1559	!-- segments and angles of attack
	1560	turb_cl_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1561	alpha_attack_i ) / &
[1864]	1562	( alpha_attack_tab(ialpha) - &
	1563	alpha_attack_tab(ialpha-1) ) * &
	1564	( weight_a * turb_cl_sel1(ialpha-1) + &
	1565	weight_b * turb_cl_sel2(ialpha-1) ) +&
	1566	( alpha_attack_i - &
	1567	alpha_attack_tab(ialpha-1) ) / &
	1568	( alpha_attack_tab(ialpha) - &
	1569	alpha_attack_tab(ialpha-1) ) * &
	1570	( weight_a * turb_cl_sel1(ialpha) + &
	1571	weight_b * turb_cl_sel2(ialpha) )
[1912]	1572	turb_cd_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1573	alpha_attack_i ) / &
[1864]	1574	( alpha_attack_tab(ialpha) - &
	1575	alpha_attack_tab(ialpha-1) ) * &
	1576	( weight_a * turb_cd_sel1(ialpha-1) + &
	1577	weight_b * turb_cd_sel2(ialpha-1) ) +&
	1578	( alpha_attack_i - &
	1579	alpha_attack_tab(ialpha-1) ) / &
	1580	( alpha_attack_tab(ialpha) - &
	1581	alpha_attack_tab(ialpha-1) ) * &
	1582	( weight_a * turb_cd_sel1(ialpha) + &
	1583	weight_b * turb_cd_sel2(ialpha) )
[2836]	1584
[1912]	1585	ENDDO ! end loop over angles of attack
[2836]	1586
	1587	ENDDO ! end loop over radius
[1819]	1588
[2836]	1589
[1912]	1590	END SUBROUTINE wtm_read_blade_tables
[1819]	1591
	1592
[1864]	1593	!------------------------------------------------------------------------------!
	1594	! Description:
	1595	! ------------
	1596	!> The projection matrix for the coordinate system of therotor disc in respect
	1597	!> to the yaw and tilt angle of the rotor is calculated
	1598	!------------------------------------------------------------------------------!
	1599	SUBROUTINE wtm_rotate_rotor( inot )
[1819]	1600
[1864]	1601
	1602	IMPLICIT NONE
	1603
	1604	INTEGER(iwp) :: inot
	1605	!
	1606	!-- Calculation of the rotation matrix for the application of the tilt to
	1607	!-- the rotors
	1608	rot_eigen_rad(1) = SIN( phi_yaw(inot) ) ! x-component of the radial eigenvector
	1609	rot_eigen_rad(2) = COS( phi_yaw(inot) ) ! y-component of the radial eigenvector
	1610	rot_eigen_rad(3) = 0.0_wp ! z-component of the radial eigenvector
	1611
	1612	rot_eigen_azi(1) = 0.0_wp ! x-component of the azimuth eigenvector
	1613	rot_eigen_azi(2) = 0.0_wp ! y-component of the azimuth eigenvector
	1614	rot_eigen_azi(3) = 1.0_wp ! z-component of the azimuth eigenvector
	1615
	1616	rot_eigen_nor(1) = COS( phi_yaw(inot) ) ! x-component of the normal eigenvector
	1617	rot_eigen_nor(2) = -SIN( phi_yaw(inot) ) ! y-component of the normal eigenvector
	1618	rot_eigen_nor(3) = 0.0_wp ! z-component of the normal eigenvector
[1839]	1619
[1864]	1620	!
	1621	!-- Calculation of the coordinate transformation matrix to apply a tilt to
	1622	!-- the rotor. If tilt = 0, rot_coord_trans is a unit matrix.
[1819]	1623
[1912]	1624	rot_coord_trans(inot,1,1) = rot_eigen_rad(1)*2 &
[1864]	1625	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1626	rot_coord_trans(inot,1,2) = rot_eigen_rad(1) * rot_eigen_rad(2) * &
	1627	( 1.0_wp - COS( tilt ) ) - &
[1864]	1628	rot_eigen_rad(3) * SIN( tilt )
[1912]	1629	rot_coord_trans(inot,1,3) = rot_eigen_rad(1) * rot_eigen_rad(3) * &
	1630	( 1.0_wp - COS( tilt ) ) + &
[1864]	1631	rot_eigen_rad(2) * SIN( tilt )
[1912]	1632	rot_coord_trans(inot,2,1) = rot_eigen_rad(2) * rot_eigen_rad(1) * &
	1633	( 1.0_wp - COS( tilt ) ) + &
[1864]	1634	rot_eigen_rad(3) * SIN( tilt )
[1912]	1635	rot_coord_trans(inot,2,2) = rot_eigen_rad(2)*2 &
[1864]	1636	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1637	rot_coord_trans(inot,2,3) = rot_eigen_rad(2) * rot_eigen_rad(3) * &
	1638	( 1.0_wp - COS( tilt ) ) - &
[1864]	1639	rot_eigen_rad(1) * SIN( tilt )
[1912]	1640	rot_coord_trans(inot,3,1) = rot_eigen_rad(3) * rot_eigen_rad(1) * &
	1641	( 1.0_wp - COS( tilt ) ) - &
[1864]	1642	rot_eigen_rad(2) * SIN( tilt )
[1912]	1643	rot_coord_trans(inot,3,2) = rot_eigen_rad(3) * rot_eigen_rad(2) * &
	1644	( 1.0_wp - COS( tilt ) ) + &
[1864]	1645	rot_eigen_rad(1) * SIN( tilt )
[1912]	1646	rot_coord_trans(inot,3,3) = rot_eigen_rad(3)*2 &
[1864]	1647	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1839]	1648
[1864]	1649	!
	1650	!-- Vectors for the Transformation of forces from the rotor's spheric
	1651	!-- coordinate system to the cartesian coordinate system
	1652	rotx(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_nor )
	1653	roty(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_rad )
	1654	rotz(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_azi )
	1655
	1656	END SUBROUTINE wtm_rotate_rotor
[1839]	1657
	1658
[1819]	1659	!------------------------------------------------------------------------------!
	1660	! Description:
	1661	! ------------
[1839]	1662	!> Calculation of the forces generated by the wind turbine
[1819]	1663	!------------------------------------------------------------------------------!
	1664	SUBROUTINE wtm_forces
	1665
[1864]	1666
[1819]	1667	IMPLICIT NONE
	1668
[2669]	1669	CHARACTER (LEN=4) :: turbine_id
[1819]	1670
[1839]	1671	INTEGER(iwp) :: i, j, k !< loop indices
	1672	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	1673	INTEGER(iwp) :: iialpha, iir !<
	1674	INTEGER(iwp) :: rseg, rseg_int !<
	1675	INTEGER(iwp) :: ring, ring_int !<
	1676	INTEGER(iwp) :: ii, jj, kk !<
[1912]	1677
[2232]	1678	REAL(wp) :: flag !< flag to mask topography grid points
[1839]	1679	REAL(wp) :: sin_rot, cos_rot !<
	1680	REAL(wp) :: sin_yaw, cos_yaw !<
[1912]	1681
	1682	REAL(wp) :: aa, bb, cc, dd !< interpolation distances
	1683	REAL(wp) :: gg !< interpolation volume var
	1684
	1685	REAL(wp) :: dist_u_3d, dist_v_3d, dist_w_3d !< smearing distances
	1686
	1687
[1839]	1688	!
[1819]	1689	! Variables for pitch control
	1690	REAL(wp) :: torque_max=0.0_wp
[1839]	1691	LOGICAL :: pitch_sw=.FALSE.
	1692
[1819]	1693	INTEGER(iwp), DIMENSION(1) :: lct=0
[1839]	1694	REAL(wp), DIMENSION(1) :: rad_d=0.0_wp
[2152]	1695
	1696	REAL(wp) :: tl_factor !< factor for tip loss correction
[1819]	1697
	1698
[1864]	1699	CALL cpu_log( log_point_s(61), 'wtm_forces', 'start' )
[1819]	1700
	1701
	1702	IF ( simulated_time >= time_turbine_on ) THEN
	1703
[1864]	1704	!
[1819]	1705	!-- Set forces to zero for each new time step:
	1706	thrust(:,:,:) = 0.0_wp
	1707	torque_y(:,:,:) = 0.0_wp
	1708	torque_z(:,:,:) = 0.0_wp
	1709	torque_total(:) = 0.0_wp
[1912]	1710	rot_tend_x(:,:,:) = 0.0_wp
	1711	rot_tend_y(:,:,:) = 0.0_wp
	1712	rot_tend_z(:,:,:) = 0.0_wp
	1713	thrust_rotor(:) = 0.0_wp
[1819]	1714	!
	1715	!-- Loop over number of turbines:
	1716	DO inot = 1, nturbines
	1717
	1718	cos_yaw = COS(phi_yaw(inot))
	1719	sin_yaw = SIN(phi_yaw(inot))
	1720	!
[1839]	1721	!-- Loop over rings of each turbine:
[1819]	1722	DO ring = 1, nrings(inot)
	1723
	1724	thrust_seg(:) = 0.0_wp
	1725	torque_seg_y(:) = 0.0_wp
	1726	torque_seg_z(:) = 0.0_wp
	1727	!
	1728	!-- Determine distance between each ring (center) and the hub:
	1729	cur_r = (ring - 0.5_wp) * delta_r(inot)
	1730
	1731	!
[1839]	1732	!-- Loop over segments of each ring of each turbine:
[1819]	1733	DO rseg = 1, nsegs(ring,inot)
	1734	!
[1864]	1735	!-- !-----------------------------------------------------------!
	1736	!-- !-- Determine coordinates of the ring segments --!
	1737	!-- !-----------------------------------------------------------!
[1819]	1738	!
[1864]	1739	!-- Determine angle of ring segment towards zero degree angle of
	1740	!-- rotor system (at zero degree rotor direction vectors aligned
	1741	!-- with y-axis):
[1819]	1742	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1743	cos_rot = COS( phi_rotor )
	1744	sin_rot = SIN( phi_rotor )
	1745
[1864]	1746	!-- Now the direction vectors can be determined with respect to
	1747	!-- the yaw and tilt angle:
[1819]	1748	re(1) = cos_rot * sin_yaw
[1839]	1749	re(2) = cos_rot * cos_yaw
[1819]	1750	re(3) = sin_rot
	1751
	1752	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1753	!
	1754	!-- Coordinates of the single segments (center points):
	1755	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	1756	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	1757	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	1758
[1864]	1759	!-- !-----------------------------------------------------------!
	1760	!-- !-- Interpolation of the velocity components from the --!
	1761	!-- !-- cartesian grid point to the coordinates of each ring --!
	1762	!-- !-- segment (follows a method used in the particle model) --!
	1763	!-- !-----------------------------------------------------------!
[1819]	1764
	1765	u_int(inot,ring,rseg) = 0.0_wp
	1766	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1767
	1768	v_int(inot,ring,rseg) = 0.0_wp
	1769	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1770
	1771	w_int(inot,ring,rseg) = 0.0_wp
	1772	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1773
	1774	!
	1775	!-- Interpolation of the u-component:
	1776
	1777	ii = rbx(ring,rseg) * ddx
	1778	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[3065]	1779	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	1780	!
[1864]	1781	!-- Interpolate only if all required information is available on
	1782	!-- the current PE:
[1839]	1783	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1784	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1785
[1839]	1786	aa = ( ( ii + 1 ) * dx - rbx(ring,rseg) ) * &
	1787	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1788	bb = ( rbx(ring,rseg) - ii * dx ) * &
	1789	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1790	cc = ( ( ii+1 ) * dx - rbx(ring,rseg) ) * &
	1791	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1792	dd = ( rbx(ring,rseg) - ii * dx ) * &
	1793	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1794	gg = dx * dy
	1795
[1864]	1796	u_int_l = ( aa * u(kk,jj,ii) + &
	1797	bb * u(kk,jj,ii+1) + &
	1798	cc * u(kk,jj+1,ii) + &
	1799	dd * u(kk,jj+1,ii+1) &
[1819]	1800	) / gg
	1801
[1864]	1802	u_int_u = ( aa * u(kk+1,jj,ii) + &
	1803	bb * u(kk+1,jj,ii+1) + &
	1804	cc * u(kk+1,jj+1,ii) + &
	1805	dd * u(kk+1,jj+1,ii+1) &
[1819]	1806	) / gg
	1807
[1864]	1808	u_int_1_l(inot,ring,rseg) = u_int_l + &
[3065]	1809	( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
[1819]	1810	( u_int_u - u_int_l )
	1811
	1812	ELSE
	1813	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1814	ENDIF
	1815	ELSE
	1816	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1817	ENDIF
	1818
	1819
	1820	!
	1821	!-- Interpolation of the v-component:
	1822	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
[1839]	1823	jj = rby(ring,rseg) * ddy
[3065]	1824	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	1825	!
[1864]	1826	!-- Interpolate only if all required information is available on
	1827	!-- the current PE:
[1839]	1828	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1829	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1830
[1839]	1831	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1832	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1833	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1834	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1835	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1836	( rby(ring,rseg) - jj * dy )
	1837	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1838	( rby(ring,rseg) - jj * dy )
[1819]	1839	gg = dx * dy
	1840
[1864]	1841	v_int_l = ( aa * v(kk,jj,ii) + &
	1842	bb * v(kk,jj,ii+1) + &
	1843	cc * v(kk,jj+1,ii) + &
	1844	dd * v(kk,jj+1,ii+1) &
[1819]	1845	) / gg
	1846
[1864]	1847	v_int_u = ( aa * v(kk+1,jj,ii) + &
	1848	bb * v(kk+1,jj,ii+1) + &
	1849	cc * v(kk+1,jj+1,ii) + &
	1850	dd * v(kk+1,jj+1,ii+1) &
[1819]	1851	) / gg
	1852
[1864]	1853	v_int_1_l(inot,ring,rseg) = v_int_l + &
[3065]	1854	( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
[1819]	1855	( v_int_u - v_int_l )
	1856
	1857	ELSE
	1858	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1859	ENDIF
	1860	ELSE
	1861	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1862	ENDIF
	1863
	1864
	1865	!
	1866	!-- Interpolation of the w-component:
	1867	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
	1868	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[3065]	1869	kk = rbz(ring,rseg) / dz(1)
[1819]	1870	!
[1864]	1871	!-- Interpolate only if all required information is available on
	1872	!-- the current PE:
[1839]	1873	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1874	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1875
[1839]	1876	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1877	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1878	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1879	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1880	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1881	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1882	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1883	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1884	gg = dx * dy
	1885
[1864]	1886	w_int_l = ( aa * w(kk,jj,ii) + &
	1887	bb * w(kk,jj,ii+1) + &
	1888	cc * w(kk,jj+1,ii) + &
	1889	dd * w(kk,jj+1,ii+1) &
[1819]	1890	) / gg
	1891
[1864]	1892	w_int_u = ( aa * w(kk+1,jj,ii) + &
	1893	bb * w(kk+1,jj,ii+1) + &
	1894	cc * w(kk+1,jj+1,ii) + &
	1895	dd * w(kk+1,jj+1,ii+1) &
[1819]	1896	) / gg
	1897
[1864]	1898	w_int_1_l(inot,ring,rseg) = w_int_l + &
[3065]	1899	( rbz(ring,rseg) - zw(kk) ) / dz(1) * &
[1819]	1900	( w_int_u - w_int_l )
	1901	ELSE
	1902	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1903	ENDIF
	1904	ELSE
	1905	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1906	ENDIF
	1907
	1908	ENDDO
	1909	ENDDO
	1910
	1911	ENDDO
	1912
	1913	!
	1914	!-- Exchange between PEs (information required on each PE):
	1915	#if defined( __parallel )
[1839]	1916	CALL MPI_ALLREDUCE( u_int_1_l, u_int, nturbines * MAXVAL(nrings) * &
	1917	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1918	CALL MPI_ALLREDUCE( v_int_1_l, v_int, nturbines * MAXVAL(nrings) * &
	1919	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1920	CALL MPI_ALLREDUCE( w_int_1_l, w_int, nturbines * MAXVAL(nrings) * &
	1921	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
[1819]	1922	#else
	1923	u_int = u_int_1_l
	1924	v_int = v_int_1_l
	1925	w_int = w_int_1_l
	1926	#endif
	1927
	1928
	1929	!
	1930	!-- Loop over number of turbines:
[1912]	1931
[1819]	1932	DO inot = 1, nturbines
[1912]	1933	pit_loop: DO
[1819]	1934
[1912]	1935	IF ( pitch_sw ) THEN
[1839]	1936	torque_total(inot) = 0.0_wp
[1912]	1937	thrust_rotor(inot) = 0.0_wp
	1938	pitch_add(inot) = pitch_add(inot) + 0.25_wp
	1939	! IF ( myid == 0 ) PRINT*, 'Pitch', inot, pitch_add(inot)
	1940	ELSE
	1941	cos_yaw = COS(phi_yaw(inot))
	1942	sin_yaw = SIN(phi_yaw(inot))
	1943	IF ( pitch_control ) THEN
	1944	pitch_add(inot) = MAX(pitch_add_old(inot) - pitch_rate * &
	1945	dt_3d , 0.0_wp )
	1946	ENDIF
[1819]	1947	ENDIF
	1948
[1839]	1949	!
	1950	!-- Loop over rings of each turbine:
[1819]	1951	DO ring = 1, nrings(inot)
	1952	!
	1953	!-- Determine distance between each ring (center) and the hub:
	1954	cur_r = (ring - 0.5_wp) * delta_r(inot)
[1839]	1955	!
	1956	!-- Loop over segments of each ring of each turbine:
[1819]	1957	DO rseg = 1, nsegs(ring,inot)
	1958	!
[1839]	1959	!-- Determine angle of ring segment towards zero degree angle of
	1960	!-- rotor system (at zero degree rotor direction vectors aligned
	1961	!-- with y-axis):
[1819]	1962	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1963	cos_rot = COS(phi_rotor)
	1964	sin_rot = SIN(phi_rotor)
	1965	!
[1839]	1966	!-- Now the direction vectors can be determined with respect to
	1967	!-- the yaw and tilt angle:
[1819]	1968	re(1) = cos_rot * sin_yaw
	1969	re(2) = cos_rot * cos_yaw
	1970	re(3) = sin_rot
	1971
[1864]	1972	! The current unit vector in azimuthal direction:
[1819]	1973	rea(1) = - sin_rot * sin_yaw
	1974	rea(2) = - sin_rot * cos_yaw
	1975	rea(3) = cos_rot
	1976
	1977	!
[1864]	1978	!-- To respect the yawing angle for the calculations of
	1979	!-- velocities and forces the unit vectors perpendicular to the
	1980	!-- rotor area in direction of the positive yaw angle are defined:
[1819]	1981	ren(1) = cos_yaw
	1982	ren(2) = - sin_yaw
	1983	ren(3) = 0.0_wp
	1984	!
	1985	!-- Multiplication with the coordinate transformation matrix
[1864]	1986	!-- gives the final unit vector with consideration of the rotor
	1987	!-- tilt:
[1819]	1988	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1989	rota = MATMUL( rot_coord_trans(inot,:,:), rea )
	1990	rotn = MATMUL( rot_coord_trans(inot,:,:), ren )
	1991	!
	1992	!-- Coordinates of the single segments (center points):
	1993	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	1994
	1995	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	1996
	1997	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	1998
	1999	!
[1864]	2000	!-- !-----------------------------------------------------------!
	2001	!-- !-- Calculation of various angles and relative velocities --!
	2002	!-- !-----------------------------------------------------------!
[1819]	2003	!
[1864]	2004	!-- In the following the 3D-velocity field is projected its
[2553]	2005	!-- components perpendicular and parallel to the rotor area
[1819]	2006	!-- The calculation of forces will be done in the rotor-
	2007	!-- coordinates y' and z.
	2008	!-- The yaw angle will be reintroduced when the force is applied
	2009	!-- on the hydrodynamic equations
[1864]	2010	!
	2011	!-- Projection of the xy-velocities relative to the rotor area
	2012	!
[1819]	2013	!-- Velocity perpendicular to the rotor area:
[1864]	2014	u_rot = u_int(inot,ring,rseg)*rotn(1) + &
	2015	v_int(inot,ring,rseg)*rotn(2) + &
[1819]	2016	w_int(inot,ring,rseg)*rotn(3)
	2017	!
[1864]	2018	!-- Projection of the 3D-velocity vector in the azimuthal
	2019	!-- direction:
	2020	vtheta(rseg) = rota(1) * u_int(inot,ring,rseg) + &
	2021	rota(2) * v_int(inot,ring,rseg) + &
[1819]	2022	rota(3) * w_int(inot,ring,rseg)
	2023	!
[1864]	2024	!-- Determination of the angle phi_rel between the rotor plane
	2025	!-- and the direction of the flow relative to the rotor:
[1819]	2026
[1864]	2027	phi_rel(rseg) = ATAN( u_rot / &
	2028	( omega_rot(inot) * cur_r - &
[1819]	2029	vtheta(rseg) ) )
	2030
	2031	!
[1864]	2032	!-- Interpolation of the local pitch angle from tabulated values
	2033	!-- to the current radial position:
[1819]	2034
	2035	lct=minloc(ABS(cur_r-lrd))
	2036	rad_d=cur_r-lrd(lct)
	2037
	2038	IF (cur_r == 0.0_wp) THEN
	2039	alpha_attack(rseg) = 0.0_wp
	2040	ELSE IF (cur_r >= lrd(size(ard))) THEN
[1864]	2041	alpha_attack(rseg) = ( ard(size(ard)) + &
	2042	ard(size(ard)-1) ) / 2.0_wp
[1819]	2043	ELSE
[1864]	2044	alpha_attack(rseg) = ( ard(lct(1)) * &
	2045	( ( lrd(lct(1)+1) - cur_r ) / &
	2046	( lrd(lct(1)+1) - lrd(lct(1)) ) &
	2047	) ) + ( ard(lct(1)+1) * &
	2048	( ( cur_r - lrd(lct(1)) ) / &
	2049	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2050	ENDIF
	2051
	2052	!
[1864]	2053	!-- In Fortran radian instead of degree is used as unit for all
	2054	!-- angles. Therefore, a transformation from angles given in
	2055	!-- degree to angles given in radian is necessary here:
	2056	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2057	( (2.0_wp*pi) / 360.0_wp )
	2058	!
[1864]	2059	!-- Substraction of the local pitch angle to obtain the local
	2060	!-- angle of attack:
[1819]	2061	alpha_attack(rseg) = phi_rel(rseg) - alpha_attack(rseg)
	2062	!
[1864]	2063	!-- Preliminary transformation back from angles given in radian
	2064	!-- to angles given in degree:
	2065	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2066	( 360.0_wp / (2.0_wp*pi) )
	2067	!
[1864]	2068	!-- Correct with collective pitch angle:
[2015]	2069	alpha_attack = alpha_attack - pitch_add(inot)
[1819]	2070
	2071	!
[1864]	2072	!-- Determination of the magnitude of the flow velocity relative
	2073	!-- to the rotor:
[1912]	2074	vrel(rseg) = SQRT( u_rot**2 + &
	2075	( omega_rot(inot) * cur_r - &
[1819]	2076	vtheta(rseg) )**2 )
	2077
	2078	!
[1864]	2079	!-- !-----------------------------------------------------------!
	2080	!-- !-- Interpolation of chord as well as lift and drag --!
	2081	!-- !-- coefficients from tabulated values --!
	2082	!-- !-----------------------------------------------------------!
[1819]	2083
	2084	!
[1864]	2085	!-- Interpolation of the chord_length from tabulated values to
	2086	!-- the current radial position:
[1819]	2087
	2088	IF (cur_r == 0.0_wp) THEN
	2089	chord(rseg) = 0.0_wp
	2090	ELSE IF (cur_r >= lrd(size(crd))) THEN
[1864]	2091	chord(rseg) = (crd(size(crd)) + ard(size(crd)-1)) / 2.0_wp
[1819]	2092	ELSE
[1864]	2093	chord(rseg) = ( crd(lct(1)) * &
	2094	( ( lrd(lct(1)+1) - cur_r ) / &
	2095	( lrd(lct(1)+1) - lrd(lct(1)) ) ) ) + &
	2096	( crd(lct(1)+1) * &
	2097	( ( cur_r-lrd(lct(1)) ) / &
	2098	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2099	ENDIF
	2100
	2101	!
	2102	!-- Determine index of current angle of attack, needed for
[1864]	2103	!-- finding the appropriate interpolated values of the lift and
[2836]	2104	!-- drag coefficients (-180.0 degrees = 1, +180.0 degrees = 3601,
	2105	!-- so one index every 0.1 degrees):
[1864]	2106	iialpha = CEILING( ( alpha_attack(rseg) + 180.0_wp ) &
[2836]	2107	* ( 1.0_wp / accu_cl_cd_tab ) ) + 1.0_wp
[1819]	2108	!
	2109	!-- Determine index of current radial position, needed for
[1864]	2110	!-- finding the appropriate interpolated values of the lift and
	2111	!-- drag coefficients (one index every 0.1 m):
[1819]	2112	iir = CEILING( cur_r * 10.0_wp )
	2113	!
[1864]	2114	!-- Read in interpolated values of the lift and drag coefficients
	2115	!-- for the current radial position and angle of attack:
[1839]	2116	turb_cl(rseg) = turb_cl_tab(iialpha,iir)
	2117	turb_cd(rseg) = turb_cd_tab(iialpha,iir)
[1819]	2118
	2119	!
[1864]	2120	!-- Final transformation back from angles given in degree to
	2121	!-- angles given in radian:
	2122	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2123	( (2.0_wp*pi) / 360.0_wp )
	2124
[2152]	2125	IF ( tl_cor ) THEN
	2126
	2127	!-- Tip loss correction following Schito
	2128	!-- Schito applies the tip loss correction only to the lift force
	2129	!-- Therefore, the tip loss correction is only applied to the lift
	2130	!-- coefficient and not to the drag coefficient in our case
	2131	!--
	2132	tl_factor = ( 2.0 / pi ) * &
	2133	ACOS( EXP( -1.0 * ( 3.0 * ( rr(inot) - cur_r ) / &
	2134	( 2.0 * cur_r * abs( sin( phi_rel(rseg) ) ) ) ) ) )
	2135
	2136	turb_cl(rseg) = tl_factor * turb_cl(rseg)
	2137
[2894]	2138	ENDIF
[1819]	2139	!
	2140	!-- !-----------------------------------------------------!
	2141	!-- !-- Calculation of the forces --!
	2142	!-- !-----------------------------------------------------!
	2143
	2144	!
[1864]	2145	!-- Calculate the pre_factor for the thrust and torque forces:
[1819]	2146
	2147	pre_factor = 0.5_wp * (vrel(rseg)*2) 3.0_wp * &
	2148	chord(rseg) * delta_r(inot) / nsegs(ring,inot)
	2149
	2150	!
[1864]	2151	!-- Calculate the thrust force (x-component of the total force)
	2152	!-- for each ring segment:
	2153	thrust_seg(rseg) = pre_factor * &
	2154	( turb_cl(rseg) * COS(phi_rel(rseg)) + &
	2155	turb_cd(rseg) * SIN(phi_rel(rseg)) )
[1819]	2156
	2157	!
[1864]	2158	!-- Determination of the second of the additional forces acting
	2159	!-- on the flow in the azimuthal direction: force vector as basis
	2160	!-- for torque (torque itself would be the vector product of the
	2161	!-- radius vector and the force vector):
	2162	torque_seg = pre_factor * &
	2163	( turb_cl(rseg) * SIN(phi_rel(rseg)) - &
[1839]	2164	turb_cd(rseg) * COS(phi_rel(rseg)) )
[1819]	2165	!
	2166	!-- Decomposition of the force vector into two parts:
[1864]	2167	!-- One acting along the y-direction and one acting along the
	2168	!-- z-direction of the rotor coordinate system:
[1819]	2169
	2170	torque_seg_y(rseg) = -torque_seg * sin_rot
	2171	torque_seg_z(rseg) = torque_seg * cos_rot
	2172
[1912]	2173	!
	2174	!-- Add the segment thrust to the thrust of the whole rotor
	2175	thrust_rotor(inot) = thrust_rotor(inot) + &
	2176	thrust_seg(rseg)
	2177
	2178
[1819]	2179	torque_total(inot) = torque_total(inot) + (torque_seg * cur_r)
	2180
[1864]	2181	ENDDO !-- end of loop over ring segments
[1819]	2182
	2183	!
[1864]	2184	!-- Restore the forces into arrays containing all the segments of
	2185	!-- each ring:
[1819]	2186	thrust_ring(ring,:) = thrust_seg(:)
	2187	torque_ring_y(ring,:) = torque_seg_y(:)
	2188	torque_ring_z(ring,:) = torque_seg_z(:)
	2189
	2190
[1864]	2191	ENDDO !-- end of loop over rings
[1819]	2192
	2193
[1864]	2194	CALL cpu_log( log_point_s(62), 'wtm_controller', 'start' )
[1819]	2195
[1912]	2196
	2197	IF ( speed_control ) THEN
	2198	!
	2199	!-- Calculation of the current generator speed for rotor speed control
	2200
	2201	!
	2202	!-- The acceleration of the rotor speed is calculated from
	2203	!-- the force balance of the accelerating torque
	2204	!-- and the torque of the rotating rotor and generator
	2205	om_rate = ( torque_total(inot) * air_dens * gear_eff - &
	2206	gear_ratio * torque_gen_old(inot) ) / &
	2207	( inertia_rot + &
	2208	gear_ratio * gear_ratio * inertia_gen ) * dt_3d
[1819]	2209
[1912]	2210	!
	2211	!-- The generator speed is given by the product of gear gear_ratio
	2212	!-- and rotor speed
	2213	omega_gen(inot) = gear_ratio * ( omega_rot(inot) + om_rate )
	2214
	2215	ENDIF
	2216
[1864]	2217	IF ( pitch_control ) THEN
[1819]	2218
[1912]	2219	!
	2220	!-- If the current generator speed is above rated, the pitch is not
	2221	!-- saturated and the change from the last time step is within the
	2222	!-- maximum pitch rate, then the pitch loop is repeated with a pitch
	2223	!-- gain
	2224	IF ( ( omega_gen(inot) > rated_genspeed ) .AND. &
	2225	( pitch_add(inot) < 25.0_wp ) .AND. &
	2226	( pitch_add(inot) < pitch_add_old(inot) + &
	2227	pitch_rate * dt_3d ) ) THEN
[1864]	2228	pitch_sw = .TRUE.
[1912]	2229	!
	2230	!-- Go back to beginning of pit_loop
	2231	CYCLE pit_loop
[1819]	2232	ENDIF
[1912]	2233
	2234	!
	2235	!-- The current pitch is saved for the next time step
	2236	pitch_add_old(inot) = pitch_add(inot)
[1864]	2237	pitch_sw = .FALSE.
[1819]	2238	ENDIF
[1912]	2239	EXIT pit_loop
	2240	ENDDO pit_loop ! Recursive pitch control loop
[1819]	2241
[1864]	2242
[1819]	2243	!
[1864]	2244	!-- Call the rotor speed controller
	2245
[1819]	2246	IF ( speed_control ) THEN
	2247	!
[1864]	2248	!-- Find processor at i_hub, j_hub
[1912]	2249	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2250	THEN
	2251	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2252	THEN
[1864]	2253	CALL wtm_speed_control( inot )
	2254	ENDIF
[1912]	2255	ENDIF
[1864]	2256
[1819]	2257	ENDIF
	2258
	2259
[1864]	2260	CALL cpu_log( log_point_s(62), 'wtm_controller', 'stop' )
[1819]	2261
[1864]	2262	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'start' )
[1819]	2263
	2264
[1864]	2265	!-- !-----------------------------------------------------------------!
	2266	!-- !-- Regularization kernel --!
	2267	!-- !-- Smearing of the forces and interpolation to cartesian grid --!
	2268	!-- !-----------------------------------------------------------------!
[1819]	2269	!
[1864]	2270	!-- The aerodynamic blade forces need to be distributed smoothly on
	2271	!-- several mesh points in order to avoid singular behaviour
[1819]	2272	!
	2273	!-- Summation over sum of weighted forces. The weighting factor
[1864]	2274	!-- (calculated in user_init) includes information on the distance
	2275	!-- between the center of the grid cell and the rotor segment under
	2276	!-- consideration
[1819]	2277	!
[1864]	2278	!-- To save computing time, apply smearing only for the relevant part
	2279	!-- of the model domain:
[1819]	2280	!
	2281	!--
	2282	!-- Calculation of the boundaries:
[1864]	2283	i_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,1) ) + &
	2284	eps_min ) / dx )
	2285	j_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,2) ) + &
	2286	eps_min ) / dy )
[1819]	2287
[1864]	2288	DO i = MAX( nxl, i_hub(inot) - i_smear(inot) ), &
[1819]	2289	MIN( nxr, i_hub(inot) + i_smear(inot) )
[1864]	2290	DO j = MAX( nys, j_hub(inot) - j_smear(inot) ), &
[1819]	2291	MIN( nyn, j_hub(inot) + j_smear(inot) )
[2232]	2292	! DO k = MAX( nzb_u_inner(j,i)+1, k_hub(inot) - k_smear(inot) ), &
	2293	! k_hub(inot) + k_smear(inot)
	2294	DO k = nzb+1, k_hub(inot) + k_smear(inot)
[1819]	2295	DO ring = 1, nrings(inot)
	2296	DO rseg = 1, nsegs(ring,inot)
	2297	!
[2232]	2298	!-- Predetermine flag to mask topography
	2299	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 1 ) )
	2300
	2301	!
[1819]	2302	!-- Determine the square of the distance between the
	2303	!-- current grid point and each rotor area segment:
[1864]	2304	dist_u_3d = ( i * dx - rbx(ring,rseg) )**2 + &
	2305	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
[3065]	2306	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1864]	2307	dist_v_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2308	( j * dy - rby(ring,rseg) )**2 + &
[3065]	2309	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1864]	2310	dist_w_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2311	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
[3065]	2312	( k * dz(1) - rbz(ring,rseg) )**2
[1819]	2313
	2314	!
	2315	!-- 3D-smearing of the forces with a polynomial function
	2316	!-- (much faster than the old Gaussian function), using
	2317	!-- some parameters that have been calculated in user_init.
	2318	!-- The function is only similar to Gaussian function for
	2319	!-- squared distances <= eps_min2:
	2320	IF ( dist_u_3d <= eps_min2 ) THEN
[2232]	2321	thrust(k,j,i) = thrust(k,j,i) + &
	2322	thrust_ring(ring,rseg) * &
	2323	( ( pol_a * dist_u_3d - pol_b ) * &
	2324	dist_u_3d + 1.0_wp ) * eps_factor *&
	2325	flag
[1819]	2326	ENDIF
	2327	IF ( dist_v_3d <= eps_min2 ) THEN
[2232]	2328	torque_y(k,j,i) = torque_y(k,j,i) + &
	2329	torque_ring_y(ring,rseg) * &
	2330	( ( pol_a * dist_v_3d - pol_b ) * &
	2331	dist_v_3d + 1.0_wp ) * eps_factor * &
	2332	flag
[1819]	2333	ENDIF
	2334	IF ( dist_w_3d <= eps_min2 ) THEN
[2232]	2335	torque_z(k,j,i) = torque_z(k,j,i) + &
	2336	torque_ring_z(ring,rseg) * &
	2337	( ( pol_a * dist_w_3d - pol_b ) * &
	2338	dist_w_3d + 1.0_wp ) * eps_factor * &
	2339	flag
[1819]	2340	ENDIF
	2341
	2342	ENDDO ! End of loop over rseg
	2343	ENDDO ! End of loop over ring
	2344
	2345	!
	2346	!-- Rotation of force components:
[2232]	2347	rot_tend_x(k,j,i) = rot_tend_x(k,j,i) + ( &
[1864]	2348	thrust(k,j,i)*rotx(inot,1) + &
	2349	torque_y(k,j,i)*roty(inot,1) + &
[2232]	2350	torque_z(k,j,i)*rotz(inot,1) &
	2351	) * flag
[1819]	2352
[2232]	2353	rot_tend_y(k,j,i) = rot_tend_y(k,j,i) + ( &
[1864]	2354	thrust(k,j,i)*rotx(inot,2) + &
	2355	torque_y(k,j,i)*roty(inot,2) + &
[2232]	2356	torque_z(k,j,i)*rotz(inot,2) &
	2357	) * flag
[1819]	2358
[2232]	2359	rot_tend_z(k,j,i) = rot_tend_z(k,j,i) + ( &
[1864]	2360	thrust(k,j,i)*rotx(inot,3) + &
	2361	torque_y(k,j,i)*roty(inot,3) + &
[2232]	2362	torque_z(k,j,i)*rotz(inot,3) &
	2363	) * flag
[1819]	2364
	2365	ENDDO ! End of loop over k
	2366	ENDDO ! End of loop over j
	2367	ENDDO ! End of loop over i
	2368
[1864]	2369	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'stop' )
[1819]	2370
[1912]	2371	ENDDO !-- end of loop over turbines
[1819]	2372
	2373
	2374	IF ( yaw_control ) THEN
	2375	!
	2376	!-- Allocate arrays for yaw control at first call
	2377	!-- Can't be allocated before dt_3d is set
	2378	IF ( start_up ) THEN
[1864]	2379	WDLON = NINT( 30.0_wp / dt_3d ) ! 30s running mean array
[1819]	2380	ALLOCATE( wd30(1:nturbines,1:WDLON) )
[1912]	2381	wd30 = 999.0_wp ! Set to dummy value
[1819]	2382	ALLOCATE( wd30_l(1:WDLON) )
	2383
[1864]	2384	WDSHO = NINT( 2.0_wp / dt_3d ) ! 2s running mean array
[1819]	2385	ALLOCATE( wd2(1:nturbines,1:WDSHO) )
[1912]	2386	wd2 = 999.0_wp ! Set to dummy value
[1819]	2387	ALLOCATE( wd2_l(1:WDSHO) )
	2388	start_up = .FALSE.
	2389	ENDIF
	2390
	2391	!
	2392	!-- Calculate the inflow wind speed
	2393	!--
	2394	!-- Loop over number of turbines:
	2395	DO inot = 1, nturbines
	2396	!
	2397	!-- Find processor at i_hub, j_hub
[1912]	2398	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2399	THEN
	2400	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2401	THEN
[1864]	2402
[1819]	2403	u_inflow_l(inot) = u(k_hub(inot),j_hub(inot),i_hub(inot))
[1864]	2404
[1912]	2405	wdir_l(inot) = -1.0_wp * ATAN2( &
	2406	0.5_wp * ( v(k_hub(inot),j_hub(inot),i_hub(inot)+1) + &
	2407	v(k_hub(inot),j_hub(inot),i_hub(inot)) ) , &
	2408	0.5_wp * ( u(k_hub(inot),j_hub(inot)+1,i_hub(inot)) + &
	2409	u(k_hub(inot),j_hub(inot),i_hub(inot)) ) )
[1864]	2410
	2411	CALL wtm_yawcontrol( inot )
	2412
[1819]	2413	phi_yaw_l(inot) = phi_yaw(inot)
[2015]	2414
[1819]	2415	ENDIF
	2416	ENDIF
	2417
[1864]	2418	ENDDO !-- end of loop over turbines
	2419
	2420	!
[1929]	2421	!-- Transfer of information to the other cpus
	2422	#if defined( __parallel )
[1864]	2423	CALL MPI_ALLREDUCE( u_inflow_l, u_inflow, nturbines, MPI_REAL, &
	2424	MPI_SUM, comm2d, ierr )
	2425	CALL MPI_ALLREDUCE( wdir_l, wdir, nturbines, MPI_REAL, MPI_SUM, &
	2426	comm2d, ierr )
	2427	CALL MPI_ALLREDUCE( phi_yaw_l, phi_yaw, nturbines, MPI_REAL, &
	2428	MPI_SUM, comm2d, ierr )
[1929]	2429	#else
	2430	u_inflow = u_inflow_l
	2431	wdir = wdir_l
	2432	phi_yaw = phi_yaw_l
[2015]	2433
	2434
[1929]	2435	#endif
[1819]	2436	DO inot = 1, nturbines
[1864]	2437	!
	2438	!-- Update rotor orientation
	2439	CALL wtm_rotate_rotor( inot )
[1819]	2440
	2441	ENDDO ! End of loop over turbines
	2442
[2894]	2443	ENDIF ! end of yaw control
[1864]	2444
	2445	IF ( speed_control ) THEN
	2446	!
	2447	!-- Transfer of information to the other cpus
[1912]	2448	! CALL MPI_ALLREDUCE( omega_gen, omega_gen_old, nturbines, &
	2449	! MPI_REAL,MPI_SUM, comm2d, ierr )
[1929]	2450	#if defined( __parallel )
[1864]	2451	CALL MPI_ALLREDUCE( torque_gen, torque_gen_old, nturbines, &
	2452	MPI_REAL, MPI_SUM, comm2d, ierr )
	2453	CALL MPI_ALLREDUCE( omega_rot_l, omega_rot, nturbines, &
	2454	MPI_REAL, MPI_SUM, comm2d, ierr )
[1912]	2455	CALL MPI_ALLREDUCE( omega_gen_f, omega_gen_f_old, nturbines, &
	2456	MPI_REAL, MPI_SUM, comm2d, ierr )
[1929]	2457	#else
	2458	torque_gen_old = torque_gen
	2459	omega_rot = omega_rot_l
	2460	omega_gen_f_old = omega_gen_f
	2461	#endif
[1864]	2462
	2463	ENDIF
[1819]	2464
	2465	DO inot = 1, nturbines
	2466
	2467	IF ( myid == 0 ) THEN
	2468	IF ( openfile_turb_mod(400+inot)%opened ) THEN
	2469	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2470	omega_gen(inot), torque_gen_old(inot), &
[1864]	2471	torque_total(inot), pitch_add(inot), &
[1912]	2472	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2473	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2474	thrust_rotor(inot), &
[1864]	2475	wdir(inot)*180.0_wp/pi, &
	2476	(phi_yaw(inot))*180.0_wp/pi
[1912]	2477
[1819]	2478	ELSE
	2479
[2669]	2480	WRITE ( turbine_id,'(A2,I2.2)') '_T', inot
	2481	OPEN ( 400+inot, FILE=( 'WTM_OUTPUT_DATA' // &
	2482	TRIM( coupling_char ) // &
	2483	turbine_id ), FORM='FORMATTED' )
[1819]	2484	WRITE ( 400+inot, 105 ) inot
	2485	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2486	omega_gen(inot), torque_gen_old(inot), &
[1864]	2487	torque_total(inot), pitch_add(inot), &
[1912]	2488	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2489	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2490	thrust_rotor(inot), &
[1864]	2491	wdir(inot)*180.0_wp/pi, &
	2492	(phi_yaw(inot))*180.0_wp/pi
[1819]	2493	ENDIF
	2494	ENDIF
	2495
[1912]	2496	!-- Set open flag
[1819]	2497	openfile_turb_mod(400+inot)%opened = .TRUE.
[1864]	2498	ENDDO !-- end of loop over turbines
[1819]	2499
	2500	ENDIF
	2501
[1864]	2502	CALL cpu_log( log_point_s(61), 'wtm_forces', 'stop' )
[1819]	2503
[1912]	2504	!
	2505	!-- Formats
[1819]	2506	105 FORMAT ('Turbine control data for turbine ',I2,1X,':'/ &
	2507	&'----------------------------------------'/ &
	2508	&' Time RSpeed GSpeed ', &
[1912]	2509	'GenTorque AeroTorque Pitch Power(Gen) Power(Rot) ', &
	2510	'RotThrust WDirection YawOrient')
[1819]	2511
[1864]	2512	106 FORMAT (F9.3,2X,F7.3,2X,F7.2,2X,F9.1,3X,F9.1,1X,F6.2,2X,F10.1,2X, &
	2513	F10.1,1X,F9.1,2X,F7.2,1X,F7.2)
[1819]	2514
	2515
	2516	END SUBROUTINE wtm_forces
	2517
	2518
[1839]	2519	!------------------------------------------------------------------------------!
	2520	! Description:
	2521	! ------------
	2522	!> Yaw controller for the wind turbine model
	2523	!------------------------------------------------------------------------------!
	2524	SUBROUTINE wtm_yawcontrol( inot )
	2525
[1819]	2526	USE kinds
[1839]	2527
	2528	IMPLICIT NONE
[1819]	2529
	2530	INTEGER(iwp) :: inot
	2531	INTEGER(iwp) :: i_wd_30
	2532	REAL(wp) :: missal
	2533
	2534	i_wd_30 = 0_iwp
	2535
	2536	!
[1864]	2537	!-- The yaw controller computes a 30s running mean of the wind direction.
	2538	!-- If the difference between turbine alignment and wind direction exceeds
	2539	!-- 5Â°, the turbine is yawed. The mechanism stops as soon as the 2s-running
	2540	!-- mean of the missalignment is smaller than 0.5Â°.
	2541	!-- Attention: If the timestep during the simulation changes significantly
	2542	!-- the lengths of the running means change and it does not correspond to
	2543	!-- 30s/2s anymore.
	2544	!-- ! Needs to be modified for these situations !
	2545	!-- For wind from the east, the averaging of the wind direction could cause
	2546	!-- problems and the yaw controller is probably flawed. -> Routine for
	2547	!-- averaging needs to be improved!
	2548	!
	2549	!-- Check if turbine is not yawing
[1819]	2550	IF ( .NOT. doyaw(inot) ) THEN
[1843]	2551	!
[1864]	2552	!-- Write current wind direction into array
[1843]	2553	wd30_l = wd30(inot,:)
	2554	wd30_l = CSHIFT( wd30_l, SHIFT=-1 )
[1819]	2555	wd30_l(1) = wdir(inot)
[1843]	2556	!
[1864]	2557	!-- Check if array is full ( no more dummies )
[1819]	2558	IF ( .NOT. ANY( wd30_l == 999.) ) THEN
	2559
	2560	missal = SUM( wd30_l ) / SIZE( wd30_l ) - phi_yaw(inot)
	2561	!
[1864]	2562	!-- Check if turbine is missaligned by more than max_miss
[1843]	2563	IF ( ABS( missal ) > max_miss ) THEN
	2564	!
[1864]	2565	!-- Check in which direction to yaw
[1843]	2566	yawdir(inot) = SIGN( 1.0_wp, missal )
[1819]	2567	!
[1864]	2568	!-- Start yawing of turbine
[1843]	2569	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2570	doyaw(inot) = .TRUE.
[1864]	2571	wd30_l = 999. ! fill with dummies again
[1819]	2572	ENDIF
	2573	ENDIF
	2574
	2575	wd30(inot,:) = wd30_l
	2576
	2577	!
[1864]	2578	!-- If turbine is already yawing:
	2579	!-- Initialize 2 s running mean and yaw until the missalignment is smaller
	2580	!-- than min_miss
[1819]	2581
	2582	ELSE
	2583	!
	2584	!-- Initialize 2 s running mean
	2585	wd2_l = wd2(inot,:)
[1864]	2586	wd2_l = CSHIFT( wd2_l, SHIFT = -1 )
[1819]	2587	wd2_l(1) = wdir(inot)
[1843]	2588	!
[1864]	2589	!-- Check if array is full ( no more dummies )
	2590	IF ( .NOT. ANY( wd2_l == 999.0_wp ) ) THEN
	2591	!
	2592	!-- Calculate missalignment of turbine
[1819]	2593	missal = SUM( wd2_l - phi_yaw(inot) ) / SIZE( wd2_l )
[1864]	2594	!
	2595	!-- Check if missalignment is still larger than 0.5 degree and if the
	2596	!-- yaw direction is still right
	2597	IF ( ( ABS( missal ) > min_miss ) .AND. &
	2598	( yawdir(inot) == SIGN( 1.0_wp, missal ) ) ) THEN
	2599	!
	2600	!-- Continue yawing
	2601	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2602	ELSE
[1864]	2603	!
	2604	!-- Stop yawing
[1819]	2605	doyaw(inot) = .FALSE.
[1864]	2606	wd2_l = 999.0_wp ! fill with dummies again
[1819]	2607	ENDIF
	2608	ELSE
[1864]	2609	!
	2610	!-- Continue yawing
[1843]	2611	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2612	ENDIF
	2613
	2614	wd2(inot,:) = wd2_l
	2615
	2616	ENDIF
	2617
[1839]	2618	END SUBROUTINE wtm_yawcontrol
[1819]	2619
[1864]	2620
[1819]	2621	!------------------------------------------------------------------------------!
	2622	! Description:
	2623	! ------------
[1864]	2624	!> Initialization of the speed control
	2625	!------------------------------------------------------------------------------!
	2626	SUBROUTINE wtm_init_speed_control
	2627
	2628
	2629	IMPLICIT NONE
	2630
	2631	!
	2632	!-- If speed control is set, remaining variables and control_parameters for
	2633	!-- the control algorithm are calculated
	2634	!
	2635	!-- Calculate slope constant for region 15
	2636	slope15 = ( slope2 * min_reg2 * min_reg2 ) / ( min_reg2 - min_reg15 )
	2637	!
	2638	!-- Calculate upper limit of slipage region
	2639	vs_sysp = rated_genspeed / 1.1_wp
	2640	!
	2641	!-- Calculate slope of slipage region
	2642	slope25 = ( rated_power / rated_genspeed ) / &
	2643	( rated_genspeed - vs_sysp )
	2644	!
	2645	!-- Calculate lower limit of slipage region
	2646	min_reg25 = ( slope25 - SQRT( slope25 * ( slope25 - 4.0_wp * &
	2647	slope2 * vs_sysp ) ) ) / &
[2410]	2648	( 2.0_wp * slope2 )
[1864]	2649	!
	2650	!-- Frequency for the simple low pass filter
	2651	Fcorner = 0.25_wp
	2652	!
	2653	!-- At the first timestep the torque is set to its maximum to prevent
	2654	!-- an overspeeding of the rotor
[2563]	2655	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	2656	torque_gen_old(:) = max_torque_gen
	2657	ENDIF
[1864]	2658
	2659	END SUBROUTINE wtm_init_speed_control
	2660
	2661
	2662	!------------------------------------------------------------------------------!
	2663	! Description:
	2664	! ------------
	2665	!> Simple controller for the regulation of the rotor speed
	2666	!------------------------------------------------------------------------------!
	2667	SUBROUTINE wtm_speed_control( inot )
	2668
	2669
	2670	IMPLICIT NONE
	2671
[1912]	2672	INTEGER(iwp) :: inot
	2673
	2674
[1864]	2675
	2676	!
	2677	!-- The controller is based on the fortran script from Jonkman
	2678	!-- et al. 2009 "Definition of a 5 MW Reference Wind Turbine for
	2679	!-- offshore system developement"
	2680
	2681	!
	2682	!-- The generator speed is filtered by a low pass filter
	2683	!-- for the control of the generator torque
	2684	lp_coeff = EXP( -2.0_wp * 3.14_wp * dt_3d * Fcorner )
[1912]	2685	omega_gen_f(inot) = ( 1.0_wp - lp_coeff ) * omega_gen(inot) + lp_coeff *&
[1864]	2686	omega_gen_f_old(inot)
	2687
	2688	IF ( omega_gen_f(inot) <= min_reg15 ) THEN
	2689	!
	2690	!-- Region 1: Generator torque is set to zero to accelerate the rotor:
	2691	torque_gen(inot) = 0
	2692
	2693	ELSEIF ( omega_gen_f(inot) <= min_reg2 ) THEN
	2694	!
	2695	!-- Region 1.5: Generator torque is increasing linearly with rotor speed:
	2696	torque_gen(inot) = slope15 * ( omega_gen_f(inot) - min_reg15 )
	2697
	2698	ELSEIF ( omega_gen_f(inot) <= min_reg25 ) THEN
	2699	!
	2700	!-- Region 2: Generator torque is increased by the square of the generator
	2701	!-- speed to keep the TSR optimal:
	2702	torque_gen(inot) = slope2 * omega_gen_f(inot) * omega_gen_f(inot)
	2703
	2704	ELSEIF ( omega_gen_f(inot) < rated_genspeed ) THEN
	2705	!
	2706	!-- Region 2.5: Slipage region between 2 and 3:
	2707	torque_gen(inot) = slope25 * ( omega_gen_f(inot) - vs_sysp )
	2708
	2709	ELSE
	2710	!
	2711	!-- Region 3: Generator torque is antiproportional to the rotor speed to
	2712	!-- keep the power constant:
	2713	torque_gen(inot) = rated_power / omega_gen_f(inot)
	2714
	2715	ENDIF
	2716	!
	2717	!-- Calculate torque rate and confine with a max
	2718	trq_rate = ( torque_gen(inot) - torque_gen_old(inot) ) / dt_3d
	2719	trq_rate = MIN( MAX( trq_rate, -1.0_wp * max_trq_rate ), max_trq_rate )
	2720	!
	2721	!-- Calculate new gen torque and confine with max torque
	2722	torque_gen(inot) = torque_gen_old(inot) + trq_rate * dt_3d
	2723	torque_gen(inot) = MIN( torque_gen(inot), max_torque_gen )
	2724	!
	2725	!-- Overwrite values for next timestep
[1912]	2726	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
[1864]	2727
	2728
	2729	END SUBROUTINE wtm_speed_control
	2730
	2731
	2732	!------------------------------------------------------------------------------!
	2733	! Description:
	2734	! ------------
[1839]	2735	!> Application of the additional forces generated by the wind turbine on the
	2736	!> flow components (tendency terms)
	2737	!> Call for all grid points
[1819]	2738	!------------------------------------------------------------------------------!
	2739	SUBROUTINE wtm_tendencies( component )
	2740
[1839]	2741
[1819]	2742	IMPLICIT NONE
	2743
[1839]	2744	INTEGER(iwp) :: component !< prognostic variable (u,v,w)
	2745	INTEGER(iwp) :: i !< running index
	2746	INTEGER(iwp) :: j !< running index
	2747	INTEGER(iwp) :: k !< running index
[1819]	2748
	2749
	2750	SELECT CASE ( component )
	2751
	2752	CASE ( 1 )
	2753	!
	2754	!-- Apply the x-component of the force to the u-component of the flow:
[1864]	2755	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2756	DO i = nxlg, nxrg
	2757	DO j = nysg, nyng
[2553]	2758	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	2759	!
[1864]	2760	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2761	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[2553]	2762	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2763	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2764	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2553]	2765
[2232]	2766	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	2767	- tend_nac_x - tend_tow_x ) &
	2768	* MERGE( 1.0_wp, 0.0_wp, &
	2769	BTEST( wall_flags_0(k,j,i), 1 ) )
[1819]	2770	ENDDO
	2771	ENDDO
	2772	ENDDO
	2773	ENDIF
	2774
	2775	CASE ( 2 )
	2776	!
	2777	!-- Apply the y-component of the force to the v-component of the flow:
[1864]	2778	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2779	DO i = nxlg, nxrg
	2780	DO j = nysg, nyng
[2553]	2781	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	2782	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2783	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2784	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2785	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	2786	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	2787	- tend_nac_y - tend_tow_y ) &
	2788	* MERGE( 1.0_wp, 0.0_wp, &
	2789	BTEST( wall_flags_0(k,j,i), 2 ) )
[1819]	2790	ENDDO
	2791	ENDDO
	2792	ENDDO
	2793	ENDIF
	2794
	2795	CASE ( 3 )
	2796	!
	2797	!-- Apply the z-component of the force to the w-component of the flow:
[1864]	2798	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2799	DO i = nxlg, nxrg
	2800	DO j = nysg, nyng
[2553]	2801	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	2802	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	2803	* MERGE( 1.0_wp, 0.0_wp, &
	2804	BTEST( wall_flags_0(k,j,i), 3 ) )
[1819]	2805	ENDDO
	2806	ENDDO
	2807	ENDDO
	2808	ENDIF
	2809
	2810
	2811	CASE DEFAULT
	2812
	2813	WRITE( message_string, * ) 'unknown prognostic variable: ', component
	2814	CALL message( 'wtm_tendencies', 'PA04??', 1, 2, 0, 6, 0 )
	2815
	2816	END SELECT
	2817
	2818
	2819	END SUBROUTINE wtm_tendencies
	2820
	2821
	2822	!------------------------------------------------------------------------------!
	2823	! Description:
	2824	! ------------
[1839]	2825	!> Application of the additional forces generated by the wind turbine on the
	2826	!> flow components (tendency terms)
	2827	!> Call for grid point i,j
[1819]	2828	!------------------------------------------------------------------------------!
	2829	SUBROUTINE wtm_tendencies_ij( i, j, component )
	2830
	2831
	2832	IMPLICIT NONE
	2833
[1839]	2834	INTEGER(iwp) :: component !< prognostic variable (u,v,w)
	2835	INTEGER(iwp) :: i !< running index
	2836	INTEGER(iwp) :: j !< running index
	2837	INTEGER(iwp) :: k !< running index
[1819]	2838
	2839	SELECT CASE ( component )
	2840
	2841	CASE ( 1 )
	2842	!
	2843	!-- Apply the x-component of the force to the u-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)
[1819]	2846	!
[1839]	2847	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2848	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2849	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2850	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2851	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2232]	2852	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	2853	- tend_nac_x - tend_tow_x ) &
	2854	* MERGE( 1.0_wp, 0.0_wp, &
[2553]	2855	BTEST( wall_flags_0(k,j,i), 1 ) )
[1819]	2856	ENDDO
	2857	ENDIF
	2858
	2859	CASE ( 2 )
	2860	!
	2861	!-- Apply the y-component of the force to the v-component of the flow:
[1839]	2862	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2863	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	2864	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2865	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2866	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2867	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	2868	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	2869	- tend_nac_y - tend_tow_y ) &
	2870	* MERGE( 1.0_wp, 0.0_wp, &
	2871	BTEST( wall_flags_0(k,j,i), 2 ) )
[2553]	2872	ENDDO
[1819]	2873	ENDIF
	2874
	2875	CASE ( 3 )
	2876	!
	2877	!-- Apply the z-component of the force to the w-component of the flow:
[1839]	2878	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2879	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	2880	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	2881	* MERGE( 1.0_wp, 0.0_wp, &
	2882	BTEST( wall_flags_0(k,j,i), 3 ) )
[1819]	2883	ENDDO
	2884	ENDIF
	2885
	2886
	2887	CASE DEFAULT
	2888
	2889	WRITE( message_string, * ) 'unknown prognostic variable: ', component
	2890	CALL message( 'wtm_tendencies', 'PA04??', 1, 2, 0, 6, 0 )
	2891
	2892	END SELECT
	2893
	2894
	2895	END SUBROUTINE wtm_tendencies_ij
	2896
	2897	END MODULE wind_turbine_model_mod

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