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source: palm/trunk/SOURCE/wind_turbine_model_mod.f90 @ 3607

Last change on this file since 3607 was 3593, checked in by kanani, 6 years ago
Bugfix for missing array allocation (biometeorology_mod), remove degree symbol (biometeorology_mod, indoor_model_mod, multi_agent_system_mod, surface_mod, wind_turbine_model_mod)
Property svn:keywords set to `Id`
File size: 120.4 KB

Rev	Line
[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 3593 2018-12-03 13:51:13Z suehring $
[3593]	28	! Replace degree symbol by 'degrees'
	29	!
	30	! 3274 2018-09-24 15:42:55Z knoop
[3274]	31	! Modularization of all bulk cloud physics code components
	32	!
	33	! 3248 2018-09-14 09:42:06Z sward
[3248]	34	! Minor formating changes
	35	!
	36	! 3246 2018-09-13 15:14:50Z sward
[3246]	37	! Added error handling for input namelist via parin_fail_message
	38	!
	39	! 3241 2018-09-12 15:02:00Z raasch
[3241]	40	! unused variables removed
	41	!
	42	! 3182 2018-07-27 13:36:03Z suehring
[3174]	43	! Check for vertical stretching has been revised.
	44	!
	45	! 3139 2018-07-17 11:30:10Z Giersch
[3139]	46	! Bugfix in calculation of alpha_attack
	47	!
	48	! 3069 2018-06-15 07:56:09Z witha
[3069]	49	! Initialization of some arrays added
	50	!
	51	! 3066 2018-06-12 08:55:55Z Giersch
[3066]	52	! Error message revised
[3069]	53	!
[3066]	54	! 3065 2018-06-12 07:03:02Z Giersch
[3065]	55	! dz was replaced by dz(1), error message concerning grid stretching has been
	56	! introduced
	57	!
	58	! 3049 2018-05-29 13:52:36Z Giersch
[3049]	59	! Error messages revised
	60	!
	61	! 2932 2018-03-26 09:39:22Z Giersch
[2932]	62	! renamed wind_turbine_par to wind_turbine_parameters
	63	!
	64	! 2894 2018-03-15 09:17:58Z Giersch
[2894]	65	! variable named found has been introduced for checking if restart data was
	66	! found, reading of restart strings has been moved completely to
	67	! read_restart_data_mod, wind_turbine_prerun flag has been removed, redundant
	68	! skipping function has been removed, wtm_read/write_restart_data have been
	69	! renamed to wtm_r/wrd_global, wtm_rrd_global is called in
	70	! read_restart_data_mod now, marker * end wtm * was removed, strings and
	71	! their respective lengths are written out and read now in case of restart
	72	! runs to get rid of prescribed character lengths, CASE DEFAULT was added if
	73	! restart data is read
	74	!
	75	! 2885 2018-03-14 11:02:46Z Giersch
[2836]	76	! Bugfix in interpolation of lift and drag coefficients on fine grid of radius
	77	! segments and angles of attack, speed-up of the initialization of the wind
	78	! turbine model
	79	!
	80	! 2792 2018-02-07 06:45:29Z Giersch
[2792]	81	! omega_rot_l has to be calculated after determining the indices for the hub in
	82	! case of restart runs
	83	!
	84	! 2776 2018-01-31 10:44:42Z Giersch
[2776]	85	! wind_turbine_prerun flag is used to define if module
	86	! related parameters were outputted as restart data
	87	!
	88	! 2718 2018-01-02 08:49:38Z maronga
[2716]	89	! Corrected "Former revisions" section
	90	!
	91	! 2696 2017-12-14 17:12:51Z kanani
	92	! Change in file header (GPL part)
	93	!
	94	! 2669 2017-12-06 16:03:27Z raasch
[2669]	95	! filename of turbine output changed to WTM_OUTPUT_DATA. File extension now
	96	! includes the nest domain number. Turbine extension changed to "_T##"
	97	!
	98	! 2576 2017-10-24 13:49:46Z Giersch
[2894]	99	! Definition of a new function called wtm_skip_global to skip module
[2576]	100	! parameters during reading restart data
	101	!
	102	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	103	! Restart runs with wind turbine model are possible now. For this purpose, two
	104	! new subroutines wtm_write_restart_data and wtm_read_restart_data had to be
	105	! defined
	106	!
	107	! 2553 2017-10-18 08:03:45Z Giersch
[2553]	108	! Bugfix of vertical loop in wtm_tendencies to account for different turbine
	109	! heights, bugfix of the interpolation of the u-component concerning the
	110	! vertical index and further small adjustments of the programming style
	111	!
	112	! 2410 2017-09-06 08:16:30Z Giersch
[2410]	113	! Revise error message PA0462
	114	!
	115	! 2349 2017-08-10 15:44:04Z Giersch
[2349]	116	! Add parameter pitch_rate to namelist and revise/add error messages
	117	!
	118	! 2343 2017-08-08 11:28:43Z Giersch
[2341]	119	! Unit correction in Doxygen comments
[2323]	120	!
[2343]	121	! 2323 2017-07-26 12:57:38Z Giersch
	122	! Change unit number of file WTM_DATA from 201 to 90
	123	!
[2323]	124	! 2322 2017-07-26 08:30:28Z Giersch
[2322]	125	! Bugfix of error message and assign error numbers
	126	!
	127	! 2257 2017-06-07 14:07:05Z witha
[2257]	128	! Bugfix: turb_cl_tab and turb_cd_tab were set to zero before being allocated
[1844]	129	!
[2257]	130	! 2233 2017-05-30 18:08:54Z suehring
	131	!
[2233]	132	! 2232 2017-05-30 17:47:52Z suehring
	133	! Adjustments to new topography concept
	134	!
[2153]	135	! 2152 2017-02-17 13:27:24Z lvollmer
	136	! Bugfix in subroutine wtm_read_blade_tables
	137	! Addition of a tip loss model
	138	!
[2016]	139	! 2015 2016-09-28 08:45:18Z lvollmer
	140	! Bugfix of pitch control
	141	!
[2001]	142	! 2000 2016-08-20 18:09:15Z knoop
	143	! Forced header and separation lines into 80 columns
	144	!
[1930]	145	! 1929 2016-06-09 16:25:25Z suehring
	146	! Bugfix: added preprocessor directives for parallel and serial mode
	147	!
[1917]	148	! 1914 2016-05-26 14:44:07Z witha
[1821]	149	! Initial revision
	150	!
[1819]	151	!
	152	! Description:
	153	! ------------
	154	!> This module calculates the effect of wind turbines on the flow fields. The
	155	!> initial version contains only the advanced actuator disk with rotation method
	156	!> (ADM-R).
	157	!> The wind turbines include the tower effect, can be yawed and tilted.
	158	!> The wind turbine model includes controllers for rotational speed, pitch and
	159	!> yaw.
	160	!> Currently some specifications of the NREL 5 MW reference turbine
	161	!> are hardcoded whereas most input data comes from separate files (currently
	162	!> external, planned to be included as namelist which will be read in
	163	!> automatically).
	164	!>
[3065]	165	!> @todo Replace dz(1) appropriatly to account for grid stretching
[1819]	166	!> @todo Revise code according to PALM Coding Standard
	167	!> @todo Implement ADM and ALM turbine models
	168	!> @todo Generate header information
[1917]	169	!> @todo Implement further parameter checks and error messages
[1819]	170	!> @todo Revise and add code documentation
	171	!> @todo Output turbine parameters as timeseries
	172	!> @todo Include additional output variables
[1864]	173	!> @todo Revise smearing the forces for turbines in yaw
	174	!> @todo Revise nacelle and tower parameterization
	175	!> @todo Allow different turbine types in one simulation
[1819]	176	!
	177	!------------------------------------------------------------------------------!
	178	MODULE wind_turbine_model_mod
	179
	180	USE arrays_3d, &
[2553]	181	ONLY: tend, u, v, w, zu, zw
[1819]	182
[3274]	183	USE basic_constants_and_equations_mod, &
[2553]	184	ONLY: pi
[1819]	185
	186	USE control_parameters, &
[2669]	187	ONLY: coupling_char, dt_3d, dz, message_string, simulated_time, &
[2894]	188	wind_turbine, initializing_actions
[1819]	189
	190	USE cpulog, &
	191	ONLY: cpu_log, log_point_s
	192
	193	USE grid_variables, &
	194	ONLY: ddx, dx, ddy, dy
	195
	196	USE indices, &
	197	ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nz, &
[2232]	198	nzb, nzt, wall_flags_0
[1819]	199
	200	USE kinds
	201
	202	USE pegrid
	203
	204
	205	IMPLICIT NONE
	206
[1864]	207	PRIVATE
[1819]	208
	209	!
	210	!-- Variables specified in the namelist wind_turbine_par
	211
[1864]	212	INTEGER(iwp) :: nairfoils = 8 !< number of airfoils of the used turbine model (for ADM-R and ALM)
[1839]	213	INTEGER(iwp) :: nturbines = 1 !< number of turbines
[1819]	214
[1839]	215	LOGICAL :: pitch_control = .FALSE. !< switch for use of pitch controller
	216	LOGICAL :: speed_control = .FALSE. !< switch for use of speed controller
	217	LOGICAL :: yaw_control = .FALSE. !< switch for use of yaw controller
[2152]	218	LOGICAL :: tl_cor = .FALSE. !< switch for use of tip loss correct.
[1819]	219
[1839]	220	REAL(wp) :: segment_length = 1.0_wp !< length of the segments, the rotor area is divided into
	221	!< (in tangential direction, as factor of MIN(dx,dy,dz))
	222	REAL(wp) :: segment_width = 0.5_wp !< width of the segments, the rotor area is divided into
	223	!< (in radial direction, as factor of MIN(dx,dy,dz))
	224	REAL(wp) :: time_turbine_on = 0.0_wp !< time at which turbines are started
	225	REAL(wp) :: tilt = 0.0_wp !< vertical tilt of the rotor [degree] ( positive = backwards )
[1819]	226
[1912]	227	REAL(wp), DIMENSION(1:100) :: dtow = 0.0_wp !< tower diameter [m]
[2553]	228	REAL(wp), DIMENSION(1:100) :: omega_rot = 0.9_wp !< inital or constant rotor speed [rad/s]
[1912]	229	REAL(wp), DIMENSION(1:100) :: phi_yaw = 0.0_wp !< yaw angle [degree] ( clockwise, 0 = facing west )
	230	REAL(wp), DIMENSION(1:100) :: pitch_add = 0.0_wp !< constant pitch angle
	231	REAL(wp), DIMENSION(1:100) :: rcx = 9999999.9_wp !< position of hub in x-direction
	232	REAL(wp), DIMENSION(1:100) :: rcy = 9999999.9_wp !< position of hub in y-direction
	233	REAL(wp), DIMENSION(1:100) :: rcz = 9999999.9_wp !< position of hub in z-direction
	234	REAL(wp), DIMENSION(1:100) :: rnac = 0.0_wp !< nacelle diameter [m]
	235	REAL(wp), DIMENSION(1:100) :: rr = 63.0_wp !< rotor radius [m]
	236	REAL(wp), DIMENSION(1:100) :: turb_cd_nacelle = 0.85_wp !< drag coefficient for nacelle
	237	REAL(wp), DIMENSION(1:100) :: turb_cd_tower = 1.2_wp !< drag coefficient for tower
[1839]	238
[1819]	239	!
	240	!-- Variables specified in the namelist for speed controller
	241	!-- Default values are from the NREL 5MW research turbine (Jonkman, 2008)
	242
[1912]	243	REAL(wp) :: rated_power = 5296610.0_wp !< rated turbine power [W]
[1839]	244	REAL(wp) :: gear_ratio = 97.0_wp !< Gear ratio from rotor to generator
[2341]	245	REAL(wp) :: inertia_rot = 34784179.0_wp !< Inertia of the rotor [kg*m2]
	246	REAL(wp) :: inertia_gen = 534.116_wp !< Inertia of the generator [kg*m2]
[1839]	247	REAL(wp) :: gen_eff = 0.944_wp !< Electric efficiency of the generator
	248	REAL(wp) :: gear_eff = 1.0_wp !< Loss between rotor and generator
	249	REAL(wp) :: air_dens = 1.225_wp !< Air density to convert to W [kg/m3]
	250	REAL(wp) :: rated_genspeed = 121.6805_wp !< Rated generator speed [rad/s]
[1912]	251	REAL(wp) :: max_torque_gen = 47402.91_wp !< Maximum of the generator torque [Nm]
[1839]	252	REAL(wp) :: slope2 = 2.332287_wp !< Slope constant for region 2
	253	REAL(wp) :: min_reg2 = 91.21091_wp !< Lower generator speed boundary of region 2 [rad/s]
	254	REAL(wp) :: min_reg15 = 70.16224_wp !< Lower generator speed boundary of region 1.5 [rad/s]
[1912]	255	REAL(wp) :: max_trq_rate = 15000.0_wp !< Max generator torque increase [Nm/s]
	256	REAL(wp) :: pitch_rate = 8.0_wp !< Max pitch rate [degree/s]
[1839]	257
[1912]	258
[1819]	259	!
	260	!-- Variables specified in the namelist for yaw control
	261
[1839]	262	REAL(wp) :: yaw_speed = 0.005236_wp !< speed of the yaw actuator [rad/s]
	263	REAL(wp) :: max_miss = 0.08726_wp !< maximum tolerated yaw missalignment [rad]
	264	REAL(wp) :: min_miss = 0.008726_wp !< minimum yaw missalignment for which the actuator stops [rad]
	265
[1819]	266	!
	267	!-- Set flag for output files TURBINE_PARAMETERS
	268	TYPE file_status
	269	LOGICAL :: opened, opened_before
	270	END TYPE file_status
	271
[1912]	272	TYPE(file_status), DIMENSION(500) :: openfile_turb_mod = &
	273	file_status(.FALSE.,.FALSE.)
[1819]	274
	275	!
	276	!-- Variables for initialization of the turbine model
	277
[1839]	278	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	279	INTEGER(iwp) :: nsegs_max !< maximum number of segments (all turbines, required for allocation of arrays)
	280	INTEGER(iwp) :: nrings_max !< maximum number of rings (all turbines, required for allocation of arrays)
	281	INTEGER(iwp) :: ring !< ring loop index (ring number)
	282	INTEGER(iwp) :: upper_end !<
[1819]	283
[1839]	284	INTEGER(iwp), DIMENSION(1) :: lct !<
[1819]	285
[1912]	286	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_hub !< index belonging to x-position of the turbine
	287	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_smear !< index defining the area for the smearing of the forces (x-direction)
	288	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_hub !< index belonging to y-position of the turbine
	289	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_smear !< index defining the area for the smearing of the forces (y-direction)
	290	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_hub !< index belonging to hub height
	291	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_smear !< index defining the area for the smearing of the forces (z-direction)
	292	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nrings !< number of rings per turbine
	293	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nsegs_total !< total number of segments per turbine
[1819]	294
[1912]	295	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nsegs !< number of segments per ring and turbine
[1819]	296
[1912]	297	!
	298	!- parameters for the smearing from the rotor to the cartesian grid
[1864]	299	REAL(wp) :: pol_a !< parameter for the polynomial smearing fct
	300	REAL(wp) :: pol_b !< parameter for the polynomial smearing fct
[1912]	301	REAL(wp) :: delta_t_factor !<
[1864]	302	REAL(wp) :: eps_factor !<
[1839]	303	REAL(wp) :: eps_min !<
	304	REAL(wp) :: eps_min2 !<
	305	REAL(wp) :: sqrt_arg !<
[1819]	306
[1839]	307	!
	308	!-- Variables for the calculation of lift and drag coefficients
[1912]	309	REAL(wp), DIMENSION(:), ALLOCATABLE :: ard !<
	310	REAL(wp), DIMENSION(:), ALLOCATABLE :: crd !<
	311	REAL(wp), DIMENSION(:), ALLOCATABLE :: delta_r !< radial segment length
	312	REAL(wp), DIMENSION(:), ALLOCATABLE :: lrd !<
[1864]	313
[1912]	314	REAL(wp) :: accu_cl_cd_tab = 0.1_wp !< Accuracy of the interpolation of
	315	!< the lift and drag coeff [deg]
[1819]	316
[1912]	317	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_tab !< table of the blade drag coefficient
	318	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_tab !< table of the blade lift coefficient
[1819]	319
[1912]	320	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: nac_cd_surf !< 3d field of the tower drag coefficient
	321	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: tow_cd_surf !< 3d field of the nacelle drag coefficient
[1819]	322
	323	!
	324	!-- Variables for the calculation of the forces
[1912]	325
[1839]	326	REAL(wp) :: cur_r !<
	327	REAL(wp) :: phi_rotor !<
	328	REAL(wp) :: pre_factor !<
	329	REAL(wp) :: torque_seg !<
	330	REAL(wp) :: u_int_l !<
	331	REAL(wp) :: u_int_u !<
	332	REAL(wp) :: u_rot !<
	333	REAL(wp) :: v_int_l !<
	334	REAL(wp) :: v_int_u !<
	335	REAL(wp) :: w_int_l !<
	336	REAL(wp) :: w_int_u !<
[1912]	337	!
	338	!- Tendencies from the nacelle and tower thrust
	339	REAL(wp) :: tend_nac_x = 0.0_wp !<
	340	REAL(wp) :: tend_tow_x = 0.0_wp !<
	341	REAL(wp) :: tend_nac_y = 0.0_wp !<
	342	REAL(wp) :: tend_tow_y = 0.0_wp !<
[1819]	343
[1912]	344	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack !<
	345	REAL(wp), DIMENSION(:), ALLOCATABLE :: chord !<
	346	REAL(wp), DIMENSION(:), ALLOCATABLE :: phi_rel !<
	347	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_total !<
	348	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_rotor !<
	349	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl !<
	350	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd !<
	351	REAL(wp), DIMENSION(:), ALLOCATABLE :: vrel !<
	352	REAL(wp), DIMENSION(:), ALLOCATABLE :: vtheta !<
	353
	354	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rbx, rby, rbz !< coordinates of the blade elements
	355	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rotx, roty, rotz !< normal vectors to the rotor coordinates
	356
	357	!
	358	!- Fields for the interpolation of velocities on the rotor grid
	359	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int !<
	360	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int_1_l !<
	361	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int !<
	362	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int_1_l !<
	363	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int !<
	364	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int_1_l !<
	365
	366	!
	367	!- rotor tendencies on the segments
	368	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_seg !<
	369	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_y !<
	370	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_z !<
	371
	372	!
	373	!- rotor tendencies on the rings
	374	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: thrust_ring !<
	375	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_y !<
	376	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_z !<
	377
	378	!
	379	!- rotor tendencies on rotor grids for all turbines
	380	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: thrust !<
	381	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_y !<
	382	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_z !<
	383
	384	!
	385	!- rotor tendencies on coordinate grid
	386	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_x !<
	387	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_y !<
	388	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_z !<
	389	!
	390	!- variables for the rotation of the rotor coordinates
	391	REAL(wp), DIMENSION(1:100,1:3,1:3) :: rot_coord_trans !< matrix for rotation of rotor coordinates
	392
[1839]	393	REAL(wp), DIMENSION(1:3) :: rot_eigen_rad !<
	394	REAL(wp), DIMENSION(1:3) :: rot_eigen_azi !<
	395	REAL(wp), DIMENSION(1:3) :: rot_eigen_nor !<
	396	REAL(wp), DIMENSION(1:3) :: re !<
	397	REAL(wp), DIMENSION(1:3) :: rea !<
	398	REAL(wp), DIMENSION(1:3) :: ren !<
	399	REAL(wp), DIMENSION(1:3) :: rote !<
	400	REAL(wp), DIMENSION(1:3) :: rota !<
	401	REAL(wp), DIMENSION(1:3) :: rotn !<
[1819]	402
[1839]	403	!
	404	!-- Fixed variables for the speed controller
[1819]	405
[1912]	406	LOGICAL :: start_up = .TRUE. !<
[1864]	407
[1912]	408	REAL(wp) :: Fcorner !< corner freq for the controller low pass filter
	409	REAL(wp) :: min_reg25 !< min region 2.5
	410	REAL(wp) :: om_rate !< rotor speed change
	411	REAL(wp) :: slope15 !< slope in region 1.5
	412	REAL(wp) :: slope25 !< slope in region 2.5
	413	REAL(wp) :: trq_rate !< torque change
	414	REAL(wp) :: vs_sysp !<
	415	REAL(wp) :: lp_coeff !< coeff for the controller low pass filter
[1819]	416
[1864]	417	REAL(wp), DIMENSION(100) :: omega_rot_l = 0.0_wp !< local rot speed [rad/s]
[2563]	418
[1839]	419	!
	420	!-- Fixed variables for the yaw controller
[1819]	421
[1912]	422	REAL(wp), DIMENSION(:) , ALLOCATABLE :: yawdir !< direction to yaw
	423	REAL(wp), DIMENSION(:) , ALLOCATABLE :: phi_yaw_l !< local (cpu) yaw angle
	424	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd30_l !< local (cpu) long running avg of the wd
	425	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd2_l !< local (cpu) short running avg of the wd
	426	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir !< wind direction at hub
	427	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow !< wind speed at hub
	428	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir_l !<
	429	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow_l !<
	430	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd30 !<
	431	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd2 !<
	432	LOGICAL, DIMENSION(1:100) :: doyaw = .FALSE. !<
	433	INTEGER(iwp) :: WDLON !<
	434	INTEGER(iwp) :: WDSHO !<
[1819]	435
[2563]	436	!
	437	!-- Variables that have to be saved in the binary file for restarts
	438	REAL(wp), DIMENSION(1:100) :: pitch_add_old = 0.0_wp !< old constant pitch angle
	439	REAL(wp), DIMENSION(1:100) :: omega_gen = 0.0_wp !< curr. generator speed
	440	REAL(wp), DIMENSION(1:100) :: omega_gen_f = 0.0_wp !< filtered generator speed
	441	REAL(wp), DIMENSION(1:100) :: omega_gen_old = 0.0_wp !< last generator speed
	442	REAL(wp), DIMENSION(1:100) :: omega_gen_f_old = 0.0_wp !< last filtered generator speed
	443	REAL(wp), DIMENSION(1:100) :: torque_gen = 0.0_wp !< generator torque
	444	REAL(wp), DIMENSION(1:100) :: torque_gen_old = 0.0_wp !< last generator torque
[1819]	445
[2563]	446
[1839]	447	SAVE
[1819]	448
[1839]	449
	450	INTERFACE wtm_parin
	451	MODULE PROCEDURE wtm_parin
	452	END INTERFACE wtm_parin
[2563]	453
[2894]	454	INTERFACE wtm_wrd_global
	455	MODULE PROCEDURE wtm_wrd_global
	456	END INTERFACE wtm_wrd_global
[2576]	457
[2894]	458	INTERFACE wtm_rrd_global
	459	MODULE PROCEDURE wtm_rrd_global
	460	END INTERFACE wtm_rrd_global
[1912]	461
	462	INTERFACE wtm_check_parameters
	463	MODULE PROCEDURE wtm_check_parameters
	464	END INTERFACE wtm_check_parameters
[1839]	465
	466	INTERFACE wtm_init_arrays
	467	MODULE PROCEDURE wtm_init_arrays
	468	END INTERFACE wtm_init_arrays
	469
	470	INTERFACE wtm_init
	471	MODULE PROCEDURE wtm_init
	472	END INTERFACE wtm_init
	473
[1912]	474	INTERFACE wtm_read_blade_tables
	475	MODULE PROCEDURE wtm_read_blade_tables
	476	END INTERFACE wtm_read_blade_tables
[1839]	477
[1819]	478	INTERFACE wtm_forces
	479	MODULE PROCEDURE wtm_forces
[2553]	480	END INTERFACE wtm_forces
	481
	482	INTERFACE wtm_yawcontrol
[1839]	483	MODULE PROCEDURE wtm_yawcontrol
[2553]	484	END INTERFACE wtm_yawcontrol
[1864]	485
	486	INTERFACE wtm_rotate_rotor
	487	MODULE PROCEDURE wtm_rotate_rotor
	488	END INTERFACE wtm_rotate_rotor
	489
	490	INTERFACE wtm_speed_control
	491	MODULE PROCEDURE wtm_init_speed_control
	492	MODULE PROCEDURE wtm_speed_control
	493	END INTERFACE wtm_speed_control
[1819]	494
	495	INTERFACE wtm_tendencies
	496	MODULE PROCEDURE wtm_tendencies
	497	MODULE PROCEDURE wtm_tendencies_ij
	498	END INTERFACE wtm_tendencies
[1864]	499
	500
[1912]	501	PUBLIC wtm_check_parameters, wtm_forces, wtm_init, wtm_init_arrays, &
[2894]	502	wtm_parin, wtm_wrd_global, wtm_rrd_global, wtm_tendencies
[1819]	503
[2563]	504
[1819]	505	CONTAINS
	506
	507
	508	!------------------------------------------------------------------------------!
	509	! Description:
	510	! ------------
[1839]	511	!> Parin for &wind_turbine_par for wind turbine model
[1819]	512	!------------------------------------------------------------------------------!
[1839]	513	SUBROUTINE wtm_parin
[1819]	514
	515
	516	IMPLICIT NONE
[1912]	517
	518	INTEGER(iwp) :: ierrn !<
[1819]	519
[1839]	520	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	521
	522	NAMELIST /wind_turbine_par/ air_dens, dtow, gear_eff, gear_ratio, &
[1864]	523	gen_eff, inertia_gen, inertia_rot, max_miss, &
[1839]	524	max_torque_gen, max_trq_rate, min_miss, &
[1864]	525	min_reg15, min_reg2, nairfoils, nturbines, &
[1912]	526	omega_rot, phi_yaw, pitch_add, pitch_control,&
[1839]	527	rated_genspeed, rated_power, rcx, rcy, rcz, &
	528	rnac, rr, segment_length, segment_width, &
[1864]	529	slope2, speed_control, tilt, time_turbine_on,&
[2349]	530	turb_cd_nacelle, turb_cd_tower, pitch_rate, &
[2152]	531	yaw_control, yaw_speed, tl_cor
[2932]	532
	533	NAMELIST /wind_turbine_parameters/ &
	534	air_dens, dtow, gear_eff, gear_ratio, &
	535	gen_eff, inertia_gen, inertia_rot, max_miss, &
	536	max_torque_gen, max_trq_rate, min_miss, &
	537	min_reg15, min_reg2, nairfoils, nturbines, &
	538	omega_rot, phi_yaw, pitch_add, pitch_control,&
	539	rated_genspeed, rated_power, rcx, rcy, rcz, &
	540	rnac, rr, segment_length, segment_width, &
	541	slope2, speed_control, tilt, time_turbine_on,&
	542	turb_cd_nacelle, turb_cd_tower, pitch_rate, &
	543	yaw_control, yaw_speed, tl_cor
[1819]	544	!
[1839]	545	!-- Try to find wind turbine model package
	546	REWIND ( 11 )
	547	line = ' '
[3248]	548	DO WHILE ( INDEX( line, '&wind_turbine_parameters' ) == 0 )
[3246]	549	READ ( 11, '(A)', END=12 ) line
[1839]	550	ENDDO
	551	BACKSPACE ( 11 )
	552
	553	!
	554	!-- Read user-defined namelist
[3246]	555	READ ( 11, wind_turbine_parameters, ERR = 10 )
[2932]	556	!
	557	!-- Set flag that indicates that the wind turbine model is switched on
	558	wind_turbine = .TRUE.
	559
[3246]	560	GOTO 14
[2932]	561
[3246]	562	10 BACKSPACE( 11 )
[3248]	563	READ( 11 , '(A)') line
	564	CALL parin_fail_message( 'wind_turbine_parameters', line )
[3246]	565
[2932]	566	!
	567	!-- Try to find wind turbine model package
[3246]	568	12 REWIND ( 11 )
[2932]	569	line = ' '
[3248]	570	DO WHILE ( INDEX( line, '&wind_turbine_par' ) == 0 )
[3246]	571	READ ( 11, '(A)', END=14 ) line
[2932]	572	ENDDO
	573	BACKSPACE ( 11 )
	574
	575	!
	576	!-- Read user-defined namelist
[3246]	577	READ ( 11, wind_turbine_par, ERR = 13, END = 14 )
[2932]	578
	579	message_string = 'namelist wind_tubrine_par is deprecated and will ' // &
[3046]	580	'be removed in near future. &Please use namelist ' // &
[2932]	581	'wind_turbine_parameters instead'
	582	CALL message( 'wtm_parin', 'PA0487', 0, 1, 0, 6, 0 )
	583
[1839]	584	!
	585	!-- Set flag that indicates that the wind turbine model is switched on
	586	wind_turbine = .TRUE.
	587
[3246]	588	GOTO 14
[2563]	589
[3246]	590	13 BACKSPACE( 11 )
[3248]	591	READ( 11 , '(A)') line
	592	CALL parin_fail_message( 'wind_turbine_par', line )
[1839]	593
[3246]	594	14 CONTINUE ! TBD Change from continue, mit ierrn machen
	595
	596
[1839]	597	END SUBROUTINE wtm_parin
	598
[2563]	599
	600	!------------------------------------------------------------------------------!
	601	! Description:
	602	! ------------
[2894]	603	!> This routine writes the respective restart data.
[2576]	604	!------------------------------------------------------------------------------!
[2894]	605	SUBROUTINE wtm_wrd_global
[2576]	606
	607
[2563]	608	IMPLICIT NONE
[2776]	609
[2563]	610
[2894]	611	CALL wrd_write_string( 'omega_gen' )
[2563]	612	WRITE ( 14 ) omega_gen
[2894]	613
	614	CALL wrd_write_string( 'omega_gen_f' )
[2563]	615	WRITE ( 14 ) omega_gen_f
[2894]	616
	617	CALL wrd_write_string( 'omega_gen_f_old' )
[2563]	618	WRITE ( 14 ) omega_gen_f_old
[2894]	619
	620	CALL wrd_write_string( 'omega_gen_old' )
[2563]	621	WRITE ( 14 ) omega_gen_old
[2894]	622
	623	CALL wrd_write_string( 'omega_rot' )
[2563]	624	WRITE ( 14 ) omega_rot
[2894]	625
	626	CALL wrd_write_string( 'phi_yaw' )
	627	WRITE ( 14 ) phi_yaw
	628
	629	CALL wrd_write_string( 'pitch_add' )
[2563]	630	WRITE ( 14 ) pitch_add
[2894]	631
	632	CALL wrd_write_string( 'pitch_add_old' )
[2563]	633	WRITE ( 14 ) pitch_add_old
[2894]	634
	635	CALL wrd_write_string( 'torque_gen' )
[2563]	636	WRITE ( 14 ) torque_gen
[2894]	637
	638	CALL wrd_write_string( 'torque_gen_old' )
[2563]	639	WRITE ( 14 ) torque_gen_old
[2894]	640
[2563]	641
[2894]	642	END SUBROUTINE wtm_wrd_global
[2563]	643
	644
	645	!------------------------------------------------------------------------------!
	646	! Description:
	647	! ------------
	648	!> This routine reads the respective restart data.
	649	!------------------------------------------------------------------------------!
[2894]	650	SUBROUTINE wtm_rrd_global( found )
[2563]	651
	652
[2894]	653	USE control_parameters, &
	654	ONLY: length, restart_string
	655
	656
[2563]	657	IMPLICIT NONE
	658
[2894]	659	LOGICAL, INTENT(OUT) :: found
[2563]	660
	661
[2894]	662	found = .TRUE.
[2563]	663
	664
[2894]	665	SELECT CASE ( restart_string(1:length) )
[2563]	666
[2894]	667	CASE ( 'omega_gen' )
	668	READ ( 13 ) omega_gen
	669	CASE ( 'omega_gen_f' )
	670	READ ( 13 ) omega_gen_f
	671	CASE ( 'omega_gen_f_old' )
	672	READ ( 13 ) omega_gen_f_old
	673	CASE ( 'omega_gen_old' )
	674	READ ( 13 ) omega_gen_old
	675	CASE ( 'omega_rot' )
	676	READ ( 13 ) omega_rot
	677	CASE ( 'phi_yaw' )
	678	READ ( 13 ) phi_yaw
	679	CASE ( 'pitch_add' )
	680	READ ( 13 ) pitch_add
	681	CASE ( 'pitch_add_old' )
	682	READ ( 13 ) pitch_add_old
	683	CASE ( 'torque_gen' )
	684	READ ( 13 ) torque_gen
	685	CASE ( 'torque_gen_old' )
	686	READ ( 13 ) torque_gen_old
[2563]	687
[2894]	688	CASE DEFAULT
[2563]	689
[2894]	690	found = .FALSE.
[2563]	691
[2894]	692	END SELECT
	693
[2563]	694
[2894]	695	END SUBROUTINE wtm_rrd_global
	696
	697
[2563]	698	!------------------------------------------------------------------------------!
	699	! Description:
	700	! ------------
	701	!> Check namelist parameter
	702	!------------------------------------------------------------------------------!
[1912]	703	SUBROUTINE wtm_check_parameters
	704
	705
	706	IMPLICIT NONE
	707
	708	IF ( ( .NOT.speed_control ) .AND. pitch_control ) THEN
	709	message_string = 'pitch_control = .TRUE. requires '// &
	710	'speed_control = .TRUE.'
[2322]	711	CALL message( 'wtm_check_parameters', 'PA0461', 1, 2, 0, 6, 0 )
[1912]	712	ENDIF
	713
[2322]	714	IF ( ANY( omega_rot(1:nturbines) < 0.0 ) ) THEN
	715	message_string = 'omega_rot < 0.0, Please set omega_rot to ' // &
[2792]	716	'a value equal or larger than zero'
[2322]	717	CALL message( 'wtm_check_parameters', 'PA0462', 1, 2, 0, 6, 0 )
[1912]	718	ENDIF
	719
	720
	721	IF ( ANY( rcx(1:nturbines) == 9999999.9_wp ) .OR. &
	722	ANY( rcy(1:nturbines) == 9999999.9_wp ) .OR. &
	723	ANY( rcz(1:nturbines) == 9999999.9_wp ) ) THEN
	724
	725	message_string = 'rcx, rcy, rcz ' // &
	726	'have to be given for each turbine.'
[2322]	727	CALL message( 'wtm_check_parameters', 'PA0463', 1, 2, 0, 6, 0 )
[1912]	728
	729	ENDIF
	730
	731
	732	END SUBROUTINE wtm_check_parameters
	733
	734
[1839]	735	!------------------------------------------------------------------------------!
	736	! Description:
	737	! ------------
	738	!> Allocate wind turbine model arrays
	739	!------------------------------------------------------------------------------!
	740	SUBROUTINE wtm_init_arrays
	741
	742
	743	IMPLICIT NONE
	744
[1864]	745	REAL(wp) :: delta_r_factor !<
	746	REAL(wp) :: delta_r_init !<
	747
[1839]	748	!
	749	!-- To be able to allocate arrays with dimension of rotor rings and segments,
[1819]	750	!-- the maximum possible numbers of rings and segments have to be calculated:
	751
	752	ALLOCATE( nrings(1:nturbines) )
	753	ALLOCATE( delta_r(1:nturbines) )
	754
	755	nrings(:) = 0
	756	delta_r(:) = 0.0_wp
	757
	758	!
	759	!-- Thickness (radial) of each ring and length (tangential) of each segment:
	760	delta_r_factor = segment_width
	761	delta_t_factor = segment_length
[3065]	762	delta_r_init = delta_r_factor * MIN( dx, dy, dz(1))
[1819]	763
	764	DO inot = 1, nturbines
	765	!
	766	!-- Determine number of rings:
	767	nrings(inot) = NINT( rr(inot) / delta_r_init )
	768
	769	delta_r(inot) = rr(inot) / nrings(inot)
	770
	771	ENDDO
	772
	773	nrings_max = MAXVAL(nrings)
	774
	775	ALLOCATE( nsegs(1:nrings_max,1:nturbines) )
	776	ALLOCATE( nsegs_total(1:nturbines) )
	777
	778	nsegs(:,:) = 0
	779	nsegs_total(:) = 0
	780
	781
	782	DO inot = 1, nturbines
	783	DO ring = 1, nrings(inot)
	784	!
	785	!-- Determine number of segments for each ring:
[1839]	786	nsegs(ring,inot) = MAX( 8, CEILING( delta_r_factor * pi * &
	787	( 2.0_wp * ring - 1.0_wp ) / &
	788	delta_t_factor ) )
[1819]	789	ENDDO
	790	!
	791	!-- Total sum of all rotor segments:
[1839]	792	nsegs_total(inot) = SUM( nsegs(:,inot) )
[1819]	793
	794	ENDDO
	795
	796	!
	797	!-- Maximum number of segments per ring:
	798	nsegs_max = MAXVAL(nsegs)
	799
[1864]	800	!!
	801	!!-- TODO: Folgendes im Header ausgeben!
	802	! IF ( myid == 0 ) THEN
	803	! PRINT*, 'nrings(1) = ', nrings(1)
	804	! PRINT*, '--------------------------------------------------'
	805	! PRINT*, 'nsegs(:,1) = ', nsegs(:,1)
	806	! PRINT*, '--------------------------------------------------'
	807	! PRINT*, 'nrings_max = ', nrings_max
	808	! PRINT*, 'nsegs_max = ', nsegs_max
	809	! PRINT*, 'nsegs_total(1) = ', nsegs_total(1)
	810	! ENDIF
[1819]	811
	812
	813	!
	814	!-- Allocate 1D arrays (dimension = number of turbines)
	815	ALLOCATE( i_hub(1:nturbines) )
	816	ALLOCATE( i_smear(1:nturbines) )
	817	ALLOCATE( j_hub(1:nturbines) )
	818	ALLOCATE( j_smear(1:nturbines) )
	819	ALLOCATE( k_hub(1:nturbines) )
	820	ALLOCATE( k_smear(1:nturbines) )
	821	ALLOCATE( torque_total(1:nturbines) )
[1912]	822	ALLOCATE( thrust_rotor(1:nturbines) )
[1819]	823
	824	!
	825	!-- Allocation of the 1D arrays for yaw control
	826	ALLOCATE( yawdir(1:nturbines) )
	827	ALLOCATE( u_inflow(1:nturbines) )
	828	ALLOCATE( wdir(1:nturbines) )
	829	ALLOCATE( u_inflow_l(1:nturbines) )
	830	ALLOCATE( wdir_l(1:nturbines) )
	831	ALLOCATE( phi_yaw_l(1:nturbines) )
	832
	833	!
	834	!-- Allocate 1D arrays (dimension = number of rotor segments)
	835	ALLOCATE( alpha_attack(1:nsegs_max) )
	836	ALLOCATE( chord(1:nsegs_max) )
	837	ALLOCATE( phi_rel(1:nsegs_max) )
	838	ALLOCATE( thrust_seg(1:nsegs_max) )
	839	ALLOCATE( torque_seg_y(1:nsegs_max) )
	840	ALLOCATE( torque_seg_z(1:nsegs_max) )
[1839]	841	ALLOCATE( turb_cd(1:nsegs_max) )
	842	ALLOCATE( turb_cl(1:nsegs_max) )
[1819]	843	ALLOCATE( vrel(1:nsegs_max) )
	844	ALLOCATE( vtheta(1:nsegs_max) )
	845
	846	!
	847	!-- Allocate 2D arrays (dimension = number of rotor rings and segments)
	848	ALLOCATE( rbx(1:nrings_max,1:nsegs_max) )
	849	ALLOCATE( rby(1:nrings_max,1:nsegs_max) )
	850	ALLOCATE( rbz(1:nrings_max,1:nsegs_max) )
	851	ALLOCATE( thrust_ring(1:nrings_max,1:nsegs_max) )
	852	ALLOCATE( torque_ring_y(1:nrings_max,1:nsegs_max) )
	853	ALLOCATE( torque_ring_z(1:nrings_max,1:nsegs_max) )
	854
	855	!
	856	!-- Allocate additional 2D arrays
	857	ALLOCATE( rotx(1:nturbines,1:3) )
	858	ALLOCATE( roty(1:nturbines,1:3) )
	859	ALLOCATE( rotz(1:nturbines,1:3) )
	860
	861	!
	862	!-- Allocate 3D arrays (dimension = number of grid points)
[1912]	863	ALLOCATE( nac_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	864	ALLOCATE( rot_tend_x(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	865	ALLOCATE( rot_tend_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	866	ALLOCATE( rot_tend_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	867	ALLOCATE( thrust(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	868	ALLOCATE( torque_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	869	ALLOCATE( torque_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1912]	870	ALLOCATE( tow_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	871
	872	!
	873	!-- Allocate additional 3D arrays
	874	ALLOCATE( u_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	875	ALLOCATE( u_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	876	ALLOCATE( v_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	877	ALLOCATE( v_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	878	ALLOCATE( w_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	879	ALLOCATE( w_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	880
	881	!
	882	!-- All of the arrays are initialized with a value of zero:
	883	i_hub(:) = 0
	884	i_smear(:) = 0
	885	j_hub(:) = 0
	886	j_smear(:) = 0
	887	k_hub(:) = 0
	888	k_smear(:) = 0
[1912]	889
[1819]	890	torque_total(:) = 0.0_wp
[1912]	891	thrust_rotor(:) = 0.0_wp
[1819]	892
[2563]	893	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	894	omega_gen(:) = 0.0_wp
	895	omega_gen_old(:) = 0.0_wp
	896	omega_gen_f(:) = 0.0_wp
	897	omega_gen_f_old(:) = 0.0_wp
	898	pitch_add_old(:) = 0.0_wp
	899	torque_gen(:) = 0.0_wp
	900	torque_gen_old(:) = 0.0_wp
	901	ENDIF
	902
[1819]	903	yawdir(:) = 0.0_wp
[3069]	904	wdir_l(:) = 0.0_wp
[1819]	905	wdir(:) = 0.0_wp
	906	u_inflow(:) = 0.0_wp
[3069]	907	u_inflow_l(:) = 0.0_wp
	908	phi_yaw_l(:) = 0.0_wp
[1819]	909
	910	!
	911	!-- Allocate 1D arrays (dimension = number of rotor segments)
	912	alpha_attack(:) = 0.0_wp
	913	chord(:) = 0.0_wp
	914	phi_rel(:) = 0.0_wp
	915	thrust_seg(:) = 0.0_wp
	916	torque_seg_y(:) = 0.0_wp
	917	torque_seg_z(:) = 0.0_wp
[1864]	918	turb_cd(:) = 0.0_wp
	919	turb_cl(:) = 0.0_wp
[1819]	920	vrel(:) = 0.0_wp
	921	vtheta(:) = 0.0_wp
	922
	923	rbx(:,:) = 0.0_wp
	924	rby(:,:) = 0.0_wp
	925	rbz(:,:) = 0.0_wp
	926	thrust_ring(:,:) = 0.0_wp
	927	torque_ring_y(:,:) = 0.0_wp
	928	torque_ring_z(:,:) = 0.0_wp
	929
	930	rotx(:,:) = 0.0_wp
	931	roty(:,:) = 0.0_wp
	932	rotz(:,:) = 0.0_wp
	933
[1912]	934	nac_cd_surf(:,:,:) = 0.0_wp
	935	rot_tend_x(:,:,:) = 0.0_wp
	936	rot_tend_y(:,:,:) = 0.0_wp
	937	rot_tend_z(:,:,:) = 0.0_wp
[1819]	938	thrust(:,:,:) = 0.0_wp
	939	torque_y(:,:,:) = 0.0_wp
	940	torque_z(:,:,:) = 0.0_wp
[1912]	941	tow_cd_surf(:,:,:) = 0.0_wp
[1819]	942
	943	u_int(:,:,:) = 0.0_wp
	944	u_int_1_l(:,:,:) = 0.0_wp
	945	v_int(:,:,:) = 0.0_wp
	946	v_int_1_l(:,:,:) = 0.0_wp
	947	w_int(:,:,:) = 0.0_wp
	948	w_int_1_l(:,:,:) = 0.0_wp
	949
	950
[1839]	951	END SUBROUTINE wtm_init_arrays
[1819]	952
	953
	954	!------------------------------------------------------------------------------!
	955	! Description:
	956	! ------------
[1839]	957	!> Initialization of the wind turbine model
[1819]	958	!------------------------------------------------------------------------------!
[1839]	959	SUBROUTINE wtm_init
[1819]	960
[1839]	961
[3065]	962	USE control_parameters, &
	963	ONLY: dz_stretch_level_start
	964
[1819]	965	IMPLICIT NONE
	966
	967	INTEGER(iwp) :: i !< running index
	968	INTEGER(iwp) :: j !< running index
	969	INTEGER(iwp) :: k !< running index
[1864]	970
[1819]	971	!
[1864]	972	!-- Help variables for the smearing function
	973	REAL(wp) :: eps_kernel !<
	974
[1839]	975	!
[1864]	976	!-- Help variables for calculation of the tower drag
	977	INTEGER(iwp) :: tower_n !<
	978	INTEGER(iwp) :: tower_s !<
[1839]	979	!
[1864]	980	!-- Help variables for the calulaction of the nacelle drag
	981	INTEGER(iwp) :: i_ip !<
	982	INTEGER(iwp) :: i_ipg !<
	983
	984	REAL(wp) :: yvalue
	985	REAL(wp) :: dy_int !<
	986	REAL(wp) :: dz_int !<
	987
	988	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: circle_points !<
	989
	990	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacb !<
	991	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacl !<
	992	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacr !<
	993	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nact !<
	994
	995	ALLOCATE( index_nacb(1:nturbines) )
	996	ALLOCATE( index_nacl(1:nturbines) )
	997	ALLOCATE( index_nacr(1:nturbines) )
	998	ALLOCATE( index_nact(1:nturbines) )
[1819]	999
[1839]	1000	!
[1819]	1001	!------------------------------------------------------------------------------!
[1839]	1002	!-- Calculation of parameters for the regularization kernel
	1003	!-- (smearing of the forces)
[1819]	1004	!------------------------------------------------------------------------------!
	1005	!
[1839]	1006	!-- In the following, some of the required parameters for the smearing will
	1007	!-- be calculated:
[1819]	1008
[1839]	1009	!-- The kernel is set equal to twice the grid spacing which has turned out to
	1010	!-- be a reasonable value (see e.g. Troldborg et al. (2013), Wind Energy,
[1819]	1011	!-- DOI: 10.1002/we.1608):
	1012	eps_kernel = 2.0_wp * dx
	1013	!
[1839]	1014	!-- The zero point (eps_min) of the polynomial function must be the following
	1015	!-- if the integral of the polynomial function (for values < eps_min) shall
	1016	!-- be equal to the integral of the Gaussian function used before:
	1017	eps_min = ( 105.0_wp / 32.0_wp )*( 1.0_wp / 3.0_wp ) &
	1018	pi*( 1.0_wp / 6.0_wp ) eps_kernel
[1819]	1019	!
[3065]	1020	!-- Stretching (non-uniform grid spacing) is not considered in the wind
	1021	!-- turbine model. Therefore, vertical stretching has to be applied above
	1022	!-- the area where the wtm is active. ABS (...) is required because the
	1023	!-- default value of dz_stretch_level_start is -9999999.9_wp (negative).
[3174]	1024	IF ( ABS( dz_stretch_level_start(1) ) <= MAXVAL(rcz(1:nturbines)) + &
	1025	MAXVAL(rr(1:nturbines)) + &
	1026	eps_min) THEN
[3065]	1027	WRITE( message_string, * ) 'The lowest level where vertical ', &
	1028	'stretching is applied &have to be ', &
[3174]	1029	'greater than ',MAXVAL(rcz(1:nturbines)) +&
	1030	MAXVAL(rr(1:nturbines)) + eps_min
[3066]	1031	CALL message( 'wtm_init', 'PA0484', 1, 2, 0, 6, 0 )
[3065]	1032	ENDIF
	1033	!
[1819]	1034	!-- Square of eps_min:
	1035	eps_min2 = eps_min**2
	1036	!
	1037	!-- Parameters in the polynomial function:
[1864]	1038	pol_a = 1.0_wp / eps_min**4
	1039	pol_b = 2.0_wp / eps_min**2
[1819]	1040	!
[1839]	1041	!-- Normalization factor which is the inverse of the integral of the smearing
	1042	!-- function:
	1043	eps_factor = 105.0_wp / ( 32.0_wp * pi * eps_min**3 )
	1044
[1864]	1045	!-- Change tilt angle to rad:
	1046	tilt = tilt * pi / 180.0_wp
	1047
[1819]	1048	!
[1864]	1049	!-- Change yaw angle to rad:
[2563]	1050	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	1051	phi_yaw(:) = phi_yaw(:) * pi / 180.0_wp
	1052	ENDIF
[1819]	1053
[1864]	1054
[1819]	1055	DO inot = 1, nturbines
	1056	!
[1864]	1057	!-- Rotate the rotor coordinates in case yaw and tilt are defined
	1058	CALL wtm_rotate_rotor( inot )
[1819]	1059
	1060	!
	1061	!-- Determine the indices of the hub height
	1062	i_hub(inot) = INT( rcx(inot) / dx )
	1063	j_hub(inot) = INT( ( rcy(inot) + 0.5_wp * dy ) / dy )
[3065]	1064	k_hub(inot) = INT( ( rcz(inot) + 0.5_wp * dz(1) ) / dz(1) )
[1819]	1065
	1066	!
	1067	!-- Determining the area to which the smearing of the forces is applied.
[1839]	1068	!-- As smearing now is effectively applied only for distances smaller than
	1069	!-- eps_min, the smearing area can be further limited and regarded as a
	1070	!-- function of eps_min:
[1819]	1071	i_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dx )
	1072	j_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dy )
[3065]	1073	k_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dz(1) )
[1864]	1074
[1819]	1075	ENDDO
	1076
	1077	!
[2792]	1078	!-- Call the wtm_init_speed_control subroutine and calculate the local
	1079	!-- omega_rot for the respective processor.
	1080	IF ( speed_control) THEN
	1081
	1082	CALL wtm_speed_control
	1083
	1084	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
	1085
	1086	DO inot = 1, nturbines
	1087
	1088	IF ( nxl > i_hub(inot) ) THEN
	1089	torque_gen(inot) = 0.0_wp
	1090	omega_gen_f(inot) = 0.0_wp
	1091	omega_rot_l(inot) = 0.0_wp
	1092	ENDIF
	1093
	1094	IF ( nxr < i_hub(inot) ) THEN
	1095	torque_gen(inot) = 0.0_wp
	1096	omega_gen_f(inot) = 0.0_wp
	1097	omega_rot_l(inot) = 0.0_wp
	1098	ENDIF
	1099
	1100	IF ( nys > j_hub(inot) ) THEN
	1101	torque_gen(inot) = 0.0_wp
	1102	omega_gen_f(inot) = 0.0_wp
	1103	omega_rot_l(inot) = 0.0_wp
	1104	ENDIF
	1105
	1106	IF ( nyn < j_hub(inot) ) THEN
	1107	torque_gen(inot) = 0.0_wp
	1108	omega_gen_f(inot) = 0.0_wp
	1109	omega_rot_l(inot) = 0.0_wp
	1110	ENDIF
	1111
	1112	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) THEN
	1113	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) ) THEN
	1114
	1115	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
	1116
	1117	ENDIF
	1118	ENDIF
	1119
	1120	END DO
	1121
	1122	ENDIF
	1123
	1124	ENDIF
	1125
	1126	!
[1819]	1127	!------------------------------------------------------------------------------!
[1839]	1128	!-- Determine the area within each grid cell that overlaps with the area
	1129	!-- of the nacelle and the tower (needed for calculation of the forces)
[1819]	1130	!------------------------------------------------------------------------------!
	1131	!
	1132	!-- Note: so far this is only a 2D version, in that the mean flow is
	1133	!-- perpendicular to the rotor area.
	1134
	1135	!
	1136	!-- Allocation of the array containing information on the intersection points
	1137	!-- between rotor disk and the numerical grid:
	1138	upper_end = ( ny + 1 ) * 10000
	1139
	1140	ALLOCATE( circle_points(1:2,1:upper_end) )
[1839]	1141
	1142	circle_points(:,:) = 0.0_wp
[1819]	1143
[1839]	1144
	1145	DO inot = 1, nturbines ! loop over number of turbines
[1819]	1146	!
[1839]	1147	!-- Determine the grid index (u-grid) that corresponds to the location of
	1148	!-- the rotor center (reduces the amount of calculations in the case that
	1149	!-- the mean flow is perpendicular to the rotor area):
[1819]	1150	i = i_hub(inot)
	1151
	1152	!
[1839]	1153	!-- Determine the left and the right edge of the nacelle (corresponding
	1154	!-- grid point indices):
[1819]	1155	index_nacl(inot) = INT( ( rcy(inot) - rnac(inot) + 0.5_wp * dy ) / dy )
	1156	index_nacr(inot) = INT( ( rcy(inot) + rnac(inot) + 0.5_wp * dy ) / dy )
	1157	!
[1839]	1158	!-- Determine the bottom and the top edge of the nacelle (corresponding
	1159	!-- grid point indices).The grid point index has to be increased by 1, as
	1160	!-- the first level for the u-component (index 0) is situated below the
	1161	!-- surface. All points between z=0 and z=dz/s would already be contained
	1162	!-- in grid box 1.
[3065]	1163	index_nacb(inot) = INT( ( rcz(inot) - rnac(inot) ) / dz(1) ) + 1
	1164	index_nact(inot) = INT( ( rcz(inot) + rnac(inot) ) / dz(1) ) + 1
[1819]	1165
	1166	!
	1167	!-- Determine the indices of the grid boxes containing the left and
[1864]	1168	!-- the right boundaries of the tower:
[1819]	1169	tower_n = ( rcy(inot) + 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	1170	tower_s = ( rcy(inot) - 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	1171
	1172	!
	1173	!-- Determine the fraction of the grid box area overlapping with the tower
[1864]	1174	!-- area and multiply it with the drag of the tower:
[1839]	1175	IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1819]	1176
	1177	DO j = nys, nyn
	1178	!
[1839]	1179	!-- Loop from south to north boundary of tower
	1180	IF ( ( j >= tower_s ) .AND. ( j <= tower_n ) ) THEN
	1181
[1819]	1182	DO k = nzb, nzt
	1183
	1184	IF ( k == k_hub(inot) ) THEN
	1185	IF ( tower_n - tower_s >= 1 ) THEN
[1839]	1186	!
[1819]	1187	!-- leftmost and rightmost grid box:
	1188	IF ( j == tower_s ) THEN
[1912]	1189	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1190	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*& ! extension in z-direction
[1912]	1191	( ( tower_s + 1.0_wp + 0.5_wp ) * dy - &
	1192	( rcy(inot) - 0.5_wp * dtow(inot) ) ) * & ! extension in y-direction
	1193	turb_cd_tower(inot)
[1819]	1194	ELSEIF ( j == tower_n ) THEN
[1912]	1195	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1196	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*& ! extension in z-direction
[1912]	1197	( ( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	1198	( tower_n + 0.5_wp ) * dy ) * & ! extension in y-direction
	1199	turb_cd_tower(inot)
[1819]	1200	!
	1201	!-- grid boxes inbetween
[1912]	1202	!-- (where tow_cd_surf = grid box area):
[1819]	1203	ELSE
[1912]	1204	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1205	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*&
[1912]	1206	dy * turb_cd_tower(inot)
[1819]	1207	ENDIF
	1208	!
	1209	!-- tower lies completely within one grid box:
	1210	ELSE
[3065]	1211	tow_cd_surf(k,j,i) = ( rcz(inot) - ( k_hub(inot) * &
	1212	dz(1) - 0.5_wp * dz(1) ) ) * &
[1912]	1213	dtow(inot) * turb_cd_tower(inot)
[1819]	1214	ENDIF
[1839]	1215	!
	1216	!-- In case that k is smaller than k_hub the following actions
	1217	!-- are carried out:
[1819]	1218	ELSEIF ( k < k_hub(inot) ) THEN
	1219
[1839]	1220	IF ( ( tower_n - tower_s ) >= 1 ) THEN
	1221	!
[1819]	1222	!-- leftmost and rightmost grid box:
	1223	IF ( j == tower_s ) THEN
[3065]	1224	tow_cd_surf(k,j,i) = dz(1) * ( &
[1839]	1225	( tower_s + 1 + 0.5_wp ) * dy - &
	1226	( rcy(inot) - 0.5_wp * dtow(inot) ) &
[1912]	1227	) * turb_cd_tower(inot)
[1819]	1228	ELSEIF ( j == tower_n ) THEN
[3065]	1229	tow_cd_surf(k,j,i) = dz(1) * ( &
[1839]	1230	( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	1231	( tower_n + 0.5_wp ) * dy &
[1912]	1232	) * turb_cd_tower(inot)
[1839]	1233	!
	1234	!-- grid boxes inbetween
[1912]	1235	!-- (where tow_cd_surf = grid box area):
[1819]	1236	ELSE
[3065]	1237	tow_cd_surf(k,j,i) = dz(1) * dy * &
	1238	turb_cd_tower(inot)
[1819]	1239	ENDIF
[1839]	1240	!
[1819]	1241	!-- tower lies completely within one grid box:
	1242	ELSE
[3065]	1243	tow_cd_surf(k,j,i) = dz(1) * dtow(inot) * &
[1912]	1244	turb_cd_tower(inot)
[1839]	1245	ENDIF ! end if larger than grid box
	1246
	1247	ENDIF ! end if k == k_hub
	1248
	1249	ENDDO ! end loop over k
	1250
	1251	ENDIF ! end if inside north and south boundary of tower
	1252
	1253	ENDDO ! end loop over j
	1254
	1255	ENDIF ! end if hub inside domain + ghostpoints
[1819]	1256
[1839]	1257
[1912]	1258	CALL exchange_horiz( tow_cd_surf, nbgp )
[1819]	1259
[1839]	1260	!
[1864]	1261	!-- Calculation of the nacelle area
	1262	!-- CAUTION: Currently disabled due to segmentation faults on the FLOW HPC
	1263	!-- cluster (Oldenburg)
	1264	!!
	1265	!!-- Tabulate the points on the circle that are required in the following for
	1266	!!-- the calculation of the Riemann integral (node points; they are called
	1267	!!-- circle_points in the following):
	1268	!
	1269	! dy_int = dy / 10000.0_wp
	1270	!
	1271	! DO i_ip = 1, upper_end
	1272	! yvalue = dy_int * ( i_ip - 0.5_wp ) + 0.5_wp * dy !<--- segmentation fault
	1273	! sqrt_arg = rnac(inot)2 - ( yvalue - rcy(inot) )2 !<--- segmentation fault
	1274	! IF ( sqrt_arg >= 0.0_wp ) THEN
	1275	!!
	1276	!!-- bottom intersection point
	1277	! circle_points(1,i_ip) = rcz(inot) - SQRT( sqrt_arg )
	1278	!!
	1279	!!-- top intersection point
	1280	! circle_points(2,i_ip) = rcz(inot) + SQRT( sqrt_arg ) !<--- segmentation fault
	1281	! ELSE
	1282	! circle_points(:,i_ip) = -111111 !<--- segmentation fault
	1283	! ENDIF
	1284	! ENDDO
	1285	!
	1286	!
	1287	! DO j = nys, nyn
	1288	!!
	1289	!!-- In case that the grid box is located completely outside the nacelle
	1290	!!-- (y) it can automatically be stated that there is no overlap between
	1291	!!-- the grid box and the nacelle and consequently we can set
[1912]	1292	!!-- nac_cd_surf(:,j,i) = 0.0:
[1864]	1293	! IF ( ( j >= index_nacl(inot) ) .AND. ( j <= index_nacr(inot) ) ) THEN
	1294	! DO k = nzb+1, nzt
	1295	!!
	1296	!!-- In case that the grid box is located completely outside the
	1297	!!-- nacelle (z) it can automatically be stated that there is no
	1298	!!-- overlap between the grid box and the nacelle and consequently
[1912]	1299	!!-- we can set nac_cd_surf(k,j,i) = 0.0:
[1864]	1300	! IF ( ( k >= index_nacb(inot) ) .OR. &
	1301	! ( k <= index_nact(inot) ) ) THEN
	1302	!!
	1303	!!-- For all other cases Riemann integrals are calculated.
	1304	!!-- Here, the points on the circle that have been determined
	1305	!!-- above are used in order to calculate the overlap between the
	1306	!!-- gridbox and the nacelle area (area approached by 10000
	1307	!!-- rectangulars dz_int * dy_int):
	1308	! DO i_ipg = 1, 10000
	1309	! dz_int = dz
	1310	! i_ip = j * 10000 + i_ipg
	1311	!!
	1312	!!-- Determine the vertical extension dz_int of the circle
	1313	!!-- within the current grid box:
	1314	! IF ( ( circle_points(2,i_ip) < zw(k) ) .AND. & !<--- segmentation fault
	1315	! ( circle_points(2,i_ip) >= zw(k-1) ) ) THEN
	1316	! dz_int = dz_int - & !<--- segmentation fault
	1317	! ( zw(k) - circle_points(2,i_ip) )
	1318	! ENDIF
	1319	! IF ( ( circle_points(1,i_ip) <= zw(k) ) .AND. & !<--- segmentation fault
	1320	! ( circle_points(1,i_ip) > zw(k-1) ) ) THEN
	1321	! dz_int = dz_int - &
	1322	! ( circle_points(1,i_ip) - zw(k-1) )
	1323	! ENDIF
	1324	! IF ( zw(k-1) > circle_points(2,i_ip) ) THEN
	1325	! dz_int = 0.0_wp
	1326	! ENDIF
	1327	! IF ( zw(k) < circle_points(1,i_ip) ) THEN
	1328	! dz_int = 0.0_wp
	1329	! ENDIF
	1330	! IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1912]	1331	! nac_cd_surf(k,j,i) = nac_cd_surf(k,j,i) + & !<--- segmentation fault
	1332	! dy_int * dz_int * turb_cd_nacelle(inot)
[1864]	1333	! ENDIF
	1334	! ENDDO
	1335	! ENDIF
	1336	! ENDDO
	1337	! ENDIF
[1819]	1338	!
[1864]	1339	! ENDDO
[1819]	1340	!
[1912]	1341	! CALL exchange_horiz( nac_cd_surf, nbgp ) !<--- segmentation fault
[1819]	1342
[1864]	1343	ENDDO ! end of loop over turbines
[1819]	1344
[3065]	1345	tow_cd_surf = tow_cd_surf / ( dx * dy * dz(1) ) ! Normalize tower drag
	1346	nac_cd_surf = nac_cd_surf / ( dx * dy * dz(1) ) ! Normalize nacelle drag
[1819]	1347
[1912]	1348	CALL wtm_read_blade_tables
[1839]	1349
[1864]	1350	END SUBROUTINE wtm_init
	1351
	1352
[1819]	1353	!------------------------------------------------------------------------------!
[1864]	1354	! Description:
	1355	! ------------
	1356	!> Read in layout of the rotor blade , the lift and drag tables
	1357	!> and the distribution of lift and drag tables along the blade
[1819]	1358	!------------------------------------------------------------------------------!
[1912]	1359	!
	1360	SUBROUTINE wtm_read_blade_tables
[1819]	1361
[1839]	1362
[1864]	1363	IMPLICIT NONE
	1364
	1365	INTEGER(iwp) :: ii !< running index
	1366	INTEGER(iwp) :: jj !< running index
[1843]	1367
[1864]	1368	INTEGER(iwp) :: ierrn !<
	1369
	1370	CHARACTER(200) :: chmess !< Read in string
[1839]	1371
[1864]	1372	INTEGER(iwp) :: dlen !< no. rows of local table
	1373	INTEGER(iwp) :: dlenbl !< no. rows of cd, cl table
	1374	INTEGER(iwp) :: ialpha !< table position of current alpha value
	1375	INTEGER(iwp) :: iialpha !<
	1376	INTEGER(iwp) :: iir !<
	1377	INTEGER(iwp) :: radres !< radial resolution
	1378	INTEGER(iwp) :: t1 !< no. of airfoil
	1379	INTEGER(iwp) :: t2 !< no. of airfoil
	1380	INTEGER(iwp) :: trow !<
	1381	INTEGER(iwp) :: dlenbl_int !< no. rows of interpolated cd, cl tables
[1839]	1382
[1864]	1383	REAL(wp) :: alpha_attack_i !<
	1384	REAL(wp) :: weight_a !<
	1385	REAL(wp) :: weight_b !<
[1839]	1386
[1864]	1387	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint1 !<
	1388	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint2 !<
[1839]	1389
[1864]	1390	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel1 !<
	1391	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel2 !<
	1392	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel1 !<
	1393	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel2 !<
	1394	REAL(wp), DIMENSION(:), ALLOCATABLE :: read_cl_cd !< read in var array
[1839]	1395
[1864]	1396	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack_tab !<
	1397	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad1 !<
	1398	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad2 !<
	1399	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_table !<
	1400	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_table !<
[1839]	1401
[1864]	1402	ALLOCATE ( read_cl_cd(1:2*nairfoils+1) )
[1839]	1403
[1864]	1404	!
	1405	!-- Read in the distribution of lift and drag tables along the blade, the
	1406	!-- layout of the rotor blade and the lift and drag tables:
	1407
[2323]	1408	OPEN ( 90, FILE='WTM_DATA', STATUS='OLD', FORM='FORMATTED', IOSTAT=ierrn )
[1864]	1409
	1410	IF ( ierrn /= 0 ) THEN
	1411	message_string = 'file WTM_DATA does not exist'
[2322]	1412	CALL message( 'wtm_init', 'PA0464', 1, 2, 0, 6, 0 )
[1864]	1413	ENDIF
	1414	!
	1415	!-- Read distribution table:
	1416
	1417	dlen = 0
	1418
[2323]	1419	READ ( 90, '(3/)' )
[1864]	1420
	1421	rloop3: DO
[2323]	1422	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1423	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop3
	1424	dlen = dlen + 1
	1425	ENDDO rloop3
	1426
	1427	ALLOCATE( trad1(1:dlen), trad2(1:dlen), ttoint1(1:dlen), ttoint2(1:dlen))
	1428
	1429	DO jj = 1,dlen+1
[2323]	1430	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1431	ENDDO
	1432
	1433	DO jj = 1,dlen
[2323]	1434	READ ( 90, * ) trad1(jj), trad2(jj), ttoint1(jj), ttoint2(jj)
[1864]	1435	ENDDO
	1436
	1437	!
	1438	!-- Read layout table:
	1439
[1839]	1440	dlen = 0
[1864]	1441
[2323]	1442	READ ( 90, '(3/)')
[1864]	1443
[1843]	1444	rloop1: DO
[2323]	1445	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1446	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop1
	1447	dlen = dlen + 1
[1843]	1448	ENDDO rloop1
[1864]	1449
[1839]	1450	ALLOCATE( lrd(1:dlen), ard(1:dlen), crd(1:dlen) )
[1864]	1451	DO jj = 1, dlen+1
[2323]	1452	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1453	ENDDO
	1454	DO jj = 1, dlen
[2323]	1455	READ ( 90, * ) lrd(jj), ard(jj), crd(jj)
[1839]	1456	ENDDO
[1819]	1457
[1864]	1458	!
	1459	!-- Read tables (turb_cl(alpha),turb_cd(alpha) for the different profiles:
[1819]	1460
[1864]	1461	dlen = 0
	1462
[2323]	1463	READ ( 90, '(3/)' )
[1864]	1464
[1843]	1465	rloop2: DO
[2323]	1466	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1467	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop2
	1468	dlen = dlen + 1
	1469	ENDDO rloop2
	1470
[1912]	1471	ALLOCATE( alpha_attack_tab(1:dlen), turb_cl_table(1:dlen,1:nairfoils), &
[1864]	1472	turb_cd_table(1:dlen,1:nairfoils) )
	1473
	1474	DO jj = 1,dlen+1
[2323]	1475	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1476	ENDDO
	1477
[1839]	1478	DO jj = 1,dlen
[2323]	1479	READ ( 90, * ) read_cl_cd
[1864]	1480	alpha_attack_tab(jj) = read_cl_cd(1)
	1481	DO ii= 1, nairfoils
	1482	turb_cl_table(jj,ii) = read_cl_cd(ii*2)
	1483	turb_cd_table(jj,ii) = read_cl_cd(ii*2+1)
[1819]	1484	ENDDO
[1864]	1485
[1839]	1486	ENDDO
[1864]	1487
	1488	dlenbl = dlen
	1489
[2323]	1490	CLOSE ( 90 )
[1819]	1491
[1864]	1492	!
[2836]	1493	!-- For each possible radial position (resolution: 0.1 m --> 631 values if rr(1)=63m)
	1494	!-- and each possible angle of attack (resolution: 0.1 degrees --> 3601 values!)
[1864]	1495	!-- determine the lift and drag coefficient by interpolating between the
	1496	!-- tabulated values of each table (interpolate to current angle of attack)
	1497	!-- and between the tables (interpolate to current radial position):
[1839]	1498
[2836]	1499	ALLOCATE( turb_cl_sel1(1:dlenbl) )
	1500	ALLOCATE( turb_cl_sel2(1:dlenbl) )
	1501	ALLOCATE( turb_cd_sel1(1:dlenbl) )
	1502	ALLOCATE( turb_cd_sel2(1:dlenbl) )
[1819]	1503
[1864]	1504	radres = INT( rr(1) * 10.0_wp ) + 1_iwp
	1505	dlenbl_int = INT( 360.0_wp / accu_cl_cd_tab ) + 1_iwp
[1839]	1506
[2836]	1507	ALLOCATE( turb_cl_tab(1:dlenbl_int,1:radres) )
	1508	ALLOCATE( turb_cd_tab(1:dlenbl_int,1:radres) )
[1864]	1509
[2836]	1510	DO iir = 1, radres ! loop over radius
[1864]	1511
[2836]	1512	cur_r = ( iir - 1_iwp ) * 0.1_wp
	1513	!
	1514	!-- Find position in table 1
	1515	lct = MINLOC( ABS( trad1 - cur_r ) )
	1516	! lct(1) = lct(1)
[1864]	1517
[2836]	1518	IF ( ( trad1(lct(1)) - cur_r ) .GT. 0.0 ) THEN
	1519	lct(1) = lct(1) - 1
	1520	ENDIF
[1864]	1521
[2836]	1522	trow = lct(1)
	1523	!
	1524	!-- Calculate weights for radius interpolation
	1525	weight_a = ( trad2(trow) - cur_r ) / ( trad2(trow) - trad1(trow) )
	1526	weight_b = ( cur_r - trad1(trow) ) / ( trad2(trow) - trad1(trow) )
	1527	t1 = ttoint1(trow)
	1528	t2 = ttoint2(trow)
[1864]	1529
[2836]	1530	IF ( t1 .EQ. t2 ) THEN ! if both are the same, the weights are NaN
	1531	weight_a = 0.5_wp ! then do interpolate in between same twice
	1532	weight_b = 0.5_wp ! using 0.5 as weight
	1533	ENDIF
	1534
	1535	IF ( t1 == 0 .AND. t2 == 0 ) THEN
	1536	turb_cd_sel1 = 0.0_wp
	1537	turb_cd_sel2 = 0.0_wp
	1538	turb_cl_sel1 = 0.0_wp
	1539	turb_cl_sel2 = 0.0_wp
	1540
[3593]	1541	turb_cd_tab(1,iir) = 0.0_wp ! For -180 degrees (iialpha=1) the values
[2836]	1542	turb_cl_tab(1,iir) = 0.0_wp ! for each radius has to be set
	1543	! explicitly
	1544	ELSE
	1545	turb_cd_sel1 = turb_cd_table(:,t1)
	1546	turb_cd_sel2 = turb_cd_table(:,t2)
	1547	turb_cl_sel1 = turb_cl_table(:,t1)
	1548	turb_cl_sel2 = turb_cl_table(:,t2)
	1549	!
[3593]	1550	!-- For -180 degrees (iialpha=1) the values for each radius has to be set
[2836]	1551	!-- explicitly
	1552	turb_cd_tab(1,iir) = ( weight_a * turb_cd_table(1,t1) + weight_b &
	1553	* turb_cd_table(1,t2) )
	1554	turb_cl_tab(1,iir) = ( weight_a * turb_cl_table(1,t1) + weight_b &
	1555	* turb_cl_table(1,t2) )
	1556	ENDIF
	1557
	1558	DO iialpha = 2, dlenbl_int ! loop over angles
	1559
[1864]	1560	alpha_attack_i = -180.0_wp + REAL( iialpha-1 ) * accu_cl_cd_tab
	1561	ialpha = 1
[2836]	1562
[2152]	1563	DO WHILE ( ( alpha_attack_i > alpha_attack_tab(ialpha) ) .AND. (ialpha <= dlen ) )
[1864]	1564	ialpha = ialpha + 1
	1565	ENDDO
[1819]	1566
[1864]	1567	!
[1912]	1568	!-- Interpolation of lift and drag coefficiencts on fine grid of radius
	1569	!-- segments and angles of attack
[3182]	1570
[1912]	1571	turb_cl_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1572	alpha_attack_i ) / &
[1864]	1573	( alpha_attack_tab(ialpha) - &
	1574	alpha_attack_tab(ialpha-1) ) * &
	1575	( weight_a * turb_cl_sel1(ialpha-1) + &
	1576	weight_b * turb_cl_sel2(ialpha-1) ) +&
	1577	( alpha_attack_i - &
	1578	alpha_attack_tab(ialpha-1) ) / &
	1579	( alpha_attack_tab(ialpha) - &
	1580	alpha_attack_tab(ialpha-1) ) * &
	1581	( weight_a * turb_cl_sel1(ialpha) + &
	1582	weight_b * turb_cl_sel2(ialpha) )
[1912]	1583	turb_cd_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1584	alpha_attack_i ) / &
[1864]	1585	( alpha_attack_tab(ialpha) - &
	1586	alpha_attack_tab(ialpha-1) ) * &
	1587	( weight_a * turb_cd_sel1(ialpha-1) + &
	1588	weight_b * turb_cd_sel2(ialpha-1) ) +&
	1589	( alpha_attack_i - &
	1590	alpha_attack_tab(ialpha-1) ) / &
	1591	( alpha_attack_tab(ialpha) - &
	1592	alpha_attack_tab(ialpha-1) ) * &
	1593	( weight_a * turb_cd_sel1(ialpha) + &
	1594	weight_b * turb_cd_sel2(ialpha) )
[2836]	1595
[1912]	1596	ENDDO ! end loop over angles of attack
[2836]	1597
	1598	ENDDO ! end loop over radius
[1819]	1599
[2836]	1600
[1912]	1601	END SUBROUTINE wtm_read_blade_tables
[1819]	1602
	1603
[1864]	1604	!------------------------------------------------------------------------------!
	1605	! Description:
	1606	! ------------
	1607	!> The projection matrix for the coordinate system of therotor disc in respect
	1608	!> to the yaw and tilt angle of the rotor is calculated
	1609	!------------------------------------------------------------------------------!
	1610	SUBROUTINE wtm_rotate_rotor( inot )
[1819]	1611
[1864]	1612
	1613	IMPLICIT NONE
	1614
	1615	INTEGER(iwp) :: inot
	1616	!
	1617	!-- Calculation of the rotation matrix for the application of the tilt to
	1618	!-- the rotors
	1619	rot_eigen_rad(1) = SIN( phi_yaw(inot) ) ! x-component of the radial eigenvector
	1620	rot_eigen_rad(2) = COS( phi_yaw(inot) ) ! y-component of the radial eigenvector
	1621	rot_eigen_rad(3) = 0.0_wp ! z-component of the radial eigenvector
	1622
	1623	rot_eigen_azi(1) = 0.0_wp ! x-component of the azimuth eigenvector
	1624	rot_eigen_azi(2) = 0.0_wp ! y-component of the azimuth eigenvector
	1625	rot_eigen_azi(3) = 1.0_wp ! z-component of the azimuth eigenvector
	1626
	1627	rot_eigen_nor(1) = COS( phi_yaw(inot) ) ! x-component of the normal eigenvector
	1628	rot_eigen_nor(2) = -SIN( phi_yaw(inot) ) ! y-component of the normal eigenvector
	1629	rot_eigen_nor(3) = 0.0_wp ! z-component of the normal eigenvector
[1839]	1630
[1864]	1631	!
	1632	!-- Calculation of the coordinate transformation matrix to apply a tilt to
	1633	!-- the rotor. If tilt = 0, rot_coord_trans is a unit matrix.
[1819]	1634
[1912]	1635	rot_coord_trans(inot,1,1) = rot_eigen_rad(1)*2 &
[1864]	1636	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1637	rot_coord_trans(inot,1,2) = rot_eigen_rad(1) * rot_eigen_rad(2) * &
	1638	( 1.0_wp - COS( tilt ) ) - &
[1864]	1639	rot_eigen_rad(3) * SIN( tilt )
[1912]	1640	rot_coord_trans(inot,1,3) = rot_eigen_rad(1) * rot_eigen_rad(3) * &
	1641	( 1.0_wp - COS( tilt ) ) + &
[1864]	1642	rot_eigen_rad(2) * SIN( tilt )
[1912]	1643	rot_coord_trans(inot,2,1) = rot_eigen_rad(2) * rot_eigen_rad(1) * &
	1644	( 1.0_wp - COS( tilt ) ) + &
[1864]	1645	rot_eigen_rad(3) * SIN( tilt )
[1912]	1646	rot_coord_trans(inot,2,2) = rot_eigen_rad(2)*2 &
[1864]	1647	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1648	rot_coord_trans(inot,2,3) = rot_eigen_rad(2) * rot_eigen_rad(3) * &
	1649	( 1.0_wp - COS( tilt ) ) - &
[1864]	1650	rot_eigen_rad(1) * SIN( tilt )
[1912]	1651	rot_coord_trans(inot,3,1) = rot_eigen_rad(3) * rot_eigen_rad(1) * &
	1652	( 1.0_wp - COS( tilt ) ) - &
[1864]	1653	rot_eigen_rad(2) * SIN( tilt )
[1912]	1654	rot_coord_trans(inot,3,2) = rot_eigen_rad(3) * rot_eigen_rad(2) * &
	1655	( 1.0_wp - COS( tilt ) ) + &
[1864]	1656	rot_eigen_rad(1) * SIN( tilt )
[1912]	1657	rot_coord_trans(inot,3,3) = rot_eigen_rad(3)*2 &
[1864]	1658	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1839]	1659
[1864]	1660	!
	1661	!-- Vectors for the Transformation of forces from the rotor's spheric
	1662	!-- coordinate system to the cartesian coordinate system
	1663	rotx(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_nor )
	1664	roty(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_rad )
	1665	rotz(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_azi )
	1666
	1667	END SUBROUTINE wtm_rotate_rotor
[1839]	1668
	1669
[1819]	1670	!------------------------------------------------------------------------------!
	1671	! Description:
	1672	! ------------
[1839]	1673	!> Calculation of the forces generated by the wind turbine
[1819]	1674	!------------------------------------------------------------------------------!
	1675	SUBROUTINE wtm_forces
	1676
[1864]	1677
[1819]	1678	IMPLICIT NONE
	1679
[2669]	1680	CHARACTER (LEN=4) :: turbine_id
[1819]	1681
[1839]	1682	INTEGER(iwp) :: i, j, k !< loop indices
	1683	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	1684	INTEGER(iwp) :: iialpha, iir !<
[3241]	1685	INTEGER(iwp) :: rseg !<
	1686	INTEGER(iwp) :: ring !<
[1839]	1687	INTEGER(iwp) :: ii, jj, kk !<
[1912]	1688
[2232]	1689	REAL(wp) :: flag !< flag to mask topography grid points
[1839]	1690	REAL(wp) :: sin_rot, cos_rot !<
	1691	REAL(wp) :: sin_yaw, cos_yaw !<
[1912]	1692
	1693	REAL(wp) :: aa, bb, cc, dd !< interpolation distances
	1694	REAL(wp) :: gg !< interpolation volume var
	1695
	1696	REAL(wp) :: dist_u_3d, dist_v_3d, dist_w_3d !< smearing distances
	1697
	1698
[1839]	1699	!
[1819]	1700	! Variables for pitch control
[3241]	1701	LOGICAL :: pitch_sw = .FALSE.
[1839]	1702
[3241]	1703	INTEGER(iwp), DIMENSION(1) :: lct = 0
	1704	REAL(wp), DIMENSION(1) :: rad_d = 0.0_wp
[2152]	1705
	1706	REAL(wp) :: tl_factor !< factor for tip loss correction
[1819]	1707
	1708
[1864]	1709	CALL cpu_log( log_point_s(61), 'wtm_forces', 'start' )
[1819]	1710
	1711
	1712	IF ( simulated_time >= time_turbine_on ) THEN
	1713
[1864]	1714	!
[1819]	1715	!-- Set forces to zero for each new time step:
	1716	thrust(:,:,:) = 0.0_wp
	1717	torque_y(:,:,:) = 0.0_wp
	1718	torque_z(:,:,:) = 0.0_wp
	1719	torque_total(:) = 0.0_wp
[1912]	1720	rot_tend_x(:,:,:) = 0.0_wp
	1721	rot_tend_y(:,:,:) = 0.0_wp
	1722	rot_tend_z(:,:,:) = 0.0_wp
	1723	thrust_rotor(:) = 0.0_wp
[1819]	1724	!
	1725	!-- Loop over number of turbines:
	1726	DO inot = 1, nturbines
	1727
	1728	cos_yaw = COS(phi_yaw(inot))
	1729	sin_yaw = SIN(phi_yaw(inot))
	1730	!
[1839]	1731	!-- Loop over rings of each turbine:
[1819]	1732	DO ring = 1, nrings(inot)
	1733
	1734	thrust_seg(:) = 0.0_wp
	1735	torque_seg_y(:) = 0.0_wp
	1736	torque_seg_z(:) = 0.0_wp
	1737	!
	1738	!-- Determine distance between each ring (center) and the hub:
	1739	cur_r = (ring - 0.5_wp) * delta_r(inot)
	1740
	1741	!
[1839]	1742	!-- Loop over segments of each ring of each turbine:
[1819]	1743	DO rseg = 1, nsegs(ring,inot)
	1744	!
[1864]	1745	!-- !-----------------------------------------------------------!
	1746	!-- !-- Determine coordinates of the ring segments --!
	1747	!-- !-----------------------------------------------------------!
[1819]	1748	!
[1864]	1749	!-- Determine angle of ring segment towards zero degree angle of
	1750	!-- rotor system (at zero degree rotor direction vectors aligned
	1751	!-- with y-axis):
[1819]	1752	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1753	cos_rot = COS( phi_rotor )
	1754	sin_rot = SIN( phi_rotor )
	1755
[1864]	1756	!-- Now the direction vectors can be determined with respect to
	1757	!-- the yaw and tilt angle:
[1819]	1758	re(1) = cos_rot * sin_yaw
[1839]	1759	re(2) = cos_rot * cos_yaw
[1819]	1760	re(3) = sin_rot
	1761
	1762	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1763	!
	1764	!-- Coordinates of the single segments (center points):
	1765	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	1766	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	1767	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	1768
[1864]	1769	!-- !-----------------------------------------------------------!
	1770	!-- !-- Interpolation of the velocity components from the --!
	1771	!-- !-- cartesian grid point to the coordinates of each ring --!
	1772	!-- !-- segment (follows a method used in the particle model) --!
	1773	!-- !-----------------------------------------------------------!
[1819]	1774
	1775	u_int(inot,ring,rseg) = 0.0_wp
	1776	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1777
	1778	v_int(inot,ring,rseg) = 0.0_wp
	1779	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1780
	1781	w_int(inot,ring,rseg) = 0.0_wp
	1782	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1783
	1784	!
	1785	!-- Interpolation of the u-component:
	1786
	1787	ii = rbx(ring,rseg) * ddx
	1788	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[3065]	1789	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	1790	!
[1864]	1791	!-- Interpolate only if all required information is available on
	1792	!-- the current PE:
[1839]	1793	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1794	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1795
[1839]	1796	aa = ( ( ii + 1 ) * dx - rbx(ring,rseg) ) * &
	1797	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1798	bb = ( rbx(ring,rseg) - ii * dx ) * &
	1799	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1800	cc = ( ( ii+1 ) * dx - rbx(ring,rseg) ) * &
	1801	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1802	dd = ( rbx(ring,rseg) - ii * dx ) * &
	1803	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1804	gg = dx * dy
	1805
[1864]	1806	u_int_l = ( aa * u(kk,jj,ii) + &
	1807	bb * u(kk,jj,ii+1) + &
	1808	cc * u(kk,jj+1,ii) + &
	1809	dd * u(kk,jj+1,ii+1) &
[1819]	1810	) / gg
	1811
[1864]	1812	u_int_u = ( aa * u(kk+1,jj,ii) + &
	1813	bb * u(kk+1,jj,ii+1) + &
	1814	cc * u(kk+1,jj+1,ii) + &
	1815	dd * u(kk+1,jj+1,ii+1) &
[1819]	1816	) / gg
	1817
[1864]	1818	u_int_1_l(inot,ring,rseg) = u_int_l + &
[3065]	1819	( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
[1819]	1820	( u_int_u - u_int_l )
	1821
	1822	ELSE
	1823	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1824	ENDIF
	1825	ELSE
	1826	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1827	ENDIF
	1828
	1829
	1830	!
	1831	!-- Interpolation of the v-component:
	1832	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
[1839]	1833	jj = rby(ring,rseg) * ddy
[3065]	1834	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	1835	!
[1864]	1836	!-- Interpolate only if all required information is available on
	1837	!-- the current PE:
[1839]	1838	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1839	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1840
[1839]	1841	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1842	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1843	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1844	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1845	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1846	( rby(ring,rseg) - jj * dy )
	1847	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1848	( rby(ring,rseg) - jj * dy )
[1819]	1849	gg = dx * dy
	1850
[1864]	1851	v_int_l = ( aa * v(kk,jj,ii) + &
	1852	bb * v(kk,jj,ii+1) + &
	1853	cc * v(kk,jj+1,ii) + &
	1854	dd * v(kk,jj+1,ii+1) &
[1819]	1855	) / gg
	1856
[1864]	1857	v_int_u = ( aa * v(kk+1,jj,ii) + &
	1858	bb * v(kk+1,jj,ii+1) + &
	1859	cc * v(kk+1,jj+1,ii) + &
	1860	dd * v(kk+1,jj+1,ii+1) &
[1819]	1861	) / gg
	1862
[1864]	1863	v_int_1_l(inot,ring,rseg) = v_int_l + &
[3065]	1864	( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
[1819]	1865	( v_int_u - v_int_l )
	1866
	1867	ELSE
	1868	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1869	ENDIF
	1870	ELSE
	1871	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1872	ENDIF
	1873
	1874
	1875	!
	1876	!-- Interpolation of the w-component:
	1877	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
	1878	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[3065]	1879	kk = rbz(ring,rseg) / dz(1)
[1819]	1880	!
[1864]	1881	!-- Interpolate only if all required information is available on
	1882	!-- the current PE:
[1839]	1883	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1884	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1885
[1839]	1886	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1887	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1888	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1889	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1890	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1891	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1892	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1893	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1894	gg = dx * dy
	1895
[1864]	1896	w_int_l = ( aa * w(kk,jj,ii) + &
	1897	bb * w(kk,jj,ii+1) + &
	1898	cc * w(kk,jj+1,ii) + &
	1899	dd * w(kk,jj+1,ii+1) &
[1819]	1900	) / gg
	1901
[1864]	1902	w_int_u = ( aa * w(kk+1,jj,ii) + &
	1903	bb * w(kk+1,jj,ii+1) + &
	1904	cc * w(kk+1,jj+1,ii) + &
	1905	dd * w(kk+1,jj+1,ii+1) &
[1819]	1906	) / gg
	1907
[1864]	1908	w_int_1_l(inot,ring,rseg) = w_int_l + &
[3065]	1909	( rbz(ring,rseg) - zw(kk) ) / dz(1) * &
[1819]	1910	( w_int_u - w_int_l )
	1911	ELSE
	1912	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1913	ENDIF
	1914	ELSE
	1915	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1916	ENDIF
	1917
	1918	ENDDO
	1919	ENDDO
	1920
	1921	ENDDO
	1922
	1923	!
	1924	!-- Exchange between PEs (information required on each PE):
	1925	#if defined( __parallel )
[1839]	1926	CALL MPI_ALLREDUCE( u_int_1_l, u_int, nturbines * MAXVAL(nrings) * &
	1927	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1928	CALL MPI_ALLREDUCE( v_int_1_l, v_int, nturbines * MAXVAL(nrings) * &
	1929	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1930	CALL MPI_ALLREDUCE( w_int_1_l, w_int, nturbines * MAXVAL(nrings) * &
	1931	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
[1819]	1932	#else
	1933	u_int = u_int_1_l
	1934	v_int = v_int_1_l
	1935	w_int = w_int_1_l
	1936	#endif
	1937
	1938
	1939	!
	1940	!-- Loop over number of turbines:
[1912]	1941
[1819]	1942	DO inot = 1, nturbines
[1912]	1943	pit_loop: DO
[1819]	1944
[1912]	1945	IF ( pitch_sw ) THEN
[1839]	1946	torque_total(inot) = 0.0_wp
[1912]	1947	thrust_rotor(inot) = 0.0_wp
	1948	pitch_add(inot) = pitch_add(inot) + 0.25_wp
	1949	! IF ( myid == 0 ) PRINT*, 'Pitch', inot, pitch_add(inot)
	1950	ELSE
	1951	cos_yaw = COS(phi_yaw(inot))
	1952	sin_yaw = SIN(phi_yaw(inot))
	1953	IF ( pitch_control ) THEN
	1954	pitch_add(inot) = MAX(pitch_add_old(inot) - pitch_rate * &
	1955	dt_3d , 0.0_wp )
	1956	ENDIF
[1819]	1957	ENDIF
	1958
[1839]	1959	!
	1960	!-- Loop over rings of each turbine:
[1819]	1961	DO ring = 1, nrings(inot)
	1962	!
	1963	!-- Determine distance between each ring (center) and the hub:
	1964	cur_r = (ring - 0.5_wp) * delta_r(inot)
[1839]	1965	!
	1966	!-- Loop over segments of each ring of each turbine:
[1819]	1967	DO rseg = 1, nsegs(ring,inot)
	1968	!
[1839]	1969	!-- Determine angle of ring segment towards zero degree angle of
	1970	!-- rotor system (at zero degree rotor direction vectors aligned
	1971	!-- with y-axis):
[1819]	1972	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1973	cos_rot = COS(phi_rotor)
	1974	sin_rot = SIN(phi_rotor)
	1975	!
[1839]	1976	!-- Now the direction vectors can be determined with respect to
	1977	!-- the yaw and tilt angle:
[1819]	1978	re(1) = cos_rot * sin_yaw
	1979	re(2) = cos_rot * cos_yaw
	1980	re(3) = sin_rot
	1981
[1864]	1982	! The current unit vector in azimuthal direction:
[1819]	1983	rea(1) = - sin_rot * sin_yaw
	1984	rea(2) = - sin_rot * cos_yaw
	1985	rea(3) = cos_rot
	1986
	1987	!
[1864]	1988	!-- To respect the yawing angle for the calculations of
	1989	!-- velocities and forces the unit vectors perpendicular to the
	1990	!-- rotor area in direction of the positive yaw angle are defined:
[1819]	1991	ren(1) = cos_yaw
	1992	ren(2) = - sin_yaw
	1993	ren(3) = 0.0_wp
	1994	!
	1995	!-- Multiplication with the coordinate transformation matrix
[1864]	1996	!-- gives the final unit vector with consideration of the rotor
	1997	!-- tilt:
[1819]	1998	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1999	rota = MATMUL( rot_coord_trans(inot,:,:), rea )
	2000	rotn = MATMUL( rot_coord_trans(inot,:,:), ren )
	2001	!
	2002	!-- Coordinates of the single segments (center points):
	2003	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	2004
	2005	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	2006
	2007	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	2008
	2009	!
[1864]	2010	!-- !-----------------------------------------------------------!
	2011	!-- !-- Calculation of various angles and relative velocities --!
	2012	!-- !-----------------------------------------------------------!
[1819]	2013	!
[1864]	2014	!-- In the following the 3D-velocity field is projected its
[2553]	2015	!-- components perpendicular and parallel to the rotor area
[1819]	2016	!-- The calculation of forces will be done in the rotor-
	2017	!-- coordinates y' and z.
	2018	!-- The yaw angle will be reintroduced when the force is applied
	2019	!-- on the hydrodynamic equations
[1864]	2020	!
	2021	!-- Projection of the xy-velocities relative to the rotor area
	2022	!
[1819]	2023	!-- Velocity perpendicular to the rotor area:
[1864]	2024	u_rot = u_int(inot,ring,rseg)*rotn(1) + &
	2025	v_int(inot,ring,rseg)*rotn(2) + &
[1819]	2026	w_int(inot,ring,rseg)*rotn(3)
	2027	!
[1864]	2028	!-- Projection of the 3D-velocity vector in the azimuthal
	2029	!-- direction:
	2030	vtheta(rseg) = rota(1) * u_int(inot,ring,rseg) + &
	2031	rota(2) * v_int(inot,ring,rseg) + &
[1819]	2032	rota(3) * w_int(inot,ring,rseg)
	2033	!
[1864]	2034	!-- Determination of the angle phi_rel between the rotor plane
	2035	!-- and the direction of the flow relative to the rotor:
[1819]	2036
[1864]	2037	phi_rel(rseg) = ATAN( u_rot / &
	2038	( omega_rot(inot) * cur_r - &
[1819]	2039	vtheta(rseg) ) )
	2040
	2041	!
[1864]	2042	!-- Interpolation of the local pitch angle from tabulated values
	2043	!-- to the current radial position:
[1819]	2044
	2045	lct=minloc(ABS(cur_r-lrd))
	2046	rad_d=cur_r-lrd(lct)
	2047
	2048	IF (cur_r == 0.0_wp) THEN
	2049	alpha_attack(rseg) = 0.0_wp
	2050	ELSE IF (cur_r >= lrd(size(ard))) THEN
[1864]	2051	alpha_attack(rseg) = ( ard(size(ard)) + &
	2052	ard(size(ard)-1) ) / 2.0_wp
[1819]	2053	ELSE
[1864]	2054	alpha_attack(rseg) = ( ard(lct(1)) * &
	2055	( ( lrd(lct(1)+1) - cur_r ) / &
	2056	( lrd(lct(1)+1) - lrd(lct(1)) ) &
	2057	) ) + ( ard(lct(1)+1) * &
	2058	( ( cur_r - lrd(lct(1)) ) / &
	2059	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2060	ENDIF
	2061
	2062	!
[1864]	2063	!-- In Fortran radian instead of degree is used as unit for all
	2064	!-- angles. Therefore, a transformation from angles given in
	2065	!-- degree to angles given in radian is necessary here:
	2066	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2067	( (2.0_wp*pi) / 360.0_wp )
	2068	!
[1864]	2069	!-- Substraction of the local pitch angle to obtain the local
	2070	!-- angle of attack:
[1819]	2071	alpha_attack(rseg) = phi_rel(rseg) - alpha_attack(rseg)
	2072	!
[1864]	2073	!-- Preliminary transformation back from angles given in radian
	2074	!-- to angles given in degree:
	2075	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2076	( 360.0_wp / (2.0_wp*pi) )
	2077	!
[1864]	2078	!-- Correct with collective pitch angle:
[3139]	2079	alpha_attack(rseg) = alpha_attack(rseg) - pitch_add(inot)
[1819]	2080
	2081	!
[1864]	2082	!-- Determination of the magnitude of the flow velocity relative
	2083	!-- to the rotor:
[1912]	2084	vrel(rseg) = SQRT( u_rot**2 + &
	2085	( omega_rot(inot) * cur_r - &
[1819]	2086	vtheta(rseg) )**2 )
	2087
	2088	!
[1864]	2089	!-- !-----------------------------------------------------------!
	2090	!-- !-- Interpolation of chord as well as lift and drag --!
	2091	!-- !-- coefficients from tabulated values --!
	2092	!-- !-----------------------------------------------------------!
[1819]	2093
	2094	!
[1864]	2095	!-- Interpolation of the chord_length from tabulated values to
	2096	!-- the current radial position:
[1819]	2097
	2098	IF (cur_r == 0.0_wp) THEN
	2099	chord(rseg) = 0.0_wp
	2100	ELSE IF (cur_r >= lrd(size(crd))) THEN
[1864]	2101	chord(rseg) = (crd(size(crd)) + ard(size(crd)-1)) / 2.0_wp
[1819]	2102	ELSE
[1864]	2103	chord(rseg) = ( crd(lct(1)) * &
	2104	( ( lrd(lct(1)+1) - cur_r ) / &
	2105	( lrd(lct(1)+1) - lrd(lct(1)) ) ) ) + &
	2106	( crd(lct(1)+1) * &
	2107	( ( cur_r-lrd(lct(1)) ) / &
	2108	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2109	ENDIF
	2110
	2111	!
	2112	!-- Determine index of current angle of attack, needed for
[1864]	2113	!-- finding the appropriate interpolated values of the lift and
[2836]	2114	!-- drag coefficients (-180.0 degrees = 1, +180.0 degrees = 3601,
	2115	!-- so one index every 0.1 degrees):
[1864]	2116	iialpha = CEILING( ( alpha_attack(rseg) + 180.0_wp ) &
[2836]	2117	* ( 1.0_wp / accu_cl_cd_tab ) ) + 1.0_wp
[1819]	2118	!
	2119	!-- Determine index of current radial position, needed for
[1864]	2120	!-- finding the appropriate interpolated values of the lift and
	2121	!-- drag coefficients (one index every 0.1 m):
[1819]	2122	iir = CEILING( cur_r * 10.0_wp )
	2123	!
[1864]	2124	!-- Read in interpolated values of the lift and drag coefficients
	2125	!-- for the current radial position and angle of attack:
[1839]	2126	turb_cl(rseg) = turb_cl_tab(iialpha,iir)
	2127	turb_cd(rseg) = turb_cd_tab(iialpha,iir)
[1819]	2128
	2129	!
[1864]	2130	!-- Final transformation back from angles given in degree to
	2131	!-- angles given in radian:
	2132	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2133	( (2.0_wp*pi) / 360.0_wp )
	2134
[2152]	2135	IF ( tl_cor ) THEN
	2136
	2137	!-- Tip loss correction following Schito
	2138	!-- Schito applies the tip loss correction only to the lift force
	2139	!-- Therefore, the tip loss correction is only applied to the lift
	2140	!-- coefficient and not to the drag coefficient in our case
	2141	!--
	2142	tl_factor = ( 2.0 / pi ) * &
	2143	ACOS( EXP( -1.0 * ( 3.0 * ( rr(inot) - cur_r ) / &
	2144	( 2.0 * cur_r * abs( sin( phi_rel(rseg) ) ) ) ) ) )
	2145
	2146	turb_cl(rseg) = tl_factor * turb_cl(rseg)
	2147
[2894]	2148	ENDIF
[1819]	2149	!
	2150	!-- !-----------------------------------------------------!
	2151	!-- !-- Calculation of the forces --!
	2152	!-- !-----------------------------------------------------!
	2153
	2154	!
[1864]	2155	!-- Calculate the pre_factor for the thrust and torque forces:
[1819]	2156
	2157	pre_factor = 0.5_wp * (vrel(rseg)*2) 3.0_wp * &
	2158	chord(rseg) * delta_r(inot) / nsegs(ring,inot)
	2159
	2160	!
[1864]	2161	!-- Calculate the thrust force (x-component of the total force)
	2162	!-- for each ring segment:
	2163	thrust_seg(rseg) = pre_factor * &
	2164	( turb_cl(rseg) * COS(phi_rel(rseg)) + &
	2165	turb_cd(rseg) * SIN(phi_rel(rseg)) )
[1819]	2166
	2167	!
[1864]	2168	!-- Determination of the second of the additional forces acting
	2169	!-- on the flow in the azimuthal direction: force vector as basis
	2170	!-- for torque (torque itself would be the vector product of the
	2171	!-- radius vector and the force vector):
	2172	torque_seg = pre_factor * &
	2173	( turb_cl(rseg) * SIN(phi_rel(rseg)) - &
[1839]	2174	turb_cd(rseg) * COS(phi_rel(rseg)) )
[1819]	2175	!
	2176	!-- Decomposition of the force vector into two parts:
[1864]	2177	!-- One acting along the y-direction and one acting along the
	2178	!-- z-direction of the rotor coordinate system:
[1819]	2179
	2180	torque_seg_y(rseg) = -torque_seg * sin_rot
	2181	torque_seg_z(rseg) = torque_seg * cos_rot
	2182
[1912]	2183	!
	2184	!-- Add the segment thrust to the thrust of the whole rotor
	2185	thrust_rotor(inot) = thrust_rotor(inot) + &
	2186	thrust_seg(rseg)
	2187
	2188
[1819]	2189	torque_total(inot) = torque_total(inot) + (torque_seg * cur_r)
	2190
[1864]	2191	ENDDO !-- end of loop over ring segments
[1819]	2192
	2193	!
[1864]	2194	!-- Restore the forces into arrays containing all the segments of
	2195	!-- each ring:
[1819]	2196	thrust_ring(ring,:) = thrust_seg(:)
	2197	torque_ring_y(ring,:) = torque_seg_y(:)
	2198	torque_ring_z(ring,:) = torque_seg_z(:)
	2199
	2200
[1864]	2201	ENDDO !-- end of loop over rings
[1819]	2202
	2203
[1864]	2204	CALL cpu_log( log_point_s(62), 'wtm_controller', 'start' )
[1819]	2205
[1912]	2206
	2207	IF ( speed_control ) THEN
	2208	!
	2209	!-- Calculation of the current generator speed for rotor speed control
	2210
	2211	!
	2212	!-- The acceleration of the rotor speed is calculated from
	2213	!-- the force balance of the accelerating torque
	2214	!-- and the torque of the rotating rotor and generator
	2215	om_rate = ( torque_total(inot) * air_dens * gear_eff - &
	2216	gear_ratio * torque_gen_old(inot) ) / &
	2217	( inertia_rot + &
	2218	gear_ratio * gear_ratio * inertia_gen ) * dt_3d
[1819]	2219
[1912]	2220	!
	2221	!-- The generator speed is given by the product of gear gear_ratio
	2222	!-- and rotor speed
	2223	omega_gen(inot) = gear_ratio * ( omega_rot(inot) + om_rate )
	2224
	2225	ENDIF
	2226
[1864]	2227	IF ( pitch_control ) THEN
[1819]	2228
[1912]	2229	!
	2230	!-- If the current generator speed is above rated, the pitch is not
	2231	!-- saturated and the change from the last time step is within the
	2232	!-- maximum pitch rate, then the pitch loop is repeated with a pitch
	2233	!-- gain
	2234	IF ( ( omega_gen(inot) > rated_genspeed ) .AND. &
	2235	( pitch_add(inot) < 25.0_wp ) .AND. &
	2236	( pitch_add(inot) < pitch_add_old(inot) + &
	2237	pitch_rate * dt_3d ) ) THEN
[1864]	2238	pitch_sw = .TRUE.
[1912]	2239	!
	2240	!-- Go back to beginning of pit_loop
	2241	CYCLE pit_loop
[1819]	2242	ENDIF
[1912]	2243
	2244	!
	2245	!-- The current pitch is saved for the next time step
	2246	pitch_add_old(inot) = pitch_add(inot)
[1864]	2247	pitch_sw = .FALSE.
[1819]	2248	ENDIF
[1912]	2249	EXIT pit_loop
	2250	ENDDO pit_loop ! Recursive pitch control loop
[1819]	2251
[1864]	2252
[1819]	2253	!
[1864]	2254	!-- Call the rotor speed controller
	2255
[1819]	2256	IF ( speed_control ) THEN
	2257	!
[1864]	2258	!-- Find processor at i_hub, j_hub
[1912]	2259	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2260	THEN
	2261	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2262	THEN
[1864]	2263	CALL wtm_speed_control( inot )
	2264	ENDIF
[1912]	2265	ENDIF
[1864]	2266
[1819]	2267	ENDIF
	2268
	2269
[1864]	2270	CALL cpu_log( log_point_s(62), 'wtm_controller', 'stop' )
[1819]	2271
[1864]	2272	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'start' )
[1819]	2273
	2274
[1864]	2275	!-- !-----------------------------------------------------------------!
	2276	!-- !-- Regularization kernel --!
	2277	!-- !-- Smearing of the forces and interpolation to cartesian grid --!
	2278	!-- !-----------------------------------------------------------------!
[1819]	2279	!
[1864]	2280	!-- The aerodynamic blade forces need to be distributed smoothly on
	2281	!-- several mesh points in order to avoid singular behaviour
[1819]	2282	!
	2283	!-- Summation over sum of weighted forces. The weighting factor
[1864]	2284	!-- (calculated in user_init) includes information on the distance
	2285	!-- between the center of the grid cell and the rotor segment under
	2286	!-- consideration
[1819]	2287	!
[1864]	2288	!-- To save computing time, apply smearing only for the relevant part
	2289	!-- of the model domain:
[1819]	2290	!
	2291	!--
	2292	!-- Calculation of the boundaries:
[1864]	2293	i_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,1) ) + &
	2294	eps_min ) / dx )
	2295	j_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,2) ) + &
	2296	eps_min ) / dy )
[1819]	2297
[1864]	2298	DO i = MAX( nxl, i_hub(inot) - i_smear(inot) ), &
[1819]	2299	MIN( nxr, i_hub(inot) + i_smear(inot) )
[1864]	2300	DO j = MAX( nys, j_hub(inot) - j_smear(inot) ), &
[1819]	2301	MIN( nyn, j_hub(inot) + j_smear(inot) )
[2232]	2302	! DO k = MAX( nzb_u_inner(j,i)+1, k_hub(inot) - k_smear(inot) ), &
	2303	! k_hub(inot) + k_smear(inot)
	2304	DO k = nzb+1, k_hub(inot) + k_smear(inot)
[1819]	2305	DO ring = 1, nrings(inot)
	2306	DO rseg = 1, nsegs(ring,inot)
	2307	!
[2232]	2308	!-- Predetermine flag to mask topography
	2309	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 1 ) )
	2310
	2311	!
[1819]	2312	!-- Determine the square of the distance between the
	2313	!-- current grid point and each rotor area segment:
[1864]	2314	dist_u_3d = ( i * dx - rbx(ring,rseg) )**2 + &
	2315	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
[3065]	2316	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1864]	2317	dist_v_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2318	( j * dy - rby(ring,rseg) )**2 + &
[3065]	2319	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1864]	2320	dist_w_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2321	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
[3065]	2322	( k * dz(1) - rbz(ring,rseg) )**2
[1819]	2323
	2324	!
	2325	!-- 3D-smearing of the forces with a polynomial function
	2326	!-- (much faster than the old Gaussian function), using
	2327	!-- some parameters that have been calculated in user_init.
	2328	!-- The function is only similar to Gaussian function for
	2329	!-- squared distances <= eps_min2:
	2330	IF ( dist_u_3d <= eps_min2 ) THEN
[2232]	2331	thrust(k,j,i) = thrust(k,j,i) + &
	2332	thrust_ring(ring,rseg) * &
	2333	( ( pol_a * dist_u_3d - pol_b ) * &
	2334	dist_u_3d + 1.0_wp ) * eps_factor *&
	2335	flag
[1819]	2336	ENDIF
	2337	IF ( dist_v_3d <= eps_min2 ) THEN
[2232]	2338	torque_y(k,j,i) = torque_y(k,j,i) + &
	2339	torque_ring_y(ring,rseg) * &
	2340	( ( pol_a * dist_v_3d - pol_b ) * &
	2341	dist_v_3d + 1.0_wp ) * eps_factor * &
	2342	flag
[1819]	2343	ENDIF
	2344	IF ( dist_w_3d <= eps_min2 ) THEN
[2232]	2345	torque_z(k,j,i) = torque_z(k,j,i) + &
	2346	torque_ring_z(ring,rseg) * &
	2347	( ( pol_a * dist_w_3d - pol_b ) * &
	2348	dist_w_3d + 1.0_wp ) * eps_factor * &
	2349	flag
[1819]	2350	ENDIF
	2351
	2352	ENDDO ! End of loop over rseg
	2353	ENDDO ! End of loop over ring
	2354
	2355	!
	2356	!-- Rotation of force components:
[2232]	2357	rot_tend_x(k,j,i) = rot_tend_x(k,j,i) + ( &
[1864]	2358	thrust(k,j,i)*rotx(inot,1) + &
	2359	torque_y(k,j,i)*roty(inot,1) + &
[2232]	2360	torque_z(k,j,i)*rotz(inot,1) &
	2361	) * flag
[1819]	2362
[2232]	2363	rot_tend_y(k,j,i) = rot_tend_y(k,j,i) + ( &
[1864]	2364	thrust(k,j,i)*rotx(inot,2) + &
	2365	torque_y(k,j,i)*roty(inot,2) + &
[2232]	2366	torque_z(k,j,i)*rotz(inot,2) &
	2367	) * flag
[1819]	2368
[2232]	2369	rot_tend_z(k,j,i) = rot_tend_z(k,j,i) + ( &
[1864]	2370	thrust(k,j,i)*rotx(inot,3) + &
	2371	torque_y(k,j,i)*roty(inot,3) + &
[2232]	2372	torque_z(k,j,i)*rotz(inot,3) &
	2373	) * flag
[1819]	2374
	2375	ENDDO ! End of loop over k
	2376	ENDDO ! End of loop over j
	2377	ENDDO ! End of loop over i
	2378
[1864]	2379	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'stop' )
[1819]	2380
[1912]	2381	ENDDO !-- end of loop over turbines
[1819]	2382
	2383
	2384	IF ( yaw_control ) THEN
	2385	!
	2386	!-- Allocate arrays for yaw control at first call
	2387	!-- Can't be allocated before dt_3d is set
	2388	IF ( start_up ) THEN
[1864]	2389	WDLON = NINT( 30.0_wp / dt_3d ) ! 30s running mean array
[1819]	2390	ALLOCATE( wd30(1:nturbines,1:WDLON) )
[1912]	2391	wd30 = 999.0_wp ! Set to dummy value
[1819]	2392	ALLOCATE( wd30_l(1:WDLON) )
	2393
[1864]	2394	WDSHO = NINT( 2.0_wp / dt_3d ) ! 2s running mean array
[1819]	2395	ALLOCATE( wd2(1:nturbines,1:WDSHO) )
[1912]	2396	wd2 = 999.0_wp ! Set to dummy value
[1819]	2397	ALLOCATE( wd2_l(1:WDSHO) )
	2398	start_up = .FALSE.
	2399	ENDIF
	2400
	2401	!
	2402	!-- Calculate the inflow wind speed
	2403	!--
	2404	!-- Loop over number of turbines:
	2405	DO inot = 1, nturbines
	2406	!
	2407	!-- Find processor at i_hub, j_hub
[1912]	2408	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2409	THEN
	2410	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2411	THEN
[1864]	2412
[1819]	2413	u_inflow_l(inot) = u(k_hub(inot),j_hub(inot),i_hub(inot))
[1864]	2414
[1912]	2415	wdir_l(inot) = -1.0_wp * ATAN2( &
	2416	0.5_wp * ( v(k_hub(inot),j_hub(inot),i_hub(inot)+1) + &
	2417	v(k_hub(inot),j_hub(inot),i_hub(inot)) ) , &
	2418	0.5_wp * ( u(k_hub(inot),j_hub(inot)+1,i_hub(inot)) + &
	2419	u(k_hub(inot),j_hub(inot),i_hub(inot)) ) )
[1864]	2420
	2421	CALL wtm_yawcontrol( inot )
	2422
[1819]	2423	phi_yaw_l(inot) = phi_yaw(inot)
[2015]	2424
[1819]	2425	ENDIF
	2426	ENDIF
	2427
[1864]	2428	ENDDO !-- end of loop over turbines
	2429
	2430	!
[1929]	2431	!-- Transfer of information to the other cpus
	2432	#if defined( __parallel )
[1864]	2433	CALL MPI_ALLREDUCE( u_inflow_l, u_inflow, nturbines, MPI_REAL, &
	2434	MPI_SUM, comm2d, ierr )
	2435	CALL MPI_ALLREDUCE( wdir_l, wdir, nturbines, MPI_REAL, MPI_SUM, &
	2436	comm2d, ierr )
	2437	CALL MPI_ALLREDUCE( phi_yaw_l, phi_yaw, nturbines, MPI_REAL, &
	2438	MPI_SUM, comm2d, ierr )
[1929]	2439	#else
	2440	u_inflow = u_inflow_l
	2441	wdir = wdir_l
	2442	phi_yaw = phi_yaw_l
[2015]	2443
	2444
[1929]	2445	#endif
[1819]	2446	DO inot = 1, nturbines
[1864]	2447	!
	2448	!-- Update rotor orientation
	2449	CALL wtm_rotate_rotor( inot )
[1819]	2450
	2451	ENDDO ! End of loop over turbines
	2452
[2894]	2453	ENDIF ! end of yaw control
[1864]	2454
	2455	IF ( speed_control ) THEN
	2456	!
	2457	!-- Transfer of information to the other cpus
[1912]	2458	! CALL MPI_ALLREDUCE( omega_gen, omega_gen_old, nturbines, &
	2459	! MPI_REAL,MPI_SUM, comm2d, ierr )
[1929]	2460	#if defined( __parallel )
[1864]	2461	CALL MPI_ALLREDUCE( torque_gen, torque_gen_old, nturbines, &
	2462	MPI_REAL, MPI_SUM, comm2d, ierr )
	2463	CALL MPI_ALLREDUCE( omega_rot_l, omega_rot, nturbines, &
	2464	MPI_REAL, MPI_SUM, comm2d, ierr )
[1912]	2465	CALL MPI_ALLREDUCE( omega_gen_f, omega_gen_f_old, nturbines, &
	2466	MPI_REAL, MPI_SUM, comm2d, ierr )
[1929]	2467	#else
	2468	torque_gen_old = torque_gen
	2469	omega_rot = omega_rot_l
	2470	omega_gen_f_old = omega_gen_f
	2471	#endif
[1864]	2472
	2473	ENDIF
[1819]	2474
	2475	DO inot = 1, nturbines
	2476
	2477	IF ( myid == 0 ) THEN
	2478	IF ( openfile_turb_mod(400+inot)%opened ) THEN
	2479	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2480	omega_gen(inot), torque_gen_old(inot), &
[1864]	2481	torque_total(inot), pitch_add(inot), &
[1912]	2482	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2483	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2484	thrust_rotor(inot), &
[1864]	2485	wdir(inot)*180.0_wp/pi, &
	2486	(phi_yaw(inot))*180.0_wp/pi
[1912]	2487
[1819]	2488	ELSE
	2489
[2669]	2490	WRITE ( turbine_id,'(A2,I2.2)') '_T', inot
	2491	OPEN ( 400+inot, FILE=( 'WTM_OUTPUT_DATA' // &
	2492	TRIM( coupling_char ) // &
	2493	turbine_id ), FORM='FORMATTED' )
[1819]	2494	WRITE ( 400+inot, 105 ) inot
	2495	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2496	omega_gen(inot), torque_gen_old(inot), &
[1864]	2497	torque_total(inot), pitch_add(inot), &
[1912]	2498	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2499	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2500	thrust_rotor(inot), &
[1864]	2501	wdir(inot)*180.0_wp/pi, &
	2502	(phi_yaw(inot))*180.0_wp/pi
[1819]	2503	ENDIF
	2504	ENDIF
	2505
[1912]	2506	!-- Set open flag
[1819]	2507	openfile_turb_mod(400+inot)%opened = .TRUE.
[1864]	2508	ENDDO !-- end of loop over turbines
[1819]	2509
	2510	ENDIF
	2511
[1864]	2512	CALL cpu_log( log_point_s(61), 'wtm_forces', 'stop' )
[1819]	2513
[1912]	2514	!
	2515	!-- Formats
[1819]	2516	105 FORMAT ('Turbine control data for turbine ',I2,1X,':'/ &
	2517	&'----------------------------------------'/ &
	2518	&' Time RSpeed GSpeed ', &
[1912]	2519	'GenTorque AeroTorque Pitch Power(Gen) Power(Rot) ', &
	2520	'RotThrust WDirection YawOrient')
[1819]	2521
[1864]	2522	106 FORMAT (F9.3,2X,F7.3,2X,F7.2,2X,F9.1,3X,F9.1,1X,F6.2,2X,F10.1,2X, &
	2523	F10.1,1X,F9.1,2X,F7.2,1X,F7.2)
[1819]	2524
	2525
	2526	END SUBROUTINE wtm_forces
	2527
	2528
[1839]	2529	!------------------------------------------------------------------------------!
	2530	! Description:
	2531	! ------------
	2532	!> Yaw controller for the wind turbine model
	2533	!------------------------------------------------------------------------------!
	2534	SUBROUTINE wtm_yawcontrol( inot )
	2535
[1819]	2536	USE kinds
[1839]	2537
	2538	IMPLICIT NONE
[1819]	2539
	2540	INTEGER(iwp) :: inot
	2541	INTEGER(iwp) :: i_wd_30
	2542	REAL(wp) :: missal
	2543
	2544	i_wd_30 = 0_iwp
	2545
	2546	!
[1864]	2547	!-- The yaw controller computes a 30s running mean of the wind direction.
	2548	!-- If the difference between turbine alignment and wind direction exceeds
[3593]	2549	!-- 5 degrees, the turbine is yawed. The mechanism stops as soon as the 2s-running
	2550	!-- mean of the missalignment is smaller than 0.5 degrees.
[1864]	2551	!-- Attention: If the timestep during the simulation changes significantly
	2552	!-- the lengths of the running means change and it does not correspond to
	2553	!-- 30s/2s anymore.
	2554	!-- ! Needs to be modified for these situations !
	2555	!-- For wind from the east, the averaging of the wind direction could cause
	2556	!-- problems and the yaw controller is probably flawed. -> Routine for
	2557	!-- averaging needs to be improved!
	2558	!
	2559	!-- Check if turbine is not yawing
[1819]	2560	IF ( .NOT. doyaw(inot) ) THEN
[1843]	2561	!
[1864]	2562	!-- Write current wind direction into array
[1843]	2563	wd30_l = wd30(inot,:)
	2564	wd30_l = CSHIFT( wd30_l, SHIFT=-1 )
[1819]	2565	wd30_l(1) = wdir(inot)
[1843]	2566	!
[1864]	2567	!-- Check if array is full ( no more dummies )
[1819]	2568	IF ( .NOT. ANY( wd30_l == 999.) ) THEN
	2569
	2570	missal = SUM( wd30_l ) / SIZE( wd30_l ) - phi_yaw(inot)
	2571	!
[1864]	2572	!-- Check if turbine is missaligned by more than max_miss
[1843]	2573	IF ( ABS( missal ) > max_miss ) THEN
	2574	!
[1864]	2575	!-- Check in which direction to yaw
[1843]	2576	yawdir(inot) = SIGN( 1.0_wp, missal )
[1819]	2577	!
[1864]	2578	!-- Start yawing of turbine
[1843]	2579	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2580	doyaw(inot) = .TRUE.
[1864]	2581	wd30_l = 999. ! fill with dummies again
[1819]	2582	ENDIF
	2583	ENDIF
	2584
	2585	wd30(inot,:) = wd30_l
	2586
	2587	!
[1864]	2588	!-- If turbine is already yawing:
	2589	!-- Initialize 2 s running mean and yaw until the missalignment is smaller
	2590	!-- than min_miss
[1819]	2591
	2592	ELSE
	2593	!
	2594	!-- Initialize 2 s running mean
	2595	wd2_l = wd2(inot,:)
[1864]	2596	wd2_l = CSHIFT( wd2_l, SHIFT = -1 )
[1819]	2597	wd2_l(1) = wdir(inot)
[1843]	2598	!
[1864]	2599	!-- Check if array is full ( no more dummies )
	2600	IF ( .NOT. ANY( wd2_l == 999.0_wp ) ) THEN
	2601	!
	2602	!-- Calculate missalignment of turbine
[1819]	2603	missal = SUM( wd2_l - phi_yaw(inot) ) / SIZE( wd2_l )
[1864]	2604	!
	2605	!-- Check if missalignment is still larger than 0.5 degree and if the
	2606	!-- yaw direction is still right
	2607	IF ( ( ABS( missal ) > min_miss ) .AND. &
	2608	( yawdir(inot) == SIGN( 1.0_wp, missal ) ) ) THEN
	2609	!
	2610	!-- Continue yawing
	2611	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2612	ELSE
[1864]	2613	!
	2614	!-- Stop yawing
[1819]	2615	doyaw(inot) = .FALSE.
[1864]	2616	wd2_l = 999.0_wp ! fill with dummies again
[1819]	2617	ENDIF
	2618	ELSE
[1864]	2619	!
	2620	!-- Continue yawing
[1843]	2621	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2622	ENDIF
	2623
	2624	wd2(inot,:) = wd2_l
	2625
	2626	ENDIF
	2627
[1839]	2628	END SUBROUTINE wtm_yawcontrol
[1819]	2629
[1864]	2630
[1819]	2631	!------------------------------------------------------------------------------!
	2632	! Description:
	2633	! ------------
[1864]	2634	!> Initialization of the speed control
	2635	!------------------------------------------------------------------------------!
	2636	SUBROUTINE wtm_init_speed_control
	2637
	2638
	2639	IMPLICIT NONE
	2640
	2641	!
	2642	!-- If speed control is set, remaining variables and control_parameters for
	2643	!-- the control algorithm are calculated
	2644	!
	2645	!-- Calculate slope constant for region 15
	2646	slope15 = ( slope2 * min_reg2 * min_reg2 ) / ( min_reg2 - min_reg15 )
	2647	!
	2648	!-- Calculate upper limit of slipage region
	2649	vs_sysp = rated_genspeed / 1.1_wp
	2650	!
	2651	!-- Calculate slope of slipage region
	2652	slope25 = ( rated_power / rated_genspeed ) / &
	2653	( rated_genspeed - vs_sysp )
	2654	!
	2655	!-- Calculate lower limit of slipage region
	2656	min_reg25 = ( slope25 - SQRT( slope25 * ( slope25 - 4.0_wp * &
	2657	slope2 * vs_sysp ) ) ) / &
[2410]	2658	( 2.0_wp * slope2 )
[1864]	2659	!
	2660	!-- Frequency for the simple low pass filter
	2661	Fcorner = 0.25_wp
	2662	!
	2663	!-- At the first timestep the torque is set to its maximum to prevent
	2664	!-- an overspeeding of the rotor
[2563]	2665	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	2666	torque_gen_old(:) = max_torque_gen
	2667	ENDIF
[1864]	2668
	2669	END SUBROUTINE wtm_init_speed_control
	2670
	2671
	2672	!------------------------------------------------------------------------------!
	2673	! Description:
	2674	! ------------
	2675	!> Simple controller for the regulation of the rotor speed
	2676	!------------------------------------------------------------------------------!
	2677	SUBROUTINE wtm_speed_control( inot )
	2678
	2679
	2680	IMPLICIT NONE
	2681
[1912]	2682	INTEGER(iwp) :: inot
	2683
	2684
[1864]	2685
	2686	!
	2687	!-- The controller is based on the fortran script from Jonkman
	2688	!-- et al. 2009 "Definition of a 5 MW Reference Wind Turbine for
	2689	!-- offshore system developement"
	2690
	2691	!
	2692	!-- The generator speed is filtered by a low pass filter
	2693	!-- for the control of the generator torque
	2694	lp_coeff = EXP( -2.0_wp * 3.14_wp * dt_3d * Fcorner )
[1912]	2695	omega_gen_f(inot) = ( 1.0_wp - lp_coeff ) * omega_gen(inot) + lp_coeff *&
[1864]	2696	omega_gen_f_old(inot)
	2697
	2698	IF ( omega_gen_f(inot) <= min_reg15 ) THEN
	2699	!
	2700	!-- Region 1: Generator torque is set to zero to accelerate the rotor:
	2701	torque_gen(inot) = 0
	2702
	2703	ELSEIF ( omega_gen_f(inot) <= min_reg2 ) THEN
	2704	!
	2705	!-- Region 1.5: Generator torque is increasing linearly with rotor speed:
	2706	torque_gen(inot) = slope15 * ( omega_gen_f(inot) - min_reg15 )
	2707
	2708	ELSEIF ( omega_gen_f(inot) <= min_reg25 ) THEN
	2709	!
	2710	!-- Region 2: Generator torque is increased by the square of the generator
	2711	!-- speed to keep the TSR optimal:
	2712	torque_gen(inot) = slope2 * omega_gen_f(inot) * omega_gen_f(inot)
	2713
	2714	ELSEIF ( omega_gen_f(inot) < rated_genspeed ) THEN
	2715	!
	2716	!-- Region 2.5: Slipage region between 2 and 3:
	2717	torque_gen(inot) = slope25 * ( omega_gen_f(inot) - vs_sysp )
	2718
	2719	ELSE
	2720	!
	2721	!-- Region 3: Generator torque is antiproportional to the rotor speed to
	2722	!-- keep the power constant:
	2723	torque_gen(inot) = rated_power / omega_gen_f(inot)
	2724
	2725	ENDIF
	2726	!
	2727	!-- Calculate torque rate and confine with a max
	2728	trq_rate = ( torque_gen(inot) - torque_gen_old(inot) ) / dt_3d
	2729	trq_rate = MIN( MAX( trq_rate, -1.0_wp * max_trq_rate ), max_trq_rate )
	2730	!
	2731	!-- Calculate new gen torque and confine with max torque
	2732	torque_gen(inot) = torque_gen_old(inot) + trq_rate * dt_3d
	2733	torque_gen(inot) = MIN( torque_gen(inot), max_torque_gen )
	2734	!
	2735	!-- Overwrite values for next timestep
[1912]	2736	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
[1864]	2737
	2738
	2739	END SUBROUTINE wtm_speed_control
	2740
	2741
	2742	!------------------------------------------------------------------------------!
	2743	! Description:
	2744	! ------------
[1839]	2745	!> Application of the additional forces generated by the wind turbine on the
	2746	!> flow components (tendency terms)
	2747	!> Call for all grid points
[1819]	2748	!------------------------------------------------------------------------------!
	2749	SUBROUTINE wtm_tendencies( component )
	2750
[1839]	2751
[1819]	2752	IMPLICIT NONE
	2753
[1839]	2754	INTEGER(iwp) :: component !< prognostic variable (u,v,w)
	2755	INTEGER(iwp) :: i !< running index
	2756	INTEGER(iwp) :: j !< running index
	2757	INTEGER(iwp) :: k !< running index
[1819]	2758
	2759
	2760	SELECT CASE ( component )
	2761
	2762	CASE ( 1 )
	2763	!
	2764	!-- Apply the x-component of the force to the u-component of the flow:
[1864]	2765	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2766	DO i = nxlg, nxrg
	2767	DO j = nysg, nyng
[2553]	2768	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	2769	!
[1864]	2770	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2771	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[2553]	2772	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2773	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2774	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2553]	2775
[2232]	2776	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	2777	- tend_nac_x - tend_tow_x ) &
	2778	* MERGE( 1.0_wp, 0.0_wp, &
	2779	BTEST( wall_flags_0(k,j,i), 1 ) )
[1819]	2780	ENDDO
	2781	ENDDO
	2782	ENDDO
	2783	ENDIF
	2784
	2785	CASE ( 2 )
	2786	!
	2787	!-- Apply the y-component of the force to the v-component of the flow:
[1864]	2788	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2789	DO i = nxlg, nxrg
	2790	DO j = nysg, nyng
[2553]	2791	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	2792	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2793	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2794	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2795	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	2796	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	2797	- tend_nac_y - tend_tow_y ) &
	2798	* MERGE( 1.0_wp, 0.0_wp, &
	2799	BTEST( wall_flags_0(k,j,i), 2 ) )
[1819]	2800	ENDDO
	2801	ENDDO
	2802	ENDDO
	2803	ENDIF
	2804
	2805	CASE ( 3 )
	2806	!
	2807	!-- Apply the z-component of the force to the w-component of the flow:
[1864]	2808	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2809	DO i = nxlg, nxrg
	2810	DO j = nysg, nyng
[2553]	2811	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	2812	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	2813	* MERGE( 1.0_wp, 0.0_wp, &
	2814	BTEST( wall_flags_0(k,j,i), 3 ) )
[1819]	2815	ENDDO
	2816	ENDDO
	2817	ENDDO
	2818	ENDIF
	2819
	2820
	2821	CASE DEFAULT
	2822
	2823	WRITE( message_string, * ) 'unknown prognostic variable: ', component
	2824	CALL message( 'wtm_tendencies', 'PA04??', 1, 2, 0, 6, 0 )
	2825
	2826	END SELECT
	2827
	2828
	2829	END SUBROUTINE wtm_tendencies
	2830
	2831
	2832	!------------------------------------------------------------------------------!
	2833	! Description:
	2834	! ------------
[1839]	2835	!> Application of the additional forces generated by the wind turbine on the
	2836	!> flow components (tendency terms)
	2837	!> Call for grid point i,j
[1819]	2838	!------------------------------------------------------------------------------!
	2839	SUBROUTINE wtm_tendencies_ij( i, j, component )
	2840
	2841
	2842	IMPLICIT NONE
	2843
[1839]	2844	INTEGER(iwp) :: component !< prognostic variable (u,v,w)
	2845	INTEGER(iwp) :: i !< running index
	2846	INTEGER(iwp) :: j !< running index
	2847	INTEGER(iwp) :: k !< running index
[1819]	2848
	2849	SELECT CASE ( component )
	2850
	2851	CASE ( 1 )
	2852	!
	2853	!-- Apply the x-component of the force to the u-component of the flow:
[1839]	2854	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2855	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	2856	!
[1839]	2857	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2858	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2859	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2860	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2861	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2232]	2862	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	2863	- tend_nac_x - tend_tow_x ) &
	2864	* MERGE( 1.0_wp, 0.0_wp, &
[2553]	2865	BTEST( wall_flags_0(k,j,i), 1 ) )
[1819]	2866	ENDDO
	2867	ENDIF
	2868
	2869	CASE ( 2 )
	2870	!
	2871	!-- Apply the y-component of the force to the v-component of the flow:
[1839]	2872	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2873	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	2874	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2875	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2876	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2877	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	2878	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	2879	- tend_nac_y - tend_tow_y ) &
	2880	* MERGE( 1.0_wp, 0.0_wp, &
	2881	BTEST( wall_flags_0(k,j,i), 2 ) )
[2553]	2882	ENDDO
[1819]	2883	ENDIF
	2884
	2885	CASE ( 3 )
	2886	!
	2887	!-- Apply the z-component of the force to the w-component of the flow:
[1839]	2888	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2889	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	2890	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	2891	* MERGE( 1.0_wp, 0.0_wp, &
	2892	BTEST( wall_flags_0(k,j,i), 3 ) )
[1819]	2893	ENDDO
	2894	ENDIF
	2895
	2896
	2897	CASE DEFAULT
	2898
	2899	WRITE( message_string, * ) 'unknown prognostic variable: ', component
	2900	CALL message( 'wtm_tendencies', 'PA04??', 1, 2, 0, 6, 0 )
	2901
	2902	END SELECT
	2903
	2904
	2905	END SUBROUTINE wtm_tendencies_ij
	2906
	2907	END MODULE wind_turbine_model_mod

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