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source: palm/trunk/SOURCE/wind_turbine_model_mod.f90 @ 3246

Last change on this file since 3246 was 3246, checked in by sward, 6 years ago
Added error handling for wrong input parameters
Property svn:keywords set to `Id`
File size: 120.2 KB

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[1820]	1	!> @file wind_turbine_model_mod.f90
[1912]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1819]	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1819]	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
[2718]	17	! Copyright 2009-2018 Carl von Ossietzky Universitaet Oldenburg
	18	! Copyright 1997-2018 Leibniz Universitaet Hannover
[1912]	19	!------------------------------------------------------------------------------!
[1819]	20	!
	21	! Current revisions:
	22	! -----------------
[1913]	23	!
[3139]	24	!
[1913]	25	! Former revisions:
	26	! -----------------
	27	! $Id: wind_turbine_model_mod.f90 3246 2018-09-13 15:14:50Z sward $
[3246]	28	! Added error handling for input namelist via parin_fail_message
	29	!
	30	! 3241 2018-09-12 15:02:00Z raasch
[3241]	31	! unused variables removed
	32	!
	33	! 3182 2018-07-27 13:36:03Z suehring
[3174]	34	! Check for vertical stretching has been revised.
	35	!
	36	! 3139 2018-07-17 11:30:10Z Giersch
[3139]	37	! Bugfix in calculation of alpha_attack
	38	!
	39	! 3069 2018-06-15 07:56:09Z witha
[3069]	40	! Initialization of some arrays added
	41	!
	42	! 3066 2018-06-12 08:55:55Z Giersch
[3066]	43	! Error message revised
[3069]	44	!
[3066]	45	! 3065 2018-06-12 07:03:02Z Giersch
[3065]	46	! dz was replaced by dz(1), error message concerning grid stretching has been
	47	! introduced
	48	!
	49	! 3049 2018-05-29 13:52:36Z Giersch
[3049]	50	! Error messages revised
	51	!
	52	! 2932 2018-03-26 09:39:22Z Giersch
[2932]	53	! renamed wind_turbine_par to wind_turbine_parameters
	54	!
	55	! 2894 2018-03-15 09:17:58Z Giersch
[2894]	56	! variable named found has been introduced for checking if restart data was
	57	! found, reading of restart strings has been moved completely to
	58	! read_restart_data_mod, wind_turbine_prerun flag has been removed, redundant
	59	! skipping function has been removed, wtm_read/write_restart_data have been
	60	! renamed to wtm_r/wrd_global, wtm_rrd_global is called in
	61	! read_restart_data_mod now, marker * end wtm * was removed, strings and
	62	! their respective lengths are written out and read now in case of restart
	63	! runs to get rid of prescribed character lengths, CASE DEFAULT was added if
	64	! restart data is read
	65	!
	66	! 2885 2018-03-14 11:02:46Z Giersch
[2836]	67	! Bugfix in interpolation of lift and drag coefficients on fine grid of radius
	68	! segments and angles of attack, speed-up of the initialization of the wind
	69	! turbine model
	70	!
	71	! 2792 2018-02-07 06:45:29Z Giersch
[2792]	72	! omega_rot_l has to be calculated after determining the indices for the hub in
	73	! case of restart runs
	74	!
	75	! 2776 2018-01-31 10:44:42Z Giersch
[2776]	76	! wind_turbine_prerun flag is used to define if module
	77	! related parameters were outputted as restart data
	78	!
	79	! 2718 2018-01-02 08:49:38Z maronga
[2716]	80	! Corrected "Former revisions" section
	81	!
	82	! 2696 2017-12-14 17:12:51Z kanani
	83	! Change in file header (GPL part)
	84	!
	85	! 2669 2017-12-06 16:03:27Z raasch
[2669]	86	! filename of turbine output changed to WTM_OUTPUT_DATA. File extension now
	87	! includes the nest domain number. Turbine extension changed to "_T##"
	88	!
	89	! 2576 2017-10-24 13:49:46Z Giersch
[2894]	90	! Definition of a new function called wtm_skip_global to skip module
[2576]	91	! parameters during reading restart data
	92	!
	93	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	94	! Restart runs with wind turbine model are possible now. For this purpose, two
	95	! new subroutines wtm_write_restart_data and wtm_read_restart_data had to be
	96	! defined
	97	!
	98	! 2553 2017-10-18 08:03:45Z Giersch
[2553]	99	! Bugfix of vertical loop in wtm_tendencies to account for different turbine
	100	! heights, bugfix of the interpolation of the u-component concerning the
	101	! vertical index and further small adjustments of the programming style
	102	!
	103	! 2410 2017-09-06 08:16:30Z Giersch
[2410]	104	! Revise error message PA0462
	105	!
	106	! 2349 2017-08-10 15:44:04Z Giersch
[2349]	107	! Add parameter pitch_rate to namelist and revise/add error messages
	108	!
	109	! 2343 2017-08-08 11:28:43Z Giersch
[2341]	110	! Unit correction in Doxygen comments
[2323]	111	!
[2343]	112	! 2323 2017-07-26 12:57:38Z Giersch
	113	! Change unit number of file WTM_DATA from 201 to 90
	114	!
[2323]	115	! 2322 2017-07-26 08:30:28Z Giersch
[2322]	116	! Bugfix of error message and assign error numbers
	117	!
	118	! 2257 2017-06-07 14:07:05Z witha
[2257]	119	! Bugfix: turb_cl_tab and turb_cd_tab were set to zero before being allocated
[1844]	120	!
[2257]	121	! 2233 2017-05-30 18:08:54Z suehring
	122	!
[2233]	123	! 2232 2017-05-30 17:47:52Z suehring
	124	! Adjustments to new topography concept
	125	!
[2153]	126	! 2152 2017-02-17 13:27:24Z lvollmer
	127	! Bugfix in subroutine wtm_read_blade_tables
	128	! Addition of a tip loss model
	129	!
[2016]	130	! 2015 2016-09-28 08:45:18Z lvollmer
	131	! Bugfix of pitch control
	132	!
[2001]	133	! 2000 2016-08-20 18:09:15Z knoop
	134	! Forced header and separation lines into 80 columns
	135	!
[1930]	136	! 1929 2016-06-09 16:25:25Z suehring
	137	! Bugfix: added preprocessor directives for parallel and serial mode
	138	!
[1917]	139	! 1914 2016-05-26 14:44:07Z witha
[1821]	140	! Initial revision
	141	!
[1819]	142	!
	143	! Description:
	144	! ------------
	145	!> This module calculates the effect of wind turbines on the flow fields. The
	146	!> initial version contains only the advanced actuator disk with rotation method
	147	!> (ADM-R).
	148	!> The wind turbines include the tower effect, can be yawed and tilted.
	149	!> The wind turbine model includes controllers for rotational speed, pitch and
	150	!> yaw.
	151	!> Currently some specifications of the NREL 5 MW reference turbine
	152	!> are hardcoded whereas most input data comes from separate files (currently
	153	!> external, planned to be included as namelist which will be read in
	154	!> automatically).
	155	!>
[3065]	156	!> @todo Replace dz(1) appropriatly to account for grid stretching
[1819]	157	!> @todo Revise code according to PALM Coding Standard
	158	!> @todo Implement ADM and ALM turbine models
	159	!> @todo Generate header information
[1917]	160	!> @todo Implement further parameter checks and error messages
[1819]	161	!> @todo Revise and add code documentation
	162	!> @todo Output turbine parameters as timeseries
	163	!> @todo Include additional output variables
[1864]	164	!> @todo Revise smearing the forces for turbines in yaw
	165	!> @todo Revise nacelle and tower parameterization
	166	!> @todo Allow different turbine types in one simulation
[1819]	167	!
	168	!------------------------------------------------------------------------------!
	169	MODULE wind_turbine_model_mod
	170
	171	USE arrays_3d, &
[2553]	172	ONLY: tend, u, v, w, zu, zw
[1819]	173
[2553]	174	USE constants, &
	175	ONLY: pi
[1819]	176
	177	USE control_parameters, &
[2669]	178	ONLY: coupling_char, dt_3d, dz, message_string, simulated_time, &
[2894]	179	wind_turbine, initializing_actions
[1819]	180
	181	USE cpulog, &
	182	ONLY: cpu_log, log_point_s
	183
	184	USE grid_variables, &
	185	ONLY: ddx, dx, ddy, dy
	186
	187	USE indices, &
	188	ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nz, &
[2232]	189	nzb, nzt, wall_flags_0
[1819]	190
	191	USE kinds
	192
	193	USE pegrid
	194
	195
	196	IMPLICIT NONE
	197
[1864]	198	PRIVATE
[1819]	199
	200	!
	201	!-- Variables specified in the namelist wind_turbine_par
	202
[1864]	203	INTEGER(iwp) :: nairfoils = 8 !< number of airfoils of the used turbine model (for ADM-R and ALM)
[1839]	204	INTEGER(iwp) :: nturbines = 1 !< number of turbines
[1819]	205
[1839]	206	LOGICAL :: pitch_control = .FALSE. !< switch for use of pitch controller
	207	LOGICAL :: speed_control = .FALSE. !< switch for use of speed controller
	208	LOGICAL :: yaw_control = .FALSE. !< switch for use of yaw controller
[2152]	209	LOGICAL :: tl_cor = .FALSE. !< switch for use of tip loss correct.
[1819]	210
[1839]	211	REAL(wp) :: segment_length = 1.0_wp !< length of the segments, the rotor area is divided into
	212	!< (in tangential direction, as factor of MIN(dx,dy,dz))
	213	REAL(wp) :: segment_width = 0.5_wp !< width of the segments, the rotor area is divided into
	214	!< (in radial direction, as factor of MIN(dx,dy,dz))
	215	REAL(wp) :: time_turbine_on = 0.0_wp !< time at which turbines are started
	216	REAL(wp) :: tilt = 0.0_wp !< vertical tilt of the rotor [degree] ( positive = backwards )
[1819]	217
[1912]	218	REAL(wp), DIMENSION(1:100) :: dtow = 0.0_wp !< tower diameter [m]
[2553]	219	REAL(wp), DIMENSION(1:100) :: omega_rot = 0.9_wp !< inital or constant rotor speed [rad/s]
[1912]	220	REAL(wp), DIMENSION(1:100) :: phi_yaw = 0.0_wp !< yaw angle [degree] ( clockwise, 0 = facing west )
	221	REAL(wp), DIMENSION(1:100) :: pitch_add = 0.0_wp !< constant pitch angle
	222	REAL(wp), DIMENSION(1:100) :: rcx = 9999999.9_wp !< position of hub in x-direction
	223	REAL(wp), DIMENSION(1:100) :: rcy = 9999999.9_wp !< position of hub in y-direction
	224	REAL(wp), DIMENSION(1:100) :: rcz = 9999999.9_wp !< position of hub in z-direction
	225	REAL(wp), DIMENSION(1:100) :: rnac = 0.0_wp !< nacelle diameter [m]
	226	REAL(wp), DIMENSION(1:100) :: rr = 63.0_wp !< rotor radius [m]
	227	REAL(wp), DIMENSION(1:100) :: turb_cd_nacelle = 0.85_wp !< drag coefficient for nacelle
	228	REAL(wp), DIMENSION(1:100) :: turb_cd_tower = 1.2_wp !< drag coefficient for tower
[1839]	229
[1819]	230	!
	231	!-- Variables specified in the namelist for speed controller
	232	!-- Default values are from the NREL 5MW research turbine (Jonkman, 2008)
	233
[1912]	234	REAL(wp) :: rated_power = 5296610.0_wp !< rated turbine power [W]
[1839]	235	REAL(wp) :: gear_ratio = 97.0_wp !< Gear ratio from rotor to generator
[2341]	236	REAL(wp) :: inertia_rot = 34784179.0_wp !< Inertia of the rotor [kg*m2]
	237	REAL(wp) :: inertia_gen = 534.116_wp !< Inertia of the generator [kg*m2]
[1839]	238	REAL(wp) :: gen_eff = 0.944_wp !< Electric efficiency of the generator
	239	REAL(wp) :: gear_eff = 1.0_wp !< Loss between rotor and generator
	240	REAL(wp) :: air_dens = 1.225_wp !< Air density to convert to W [kg/m3]
	241	REAL(wp) :: rated_genspeed = 121.6805_wp !< Rated generator speed [rad/s]
[1912]	242	REAL(wp) :: max_torque_gen = 47402.91_wp !< Maximum of the generator torque [Nm]
[1839]	243	REAL(wp) :: slope2 = 2.332287_wp !< Slope constant for region 2
	244	REAL(wp) :: min_reg2 = 91.21091_wp !< Lower generator speed boundary of region 2 [rad/s]
	245	REAL(wp) :: min_reg15 = 70.16224_wp !< Lower generator speed boundary of region 1.5 [rad/s]
[1912]	246	REAL(wp) :: max_trq_rate = 15000.0_wp !< Max generator torque increase [Nm/s]
	247	REAL(wp) :: pitch_rate = 8.0_wp !< Max pitch rate [degree/s]
[1839]	248
[1912]	249
[1819]	250	!
	251	!-- Variables specified in the namelist for yaw control
	252
[1839]	253	REAL(wp) :: yaw_speed = 0.005236_wp !< speed of the yaw actuator [rad/s]
	254	REAL(wp) :: max_miss = 0.08726_wp !< maximum tolerated yaw missalignment [rad]
	255	REAL(wp) :: min_miss = 0.008726_wp !< minimum yaw missalignment for which the actuator stops [rad]
	256
[1819]	257	!
	258	!-- Set flag for output files TURBINE_PARAMETERS
	259	TYPE file_status
	260	LOGICAL :: opened, opened_before
	261	END TYPE file_status
	262
[1912]	263	TYPE(file_status), DIMENSION(500) :: openfile_turb_mod = &
	264	file_status(.FALSE.,.FALSE.)
[1819]	265
	266	!
	267	!-- Variables for initialization of the turbine model
	268
[1839]	269	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	270	INTEGER(iwp) :: nsegs_max !< maximum number of segments (all turbines, required for allocation of arrays)
	271	INTEGER(iwp) :: nrings_max !< maximum number of rings (all turbines, required for allocation of arrays)
	272	INTEGER(iwp) :: ring !< ring loop index (ring number)
	273	INTEGER(iwp) :: upper_end !<
[1819]	274
[1839]	275	INTEGER(iwp), DIMENSION(1) :: lct !<
[1819]	276
[1912]	277	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_hub !< index belonging to x-position of the turbine
	278	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_smear !< index defining the area for the smearing of the forces (x-direction)
	279	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_hub !< index belonging to y-position of the turbine
	280	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_smear !< index defining the area for the smearing of the forces (y-direction)
	281	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_hub !< index belonging to hub height
	282	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_smear !< index defining the area for the smearing of the forces (z-direction)
	283	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nrings !< number of rings per turbine
	284	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nsegs_total !< total number of segments per turbine
[1819]	285
[1912]	286	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nsegs !< number of segments per ring and turbine
[1819]	287
[1912]	288	!
	289	!- parameters for the smearing from the rotor to the cartesian grid
[1864]	290	REAL(wp) :: pol_a !< parameter for the polynomial smearing fct
	291	REAL(wp) :: pol_b !< parameter for the polynomial smearing fct
[1912]	292	REAL(wp) :: delta_t_factor !<
[1864]	293	REAL(wp) :: eps_factor !<
[1839]	294	REAL(wp) :: eps_min !<
	295	REAL(wp) :: eps_min2 !<
	296	REAL(wp) :: sqrt_arg !<
[1819]	297
[1839]	298	!
	299	!-- Variables for the calculation of lift and drag coefficients
[1912]	300	REAL(wp), DIMENSION(:), ALLOCATABLE :: ard !<
	301	REAL(wp), DIMENSION(:), ALLOCATABLE :: crd !<
	302	REAL(wp), DIMENSION(:), ALLOCATABLE :: delta_r !< radial segment length
	303	REAL(wp), DIMENSION(:), ALLOCATABLE :: lrd !<
[1864]	304
[1912]	305	REAL(wp) :: accu_cl_cd_tab = 0.1_wp !< Accuracy of the interpolation of
	306	!< the lift and drag coeff [deg]
[1819]	307
[1912]	308	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_tab !< table of the blade drag coefficient
	309	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_tab !< table of the blade lift coefficient
[1819]	310
[1912]	311	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: nac_cd_surf !< 3d field of the tower drag coefficient
	312	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: tow_cd_surf !< 3d field of the nacelle drag coefficient
[1819]	313
	314	!
	315	!-- Variables for the calculation of the forces
[1912]	316
[1839]	317	REAL(wp) :: cur_r !<
	318	REAL(wp) :: phi_rotor !<
	319	REAL(wp) :: pre_factor !<
	320	REAL(wp) :: torque_seg !<
	321	REAL(wp) :: u_int_l !<
	322	REAL(wp) :: u_int_u !<
	323	REAL(wp) :: u_rot !<
	324	REAL(wp) :: v_int_l !<
	325	REAL(wp) :: v_int_u !<
	326	REAL(wp) :: w_int_l !<
	327	REAL(wp) :: w_int_u !<
[1912]	328	!
	329	!- Tendencies from the nacelle and tower thrust
	330	REAL(wp) :: tend_nac_x = 0.0_wp !<
	331	REAL(wp) :: tend_tow_x = 0.0_wp !<
	332	REAL(wp) :: tend_nac_y = 0.0_wp !<
	333	REAL(wp) :: tend_tow_y = 0.0_wp !<
[1819]	334
[1912]	335	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack !<
	336	REAL(wp), DIMENSION(:), ALLOCATABLE :: chord !<
	337	REAL(wp), DIMENSION(:), ALLOCATABLE :: phi_rel !<
	338	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_total !<
	339	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_rotor !<
	340	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl !<
	341	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd !<
	342	REAL(wp), DIMENSION(:), ALLOCATABLE :: vrel !<
	343	REAL(wp), DIMENSION(:), ALLOCATABLE :: vtheta !<
	344
	345	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rbx, rby, rbz !< coordinates of the blade elements
	346	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rotx, roty, rotz !< normal vectors to the rotor coordinates
	347
	348	!
	349	!- Fields for the interpolation of velocities on the rotor grid
	350	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int !<
	351	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int_1_l !<
	352	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int !<
	353	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int_1_l !<
	354	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int !<
	355	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int_1_l !<
	356
	357	!
	358	!- rotor tendencies on the segments
	359	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_seg !<
	360	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_y !<
	361	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_z !<
	362
	363	!
	364	!- rotor tendencies on the rings
	365	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: thrust_ring !<
	366	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_y !<
	367	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_z !<
	368
	369	!
	370	!- rotor tendencies on rotor grids for all turbines
	371	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: thrust !<
	372	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_y !<
	373	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_z !<
	374
	375	!
	376	!- rotor tendencies on coordinate grid
	377	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_x !<
	378	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_y !<
	379	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_z !<
	380	!
	381	!- variables for the rotation of the rotor coordinates
	382	REAL(wp), DIMENSION(1:100,1:3,1:3) :: rot_coord_trans !< matrix for rotation of rotor coordinates
	383
[1839]	384	REAL(wp), DIMENSION(1:3) :: rot_eigen_rad !<
	385	REAL(wp), DIMENSION(1:3) :: rot_eigen_azi !<
	386	REAL(wp), DIMENSION(1:3) :: rot_eigen_nor !<
	387	REAL(wp), DIMENSION(1:3) :: re !<
	388	REAL(wp), DIMENSION(1:3) :: rea !<
	389	REAL(wp), DIMENSION(1:3) :: ren !<
	390	REAL(wp), DIMENSION(1:3) :: rote !<
	391	REAL(wp), DIMENSION(1:3) :: rota !<
	392	REAL(wp), DIMENSION(1:3) :: rotn !<
[1819]	393
[1839]	394	!
	395	!-- Fixed variables for the speed controller
[1819]	396
[1912]	397	LOGICAL :: start_up = .TRUE. !<
[1864]	398
[1912]	399	REAL(wp) :: Fcorner !< corner freq for the controller low pass filter
	400	REAL(wp) :: min_reg25 !< min region 2.5
	401	REAL(wp) :: om_rate !< rotor speed change
	402	REAL(wp) :: slope15 !< slope in region 1.5
	403	REAL(wp) :: slope25 !< slope in region 2.5
	404	REAL(wp) :: trq_rate !< torque change
	405	REAL(wp) :: vs_sysp !<
	406	REAL(wp) :: lp_coeff !< coeff for the controller low pass filter
[1819]	407
[1864]	408	REAL(wp), DIMENSION(100) :: omega_rot_l = 0.0_wp !< local rot speed [rad/s]
[2563]	409
[1839]	410	!
	411	!-- Fixed variables for the yaw controller
[1819]	412
[1912]	413	REAL(wp), DIMENSION(:) , ALLOCATABLE :: yawdir !< direction to yaw
	414	REAL(wp), DIMENSION(:) , ALLOCATABLE :: phi_yaw_l !< local (cpu) yaw angle
	415	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd30_l !< local (cpu) long running avg of the wd
	416	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd2_l !< local (cpu) short running avg of the wd
	417	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir !< wind direction at hub
	418	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow !< wind speed at hub
	419	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir_l !<
	420	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow_l !<
	421	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd30 !<
	422	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd2 !<
	423	LOGICAL, DIMENSION(1:100) :: doyaw = .FALSE. !<
	424	INTEGER(iwp) :: WDLON !<
	425	INTEGER(iwp) :: WDSHO !<
[1819]	426
[2563]	427	!
	428	!-- Variables that have to be saved in the binary file for restarts
	429	REAL(wp), DIMENSION(1:100) :: pitch_add_old = 0.0_wp !< old constant pitch angle
	430	REAL(wp), DIMENSION(1:100) :: omega_gen = 0.0_wp !< curr. generator speed
	431	REAL(wp), DIMENSION(1:100) :: omega_gen_f = 0.0_wp !< filtered generator speed
	432	REAL(wp), DIMENSION(1:100) :: omega_gen_old = 0.0_wp !< last generator speed
	433	REAL(wp), DIMENSION(1:100) :: omega_gen_f_old = 0.0_wp !< last filtered generator speed
	434	REAL(wp), DIMENSION(1:100) :: torque_gen = 0.0_wp !< generator torque
	435	REAL(wp), DIMENSION(1:100) :: torque_gen_old = 0.0_wp !< last generator torque
[1819]	436
[2563]	437
[1839]	438	SAVE
[1819]	439
[1839]	440
	441	INTERFACE wtm_parin
	442	MODULE PROCEDURE wtm_parin
	443	END INTERFACE wtm_parin
[2563]	444
[2894]	445	INTERFACE wtm_wrd_global
	446	MODULE PROCEDURE wtm_wrd_global
	447	END INTERFACE wtm_wrd_global
[2576]	448
[2894]	449	INTERFACE wtm_rrd_global
	450	MODULE PROCEDURE wtm_rrd_global
	451	END INTERFACE wtm_rrd_global
[1912]	452
	453	INTERFACE wtm_check_parameters
	454	MODULE PROCEDURE wtm_check_parameters
	455	END INTERFACE wtm_check_parameters
[1839]	456
	457	INTERFACE wtm_init_arrays
	458	MODULE PROCEDURE wtm_init_arrays
	459	END INTERFACE wtm_init_arrays
	460
	461	INTERFACE wtm_init
	462	MODULE PROCEDURE wtm_init
	463	END INTERFACE wtm_init
	464
[1912]	465	INTERFACE wtm_read_blade_tables
	466	MODULE PROCEDURE wtm_read_blade_tables
	467	END INTERFACE wtm_read_blade_tables
[1839]	468
[1819]	469	INTERFACE wtm_forces
	470	MODULE PROCEDURE wtm_forces
[2553]	471	END INTERFACE wtm_forces
	472
	473	INTERFACE wtm_yawcontrol
[1839]	474	MODULE PROCEDURE wtm_yawcontrol
[2553]	475	END INTERFACE wtm_yawcontrol
[1864]	476
	477	INTERFACE wtm_rotate_rotor
	478	MODULE PROCEDURE wtm_rotate_rotor
	479	END INTERFACE wtm_rotate_rotor
	480
	481	INTERFACE wtm_speed_control
	482	MODULE PROCEDURE wtm_init_speed_control
	483	MODULE PROCEDURE wtm_speed_control
	484	END INTERFACE wtm_speed_control
[1819]	485
	486	INTERFACE wtm_tendencies
	487	MODULE PROCEDURE wtm_tendencies
	488	MODULE PROCEDURE wtm_tendencies_ij
	489	END INTERFACE wtm_tendencies
[1864]	490
	491
[1912]	492	PUBLIC wtm_check_parameters, wtm_forces, wtm_init, wtm_init_arrays, &
[2894]	493	wtm_parin, wtm_wrd_global, wtm_rrd_global, wtm_tendencies
[1819]	494
[2563]	495
[1819]	496	CONTAINS
	497
	498
	499	!------------------------------------------------------------------------------!
	500	! Description:
	501	! ------------
[1839]	502	!> Parin for &wind_turbine_par for wind turbine model
[1819]	503	!------------------------------------------------------------------------------!
[1839]	504	SUBROUTINE wtm_parin
[1819]	505
	506
	507	IMPLICIT NONE
[1912]	508
	509	INTEGER(iwp) :: ierrn !<
[1819]	510
[1839]	511	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	512
	513	NAMELIST /wind_turbine_par/ air_dens, dtow, gear_eff, gear_ratio, &
[1864]	514	gen_eff, inertia_gen, inertia_rot, max_miss, &
[1839]	515	max_torque_gen, max_trq_rate, min_miss, &
[1864]	516	min_reg15, min_reg2, nairfoils, nturbines, &
[1912]	517	omega_rot, phi_yaw, pitch_add, pitch_control,&
[1839]	518	rated_genspeed, rated_power, rcx, rcy, rcz, &
	519	rnac, rr, segment_length, segment_width, &
[1864]	520	slope2, speed_control, tilt, time_turbine_on,&
[2349]	521	turb_cd_nacelle, turb_cd_tower, pitch_rate, &
[2152]	522	yaw_control, yaw_speed, tl_cor
[2932]	523
	524	NAMELIST /wind_turbine_parameters/ &
	525	air_dens, dtow, gear_eff, gear_ratio, &
	526	gen_eff, inertia_gen, inertia_rot, max_miss, &
	527	max_torque_gen, max_trq_rate, min_miss, &
	528	min_reg15, min_reg2, nairfoils, nturbines, &
	529	omega_rot, phi_yaw, pitch_add, pitch_control,&
	530	rated_genspeed, rated_power, rcx, rcy, rcz, &
	531	rnac, rr, segment_length, segment_width, &
	532	slope2, speed_control, tilt, time_turbine_on,&
	533	turb_cd_nacelle, turb_cd_tower, pitch_rate, &
	534	yaw_control, yaw_speed, tl_cor
[1819]	535	!
[1839]	536	!-- Try to find wind turbine model package
	537	REWIND ( 11 )
	538	line = ' '
[2932]	539	DO WHILE ( INDEX( line, '&wind_turbine_parameters' ) == 0 )
[3246]	540	READ ( 11, '(A)', END=12 ) line
[1839]	541	ENDDO
	542	BACKSPACE ( 11 )
	543
	544	!
	545	!-- Read user-defined namelist
[3246]	546	READ ( 11, wind_turbine_parameters, ERR = 10 )
[2932]	547	!
	548	!-- Set flag that indicates that the wind turbine model is switched on
	549	wind_turbine = .TRUE.
	550
[3246]	551	GOTO 14
[2932]	552
[3246]	553	10 BACKSPACE( 11 )
	554	READ( 11 ,fmt='(A)') line
	555	CALL parin_fail_message ( 'wind_turbine_parameters', line )
	556
[2932]	557	!
	558	!-- Try to find wind turbine model package
[3246]	559	12 REWIND ( 11 )
[2932]	560	line = ' '
	561	DO WHILE ( INDEX( line, '&wind_turbine_par' ) == 0 )
[3246]	562	READ ( 11, '(A)', END=14 ) line
[2932]	563	ENDDO
	564	BACKSPACE ( 11 )
	565
	566	!
	567	!-- Read user-defined namelist
[3246]	568	READ ( 11, wind_turbine_par, ERR = 13, END = 14 )
[2932]	569
	570	message_string = 'namelist wind_tubrine_par is deprecated and will ' // &
[3046]	571	'be removed in near future. &Please use namelist ' // &
[2932]	572	'wind_turbine_parameters instead'
	573	CALL message( 'wtm_parin', 'PA0487', 0, 1, 0, 6, 0 )
	574
[1839]	575	!
	576	!-- Set flag that indicates that the wind turbine model is switched on
	577	wind_turbine = .TRUE.
	578
[3246]	579	GOTO 14
[2563]	580
[3246]	581	13 BACKSPACE( 11 )
	582	READ( 11 ,fmt='(A)') line
	583	CALL parin_fail_message ( 'wind_turbine_par', line )
[1839]	584
[3246]	585	14 CONTINUE ! TBD Change from continue, mit ierrn machen
	586
	587
[1839]	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).
[3174]	1015	IF ( ABS( dz_stretch_level_start(1) ) <= MAXVAL(rcz(1:nturbines)) + &
	1016	MAXVAL(rr(1:nturbines)) + &
	1017	eps_min) THEN
[3065]	1018	WRITE( message_string, * ) 'The lowest level where vertical ', &
	1019	'stretching is applied &have to be ', &
[3174]	1020	'greater than ',MAXVAL(rcz(1:nturbines)) +&
	1021	MAXVAL(rr(1:nturbines)) + eps_min
[3066]	1022	CALL message( 'wtm_init', 'PA0484', 1, 2, 0, 6, 0 )
[3065]	1023	ENDIF
	1024	!
[1819]	1025	!-- Square of eps_min:
	1026	eps_min2 = eps_min**2
	1027	!
	1028	!-- Parameters in the polynomial function:
[1864]	1029	pol_a = 1.0_wp / eps_min**4
	1030	pol_b = 2.0_wp / eps_min**2
[1819]	1031	!
[1839]	1032	!-- Normalization factor which is the inverse of the integral of the smearing
	1033	!-- function:
	1034	eps_factor = 105.0_wp / ( 32.0_wp * pi * eps_min**3 )
	1035
[1864]	1036	!-- Change tilt angle to rad:
	1037	tilt = tilt * pi / 180.0_wp
	1038
[1819]	1039	!
[1864]	1040	!-- Change yaw angle to rad:
[2563]	1041	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	1042	phi_yaw(:) = phi_yaw(:) * pi / 180.0_wp
	1043	ENDIF
[1819]	1044
[1864]	1045
[1819]	1046	DO inot = 1, nturbines
	1047	!
[1864]	1048	!-- Rotate the rotor coordinates in case yaw and tilt are defined
	1049	CALL wtm_rotate_rotor( inot )
[1819]	1050
	1051	!
	1052	!-- Determine the indices of the hub height
	1053	i_hub(inot) = INT( rcx(inot) / dx )
	1054	j_hub(inot) = INT( ( rcy(inot) + 0.5_wp * dy ) / dy )
[3065]	1055	k_hub(inot) = INT( ( rcz(inot) + 0.5_wp * dz(1) ) / dz(1) )
[1819]	1056
	1057	!
	1058	!-- Determining the area to which the smearing of the forces is applied.
[1839]	1059	!-- As smearing now is effectively applied only for distances smaller than
	1060	!-- eps_min, the smearing area can be further limited and regarded as a
	1061	!-- function of eps_min:
[1819]	1062	i_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dx )
	1063	j_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dy )
[3065]	1064	k_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dz(1) )
[1864]	1065
[1819]	1066	ENDDO
	1067
	1068	!
[2792]	1069	!-- Call the wtm_init_speed_control subroutine and calculate the local
	1070	!-- omega_rot for the respective processor.
	1071	IF ( speed_control) THEN
	1072
	1073	CALL wtm_speed_control
	1074
	1075	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
	1076
	1077	DO inot = 1, nturbines
	1078
	1079	IF ( nxl > i_hub(inot) ) THEN
	1080	torque_gen(inot) = 0.0_wp
	1081	omega_gen_f(inot) = 0.0_wp
	1082	omega_rot_l(inot) = 0.0_wp
	1083	ENDIF
	1084
	1085	IF ( nxr < i_hub(inot) ) THEN
	1086	torque_gen(inot) = 0.0_wp
	1087	omega_gen_f(inot) = 0.0_wp
	1088	omega_rot_l(inot) = 0.0_wp
	1089	ENDIF
	1090
	1091	IF ( nys > j_hub(inot) ) THEN
	1092	torque_gen(inot) = 0.0_wp
	1093	omega_gen_f(inot) = 0.0_wp
	1094	omega_rot_l(inot) = 0.0_wp
	1095	ENDIF
	1096
	1097	IF ( nyn < j_hub(inot) ) THEN
	1098	torque_gen(inot) = 0.0_wp
	1099	omega_gen_f(inot) = 0.0_wp
	1100	omega_rot_l(inot) = 0.0_wp
	1101	ENDIF
	1102
	1103	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) THEN
	1104	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) ) THEN
	1105
	1106	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
	1107
	1108	ENDIF
	1109	ENDIF
	1110
	1111	END DO
	1112
	1113	ENDIF
	1114
	1115	ENDIF
	1116
	1117	!
[1819]	1118	!------------------------------------------------------------------------------!
[1839]	1119	!-- Determine the area within each grid cell that overlaps with the area
	1120	!-- of the nacelle and the tower (needed for calculation of the forces)
[1819]	1121	!------------------------------------------------------------------------------!
	1122	!
	1123	!-- Note: so far this is only a 2D version, in that the mean flow is
	1124	!-- perpendicular to the rotor area.
	1125
	1126	!
	1127	!-- Allocation of the array containing information on the intersection points
	1128	!-- between rotor disk and the numerical grid:
	1129	upper_end = ( ny + 1 ) * 10000
	1130
	1131	ALLOCATE( circle_points(1:2,1:upper_end) )
[1839]	1132
	1133	circle_points(:,:) = 0.0_wp
[1819]	1134
[1839]	1135
	1136	DO inot = 1, nturbines ! loop over number of turbines
[1819]	1137	!
[1839]	1138	!-- Determine the grid index (u-grid) that corresponds to the location of
	1139	!-- the rotor center (reduces the amount of calculations in the case that
	1140	!-- the mean flow is perpendicular to the rotor area):
[1819]	1141	i = i_hub(inot)
	1142
	1143	!
[1839]	1144	!-- Determine the left and the right edge of the nacelle (corresponding
	1145	!-- grid point indices):
[1819]	1146	index_nacl(inot) = INT( ( rcy(inot) - rnac(inot) + 0.5_wp * dy ) / dy )
	1147	index_nacr(inot) = INT( ( rcy(inot) + rnac(inot) + 0.5_wp * dy ) / dy )
	1148	!
[1839]	1149	!-- Determine the bottom and the top edge of the nacelle (corresponding
	1150	!-- grid point indices).The grid point index has to be increased by 1, as
	1151	!-- the first level for the u-component (index 0) is situated below the
	1152	!-- surface. All points between z=0 and z=dz/s would already be contained
	1153	!-- in grid box 1.
[3065]	1154	index_nacb(inot) = INT( ( rcz(inot) - rnac(inot) ) / dz(1) ) + 1
	1155	index_nact(inot) = INT( ( rcz(inot) + rnac(inot) ) / dz(1) ) + 1
[1819]	1156
	1157	!
	1158	!-- Determine the indices of the grid boxes containing the left and
[1864]	1159	!-- the right boundaries of the tower:
[1819]	1160	tower_n = ( rcy(inot) + 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	1161	tower_s = ( rcy(inot) - 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	1162
	1163	!
	1164	!-- Determine the fraction of the grid box area overlapping with the tower
[1864]	1165	!-- area and multiply it with the drag of the tower:
[1839]	1166	IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1819]	1167
	1168	DO j = nys, nyn
	1169	!
[1839]	1170	!-- Loop from south to north boundary of tower
	1171	IF ( ( j >= tower_s ) .AND. ( j <= tower_n ) ) THEN
	1172
[1819]	1173	DO k = nzb, nzt
	1174
	1175	IF ( k == k_hub(inot) ) THEN
	1176	IF ( tower_n - tower_s >= 1 ) THEN
[1839]	1177	!
[1819]	1178	!-- leftmost and rightmost grid box:
	1179	IF ( j == tower_s ) THEN
[1912]	1180	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1181	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*& ! extension in z-direction
[1912]	1182	( ( tower_s + 1.0_wp + 0.5_wp ) * dy - &
	1183	( rcy(inot) - 0.5_wp * dtow(inot) ) ) * & ! extension in y-direction
	1184	turb_cd_tower(inot)
[1819]	1185	ELSEIF ( j == tower_n ) THEN
[1912]	1186	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1187	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*& ! extension in z-direction
[1912]	1188	( ( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	1189	( tower_n + 0.5_wp ) * dy ) * & ! extension in y-direction
	1190	turb_cd_tower(inot)
[1819]	1191	!
	1192	!-- grid boxes inbetween
[1912]	1193	!-- (where tow_cd_surf = grid box area):
[1819]	1194	ELSE
[1912]	1195	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1196	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*&
[1912]	1197	dy * turb_cd_tower(inot)
[1819]	1198	ENDIF
	1199	!
	1200	!-- tower lies completely within one grid box:
	1201	ELSE
[3065]	1202	tow_cd_surf(k,j,i) = ( rcz(inot) - ( k_hub(inot) * &
	1203	dz(1) - 0.5_wp * dz(1) ) ) * &
[1912]	1204	dtow(inot) * turb_cd_tower(inot)
[1819]	1205	ENDIF
[1839]	1206	!
	1207	!-- In case that k is smaller than k_hub the following actions
	1208	!-- are carried out:
[1819]	1209	ELSEIF ( k < k_hub(inot) ) THEN
	1210
[1839]	1211	IF ( ( tower_n - tower_s ) >= 1 ) THEN
	1212	!
[1819]	1213	!-- leftmost and rightmost grid box:
	1214	IF ( j == tower_s ) THEN
[3065]	1215	tow_cd_surf(k,j,i) = dz(1) * ( &
[1839]	1216	( tower_s + 1 + 0.5_wp ) * dy - &
	1217	( rcy(inot) - 0.5_wp * dtow(inot) ) &
[1912]	1218	) * turb_cd_tower(inot)
[1819]	1219	ELSEIF ( j == tower_n ) THEN
[3065]	1220	tow_cd_surf(k,j,i) = dz(1) * ( &
[1839]	1221	( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	1222	( tower_n + 0.5_wp ) * dy &
[1912]	1223	) * turb_cd_tower(inot)
[1839]	1224	!
	1225	!-- grid boxes inbetween
[1912]	1226	!-- (where tow_cd_surf = grid box area):
[1819]	1227	ELSE
[3065]	1228	tow_cd_surf(k,j,i) = dz(1) * dy * &
	1229	turb_cd_tower(inot)
[1819]	1230	ENDIF
[1839]	1231	!
[1819]	1232	!-- tower lies completely within one grid box:
	1233	ELSE
[3065]	1234	tow_cd_surf(k,j,i) = dz(1) * dtow(inot) * &
[1912]	1235	turb_cd_tower(inot)
[1839]	1236	ENDIF ! end if larger than grid box
	1237
	1238	ENDIF ! end if k == k_hub
	1239
	1240	ENDDO ! end loop over k
	1241
	1242	ENDIF ! end if inside north and south boundary of tower
	1243
	1244	ENDDO ! end loop over j
	1245
	1246	ENDIF ! end if hub inside domain + ghostpoints
[1819]	1247
[1839]	1248
[1912]	1249	CALL exchange_horiz( tow_cd_surf, nbgp )
[1819]	1250
[1839]	1251	!
[1864]	1252	!-- Calculation of the nacelle area
	1253	!-- CAUTION: Currently disabled due to segmentation faults on the FLOW HPC
	1254	!-- cluster (Oldenburg)
	1255	!!
	1256	!!-- Tabulate the points on the circle that are required in the following for
	1257	!!-- the calculation of the Riemann integral (node points; they are called
	1258	!!-- circle_points in the following):
	1259	!
	1260	! dy_int = dy / 10000.0_wp
	1261	!
	1262	! DO i_ip = 1, upper_end
	1263	! yvalue = dy_int * ( i_ip - 0.5_wp ) + 0.5_wp * dy !<--- segmentation fault
	1264	! sqrt_arg = rnac(inot)2 - ( yvalue - rcy(inot) )2 !<--- segmentation fault
	1265	! IF ( sqrt_arg >= 0.0_wp ) THEN
	1266	!!
	1267	!!-- bottom intersection point
	1268	! circle_points(1,i_ip) = rcz(inot) - SQRT( sqrt_arg )
	1269	!!
	1270	!!-- top intersection point
	1271	! circle_points(2,i_ip) = rcz(inot) + SQRT( sqrt_arg ) !<--- segmentation fault
	1272	! ELSE
	1273	! circle_points(:,i_ip) = -111111 !<--- segmentation fault
	1274	! ENDIF
	1275	! ENDDO
	1276	!
	1277	!
	1278	! DO j = nys, nyn
	1279	!!
	1280	!!-- In case that the grid box is located completely outside the nacelle
	1281	!!-- (y) it can automatically be stated that there is no overlap between
	1282	!!-- the grid box and the nacelle and consequently we can set
[1912]	1283	!!-- nac_cd_surf(:,j,i) = 0.0:
[1864]	1284	! IF ( ( j >= index_nacl(inot) ) .AND. ( j <= index_nacr(inot) ) ) THEN
	1285	! DO k = nzb+1, nzt
	1286	!!
	1287	!!-- In case that the grid box is located completely outside the
	1288	!!-- nacelle (z) it can automatically be stated that there is no
	1289	!!-- overlap between the grid box and the nacelle and consequently
[1912]	1290	!!-- we can set nac_cd_surf(k,j,i) = 0.0:
[1864]	1291	! IF ( ( k >= index_nacb(inot) ) .OR. &
	1292	! ( k <= index_nact(inot) ) ) THEN
	1293	!!
	1294	!!-- For all other cases Riemann integrals are calculated.
	1295	!!-- Here, the points on the circle that have been determined
	1296	!!-- above are used in order to calculate the overlap between the
	1297	!!-- gridbox and the nacelle area (area approached by 10000
	1298	!!-- rectangulars dz_int * dy_int):
	1299	! DO i_ipg = 1, 10000
	1300	! dz_int = dz
	1301	! i_ip = j * 10000 + i_ipg
	1302	!!
	1303	!!-- Determine the vertical extension dz_int of the circle
	1304	!!-- within the current grid box:
	1305	! IF ( ( circle_points(2,i_ip) < zw(k) ) .AND. & !<--- segmentation fault
	1306	! ( circle_points(2,i_ip) >= zw(k-1) ) ) THEN
	1307	! dz_int = dz_int - & !<--- segmentation fault
	1308	! ( zw(k) - circle_points(2,i_ip) )
	1309	! ENDIF
	1310	! IF ( ( circle_points(1,i_ip) <= zw(k) ) .AND. & !<--- segmentation fault
	1311	! ( circle_points(1,i_ip) > zw(k-1) ) ) THEN
	1312	! dz_int = dz_int - &
	1313	! ( circle_points(1,i_ip) - zw(k-1) )
	1314	! ENDIF
	1315	! IF ( zw(k-1) > circle_points(2,i_ip) ) THEN
	1316	! dz_int = 0.0_wp
	1317	! ENDIF
	1318	! IF ( zw(k) < circle_points(1,i_ip) ) THEN
	1319	! dz_int = 0.0_wp
	1320	! ENDIF
	1321	! IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1912]	1322	! nac_cd_surf(k,j,i) = nac_cd_surf(k,j,i) + & !<--- segmentation fault
	1323	! dy_int * dz_int * turb_cd_nacelle(inot)
[1864]	1324	! ENDIF
	1325	! ENDDO
	1326	! ENDIF
	1327	! ENDDO
	1328	! ENDIF
[1819]	1329	!
[1864]	1330	! ENDDO
[1819]	1331	!
[1912]	1332	! CALL exchange_horiz( nac_cd_surf, nbgp ) !<--- segmentation fault
[1819]	1333
[1864]	1334	ENDDO ! end of loop over turbines
[1819]	1335
[3065]	1336	tow_cd_surf = tow_cd_surf / ( dx * dy * dz(1) ) ! Normalize tower drag
	1337	nac_cd_surf = nac_cd_surf / ( dx * dy * dz(1) ) ! Normalize nacelle drag
[1819]	1338
[1912]	1339	CALL wtm_read_blade_tables
[1839]	1340
[1864]	1341	END SUBROUTINE wtm_init
	1342
	1343
[1819]	1344	!------------------------------------------------------------------------------!
[1864]	1345	! Description:
	1346	! ------------
	1347	!> Read in layout of the rotor blade , the lift and drag tables
	1348	!> and the distribution of lift and drag tables along the blade
[1819]	1349	!------------------------------------------------------------------------------!
[1912]	1350	!
	1351	SUBROUTINE wtm_read_blade_tables
[1819]	1352
[1839]	1353
[1864]	1354	IMPLICIT NONE
	1355
	1356	INTEGER(iwp) :: ii !< running index
	1357	INTEGER(iwp) :: jj !< running index
[1843]	1358
[1864]	1359	INTEGER(iwp) :: ierrn !<
	1360
	1361	CHARACTER(200) :: chmess !< Read in string
[1839]	1362
[1864]	1363	INTEGER(iwp) :: dlen !< no. rows of local table
	1364	INTEGER(iwp) :: dlenbl !< no. rows of cd, cl table
	1365	INTEGER(iwp) :: ialpha !< table position of current alpha value
	1366	INTEGER(iwp) :: iialpha !<
	1367	INTEGER(iwp) :: iir !<
	1368	INTEGER(iwp) :: radres !< radial resolution
	1369	INTEGER(iwp) :: t1 !< no. of airfoil
	1370	INTEGER(iwp) :: t2 !< no. of airfoil
	1371	INTEGER(iwp) :: trow !<
	1372	INTEGER(iwp) :: dlenbl_int !< no. rows of interpolated cd, cl tables
[1839]	1373
[1864]	1374	REAL(wp) :: alpha_attack_i !<
	1375	REAL(wp) :: weight_a !<
	1376	REAL(wp) :: weight_b !<
[1839]	1377
[1864]	1378	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint1 !<
	1379	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint2 !<
[1839]	1380
[1864]	1381	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel1 !<
	1382	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel2 !<
	1383	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel1 !<
	1384	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel2 !<
	1385	REAL(wp), DIMENSION(:), ALLOCATABLE :: read_cl_cd !< read in var array
[1839]	1386
[1864]	1387	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack_tab !<
	1388	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad1 !<
	1389	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad2 !<
	1390	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_table !<
	1391	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_table !<
[1839]	1392
[1864]	1393	ALLOCATE ( read_cl_cd(1:2*nairfoils+1) )
[1839]	1394
[1864]	1395	!
	1396	!-- Read in the distribution of lift and drag tables along the blade, the
	1397	!-- layout of the rotor blade and the lift and drag tables:
	1398
[2323]	1399	OPEN ( 90, FILE='WTM_DATA', STATUS='OLD', FORM='FORMATTED', IOSTAT=ierrn )
[1864]	1400
	1401	IF ( ierrn /= 0 ) THEN
	1402	message_string = 'file WTM_DATA does not exist'
[2322]	1403	CALL message( 'wtm_init', 'PA0464', 1, 2, 0, 6, 0 )
[1864]	1404	ENDIF
	1405	!
	1406	!-- Read distribution table:
	1407
	1408	dlen = 0
	1409
[2323]	1410	READ ( 90, '(3/)' )
[1864]	1411
	1412	rloop3: DO
[2323]	1413	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1414	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop3
	1415	dlen = dlen + 1
	1416	ENDDO rloop3
	1417
	1418	ALLOCATE( trad1(1:dlen), trad2(1:dlen), ttoint1(1:dlen), ttoint2(1:dlen))
	1419
	1420	DO jj = 1,dlen+1
[2323]	1421	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1422	ENDDO
	1423
	1424	DO jj = 1,dlen
[2323]	1425	READ ( 90, * ) trad1(jj), trad2(jj), ttoint1(jj), ttoint2(jj)
[1864]	1426	ENDDO
	1427
	1428	!
	1429	!-- Read layout table:
	1430
[1839]	1431	dlen = 0
[1864]	1432
[2323]	1433	READ ( 90, '(3/)')
[1864]	1434
[1843]	1435	rloop1: DO
[2323]	1436	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1437	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop1
	1438	dlen = dlen + 1
[1843]	1439	ENDDO rloop1
[1864]	1440
[1839]	1441	ALLOCATE( lrd(1:dlen), ard(1:dlen), crd(1:dlen) )
[1864]	1442	DO jj = 1, dlen+1
[2323]	1443	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1444	ENDDO
	1445	DO jj = 1, dlen
[2323]	1446	READ ( 90, * ) lrd(jj), ard(jj), crd(jj)
[1839]	1447	ENDDO
[1819]	1448
[1864]	1449	!
	1450	!-- Read tables (turb_cl(alpha),turb_cd(alpha) for the different profiles:
[1819]	1451
[1864]	1452	dlen = 0
	1453
[2323]	1454	READ ( 90, '(3/)' )
[1864]	1455
[1843]	1456	rloop2: DO
[2323]	1457	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1458	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop2
	1459	dlen = dlen + 1
	1460	ENDDO rloop2
	1461
[1912]	1462	ALLOCATE( alpha_attack_tab(1:dlen), turb_cl_table(1:dlen,1:nairfoils), &
[1864]	1463	turb_cd_table(1:dlen,1:nairfoils) )
	1464
	1465	DO jj = 1,dlen+1
[2323]	1466	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1467	ENDDO
	1468
[1839]	1469	DO jj = 1,dlen
[2323]	1470	READ ( 90, * ) read_cl_cd
[1864]	1471	alpha_attack_tab(jj) = read_cl_cd(1)
	1472	DO ii= 1, nairfoils
	1473	turb_cl_table(jj,ii) = read_cl_cd(ii*2)
	1474	turb_cd_table(jj,ii) = read_cl_cd(ii*2+1)
[1819]	1475	ENDDO
[1864]	1476
[1839]	1477	ENDDO
[1864]	1478
	1479	dlenbl = dlen
	1480
[2323]	1481	CLOSE ( 90 )
[1819]	1482
[1864]	1483	!
[2836]	1484	!-- For each possible radial position (resolution: 0.1 m --> 631 values if rr(1)=63m)
	1485	!-- and each possible angle of attack (resolution: 0.1 degrees --> 3601 values!)
[1864]	1486	!-- determine the lift and drag coefficient by interpolating between the
	1487	!-- tabulated values of each table (interpolate to current angle of attack)
	1488	!-- and between the tables (interpolate to current radial position):
[1839]	1489
[2836]	1490	ALLOCATE( turb_cl_sel1(1:dlenbl) )
	1491	ALLOCATE( turb_cl_sel2(1:dlenbl) )
	1492	ALLOCATE( turb_cd_sel1(1:dlenbl) )
	1493	ALLOCATE( turb_cd_sel2(1:dlenbl) )
[1819]	1494
[1864]	1495	radres = INT( rr(1) * 10.0_wp ) + 1_iwp
	1496	dlenbl_int = INT( 360.0_wp / accu_cl_cd_tab ) + 1_iwp
[1839]	1497
[2836]	1498	ALLOCATE( turb_cl_tab(1:dlenbl_int,1:radres) )
	1499	ALLOCATE( turb_cd_tab(1:dlenbl_int,1:radres) )
[1864]	1500
[2836]	1501	DO iir = 1, radres ! loop over radius
[1864]	1502
[2836]	1503	cur_r = ( iir - 1_iwp ) * 0.1_wp
	1504	!
	1505	!-- Find position in table 1
	1506	lct = MINLOC( ABS( trad1 - cur_r ) )
	1507	! lct(1) = lct(1)
[1864]	1508
[2836]	1509	IF ( ( trad1(lct(1)) - cur_r ) .GT. 0.0 ) THEN
	1510	lct(1) = lct(1) - 1
	1511	ENDIF
[1864]	1512
[2836]	1513	trow = lct(1)
	1514	!
	1515	!-- Calculate weights for radius interpolation
	1516	weight_a = ( trad2(trow) - cur_r ) / ( trad2(trow) - trad1(trow) )
	1517	weight_b = ( cur_r - trad1(trow) ) / ( trad2(trow) - trad1(trow) )
	1518	t1 = ttoint1(trow)
	1519	t2 = ttoint2(trow)
[1864]	1520
[2836]	1521	IF ( t1 .EQ. t2 ) THEN ! if both are the same, the weights are NaN
	1522	weight_a = 0.5_wp ! then do interpolate in between same twice
	1523	weight_b = 0.5_wp ! using 0.5 as weight
	1524	ENDIF
	1525
	1526	IF ( t1 == 0 .AND. t2 == 0 ) THEN
	1527	turb_cd_sel1 = 0.0_wp
	1528	turb_cd_sel2 = 0.0_wp
	1529	turb_cl_sel1 = 0.0_wp
	1530	turb_cl_sel2 = 0.0_wp
	1531
	1532	turb_cd_tab(1,iir) = 0.0_wp ! For -180Â° (iialpha=1) the values
	1533	turb_cl_tab(1,iir) = 0.0_wp ! for each radius has to be set
	1534	! explicitly
	1535	ELSE
	1536	turb_cd_sel1 = turb_cd_table(:,t1)
	1537	turb_cd_sel2 = turb_cd_table(:,t2)
	1538	turb_cl_sel1 = turb_cl_table(:,t1)
	1539	turb_cl_sel2 = turb_cl_table(:,t2)
	1540	!
	1541	!-- For -180Â° (iialpha=1) the values for each radius has to be set
	1542	!-- explicitly
	1543	turb_cd_tab(1,iir) = ( weight_a * turb_cd_table(1,t1) + weight_b &
	1544	* turb_cd_table(1,t2) )
	1545	turb_cl_tab(1,iir) = ( weight_a * turb_cl_table(1,t1) + weight_b &
	1546	* turb_cl_table(1,t2) )
	1547	ENDIF
	1548
	1549	DO iialpha = 2, dlenbl_int ! loop over angles
	1550
[1864]	1551	alpha_attack_i = -180.0_wp + REAL( iialpha-1 ) * accu_cl_cd_tab
	1552	ialpha = 1
[2836]	1553
[2152]	1554	DO WHILE ( ( alpha_attack_i > alpha_attack_tab(ialpha) ) .AND. (ialpha <= dlen ) )
[1864]	1555	ialpha = ialpha + 1
	1556	ENDDO
[1819]	1557
[1864]	1558	!
[1912]	1559	!-- Interpolation of lift and drag coefficiencts on fine grid of radius
	1560	!-- segments and angles of attack
[3182]	1561
[1912]	1562	turb_cl_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1563	alpha_attack_i ) / &
[1864]	1564	( alpha_attack_tab(ialpha) - &
	1565	alpha_attack_tab(ialpha-1) ) * &
	1566	( weight_a * turb_cl_sel1(ialpha-1) + &
	1567	weight_b * turb_cl_sel2(ialpha-1) ) +&
	1568	( alpha_attack_i - &
	1569	alpha_attack_tab(ialpha-1) ) / &
	1570	( alpha_attack_tab(ialpha) - &
	1571	alpha_attack_tab(ialpha-1) ) * &
	1572	( weight_a * turb_cl_sel1(ialpha) + &
	1573	weight_b * turb_cl_sel2(ialpha) )
[1912]	1574	turb_cd_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1575	alpha_attack_i ) / &
[1864]	1576	( alpha_attack_tab(ialpha) - &
	1577	alpha_attack_tab(ialpha-1) ) * &
	1578	( weight_a * turb_cd_sel1(ialpha-1) + &
	1579	weight_b * turb_cd_sel2(ialpha-1) ) +&
	1580	( alpha_attack_i - &
	1581	alpha_attack_tab(ialpha-1) ) / &
	1582	( alpha_attack_tab(ialpha) - &
	1583	alpha_attack_tab(ialpha-1) ) * &
	1584	( weight_a * turb_cd_sel1(ialpha) + &
	1585	weight_b * turb_cd_sel2(ialpha) )
[2836]	1586
[1912]	1587	ENDDO ! end loop over angles of attack
[2836]	1588
	1589	ENDDO ! end loop over radius
[1819]	1590
[2836]	1591
[1912]	1592	END SUBROUTINE wtm_read_blade_tables
[1819]	1593
	1594
[1864]	1595	!------------------------------------------------------------------------------!
	1596	! Description:
	1597	! ------------
	1598	!> The projection matrix for the coordinate system of therotor disc in respect
	1599	!> to the yaw and tilt angle of the rotor is calculated
	1600	!------------------------------------------------------------------------------!
	1601	SUBROUTINE wtm_rotate_rotor( inot )
[1819]	1602
[1864]	1603
	1604	IMPLICIT NONE
	1605
	1606	INTEGER(iwp) :: inot
	1607	!
	1608	!-- Calculation of the rotation matrix for the application of the tilt to
	1609	!-- the rotors
	1610	rot_eigen_rad(1) = SIN( phi_yaw(inot) ) ! x-component of the radial eigenvector
	1611	rot_eigen_rad(2) = COS( phi_yaw(inot) ) ! y-component of the radial eigenvector
	1612	rot_eigen_rad(3) = 0.0_wp ! z-component of the radial eigenvector
	1613
	1614	rot_eigen_azi(1) = 0.0_wp ! x-component of the azimuth eigenvector
	1615	rot_eigen_azi(2) = 0.0_wp ! y-component of the azimuth eigenvector
	1616	rot_eigen_azi(3) = 1.0_wp ! z-component of the azimuth eigenvector
	1617
	1618	rot_eigen_nor(1) = COS( phi_yaw(inot) ) ! x-component of the normal eigenvector
	1619	rot_eigen_nor(2) = -SIN( phi_yaw(inot) ) ! y-component of the normal eigenvector
	1620	rot_eigen_nor(3) = 0.0_wp ! z-component of the normal eigenvector
[1839]	1621
[1864]	1622	!
	1623	!-- Calculation of the coordinate transformation matrix to apply a tilt to
	1624	!-- the rotor. If tilt = 0, rot_coord_trans is a unit matrix.
[1819]	1625
[1912]	1626	rot_coord_trans(inot,1,1) = rot_eigen_rad(1)*2 &
[1864]	1627	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1628	rot_coord_trans(inot,1,2) = rot_eigen_rad(1) * rot_eigen_rad(2) * &
	1629	( 1.0_wp - COS( tilt ) ) - &
[1864]	1630	rot_eigen_rad(3) * SIN( tilt )
[1912]	1631	rot_coord_trans(inot,1,3) = rot_eigen_rad(1) * rot_eigen_rad(3) * &
	1632	( 1.0_wp - COS( tilt ) ) + &
[1864]	1633	rot_eigen_rad(2) * SIN( tilt )
[1912]	1634	rot_coord_trans(inot,2,1) = rot_eigen_rad(2) * rot_eigen_rad(1) * &
	1635	( 1.0_wp - COS( tilt ) ) + &
[1864]	1636	rot_eigen_rad(3) * SIN( tilt )
[1912]	1637	rot_coord_trans(inot,2,2) = rot_eigen_rad(2)*2 &
[1864]	1638	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1639	rot_coord_trans(inot,2,3) = rot_eigen_rad(2) * rot_eigen_rad(3) * &
	1640	( 1.0_wp - COS( tilt ) ) - &
[1864]	1641	rot_eigen_rad(1) * SIN( tilt )
[1912]	1642	rot_coord_trans(inot,3,1) = rot_eigen_rad(3) * rot_eigen_rad(1) * &
	1643	( 1.0_wp - COS( tilt ) ) - &
[1864]	1644	rot_eigen_rad(2) * SIN( tilt )
[1912]	1645	rot_coord_trans(inot,3,2) = rot_eigen_rad(3) * rot_eigen_rad(2) * &
	1646	( 1.0_wp - COS( tilt ) ) + &
[1864]	1647	rot_eigen_rad(1) * SIN( tilt )
[1912]	1648	rot_coord_trans(inot,3,3) = rot_eigen_rad(3)*2 &
[1864]	1649	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1839]	1650
[1864]	1651	!
	1652	!-- Vectors for the Transformation of forces from the rotor's spheric
	1653	!-- coordinate system to the cartesian coordinate system
	1654	rotx(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_nor )
	1655	roty(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_rad )
	1656	rotz(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_azi )
	1657
	1658	END SUBROUTINE wtm_rotate_rotor
[1839]	1659
	1660
[1819]	1661	!------------------------------------------------------------------------------!
	1662	! Description:
	1663	! ------------
[1839]	1664	!> Calculation of the forces generated by the wind turbine
[1819]	1665	!------------------------------------------------------------------------------!
	1666	SUBROUTINE wtm_forces
	1667
[1864]	1668
[1819]	1669	IMPLICIT NONE
	1670
[2669]	1671	CHARACTER (LEN=4) :: turbine_id
[1819]	1672
[1839]	1673	INTEGER(iwp) :: i, j, k !< loop indices
	1674	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	1675	INTEGER(iwp) :: iialpha, iir !<
[3241]	1676	INTEGER(iwp) :: rseg !<
	1677	INTEGER(iwp) :: ring !<
[1839]	1678	INTEGER(iwp) :: ii, jj, kk !<
[1912]	1679
[2232]	1680	REAL(wp) :: flag !< flag to mask topography grid points
[1839]	1681	REAL(wp) :: sin_rot, cos_rot !<
	1682	REAL(wp) :: sin_yaw, cos_yaw !<
[1912]	1683
	1684	REAL(wp) :: aa, bb, cc, dd !< interpolation distances
	1685	REAL(wp) :: gg !< interpolation volume var
	1686
	1687	REAL(wp) :: dist_u_3d, dist_v_3d, dist_w_3d !< smearing distances
	1688
	1689
[1839]	1690	!
[1819]	1691	! Variables for pitch control
[3241]	1692	LOGICAL :: pitch_sw = .FALSE.
[1839]	1693
[3241]	1694	INTEGER(iwp), DIMENSION(1) :: lct = 0
	1695	REAL(wp), DIMENSION(1) :: rad_d = 0.0_wp
[2152]	1696
	1697	REAL(wp) :: tl_factor !< factor for tip loss correction
[1819]	1698
	1699
[1864]	1700	CALL cpu_log( log_point_s(61), 'wtm_forces', 'start' )
[1819]	1701
	1702
	1703	IF ( simulated_time >= time_turbine_on ) THEN
	1704
[1864]	1705	!
[1819]	1706	!-- Set forces to zero for each new time step:
	1707	thrust(:,:,:) = 0.0_wp
	1708	torque_y(:,:,:) = 0.0_wp
	1709	torque_z(:,:,:) = 0.0_wp
	1710	torque_total(:) = 0.0_wp
[1912]	1711	rot_tend_x(:,:,:) = 0.0_wp
	1712	rot_tend_y(:,:,:) = 0.0_wp
	1713	rot_tend_z(:,:,:) = 0.0_wp
	1714	thrust_rotor(:) = 0.0_wp
[1819]	1715	!
	1716	!-- Loop over number of turbines:
	1717	DO inot = 1, nturbines
	1718
	1719	cos_yaw = COS(phi_yaw(inot))
	1720	sin_yaw = SIN(phi_yaw(inot))
	1721	!
[1839]	1722	!-- Loop over rings of each turbine:
[1819]	1723	DO ring = 1, nrings(inot)
	1724
	1725	thrust_seg(:) = 0.0_wp
	1726	torque_seg_y(:) = 0.0_wp
	1727	torque_seg_z(:) = 0.0_wp
	1728	!
	1729	!-- Determine distance between each ring (center) and the hub:
	1730	cur_r = (ring - 0.5_wp) * delta_r(inot)
	1731
	1732	!
[1839]	1733	!-- Loop over segments of each ring of each turbine:
[1819]	1734	DO rseg = 1, nsegs(ring,inot)
	1735	!
[1864]	1736	!-- !-----------------------------------------------------------!
	1737	!-- !-- Determine coordinates of the ring segments --!
	1738	!-- !-----------------------------------------------------------!
[1819]	1739	!
[1864]	1740	!-- Determine angle of ring segment towards zero degree angle of
	1741	!-- rotor system (at zero degree rotor direction vectors aligned
	1742	!-- with y-axis):
[1819]	1743	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1744	cos_rot = COS( phi_rotor )
	1745	sin_rot = SIN( phi_rotor )
	1746
[1864]	1747	!-- Now the direction vectors can be determined with respect to
	1748	!-- the yaw and tilt angle:
[1819]	1749	re(1) = cos_rot * sin_yaw
[1839]	1750	re(2) = cos_rot * cos_yaw
[1819]	1751	re(3) = sin_rot
	1752
	1753	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1754	!
	1755	!-- Coordinates of the single segments (center points):
	1756	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	1757	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	1758	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	1759
[1864]	1760	!-- !-----------------------------------------------------------!
	1761	!-- !-- Interpolation of the velocity components from the --!
	1762	!-- !-- cartesian grid point to the coordinates of each ring --!
	1763	!-- !-- segment (follows a method used in the particle model) --!
	1764	!-- !-----------------------------------------------------------!
[1819]	1765
	1766	u_int(inot,ring,rseg) = 0.0_wp
	1767	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1768
	1769	v_int(inot,ring,rseg) = 0.0_wp
	1770	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1771
	1772	w_int(inot,ring,rseg) = 0.0_wp
	1773	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1774
	1775	!
	1776	!-- Interpolation of the u-component:
	1777
	1778	ii = rbx(ring,rseg) * ddx
	1779	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[3065]	1780	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	1781	!
[1864]	1782	!-- Interpolate only if all required information is available on
	1783	!-- the current PE:
[1839]	1784	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1785	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1786
[1839]	1787	aa = ( ( ii + 1 ) * dx - rbx(ring,rseg) ) * &
	1788	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1789	bb = ( rbx(ring,rseg) - ii * dx ) * &
	1790	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1791	cc = ( ( ii+1 ) * dx - rbx(ring,rseg) ) * &
	1792	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1793	dd = ( rbx(ring,rseg) - ii * dx ) * &
	1794	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1795	gg = dx * dy
	1796
[1864]	1797	u_int_l = ( aa * u(kk,jj,ii) + &
	1798	bb * u(kk,jj,ii+1) + &
	1799	cc * u(kk,jj+1,ii) + &
	1800	dd * u(kk,jj+1,ii+1) &
[1819]	1801	) / gg
	1802
[1864]	1803	u_int_u = ( aa * u(kk+1,jj,ii) + &
	1804	bb * u(kk+1,jj,ii+1) + &
	1805	cc * u(kk+1,jj+1,ii) + &
	1806	dd * u(kk+1,jj+1,ii+1) &
[1819]	1807	) / gg
	1808
[1864]	1809	u_int_1_l(inot,ring,rseg) = u_int_l + &
[3065]	1810	( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
[1819]	1811	( u_int_u - u_int_l )
	1812
	1813	ELSE
	1814	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1815	ENDIF
	1816	ELSE
	1817	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1818	ENDIF
	1819
	1820
	1821	!
	1822	!-- Interpolation of the v-component:
	1823	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
[1839]	1824	jj = rby(ring,rseg) * ddy
[3065]	1825	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	1826	!
[1864]	1827	!-- Interpolate only if all required information is available on
	1828	!-- the current PE:
[1839]	1829	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1830	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1831
[1839]	1832	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1833	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1834	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1835	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1836	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1837	( rby(ring,rseg) - jj * dy )
	1838	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1839	( rby(ring,rseg) - jj * dy )
[1819]	1840	gg = dx * dy
	1841
[1864]	1842	v_int_l = ( aa * v(kk,jj,ii) + &
	1843	bb * v(kk,jj,ii+1) + &
	1844	cc * v(kk,jj+1,ii) + &
	1845	dd * v(kk,jj+1,ii+1) &
[1819]	1846	) / gg
	1847
[1864]	1848	v_int_u = ( aa * v(kk+1,jj,ii) + &
	1849	bb * v(kk+1,jj,ii+1) + &
	1850	cc * v(kk+1,jj+1,ii) + &
	1851	dd * v(kk+1,jj+1,ii+1) &
[1819]	1852	) / gg
	1853
[1864]	1854	v_int_1_l(inot,ring,rseg) = v_int_l + &
[3065]	1855	( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
[1819]	1856	( v_int_u - v_int_l )
	1857
	1858	ELSE
	1859	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1860	ENDIF
	1861	ELSE
	1862	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1863	ENDIF
	1864
	1865
	1866	!
	1867	!-- Interpolation of the w-component:
	1868	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
	1869	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[3065]	1870	kk = rbz(ring,rseg) / dz(1)
[1819]	1871	!
[1864]	1872	!-- Interpolate only if all required information is available on
	1873	!-- the current PE:
[1839]	1874	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1875	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1876
[1839]	1877	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1878	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1879	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1880	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1881	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1882	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1883	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1884	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1885	gg = dx * dy
	1886
[1864]	1887	w_int_l = ( aa * w(kk,jj,ii) + &
	1888	bb * w(kk,jj,ii+1) + &
	1889	cc * w(kk,jj+1,ii) + &
	1890	dd * w(kk,jj+1,ii+1) &
[1819]	1891	) / gg
	1892
[1864]	1893	w_int_u = ( aa * w(kk+1,jj,ii) + &
	1894	bb * w(kk+1,jj,ii+1) + &
	1895	cc * w(kk+1,jj+1,ii) + &
	1896	dd * w(kk+1,jj+1,ii+1) &
[1819]	1897	) / gg
	1898
[1864]	1899	w_int_1_l(inot,ring,rseg) = w_int_l + &
[3065]	1900	( rbz(ring,rseg) - zw(kk) ) / dz(1) * &
[1819]	1901	( w_int_u - w_int_l )
	1902	ELSE
	1903	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1904	ENDIF
	1905	ELSE
	1906	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1907	ENDIF
	1908
	1909	ENDDO
	1910	ENDDO
	1911
	1912	ENDDO
	1913
	1914	!
	1915	!-- Exchange between PEs (information required on each PE):
	1916	#if defined( __parallel )
[1839]	1917	CALL MPI_ALLREDUCE( u_int_1_l, u_int, nturbines * MAXVAL(nrings) * &
	1918	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1919	CALL MPI_ALLREDUCE( v_int_1_l, v_int, nturbines * MAXVAL(nrings) * &
	1920	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1921	CALL MPI_ALLREDUCE( w_int_1_l, w_int, nturbines * MAXVAL(nrings) * &
	1922	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
[1819]	1923	#else
	1924	u_int = u_int_1_l
	1925	v_int = v_int_1_l
	1926	w_int = w_int_1_l
	1927	#endif
	1928
	1929
	1930	!
	1931	!-- Loop over number of turbines:
[1912]	1932
[1819]	1933	DO inot = 1, nturbines
[1912]	1934	pit_loop: DO
[1819]	1935
[1912]	1936	IF ( pitch_sw ) THEN
[1839]	1937	torque_total(inot) = 0.0_wp
[1912]	1938	thrust_rotor(inot) = 0.0_wp
	1939	pitch_add(inot) = pitch_add(inot) + 0.25_wp
	1940	! IF ( myid == 0 ) PRINT*, 'Pitch', inot, pitch_add(inot)
	1941	ELSE
	1942	cos_yaw = COS(phi_yaw(inot))
	1943	sin_yaw = SIN(phi_yaw(inot))
	1944	IF ( pitch_control ) THEN
	1945	pitch_add(inot) = MAX(pitch_add_old(inot) - pitch_rate * &
	1946	dt_3d , 0.0_wp )
	1947	ENDIF
[1819]	1948	ENDIF
	1949
[1839]	1950	!
	1951	!-- Loop over rings of each turbine:
[1819]	1952	DO ring = 1, nrings(inot)
	1953	!
	1954	!-- Determine distance between each ring (center) and the hub:
	1955	cur_r = (ring - 0.5_wp) * delta_r(inot)
[1839]	1956	!
	1957	!-- Loop over segments of each ring of each turbine:
[1819]	1958	DO rseg = 1, nsegs(ring,inot)
	1959	!
[1839]	1960	!-- Determine angle of ring segment towards zero degree angle of
	1961	!-- rotor system (at zero degree rotor direction vectors aligned
	1962	!-- with y-axis):
[1819]	1963	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1964	cos_rot = COS(phi_rotor)
	1965	sin_rot = SIN(phi_rotor)
	1966	!
[1839]	1967	!-- Now the direction vectors can be determined with respect to
	1968	!-- the yaw and tilt angle:
[1819]	1969	re(1) = cos_rot * sin_yaw
	1970	re(2) = cos_rot * cos_yaw
	1971	re(3) = sin_rot
	1972
[1864]	1973	! The current unit vector in azimuthal direction:
[1819]	1974	rea(1) = - sin_rot * sin_yaw
	1975	rea(2) = - sin_rot * cos_yaw
	1976	rea(3) = cos_rot
	1977
	1978	!
[1864]	1979	!-- To respect the yawing angle for the calculations of
	1980	!-- velocities and forces the unit vectors perpendicular to the
	1981	!-- rotor area in direction of the positive yaw angle are defined:
[1819]	1982	ren(1) = cos_yaw
	1983	ren(2) = - sin_yaw
	1984	ren(3) = 0.0_wp
	1985	!
	1986	!-- Multiplication with the coordinate transformation matrix
[1864]	1987	!-- gives the final unit vector with consideration of the rotor
	1988	!-- tilt:
[1819]	1989	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1990	rota = MATMUL( rot_coord_trans(inot,:,:), rea )
	1991	rotn = MATMUL( rot_coord_trans(inot,:,:), ren )
	1992	!
	1993	!-- Coordinates of the single segments (center points):
	1994	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	1995
	1996	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	1997
	1998	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	1999
	2000	!
[1864]	2001	!-- !-----------------------------------------------------------!
	2002	!-- !-- Calculation of various angles and relative velocities --!
	2003	!-- !-----------------------------------------------------------!
[1819]	2004	!
[1864]	2005	!-- In the following the 3D-velocity field is projected its
[2553]	2006	!-- components perpendicular and parallel to the rotor area
[1819]	2007	!-- The calculation of forces will be done in the rotor-
	2008	!-- coordinates y' and z.
	2009	!-- The yaw angle will be reintroduced when the force is applied
	2010	!-- on the hydrodynamic equations
[1864]	2011	!
	2012	!-- Projection of the xy-velocities relative to the rotor area
	2013	!
[1819]	2014	!-- Velocity perpendicular to the rotor area:
[1864]	2015	u_rot = u_int(inot,ring,rseg)*rotn(1) + &
	2016	v_int(inot,ring,rseg)*rotn(2) + &
[1819]	2017	w_int(inot,ring,rseg)*rotn(3)
	2018	!
[1864]	2019	!-- Projection of the 3D-velocity vector in the azimuthal
	2020	!-- direction:
	2021	vtheta(rseg) = rota(1) * u_int(inot,ring,rseg) + &
	2022	rota(2) * v_int(inot,ring,rseg) + &
[1819]	2023	rota(3) * w_int(inot,ring,rseg)
	2024	!
[1864]	2025	!-- Determination of the angle phi_rel between the rotor plane
	2026	!-- and the direction of the flow relative to the rotor:
[1819]	2027
[1864]	2028	phi_rel(rseg) = ATAN( u_rot / &
	2029	( omega_rot(inot) * cur_r - &
[1819]	2030	vtheta(rseg) ) )
	2031
	2032	!
[1864]	2033	!-- Interpolation of the local pitch angle from tabulated values
	2034	!-- to the current radial position:
[1819]	2035
	2036	lct=minloc(ABS(cur_r-lrd))
	2037	rad_d=cur_r-lrd(lct)
	2038
	2039	IF (cur_r == 0.0_wp) THEN
	2040	alpha_attack(rseg) = 0.0_wp
	2041	ELSE IF (cur_r >= lrd(size(ard))) THEN
[1864]	2042	alpha_attack(rseg) = ( ard(size(ard)) + &
	2043	ard(size(ard)-1) ) / 2.0_wp
[1819]	2044	ELSE
[1864]	2045	alpha_attack(rseg) = ( ard(lct(1)) * &
	2046	( ( lrd(lct(1)+1) - cur_r ) / &
	2047	( lrd(lct(1)+1) - lrd(lct(1)) ) &
	2048	) ) + ( ard(lct(1)+1) * &
	2049	( ( cur_r - lrd(lct(1)) ) / &
	2050	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2051	ENDIF
	2052
	2053	!
[1864]	2054	!-- In Fortran radian instead of degree is used as unit for all
	2055	!-- angles. Therefore, a transformation from angles given in
	2056	!-- degree to angles given in radian is necessary here:
	2057	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2058	( (2.0_wp*pi) / 360.0_wp )
	2059	!
[1864]	2060	!-- Substraction of the local pitch angle to obtain the local
	2061	!-- angle of attack:
[1819]	2062	alpha_attack(rseg) = phi_rel(rseg) - alpha_attack(rseg)
	2063	!
[1864]	2064	!-- Preliminary transformation back from angles given in radian
	2065	!-- to angles given in degree:
	2066	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2067	( 360.0_wp / (2.0_wp*pi) )
	2068	!
[1864]	2069	!-- Correct with collective pitch angle:
[3139]	2070	alpha_attack(rseg) = alpha_attack(rseg) - pitch_add(inot)
[1819]	2071
	2072	!
[1864]	2073	!-- Determination of the magnitude of the flow velocity relative
	2074	!-- to the rotor:
[1912]	2075	vrel(rseg) = SQRT( u_rot**2 + &
	2076	( omega_rot(inot) * cur_r - &
[1819]	2077	vtheta(rseg) )**2 )
	2078
	2079	!
[1864]	2080	!-- !-----------------------------------------------------------!
	2081	!-- !-- Interpolation of chord as well as lift and drag --!
	2082	!-- !-- coefficients from tabulated values --!
	2083	!-- !-----------------------------------------------------------!
[1819]	2084
	2085	!
[1864]	2086	!-- Interpolation of the chord_length from tabulated values to
	2087	!-- the current radial position:
[1819]	2088
	2089	IF (cur_r == 0.0_wp) THEN
	2090	chord(rseg) = 0.0_wp
	2091	ELSE IF (cur_r >= lrd(size(crd))) THEN
[1864]	2092	chord(rseg) = (crd(size(crd)) + ard(size(crd)-1)) / 2.0_wp
[1819]	2093	ELSE
[1864]	2094	chord(rseg) = ( crd(lct(1)) * &
	2095	( ( lrd(lct(1)+1) - cur_r ) / &
	2096	( lrd(lct(1)+1) - lrd(lct(1)) ) ) ) + &
	2097	( crd(lct(1)+1) * &
	2098	( ( cur_r-lrd(lct(1)) ) / &
	2099	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2100	ENDIF
	2101
	2102	!
	2103	!-- Determine index of current angle of attack, needed for
[1864]	2104	!-- finding the appropriate interpolated values of the lift and
[2836]	2105	!-- drag coefficients (-180.0 degrees = 1, +180.0 degrees = 3601,
	2106	!-- so one index every 0.1 degrees):
[1864]	2107	iialpha = CEILING( ( alpha_attack(rseg) + 180.0_wp ) &
[2836]	2108	* ( 1.0_wp / accu_cl_cd_tab ) ) + 1.0_wp
[1819]	2109	!
	2110	!-- Determine index of current radial position, needed for
[1864]	2111	!-- finding the appropriate interpolated values of the lift and
	2112	!-- drag coefficients (one index every 0.1 m):
[1819]	2113	iir = CEILING( cur_r * 10.0_wp )
	2114	!
[1864]	2115	!-- Read in interpolated values of the lift and drag coefficients
	2116	!-- for the current radial position and angle of attack:
[1839]	2117	turb_cl(rseg) = turb_cl_tab(iialpha,iir)
	2118	turb_cd(rseg) = turb_cd_tab(iialpha,iir)
[1819]	2119
	2120	!
[1864]	2121	!-- Final transformation back from angles given in degree to
	2122	!-- angles given in radian:
	2123	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2124	( (2.0_wp*pi) / 360.0_wp )
	2125
[2152]	2126	IF ( tl_cor ) THEN
	2127
	2128	!-- Tip loss correction following Schito
	2129	!-- Schito applies the tip loss correction only to the lift force
	2130	!-- Therefore, the tip loss correction is only applied to the lift
	2131	!-- coefficient and not to the drag coefficient in our case
	2132	!--
	2133	tl_factor = ( 2.0 / pi ) * &
	2134	ACOS( EXP( -1.0 * ( 3.0 * ( rr(inot) - cur_r ) / &
	2135	( 2.0 * cur_r * abs( sin( phi_rel(rseg) ) ) ) ) ) )
	2136
	2137	turb_cl(rseg) = tl_factor * turb_cl(rseg)
	2138
[2894]	2139	ENDIF
[1819]	2140	!
	2141	!-- !-----------------------------------------------------!
	2142	!-- !-- Calculation of the forces --!
	2143	!-- !-----------------------------------------------------!
	2144
	2145	!
[1864]	2146	!-- Calculate the pre_factor for the thrust and torque forces:
[1819]	2147
	2148	pre_factor = 0.5_wp * (vrel(rseg)*2) 3.0_wp * &
	2149	chord(rseg) * delta_r(inot) / nsegs(ring,inot)
	2150
	2151	!
[1864]	2152	!-- Calculate the thrust force (x-component of the total force)
	2153	!-- for each ring segment:
	2154	thrust_seg(rseg) = pre_factor * &
	2155	( turb_cl(rseg) * COS(phi_rel(rseg)) + &
	2156	turb_cd(rseg) * SIN(phi_rel(rseg)) )
[1819]	2157
	2158	!
[1864]	2159	!-- Determination of the second of the additional forces acting
	2160	!-- on the flow in the azimuthal direction: force vector as basis
	2161	!-- for torque (torque itself would be the vector product of the
	2162	!-- radius vector and the force vector):
	2163	torque_seg = pre_factor * &
	2164	( turb_cl(rseg) * SIN(phi_rel(rseg)) - &
[1839]	2165	turb_cd(rseg) * COS(phi_rel(rseg)) )
[1819]	2166	!
	2167	!-- Decomposition of the force vector into two parts:
[1864]	2168	!-- One acting along the y-direction and one acting along the
	2169	!-- z-direction of the rotor coordinate system:
[1819]	2170
	2171	torque_seg_y(rseg) = -torque_seg * sin_rot
	2172	torque_seg_z(rseg) = torque_seg * cos_rot
	2173
[1912]	2174	!
	2175	!-- Add the segment thrust to the thrust of the whole rotor
	2176	thrust_rotor(inot) = thrust_rotor(inot) + &
	2177	thrust_seg(rseg)
	2178
	2179
[1819]	2180	torque_total(inot) = torque_total(inot) + (torque_seg * cur_r)
	2181
[1864]	2182	ENDDO !-- end of loop over ring segments
[1819]	2183
	2184	!
[1864]	2185	!-- Restore the forces into arrays containing all the segments of
	2186	!-- each ring:
[1819]	2187	thrust_ring(ring,:) = thrust_seg(:)
	2188	torque_ring_y(ring,:) = torque_seg_y(:)
	2189	torque_ring_z(ring,:) = torque_seg_z(:)
	2190
	2191
[1864]	2192	ENDDO !-- end of loop over rings
[1819]	2193
	2194
[1864]	2195	CALL cpu_log( log_point_s(62), 'wtm_controller', 'start' )
[1819]	2196
[1912]	2197
	2198	IF ( speed_control ) THEN
	2199	!
	2200	!-- Calculation of the current generator speed for rotor speed control
	2201
	2202	!
	2203	!-- The acceleration of the rotor speed is calculated from
	2204	!-- the force balance of the accelerating torque
	2205	!-- and the torque of the rotating rotor and generator
	2206	om_rate = ( torque_total(inot) * air_dens * gear_eff - &
	2207	gear_ratio * torque_gen_old(inot) ) / &
	2208	( inertia_rot + &
	2209	gear_ratio * gear_ratio * inertia_gen ) * dt_3d
[1819]	2210
[1912]	2211	!
	2212	!-- The generator speed is given by the product of gear gear_ratio
	2213	!-- and rotor speed
	2214	omega_gen(inot) = gear_ratio * ( omega_rot(inot) + om_rate )
	2215
	2216	ENDIF
	2217
[1864]	2218	IF ( pitch_control ) THEN
[1819]	2219
[1912]	2220	!
	2221	!-- If the current generator speed is above rated, the pitch is not
	2222	!-- saturated and the change from the last time step is within the
	2223	!-- maximum pitch rate, then the pitch loop is repeated with a pitch
	2224	!-- gain
	2225	IF ( ( omega_gen(inot) > rated_genspeed ) .AND. &
	2226	( pitch_add(inot) < 25.0_wp ) .AND. &
	2227	( pitch_add(inot) < pitch_add_old(inot) + &
	2228	pitch_rate * dt_3d ) ) THEN
[1864]	2229	pitch_sw = .TRUE.
[1912]	2230	!
	2231	!-- Go back to beginning of pit_loop
	2232	CYCLE pit_loop
[1819]	2233	ENDIF
[1912]	2234
	2235	!
	2236	!-- The current pitch is saved for the next time step
	2237	pitch_add_old(inot) = pitch_add(inot)
[1864]	2238	pitch_sw = .FALSE.
[1819]	2239	ENDIF
[1912]	2240	EXIT pit_loop
	2241	ENDDO pit_loop ! Recursive pitch control loop
[1819]	2242
[1864]	2243
[1819]	2244	!
[1864]	2245	!-- Call the rotor speed controller
	2246
[1819]	2247	IF ( speed_control ) THEN
	2248	!
[1864]	2249	!-- Find processor at i_hub, j_hub
[1912]	2250	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2251	THEN
	2252	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2253	THEN
[1864]	2254	CALL wtm_speed_control( inot )
	2255	ENDIF
[1912]	2256	ENDIF
[1864]	2257
[1819]	2258	ENDIF
	2259
	2260
[1864]	2261	CALL cpu_log( log_point_s(62), 'wtm_controller', 'stop' )
[1819]	2262
[1864]	2263	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'start' )
[1819]	2264
	2265
[1864]	2266	!-- !-----------------------------------------------------------------!
	2267	!-- !-- Regularization kernel --!
	2268	!-- !-- Smearing of the forces and interpolation to cartesian grid --!
	2269	!-- !-----------------------------------------------------------------!
[1819]	2270	!
[1864]	2271	!-- The aerodynamic blade forces need to be distributed smoothly on
	2272	!-- several mesh points in order to avoid singular behaviour
[1819]	2273	!
	2274	!-- Summation over sum of weighted forces. The weighting factor
[1864]	2275	!-- (calculated in user_init) includes information on the distance
	2276	!-- between the center of the grid cell and the rotor segment under
	2277	!-- consideration
[1819]	2278	!
[1864]	2279	!-- To save computing time, apply smearing only for the relevant part
	2280	!-- of the model domain:
[1819]	2281	!
	2282	!--
	2283	!-- Calculation of the boundaries:
[1864]	2284	i_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,1) ) + &
	2285	eps_min ) / dx )
	2286	j_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,2) ) + &
	2287	eps_min ) / dy )
[1819]	2288
[1864]	2289	DO i = MAX( nxl, i_hub(inot) - i_smear(inot) ), &
[1819]	2290	MIN( nxr, i_hub(inot) + i_smear(inot) )
[1864]	2291	DO j = MAX( nys, j_hub(inot) - j_smear(inot) ), &
[1819]	2292	MIN( nyn, j_hub(inot) + j_smear(inot) )
[2232]	2293	! DO k = MAX( nzb_u_inner(j,i)+1, k_hub(inot) - k_smear(inot) ), &
	2294	! k_hub(inot) + k_smear(inot)
	2295	DO k = nzb+1, k_hub(inot) + k_smear(inot)
[1819]	2296	DO ring = 1, nrings(inot)
	2297	DO rseg = 1, nsegs(ring,inot)
	2298	!
[2232]	2299	!-- Predetermine flag to mask topography
	2300	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 1 ) )
	2301
	2302	!
[1819]	2303	!-- Determine the square of the distance between the
	2304	!-- current grid point and each rotor area segment:
[1864]	2305	dist_u_3d = ( i * dx - rbx(ring,rseg) )**2 + &
	2306	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
[3065]	2307	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1864]	2308	dist_v_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2309	( j * dy - rby(ring,rseg) )**2 + &
[3065]	2310	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1864]	2311	dist_w_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2312	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
[3065]	2313	( k * dz(1) - rbz(ring,rseg) )**2
[1819]	2314
	2315	!
	2316	!-- 3D-smearing of the forces with a polynomial function
	2317	!-- (much faster than the old Gaussian function), using
	2318	!-- some parameters that have been calculated in user_init.
	2319	!-- The function is only similar to Gaussian function for
	2320	!-- squared distances <= eps_min2:
	2321	IF ( dist_u_3d <= eps_min2 ) THEN
[2232]	2322	thrust(k,j,i) = thrust(k,j,i) + &
	2323	thrust_ring(ring,rseg) * &
	2324	( ( pol_a * dist_u_3d - pol_b ) * &
	2325	dist_u_3d + 1.0_wp ) * eps_factor *&
	2326	flag
[1819]	2327	ENDIF
	2328	IF ( dist_v_3d <= eps_min2 ) THEN
[2232]	2329	torque_y(k,j,i) = torque_y(k,j,i) + &
	2330	torque_ring_y(ring,rseg) * &
	2331	( ( pol_a * dist_v_3d - pol_b ) * &
	2332	dist_v_3d + 1.0_wp ) * eps_factor * &
	2333	flag
[1819]	2334	ENDIF
	2335	IF ( dist_w_3d <= eps_min2 ) THEN
[2232]	2336	torque_z(k,j,i) = torque_z(k,j,i) + &
	2337	torque_ring_z(ring,rseg) * &
	2338	( ( pol_a * dist_w_3d - pol_b ) * &
	2339	dist_w_3d + 1.0_wp ) * eps_factor * &
	2340	flag
[1819]	2341	ENDIF
	2342
	2343	ENDDO ! End of loop over rseg
	2344	ENDDO ! End of loop over ring
	2345
	2346	!
	2347	!-- Rotation of force components:
[2232]	2348	rot_tend_x(k,j,i) = rot_tend_x(k,j,i) + ( &
[1864]	2349	thrust(k,j,i)*rotx(inot,1) + &
	2350	torque_y(k,j,i)*roty(inot,1) + &
[2232]	2351	torque_z(k,j,i)*rotz(inot,1) &
	2352	) * flag
[1819]	2353
[2232]	2354	rot_tend_y(k,j,i) = rot_tend_y(k,j,i) + ( &
[1864]	2355	thrust(k,j,i)*rotx(inot,2) + &
	2356	torque_y(k,j,i)*roty(inot,2) + &
[2232]	2357	torque_z(k,j,i)*rotz(inot,2) &
	2358	) * flag
[1819]	2359
[2232]	2360	rot_tend_z(k,j,i) = rot_tend_z(k,j,i) + ( &
[1864]	2361	thrust(k,j,i)*rotx(inot,3) + &
	2362	torque_y(k,j,i)*roty(inot,3) + &
[2232]	2363	torque_z(k,j,i)*rotz(inot,3) &
	2364	) * flag
[1819]	2365
	2366	ENDDO ! End of loop over k
	2367	ENDDO ! End of loop over j
	2368	ENDDO ! End of loop over i
	2369
[1864]	2370	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'stop' )
[1819]	2371
[1912]	2372	ENDDO !-- end of loop over turbines
[1819]	2373
	2374
	2375	IF ( yaw_control ) THEN
	2376	!
	2377	!-- Allocate arrays for yaw control at first call
	2378	!-- Can't be allocated before dt_3d is set
	2379	IF ( start_up ) THEN
[1864]	2380	WDLON = NINT( 30.0_wp / dt_3d ) ! 30s running mean array
[1819]	2381	ALLOCATE( wd30(1:nturbines,1:WDLON) )
[1912]	2382	wd30 = 999.0_wp ! Set to dummy value
[1819]	2383	ALLOCATE( wd30_l(1:WDLON) )
	2384
[1864]	2385	WDSHO = NINT( 2.0_wp / dt_3d ) ! 2s running mean array
[1819]	2386	ALLOCATE( wd2(1:nturbines,1:WDSHO) )
[1912]	2387	wd2 = 999.0_wp ! Set to dummy value
[1819]	2388	ALLOCATE( wd2_l(1:WDSHO) )
	2389	start_up = .FALSE.
	2390	ENDIF
	2391
	2392	!
	2393	!-- Calculate the inflow wind speed
	2394	!--
	2395	!-- Loop over number of turbines:
	2396	DO inot = 1, nturbines
	2397	!
	2398	!-- Find processor at i_hub, j_hub
[1912]	2399	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2400	THEN
	2401	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2402	THEN
[1864]	2403
[1819]	2404	u_inflow_l(inot) = u(k_hub(inot),j_hub(inot),i_hub(inot))
[1864]	2405
[1912]	2406	wdir_l(inot) = -1.0_wp * ATAN2( &
	2407	0.5_wp * ( v(k_hub(inot),j_hub(inot),i_hub(inot)+1) + &
	2408	v(k_hub(inot),j_hub(inot),i_hub(inot)) ) , &
	2409	0.5_wp * ( u(k_hub(inot),j_hub(inot)+1,i_hub(inot)) + &
	2410	u(k_hub(inot),j_hub(inot),i_hub(inot)) ) )
[1864]	2411
	2412	CALL wtm_yawcontrol( inot )
	2413
[1819]	2414	phi_yaw_l(inot) = phi_yaw(inot)
[2015]	2415
[1819]	2416	ENDIF
	2417	ENDIF
	2418
[1864]	2419	ENDDO !-- end of loop over turbines
	2420
	2421	!
[1929]	2422	!-- Transfer of information to the other cpus
	2423	#if defined( __parallel )
[1864]	2424	CALL MPI_ALLREDUCE( u_inflow_l, u_inflow, nturbines, MPI_REAL, &
	2425	MPI_SUM, comm2d, ierr )
	2426	CALL MPI_ALLREDUCE( wdir_l, wdir, nturbines, MPI_REAL, MPI_SUM, &
	2427	comm2d, ierr )
	2428	CALL MPI_ALLREDUCE( phi_yaw_l, phi_yaw, nturbines, MPI_REAL, &
	2429	MPI_SUM, comm2d, ierr )
[1929]	2430	#else
	2431	u_inflow = u_inflow_l
	2432	wdir = wdir_l
	2433	phi_yaw = phi_yaw_l
[2015]	2434
	2435
[1929]	2436	#endif
[1819]	2437	DO inot = 1, nturbines
[1864]	2438	!
	2439	!-- Update rotor orientation
	2440	CALL wtm_rotate_rotor( inot )
[1819]	2441
	2442	ENDDO ! End of loop over turbines
	2443
[2894]	2444	ENDIF ! end of yaw control
[1864]	2445
	2446	IF ( speed_control ) THEN
	2447	!
	2448	!-- Transfer of information to the other cpus
[1912]	2449	! CALL MPI_ALLREDUCE( omega_gen, omega_gen_old, nturbines, &
	2450	! MPI_REAL,MPI_SUM, comm2d, ierr )
[1929]	2451	#if defined( __parallel )
[1864]	2452	CALL MPI_ALLREDUCE( torque_gen, torque_gen_old, nturbines, &
	2453	MPI_REAL, MPI_SUM, comm2d, ierr )
	2454	CALL MPI_ALLREDUCE( omega_rot_l, omega_rot, nturbines, &
	2455	MPI_REAL, MPI_SUM, comm2d, ierr )
[1912]	2456	CALL MPI_ALLREDUCE( omega_gen_f, omega_gen_f_old, nturbines, &
	2457	MPI_REAL, MPI_SUM, comm2d, ierr )
[1929]	2458	#else
	2459	torque_gen_old = torque_gen
	2460	omega_rot = omega_rot_l
	2461	omega_gen_f_old = omega_gen_f
	2462	#endif
[1864]	2463
	2464	ENDIF
[1819]	2465
	2466	DO inot = 1, nturbines
	2467
	2468	IF ( myid == 0 ) THEN
	2469	IF ( openfile_turb_mod(400+inot)%opened ) THEN
	2470	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2471	omega_gen(inot), torque_gen_old(inot), &
[1864]	2472	torque_total(inot), pitch_add(inot), &
[1912]	2473	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2474	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2475	thrust_rotor(inot), &
[1864]	2476	wdir(inot)*180.0_wp/pi, &
	2477	(phi_yaw(inot))*180.0_wp/pi
[1912]	2478
[1819]	2479	ELSE
	2480
[2669]	2481	WRITE ( turbine_id,'(A2,I2.2)') '_T', inot
	2482	OPEN ( 400+inot, FILE=( 'WTM_OUTPUT_DATA' // &
	2483	TRIM( coupling_char ) // &
	2484	turbine_id ), FORM='FORMATTED' )
[1819]	2485	WRITE ( 400+inot, 105 ) inot
	2486	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2487	omega_gen(inot), torque_gen_old(inot), &
[1864]	2488	torque_total(inot), pitch_add(inot), &
[1912]	2489	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2490	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2491	thrust_rotor(inot), &
[1864]	2492	wdir(inot)*180.0_wp/pi, &
	2493	(phi_yaw(inot))*180.0_wp/pi
[1819]	2494	ENDIF
	2495	ENDIF
	2496
[1912]	2497	!-- Set open flag
[1819]	2498	openfile_turb_mod(400+inot)%opened = .TRUE.
[1864]	2499	ENDDO !-- end of loop over turbines
[1819]	2500
	2501	ENDIF
	2502
[1864]	2503	CALL cpu_log( log_point_s(61), 'wtm_forces', 'stop' )
[1819]	2504
[1912]	2505	!
	2506	!-- Formats
[1819]	2507	105 FORMAT ('Turbine control data for turbine ',I2,1X,':'/ &
	2508	&'----------------------------------------'/ &
	2509	&' Time RSpeed GSpeed ', &
[1912]	2510	'GenTorque AeroTorque Pitch Power(Gen) Power(Rot) ', &
	2511	'RotThrust WDirection YawOrient')
[1819]	2512
[1864]	2513	106 FORMAT (F9.3,2X,F7.3,2X,F7.2,2X,F9.1,3X,F9.1,1X,F6.2,2X,F10.1,2X, &
	2514	F10.1,1X,F9.1,2X,F7.2,1X,F7.2)
[1819]	2515
	2516
	2517	END SUBROUTINE wtm_forces
	2518
	2519
[1839]	2520	!------------------------------------------------------------------------------!
	2521	! Description:
	2522	! ------------
	2523	!> Yaw controller for the wind turbine model
	2524	!------------------------------------------------------------------------------!
	2525	SUBROUTINE wtm_yawcontrol( inot )
	2526
[1819]	2527	USE kinds
[1839]	2528
	2529	IMPLICIT NONE
[1819]	2530
	2531	INTEGER(iwp) :: inot
	2532	INTEGER(iwp) :: i_wd_30
	2533	REAL(wp) :: missal
	2534
	2535	i_wd_30 = 0_iwp
	2536
	2537	!
[1864]	2538	!-- The yaw controller computes a 30s running mean of the wind direction.
	2539	!-- If the difference between turbine alignment and wind direction exceeds
	2540	!-- 5Â°, the turbine is yawed. The mechanism stops as soon as the 2s-running
	2541	!-- mean of the missalignment is smaller than 0.5Â°.
	2542	!-- Attention: If the timestep during the simulation changes significantly
	2543	!-- the lengths of the running means change and it does not correspond to
	2544	!-- 30s/2s anymore.
	2545	!-- ! Needs to be modified for these situations !
	2546	!-- For wind from the east, the averaging of the wind direction could cause
	2547	!-- problems and the yaw controller is probably flawed. -> Routine for
	2548	!-- averaging needs to be improved!
	2549	!
	2550	!-- Check if turbine is not yawing
[1819]	2551	IF ( .NOT. doyaw(inot) ) THEN
[1843]	2552	!
[1864]	2553	!-- Write current wind direction into array
[1843]	2554	wd30_l = wd30(inot,:)
	2555	wd30_l = CSHIFT( wd30_l, SHIFT=-1 )
[1819]	2556	wd30_l(1) = wdir(inot)
[1843]	2557	!
[1864]	2558	!-- Check if array is full ( no more dummies )
[1819]	2559	IF ( .NOT. ANY( wd30_l == 999.) ) THEN
	2560
	2561	missal = SUM( wd30_l ) / SIZE( wd30_l ) - phi_yaw(inot)
	2562	!
[1864]	2563	!-- Check if turbine is missaligned by more than max_miss
[1843]	2564	IF ( ABS( missal ) > max_miss ) THEN
	2565	!
[1864]	2566	!-- Check in which direction to yaw
[1843]	2567	yawdir(inot) = SIGN( 1.0_wp, missal )
[1819]	2568	!
[1864]	2569	!-- Start yawing of turbine
[1843]	2570	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2571	doyaw(inot) = .TRUE.
[1864]	2572	wd30_l = 999. ! fill with dummies again
[1819]	2573	ENDIF
	2574	ENDIF
	2575
	2576	wd30(inot,:) = wd30_l
	2577
	2578	!
[1864]	2579	!-- If turbine is already yawing:
	2580	!-- Initialize 2 s running mean and yaw until the missalignment is smaller
	2581	!-- than min_miss
[1819]	2582
	2583	ELSE
	2584	!
	2585	!-- Initialize 2 s running mean
	2586	wd2_l = wd2(inot,:)
[1864]	2587	wd2_l = CSHIFT( wd2_l, SHIFT = -1 )
[1819]	2588	wd2_l(1) = wdir(inot)
[1843]	2589	!
[1864]	2590	!-- Check if array is full ( no more dummies )
	2591	IF ( .NOT. ANY( wd2_l == 999.0_wp ) ) THEN
	2592	!
	2593	!-- Calculate missalignment of turbine
[1819]	2594	missal = SUM( wd2_l - phi_yaw(inot) ) / SIZE( wd2_l )
[1864]	2595	!
	2596	!-- Check if missalignment is still larger than 0.5 degree and if the
	2597	!-- yaw direction is still right
	2598	IF ( ( ABS( missal ) > min_miss ) .AND. &
	2599	( yawdir(inot) == SIGN( 1.0_wp, missal ) ) ) THEN
	2600	!
	2601	!-- Continue yawing
	2602	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2603	ELSE
[1864]	2604	!
	2605	!-- Stop yawing
[1819]	2606	doyaw(inot) = .FALSE.
[1864]	2607	wd2_l = 999.0_wp ! fill with dummies again
[1819]	2608	ENDIF
	2609	ELSE
[1864]	2610	!
	2611	!-- Continue yawing
[1843]	2612	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2613	ENDIF
	2614
	2615	wd2(inot,:) = wd2_l
	2616
	2617	ENDIF
	2618
[1839]	2619	END SUBROUTINE wtm_yawcontrol
[1819]	2620
[1864]	2621
[1819]	2622	!------------------------------------------------------------------------------!
	2623	! Description:
	2624	! ------------
[1864]	2625	!> Initialization of the speed control
	2626	!------------------------------------------------------------------------------!
	2627	SUBROUTINE wtm_init_speed_control
	2628
	2629
	2630	IMPLICIT NONE
	2631
	2632	!
	2633	!-- If speed control is set, remaining variables and control_parameters for
	2634	!-- the control algorithm are calculated
	2635	!
	2636	!-- Calculate slope constant for region 15
	2637	slope15 = ( slope2 * min_reg2 * min_reg2 ) / ( min_reg2 - min_reg15 )
	2638	!
	2639	!-- Calculate upper limit of slipage region
	2640	vs_sysp = rated_genspeed / 1.1_wp
	2641	!
	2642	!-- Calculate slope of slipage region
	2643	slope25 = ( rated_power / rated_genspeed ) / &
	2644	( rated_genspeed - vs_sysp )
	2645	!
	2646	!-- Calculate lower limit of slipage region
	2647	min_reg25 = ( slope25 - SQRT( slope25 * ( slope25 - 4.0_wp * &
	2648	slope2 * vs_sysp ) ) ) / &
[2410]	2649	( 2.0_wp * slope2 )
[1864]	2650	!
	2651	!-- Frequency for the simple low pass filter
	2652	Fcorner = 0.25_wp
	2653	!
	2654	!-- At the first timestep the torque is set to its maximum to prevent
	2655	!-- an overspeeding of the rotor
[2563]	2656	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	2657	torque_gen_old(:) = max_torque_gen
	2658	ENDIF
[1864]	2659
	2660	END SUBROUTINE wtm_init_speed_control
	2661
	2662
	2663	!------------------------------------------------------------------------------!
	2664	! Description:
	2665	! ------------
	2666	!> Simple controller for the regulation of the rotor speed
	2667	!------------------------------------------------------------------------------!
	2668	SUBROUTINE wtm_speed_control( inot )
	2669
	2670
	2671	IMPLICIT NONE
	2672
[1912]	2673	INTEGER(iwp) :: inot
	2674
	2675
[1864]	2676
	2677	!
	2678	!-- The controller is based on the fortran script from Jonkman
	2679	!-- et al. 2009 "Definition of a 5 MW Reference Wind Turbine for
	2680	!-- offshore system developement"
	2681
	2682	!
	2683	!-- The generator speed is filtered by a low pass filter
	2684	!-- for the control of the generator torque
	2685	lp_coeff = EXP( -2.0_wp * 3.14_wp * dt_3d * Fcorner )
[1912]	2686	omega_gen_f(inot) = ( 1.0_wp - lp_coeff ) * omega_gen(inot) + lp_coeff *&
[1864]	2687	omega_gen_f_old(inot)
	2688
	2689	IF ( omega_gen_f(inot) <= min_reg15 ) THEN
	2690	!
	2691	!-- Region 1: Generator torque is set to zero to accelerate the rotor:
	2692	torque_gen(inot) = 0
	2693
	2694	ELSEIF ( omega_gen_f(inot) <= min_reg2 ) THEN
	2695	!
	2696	!-- Region 1.5: Generator torque is increasing linearly with rotor speed:
	2697	torque_gen(inot) = slope15 * ( omega_gen_f(inot) - min_reg15 )
	2698
	2699	ELSEIF ( omega_gen_f(inot) <= min_reg25 ) THEN
	2700	!
	2701	!-- Region 2: Generator torque is increased by the square of the generator
	2702	!-- speed to keep the TSR optimal:
	2703	torque_gen(inot) = slope2 * omega_gen_f(inot) * omega_gen_f(inot)
	2704
	2705	ELSEIF ( omega_gen_f(inot) < rated_genspeed ) THEN
	2706	!
	2707	!-- Region 2.5: Slipage region between 2 and 3:
	2708	torque_gen(inot) = slope25 * ( omega_gen_f(inot) - vs_sysp )
	2709
	2710	ELSE
	2711	!
	2712	!-- Region 3: Generator torque is antiproportional to the rotor speed to
	2713	!-- keep the power constant:
	2714	torque_gen(inot) = rated_power / omega_gen_f(inot)
	2715
	2716	ENDIF
	2717	!
	2718	!-- Calculate torque rate and confine with a max
	2719	trq_rate = ( torque_gen(inot) - torque_gen_old(inot) ) / dt_3d
	2720	trq_rate = MIN( MAX( trq_rate, -1.0_wp * max_trq_rate ), max_trq_rate )
	2721	!
	2722	!-- Calculate new gen torque and confine with max torque
	2723	torque_gen(inot) = torque_gen_old(inot) + trq_rate * dt_3d
	2724	torque_gen(inot) = MIN( torque_gen(inot), max_torque_gen )
	2725	!
	2726	!-- Overwrite values for next timestep
[1912]	2727	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
[1864]	2728
	2729
	2730	END SUBROUTINE wtm_speed_control
	2731
	2732
	2733	!------------------------------------------------------------------------------!
	2734	! Description:
	2735	! ------------
[1839]	2736	!> Application of the additional forces generated by the wind turbine on the
	2737	!> flow components (tendency terms)
	2738	!> Call for all grid points
[1819]	2739	!------------------------------------------------------------------------------!
	2740	SUBROUTINE wtm_tendencies( component )
	2741
[1839]	2742
[1819]	2743	IMPLICIT NONE
	2744
[1839]	2745	INTEGER(iwp) :: component !< prognostic variable (u,v,w)
	2746	INTEGER(iwp) :: i !< running index
	2747	INTEGER(iwp) :: j !< running index
	2748	INTEGER(iwp) :: k !< running index
[1819]	2749
	2750
	2751	SELECT CASE ( component )
	2752
	2753	CASE ( 1 )
	2754	!
	2755	!-- Apply the x-component of the force to the u-component of the flow:
[1864]	2756	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2757	DO i = nxlg, nxrg
	2758	DO j = nysg, nyng
[2553]	2759	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	2760	!
[1864]	2761	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2762	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[2553]	2763	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2764	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2765	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2553]	2766
[2232]	2767	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	2768	- tend_nac_x - tend_tow_x ) &
	2769	* MERGE( 1.0_wp, 0.0_wp, &
	2770	BTEST( wall_flags_0(k,j,i), 1 ) )
[1819]	2771	ENDDO
	2772	ENDDO
	2773	ENDDO
	2774	ENDIF
	2775
	2776	CASE ( 2 )
	2777	!
	2778	!-- Apply the y-component of the force to the v-component of the flow:
[1864]	2779	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2780	DO i = nxlg, nxrg
	2781	DO j = nysg, nyng
[2553]	2782	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	2783	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2784	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2785	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2786	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	2787	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	2788	- tend_nac_y - tend_tow_y ) &
	2789	* MERGE( 1.0_wp, 0.0_wp, &
	2790	BTEST( wall_flags_0(k,j,i), 2 ) )
[1819]	2791	ENDDO
	2792	ENDDO
	2793	ENDDO
	2794	ENDIF
	2795
	2796	CASE ( 3 )
	2797	!
	2798	!-- Apply the z-component of the force to the w-component of the flow:
[1864]	2799	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2800	DO i = nxlg, nxrg
	2801	DO j = nysg, nyng
[2553]	2802	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	2803	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	2804	* MERGE( 1.0_wp, 0.0_wp, &
	2805	BTEST( wall_flags_0(k,j,i), 3 ) )
[1819]	2806	ENDDO
	2807	ENDDO
	2808	ENDDO
	2809	ENDIF
	2810
	2811
	2812	CASE DEFAULT
	2813
	2814	WRITE( message_string, * ) 'unknown prognostic variable: ', component
	2815	CALL message( 'wtm_tendencies', 'PA04??', 1, 2, 0, 6, 0 )
	2816
	2817	END SELECT
	2818
	2819
	2820	END SUBROUTINE wtm_tendencies
	2821
	2822
	2823	!------------------------------------------------------------------------------!
	2824	! Description:
	2825	! ------------
[1839]	2826	!> Application of the additional forces generated by the wind turbine on the
	2827	!> flow components (tendency terms)
	2828	!> Call for grid point i,j
[1819]	2829	!------------------------------------------------------------------------------!
	2830	SUBROUTINE wtm_tendencies_ij( i, j, component )
	2831
	2832
	2833	IMPLICIT NONE
	2834
[1839]	2835	INTEGER(iwp) :: component !< prognostic variable (u,v,w)
	2836	INTEGER(iwp) :: i !< running index
	2837	INTEGER(iwp) :: j !< running index
	2838	INTEGER(iwp) :: k !< running index
[1819]	2839
	2840	SELECT CASE ( component )
	2841
	2842	CASE ( 1 )
	2843	!
	2844	!-- Apply the x-component of the force to the u-component of the flow:
[1839]	2845	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2846	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	2847	!
[1839]	2848	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2849	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2850	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2851	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2852	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2232]	2853	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	2854	- tend_nac_x - tend_tow_x ) &
	2855	* MERGE( 1.0_wp, 0.0_wp, &
[2553]	2856	BTEST( wall_flags_0(k,j,i), 1 ) )
[1819]	2857	ENDDO
	2858	ENDIF
	2859
	2860	CASE ( 2 )
	2861	!
	2862	!-- Apply the y-component of the force to the v-component of the flow:
[1839]	2863	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2864	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	2865	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2866	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2867	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2868	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	2869	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	2870	- tend_nac_y - tend_tow_y ) &
	2871	* MERGE( 1.0_wp, 0.0_wp, &
	2872	BTEST( wall_flags_0(k,j,i), 2 ) )
[2553]	2873	ENDDO
[1819]	2874	ENDIF
	2875
	2876	CASE ( 3 )
	2877	!
	2878	!-- Apply the z-component of the force to the w-component of the flow:
[1839]	2879	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2880	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	2881	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	2882	* MERGE( 1.0_wp, 0.0_wp, &
	2883	BTEST( wall_flags_0(k,j,i), 3 ) )
[1819]	2884	ENDDO
	2885	ENDIF
	2886
	2887
	2888	CASE DEFAULT
	2889
	2890	WRITE( message_string, * ) 'unknown prognostic variable: ', component
	2891	CALL message( 'wtm_tendencies', 'PA04??', 1, 2, 0, 6, 0 )
	2892
	2893	END SELECT
	2894
	2895
	2896	END SUBROUTINE wtm_tendencies_ij
	2897
	2898	END MODULE wind_turbine_model_mod

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