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source: palm/trunk/SOURCE/wind_turbine_model_mod.f90 @ 3163

Last change on this file since 3163 was 3139, checked in by Giersch, 6 years ago
Bugfix in calculation of alpha_attack and Bugfix for restarts in combination with grid stretching
Property svn:keywords set to `Id`
File size: 120.6 KB

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[1820]	1	!> @file wind_turbine_model_mod.f90
[1912]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1819]	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1819]	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
[2718]	17	! Copyright 2009-2018 Carl von Ossietzky Universitaet Oldenburg
	18	! Copyright 1997-2018 Leibniz Universitaet Hannover
[1912]	19	!------------------------------------------------------------------------------!
[1819]	20	!
	21	! Current revisions:
	22	! -----------------
[1913]	23	!
[3139]	24	!
[1913]	25	! Former revisions:
	26	! -----------------
	27	! $Id: wind_turbine_model_mod.f90 3139 2018-07-17 11:30:10Z witha $
[3139]	28	! Bugfix in calculation of alpha_attack
	29	!
	30	! 3069 2018-06-15 07:56:09Z witha
[3069]	31	! Initialization of some arrays added
	32	!
	33	! 3066 2018-06-12 08:55:55Z Giersch
[3066]	34	! Error message revised
[3069]	35	!
[3066]	36	! 3065 2018-06-12 07:03:02Z Giersch
[3065]	37	! dz was replaced by dz(1), error message concerning grid stretching has been
	38	! introduced
	39	!
	40	! 3049 2018-05-29 13:52:36Z Giersch
[3049]	41	! Error messages revised
	42	!
	43	! 2932 2018-03-26 09:39:22Z Giersch
[2932]	44	! renamed wind_turbine_par to wind_turbine_parameters
	45	!
	46	! 2894 2018-03-15 09:17:58Z Giersch
[2894]	47	! variable named found has been introduced for checking if restart data was
	48	! found, reading of restart strings has been moved completely to
	49	! read_restart_data_mod, wind_turbine_prerun flag has been removed, redundant
	50	! skipping function has been removed, wtm_read/write_restart_data have been
	51	! renamed to wtm_r/wrd_global, wtm_rrd_global is called in
	52	! read_restart_data_mod now, marker * end wtm * was removed, strings and
	53	! their respective lengths are written out and read now in case of restart
	54	! runs to get rid of prescribed character lengths, CASE DEFAULT was added if
	55	! restart data is read
	56	!
	57	! 2885 2018-03-14 11:02:46Z Giersch
[2836]	58	! Bugfix in interpolation of lift and drag coefficients on fine grid of radius
	59	! segments and angles of attack, speed-up of the initialization of the wind
	60	! turbine model
	61	!
	62	! 2792 2018-02-07 06:45:29Z Giersch
[2792]	63	! omega_rot_l has to be calculated after determining the indices for the hub in
	64	! case of restart runs
	65	!
	66	! 2776 2018-01-31 10:44:42Z Giersch
[2776]	67	! wind_turbine_prerun flag is used to define if module
	68	! related parameters were outputted as restart data
	69	!
	70	! 2718 2018-01-02 08:49:38Z maronga
[2716]	71	! Corrected "Former revisions" section
	72	!
	73	! 2696 2017-12-14 17:12:51Z kanani
	74	! Change in file header (GPL part)
	75	!
	76	! 2669 2017-12-06 16:03:27Z raasch
[2669]	77	! filename of turbine output changed to WTM_OUTPUT_DATA. File extension now
	78	! includes the nest domain number. Turbine extension changed to "_T##"
	79	!
	80	! 2576 2017-10-24 13:49:46Z Giersch
[2894]	81	! Definition of a new function called wtm_skip_global to skip module
[2576]	82	! parameters during reading restart data
	83	!
	84	! 2563 2017-10-19 15:36:10Z Giersch
[2563]	85	! Restart runs with wind turbine model are possible now. For this purpose, two
	86	! new subroutines wtm_write_restart_data and wtm_read_restart_data had to be
	87	! defined
	88	!
	89	! 2553 2017-10-18 08:03:45Z Giersch
[2553]	90	! Bugfix of vertical loop in wtm_tendencies to account for different turbine
	91	! heights, bugfix of the interpolation of the u-component concerning the
	92	! vertical index and further small adjustments of the programming style
	93	!
	94	! 2410 2017-09-06 08:16:30Z Giersch
[2410]	95	! Revise error message PA0462
	96	!
	97	! 2349 2017-08-10 15:44:04Z Giersch
[2349]	98	! Add parameter pitch_rate to namelist and revise/add error messages
	99	!
	100	! 2343 2017-08-08 11:28:43Z Giersch
[2341]	101	! Unit correction in Doxygen comments
[2323]	102	!
[2343]	103	! 2323 2017-07-26 12:57:38Z Giersch
	104	! Change unit number of file WTM_DATA from 201 to 90
	105	!
[2323]	106	! 2322 2017-07-26 08:30:28Z Giersch
[2322]	107	! Bugfix of error message and assign error numbers
	108	!
	109	! 2257 2017-06-07 14:07:05Z witha
[2257]	110	! Bugfix: turb_cl_tab and turb_cd_tab were set to zero before being allocated
[1844]	111	!
[2257]	112	! 2233 2017-05-30 18:08:54Z suehring
	113	!
[2233]	114	! 2232 2017-05-30 17:47:52Z suehring
	115	! Adjustments to new topography concept
	116	!
[2153]	117	! 2152 2017-02-17 13:27:24Z lvollmer
	118	! Bugfix in subroutine wtm_read_blade_tables
	119	! Addition of a tip loss model
	120	!
[2016]	121	! 2015 2016-09-28 08:45:18Z lvollmer
	122	! Bugfix of pitch control
	123	!
[2001]	124	! 2000 2016-08-20 18:09:15Z knoop
	125	! Forced header and separation lines into 80 columns
	126	!
[1930]	127	! 1929 2016-06-09 16:25:25Z suehring
	128	! Bugfix: added preprocessor directives for parallel and serial mode
	129	!
[1917]	130	! 1914 2016-05-26 14:44:07Z witha
[1821]	131	! Initial revision
	132	!
[1819]	133	!
	134	! Description:
	135	! ------------
	136	!> This module calculates the effect of wind turbines on the flow fields. The
	137	!> initial version contains only the advanced actuator disk with rotation method
	138	!> (ADM-R).
	139	!> The wind turbines include the tower effect, can be yawed and tilted.
	140	!> The wind turbine model includes controllers for rotational speed, pitch and
	141	!> yaw.
	142	!> Currently some specifications of the NREL 5 MW reference turbine
	143	!> are hardcoded whereas most input data comes from separate files (currently
	144	!> external, planned to be included as namelist which will be read in
	145	!> automatically).
	146	!>
[3065]	147	!> @todo Replace dz(1) appropriatly to account for grid stretching
[1819]	148	!> @todo Revise code according to PALM Coding Standard
	149	!> @todo Implement ADM and ALM turbine models
	150	!> @todo Generate header information
[1917]	151	!> @todo Implement further parameter checks and error messages
[1819]	152	!> @todo Revise and add code documentation
	153	!> @todo Output turbine parameters as timeseries
	154	!> @todo Include additional output variables
[1864]	155	!> @todo Revise smearing the forces for turbines in yaw
	156	!> @todo Revise nacelle and tower parameterization
	157	!> @todo Allow different turbine types in one simulation
[1819]	158	!
	159	!------------------------------------------------------------------------------!
	160	MODULE wind_turbine_model_mod
	161
	162	USE arrays_3d, &
[2553]	163	ONLY: tend, u, v, w, zu, zw
[1819]	164
[2553]	165	USE constants, &
	166	ONLY: pi
[1819]	167
	168	USE control_parameters, &
[2669]	169	ONLY: coupling_char, dt_3d, dz, message_string, simulated_time, &
[2894]	170	wind_turbine, initializing_actions
[1819]	171
	172	USE cpulog, &
	173	ONLY: cpu_log, log_point_s
	174
	175	USE grid_variables, &
	176	ONLY: ddx, dx, ddy, dy
	177
	178	USE indices, &
	179	ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nz, &
[2232]	180	nzb, nzt, wall_flags_0
[1819]	181
	182	USE kinds
	183
	184	USE pegrid
	185
	186
	187	IMPLICIT NONE
	188
[1864]	189	PRIVATE
[1819]	190
	191	!
	192	!-- Variables specified in the namelist wind_turbine_par
	193
[1864]	194	INTEGER(iwp) :: nairfoils = 8 !< number of airfoils of the used turbine model (for ADM-R and ALM)
[1839]	195	INTEGER(iwp) :: nturbines = 1 !< number of turbines
[1819]	196
[1839]	197	LOGICAL :: pitch_control = .FALSE. !< switch for use of pitch controller
	198	LOGICAL :: speed_control = .FALSE. !< switch for use of speed controller
	199	LOGICAL :: yaw_control = .FALSE. !< switch for use of yaw controller
[2152]	200	LOGICAL :: tl_cor = .FALSE. !< switch for use of tip loss correct.
[1819]	201
[1839]	202	REAL(wp) :: segment_length = 1.0_wp !< length of the segments, the rotor area is divided into
	203	!< (in tangential direction, as factor of MIN(dx,dy,dz))
	204	REAL(wp) :: segment_width = 0.5_wp !< width of the segments, the rotor area is divided into
	205	!< (in radial direction, as factor of MIN(dx,dy,dz))
	206	REAL(wp) :: time_turbine_on = 0.0_wp !< time at which turbines are started
	207	REAL(wp) :: tilt = 0.0_wp !< vertical tilt of the rotor [degree] ( positive = backwards )
[1819]	208
[1912]	209	REAL(wp), DIMENSION(1:100) :: dtow = 0.0_wp !< tower diameter [m]
[2553]	210	REAL(wp), DIMENSION(1:100) :: omega_rot = 0.9_wp !< inital or constant rotor speed [rad/s]
[1912]	211	REAL(wp), DIMENSION(1:100) :: phi_yaw = 0.0_wp !< yaw angle [degree] ( clockwise, 0 = facing west )
	212	REAL(wp), DIMENSION(1:100) :: pitch_add = 0.0_wp !< constant pitch angle
	213	REAL(wp), DIMENSION(1:100) :: rcx = 9999999.9_wp !< position of hub in x-direction
	214	REAL(wp), DIMENSION(1:100) :: rcy = 9999999.9_wp !< position of hub in y-direction
	215	REAL(wp), DIMENSION(1:100) :: rcz = 9999999.9_wp !< position of hub in z-direction
	216	REAL(wp), DIMENSION(1:100) :: rnac = 0.0_wp !< nacelle diameter [m]
	217	REAL(wp), DIMENSION(1:100) :: rr = 63.0_wp !< rotor radius [m]
	218	REAL(wp), DIMENSION(1:100) :: turb_cd_nacelle = 0.85_wp !< drag coefficient for nacelle
	219	REAL(wp), DIMENSION(1:100) :: turb_cd_tower = 1.2_wp !< drag coefficient for tower
[1839]	220
[1819]	221	!
	222	!-- Variables specified in the namelist for speed controller
	223	!-- Default values are from the NREL 5MW research turbine (Jonkman, 2008)
	224
[1912]	225	REAL(wp) :: rated_power = 5296610.0_wp !< rated turbine power [W]
[1839]	226	REAL(wp) :: gear_ratio = 97.0_wp !< Gear ratio from rotor to generator
[2341]	227	REAL(wp) :: inertia_rot = 34784179.0_wp !< Inertia of the rotor [kg*m2]
	228	REAL(wp) :: inertia_gen = 534.116_wp !< Inertia of the generator [kg*m2]
[1839]	229	REAL(wp) :: gen_eff = 0.944_wp !< Electric efficiency of the generator
	230	REAL(wp) :: gear_eff = 1.0_wp !< Loss between rotor and generator
	231	REAL(wp) :: air_dens = 1.225_wp !< Air density to convert to W [kg/m3]
	232	REAL(wp) :: rated_genspeed = 121.6805_wp !< Rated generator speed [rad/s]
[1912]	233	REAL(wp) :: max_torque_gen = 47402.91_wp !< Maximum of the generator torque [Nm]
[1839]	234	REAL(wp) :: slope2 = 2.332287_wp !< Slope constant for region 2
	235	REAL(wp) :: min_reg2 = 91.21091_wp !< Lower generator speed boundary of region 2 [rad/s]
	236	REAL(wp) :: min_reg15 = 70.16224_wp !< Lower generator speed boundary of region 1.5 [rad/s]
[1912]	237	REAL(wp) :: max_trq_rate = 15000.0_wp !< Max generator torque increase [Nm/s]
	238	REAL(wp) :: pitch_rate = 8.0_wp !< Max pitch rate [degree/s]
[1839]	239
[1912]	240
[1819]	241	!
	242	!-- Variables specified in the namelist for yaw control
	243
[1839]	244	REAL(wp) :: yaw_speed = 0.005236_wp !< speed of the yaw actuator [rad/s]
	245	REAL(wp) :: max_miss = 0.08726_wp !< maximum tolerated yaw missalignment [rad]
	246	REAL(wp) :: min_miss = 0.008726_wp !< minimum yaw missalignment for which the actuator stops [rad]
	247
[1819]	248	!
	249	!-- Set flag for output files TURBINE_PARAMETERS
	250	TYPE file_status
	251	LOGICAL :: opened, opened_before
	252	END TYPE file_status
	253
[1912]	254	TYPE(file_status), DIMENSION(500) :: openfile_turb_mod = &
	255	file_status(.FALSE.,.FALSE.)
[1819]	256
	257	!
	258	!-- Variables for initialization of the turbine model
	259
[1839]	260	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	261	INTEGER(iwp) :: nsegs_max !< maximum number of segments (all turbines, required for allocation of arrays)
	262	INTEGER(iwp) :: nrings_max !< maximum number of rings (all turbines, required for allocation of arrays)
	263	INTEGER(iwp) :: ring !< ring loop index (ring number)
	264	INTEGER(iwp) :: rr_int !<
	265	INTEGER(iwp) :: upper_end !<
[1819]	266
[1839]	267	INTEGER(iwp), DIMENSION(1) :: lct !<
[1819]	268
[1912]	269	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_hub !< index belonging to x-position of the turbine
	270	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_smear !< index defining the area for the smearing of the forces (x-direction)
	271	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_hub !< index belonging to y-position of the turbine
	272	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_smear !< index defining the area for the smearing of the forces (y-direction)
	273	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_hub !< index belonging to hub height
	274	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_smear !< index defining the area for the smearing of the forces (z-direction)
	275	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nrings !< number of rings per turbine
	276	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nsegs_total !< total number of segments per turbine
[1819]	277
[1912]	278	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nsegs !< number of segments per ring and turbine
[1819]	279
[1912]	280	!
	281	!- parameters for the smearing from the rotor to the cartesian grid
[1864]	282	REAL(wp) :: pol_a !< parameter for the polynomial smearing fct
	283	REAL(wp) :: pol_b !< parameter for the polynomial smearing fct
[1912]	284	REAL(wp) :: delta_t_factor !<
[1864]	285	REAL(wp) :: eps_factor !<
[1839]	286	REAL(wp) :: eps_min !<
	287	REAL(wp) :: eps_min2 !<
	288	REAL(wp) :: sqrt_arg !<
[1819]	289
[1839]	290	!
	291	!-- Variables for the calculation of lift and drag coefficients
[1912]	292	REAL(wp), DIMENSION(:), ALLOCATABLE :: ard !<
	293	REAL(wp), DIMENSION(:), ALLOCATABLE :: crd !<
	294	REAL(wp), DIMENSION(:), ALLOCATABLE :: delta_r !< radial segment length
	295	REAL(wp), DIMENSION(:), ALLOCATABLE :: lrd !<
[1864]	296
[1912]	297	REAL(wp) :: accu_cl_cd_tab = 0.1_wp !< Accuracy of the interpolation of
	298	!< the lift and drag coeff [deg]
[1819]	299
[1912]	300	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_tab !< table of the blade drag coefficient
	301	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_tab !< table of the blade lift coefficient
[1819]	302
[1912]	303	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: nac_cd_surf !< 3d field of the tower drag coefficient
	304	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: tow_cd_surf !< 3d field of the nacelle drag coefficient
[1819]	305
	306	!
	307	!-- Variables for the calculation of the forces
[1912]	308
[1839]	309	REAL(wp) :: cur_r !<
	310	REAL(wp) :: phi_rotor !<
	311	REAL(wp) :: pre_factor !<
	312	REAL(wp) :: torque_seg !<
	313	REAL(wp) :: u_int_l !<
	314	REAL(wp) :: u_int_u !<
	315	REAL(wp) :: u_rot !<
	316	REAL(wp) :: v_int_l !<
	317	REAL(wp) :: v_int_u !<
	318	REAL(wp) :: w_int_l !<
	319	REAL(wp) :: w_int_u !<
[1912]	320	!
	321	!- Tendencies from the nacelle and tower thrust
	322	REAL(wp) :: tend_nac_x = 0.0_wp !<
	323	REAL(wp) :: tend_tow_x = 0.0_wp !<
	324	REAL(wp) :: tend_nac_y = 0.0_wp !<
	325	REAL(wp) :: tend_tow_y = 0.0_wp !<
[1819]	326
[1912]	327	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack !<
	328	REAL(wp), DIMENSION(:), ALLOCATABLE :: chord !<
	329	REAL(wp), DIMENSION(:), ALLOCATABLE :: phi_rel !<
	330	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_total !<
	331	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_rotor !<
	332	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl !<
	333	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd !<
	334	REAL(wp), DIMENSION(:), ALLOCATABLE :: vrel !<
	335	REAL(wp), DIMENSION(:), ALLOCATABLE :: vtheta !<
	336
	337	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rbx, rby, rbz !< coordinates of the blade elements
	338	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rotx, roty, rotz !< normal vectors to the rotor coordinates
	339
	340	!
	341	!- Fields for the interpolation of velocities on the rotor grid
	342	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int !<
	343	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int_1_l !<
	344	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int !<
	345	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int_1_l !<
	346	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int !<
	347	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int_1_l !<
	348
	349	!
	350	!- rotor tendencies on the segments
	351	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_seg !<
	352	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_y !<
	353	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_z !<
	354
	355	!
	356	!- rotor tendencies on the rings
	357	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: thrust_ring !<
	358	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_y !<
	359	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_z !<
	360
	361	!
	362	!- rotor tendencies on rotor grids for all turbines
	363	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: thrust !<
	364	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_y !<
	365	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_z !<
	366
	367	!
	368	!- rotor tendencies on coordinate grid
	369	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_x !<
	370	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_y !<
	371	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_z !<
	372	!
	373	!- variables for the rotation of the rotor coordinates
	374	REAL(wp), DIMENSION(1:100,1:3,1:3) :: rot_coord_trans !< matrix for rotation of rotor coordinates
	375
[1839]	376	REAL(wp), DIMENSION(1:3) :: rot_eigen_rad !<
	377	REAL(wp), DIMENSION(1:3) :: rot_eigen_azi !<
	378	REAL(wp), DIMENSION(1:3) :: rot_eigen_nor !<
	379	REAL(wp), DIMENSION(1:3) :: re !<
	380	REAL(wp), DIMENSION(1:3) :: rea !<
	381	REAL(wp), DIMENSION(1:3) :: ren !<
	382	REAL(wp), DIMENSION(1:3) :: rote !<
	383	REAL(wp), DIMENSION(1:3) :: rota !<
	384	REAL(wp), DIMENSION(1:3) :: rotn !<
[1819]	385
[1839]	386	!
	387	!-- Fixed variables for the speed controller
[1819]	388
[1912]	389	LOGICAL :: start_up = .TRUE. !<
[1864]	390
[1912]	391	REAL(wp) :: Fcorner !< corner freq for the controller low pass filter
	392	REAL(wp) :: min_reg25 !< min region 2.5
	393	REAL(wp) :: om_rate !< rotor speed change
	394	REAL(wp) :: slope15 !< slope in region 1.5
	395	REAL(wp) :: slope25 !< slope in region 2.5
	396	REAL(wp) :: trq_rate !< torque change
	397	REAL(wp) :: vs_sysp !<
	398	REAL(wp) :: lp_coeff !< coeff for the controller low pass filter
[1819]	399
[1864]	400	REAL(wp), DIMENSION(100) :: omega_rot_l = 0.0_wp !< local rot speed [rad/s]
[2563]	401
[1839]	402	!
	403	!-- Fixed variables for the yaw controller
[1819]	404
[1912]	405	REAL(wp), DIMENSION(:) , ALLOCATABLE :: yawdir !< direction to yaw
	406	REAL(wp), DIMENSION(:) , ALLOCATABLE :: phi_yaw_l !< local (cpu) yaw angle
	407	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd30_l !< local (cpu) long running avg of the wd
	408	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd2_l !< local (cpu) short running avg of the wd
	409	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir !< wind direction at hub
	410	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow !< wind speed at hub
	411	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir_l !<
	412	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow_l !<
	413	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd30 !<
	414	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd2 !<
	415	LOGICAL, DIMENSION(1:100) :: doyaw = .FALSE. !<
	416	INTEGER(iwp) :: WDLON !<
	417	INTEGER(iwp) :: WDSHO !<
[1819]	418
[2563]	419	!
	420	!-- Variables that have to be saved in the binary file for restarts
	421	REAL(wp), DIMENSION(1:100) :: pitch_add_old = 0.0_wp !< old constant pitch angle
	422	REAL(wp), DIMENSION(1:100) :: omega_gen = 0.0_wp !< curr. generator speed
	423	REAL(wp), DIMENSION(1:100) :: omega_gen_f = 0.0_wp !< filtered generator speed
	424	REAL(wp), DIMENSION(1:100) :: omega_gen_old = 0.0_wp !< last generator speed
	425	REAL(wp), DIMENSION(1:100) :: omega_gen_f_old = 0.0_wp !< last filtered generator speed
	426	REAL(wp), DIMENSION(1:100) :: torque_gen = 0.0_wp !< generator torque
	427	REAL(wp), DIMENSION(1:100) :: torque_gen_old = 0.0_wp !< last generator torque
[1819]	428
[2563]	429
[1839]	430	SAVE
[1819]	431
[1839]	432
	433	INTERFACE wtm_parin
	434	MODULE PROCEDURE wtm_parin
	435	END INTERFACE wtm_parin
[2563]	436
[2894]	437	INTERFACE wtm_wrd_global
	438	MODULE PROCEDURE wtm_wrd_global
	439	END INTERFACE wtm_wrd_global
[2576]	440
[2894]	441	INTERFACE wtm_rrd_global
	442	MODULE PROCEDURE wtm_rrd_global
	443	END INTERFACE wtm_rrd_global
[1912]	444
	445	INTERFACE wtm_check_parameters
	446	MODULE PROCEDURE wtm_check_parameters
	447	END INTERFACE wtm_check_parameters
[1839]	448
	449	INTERFACE wtm_init_arrays
	450	MODULE PROCEDURE wtm_init_arrays
	451	END INTERFACE wtm_init_arrays
	452
	453	INTERFACE wtm_init
	454	MODULE PROCEDURE wtm_init
	455	END INTERFACE wtm_init
	456
[1912]	457	INTERFACE wtm_read_blade_tables
	458	MODULE PROCEDURE wtm_read_blade_tables
	459	END INTERFACE wtm_read_blade_tables
[1839]	460
[1819]	461	INTERFACE wtm_forces
	462	MODULE PROCEDURE wtm_forces
[2553]	463	END INTERFACE wtm_forces
	464
	465	INTERFACE wtm_yawcontrol
[1839]	466	MODULE PROCEDURE wtm_yawcontrol
[2553]	467	END INTERFACE wtm_yawcontrol
[1864]	468
	469	INTERFACE wtm_rotate_rotor
	470	MODULE PROCEDURE wtm_rotate_rotor
	471	END INTERFACE wtm_rotate_rotor
	472
	473	INTERFACE wtm_speed_control
	474	MODULE PROCEDURE wtm_init_speed_control
	475	MODULE PROCEDURE wtm_speed_control
	476	END INTERFACE wtm_speed_control
[1819]	477
	478	INTERFACE wtm_tendencies
	479	MODULE PROCEDURE wtm_tendencies
	480	MODULE PROCEDURE wtm_tendencies_ij
	481	END INTERFACE wtm_tendencies
[1864]	482
	483
[1912]	484	PUBLIC wtm_check_parameters, wtm_forces, wtm_init, wtm_init_arrays, &
[2894]	485	wtm_parin, wtm_wrd_global, wtm_rrd_global, wtm_tendencies
[1819]	486
[2563]	487
[1819]	488	CONTAINS
	489
	490
	491	!------------------------------------------------------------------------------!
	492	! Description:
	493	! ------------
[1839]	494	!> Parin for &wind_turbine_par for wind turbine model
[1819]	495	!------------------------------------------------------------------------------!
[1839]	496	SUBROUTINE wtm_parin
[1819]	497
	498
	499	IMPLICIT NONE
[1912]	500
	501	INTEGER(iwp) :: ierrn !<
[1819]	502
[1839]	503	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	504
	505	NAMELIST /wind_turbine_par/ air_dens, dtow, gear_eff, gear_ratio, &
[1864]	506	gen_eff, inertia_gen, inertia_rot, max_miss, &
[1839]	507	max_torque_gen, max_trq_rate, min_miss, &
[1864]	508	min_reg15, min_reg2, nairfoils, nturbines, &
[1912]	509	omega_rot, phi_yaw, pitch_add, pitch_control,&
[1839]	510	rated_genspeed, rated_power, rcx, rcy, rcz, &
	511	rnac, rr, segment_length, segment_width, &
[1864]	512	slope2, speed_control, tilt, time_turbine_on,&
[2349]	513	turb_cd_nacelle, turb_cd_tower, pitch_rate, &
[2152]	514	yaw_control, yaw_speed, tl_cor
[2932]	515
	516	NAMELIST /wind_turbine_parameters/ &
	517	air_dens, dtow, gear_eff, gear_ratio, &
	518	gen_eff, inertia_gen, inertia_rot, max_miss, &
	519	max_torque_gen, max_trq_rate, min_miss, &
	520	min_reg15, min_reg2, nairfoils, nturbines, &
	521	omega_rot, phi_yaw, pitch_add, pitch_control,&
	522	rated_genspeed, rated_power, rcx, rcy, rcz, &
	523	rnac, rr, segment_length, segment_width, &
	524	slope2, speed_control, tilt, time_turbine_on,&
	525	turb_cd_nacelle, turb_cd_tower, pitch_rate, &
	526	yaw_control, yaw_speed, tl_cor
[1819]	527	!
[1839]	528	!-- Try to find wind turbine model package
	529	REWIND ( 11 )
	530	line = ' '
[2932]	531	DO WHILE ( INDEX( line, '&wind_turbine_parameters' ) == 0 )
[1839]	532	READ ( 11, '(A)', END=10 ) line
	533	ENDDO
	534	BACKSPACE ( 11 )
	535
	536	!
	537	!-- Read user-defined namelist
[2932]	538	READ ( 11, wind_turbine_parameters, IOSTAT=ierrn )
	539
	540	IF ( ierrn < 0 ) THEN
	541	message_string = 'no wind_turbine_parameters-NAMELIST found: ' // &
	542	'End of file has reached'
	543	CALL message( 'wtm_parin', 'PA0460', 1, 2, 0, 6, 0 )
	544	ELSEIF ( ierrn > 0 ) THEN
	545	message_string = 'errors in wind_turbine_parameters-NAMELIST: ' // &
	546	'some variables for steering may not be properly set'
	547	CALL message( 'wtm_parin', 'PA0466', 1, 2, 0, 6, 0 )
	548	ENDIF
	549
	550	!
	551	!-- Set flag that indicates that the wind turbine model is switched on
	552	wind_turbine = .TRUE.
	553
	554	GOTO 12
	555
	556	!
	557	!-- Try to find wind turbine model package
	558	10 REWIND ( 11 )
	559	line = ' '
	560	DO WHILE ( INDEX( line, '&wind_turbine_par' ) == 0 )
	561	READ ( 11, '(A)', END=12 ) line
	562	ENDDO
	563	BACKSPACE ( 11 )
	564
	565	!
	566	!-- Read user-defined namelist
[1912]	567	READ ( 11, wind_turbine_par, IOSTAT=ierrn )
[2349]	568
[1912]	569	IF ( ierrn < 0 ) THEN
[2349]	570	message_string = 'no wind_turbine_par-NAMELIST found: ' // &
	571	'End of file has reached'
[2322]	572	CALL message( 'wtm_parin', 'PA0460', 1, 2, 0, 6, 0 )
[2349]	573	ELSEIF ( ierrn > 0 ) THEN
[2932]	574	message_string = 'errors in wind_turbine_par-NAMELIST: ' // &
[2349]	575	'some variables for steering may not be properly set'
	576	CALL message( 'wtm_parin', 'PA0466', 1, 2, 0, 6, 0 )
[1912]	577	ENDIF
[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
[2932]	588	12 CONTINUE ! TBD Change from continue, mit ierrn machen
[2563]	589
[1839]	590
	591	END SUBROUTINE wtm_parin
	592
[2563]	593
	594	!------------------------------------------------------------------------------!
	595	! Description:
	596	! ------------
[2894]	597	!> This routine writes the respective restart data.
[2576]	598	!------------------------------------------------------------------------------!
[2894]	599	SUBROUTINE wtm_wrd_global
[2576]	600
	601
[2563]	602	IMPLICIT NONE
[2776]	603
[2563]	604
[2894]	605	CALL wrd_write_string( 'omega_gen' )
[2563]	606	WRITE ( 14 ) omega_gen
[2894]	607
	608	CALL wrd_write_string( 'omega_gen_f' )
[2563]	609	WRITE ( 14 ) omega_gen_f
[2894]	610
	611	CALL wrd_write_string( 'omega_gen_f_old' )
[2563]	612	WRITE ( 14 ) omega_gen_f_old
[2894]	613
	614	CALL wrd_write_string( 'omega_gen_old' )
[2563]	615	WRITE ( 14 ) omega_gen_old
[2894]	616
	617	CALL wrd_write_string( 'omega_rot' )
[2563]	618	WRITE ( 14 ) omega_rot
[2894]	619
	620	CALL wrd_write_string( 'phi_yaw' )
	621	WRITE ( 14 ) phi_yaw
	622
	623	CALL wrd_write_string( 'pitch_add' )
[2563]	624	WRITE ( 14 ) pitch_add
[2894]	625
	626	CALL wrd_write_string( 'pitch_add_old' )
[2563]	627	WRITE ( 14 ) pitch_add_old
[2894]	628
	629	CALL wrd_write_string( 'torque_gen' )
[2563]	630	WRITE ( 14 ) torque_gen
[2894]	631
	632	CALL wrd_write_string( 'torque_gen_old' )
[2563]	633	WRITE ( 14 ) torque_gen_old
[2894]	634
[2563]	635
[2894]	636	END SUBROUTINE wtm_wrd_global
[2563]	637
	638
	639	!------------------------------------------------------------------------------!
	640	! Description:
	641	! ------------
	642	!> This routine reads the respective restart data.
	643	!------------------------------------------------------------------------------!
[2894]	644	SUBROUTINE wtm_rrd_global( found )
[2563]	645
	646
[2894]	647	USE control_parameters, &
	648	ONLY: length, restart_string
	649
	650
[2563]	651	IMPLICIT NONE
	652
[2894]	653	LOGICAL, INTENT(OUT) :: found
[2563]	654
	655
[2894]	656	found = .TRUE.
[2563]	657
	658
[2894]	659	SELECT CASE ( restart_string(1:length) )
[2563]	660
[2894]	661	CASE ( 'omega_gen' )
	662	READ ( 13 ) omega_gen
	663	CASE ( 'omega_gen_f' )
	664	READ ( 13 ) omega_gen_f
	665	CASE ( 'omega_gen_f_old' )
	666	READ ( 13 ) omega_gen_f_old
	667	CASE ( 'omega_gen_old' )
	668	READ ( 13 ) omega_gen_old
	669	CASE ( 'omega_rot' )
	670	READ ( 13 ) omega_rot
	671	CASE ( 'phi_yaw' )
	672	READ ( 13 ) phi_yaw
	673	CASE ( 'pitch_add' )
	674	READ ( 13 ) pitch_add
	675	CASE ( 'pitch_add_old' )
	676	READ ( 13 ) pitch_add_old
	677	CASE ( 'torque_gen' )
	678	READ ( 13 ) torque_gen
	679	CASE ( 'torque_gen_old' )
	680	READ ( 13 ) torque_gen_old
[2563]	681
[2894]	682	CASE DEFAULT
[2563]	683
[2894]	684	found = .FALSE.
[2563]	685
[2894]	686	END SELECT
	687
[2563]	688
[2894]	689	END SUBROUTINE wtm_rrd_global
	690
	691
[2563]	692	!------------------------------------------------------------------------------!
	693	! Description:
	694	! ------------
	695	!> Check namelist parameter
	696	!------------------------------------------------------------------------------!
[1912]	697	SUBROUTINE wtm_check_parameters
	698
	699
	700	IMPLICIT NONE
	701
	702	IF ( ( .NOT.speed_control ) .AND. pitch_control ) THEN
	703	message_string = 'pitch_control = .TRUE. requires '// &
	704	'speed_control = .TRUE.'
[2322]	705	CALL message( 'wtm_check_parameters', 'PA0461', 1, 2, 0, 6, 0 )
[1912]	706	ENDIF
	707
[2322]	708	IF ( ANY( omega_rot(1:nturbines) < 0.0 ) ) THEN
	709	message_string = 'omega_rot < 0.0, Please set omega_rot to ' // &
[2792]	710	'a value equal or larger than zero'
[2322]	711	CALL message( 'wtm_check_parameters', 'PA0462', 1, 2, 0, 6, 0 )
[1912]	712	ENDIF
	713
	714
	715	IF ( ANY( rcx(1:nturbines) == 9999999.9_wp ) .OR. &
	716	ANY( rcy(1:nturbines) == 9999999.9_wp ) .OR. &
	717	ANY( rcz(1:nturbines) == 9999999.9_wp ) ) THEN
	718
	719	message_string = 'rcx, rcy, rcz ' // &
	720	'have to be given for each turbine.'
[2322]	721	CALL message( 'wtm_check_parameters', 'PA0463', 1, 2, 0, 6, 0 )
[1912]	722
	723	ENDIF
	724
	725
	726	END SUBROUTINE wtm_check_parameters
	727
	728
[1839]	729	!------------------------------------------------------------------------------!
	730	! Description:
	731	! ------------
	732	!> Allocate wind turbine model arrays
	733	!------------------------------------------------------------------------------!
	734	SUBROUTINE wtm_init_arrays
	735
	736
	737	IMPLICIT NONE
	738
[1864]	739	REAL(wp) :: delta_r_factor !<
	740	REAL(wp) :: delta_r_init !<
	741
[1839]	742	!
	743	!-- To be able to allocate arrays with dimension of rotor rings and segments,
[1819]	744	!-- the maximum possible numbers of rings and segments have to be calculated:
	745
	746	ALLOCATE( nrings(1:nturbines) )
	747	ALLOCATE( delta_r(1:nturbines) )
	748
	749	nrings(:) = 0
	750	delta_r(:) = 0.0_wp
	751
	752	!
	753	!-- Thickness (radial) of each ring and length (tangential) of each segment:
	754	delta_r_factor = segment_width
	755	delta_t_factor = segment_length
[3065]	756	delta_r_init = delta_r_factor * MIN( dx, dy, dz(1))
[1819]	757
	758	DO inot = 1, nturbines
	759	!
	760	!-- Determine number of rings:
	761	nrings(inot) = NINT( rr(inot) / delta_r_init )
	762
	763	delta_r(inot) = rr(inot) / nrings(inot)
	764
	765	ENDDO
	766
	767	nrings_max = MAXVAL(nrings)
	768
	769	ALLOCATE( nsegs(1:nrings_max,1:nturbines) )
	770	ALLOCATE( nsegs_total(1:nturbines) )
	771
	772	nsegs(:,:) = 0
	773	nsegs_total(:) = 0
	774
	775
	776	DO inot = 1, nturbines
	777	DO ring = 1, nrings(inot)
	778	!
	779	!-- Determine number of segments for each ring:
[1839]	780	nsegs(ring,inot) = MAX( 8, CEILING( delta_r_factor * pi * &
	781	( 2.0_wp * ring - 1.0_wp ) / &
	782	delta_t_factor ) )
[1819]	783	ENDDO
	784	!
	785	!-- Total sum of all rotor segments:
[1839]	786	nsegs_total(inot) = SUM( nsegs(:,inot) )
[1819]	787
	788	ENDDO
	789
	790	!
	791	!-- Maximum number of segments per ring:
	792	nsegs_max = MAXVAL(nsegs)
	793
[1864]	794	!!
	795	!!-- TODO: Folgendes im Header ausgeben!
	796	! IF ( myid == 0 ) THEN
	797	! PRINT*, 'nrings(1) = ', nrings(1)
	798	! PRINT*, '--------------------------------------------------'
	799	! PRINT*, 'nsegs(:,1) = ', nsegs(:,1)
	800	! PRINT*, '--------------------------------------------------'
	801	! PRINT*, 'nrings_max = ', nrings_max
	802	! PRINT*, 'nsegs_max = ', nsegs_max
	803	! PRINT*, 'nsegs_total(1) = ', nsegs_total(1)
	804	! ENDIF
[1819]	805
	806
	807	!
	808	!-- Allocate 1D arrays (dimension = number of turbines)
	809	ALLOCATE( i_hub(1:nturbines) )
	810	ALLOCATE( i_smear(1:nturbines) )
	811	ALLOCATE( j_hub(1:nturbines) )
	812	ALLOCATE( j_smear(1:nturbines) )
	813	ALLOCATE( k_hub(1:nturbines) )
	814	ALLOCATE( k_smear(1:nturbines) )
	815	ALLOCATE( torque_total(1:nturbines) )
[1912]	816	ALLOCATE( thrust_rotor(1:nturbines) )
[1819]	817
	818	!
	819	!-- Allocation of the 1D arrays for yaw control
	820	ALLOCATE( yawdir(1:nturbines) )
	821	ALLOCATE( u_inflow(1:nturbines) )
	822	ALLOCATE( wdir(1:nturbines) )
	823	ALLOCATE( u_inflow_l(1:nturbines) )
	824	ALLOCATE( wdir_l(1:nturbines) )
	825	ALLOCATE( phi_yaw_l(1:nturbines) )
	826
	827	!
	828	!-- Allocate 1D arrays (dimension = number of rotor segments)
	829	ALLOCATE( alpha_attack(1:nsegs_max) )
	830	ALLOCATE( chord(1:nsegs_max) )
	831	ALLOCATE( phi_rel(1:nsegs_max) )
	832	ALLOCATE( thrust_seg(1:nsegs_max) )
	833	ALLOCATE( torque_seg_y(1:nsegs_max) )
	834	ALLOCATE( torque_seg_z(1:nsegs_max) )
[1839]	835	ALLOCATE( turb_cd(1:nsegs_max) )
	836	ALLOCATE( turb_cl(1:nsegs_max) )
[1819]	837	ALLOCATE( vrel(1:nsegs_max) )
	838	ALLOCATE( vtheta(1:nsegs_max) )
	839
	840	!
	841	!-- Allocate 2D arrays (dimension = number of rotor rings and segments)
	842	ALLOCATE( rbx(1:nrings_max,1:nsegs_max) )
	843	ALLOCATE( rby(1:nrings_max,1:nsegs_max) )
	844	ALLOCATE( rbz(1:nrings_max,1:nsegs_max) )
	845	ALLOCATE( thrust_ring(1:nrings_max,1:nsegs_max) )
	846	ALLOCATE( torque_ring_y(1:nrings_max,1:nsegs_max) )
	847	ALLOCATE( torque_ring_z(1:nrings_max,1:nsegs_max) )
	848
	849	!
	850	!-- Allocate additional 2D arrays
	851	ALLOCATE( rotx(1:nturbines,1:3) )
	852	ALLOCATE( roty(1:nturbines,1:3) )
	853	ALLOCATE( rotz(1:nturbines,1:3) )
	854
	855	!
	856	!-- Allocate 3D arrays (dimension = number of grid points)
[1912]	857	ALLOCATE( nac_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	858	ALLOCATE( rot_tend_x(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	859	ALLOCATE( rot_tend_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	860	ALLOCATE( rot_tend_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	861	ALLOCATE( thrust(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	862	ALLOCATE( torque_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	863	ALLOCATE( torque_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1912]	864	ALLOCATE( tow_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	865
	866	!
	867	!-- Allocate additional 3D arrays
	868	ALLOCATE( u_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	869	ALLOCATE( u_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	870	ALLOCATE( v_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	871	ALLOCATE( v_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	872	ALLOCATE( w_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	873	ALLOCATE( w_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	874
	875	!
	876	!-- All of the arrays are initialized with a value of zero:
	877	i_hub(:) = 0
	878	i_smear(:) = 0
	879	j_hub(:) = 0
	880	j_smear(:) = 0
	881	k_hub(:) = 0
	882	k_smear(:) = 0
[1912]	883
[1819]	884	torque_total(:) = 0.0_wp
[1912]	885	thrust_rotor(:) = 0.0_wp
[1819]	886
[2563]	887	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	888	omega_gen(:) = 0.0_wp
	889	omega_gen_old(:) = 0.0_wp
	890	omega_gen_f(:) = 0.0_wp
	891	omega_gen_f_old(:) = 0.0_wp
	892	pitch_add_old(:) = 0.0_wp
	893	torque_gen(:) = 0.0_wp
	894	torque_gen_old(:) = 0.0_wp
	895	ENDIF
	896
[1819]	897	yawdir(:) = 0.0_wp
[3069]	898	wdir_l(:) = 0.0_wp
[1819]	899	wdir(:) = 0.0_wp
	900	u_inflow(:) = 0.0_wp
[3069]	901	u_inflow_l(:) = 0.0_wp
	902	phi_yaw_l(:) = 0.0_wp
[1819]	903
	904	!
	905	!-- Allocate 1D arrays (dimension = number of rotor segments)
	906	alpha_attack(:) = 0.0_wp
	907	chord(:) = 0.0_wp
	908	phi_rel(:) = 0.0_wp
	909	thrust_seg(:) = 0.0_wp
	910	torque_seg_y(:) = 0.0_wp
	911	torque_seg_z(:) = 0.0_wp
[1864]	912	turb_cd(:) = 0.0_wp
	913	turb_cl(:) = 0.0_wp
[1819]	914	vrel(:) = 0.0_wp
	915	vtheta(:) = 0.0_wp
	916
	917	rbx(:,:) = 0.0_wp
	918	rby(:,:) = 0.0_wp
	919	rbz(:,:) = 0.0_wp
	920	thrust_ring(:,:) = 0.0_wp
	921	torque_ring_y(:,:) = 0.0_wp
	922	torque_ring_z(:,:) = 0.0_wp
	923
	924	rotx(:,:) = 0.0_wp
	925	roty(:,:) = 0.0_wp
	926	rotz(:,:) = 0.0_wp
	927
[1912]	928	nac_cd_surf(:,:,:) = 0.0_wp
	929	rot_tend_x(:,:,:) = 0.0_wp
	930	rot_tend_y(:,:,:) = 0.0_wp
	931	rot_tend_z(:,:,:) = 0.0_wp
[1819]	932	thrust(:,:,:) = 0.0_wp
	933	torque_y(:,:,:) = 0.0_wp
	934	torque_z(:,:,:) = 0.0_wp
[1912]	935	tow_cd_surf(:,:,:) = 0.0_wp
[1819]	936
	937	u_int(:,:,:) = 0.0_wp
	938	u_int_1_l(:,:,:) = 0.0_wp
	939	v_int(:,:,:) = 0.0_wp
	940	v_int_1_l(:,:,:) = 0.0_wp
	941	w_int(:,:,:) = 0.0_wp
	942	w_int_1_l(:,:,:) = 0.0_wp
	943
	944
[1839]	945	END SUBROUTINE wtm_init_arrays
[1819]	946
	947
	948	!------------------------------------------------------------------------------!
	949	! Description:
	950	! ------------
[1839]	951	!> Initialization of the wind turbine model
[1819]	952	!------------------------------------------------------------------------------!
[1839]	953	SUBROUTINE wtm_init
[1819]	954
[1839]	955
[3065]	956	USE control_parameters, &
	957	ONLY: dz_stretch_level_start
	958
[1819]	959	IMPLICIT NONE
	960
	961	INTEGER(iwp) :: i !< running index
	962	INTEGER(iwp) :: j !< running index
	963	INTEGER(iwp) :: k !< running index
[1864]	964
[1819]	965	!
[1864]	966	!-- Help variables for the smearing function
	967	REAL(wp) :: eps_kernel !<
	968
[1839]	969	!
[1864]	970	!-- Help variables for calculation of the tower drag
	971	INTEGER(iwp) :: tower_n !<
	972	INTEGER(iwp) :: tower_s !<
[1839]	973	!
[1864]	974	!-- Help variables for the calulaction of the nacelle drag
	975	INTEGER(iwp) :: i_ip !<
	976	INTEGER(iwp) :: i_ipg !<
	977
	978	REAL(wp) :: yvalue
	979	REAL(wp) :: dy_int !<
	980	REAL(wp) :: dz_int !<
	981
	982	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: circle_points !<
	983
	984	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacb !<
	985	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacl !<
	986	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacr !<
	987	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nact !<
	988
	989	ALLOCATE( index_nacb(1:nturbines) )
	990	ALLOCATE( index_nacl(1:nturbines) )
	991	ALLOCATE( index_nacr(1:nturbines) )
	992	ALLOCATE( index_nact(1:nturbines) )
[1819]	993
[1839]	994	!
[1819]	995	!------------------------------------------------------------------------------!
[1839]	996	!-- Calculation of parameters for the regularization kernel
	997	!-- (smearing of the forces)
[1819]	998	!------------------------------------------------------------------------------!
	999	!
[1839]	1000	!-- In the following, some of the required parameters for the smearing will
	1001	!-- be calculated:
[1819]	1002
[1839]	1003	!-- The kernel is set equal to twice the grid spacing which has turned out to
	1004	!-- be a reasonable value (see e.g. Troldborg et al. (2013), Wind Energy,
[1819]	1005	!-- DOI: 10.1002/we.1608):
	1006	eps_kernel = 2.0_wp * dx
	1007	!
[1839]	1008	!-- The zero point (eps_min) of the polynomial function must be the following
	1009	!-- if the integral of the polynomial function (for values < eps_min) shall
	1010	!-- be equal to the integral of the Gaussian function used before:
	1011	eps_min = ( 105.0_wp / 32.0_wp )*( 1.0_wp / 3.0_wp ) &
	1012	pi*( 1.0_wp / 6.0_wp ) eps_kernel
[1819]	1013	!
[3065]	1014	!-- Stretching (non-uniform grid spacing) is not considered in the wind
	1015	!-- turbine model. Therefore, vertical stretching has to be applied above
	1016	!-- the area where the wtm is active. ABS (...) is required because the
	1017	!-- default value of dz_stretch_level_start is -9999999.9_wp (negative).
	1018	IF ( ABS( dz_stretch_level_start(1) ) <= MAXVAL(rcz) + MAXVAL(rr) + &
	1019	eps_min) THEN
	1020	WRITE( message_string, * ) 'The lowest level where vertical ', &
	1021	'stretching is applied &have to be ', &
	1022	'greater than ', MAXVAL(rcz) + &
	1023	MAXVAL(rr) + eps_min
[3066]	1024	CALL message( 'wtm_init', 'PA0484', 1, 2, 0, 6, 0 )
[3065]	1025	ENDIF
	1026	!
[1819]	1027	!-- Square of eps_min:
	1028	eps_min2 = eps_min**2
	1029	!
	1030	!-- Parameters in the polynomial function:
[1864]	1031	pol_a = 1.0_wp / eps_min**4
	1032	pol_b = 2.0_wp / eps_min**2
[1819]	1033	!
[1839]	1034	!-- Normalization factor which is the inverse of the integral of the smearing
	1035	!-- function:
	1036	eps_factor = 105.0_wp / ( 32.0_wp * pi * eps_min**3 )
	1037
[1864]	1038	!-- Change tilt angle to rad:
	1039	tilt = tilt * pi / 180.0_wp
	1040
[1819]	1041	!
[1864]	1042	!-- Change yaw angle to rad:
[2563]	1043	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	1044	phi_yaw(:) = phi_yaw(:) * pi / 180.0_wp
	1045	ENDIF
[1819]	1046
[1864]	1047
[1819]	1048	DO inot = 1, nturbines
	1049	!
[1864]	1050	!-- Rotate the rotor coordinates in case yaw and tilt are defined
	1051	CALL wtm_rotate_rotor( inot )
[1819]	1052
	1053	!
	1054	!-- Determine the indices of the hub height
	1055	i_hub(inot) = INT( rcx(inot) / dx )
	1056	j_hub(inot) = INT( ( rcy(inot) + 0.5_wp * dy ) / dy )
[3065]	1057	k_hub(inot) = INT( ( rcz(inot) + 0.5_wp * dz(1) ) / dz(1) )
[1819]	1058
	1059	!
	1060	!-- Determining the area to which the smearing of the forces is applied.
[1839]	1061	!-- As smearing now is effectively applied only for distances smaller than
	1062	!-- eps_min, the smearing area can be further limited and regarded as a
	1063	!-- function of eps_min:
[1819]	1064	i_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dx )
	1065	j_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dy )
[3065]	1066	k_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dz(1) )
[1864]	1067
[1819]	1068	ENDDO
	1069
	1070	!
[2792]	1071	!-- Call the wtm_init_speed_control subroutine and calculate the local
	1072	!-- omega_rot for the respective processor.
	1073	IF ( speed_control) THEN
	1074
	1075	CALL wtm_speed_control
	1076
	1077	IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN
	1078
	1079	DO inot = 1, nturbines
	1080
	1081	IF ( nxl > i_hub(inot) ) THEN
	1082	torque_gen(inot) = 0.0_wp
	1083	omega_gen_f(inot) = 0.0_wp
	1084	omega_rot_l(inot) = 0.0_wp
	1085	ENDIF
	1086
	1087	IF ( nxr < i_hub(inot) ) THEN
	1088	torque_gen(inot) = 0.0_wp
	1089	omega_gen_f(inot) = 0.0_wp
	1090	omega_rot_l(inot) = 0.0_wp
	1091	ENDIF
	1092
	1093	IF ( nys > j_hub(inot) ) THEN
	1094	torque_gen(inot) = 0.0_wp
	1095	omega_gen_f(inot) = 0.0_wp
	1096	omega_rot_l(inot) = 0.0_wp
	1097	ENDIF
	1098
	1099	IF ( nyn < j_hub(inot) ) THEN
	1100	torque_gen(inot) = 0.0_wp
	1101	omega_gen_f(inot) = 0.0_wp
	1102	omega_rot_l(inot) = 0.0_wp
	1103	ENDIF
	1104
	1105	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) THEN
	1106	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) ) THEN
	1107
	1108	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
	1109
	1110	ENDIF
	1111	ENDIF
	1112
	1113	END DO
	1114
	1115	ENDIF
	1116
	1117	ENDIF
	1118
	1119	!
[1819]	1120	!------------------------------------------------------------------------------!
[1839]	1121	!-- Determine the area within each grid cell that overlaps with the area
	1122	!-- of the nacelle and the tower (needed for calculation of the forces)
[1819]	1123	!------------------------------------------------------------------------------!
	1124	!
	1125	!-- Note: so far this is only a 2D version, in that the mean flow is
	1126	!-- perpendicular to the rotor area.
	1127
	1128	!
	1129	!-- Allocation of the array containing information on the intersection points
	1130	!-- between rotor disk and the numerical grid:
	1131	upper_end = ( ny + 1 ) * 10000
	1132
	1133	ALLOCATE( circle_points(1:2,1:upper_end) )
[1839]	1134
	1135	circle_points(:,:) = 0.0_wp
[1819]	1136
[1839]	1137
	1138	DO inot = 1, nturbines ! loop over number of turbines
[1819]	1139	!
[1839]	1140	!-- Determine the grid index (u-grid) that corresponds to the location of
	1141	!-- the rotor center (reduces the amount of calculations in the case that
	1142	!-- the mean flow is perpendicular to the rotor area):
[1819]	1143	i = i_hub(inot)
	1144
	1145	!
[1839]	1146	!-- Determine the left and the right edge of the nacelle (corresponding
	1147	!-- grid point indices):
[1819]	1148	index_nacl(inot) = INT( ( rcy(inot) - rnac(inot) + 0.5_wp * dy ) / dy )
	1149	index_nacr(inot) = INT( ( rcy(inot) + rnac(inot) + 0.5_wp * dy ) / dy )
	1150	!
[1839]	1151	!-- Determine the bottom and the top edge of the nacelle (corresponding
	1152	!-- grid point indices).The grid point index has to be increased by 1, as
	1153	!-- the first level for the u-component (index 0) is situated below the
	1154	!-- surface. All points between z=0 and z=dz/s would already be contained
	1155	!-- in grid box 1.
[3065]	1156	index_nacb(inot) = INT( ( rcz(inot) - rnac(inot) ) / dz(1) ) + 1
	1157	index_nact(inot) = INT( ( rcz(inot) + rnac(inot) ) / dz(1) ) + 1
[1819]	1158
	1159	!
	1160	!-- Determine the indices of the grid boxes containing the left and
[1864]	1161	!-- the right boundaries of the tower:
[1819]	1162	tower_n = ( rcy(inot) + 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	1163	tower_s = ( rcy(inot) - 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	1164
	1165	!
	1166	!-- Determine the fraction of the grid box area overlapping with the tower
[1864]	1167	!-- area and multiply it with the drag of the tower:
[1839]	1168	IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1819]	1169
	1170	DO j = nys, nyn
	1171	!
[1839]	1172	!-- Loop from south to north boundary of tower
	1173	IF ( ( j >= tower_s ) .AND. ( j <= tower_n ) ) THEN
	1174
[1819]	1175	DO k = nzb, nzt
	1176
	1177	IF ( k == k_hub(inot) ) THEN
	1178	IF ( tower_n - tower_s >= 1 ) THEN
[1839]	1179	!
[1819]	1180	!-- leftmost and rightmost grid box:
	1181	IF ( j == tower_s ) THEN
[1912]	1182	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1183	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*& ! extension in z-direction
[1912]	1184	( ( tower_s + 1.0_wp + 0.5_wp ) * dy - &
	1185	( rcy(inot) - 0.5_wp * dtow(inot) ) ) * & ! extension in y-direction
	1186	turb_cd_tower(inot)
[1819]	1187	ELSEIF ( j == tower_n ) THEN
[1912]	1188	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1189	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*& ! extension in z-direction
[1912]	1190	( ( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	1191	( tower_n + 0.5_wp ) * dy ) * & ! extension in y-direction
	1192	turb_cd_tower(inot)
[1819]	1193	!
	1194	!-- grid boxes inbetween
[1912]	1195	!-- (where tow_cd_surf = grid box area):
[1819]	1196	ELSE
[1912]	1197	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[3065]	1198	( k_hub(inot) * dz(1) - 0.5_wp * dz(1) ) )*&
[1912]	1199	dy * turb_cd_tower(inot)
[1819]	1200	ENDIF
	1201	!
	1202	!-- tower lies completely within one grid box:
	1203	ELSE
[3065]	1204	tow_cd_surf(k,j,i) = ( rcz(inot) - ( k_hub(inot) * &
	1205	dz(1) - 0.5_wp * dz(1) ) ) * &
[1912]	1206	dtow(inot) * turb_cd_tower(inot)
[1819]	1207	ENDIF
[1839]	1208	!
	1209	!-- In case that k is smaller than k_hub the following actions
	1210	!-- are carried out:
[1819]	1211	ELSEIF ( k < k_hub(inot) ) THEN
	1212
[1839]	1213	IF ( ( tower_n - tower_s ) >= 1 ) THEN
	1214	!
[1819]	1215	!-- leftmost and rightmost grid box:
	1216	IF ( j == tower_s ) THEN
[3065]	1217	tow_cd_surf(k,j,i) = dz(1) * ( &
[1839]	1218	( tower_s + 1 + 0.5_wp ) * dy - &
	1219	( rcy(inot) - 0.5_wp * dtow(inot) ) &
[1912]	1220	) * turb_cd_tower(inot)
[1819]	1221	ELSEIF ( j == tower_n ) THEN
[3065]	1222	tow_cd_surf(k,j,i) = dz(1) * ( &
[1839]	1223	( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	1224	( tower_n + 0.5_wp ) * dy &
[1912]	1225	) * turb_cd_tower(inot)
[1839]	1226	!
	1227	!-- grid boxes inbetween
[1912]	1228	!-- (where tow_cd_surf = grid box area):
[1819]	1229	ELSE
[3065]	1230	tow_cd_surf(k,j,i) = dz(1) * dy * &
	1231	turb_cd_tower(inot)
[1819]	1232	ENDIF
[1839]	1233	!
[1819]	1234	!-- tower lies completely within one grid box:
	1235	ELSE
[3065]	1236	tow_cd_surf(k,j,i) = dz(1) * dtow(inot) * &
[1912]	1237	turb_cd_tower(inot)
[1839]	1238	ENDIF ! end if larger than grid box
	1239
	1240	ENDIF ! end if k == k_hub
	1241
	1242	ENDDO ! end loop over k
	1243
	1244	ENDIF ! end if inside north and south boundary of tower
	1245
	1246	ENDDO ! end loop over j
	1247
	1248	ENDIF ! end if hub inside domain + ghostpoints
[1819]	1249
[1839]	1250
[1912]	1251	CALL exchange_horiz( tow_cd_surf, nbgp )
[1819]	1252
[1839]	1253	!
[1864]	1254	!-- Calculation of the nacelle area
	1255	!-- CAUTION: Currently disabled due to segmentation faults on the FLOW HPC
	1256	!-- cluster (Oldenburg)
	1257	!!
	1258	!!-- Tabulate the points on the circle that are required in the following for
	1259	!!-- the calculation of the Riemann integral (node points; they are called
	1260	!!-- circle_points in the following):
	1261	!
	1262	! dy_int = dy / 10000.0_wp
	1263	!
	1264	! DO i_ip = 1, upper_end
	1265	! yvalue = dy_int * ( i_ip - 0.5_wp ) + 0.5_wp * dy !<--- segmentation fault
	1266	! sqrt_arg = rnac(inot)2 - ( yvalue - rcy(inot) )2 !<--- segmentation fault
	1267	! IF ( sqrt_arg >= 0.0_wp ) THEN
	1268	!!
	1269	!!-- bottom intersection point
	1270	! circle_points(1,i_ip) = rcz(inot) - SQRT( sqrt_arg )
	1271	!!
	1272	!!-- top intersection point
	1273	! circle_points(2,i_ip) = rcz(inot) + SQRT( sqrt_arg ) !<--- segmentation fault
	1274	! ELSE
	1275	! circle_points(:,i_ip) = -111111 !<--- segmentation fault
	1276	! ENDIF
	1277	! ENDDO
	1278	!
	1279	!
	1280	! DO j = nys, nyn
	1281	!!
	1282	!!-- In case that the grid box is located completely outside the nacelle
	1283	!!-- (y) it can automatically be stated that there is no overlap between
	1284	!!-- the grid box and the nacelle and consequently we can set
[1912]	1285	!!-- nac_cd_surf(:,j,i) = 0.0:
[1864]	1286	! IF ( ( j >= index_nacl(inot) ) .AND. ( j <= index_nacr(inot) ) ) THEN
	1287	! DO k = nzb+1, nzt
	1288	!!
	1289	!!-- In case that the grid box is located completely outside the
	1290	!!-- nacelle (z) it can automatically be stated that there is no
	1291	!!-- overlap between the grid box and the nacelle and consequently
[1912]	1292	!!-- we can set nac_cd_surf(k,j,i) = 0.0:
[1864]	1293	! IF ( ( k >= index_nacb(inot) ) .OR. &
	1294	! ( k <= index_nact(inot) ) ) THEN
	1295	!!
	1296	!!-- For all other cases Riemann integrals are calculated.
	1297	!!-- Here, the points on the circle that have been determined
	1298	!!-- above are used in order to calculate the overlap between the
	1299	!!-- gridbox and the nacelle area (area approached by 10000
	1300	!!-- rectangulars dz_int * dy_int):
	1301	! DO i_ipg = 1, 10000
	1302	! dz_int = dz
	1303	! i_ip = j * 10000 + i_ipg
	1304	!!
	1305	!!-- Determine the vertical extension dz_int of the circle
	1306	!!-- within the current grid box:
	1307	! IF ( ( circle_points(2,i_ip) < zw(k) ) .AND. & !<--- segmentation fault
	1308	! ( circle_points(2,i_ip) >= zw(k-1) ) ) THEN
	1309	! dz_int = dz_int - & !<--- segmentation fault
	1310	! ( zw(k) - circle_points(2,i_ip) )
	1311	! ENDIF
	1312	! IF ( ( circle_points(1,i_ip) <= zw(k) ) .AND. & !<--- segmentation fault
	1313	! ( circle_points(1,i_ip) > zw(k-1) ) ) THEN
	1314	! dz_int = dz_int - &
	1315	! ( circle_points(1,i_ip) - zw(k-1) )
	1316	! ENDIF
	1317	! IF ( zw(k-1) > circle_points(2,i_ip) ) THEN
	1318	! dz_int = 0.0_wp
	1319	! ENDIF
	1320	! IF ( zw(k) < circle_points(1,i_ip) ) THEN
	1321	! dz_int = 0.0_wp
	1322	! ENDIF
	1323	! IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1912]	1324	! nac_cd_surf(k,j,i) = nac_cd_surf(k,j,i) + & !<--- segmentation fault
	1325	! dy_int * dz_int * turb_cd_nacelle(inot)
[1864]	1326	! ENDIF
	1327	! ENDDO
	1328	! ENDIF
	1329	! ENDDO
	1330	! ENDIF
[1819]	1331	!
[1864]	1332	! ENDDO
[1819]	1333	!
[1912]	1334	! CALL exchange_horiz( nac_cd_surf, nbgp ) !<--- segmentation fault
[1819]	1335
[1864]	1336	ENDDO ! end of loop over turbines
[1819]	1337
[3065]	1338	tow_cd_surf = tow_cd_surf / ( dx * dy * dz(1) ) ! Normalize tower drag
	1339	nac_cd_surf = nac_cd_surf / ( dx * dy * dz(1) ) ! Normalize nacelle drag
[1819]	1340
[1912]	1341	CALL wtm_read_blade_tables
[1839]	1342
[1864]	1343	END SUBROUTINE wtm_init
	1344
	1345
[1819]	1346	!------------------------------------------------------------------------------!
[1864]	1347	! Description:
	1348	! ------------
	1349	!> Read in layout of the rotor blade , the lift and drag tables
	1350	!> and the distribution of lift and drag tables along the blade
[1819]	1351	!------------------------------------------------------------------------------!
[1912]	1352	!
	1353	SUBROUTINE wtm_read_blade_tables
[1819]	1354
[1839]	1355
[1864]	1356	IMPLICIT NONE
	1357
	1358	INTEGER(iwp) :: ii !< running index
	1359	INTEGER(iwp) :: jj !< running index
[1843]	1360
[1864]	1361	INTEGER(iwp) :: ierrn !<
	1362
	1363	CHARACTER(200) :: chmess !< Read in string
[1839]	1364
[1864]	1365	INTEGER(iwp) :: dlen !< no. rows of local table
	1366	INTEGER(iwp) :: dlenbl !< no. rows of cd, cl table
	1367	INTEGER(iwp) :: ialpha !< table position of current alpha value
	1368	INTEGER(iwp) :: iialpha !<
	1369	INTEGER(iwp) :: iir !<
	1370	INTEGER(iwp) :: radres !< radial resolution
	1371	INTEGER(iwp) :: t1 !< no. of airfoil
	1372	INTEGER(iwp) :: t2 !< no. of airfoil
	1373	INTEGER(iwp) :: trow !<
	1374	INTEGER(iwp) :: dlenbl_int !< no. rows of interpolated cd, cl tables
[1839]	1375
[1864]	1376	REAL(wp) :: alpha_attack_i !<
	1377	REAL(wp) :: weight_a !<
	1378	REAL(wp) :: weight_b !<
[1839]	1379
[1864]	1380	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint1 !<
	1381	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint2 !<
[1839]	1382
[1864]	1383	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel1 !<
	1384	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel2 !<
	1385	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel1 !<
	1386	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel2 !<
	1387	REAL(wp), DIMENSION(:), ALLOCATABLE :: read_cl_cd !< read in var array
[1839]	1388
[1864]	1389	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack_tab !<
	1390	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad1 !<
	1391	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad2 !<
	1392	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_table !<
	1393	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_table !<
[1839]	1394
[1864]	1395	ALLOCATE ( read_cl_cd(1:2*nairfoils+1) )
[1839]	1396
[1864]	1397	!
	1398	!-- Read in the distribution of lift and drag tables along the blade, the
	1399	!-- layout of the rotor blade and the lift and drag tables:
	1400
[2323]	1401	OPEN ( 90, FILE='WTM_DATA', STATUS='OLD', FORM='FORMATTED', IOSTAT=ierrn )
[1864]	1402
	1403	IF ( ierrn /= 0 ) THEN
	1404	message_string = 'file WTM_DATA does not exist'
[2322]	1405	CALL message( 'wtm_init', 'PA0464', 1, 2, 0, 6, 0 )
[1864]	1406	ENDIF
	1407	!
	1408	!-- Read distribution table:
	1409
	1410	dlen = 0
	1411
[2323]	1412	READ ( 90, '(3/)' )
[1864]	1413
	1414	rloop3: DO
[2323]	1415	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1416	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop3
	1417	dlen = dlen + 1
	1418	ENDDO rloop3
	1419
	1420	ALLOCATE( trad1(1:dlen), trad2(1:dlen), ttoint1(1:dlen), ttoint2(1:dlen))
	1421
	1422	DO jj = 1,dlen+1
[2323]	1423	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1424	ENDDO
	1425
	1426	DO jj = 1,dlen
[2323]	1427	READ ( 90, * ) trad1(jj), trad2(jj), ttoint1(jj), ttoint2(jj)
[1864]	1428	ENDDO
	1429
	1430	!
	1431	!-- Read layout table:
	1432
[1839]	1433	dlen = 0
[1864]	1434
[2323]	1435	READ ( 90, '(3/)')
[1864]	1436
[1843]	1437	rloop1: DO
[2323]	1438	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1439	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop1
	1440	dlen = dlen + 1
[1843]	1441	ENDDO rloop1
[1864]	1442
[1839]	1443	ALLOCATE( lrd(1:dlen), ard(1:dlen), crd(1:dlen) )
[1864]	1444	DO jj = 1, dlen+1
[2323]	1445	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1446	ENDDO
	1447	DO jj = 1, dlen
[2323]	1448	READ ( 90, * ) lrd(jj), ard(jj), crd(jj)
[1839]	1449	ENDDO
[1819]	1450
[1864]	1451	!
	1452	!-- Read tables (turb_cl(alpha),turb_cd(alpha) for the different profiles:
[1819]	1453
[1864]	1454	dlen = 0
	1455
[2323]	1456	READ ( 90, '(3/)' )
[1864]	1457
[1843]	1458	rloop2: DO
[2323]	1459	READ ( 90, *, IOSTAT=ierrn ) chmess
[1864]	1460	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop2
	1461	dlen = dlen + 1
	1462	ENDDO rloop2
	1463
[1912]	1464	ALLOCATE( alpha_attack_tab(1:dlen), turb_cl_table(1:dlen,1:nairfoils), &
[1864]	1465	turb_cd_table(1:dlen,1:nairfoils) )
	1466
	1467	DO jj = 1,dlen+1
[2323]	1468	BACKSPACE ( 90, IOSTAT=ierrn )
[1864]	1469	ENDDO
	1470
[1839]	1471	DO jj = 1,dlen
[2323]	1472	READ ( 90, * ) read_cl_cd
[1864]	1473	alpha_attack_tab(jj) = read_cl_cd(1)
	1474	DO ii= 1, nairfoils
	1475	turb_cl_table(jj,ii) = read_cl_cd(ii*2)
	1476	turb_cd_table(jj,ii) = read_cl_cd(ii*2+1)
[1819]	1477	ENDDO
[1864]	1478
[1839]	1479	ENDDO
[1864]	1480
	1481	dlenbl = dlen
	1482
[2323]	1483	CLOSE ( 90 )
[1819]	1484
[1864]	1485	!
[2836]	1486	!-- For each possible radial position (resolution: 0.1 m --> 631 values if rr(1)=63m)
	1487	!-- and each possible angle of attack (resolution: 0.1 degrees --> 3601 values!)
[1864]	1488	!-- determine the lift and drag coefficient by interpolating between the
	1489	!-- tabulated values of each table (interpolate to current angle of attack)
	1490	!-- and between the tables (interpolate to current radial position):
[1839]	1491
[2836]	1492	ALLOCATE( turb_cl_sel1(1:dlenbl) )
	1493	ALLOCATE( turb_cl_sel2(1:dlenbl) )
	1494	ALLOCATE( turb_cd_sel1(1:dlenbl) )
	1495	ALLOCATE( turb_cd_sel2(1:dlenbl) )
[1819]	1496
[1864]	1497	radres = INT( rr(1) * 10.0_wp ) + 1_iwp
	1498	dlenbl_int = INT( 360.0_wp / accu_cl_cd_tab ) + 1_iwp
[1839]	1499
[2836]	1500	ALLOCATE( turb_cl_tab(1:dlenbl_int,1:radres) )
	1501	ALLOCATE( turb_cd_tab(1:dlenbl_int,1:radres) )
[1864]	1502
[2836]	1503	DO iir = 1, radres ! loop over radius
[1864]	1504
[2836]	1505	cur_r = ( iir - 1_iwp ) * 0.1_wp
	1506	!
	1507	!-- Find position in table 1
	1508	lct = MINLOC( ABS( trad1 - cur_r ) )
	1509	! lct(1) = lct(1)
[1864]	1510
[2836]	1511	IF ( ( trad1(lct(1)) - cur_r ) .GT. 0.0 ) THEN
	1512	lct(1) = lct(1) - 1
	1513	ENDIF
[1864]	1514
[2836]	1515	trow = lct(1)
	1516	!
	1517	!-- Calculate weights for radius interpolation
	1518	weight_a = ( trad2(trow) - cur_r ) / ( trad2(trow) - trad1(trow) )
	1519	weight_b = ( cur_r - trad1(trow) ) / ( trad2(trow) - trad1(trow) )
	1520	t1 = ttoint1(trow)
	1521	t2 = ttoint2(trow)
[1864]	1522
[2836]	1523	IF ( t1 .EQ. t2 ) THEN ! if both are the same, the weights are NaN
	1524	weight_a = 0.5_wp ! then do interpolate in between same twice
	1525	weight_b = 0.5_wp ! using 0.5 as weight
	1526	ENDIF
	1527
	1528	IF ( t1 == 0 .AND. t2 == 0 ) THEN
	1529	turb_cd_sel1 = 0.0_wp
	1530	turb_cd_sel2 = 0.0_wp
	1531	turb_cl_sel1 = 0.0_wp
	1532	turb_cl_sel2 = 0.0_wp
	1533
	1534	turb_cd_tab(1,iir) = 0.0_wp ! For -180Â° (iialpha=1) the values
	1535	turb_cl_tab(1,iir) = 0.0_wp ! for each radius has to be set
	1536	! explicitly
	1537	ELSE
	1538	turb_cd_sel1 = turb_cd_table(:,t1)
	1539	turb_cd_sel2 = turb_cd_table(:,t2)
	1540	turb_cl_sel1 = turb_cl_table(:,t1)
	1541	turb_cl_sel2 = turb_cl_table(:,t2)
	1542	!
	1543	!-- For -180Â° (iialpha=1) the values for each radius has to be set
	1544	!-- explicitly
	1545	turb_cd_tab(1,iir) = ( weight_a * turb_cd_table(1,t1) + weight_b &
	1546	* turb_cd_table(1,t2) )
	1547	turb_cl_tab(1,iir) = ( weight_a * turb_cl_table(1,t1) + weight_b &
	1548	* turb_cl_table(1,t2) )
	1549	ENDIF
	1550
	1551	DO iialpha = 2, dlenbl_int ! loop over angles
	1552
[1864]	1553	alpha_attack_i = -180.0_wp + REAL( iialpha-1 ) * accu_cl_cd_tab
	1554	ialpha = 1
[2836]	1555
[2152]	1556	DO WHILE ( ( alpha_attack_i > alpha_attack_tab(ialpha) ) .AND. (ialpha <= dlen ) )
[1864]	1557	ialpha = ialpha + 1
	1558	ENDDO
[1819]	1559
[1864]	1560	!
[1912]	1561	!-- Interpolation of lift and drag coefficiencts on fine grid of radius
	1562	!-- segments and angles of attack
	1563	turb_cl_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1564	alpha_attack_i ) / &
[1864]	1565	( alpha_attack_tab(ialpha) - &
	1566	alpha_attack_tab(ialpha-1) ) * &
	1567	( weight_a * turb_cl_sel1(ialpha-1) + &
	1568	weight_b * turb_cl_sel2(ialpha-1) ) +&
	1569	( alpha_attack_i - &
	1570	alpha_attack_tab(ialpha-1) ) / &
	1571	( alpha_attack_tab(ialpha) - &
	1572	alpha_attack_tab(ialpha-1) ) * &
	1573	( weight_a * turb_cl_sel1(ialpha) + &
	1574	weight_b * turb_cl_sel2(ialpha) )
[1912]	1575	turb_cd_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1576	alpha_attack_i ) / &
[1864]	1577	( alpha_attack_tab(ialpha) - &
	1578	alpha_attack_tab(ialpha-1) ) * &
	1579	( weight_a * turb_cd_sel1(ialpha-1) + &
	1580	weight_b * turb_cd_sel2(ialpha-1) ) +&
	1581	( alpha_attack_i - &
	1582	alpha_attack_tab(ialpha-1) ) / &
	1583	( alpha_attack_tab(ialpha) - &
	1584	alpha_attack_tab(ialpha-1) ) * &
	1585	( weight_a * turb_cd_sel1(ialpha) + &
	1586	weight_b * turb_cd_sel2(ialpha) )
[2836]	1587
[1912]	1588	ENDDO ! end loop over angles of attack
[2836]	1589
	1590	ENDDO ! end loop over radius
[1819]	1591
[2836]	1592
[1912]	1593	END SUBROUTINE wtm_read_blade_tables
[1819]	1594
	1595
[1864]	1596	!------------------------------------------------------------------------------!
	1597	! Description:
	1598	! ------------
	1599	!> The projection matrix for the coordinate system of therotor disc in respect
	1600	!> to the yaw and tilt angle of the rotor is calculated
	1601	!------------------------------------------------------------------------------!
	1602	SUBROUTINE wtm_rotate_rotor( inot )
[1819]	1603
[1864]	1604
	1605	IMPLICIT NONE
	1606
	1607	INTEGER(iwp) :: inot
	1608	!
	1609	!-- Calculation of the rotation matrix for the application of the tilt to
	1610	!-- the rotors
	1611	rot_eigen_rad(1) = SIN( phi_yaw(inot) ) ! x-component of the radial eigenvector
	1612	rot_eigen_rad(2) = COS( phi_yaw(inot) ) ! y-component of the radial eigenvector
	1613	rot_eigen_rad(3) = 0.0_wp ! z-component of the radial eigenvector
	1614
	1615	rot_eigen_azi(1) = 0.0_wp ! x-component of the azimuth eigenvector
	1616	rot_eigen_azi(2) = 0.0_wp ! y-component of the azimuth eigenvector
	1617	rot_eigen_azi(3) = 1.0_wp ! z-component of the azimuth eigenvector
	1618
	1619	rot_eigen_nor(1) = COS( phi_yaw(inot) ) ! x-component of the normal eigenvector
	1620	rot_eigen_nor(2) = -SIN( phi_yaw(inot) ) ! y-component of the normal eigenvector
	1621	rot_eigen_nor(3) = 0.0_wp ! z-component of the normal eigenvector
[1839]	1622
[1864]	1623	!
	1624	!-- Calculation of the coordinate transformation matrix to apply a tilt to
	1625	!-- the rotor. If tilt = 0, rot_coord_trans is a unit matrix.
[1819]	1626
[1912]	1627	rot_coord_trans(inot,1,1) = rot_eigen_rad(1)*2 &
[1864]	1628	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1629	rot_coord_trans(inot,1,2) = rot_eigen_rad(1) * rot_eigen_rad(2) * &
	1630	( 1.0_wp - COS( tilt ) ) - &
[1864]	1631	rot_eigen_rad(3) * SIN( tilt )
[1912]	1632	rot_coord_trans(inot,1,3) = rot_eigen_rad(1) * rot_eigen_rad(3) * &
	1633	( 1.0_wp - COS( tilt ) ) + &
[1864]	1634	rot_eigen_rad(2) * SIN( tilt )
[1912]	1635	rot_coord_trans(inot,2,1) = rot_eigen_rad(2) * rot_eigen_rad(1) * &
	1636	( 1.0_wp - COS( tilt ) ) + &
[1864]	1637	rot_eigen_rad(3) * SIN( tilt )
[1912]	1638	rot_coord_trans(inot,2,2) = rot_eigen_rad(2)*2 &
[1864]	1639	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1640	rot_coord_trans(inot,2,3) = rot_eigen_rad(2) * rot_eigen_rad(3) * &
	1641	( 1.0_wp - COS( tilt ) ) - &
[1864]	1642	rot_eigen_rad(1) * SIN( tilt )
[1912]	1643	rot_coord_trans(inot,3,1) = rot_eigen_rad(3) * rot_eigen_rad(1) * &
	1644	( 1.0_wp - COS( tilt ) ) - &
[1864]	1645	rot_eigen_rad(2) * SIN( tilt )
[1912]	1646	rot_coord_trans(inot,3,2) = rot_eigen_rad(3) * rot_eigen_rad(2) * &
	1647	( 1.0_wp - COS( tilt ) ) + &
[1864]	1648	rot_eigen_rad(1) * SIN( tilt )
[1912]	1649	rot_coord_trans(inot,3,3) = rot_eigen_rad(3)*2 &
[1864]	1650	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1839]	1651
[1864]	1652	!
	1653	!-- Vectors for the Transformation of forces from the rotor's spheric
	1654	!-- coordinate system to the cartesian coordinate system
	1655	rotx(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_nor )
	1656	roty(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_rad )
	1657	rotz(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_azi )
	1658
	1659	END SUBROUTINE wtm_rotate_rotor
[1839]	1660
	1661
[1819]	1662	!------------------------------------------------------------------------------!
	1663	! Description:
	1664	! ------------
[1839]	1665	!> Calculation of the forces generated by the wind turbine
[1819]	1666	!------------------------------------------------------------------------------!
	1667	SUBROUTINE wtm_forces
	1668
[1864]	1669
[1819]	1670	IMPLICIT NONE
	1671
[2669]	1672	CHARACTER (LEN=4) :: turbine_id
[1819]	1673
[1839]	1674	INTEGER(iwp) :: i, j, k !< loop indices
	1675	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	1676	INTEGER(iwp) :: iialpha, iir !<
	1677	INTEGER(iwp) :: rseg, rseg_int !<
	1678	INTEGER(iwp) :: ring, ring_int !<
	1679	INTEGER(iwp) :: ii, jj, kk !<
[1912]	1680
[2232]	1681	REAL(wp) :: flag !< flag to mask topography grid points
[1839]	1682	REAL(wp) :: sin_rot, cos_rot !<
	1683	REAL(wp) :: sin_yaw, cos_yaw !<
[1912]	1684
	1685	REAL(wp) :: aa, bb, cc, dd !< interpolation distances
	1686	REAL(wp) :: gg !< interpolation volume var
	1687
	1688	REAL(wp) :: dist_u_3d, dist_v_3d, dist_w_3d !< smearing distances
	1689
	1690
[1839]	1691	!
[1819]	1692	! Variables for pitch control
	1693	REAL(wp) :: torque_max=0.0_wp
[1839]	1694	LOGICAL :: pitch_sw=.FALSE.
	1695
[1819]	1696	INTEGER(iwp), DIMENSION(1) :: lct=0
[1839]	1697	REAL(wp), DIMENSION(1) :: rad_d=0.0_wp
[2152]	1698
	1699	REAL(wp) :: tl_factor !< factor for tip loss correction
[1819]	1700
	1701
[1864]	1702	CALL cpu_log( log_point_s(61), 'wtm_forces', 'start' )
[1819]	1703
	1704
	1705	IF ( simulated_time >= time_turbine_on ) THEN
	1706
[1864]	1707	!
[1819]	1708	!-- Set forces to zero for each new time step:
	1709	thrust(:,:,:) = 0.0_wp
	1710	torque_y(:,:,:) = 0.0_wp
	1711	torque_z(:,:,:) = 0.0_wp
	1712	torque_total(:) = 0.0_wp
[1912]	1713	rot_tend_x(:,:,:) = 0.0_wp
	1714	rot_tend_y(:,:,:) = 0.0_wp
	1715	rot_tend_z(:,:,:) = 0.0_wp
	1716	thrust_rotor(:) = 0.0_wp
[1819]	1717	!
	1718	!-- Loop over number of turbines:
	1719	DO inot = 1, nturbines
	1720
	1721	cos_yaw = COS(phi_yaw(inot))
	1722	sin_yaw = SIN(phi_yaw(inot))
	1723	!
[1839]	1724	!-- Loop over rings of each turbine:
[1819]	1725	DO ring = 1, nrings(inot)
	1726
	1727	thrust_seg(:) = 0.0_wp
	1728	torque_seg_y(:) = 0.0_wp
	1729	torque_seg_z(:) = 0.0_wp
	1730	!
	1731	!-- Determine distance between each ring (center) and the hub:
	1732	cur_r = (ring - 0.5_wp) * delta_r(inot)
	1733
	1734	!
[1839]	1735	!-- Loop over segments of each ring of each turbine:
[1819]	1736	DO rseg = 1, nsegs(ring,inot)
	1737	!
[1864]	1738	!-- !-----------------------------------------------------------!
	1739	!-- !-- Determine coordinates of the ring segments --!
	1740	!-- !-----------------------------------------------------------!
[1819]	1741	!
[1864]	1742	!-- Determine angle of ring segment towards zero degree angle of
	1743	!-- rotor system (at zero degree rotor direction vectors aligned
	1744	!-- with y-axis):
[1819]	1745	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1746	cos_rot = COS( phi_rotor )
	1747	sin_rot = SIN( phi_rotor )
	1748
[1864]	1749	!-- Now the direction vectors can be determined with respect to
	1750	!-- the yaw and tilt angle:
[1819]	1751	re(1) = cos_rot * sin_yaw
[1839]	1752	re(2) = cos_rot * cos_yaw
[1819]	1753	re(3) = sin_rot
	1754
	1755	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1756	!
	1757	!-- Coordinates of the single segments (center points):
	1758	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	1759	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	1760	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	1761
[1864]	1762	!-- !-----------------------------------------------------------!
	1763	!-- !-- Interpolation of the velocity components from the --!
	1764	!-- !-- cartesian grid point to the coordinates of each ring --!
	1765	!-- !-- segment (follows a method used in the particle model) --!
	1766	!-- !-----------------------------------------------------------!
[1819]	1767
	1768	u_int(inot,ring,rseg) = 0.0_wp
	1769	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1770
	1771	v_int(inot,ring,rseg) = 0.0_wp
	1772	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1773
	1774	w_int(inot,ring,rseg) = 0.0_wp
	1775	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1776
	1777	!
	1778	!-- Interpolation of the u-component:
	1779
	1780	ii = rbx(ring,rseg) * ddx
	1781	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[3065]	1782	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	1783	!
[1864]	1784	!-- Interpolate only if all required information is available on
	1785	!-- the current PE:
[1839]	1786	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1787	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1788
[1839]	1789	aa = ( ( ii + 1 ) * dx - rbx(ring,rseg) ) * &
	1790	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1791	bb = ( rbx(ring,rseg) - ii * dx ) * &
	1792	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1793	cc = ( ( ii+1 ) * dx - rbx(ring,rseg) ) * &
	1794	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1795	dd = ( rbx(ring,rseg) - ii * dx ) * &
	1796	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1797	gg = dx * dy
	1798
[1864]	1799	u_int_l = ( aa * u(kk,jj,ii) + &
	1800	bb * u(kk,jj,ii+1) + &
	1801	cc * u(kk,jj+1,ii) + &
	1802	dd * u(kk,jj+1,ii+1) &
[1819]	1803	) / gg
	1804
[1864]	1805	u_int_u = ( aa * u(kk+1,jj,ii) + &
	1806	bb * u(kk+1,jj,ii+1) + &
	1807	cc * u(kk+1,jj+1,ii) + &
	1808	dd * u(kk+1,jj+1,ii+1) &
[1819]	1809	) / gg
	1810
[1864]	1811	u_int_1_l(inot,ring,rseg) = u_int_l + &
[3065]	1812	( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
[1819]	1813	( u_int_u - u_int_l )
	1814
	1815	ELSE
	1816	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1817	ENDIF
	1818	ELSE
	1819	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1820	ENDIF
	1821
	1822
	1823	!
	1824	!-- Interpolation of the v-component:
	1825	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
[1839]	1826	jj = rby(ring,rseg) * ddy
[3065]	1827	kk = ( rbz(ring,rseg) + 0.5_wp * dz(1) ) / dz(1)
[1819]	1828	!
[1864]	1829	!-- Interpolate only if all required information is available on
	1830	!-- the current PE:
[1839]	1831	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1832	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1833
[1839]	1834	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1835	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1836	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1837	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1838	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1839	( rby(ring,rseg) - jj * dy )
	1840	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1841	( rby(ring,rseg) - jj * dy )
[1819]	1842	gg = dx * dy
	1843
[1864]	1844	v_int_l = ( aa * v(kk,jj,ii) + &
	1845	bb * v(kk,jj,ii+1) + &
	1846	cc * v(kk,jj+1,ii) + &
	1847	dd * v(kk,jj+1,ii+1) &
[1819]	1848	) / gg
	1849
[1864]	1850	v_int_u = ( aa * v(kk+1,jj,ii) + &
	1851	bb * v(kk+1,jj,ii+1) + &
	1852	cc * v(kk+1,jj+1,ii) + &
	1853	dd * v(kk+1,jj+1,ii+1) &
[1819]	1854	) / gg
	1855
[1864]	1856	v_int_1_l(inot,ring,rseg) = v_int_l + &
[3065]	1857	( rbz(ring,rseg) - zu(kk) ) / dz(1) * &
[1819]	1858	( v_int_u - v_int_l )
	1859
	1860	ELSE
	1861	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1862	ENDIF
	1863	ELSE
	1864	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1865	ENDIF
	1866
	1867
	1868	!
	1869	!-- Interpolation of the w-component:
	1870	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
	1871	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[3065]	1872	kk = rbz(ring,rseg) / dz(1)
[1819]	1873	!
[1864]	1874	!-- Interpolate only if all required information is available on
	1875	!-- the current PE:
[1839]	1876	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1877	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1878
[1839]	1879	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1880	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1881	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1882	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1883	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1884	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1885	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1886	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1887	gg = dx * dy
	1888
[1864]	1889	w_int_l = ( aa * w(kk,jj,ii) + &
	1890	bb * w(kk,jj,ii+1) + &
	1891	cc * w(kk,jj+1,ii) + &
	1892	dd * w(kk,jj+1,ii+1) &
[1819]	1893	) / gg
	1894
[1864]	1895	w_int_u = ( aa * w(kk+1,jj,ii) + &
	1896	bb * w(kk+1,jj,ii+1) + &
	1897	cc * w(kk+1,jj+1,ii) + &
	1898	dd * w(kk+1,jj+1,ii+1) &
[1819]	1899	) / gg
	1900
[1864]	1901	w_int_1_l(inot,ring,rseg) = w_int_l + &
[3065]	1902	( rbz(ring,rseg) - zw(kk) ) / dz(1) * &
[1819]	1903	( w_int_u - w_int_l )
	1904	ELSE
	1905	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1906	ENDIF
	1907	ELSE
	1908	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1909	ENDIF
	1910
	1911	ENDDO
	1912	ENDDO
	1913
	1914	ENDDO
	1915
	1916	!
	1917	!-- Exchange between PEs (information required on each PE):
	1918	#if defined( __parallel )
[1839]	1919	CALL MPI_ALLREDUCE( u_int_1_l, u_int, nturbines * MAXVAL(nrings) * &
	1920	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1921	CALL MPI_ALLREDUCE( v_int_1_l, v_int, nturbines * MAXVAL(nrings) * &
	1922	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1923	CALL MPI_ALLREDUCE( w_int_1_l, w_int, nturbines * MAXVAL(nrings) * &
	1924	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
[1819]	1925	#else
	1926	u_int = u_int_1_l
	1927	v_int = v_int_1_l
	1928	w_int = w_int_1_l
	1929	#endif
	1930
	1931
	1932	!
	1933	!-- Loop over number of turbines:
[1912]	1934
[1819]	1935	DO inot = 1, nturbines
[1912]	1936	pit_loop: DO
[1819]	1937
[1912]	1938	IF ( pitch_sw ) THEN
[1839]	1939	torque_total(inot) = 0.0_wp
[1912]	1940	thrust_rotor(inot) = 0.0_wp
	1941	pitch_add(inot) = pitch_add(inot) + 0.25_wp
	1942	! IF ( myid == 0 ) PRINT*, 'Pitch', inot, pitch_add(inot)
	1943	ELSE
	1944	cos_yaw = COS(phi_yaw(inot))
	1945	sin_yaw = SIN(phi_yaw(inot))
	1946	IF ( pitch_control ) THEN
	1947	pitch_add(inot) = MAX(pitch_add_old(inot) - pitch_rate * &
	1948	dt_3d , 0.0_wp )
	1949	ENDIF
[1819]	1950	ENDIF
	1951
[1839]	1952	!
	1953	!-- Loop over rings of each turbine:
[1819]	1954	DO ring = 1, nrings(inot)
	1955	!
	1956	!-- Determine distance between each ring (center) and the hub:
	1957	cur_r = (ring - 0.5_wp) * delta_r(inot)
[1839]	1958	!
	1959	!-- Loop over segments of each ring of each turbine:
[1819]	1960	DO rseg = 1, nsegs(ring,inot)
	1961	!
[1839]	1962	!-- Determine angle of ring segment towards zero degree angle of
	1963	!-- rotor system (at zero degree rotor direction vectors aligned
	1964	!-- with y-axis):
[1819]	1965	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1966	cos_rot = COS(phi_rotor)
	1967	sin_rot = SIN(phi_rotor)
	1968	!
[1839]	1969	!-- Now the direction vectors can be determined with respect to
	1970	!-- the yaw and tilt angle:
[1819]	1971	re(1) = cos_rot * sin_yaw
	1972	re(2) = cos_rot * cos_yaw
	1973	re(3) = sin_rot
	1974
[1864]	1975	! The current unit vector in azimuthal direction:
[1819]	1976	rea(1) = - sin_rot * sin_yaw
	1977	rea(2) = - sin_rot * cos_yaw
	1978	rea(3) = cos_rot
	1979
	1980	!
[1864]	1981	!-- To respect the yawing angle for the calculations of
	1982	!-- velocities and forces the unit vectors perpendicular to the
	1983	!-- rotor area in direction of the positive yaw angle are defined:
[1819]	1984	ren(1) = cos_yaw
	1985	ren(2) = - sin_yaw
	1986	ren(3) = 0.0_wp
	1987	!
	1988	!-- Multiplication with the coordinate transformation matrix
[1864]	1989	!-- gives the final unit vector with consideration of the rotor
	1990	!-- tilt:
[1819]	1991	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1992	rota = MATMUL( rot_coord_trans(inot,:,:), rea )
	1993	rotn = MATMUL( rot_coord_trans(inot,:,:), ren )
	1994	!
	1995	!-- Coordinates of the single segments (center points):
	1996	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	1997
	1998	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	1999
	2000	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	2001
	2002	!
[1864]	2003	!-- !-----------------------------------------------------------!
	2004	!-- !-- Calculation of various angles and relative velocities --!
	2005	!-- !-----------------------------------------------------------!
[1819]	2006	!
[1864]	2007	!-- In the following the 3D-velocity field is projected its
[2553]	2008	!-- components perpendicular and parallel to the rotor area
[1819]	2009	!-- The calculation of forces will be done in the rotor-
	2010	!-- coordinates y' and z.
	2011	!-- The yaw angle will be reintroduced when the force is applied
	2012	!-- on the hydrodynamic equations
[1864]	2013	!
	2014	!-- Projection of the xy-velocities relative to the rotor area
	2015	!
[1819]	2016	!-- Velocity perpendicular to the rotor area:
[1864]	2017	u_rot = u_int(inot,ring,rseg)*rotn(1) + &
	2018	v_int(inot,ring,rseg)*rotn(2) + &
[1819]	2019	w_int(inot,ring,rseg)*rotn(3)
	2020	!
[1864]	2021	!-- Projection of the 3D-velocity vector in the azimuthal
	2022	!-- direction:
	2023	vtheta(rseg) = rota(1) * u_int(inot,ring,rseg) + &
	2024	rota(2) * v_int(inot,ring,rseg) + &
[1819]	2025	rota(3) * w_int(inot,ring,rseg)
	2026	!
[1864]	2027	!-- Determination of the angle phi_rel between the rotor plane
	2028	!-- and the direction of the flow relative to the rotor:
[1819]	2029
[1864]	2030	phi_rel(rseg) = ATAN( u_rot / &
	2031	( omega_rot(inot) * cur_r - &
[1819]	2032	vtheta(rseg) ) )
	2033
	2034	!
[1864]	2035	!-- Interpolation of the local pitch angle from tabulated values
	2036	!-- to the current radial position:
[1819]	2037
	2038	lct=minloc(ABS(cur_r-lrd))
	2039	rad_d=cur_r-lrd(lct)
	2040
	2041	IF (cur_r == 0.0_wp) THEN
	2042	alpha_attack(rseg) = 0.0_wp
	2043	ELSE IF (cur_r >= lrd(size(ard))) THEN
[1864]	2044	alpha_attack(rseg) = ( ard(size(ard)) + &
	2045	ard(size(ard)-1) ) / 2.0_wp
[1819]	2046	ELSE
[1864]	2047	alpha_attack(rseg) = ( ard(lct(1)) * &
	2048	( ( lrd(lct(1)+1) - cur_r ) / &
	2049	( lrd(lct(1)+1) - lrd(lct(1)) ) &
	2050	) ) + ( ard(lct(1)+1) * &
	2051	( ( cur_r - lrd(lct(1)) ) / &
	2052	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2053	ENDIF
	2054
	2055	!
[1864]	2056	!-- In Fortran radian instead of degree is used as unit for all
	2057	!-- angles. Therefore, a transformation from angles given in
	2058	!-- degree to angles given in radian is necessary here:
	2059	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2060	( (2.0_wp*pi) / 360.0_wp )
	2061	!
[1864]	2062	!-- Substraction of the local pitch angle to obtain the local
	2063	!-- angle of attack:
[1819]	2064	alpha_attack(rseg) = phi_rel(rseg) - alpha_attack(rseg)
	2065	!
[1864]	2066	!-- Preliminary transformation back from angles given in radian
	2067	!-- to angles given in degree:
	2068	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2069	( 360.0_wp / (2.0_wp*pi) )
	2070	!
[1864]	2071	!-- Correct with collective pitch angle:
[3139]	2072	alpha_attack(rseg) = alpha_attack(rseg) - pitch_add(inot)
[1819]	2073
	2074	!
[1864]	2075	!-- Determination of the magnitude of the flow velocity relative
	2076	!-- to the rotor:
[1912]	2077	vrel(rseg) = SQRT( u_rot**2 + &
	2078	( omega_rot(inot) * cur_r - &
[1819]	2079	vtheta(rseg) )**2 )
	2080
	2081	!
[1864]	2082	!-- !-----------------------------------------------------------!
	2083	!-- !-- Interpolation of chord as well as lift and drag --!
	2084	!-- !-- coefficients from tabulated values --!
	2085	!-- !-----------------------------------------------------------!
[1819]	2086
	2087	!
[1864]	2088	!-- Interpolation of the chord_length from tabulated values to
	2089	!-- the current radial position:
[1819]	2090
	2091	IF (cur_r == 0.0_wp) THEN
	2092	chord(rseg) = 0.0_wp
	2093	ELSE IF (cur_r >= lrd(size(crd))) THEN
[1864]	2094	chord(rseg) = (crd(size(crd)) + ard(size(crd)-1)) / 2.0_wp
[1819]	2095	ELSE
[1864]	2096	chord(rseg) = ( crd(lct(1)) * &
	2097	( ( lrd(lct(1)+1) - cur_r ) / &
	2098	( lrd(lct(1)+1) - lrd(lct(1)) ) ) ) + &
	2099	( crd(lct(1)+1) * &
	2100	( ( cur_r-lrd(lct(1)) ) / &
	2101	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	2102	ENDIF
	2103
	2104	!
	2105	!-- Determine index of current angle of attack, needed for
[1864]	2106	!-- finding the appropriate interpolated values of the lift and
[2836]	2107	!-- drag coefficients (-180.0 degrees = 1, +180.0 degrees = 3601,
	2108	!-- so one index every 0.1 degrees):
[1864]	2109	iialpha = CEILING( ( alpha_attack(rseg) + 180.0_wp ) &
[2836]	2110	* ( 1.0_wp / accu_cl_cd_tab ) ) + 1.0_wp
[1819]	2111	!
	2112	!-- Determine index of current radial position, needed for
[1864]	2113	!-- finding the appropriate interpolated values of the lift and
	2114	!-- drag coefficients (one index every 0.1 m):
[1819]	2115	iir = CEILING( cur_r * 10.0_wp )
	2116	!
[1864]	2117	!-- Read in interpolated values of the lift and drag coefficients
	2118	!-- for the current radial position and angle of attack:
[1839]	2119	turb_cl(rseg) = turb_cl_tab(iialpha,iir)
	2120	turb_cd(rseg) = turb_cd_tab(iialpha,iir)
[1819]	2121
	2122	!
[1864]	2123	!-- Final transformation back from angles given in degree to
	2124	!-- angles given in radian:
	2125	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	2126	( (2.0_wp*pi) / 360.0_wp )
	2127
[2152]	2128	IF ( tl_cor ) THEN
	2129
	2130	!-- Tip loss correction following Schito
	2131	!-- Schito applies the tip loss correction only to the lift force
	2132	!-- Therefore, the tip loss correction is only applied to the lift
	2133	!-- coefficient and not to the drag coefficient in our case
	2134	!--
	2135	tl_factor = ( 2.0 / pi ) * &
	2136	ACOS( EXP( -1.0 * ( 3.0 * ( rr(inot) - cur_r ) / &
	2137	( 2.0 * cur_r * abs( sin( phi_rel(rseg) ) ) ) ) ) )
	2138
	2139	turb_cl(rseg) = tl_factor * turb_cl(rseg)
	2140
[2894]	2141	ENDIF
[1819]	2142	!
	2143	!-- !-----------------------------------------------------!
	2144	!-- !-- Calculation of the forces --!
	2145	!-- !-----------------------------------------------------!
	2146
	2147	!
[1864]	2148	!-- Calculate the pre_factor for the thrust and torque forces:
[1819]	2149
	2150	pre_factor = 0.5_wp * (vrel(rseg)*2) 3.0_wp * &
	2151	chord(rseg) * delta_r(inot) / nsegs(ring,inot)
	2152
	2153	!
[1864]	2154	!-- Calculate the thrust force (x-component of the total force)
	2155	!-- for each ring segment:
	2156	thrust_seg(rseg) = pre_factor * &
	2157	( turb_cl(rseg) * COS(phi_rel(rseg)) + &
	2158	turb_cd(rseg) * SIN(phi_rel(rseg)) )
[1819]	2159
	2160	!
[1864]	2161	!-- Determination of the second of the additional forces acting
	2162	!-- on the flow in the azimuthal direction: force vector as basis
	2163	!-- for torque (torque itself would be the vector product of the
	2164	!-- radius vector and the force vector):
	2165	torque_seg = pre_factor * &
	2166	( turb_cl(rseg) * SIN(phi_rel(rseg)) - &
[1839]	2167	turb_cd(rseg) * COS(phi_rel(rseg)) )
[1819]	2168	!
	2169	!-- Decomposition of the force vector into two parts:
[1864]	2170	!-- One acting along the y-direction and one acting along the
	2171	!-- z-direction of the rotor coordinate system:
[1819]	2172
	2173	torque_seg_y(rseg) = -torque_seg * sin_rot
	2174	torque_seg_z(rseg) = torque_seg * cos_rot
	2175
[1912]	2176	!
	2177	!-- Add the segment thrust to the thrust of the whole rotor
	2178	thrust_rotor(inot) = thrust_rotor(inot) + &
	2179	thrust_seg(rseg)
	2180
	2181
[1819]	2182	torque_total(inot) = torque_total(inot) + (torque_seg * cur_r)
	2183
[1864]	2184	ENDDO !-- end of loop over ring segments
[1819]	2185
	2186	!
[1864]	2187	!-- Restore the forces into arrays containing all the segments of
	2188	!-- each ring:
[1819]	2189	thrust_ring(ring,:) = thrust_seg(:)
	2190	torque_ring_y(ring,:) = torque_seg_y(:)
	2191	torque_ring_z(ring,:) = torque_seg_z(:)
	2192
	2193
[1864]	2194	ENDDO !-- end of loop over rings
[1819]	2195
	2196
[1864]	2197	CALL cpu_log( log_point_s(62), 'wtm_controller', 'start' )
[1819]	2198
[1912]	2199
	2200	IF ( speed_control ) THEN
	2201	!
	2202	!-- Calculation of the current generator speed for rotor speed control
	2203
	2204	!
	2205	!-- The acceleration of the rotor speed is calculated from
	2206	!-- the force balance of the accelerating torque
	2207	!-- and the torque of the rotating rotor and generator
	2208	om_rate = ( torque_total(inot) * air_dens * gear_eff - &
	2209	gear_ratio * torque_gen_old(inot) ) / &
	2210	( inertia_rot + &
	2211	gear_ratio * gear_ratio * inertia_gen ) * dt_3d
[1819]	2212
[1912]	2213	!
	2214	!-- The generator speed is given by the product of gear gear_ratio
	2215	!-- and rotor speed
	2216	omega_gen(inot) = gear_ratio * ( omega_rot(inot) + om_rate )
	2217
	2218	ENDIF
	2219
[1864]	2220	IF ( pitch_control ) THEN
[1819]	2221
[1912]	2222	!
	2223	!-- If the current generator speed is above rated, the pitch is not
	2224	!-- saturated and the change from the last time step is within the
	2225	!-- maximum pitch rate, then the pitch loop is repeated with a pitch
	2226	!-- gain
	2227	IF ( ( omega_gen(inot) > rated_genspeed ) .AND. &
	2228	( pitch_add(inot) < 25.0_wp ) .AND. &
	2229	( pitch_add(inot) < pitch_add_old(inot) + &
	2230	pitch_rate * dt_3d ) ) THEN
[1864]	2231	pitch_sw = .TRUE.
[1912]	2232	!
	2233	!-- Go back to beginning of pit_loop
	2234	CYCLE pit_loop
[1819]	2235	ENDIF
[1912]	2236
	2237	!
	2238	!-- The current pitch is saved for the next time step
	2239	pitch_add_old(inot) = pitch_add(inot)
[1864]	2240	pitch_sw = .FALSE.
[1819]	2241	ENDIF
[1912]	2242	EXIT pit_loop
	2243	ENDDO pit_loop ! Recursive pitch control loop
[1819]	2244
[1864]	2245
[1819]	2246	!
[1864]	2247	!-- Call the rotor speed controller
	2248
[1819]	2249	IF ( speed_control ) THEN
	2250	!
[1864]	2251	!-- Find processor at i_hub, j_hub
[1912]	2252	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2253	THEN
	2254	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2255	THEN
[1864]	2256	CALL wtm_speed_control( inot )
	2257	ENDIF
[1912]	2258	ENDIF
[1864]	2259
[1819]	2260	ENDIF
	2261
	2262
[1864]	2263	CALL cpu_log( log_point_s(62), 'wtm_controller', 'stop' )
[1819]	2264
[1864]	2265	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'start' )
[1819]	2266
	2267
[1864]	2268	!-- !-----------------------------------------------------------------!
	2269	!-- !-- Regularization kernel --!
	2270	!-- !-- Smearing of the forces and interpolation to cartesian grid --!
	2271	!-- !-----------------------------------------------------------------!
[1819]	2272	!
[1864]	2273	!-- The aerodynamic blade forces need to be distributed smoothly on
	2274	!-- several mesh points in order to avoid singular behaviour
[1819]	2275	!
	2276	!-- Summation over sum of weighted forces. The weighting factor
[1864]	2277	!-- (calculated in user_init) includes information on the distance
	2278	!-- between the center of the grid cell and the rotor segment under
	2279	!-- consideration
[1819]	2280	!
[1864]	2281	!-- To save computing time, apply smearing only for the relevant part
	2282	!-- of the model domain:
[1819]	2283	!
	2284	!--
	2285	!-- Calculation of the boundaries:
[1864]	2286	i_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,1) ) + &
	2287	eps_min ) / dx )
	2288	j_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,2) ) + &
	2289	eps_min ) / dy )
[1819]	2290
[1864]	2291	DO i = MAX( nxl, i_hub(inot) - i_smear(inot) ), &
[1819]	2292	MIN( nxr, i_hub(inot) + i_smear(inot) )
[1864]	2293	DO j = MAX( nys, j_hub(inot) - j_smear(inot) ), &
[1819]	2294	MIN( nyn, j_hub(inot) + j_smear(inot) )
[2232]	2295	! DO k = MAX( nzb_u_inner(j,i)+1, k_hub(inot) - k_smear(inot) ), &
	2296	! k_hub(inot) + k_smear(inot)
	2297	DO k = nzb+1, k_hub(inot) + k_smear(inot)
[1819]	2298	DO ring = 1, nrings(inot)
	2299	DO rseg = 1, nsegs(ring,inot)
	2300	!
[2232]	2301	!-- Predetermine flag to mask topography
	2302	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 1 ) )
	2303
	2304	!
[1819]	2305	!-- Determine the square of the distance between the
	2306	!-- current grid point and each rotor area segment:
[1864]	2307	dist_u_3d = ( i * dx - rbx(ring,rseg) )**2 + &
	2308	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
[3065]	2309	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1864]	2310	dist_v_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2311	( j * dy - rby(ring,rseg) )**2 + &
[3065]	2312	( k * dz(1) - 0.5_wp * dz(1) - rbz(ring,rseg) )**2
[1864]	2313	dist_w_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	2314	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
[3065]	2315	( k * dz(1) - rbz(ring,rseg) )**2
[1819]	2316
	2317	!
	2318	!-- 3D-smearing of the forces with a polynomial function
	2319	!-- (much faster than the old Gaussian function), using
	2320	!-- some parameters that have been calculated in user_init.
	2321	!-- The function is only similar to Gaussian function for
	2322	!-- squared distances <= eps_min2:
	2323	IF ( dist_u_3d <= eps_min2 ) THEN
[2232]	2324	thrust(k,j,i) = thrust(k,j,i) + &
	2325	thrust_ring(ring,rseg) * &
	2326	( ( pol_a * dist_u_3d - pol_b ) * &
	2327	dist_u_3d + 1.0_wp ) * eps_factor *&
	2328	flag
[1819]	2329	ENDIF
	2330	IF ( dist_v_3d <= eps_min2 ) THEN
[2232]	2331	torque_y(k,j,i) = torque_y(k,j,i) + &
	2332	torque_ring_y(ring,rseg) * &
	2333	( ( pol_a * dist_v_3d - pol_b ) * &
	2334	dist_v_3d + 1.0_wp ) * eps_factor * &
	2335	flag
[1819]	2336	ENDIF
	2337	IF ( dist_w_3d <= eps_min2 ) THEN
[2232]	2338	torque_z(k,j,i) = torque_z(k,j,i) + &
	2339	torque_ring_z(ring,rseg) * &
	2340	( ( pol_a * dist_w_3d - pol_b ) * &
	2341	dist_w_3d + 1.0_wp ) * eps_factor * &
	2342	flag
[1819]	2343	ENDIF
	2344
	2345	ENDDO ! End of loop over rseg
	2346	ENDDO ! End of loop over ring
	2347
	2348	!
	2349	!-- Rotation of force components:
[2232]	2350	rot_tend_x(k,j,i) = rot_tend_x(k,j,i) + ( &
[1864]	2351	thrust(k,j,i)*rotx(inot,1) + &
	2352	torque_y(k,j,i)*roty(inot,1) + &
[2232]	2353	torque_z(k,j,i)*rotz(inot,1) &
	2354	) * flag
[1819]	2355
[2232]	2356	rot_tend_y(k,j,i) = rot_tend_y(k,j,i) + ( &
[1864]	2357	thrust(k,j,i)*rotx(inot,2) + &
	2358	torque_y(k,j,i)*roty(inot,2) + &
[2232]	2359	torque_z(k,j,i)*rotz(inot,2) &
	2360	) * flag
[1819]	2361
[2232]	2362	rot_tend_z(k,j,i) = rot_tend_z(k,j,i) + ( &
[1864]	2363	thrust(k,j,i)*rotx(inot,3) + &
	2364	torque_y(k,j,i)*roty(inot,3) + &
[2232]	2365	torque_z(k,j,i)*rotz(inot,3) &
	2366	) * flag
[1819]	2367
	2368	ENDDO ! End of loop over k
	2369	ENDDO ! End of loop over j
	2370	ENDDO ! End of loop over i
	2371
[1864]	2372	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'stop' )
[1819]	2373
[1912]	2374	ENDDO !-- end of loop over turbines
[1819]	2375
	2376
	2377	IF ( yaw_control ) THEN
	2378	!
	2379	!-- Allocate arrays for yaw control at first call
	2380	!-- Can't be allocated before dt_3d is set
	2381	IF ( start_up ) THEN
[1864]	2382	WDLON = NINT( 30.0_wp / dt_3d ) ! 30s running mean array
[1819]	2383	ALLOCATE( wd30(1:nturbines,1:WDLON) )
[1912]	2384	wd30 = 999.0_wp ! Set to dummy value
[1819]	2385	ALLOCATE( wd30_l(1:WDLON) )
	2386
[1864]	2387	WDSHO = NINT( 2.0_wp / dt_3d ) ! 2s running mean array
[1819]	2388	ALLOCATE( wd2(1:nturbines,1:WDSHO) )
[1912]	2389	wd2 = 999.0_wp ! Set to dummy value
[1819]	2390	ALLOCATE( wd2_l(1:WDSHO) )
	2391	start_up = .FALSE.
	2392	ENDIF
	2393
	2394	!
	2395	!-- Calculate the inflow wind speed
	2396	!--
	2397	!-- Loop over number of turbines:
	2398	DO inot = 1, nturbines
	2399	!
	2400	!-- Find processor at i_hub, j_hub
[1912]	2401	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2402	THEN
	2403	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2404	THEN
[1864]	2405
[1819]	2406	u_inflow_l(inot) = u(k_hub(inot),j_hub(inot),i_hub(inot))
[1864]	2407
[1912]	2408	wdir_l(inot) = -1.0_wp * ATAN2( &
	2409	0.5_wp * ( v(k_hub(inot),j_hub(inot),i_hub(inot)+1) + &
	2410	v(k_hub(inot),j_hub(inot),i_hub(inot)) ) , &
	2411	0.5_wp * ( u(k_hub(inot),j_hub(inot)+1,i_hub(inot)) + &
	2412	u(k_hub(inot),j_hub(inot),i_hub(inot)) ) )
[1864]	2413
	2414	CALL wtm_yawcontrol( inot )
	2415
[1819]	2416	phi_yaw_l(inot) = phi_yaw(inot)
[2015]	2417
[1819]	2418	ENDIF
	2419	ENDIF
	2420
[1864]	2421	ENDDO !-- end of loop over turbines
	2422
	2423	!
[1929]	2424	!-- Transfer of information to the other cpus
	2425	#if defined( __parallel )
[1864]	2426	CALL MPI_ALLREDUCE( u_inflow_l, u_inflow, nturbines, MPI_REAL, &
	2427	MPI_SUM, comm2d, ierr )
	2428	CALL MPI_ALLREDUCE( wdir_l, wdir, nturbines, MPI_REAL, MPI_SUM, &
	2429	comm2d, ierr )
	2430	CALL MPI_ALLREDUCE( phi_yaw_l, phi_yaw, nturbines, MPI_REAL, &
	2431	MPI_SUM, comm2d, ierr )
[1929]	2432	#else
	2433	u_inflow = u_inflow_l
	2434	wdir = wdir_l
	2435	phi_yaw = phi_yaw_l
[2015]	2436
	2437
[1929]	2438	#endif
[1819]	2439	DO inot = 1, nturbines
[1864]	2440	!
	2441	!-- Update rotor orientation
	2442	CALL wtm_rotate_rotor( inot )
[1819]	2443
	2444	ENDDO ! End of loop over turbines
	2445
[2894]	2446	ENDIF ! end of yaw control
[1864]	2447
	2448	IF ( speed_control ) THEN
	2449	!
	2450	!-- Transfer of information to the other cpus
[1912]	2451	! CALL MPI_ALLREDUCE( omega_gen, omega_gen_old, nturbines, &
	2452	! MPI_REAL,MPI_SUM, comm2d, ierr )
[1929]	2453	#if defined( __parallel )
[1864]	2454	CALL MPI_ALLREDUCE( torque_gen, torque_gen_old, nturbines, &
	2455	MPI_REAL, MPI_SUM, comm2d, ierr )
	2456	CALL MPI_ALLREDUCE( omega_rot_l, omega_rot, nturbines, &
	2457	MPI_REAL, MPI_SUM, comm2d, ierr )
[1912]	2458	CALL MPI_ALLREDUCE( omega_gen_f, omega_gen_f_old, nturbines, &
	2459	MPI_REAL, MPI_SUM, comm2d, ierr )
[1929]	2460	#else
	2461	torque_gen_old = torque_gen
	2462	omega_rot = omega_rot_l
	2463	omega_gen_f_old = omega_gen_f
	2464	#endif
[1864]	2465
	2466	ENDIF
[1819]	2467
	2468	DO inot = 1, nturbines
	2469
	2470	IF ( myid == 0 ) THEN
	2471	IF ( openfile_turb_mod(400+inot)%opened ) THEN
	2472	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2473	omega_gen(inot), torque_gen_old(inot), &
[1864]	2474	torque_total(inot), pitch_add(inot), &
[1912]	2475	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2476	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2477	thrust_rotor(inot), &
[1864]	2478	wdir(inot)*180.0_wp/pi, &
	2479	(phi_yaw(inot))*180.0_wp/pi
[1912]	2480
[1819]	2481	ELSE
	2482
[2669]	2483	WRITE ( turbine_id,'(A2,I2.2)') '_T', inot
	2484	OPEN ( 400+inot, FILE=( 'WTM_OUTPUT_DATA' // &
	2485	TRIM( coupling_char ) // &
	2486	turbine_id ), FORM='FORMATTED' )
[1819]	2487	WRITE ( 400+inot, 105 ) inot
	2488	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2489	omega_gen(inot), torque_gen_old(inot), &
[1864]	2490	torque_total(inot), pitch_add(inot), &
[1912]	2491	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2492	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2493	thrust_rotor(inot), &
[1864]	2494	wdir(inot)*180.0_wp/pi, &
	2495	(phi_yaw(inot))*180.0_wp/pi
[1819]	2496	ENDIF
	2497	ENDIF
	2498
[1912]	2499	!-- Set open flag
[1819]	2500	openfile_turb_mod(400+inot)%opened = .TRUE.
[1864]	2501	ENDDO !-- end of loop over turbines
[1819]	2502
	2503	ENDIF
	2504
[1864]	2505	CALL cpu_log( log_point_s(61), 'wtm_forces', 'stop' )
[1819]	2506
[1912]	2507	!
	2508	!-- Formats
[1819]	2509	105 FORMAT ('Turbine control data for turbine ',I2,1X,':'/ &
	2510	&'----------------------------------------'/ &
	2511	&' Time RSpeed GSpeed ', &
[1912]	2512	'GenTorque AeroTorque Pitch Power(Gen) Power(Rot) ', &
	2513	'RotThrust WDirection YawOrient')
[1819]	2514
[1864]	2515	106 FORMAT (F9.3,2X,F7.3,2X,F7.2,2X,F9.1,3X,F9.1,1X,F6.2,2X,F10.1,2X, &
	2516	F10.1,1X,F9.1,2X,F7.2,1X,F7.2)
[1819]	2517
	2518
	2519	END SUBROUTINE wtm_forces
	2520
	2521
[1839]	2522	!------------------------------------------------------------------------------!
	2523	! Description:
	2524	! ------------
	2525	!> Yaw controller for the wind turbine model
	2526	!------------------------------------------------------------------------------!
	2527	SUBROUTINE wtm_yawcontrol( inot )
	2528
[1819]	2529	USE kinds
[1839]	2530
	2531	IMPLICIT NONE
[1819]	2532
	2533	INTEGER(iwp) :: inot
	2534	INTEGER(iwp) :: i_wd_30
	2535	REAL(wp) :: missal
	2536
	2537	i_wd_30 = 0_iwp
	2538
	2539	!
[1864]	2540	!-- The yaw controller computes a 30s running mean of the wind direction.
	2541	!-- If the difference between turbine alignment and wind direction exceeds
	2542	!-- 5Â°, the turbine is yawed. The mechanism stops as soon as the 2s-running
	2543	!-- mean of the missalignment is smaller than 0.5Â°.
	2544	!-- Attention: If the timestep during the simulation changes significantly
	2545	!-- the lengths of the running means change and it does not correspond to
	2546	!-- 30s/2s anymore.
	2547	!-- ! Needs to be modified for these situations !
	2548	!-- For wind from the east, the averaging of the wind direction could cause
	2549	!-- problems and the yaw controller is probably flawed. -> Routine for
	2550	!-- averaging needs to be improved!
	2551	!
	2552	!-- Check if turbine is not yawing
[1819]	2553	IF ( .NOT. doyaw(inot) ) THEN
[1843]	2554	!
[1864]	2555	!-- Write current wind direction into array
[1843]	2556	wd30_l = wd30(inot,:)
	2557	wd30_l = CSHIFT( wd30_l, SHIFT=-1 )
[1819]	2558	wd30_l(1) = wdir(inot)
[1843]	2559	!
[1864]	2560	!-- Check if array is full ( no more dummies )
[1819]	2561	IF ( .NOT. ANY( wd30_l == 999.) ) THEN
	2562
	2563	missal = SUM( wd30_l ) / SIZE( wd30_l ) - phi_yaw(inot)
	2564	!
[1864]	2565	!-- Check if turbine is missaligned by more than max_miss
[1843]	2566	IF ( ABS( missal ) > max_miss ) THEN
	2567	!
[1864]	2568	!-- Check in which direction to yaw
[1843]	2569	yawdir(inot) = SIGN( 1.0_wp, missal )
[1819]	2570	!
[1864]	2571	!-- Start yawing of turbine
[1843]	2572	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2573	doyaw(inot) = .TRUE.
[1864]	2574	wd30_l = 999. ! fill with dummies again
[1819]	2575	ENDIF
	2576	ENDIF
	2577
	2578	wd30(inot,:) = wd30_l
	2579
	2580	!
[1864]	2581	!-- If turbine is already yawing:
	2582	!-- Initialize 2 s running mean and yaw until the missalignment is smaller
	2583	!-- than min_miss
[1819]	2584
	2585	ELSE
	2586	!
	2587	!-- Initialize 2 s running mean
	2588	wd2_l = wd2(inot,:)
[1864]	2589	wd2_l = CSHIFT( wd2_l, SHIFT = -1 )
[1819]	2590	wd2_l(1) = wdir(inot)
[1843]	2591	!
[1864]	2592	!-- Check if array is full ( no more dummies )
	2593	IF ( .NOT. ANY( wd2_l == 999.0_wp ) ) THEN
	2594	!
	2595	!-- Calculate missalignment of turbine
[1819]	2596	missal = SUM( wd2_l - phi_yaw(inot) ) / SIZE( wd2_l )
[1864]	2597	!
	2598	!-- Check if missalignment is still larger than 0.5 degree and if the
	2599	!-- yaw direction is still right
	2600	IF ( ( ABS( missal ) > min_miss ) .AND. &
	2601	( yawdir(inot) == SIGN( 1.0_wp, missal ) ) ) THEN
	2602	!
	2603	!-- Continue yawing
	2604	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2605	ELSE
[1864]	2606	!
	2607	!-- Stop yawing
[1819]	2608	doyaw(inot) = .FALSE.
[1864]	2609	wd2_l = 999.0_wp ! fill with dummies again
[1819]	2610	ENDIF
	2611	ELSE
[1864]	2612	!
	2613	!-- Continue yawing
[1843]	2614	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2615	ENDIF
	2616
	2617	wd2(inot,:) = wd2_l
	2618
	2619	ENDIF
	2620
[1839]	2621	END SUBROUTINE wtm_yawcontrol
[1819]	2622
[1864]	2623
[1819]	2624	!------------------------------------------------------------------------------!
	2625	! Description:
	2626	! ------------
[1864]	2627	!> Initialization of the speed control
	2628	!------------------------------------------------------------------------------!
	2629	SUBROUTINE wtm_init_speed_control
	2630
	2631
	2632	IMPLICIT NONE
	2633
	2634	!
	2635	!-- If speed control is set, remaining variables and control_parameters for
	2636	!-- the control algorithm are calculated
	2637	!
	2638	!-- Calculate slope constant for region 15
	2639	slope15 = ( slope2 * min_reg2 * min_reg2 ) / ( min_reg2 - min_reg15 )
	2640	!
	2641	!-- Calculate upper limit of slipage region
	2642	vs_sysp = rated_genspeed / 1.1_wp
	2643	!
	2644	!-- Calculate slope of slipage region
	2645	slope25 = ( rated_power / rated_genspeed ) / &
	2646	( rated_genspeed - vs_sysp )
	2647	!
	2648	!-- Calculate lower limit of slipage region
	2649	min_reg25 = ( slope25 - SQRT( slope25 * ( slope25 - 4.0_wp * &
	2650	slope2 * vs_sysp ) ) ) / &
[2410]	2651	( 2.0_wp * slope2 )
[1864]	2652	!
	2653	!-- Frequency for the simple low pass filter
	2654	Fcorner = 0.25_wp
	2655	!
	2656	!-- At the first timestep the torque is set to its maximum to prevent
	2657	!-- an overspeeding of the rotor
[2563]	2658	IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN
	2659	torque_gen_old(:) = max_torque_gen
	2660	ENDIF
[1864]	2661
	2662	END SUBROUTINE wtm_init_speed_control
	2663
	2664
	2665	!------------------------------------------------------------------------------!
	2666	! Description:
	2667	! ------------
	2668	!> Simple controller for the regulation of the rotor speed
	2669	!------------------------------------------------------------------------------!
	2670	SUBROUTINE wtm_speed_control( inot )
	2671
	2672
	2673	IMPLICIT NONE
	2674
[1912]	2675	INTEGER(iwp) :: inot
	2676
	2677
[1864]	2678
	2679	!
	2680	!-- The controller is based on the fortran script from Jonkman
	2681	!-- et al. 2009 "Definition of a 5 MW Reference Wind Turbine for
	2682	!-- offshore system developement"
	2683
	2684	!
	2685	!-- The generator speed is filtered by a low pass filter
	2686	!-- for the control of the generator torque
	2687	lp_coeff = EXP( -2.0_wp * 3.14_wp * dt_3d * Fcorner )
[1912]	2688	omega_gen_f(inot) = ( 1.0_wp - lp_coeff ) * omega_gen(inot) + lp_coeff *&
[1864]	2689	omega_gen_f_old(inot)
	2690
	2691	IF ( omega_gen_f(inot) <= min_reg15 ) THEN
	2692	!
	2693	!-- Region 1: Generator torque is set to zero to accelerate the rotor:
	2694	torque_gen(inot) = 0
	2695
	2696	ELSEIF ( omega_gen_f(inot) <= min_reg2 ) THEN
	2697	!
	2698	!-- Region 1.5: Generator torque is increasing linearly with rotor speed:
	2699	torque_gen(inot) = slope15 * ( omega_gen_f(inot) - min_reg15 )
	2700
	2701	ELSEIF ( omega_gen_f(inot) <= min_reg25 ) THEN
	2702	!
	2703	!-- Region 2: Generator torque is increased by the square of the generator
	2704	!-- speed to keep the TSR optimal:
	2705	torque_gen(inot) = slope2 * omega_gen_f(inot) * omega_gen_f(inot)
	2706
	2707	ELSEIF ( omega_gen_f(inot) < rated_genspeed ) THEN
	2708	!
	2709	!-- Region 2.5: Slipage region between 2 and 3:
	2710	torque_gen(inot) = slope25 * ( omega_gen_f(inot) - vs_sysp )
	2711
	2712	ELSE
	2713	!
	2714	!-- Region 3: Generator torque is antiproportional to the rotor speed to
	2715	!-- keep the power constant:
	2716	torque_gen(inot) = rated_power / omega_gen_f(inot)
	2717
	2718	ENDIF
	2719	!
	2720	!-- Calculate torque rate and confine with a max
	2721	trq_rate = ( torque_gen(inot) - torque_gen_old(inot) ) / dt_3d
	2722	trq_rate = MIN( MAX( trq_rate, -1.0_wp * max_trq_rate ), max_trq_rate )
	2723	!
	2724	!-- Calculate new gen torque and confine with max torque
	2725	torque_gen(inot) = torque_gen_old(inot) + trq_rate * dt_3d
	2726	torque_gen(inot) = MIN( torque_gen(inot), max_torque_gen )
	2727	!
	2728	!-- Overwrite values for next timestep
[1912]	2729	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
[1864]	2730
	2731
	2732	END SUBROUTINE wtm_speed_control
	2733
	2734
	2735	!------------------------------------------------------------------------------!
	2736	! Description:
	2737	! ------------
[1839]	2738	!> Application of the additional forces generated by the wind turbine on the
	2739	!> flow components (tendency terms)
	2740	!> Call for all grid points
[1819]	2741	!------------------------------------------------------------------------------!
	2742	SUBROUTINE wtm_tendencies( component )
	2743
[1839]	2744
[1819]	2745	IMPLICIT NONE
	2746
[1839]	2747	INTEGER(iwp) :: component !< prognostic variable (u,v,w)
	2748	INTEGER(iwp) :: i !< running index
	2749	INTEGER(iwp) :: j !< running index
	2750	INTEGER(iwp) :: k !< running index
[1819]	2751
	2752
	2753	SELECT CASE ( component )
	2754
	2755	CASE ( 1 )
	2756	!
	2757	!-- Apply the x-component of the force to the u-component of the flow:
[1864]	2758	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2759	DO i = nxlg, nxrg
	2760	DO j = nysg, nyng
[2553]	2761	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	2762	!
[1864]	2763	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2764	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[2553]	2765	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2766	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2767	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2553]	2768
[2232]	2769	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	2770	- tend_nac_x - tend_tow_x ) &
	2771	* MERGE( 1.0_wp, 0.0_wp, &
	2772	BTEST( wall_flags_0(k,j,i), 1 ) )
[1819]	2773	ENDDO
	2774	ENDDO
	2775	ENDDO
	2776	ENDIF
	2777
	2778	CASE ( 2 )
	2779	!
	2780	!-- Apply the y-component of the force to the v-component of the flow:
[1864]	2781	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2782	DO i = nxlg, nxrg
	2783	DO j = nysg, nyng
[2553]	2784	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	2785	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2786	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2787	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2788	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	2789	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	2790	- tend_nac_y - tend_tow_y ) &
	2791	* MERGE( 1.0_wp, 0.0_wp, &
	2792	BTEST( wall_flags_0(k,j,i), 2 ) )
[1819]	2793	ENDDO
	2794	ENDDO
	2795	ENDDO
	2796	ENDIF
	2797
	2798	CASE ( 3 )
	2799	!
	2800	!-- Apply the z-component of the force to the w-component of the flow:
[1864]	2801	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2802	DO i = nxlg, nxrg
	2803	DO j = nysg, nyng
[2553]	2804	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	2805	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	2806	* MERGE( 1.0_wp, 0.0_wp, &
	2807	BTEST( wall_flags_0(k,j,i), 3 ) )
[1819]	2808	ENDDO
	2809	ENDDO
	2810	ENDDO
	2811	ENDIF
	2812
	2813
	2814	CASE DEFAULT
	2815
	2816	WRITE( message_string, * ) 'unknown prognostic variable: ', component
	2817	CALL message( 'wtm_tendencies', 'PA04??', 1, 2, 0, 6, 0 )
	2818
	2819	END SELECT
	2820
	2821
	2822	END SUBROUTINE wtm_tendencies
	2823
	2824
	2825	!------------------------------------------------------------------------------!
	2826	! Description:
	2827	! ------------
[1839]	2828	!> Application of the additional forces generated by the wind turbine on the
	2829	!> flow components (tendency terms)
	2830	!> Call for grid point i,j
[1819]	2831	!------------------------------------------------------------------------------!
	2832	SUBROUTINE wtm_tendencies_ij( i, j, component )
	2833
	2834
	2835	IMPLICIT NONE
	2836
[1839]	2837	INTEGER(iwp) :: component !< prognostic variable (u,v,w)
	2838	INTEGER(iwp) :: i !< running index
	2839	INTEGER(iwp) :: j !< running index
	2840	INTEGER(iwp) :: k !< running index
[1819]	2841
	2842	SELECT CASE ( component )
	2843
	2844	CASE ( 1 )
	2845	!
	2846	!-- Apply the x-component of the force to the u-component of the flow:
[1839]	2847	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2848	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1819]	2849	!
[1839]	2850	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2851	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2852	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2853	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2854	SIGN( u(k,j,i)**2 , u(k,j,i) )
[2232]	2855	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_x(k,j,i) &
	2856	- tend_nac_x - tend_tow_x ) &
	2857	* MERGE( 1.0_wp, 0.0_wp, &
[2553]	2858	BTEST( wall_flags_0(k,j,i), 1 ) )
[1819]	2859	ENDDO
	2860	ENDIF
	2861
	2862	CASE ( 2 )
	2863	!
	2864	!-- Apply the y-component of the force to the v-component of the flow:
[1839]	2865	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2866	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[1912]	2867	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2868	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2869	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2870	SIGN( v(k,j,i)**2 , v(k,j,i) )
[2232]	2871	tend(k,j,i) = tend(k,j,i) + ( - rot_tend_y(k,j,i) &
	2872	- tend_nac_y - tend_tow_y ) &
	2873	* MERGE( 1.0_wp, 0.0_wp, &
	2874	BTEST( wall_flags_0(k,j,i), 2 ) )
[2553]	2875	ENDDO
[1819]	2876	ENDIF
	2877
	2878	CASE ( 3 )
	2879	!
	2880	!-- Apply the z-component of the force to the w-component of the flow:
[1839]	2881	IF ( simulated_time >= time_turbine_on ) THEN
[2553]	2882	DO k = nzb+1, MAXVAL(k_hub) + MAXVAL(k_smear)
[2232]	2883	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i) &
	2884	* MERGE( 1.0_wp, 0.0_wp, &
	2885	BTEST( wall_flags_0(k,j,i), 3 ) )
[1819]	2886	ENDDO
	2887	ENDIF
	2888
	2889
	2890	CASE DEFAULT
	2891
	2892	WRITE( message_string, * ) 'unknown prognostic variable: ', component
	2893	CALL message( 'wtm_tendencies', 'PA04??', 1, 2, 0, 6, 0 )
	2894
	2895	END SELECT
	2896
	2897
	2898	END SUBROUTINE wtm_tendencies_ij
	2899
	2900	END MODULE wind_turbine_model_mod

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