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source: palm/trunk/SOURCE/wind_turbine_model_mod.f90 @ 1920

Last change on this file since 1920 was 1917, checked in by witha, 8 years ago
Corrected documented changes in the file headers
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[1820]	1	!> @file wind_turbine_model_mod.f90
[1912]	2	!------------------------------------------------------------------------------!
[1819]	3	! This file is part of PALM.
	4	!
	5	! PALM is free software: you can redistribute it and/or modify it under the terms
	6	! of the GNU General Public License as published by the Free Software Foundation,
	7	! either version 3 of the License, or (at your option) any later version.
	8	!
	9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	12	!
	13	! You should have received a copy of the GNU General Public License along with
	14	! PALM. If not, see <http://www.gnu.org/licenses/>.
	15	!
	16	! Copyright 1997-2016 Leibniz Universitaet Hannover
[1912]	17	!------------------------------------------------------------------------------!
[1819]	18	!
	19	! Current revisions:
	20	! -----------------
[1913]	21	!
	22	!
	23	! Former revisions:
	24	! -----------------
	25	! $Id: wind_turbine_model_mod.f90 1917 2016-05-27 14:28:12Z suehring $
[1844]	26	!
[1917]	27	! 1914 2016-05-26 14:44:07Z witha
[1821]	28	! Initial revision
	29	!
[1819]	30	!
	31	! Description:
	32	! ------------
	33	!> This module calculates the effect of wind turbines on the flow fields. The
	34	!> initial version contains only the advanced actuator disk with rotation method
	35	!> (ADM-R).
	36	!> The wind turbines include the tower effect, can be yawed and tilted.
	37	!> The wind turbine model includes controllers for rotational speed, pitch and
	38	!> yaw.
	39	!> Currently some specifications of the NREL 5 MW reference turbine
	40	!> are hardcoded whereas most input data comes from separate files (currently
	41	!> external, planned to be included as namelist which will be read in
	42	!> automatically).
	43	!>
	44	!> @todo Revise code according to PALM Coding Standard
	45	!> @todo Implement ADM and ALM turbine models
	46	!> @todo Generate header information
[1917]	47	!> @todo Implement further parameter checks and error messages
[1819]	48	!> @todo Revise and add code documentation
	49	!> @todo Output turbine parameters as timeseries
	50	!> @todo Include additional output variables
[1864]	51	!> @todo Revise smearing the forces for turbines in yaw
	52	!> @todo Revise nacelle and tower parameterization
	53	!> @todo Allow different turbine types in one simulation
[1819]	54	!
	55	!------------------------------------------------------------------------------!
	56	MODULE wind_turbine_model_mod
	57
	58	USE arrays_3d, &
	59	ONLY: dd2zu, tend, u, v, w, zu, zw
	60
	61	USE constants
	62
	63	USE control_parameters, &
	64	ONLY: dt_3d, dz, message_string, simulated_time
	65
	66	USE cpulog, &
	67	ONLY: cpu_log, log_point_s
	68
	69	USE grid_variables, &
	70	ONLY: ddx, dx, ddy, dy
	71
	72	USE indices, &
	73	ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nz, &
	74	nzb, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt
	75
	76	USE kinds
	77
	78	USE pegrid
	79
	80
	81	IMPLICIT NONE
	82
[1864]	83	PRIVATE
[1819]	84
[1839]	85	LOGICAL :: wind_turbine=.FALSE. !< switch for use of wind turbine model
[1819]	86
	87	!
	88	!-- Variables specified in the namelist wind_turbine_par
	89
[1864]	90	INTEGER(iwp) :: nairfoils = 8 !< number of airfoils of the used turbine model (for ADM-R and ALM)
[1839]	91	INTEGER(iwp) :: nturbines = 1 !< number of turbines
[1819]	92
[1839]	93	LOGICAL :: pitch_control = .FALSE. !< switch for use of pitch controller
	94	LOGICAL :: speed_control = .FALSE. !< switch for use of speed controller
	95	LOGICAL :: yaw_control = .FALSE. !< switch for use of yaw controller
[1819]	96
[1839]	97	REAL(wp) :: segment_length = 1.0_wp !< length of the segments, the rotor area is divided into
	98	!< (in tangential direction, as factor of MIN(dx,dy,dz))
	99	REAL(wp) :: segment_width = 0.5_wp !< width of the segments, the rotor area is divided into
	100	!< (in radial direction, as factor of MIN(dx,dy,dz))
	101	REAL(wp) :: time_turbine_on = 0.0_wp !< time at which turbines are started
	102	REAL(wp) :: tilt = 0.0_wp !< vertical tilt of the rotor [degree] ( positive = backwards )
[1819]	103
[1912]	104	REAL(wp), DIMENSION(1:100) :: dtow = 0.0_wp !< tower diameter [m]
	105	REAL(wp), DIMENSION(1:100) :: omega_rot = 0.0_wp !< inital or constant rotor speed [rad/s]
	106	REAL(wp), DIMENSION(1:100) :: phi_yaw = 0.0_wp !< yaw angle [degree] ( clockwise, 0 = facing west )
	107	REAL(wp), DIMENSION(1:100) :: pitch_add = 0.0_wp !< constant pitch angle
	108	REAL(wp), DIMENSION(1:100) :: rcx = 9999999.9_wp !< position of hub in x-direction
	109	REAL(wp), DIMENSION(1:100) :: rcy = 9999999.9_wp !< position of hub in y-direction
	110	REAL(wp), DIMENSION(1:100) :: rcz = 9999999.9_wp !< position of hub in z-direction
	111	REAL(wp), DIMENSION(1:100) :: rnac = 0.0_wp !< nacelle diameter [m]
	112	REAL(wp), DIMENSION(1:100) :: rr = 63.0_wp !< rotor radius [m]
	113	REAL(wp), DIMENSION(1:100) :: turb_cd_nacelle = 0.85_wp !< drag coefficient for nacelle
	114	REAL(wp), DIMENSION(1:100) :: turb_cd_tower = 1.2_wp !< drag coefficient for tower
[1839]	115
[1819]	116	!
	117	!-- Variables specified in the namelist for speed controller
	118	!-- Default values are from the NREL 5MW research turbine (Jonkman, 2008)
	119
[1912]	120	REAL(wp) :: rated_power = 5296610.0_wp !< rated turbine power [W]
[1839]	121	REAL(wp) :: gear_ratio = 97.0_wp !< Gear ratio from rotor to generator
	122	REAL(wp) :: inertia_rot = 34784179.0_wp !< Inertia of the rotor [kg/m2]
	123	REAL(wp) :: inertia_gen = 534.116_wp !< Inertia of the generator [kg/m2]
	124	REAL(wp) :: gen_eff = 0.944_wp !< Electric efficiency of the generator
	125	REAL(wp) :: gear_eff = 1.0_wp !< Loss between rotor and generator
	126	REAL(wp) :: air_dens = 1.225_wp !< Air density to convert to W [kg/m3]
	127	REAL(wp) :: rated_genspeed = 121.6805_wp !< Rated generator speed [rad/s]
[1912]	128	REAL(wp) :: max_torque_gen = 47402.91_wp !< Maximum of the generator torque [Nm]
[1839]	129	REAL(wp) :: slope2 = 2.332287_wp !< Slope constant for region 2
	130	REAL(wp) :: min_reg2 = 91.21091_wp !< Lower generator speed boundary of region 2 [rad/s]
	131	REAL(wp) :: min_reg15 = 70.16224_wp !< Lower generator speed boundary of region 1.5 [rad/s]
[1912]	132	REAL(wp) :: max_trq_rate = 15000.0_wp !< Max generator torque increase [Nm/s]
	133	REAL(wp) :: pitch_rate = 8.0_wp !< Max pitch rate [degree/s]
[1839]	134
[1912]	135
[1819]	136	!
	137	!-- Variables specified in the namelist for yaw control
	138
[1839]	139	REAL(wp) :: yaw_speed = 0.005236_wp !< speed of the yaw actuator [rad/s]
	140	REAL(wp) :: max_miss = 0.08726_wp !< maximum tolerated yaw missalignment [rad]
	141	REAL(wp) :: min_miss = 0.008726_wp !< minimum yaw missalignment for which the actuator stops [rad]
	142
[1819]	143	!
	144	!-- Set flag for output files TURBINE_PARAMETERS
	145	TYPE file_status
	146	LOGICAL :: opened, opened_before
	147	END TYPE file_status
	148
[1912]	149	TYPE(file_status), DIMENSION(500) :: openfile_turb_mod = &
	150	file_status(.FALSE.,.FALSE.)
[1819]	151
	152	!
	153	!-- Variables for initialization of the turbine model
	154
[1839]	155	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	156	INTEGER(iwp) :: nsegs_max !< maximum number of segments (all turbines, required for allocation of arrays)
	157	INTEGER(iwp) :: nrings_max !< maximum number of rings (all turbines, required for allocation of arrays)
	158	INTEGER(iwp) :: ring !< ring loop index (ring number)
	159	INTEGER(iwp) :: rr_int !<
	160	INTEGER(iwp) :: upper_end !<
[1819]	161
[1839]	162	INTEGER(iwp), DIMENSION(1) :: lct !<
[1819]	163
[1912]	164	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_hub !< index belonging to x-position of the turbine
	165	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: i_smear !< index defining the area for the smearing of the forces (x-direction)
	166	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_hub !< index belonging to y-position of the turbine
	167	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: j_smear !< index defining the area for the smearing of the forces (y-direction)
	168	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_hub !< index belonging to hub height
	169	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: k_smear !< index defining the area for the smearing of the forces (z-direction)
	170	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nrings !< number of rings per turbine
	171	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nsegs_total !< total number of segments per turbine
[1819]	172
[1912]	173	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nsegs !< number of segments per ring and turbine
[1819]	174
[1912]	175	!
	176	!- parameters for the smearing from the rotor to the cartesian grid
[1864]	177	REAL(wp) :: pol_a !< parameter for the polynomial smearing fct
	178	REAL(wp) :: pol_b !< parameter for the polynomial smearing fct
[1912]	179	REAL(wp) :: delta_t_factor !<
[1864]	180	REAL(wp) :: eps_factor !<
[1839]	181	REAL(wp) :: eps_min !<
	182	REAL(wp) :: eps_min2 !<
	183	REAL(wp) :: sqrt_arg !<
[1819]	184
[1839]	185	!
	186	!-- Variables for the calculation of lift and drag coefficients
[1912]	187	REAL(wp), DIMENSION(:), ALLOCATABLE :: ard !<
	188	REAL(wp), DIMENSION(:), ALLOCATABLE :: crd !<
	189	REAL(wp), DIMENSION(:), ALLOCATABLE :: delta_r !< radial segment length
	190	REAL(wp), DIMENSION(:), ALLOCATABLE :: lrd !<
[1864]	191
[1912]	192	REAL(wp) :: accu_cl_cd_tab = 0.1_wp !< Accuracy of the interpolation of
	193	!< the lift and drag coeff [deg]
[1819]	194
[1912]	195	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_tab !< table of the blade drag coefficient
	196	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_tab !< table of the blade lift coefficient
[1819]	197
[1912]	198	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: nac_cd_surf !< 3d field of the tower drag coefficient
	199	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: tow_cd_surf !< 3d field of the nacelle drag coefficient
[1819]	200
	201	!
	202	!-- Variables for the calculation of the forces
[1912]	203
[1839]	204	REAL(wp) :: cur_r !<
[1912]	205	REAL(wp) :: delta_t !< tangential segment length
[1839]	206	REAL(wp) :: phi_rotor !<
	207	REAL(wp) :: pre_factor !<
	208	REAL(wp) :: torque_seg !<
	209	REAL(wp) :: u_int_l !<
	210	REAL(wp) :: u_int_u !<
	211	REAL(wp) :: u_rot !<
	212	REAL(wp) :: v_int_l !<
	213	REAL(wp) :: v_int_u !<
	214	REAL(wp) :: w_int_l !<
	215	REAL(wp) :: w_int_u !<
[1912]	216	!
	217	!- Tendencies from the nacelle and tower thrust
	218	REAL(wp) :: tend_nac_x = 0.0_wp !<
	219	REAL(wp) :: tend_tow_x = 0.0_wp !<
	220	REAL(wp) :: tend_nac_y = 0.0_wp !<
	221	REAL(wp) :: tend_tow_y = 0.0_wp !<
[1819]	222
[1912]	223	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack !<
	224	REAL(wp), DIMENSION(:), ALLOCATABLE :: chord !<
	225	REAL(wp), DIMENSION(:), ALLOCATABLE :: omega_gen !< curr. generator speed
	226	REAL(wp), DIMENSION(:), ALLOCATABLE :: phi_rel !<
	227	REAL(wp), DIMENSION(:), ALLOCATABLE :: pitch_add_old!<
	228	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_total !<
	229	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_rotor !<
	230	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl !<
	231	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd !<
	232	REAL(wp), DIMENSION(:), ALLOCATABLE :: vrel !<
	233	REAL(wp), DIMENSION(:), ALLOCATABLE :: vtheta !<
	234
	235	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rbx, rby, rbz !< coordinates of the blade elements
	236	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rotx, roty, rotz !< normal vectors to the rotor coordinates
	237
	238	!
	239	!- Fields for the interpolation of velocities on the rotor grid
	240	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int !<
	241	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: u_int_1_l !<
	242	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int !<
	243	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: v_int_1_l !<
	244	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int !<
	245	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: w_int_1_l !<
	246
	247	!
	248	!- rotor tendencies on the segments
	249	REAL(wp), DIMENSION(:), ALLOCATABLE :: thrust_seg !<
	250	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_y !<
	251	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_seg_z !<
	252
	253	!
	254	!- rotor tendencies on the rings
	255	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: thrust_ring !<
	256	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_y !<
	257	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: torque_ring_z !<
	258
	259	!
	260	!- rotor tendencies on rotor grids for all turbines
	261	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: thrust !<
	262	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_y !<
	263	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: torque_z !<
	264
	265	!
	266	!- rotor tendencies on coordinate grid
	267	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_x !<
	268	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_y !<
	269	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: rot_tend_z !<
	270	!
	271	!- variables for the rotation of the rotor coordinates
	272	REAL(wp), DIMENSION(1:100,1:3,1:3) :: rot_coord_trans !< matrix for rotation of rotor coordinates
	273
[1839]	274	REAL(wp), DIMENSION(1:3) :: rot_eigen_rad !<
	275	REAL(wp), DIMENSION(1:3) :: rot_eigen_azi !<
	276	REAL(wp), DIMENSION(1:3) :: rot_eigen_nor !<
	277	REAL(wp), DIMENSION(1:3) :: re !<
	278	REAL(wp), DIMENSION(1:3) :: rea !<
	279	REAL(wp), DIMENSION(1:3) :: ren !<
	280	REAL(wp), DIMENSION(1:3) :: rote !<
	281	REAL(wp), DIMENSION(1:3) :: rota !<
	282	REAL(wp), DIMENSION(1:3) :: rotn !<
[1819]	283
[1839]	284	!
	285	!-- Fixed variables for the speed controller
[1819]	286
[1912]	287	LOGICAL :: start_up = .TRUE. !<
[1864]	288
[1912]	289	REAL(wp) :: Fcorner !< corner freq for the controller low pass filter
	290	REAL(wp) :: min_reg25 !< min region 2.5
	291	REAL(wp) :: om_rate !< rotor speed change
	292	REAL(wp) :: slope15 !< slope in region 1.5
	293	REAL(wp) :: slope25 !< slope in region 2.5
	294	REAL(wp) :: trq_rate !< torque change
	295	REAL(wp) :: vs_sysp !<
	296	REAL(wp) :: lp_coeff !< coeff for the controller low pass filter
[1864]	297
	298	REAL(wp), DIMENSION(:), ALLOCATABLE :: omega_gen_old !< last gen. speed
	299	REAL(wp), DIMENSION(:), ALLOCATABLE :: omega_gen_f !< filtered gen. sp
	300	REAL(wp), DIMENSION(:), ALLOCATABLE :: omega_gen_f_old !< last filt. gen. sp
	301	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_gen !< generator torque
	302	REAL(wp), DIMENSION(:), ALLOCATABLE :: torque_gen_old !< last gen. torque
[1819]	303
[1864]	304	REAL(wp), DIMENSION(100) :: omega_rot_l = 0.0_wp !< local rot speed [rad/s]
[1839]	305	!
	306	!-- Fixed variables for the yaw controller
[1819]	307
[1912]	308	REAL(wp), DIMENSION(:) , ALLOCATABLE :: yawdir !< direction to yaw
	309	REAL(wp), DIMENSION(:) , ALLOCATABLE :: phi_yaw_l !< local (cpu) yaw angle
	310	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd30_l !< local (cpu) long running avg of the wd
	311	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wd2_l !< local (cpu) short running avg of the wd
	312	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir !< wind direction at hub
	313	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow !< wind speed at hub
	314	REAL(wp), DIMENSION(:) , ALLOCATABLE :: wdir_l !<
	315	REAL(wp), DIMENSION(:) , ALLOCATABLE :: u_inflow_l !<
	316	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd30 !<
	317	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: wd2 !<
	318	LOGICAL, DIMENSION(1:100) :: doyaw = .FALSE. !<
	319	INTEGER(iwp) :: WDLON !<
	320	INTEGER(iwp) :: WDSHO !<
[1819]	321
	322
[1839]	323	SAVE
[1819]	324
[1839]	325
	326	INTERFACE wtm_parin
	327	MODULE PROCEDURE wtm_parin
	328	END INTERFACE wtm_parin
[1912]	329
	330	INTERFACE wtm_check_parameters
	331	MODULE PROCEDURE wtm_check_parameters
	332	END INTERFACE wtm_check_parameters
[1839]	333
	334	INTERFACE wtm_init_arrays
	335	MODULE PROCEDURE wtm_init_arrays
	336	END INTERFACE wtm_init_arrays
	337
	338	INTERFACE wtm_init
	339	MODULE PROCEDURE wtm_init
	340	END INTERFACE wtm_init
	341
[1912]	342	INTERFACE wtm_read_blade_tables
	343	MODULE PROCEDURE wtm_read_blade_tables
	344	END INTERFACE wtm_read_blade_tables
[1839]	345
[1819]	346	INTERFACE wtm_forces
	347	MODULE PROCEDURE wtm_forces
[1839]	348	MODULE PROCEDURE wtm_yawcontrol
[1819]	349	END INTERFACE wtm_forces
[1864]	350
	351	INTERFACE wtm_rotate_rotor
	352	MODULE PROCEDURE wtm_rotate_rotor
	353	END INTERFACE wtm_rotate_rotor
	354
	355	INTERFACE wtm_speed_control
	356	MODULE PROCEDURE wtm_init_speed_control
	357	MODULE PROCEDURE wtm_speed_control
	358	END INTERFACE wtm_speed_control
[1819]	359
	360	INTERFACE wtm_tendencies
	361	MODULE PROCEDURE wtm_tendencies
	362	MODULE PROCEDURE wtm_tendencies_ij
	363	END INTERFACE wtm_tendencies
[1864]	364
	365
[1912]	366	PUBLIC wtm_check_parameters, wtm_forces, wtm_init, wtm_init_arrays, &
	367	wtm_parin, wtm_tendencies, wtm_tendencies_ij, wind_turbine
[1819]	368
	369	CONTAINS
	370
	371
	372	!------------------------------------------------------------------------------!
	373	! Description:
	374	! ------------
[1839]	375	!> Parin for &wind_turbine_par for wind turbine model
[1819]	376	!------------------------------------------------------------------------------!
[1839]	377	SUBROUTINE wtm_parin
[1819]	378
	379
	380	IMPLICIT NONE
[1912]	381
	382	INTEGER(iwp) :: ierrn !<
[1819]	383
[1839]	384	CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file
	385
	386	NAMELIST /wind_turbine_par/ air_dens, dtow, gear_eff, gear_ratio, &
[1864]	387	gen_eff, inertia_gen, inertia_rot, max_miss, &
[1839]	388	max_torque_gen, max_trq_rate, min_miss, &
[1864]	389	min_reg15, min_reg2, nairfoils, nturbines, &
[1912]	390	omega_rot, phi_yaw, pitch_add, pitch_control,&
[1839]	391	rated_genspeed, rated_power, rcx, rcy, rcz, &
	392	rnac, rr, segment_length, segment_width, &
[1864]	393	slope2, speed_control, tilt, time_turbine_on,&
[1912]	394	turb_cd_nacelle, turb_cd_tower, &
[1839]	395	yaw_control, yaw_speed
	396
[1819]	397	!
[1839]	398	!-- Try to find wind turbine model package
	399	REWIND ( 11 )
	400	line = ' '
	401	DO WHILE ( INDEX( line, '&wind_turbine_par' ) == 0 )
	402	READ ( 11, '(A)', END=10 ) line
	403	ENDDO
	404	BACKSPACE ( 11 )
	405
	406	!
	407	!-- Read user-defined namelist
[1912]	408	READ ( 11, wind_turbine_par, IOSTAT=ierrn )
	409
	410	IF ( ierrn < 0 ) THEN
	411	message_string = 'errors in \$wind_turbine_par'
	412	CALL message( 'wtm_parin', 'PA0???', 1, 2, 0, 6, 0 )
	413	ENDIF
	414
[1839]	415	!
	416	!-- Set flag that indicates that the wind turbine model is switched on
	417	wind_turbine = .TRUE.
	418
[1912]	419	10 CONTINUE ! TBD Change from continue, mit ierrn machen
[1839]	420
	421
	422	END SUBROUTINE wtm_parin
	423
[1912]	424	SUBROUTINE wtm_check_parameters
	425
	426
	427	IMPLICIT NONE
	428
	429	IF ( ( .NOT.speed_control ) .AND. pitch_control ) THEN
	430	message_string = 'pitch_control = .TRUE. requires '// &
	431	'speed_control = .TRUE.'
	432	CALL message( 'wtm_check_parameters', 'PA0???', 1, 2, 0, 6, 0 )
	433	ENDIF
	434
	435	IF ( ANY( omega_rot(1:nturbines) <= 0.0 ) ) THEN
	436	message_string = 'omega_rot <= 0.0, Please set omega_rot to ' // &
	437	'a value larger than zero'
	438	CALL message( 'wtm_check_parameters', 'PA0???', 1, 2, 0, 6, 0 )
	439	ENDIF
	440
	441
	442	IF ( ANY( rcx(1:nturbines) == 9999999.9_wp ) .OR. &
	443	ANY( rcy(1:nturbines) == 9999999.9_wp ) .OR. &
	444	ANY( rcz(1:nturbines) == 9999999.9_wp ) ) THEN
	445
	446	message_string = 'rcx, rcy, rcz ' // &
	447	'have to be given for each turbine.'
	448	CALL message( 'wtm_check_parameters', 'PA0???', 1, 2, 0, 6, 0 )
	449
	450	ENDIF
	451
	452
	453	END SUBROUTINE wtm_check_parameters
	454
	455
[1839]	456	!------------------------------------------------------------------------------!
	457	! Description:
	458	! ------------
	459	!> Allocate wind turbine model arrays
	460	!------------------------------------------------------------------------------!
	461	SUBROUTINE wtm_init_arrays
	462
	463
	464	IMPLICIT NONE
	465
[1864]	466	REAL(wp) :: delta_r_factor !<
	467	REAL(wp) :: delta_r_init !<
	468
[1839]	469	!
	470	!-- To be able to allocate arrays with dimension of rotor rings and segments,
[1819]	471	!-- the maximum possible numbers of rings and segments have to be calculated:
	472
	473	ALLOCATE( nrings(1:nturbines) )
	474	ALLOCATE( delta_r(1:nturbines) )
	475
	476	nrings(:) = 0
	477	delta_r(:) = 0.0_wp
	478
	479	!
	480	!-- Thickness (radial) of each ring and length (tangential) of each segment:
	481	delta_r_factor = segment_width
	482	delta_t_factor = segment_length
	483	delta_r_init = delta_r_factor * MIN( dx, dy, dz)
	484	delta_t = delta_t_factor * MIN( dx, dy, dz)
	485
	486	DO inot = 1, nturbines
	487	!
	488	!-- Determine number of rings:
	489	nrings(inot) = NINT( rr(inot) / delta_r_init )
	490
	491	delta_r(inot) = rr(inot) / nrings(inot)
	492
	493	ENDDO
	494
	495	nrings_max = MAXVAL(nrings)
	496
	497	ALLOCATE( nsegs(1:nrings_max,1:nturbines) )
	498	ALLOCATE( nsegs_total(1:nturbines) )
	499
	500	nsegs(:,:) = 0
	501	nsegs_total(:) = 0
	502
	503
	504	DO inot = 1, nturbines
	505	DO ring = 1, nrings(inot)
	506	!
	507	!-- Determine number of segments for each ring:
[1839]	508	nsegs(ring,inot) = MAX( 8, CEILING( delta_r_factor * pi * &
	509	( 2.0_wp * ring - 1.0_wp ) / &
	510	delta_t_factor ) )
[1819]	511	ENDDO
	512	!
	513	!-- Total sum of all rotor segments:
[1839]	514	nsegs_total(inot) = SUM( nsegs(:,inot) )
[1819]	515
	516	ENDDO
	517
	518	!
	519	!-- Maximum number of segments per ring:
	520	nsegs_max = MAXVAL(nsegs)
	521
[1864]	522	!!
	523	!!-- TODO: Folgendes im Header ausgeben!
	524	! IF ( myid == 0 ) THEN
	525	! PRINT*, 'nrings(1) = ', nrings(1)
	526	! PRINT*, '--------------------------------------------------'
	527	! PRINT*, 'nsegs(:,1) = ', nsegs(:,1)
	528	! PRINT*, '--------------------------------------------------'
	529	! PRINT*, 'nrings_max = ', nrings_max
	530	! PRINT*, 'nsegs_max = ', nsegs_max
	531	! PRINT*, 'nsegs_total(1) = ', nsegs_total(1)
	532	! ENDIF
[1819]	533
	534
	535	!
	536	!-- Allocate 1D arrays (dimension = number of turbines)
	537	ALLOCATE( i_hub(1:nturbines) )
	538	ALLOCATE( i_smear(1:nturbines) )
	539	ALLOCATE( j_hub(1:nturbines) )
	540	ALLOCATE( j_smear(1:nturbines) )
	541	ALLOCATE( k_hub(1:nturbines) )
	542	ALLOCATE( k_smear(1:nturbines) )
	543	ALLOCATE( torque_total(1:nturbines) )
[1912]	544	ALLOCATE( thrust_rotor(1:nturbines) )
[1819]	545
	546	!
	547	!-- Allocation of the 1D arrays for speed pitch_control
	548	ALLOCATE( omega_gen(1:nturbines) )
[1864]	549	ALLOCATE( omega_gen_old(1:nturbines) )
[1819]	550	ALLOCATE( omega_gen_f(1:nturbines) )
	551	ALLOCATE( omega_gen_f_old(1:nturbines) )
[1912]	552	ALLOCATE( pitch_add_old(1:nturbines) )
[1819]	553	ALLOCATE( torque_gen(1:nturbines) )
	554	ALLOCATE( torque_gen_old(1:nturbines) )
	555
	556	!
	557	!-- Allocation of the 1D arrays for yaw control
	558	ALLOCATE( yawdir(1:nturbines) )
	559	ALLOCATE( u_inflow(1:nturbines) )
	560	ALLOCATE( wdir(1:nturbines) )
	561	ALLOCATE( u_inflow_l(1:nturbines) )
	562	ALLOCATE( wdir_l(1:nturbines) )
	563	ALLOCATE( phi_yaw_l(1:nturbines) )
	564
	565	!
	566	!-- Allocate 1D arrays (dimension = number of rotor segments)
	567	ALLOCATE( alpha_attack(1:nsegs_max) )
	568	ALLOCATE( chord(1:nsegs_max) )
	569	ALLOCATE( phi_rel(1:nsegs_max) )
	570	ALLOCATE( thrust_seg(1:nsegs_max) )
	571	ALLOCATE( torque_seg_y(1:nsegs_max) )
	572	ALLOCATE( torque_seg_z(1:nsegs_max) )
[1839]	573	ALLOCATE( turb_cd(1:nsegs_max) )
	574	ALLOCATE( turb_cl(1:nsegs_max) )
[1819]	575	ALLOCATE( vrel(1:nsegs_max) )
	576	ALLOCATE( vtheta(1:nsegs_max) )
	577
	578	!
	579	!-- Allocate 2D arrays (dimension = number of rotor rings and segments)
	580	ALLOCATE( rbx(1:nrings_max,1:nsegs_max) )
	581	ALLOCATE( rby(1:nrings_max,1:nsegs_max) )
	582	ALLOCATE( rbz(1:nrings_max,1:nsegs_max) )
	583	ALLOCATE( thrust_ring(1:nrings_max,1:nsegs_max) )
	584	ALLOCATE( torque_ring_y(1:nrings_max,1:nsegs_max) )
	585	ALLOCATE( torque_ring_z(1:nrings_max,1:nsegs_max) )
	586
	587	!
	588	!-- Allocate additional 2D arrays
	589	ALLOCATE( rotx(1:nturbines,1:3) )
	590	ALLOCATE( roty(1:nturbines,1:3) )
	591	ALLOCATE( rotz(1:nturbines,1:3) )
	592
	593	!
	594	!-- Allocate 3D arrays (dimension = number of grid points)
[1912]	595	ALLOCATE( nac_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	596	ALLOCATE( rot_tend_x(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	597	ALLOCATE( rot_tend_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	598	ALLOCATE( rot_tend_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	599	ALLOCATE( thrust(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	600	ALLOCATE( torque_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	601	ALLOCATE( torque_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1912]	602	ALLOCATE( tow_cd_surf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1819]	603
	604	!
	605	!-- Allocate additional 3D arrays
	606	ALLOCATE( u_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	607	ALLOCATE( u_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	608	ALLOCATE( v_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	609	ALLOCATE( v_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	610	ALLOCATE( w_int(1:nturbines,1:nrings_max,1:nsegs_max) )
	611	ALLOCATE( w_int_1_l(1:nturbines,1:nrings_max,1:nsegs_max) )
	612
	613	!
	614	!-- All of the arrays are initialized with a value of zero:
	615	i_hub(:) = 0
	616	i_smear(:) = 0
	617	j_hub(:) = 0
	618	j_smear(:) = 0
	619	k_hub(:) = 0
	620	k_smear(:) = 0
[1912]	621
[1819]	622	torque_total(:) = 0.0_wp
[1912]	623	thrust_rotor(:) = 0.0_wp
[1819]	624
	625	omega_gen(:) = 0.0_wp
[1864]	626	omega_gen_old(:) = 0.0_wp
[1819]	627	omega_gen_f(:) = 0.0_wp
	628	omega_gen_f_old(:) = 0.0_wp
[1912]	629	pitch_add_old(:) = 0.0_wp
[1819]	630	torque_gen(:) = 0.0_wp
	631	torque_gen_old(:) = 0.0_wp
	632
	633	yawdir(:) = 0.0_wp
	634	wdir(:) = 0.0_wp
	635	u_inflow(:) = 0.0_wp
	636
	637	!
	638	!-- Allocate 1D arrays (dimension = number of rotor segments)
	639	alpha_attack(:) = 0.0_wp
	640	chord(:) = 0.0_wp
	641	phi_rel(:) = 0.0_wp
	642	thrust_seg(:) = 0.0_wp
	643	torque_seg_y(:) = 0.0_wp
	644	torque_seg_z(:) = 0.0_wp
[1864]	645	turb_cd(:) = 0.0_wp
	646	turb_cl(:) = 0.0_wp
[1819]	647	vrel(:) = 0.0_wp
	648	vtheta(:) = 0.0_wp
	649
	650	rbx(:,:) = 0.0_wp
	651	rby(:,:) = 0.0_wp
	652	rbz(:,:) = 0.0_wp
	653	thrust_ring(:,:) = 0.0_wp
	654	torque_ring_y(:,:) = 0.0_wp
	655	torque_ring_z(:,:) = 0.0_wp
	656
	657	rotx(:,:) = 0.0_wp
	658	roty(:,:) = 0.0_wp
	659	rotz(:,:) = 0.0_wp
[1864]	660	turb_cl_tab(:,:) = 0.0_wp
	661	turb_cd_tab(:,:) = 0.0_wp
[1819]	662
[1912]	663	nac_cd_surf(:,:,:) = 0.0_wp
	664	rot_tend_x(:,:,:) = 0.0_wp
	665	rot_tend_y(:,:,:) = 0.0_wp
	666	rot_tend_z(:,:,:) = 0.0_wp
[1819]	667	thrust(:,:,:) = 0.0_wp
	668	torque_y(:,:,:) = 0.0_wp
	669	torque_z(:,:,:) = 0.0_wp
[1912]	670	tow_cd_surf(:,:,:) = 0.0_wp
[1819]	671
	672	u_int(:,:,:) = 0.0_wp
	673	u_int_1_l(:,:,:) = 0.0_wp
	674	v_int(:,:,:) = 0.0_wp
	675	v_int_1_l(:,:,:) = 0.0_wp
	676	w_int(:,:,:) = 0.0_wp
	677	w_int_1_l(:,:,:) = 0.0_wp
	678
	679
[1839]	680	END SUBROUTINE wtm_init_arrays
[1819]	681
	682
	683	!------------------------------------------------------------------------------!
	684	! Description:
	685	! ------------
[1839]	686	!> Initialization of the wind turbine model
[1819]	687	!------------------------------------------------------------------------------!
[1839]	688	SUBROUTINE wtm_init
[1819]	689
[1839]	690
[1819]	691	IMPLICIT NONE
	692
	693	INTEGER(iwp) :: i !< running index
	694	INTEGER(iwp) :: j !< running index
	695	INTEGER(iwp) :: k !< running index
[1864]	696
[1819]	697	!
[1864]	698	!-- Help variables for the smearing function
	699	REAL(wp) :: eps_kernel !<
	700
[1839]	701	!
[1864]	702	!-- Help variables for calculation of the tower drag
	703	INTEGER(iwp) :: tower_n !<
	704	INTEGER(iwp) :: tower_s !<
[1839]	705	!
[1864]	706	!-- Help variables for the calulaction of the nacelle drag
	707	INTEGER(iwp) :: i_ip !<
	708	INTEGER(iwp) :: i_ipg !<
	709
	710	REAL(wp) :: yvalue
	711	REAL(wp) :: dy_int !<
	712	REAL(wp) :: dz_int !<
	713
	714	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: circle_points !<
	715
	716	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacb !<
	717	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacl !<
	718	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nacr !<
	719	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: index_nact !<
	720
	721	ALLOCATE( index_nacb(1:nturbines) )
	722	ALLOCATE( index_nacl(1:nturbines) )
	723	ALLOCATE( index_nacr(1:nturbines) )
	724	ALLOCATE( index_nact(1:nturbines) )
[1819]	725
	726
[1864]	727	IF ( speed_control) THEN
	728
	729	CALL wtm_speed_control
	730
	731	ENDIF
	732
[1839]	733	!
[1819]	734	!------------------------------------------------------------------------------!
[1839]	735	!-- Calculation of parameters for the regularization kernel
	736	!-- (smearing of the forces)
[1819]	737	!------------------------------------------------------------------------------!
	738	!
[1839]	739	!-- In the following, some of the required parameters for the smearing will
	740	!-- be calculated:
[1819]	741
[1839]	742	!-- The kernel is set equal to twice the grid spacing which has turned out to
	743	!-- be a reasonable value (see e.g. Troldborg et al. (2013), Wind Energy,
[1819]	744	!-- DOI: 10.1002/we.1608):
	745	eps_kernel = 2.0_wp * dx
	746	!
[1839]	747	!-- The zero point (eps_min) of the polynomial function must be the following
	748	!-- if the integral of the polynomial function (for values < eps_min) shall
	749	!-- be equal to the integral of the Gaussian function used before:
	750	eps_min = ( 105.0_wp / 32.0_wp )*( 1.0_wp / 3.0_wp ) &
	751	pi*( 1.0_wp / 6.0_wp ) eps_kernel
[1819]	752	!
	753	!-- Square of eps_min:
	754	eps_min2 = eps_min**2
	755	!
	756	!-- Parameters in the polynomial function:
[1864]	757	pol_a = 1.0_wp / eps_min**4
	758	pol_b = 2.0_wp / eps_min**2
[1819]	759	!
[1839]	760	!-- Normalization factor which is the inverse of the integral of the smearing
	761	!-- function:
	762	eps_factor = 105.0_wp / ( 32.0_wp * pi * eps_min**3 )
	763
[1864]	764	!-- Change tilt angle to rad:
	765	tilt = tilt * pi / 180.0_wp
	766
[1819]	767	!
[1864]	768	!-- Change yaw angle to rad:
	769	phi_yaw(:) = phi_yaw(:) * pi / 180.0_wp
[1819]	770
[1864]	771
[1819]	772	DO inot = 1, nturbines
	773	!
[1864]	774	!-- Rotate the rotor coordinates in case yaw and tilt are defined
	775	CALL wtm_rotate_rotor( inot )
[1819]	776
	777	!
	778	!-- Determine the indices of the hub height
	779	i_hub(inot) = INT( rcx(inot) / dx )
	780	j_hub(inot) = INT( ( rcy(inot) + 0.5_wp * dy ) / dy )
	781	k_hub(inot) = INT( ( rcz(inot) + 0.5_wp * dz ) / dz )
	782
	783	!
	784	!-- Determining the area to which the smearing of the forces is applied.
[1839]	785	!-- As smearing now is effectively applied only for distances smaller than
	786	!-- eps_min, the smearing area can be further limited and regarded as a
	787	!-- function of eps_min:
[1819]	788	i_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dx )
	789	j_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dy )
	790	k_smear(inot) = CEILING( ( rr(inot) + eps_min ) / dz )
[1864]	791
[1819]	792	ENDDO
	793
	794	!
	795	!------------------------------------------------------------------------------!
[1839]	796	!-- Determine the area within each grid cell that overlaps with the area
	797	!-- of the nacelle and the tower (needed for calculation of the forces)
[1819]	798	!------------------------------------------------------------------------------!
	799	!
	800	!-- Note: so far this is only a 2D version, in that the mean flow is
	801	!-- perpendicular to the rotor area.
	802
	803	!
	804	!-- Allocation of the array containing information on the intersection points
	805	!-- between rotor disk and the numerical grid:
	806	upper_end = ( ny + 1 ) * 10000
	807
	808	ALLOCATE( circle_points(1:2,1:upper_end) )
[1839]	809
	810	circle_points(:,:) = 0.0_wp
[1819]	811
[1839]	812
	813	DO inot = 1, nturbines ! loop over number of turbines
[1819]	814	!
[1839]	815	!-- Determine the grid index (u-grid) that corresponds to the location of
	816	!-- the rotor center (reduces the amount of calculations in the case that
	817	!-- the mean flow is perpendicular to the rotor area):
[1819]	818	i = i_hub(inot)
	819
	820	!
[1839]	821	!-- Determine the left and the right edge of the nacelle (corresponding
	822	!-- grid point indices):
[1819]	823	index_nacl(inot) = INT( ( rcy(inot) - rnac(inot) + 0.5_wp * dy ) / dy )
	824	index_nacr(inot) = INT( ( rcy(inot) + rnac(inot) + 0.5_wp * dy ) / dy )
	825	!
[1839]	826	!-- Determine the bottom and the top edge of the nacelle (corresponding
	827	!-- grid point indices).The grid point index has to be increased by 1, as
	828	!-- the first level for the u-component (index 0) is situated below the
	829	!-- surface. All points between z=0 and z=dz/s would already be contained
	830	!-- in grid box 1.
[1819]	831	index_nacb(inot) = INT( ( rcz(inot) - rnac(inot) ) / dz ) + 1
	832	index_nact(inot) = INT( ( rcz(inot) + rnac(inot) ) / dz ) + 1
	833
	834	!
	835	!-- Determine the indices of the grid boxes containing the left and
[1864]	836	!-- the right boundaries of the tower:
[1819]	837	tower_n = ( rcy(inot) + 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	838	tower_s = ( rcy(inot) - 0.5_wp * dtow(inot) - 0.5_wp * dy ) / dy
	839
	840	!
	841	!-- Determine the fraction of the grid box area overlapping with the tower
[1864]	842	!-- area and multiply it with the drag of the tower:
[1839]	843	IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1819]	844
	845	DO j = nys, nyn
	846	!
[1839]	847	!-- Loop from south to north boundary of tower
	848	IF ( ( j >= tower_s ) .AND. ( j <= tower_n ) ) THEN
	849
[1819]	850	DO k = nzb, nzt
	851
	852	IF ( k == k_hub(inot) ) THEN
	853	IF ( tower_n - tower_s >= 1 ) THEN
[1839]	854	!
[1819]	855	!-- leftmost and rightmost grid box:
	856	IF ( j == tower_s ) THEN
[1912]	857	tow_cd_surf(k,j,i) = ( rcz(inot) - &
	858	( k_hub(inot) * dz - 0.5_wp * dz ) ) * & ! extension in z-direction
	859	( ( tower_s + 1.0_wp + 0.5_wp ) * dy - &
	860	( rcy(inot) - 0.5_wp * dtow(inot) ) ) * & ! extension in y-direction
	861	turb_cd_tower(inot)
[1819]	862	ELSEIF ( j == tower_n ) THEN
[1912]	863	tow_cd_surf(k,j,i) = ( rcz(inot) - &
	864	( k_hub(inot) * dz - 0.5_wp * dz ) ) * & ! extension in z-direction
	865	( ( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	866	( tower_n + 0.5_wp ) * dy ) * & ! extension in y-direction
	867	turb_cd_tower(inot)
[1819]	868	!
	869	!-- grid boxes inbetween
[1912]	870	!-- (where tow_cd_surf = grid box area):
[1819]	871	ELSE
[1912]	872	tow_cd_surf(k,j,i) = ( rcz(inot) - &
	873	( k_hub(inot) * dz - 0.5_wp * dz ) ) * &
	874	dy * turb_cd_tower(inot)
[1819]	875	ENDIF
	876	!
	877	!-- tower lies completely within one grid box:
	878	ELSE
[1912]	879	tow_cd_surf(k,j,i) = ( rcz(inot) - &
[1839]	880	( k_hub(inot) * dz - 0.5_wp * dz ) ) * &
[1912]	881	dtow(inot) * turb_cd_tower(inot)
[1819]	882	ENDIF
[1839]	883	!
	884	!-- In case that k is smaller than k_hub the following actions
	885	!-- are carried out:
[1819]	886	ELSEIF ( k < k_hub(inot) ) THEN
	887
[1839]	888	IF ( ( tower_n - tower_s ) >= 1 ) THEN
	889	!
[1819]	890	!-- leftmost and rightmost grid box:
	891	IF ( j == tower_s ) THEN
[1912]	892	tow_cd_surf(k,j,i) = dz * ( &
[1839]	893	( tower_s + 1 + 0.5_wp ) * dy - &
	894	( rcy(inot) - 0.5_wp * dtow(inot) ) &
[1912]	895	) * turb_cd_tower(inot)
[1819]	896	ELSEIF ( j == tower_n ) THEN
[1912]	897	tow_cd_surf(k,j,i) = dz * ( &
[1839]	898	( rcy(inot) + 0.5_wp * dtow(inot) ) - &
	899	( tower_n + 0.5_wp ) * dy &
[1912]	900	) * turb_cd_tower(inot)
[1839]	901	!
	902	!-- grid boxes inbetween
[1912]	903	!-- (where tow_cd_surf = grid box area):
[1819]	904	ELSE
[1912]	905	tow_cd_surf(k,j,i) = dz * dy * turb_cd_tower(inot)
[1819]	906	ENDIF
[1839]	907	!
[1819]	908	!-- tower lies completely within one grid box:
	909	ELSE
[1912]	910	tow_cd_surf(k,j,i) = dz * dtow(inot) * &
	911	turb_cd_tower(inot)
[1839]	912	ENDIF ! end if larger than grid box
	913
	914	ENDIF ! end if k == k_hub
	915
	916	ENDDO ! end loop over k
	917
	918	ENDIF ! end if inside north and south boundary of tower
	919
	920	ENDDO ! end loop over j
	921
	922	ENDIF ! end if hub inside domain + ghostpoints
[1819]	923
[1839]	924
[1912]	925	CALL exchange_horiz( tow_cd_surf, nbgp )
[1819]	926
[1839]	927	!
[1864]	928	!-- Calculation of the nacelle area
	929	!-- CAUTION: Currently disabled due to segmentation faults on the FLOW HPC
	930	!-- cluster (Oldenburg)
	931	!!
	932	!!-- Tabulate the points on the circle that are required in the following for
	933	!!-- the calculation of the Riemann integral (node points; they are called
	934	!!-- circle_points in the following):
	935	!
	936	! dy_int = dy / 10000.0_wp
	937	!
	938	! DO i_ip = 1, upper_end
	939	! yvalue = dy_int * ( i_ip - 0.5_wp ) + 0.5_wp * dy !<--- segmentation fault
	940	! sqrt_arg = rnac(inot)2 - ( yvalue - rcy(inot) )2 !<--- segmentation fault
	941	! IF ( sqrt_arg >= 0.0_wp ) THEN
	942	!!
	943	!!-- bottom intersection point
	944	! circle_points(1,i_ip) = rcz(inot) - SQRT( sqrt_arg )
	945	!!
	946	!!-- top intersection point
	947	! circle_points(2,i_ip) = rcz(inot) + SQRT( sqrt_arg ) !<--- segmentation fault
	948	! ELSE
	949	! circle_points(:,i_ip) = -111111 !<--- segmentation fault
	950	! ENDIF
	951	! ENDDO
	952	!
	953	!
	954	! DO j = nys, nyn
	955	!!
	956	!!-- In case that the grid box is located completely outside the nacelle
	957	!!-- (y) it can automatically be stated that there is no overlap between
	958	!!-- the grid box and the nacelle and consequently we can set
[1912]	959	!!-- nac_cd_surf(:,j,i) = 0.0:
[1864]	960	! IF ( ( j >= index_nacl(inot) ) .AND. ( j <= index_nacr(inot) ) ) THEN
	961	! DO k = nzb+1, nzt
	962	!!
	963	!!-- In case that the grid box is located completely outside the
	964	!!-- nacelle (z) it can automatically be stated that there is no
	965	!!-- overlap between the grid box and the nacelle and consequently
[1912]	966	!!-- we can set nac_cd_surf(k,j,i) = 0.0:
[1864]	967	! IF ( ( k >= index_nacb(inot) ) .OR. &
	968	! ( k <= index_nact(inot) ) ) THEN
	969	!!
	970	!!-- For all other cases Riemann integrals are calculated.
	971	!!-- Here, the points on the circle that have been determined
	972	!!-- above are used in order to calculate the overlap between the
	973	!!-- gridbox and the nacelle area (area approached by 10000
	974	!!-- rectangulars dz_int * dy_int):
	975	! DO i_ipg = 1, 10000
	976	! dz_int = dz
	977	! i_ip = j * 10000 + i_ipg
	978	!!
	979	!!-- Determine the vertical extension dz_int of the circle
	980	!!-- within the current grid box:
	981	! IF ( ( circle_points(2,i_ip) < zw(k) ) .AND. & !<--- segmentation fault
	982	! ( circle_points(2,i_ip) >= zw(k-1) ) ) THEN
	983	! dz_int = dz_int - & !<--- segmentation fault
	984	! ( zw(k) - circle_points(2,i_ip) )
	985	! ENDIF
	986	! IF ( ( circle_points(1,i_ip) <= zw(k) ) .AND. & !<--- segmentation fault
	987	! ( circle_points(1,i_ip) > zw(k-1) ) ) THEN
	988	! dz_int = dz_int - &
	989	! ( circle_points(1,i_ip) - zw(k-1) )
	990	! ENDIF
	991	! IF ( zw(k-1) > circle_points(2,i_ip) ) THEN
	992	! dz_int = 0.0_wp
	993	! ENDIF
	994	! IF ( zw(k) < circle_points(1,i_ip) ) THEN
	995	! dz_int = 0.0_wp
	996	! ENDIF
	997	! IF ( ( nxlg <= i ) .AND. ( nxrg >= i ) ) THEN
[1912]	998	! nac_cd_surf(k,j,i) = nac_cd_surf(k,j,i) + & !<--- segmentation fault
	999	! dy_int * dz_int * turb_cd_nacelle(inot)
[1864]	1000	! ENDIF
	1001	! ENDDO
	1002	! ENDIF
	1003	! ENDDO
	1004	! ENDIF
[1819]	1005	!
[1864]	1006	! ENDDO
[1819]	1007	!
[1912]	1008	! CALL exchange_horiz( nac_cd_surf, nbgp ) !<--- segmentation fault
[1819]	1009
[1864]	1010	ENDDO ! end of loop over turbines
[1819]	1011
[1912]	1012	tow_cd_surf = tow_cd_surf / ( dx * dy * dz ) ! Normalize tower drag
	1013	nac_cd_surf = nac_cd_surf / ( dx * dy * dz ) ! Normalize nacelle drag
[1819]	1014
[1912]	1015	CALL wtm_read_blade_tables
[1839]	1016
[1864]	1017	END SUBROUTINE wtm_init
	1018
	1019
[1819]	1020	!------------------------------------------------------------------------------!
[1864]	1021	! Description:
	1022	! ------------
	1023	!> Read in layout of the rotor blade , the lift and drag tables
	1024	!> and the distribution of lift and drag tables along the blade
[1819]	1025	!------------------------------------------------------------------------------!
[1912]	1026	!
	1027	SUBROUTINE wtm_read_blade_tables
[1819]	1028
[1839]	1029
[1864]	1030	IMPLICIT NONE
	1031
	1032	INTEGER(iwp) :: ii !< running index
	1033	INTEGER(iwp) :: jj !< running index
[1843]	1034
[1864]	1035	INTEGER(iwp) :: ierrn !<
	1036
	1037	CHARACTER(200) :: chmess !< Read in string
[1839]	1038
[1864]	1039	INTEGER(iwp) :: dlen !< no. rows of local table
	1040	INTEGER(iwp) :: dlenbl !< no. rows of cd, cl table
	1041	INTEGER(iwp) :: ialpha !< table position of current alpha value
	1042	INTEGER(iwp) :: iialpha !<
	1043	INTEGER(iwp) :: iir !<
	1044	INTEGER(iwp) :: radres !< radial resolution
	1045	INTEGER(iwp) :: t1 !< no. of airfoil
	1046	INTEGER(iwp) :: t2 !< no. of airfoil
	1047	INTEGER(iwp) :: trow !<
	1048	INTEGER(iwp) :: dlenbl_int !< no. rows of interpolated cd, cl tables
[1839]	1049
[1864]	1050	REAL(wp) :: alpha_attack_i !<
	1051	REAL(wp) :: weight_a !<
	1052	REAL(wp) :: weight_b !<
[1839]	1053
[1864]	1054	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint1 !<
	1055	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ttoint2 !<
[1839]	1056
[1864]	1057	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel1 !<
	1058	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cd_sel2 !<
	1059	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel1 !<
	1060	REAL(wp), DIMENSION(:), ALLOCATABLE :: turb_cl_sel2 !<
	1061	REAL(wp), DIMENSION(:), ALLOCATABLE :: read_cl_cd !< read in var array
[1839]	1062
[1864]	1063	REAL(wp), DIMENSION(:), ALLOCATABLE :: alpha_attack_tab !<
	1064	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad1 !<
	1065	REAL(wp), DIMENSION(:), ALLOCATABLE :: trad2 !<
	1066	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cd_table !<
	1067	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: turb_cl_table !<
[1839]	1068
[1864]	1069	ALLOCATE ( read_cl_cd(1:2*nairfoils+1) )
[1839]	1070
[1864]	1071	!
	1072	!-- Read in the distribution of lift and drag tables along the blade, the
	1073	!-- layout of the rotor blade and the lift and drag tables:
	1074
	1075	OPEN ( 201, FILE='WTM_DATA', STATUS='OLD', FORM='FORMATTED', IOSTAT=ierrn )
	1076
	1077	IF ( ierrn /= 0 ) THEN
	1078	message_string = 'file WTM_DATA does not exist'
	1079	CALL message( 'wtm_init', 'PA0???', 1, 2, 0, 6, 0 )
	1080	ENDIF
	1081	!
	1082	!-- Read distribution table:
	1083
	1084	dlen = 0
	1085
	1086	READ ( 201, '(3/)' )
	1087
	1088	rloop3: DO
	1089	READ ( 201, *, IOSTAT=ierrn ) chmess
	1090	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop3
	1091	dlen = dlen + 1
	1092	ENDDO rloop3
	1093
	1094	ALLOCATE( trad1(1:dlen), trad2(1:dlen), ttoint1(1:dlen), ttoint2(1:dlen))
	1095
	1096	DO jj = 1,dlen+1
	1097	BACKSPACE ( 201, IOSTAT=ierrn )
	1098	ENDDO
	1099
	1100	DO jj = 1,dlen
	1101	READ ( 201, * ) trad1(jj), trad2(jj), ttoint1(jj), ttoint2(jj)
	1102	ENDDO
	1103
	1104	!
	1105	!-- Read layout table:
	1106
[1839]	1107	dlen = 0
[1864]	1108
[1839]	1109	READ ( 201, '(3/)')
[1864]	1110
[1843]	1111	rloop1: DO
[1864]	1112	READ ( 201, *, IOSTAT=ierrn ) chmess
	1113	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop1
	1114	dlen = dlen + 1
[1843]	1115	ENDDO rloop1
[1864]	1116
[1839]	1117	ALLOCATE( lrd(1:dlen), ard(1:dlen), crd(1:dlen) )
[1864]	1118	DO jj = 1, dlen+1
	1119	BACKSPACE ( 201, IOSTAT=ierrn )
	1120	ENDDO
	1121	DO jj = 1, dlen
	1122	READ ( 201, * ) lrd(jj), ard(jj), crd(jj)
[1839]	1123	ENDDO
[1819]	1124
[1864]	1125	!
	1126	!-- Read tables (turb_cl(alpha),turb_cd(alpha) for the different profiles:
[1819]	1127
[1864]	1128	dlen = 0
	1129
[1839]	1130	READ ( 201, '(3/)' )
[1864]	1131
[1843]	1132	rloop2: DO
[1864]	1133	READ ( 201, *, IOSTAT=ierrn ) chmess
	1134	IF ( ierrn < 0 .OR. chmess == '#' .OR. chmess == '') EXIT rloop2
	1135	dlen = dlen + 1
	1136	ENDDO rloop2
	1137
[1912]	1138	ALLOCATE( alpha_attack_tab(1:dlen), turb_cl_table(1:dlen,1:nairfoils), &
[1864]	1139	turb_cd_table(1:dlen,1:nairfoils) )
	1140
	1141	DO jj = 1,dlen+1
	1142	BACKSPACE ( 201, IOSTAT=ierrn )
	1143	ENDDO
	1144
[1839]	1145	DO jj = 1,dlen
[1864]	1146	READ ( 201, * ) read_cl_cd
	1147	alpha_attack_tab(jj) = read_cl_cd(1)
	1148	DO ii= 1, nairfoils
	1149	turb_cl_table(jj,ii) = read_cl_cd(ii*2)
	1150	turb_cd_table(jj,ii) = read_cl_cd(ii*2+1)
[1819]	1151	ENDDO
[1864]	1152
[1839]	1153	ENDDO
[1864]	1154
	1155	dlenbl = dlen
	1156
[1839]	1157	CLOSE ( 201 )
[1819]	1158
[1864]	1159	!
	1160	!-- For each possible radial position (resolution: 0.1 m --> 630 values) and
	1161	!-- each possible angle of attack (resolution: 0.01 degrees --> 36000 values!)
	1162	!-- determine the lift and drag coefficient by interpolating between the
	1163	!-- tabulated values of each table (interpolate to current angle of attack)
	1164	!-- and between the tables (interpolate to current radial position):
[1839]	1165
[1864]	1166	ALLOCATE( turb_cl_sel1(0:dlenbl) )
	1167	ALLOCATE( turb_cl_sel2(0:dlenbl) )
	1168	ALLOCATE( turb_cd_sel1(0:dlenbl) )
	1169	ALLOCATE( turb_cd_sel2(0:dlenbl) )
[1819]	1170
[1864]	1171	radres = INT( rr(1) * 10.0_wp ) + 1_iwp
	1172	dlenbl_int = INT( 360.0_wp / accu_cl_cd_tab ) + 1_iwp
[1839]	1173
[1864]	1174
	1175	ALLOCATE( turb_cl_tab(0:dlenbl_int,1:radres) )
	1176	ALLOCATE( turb_cd_tab(0:dlenbl_int,1:radres) )
	1177
	1178
	1179	DO iir = 1, radres ! loop over radius
	1180
	1181	DO iialpha = 1, dlenbl_int ! loop over angles
	1182
	1183	cur_r = ( iir - 1_iwp ) * 0.1_wp
	1184	alpha_attack_i = -180.0_wp + REAL( iialpha-1 ) * accu_cl_cd_tab
	1185	ialpha = 1
	1186
	1187	DO WHILE ( alpha_attack_i > alpha_attack_tab(ialpha) )
	1188	ialpha = ialpha + 1
	1189	ENDDO
[1819]	1190	!
[1864]	1191	!-- Find position in table
	1192	lct = MINLOC( ABS( trad1 - cur_r ) )
	1193	! lct(1) = lct(1)
[1819]	1194
[1864]	1195	IF ( ( trad1(lct(1)) - cur_r ) .GT. 0.0 ) THEN
	1196	lct(1) = lct(1) - 1
	1197	ENDIF
[1819]	1198
[1864]	1199	trow = lct(1)
	1200	!
	1201	!-- Calculate weights for interpolation
	1202	weight_a = ( trad2(trow) - cur_r ) / ( trad2(trow) - trad1(trow) )
	1203	weight_b = ( cur_r - trad1(trow) ) / ( trad2(trow) - trad1(trow) )
	1204	t1 = ttoint1(trow)
	1205	t2 = ttoint2(trow)
[1819]	1206
[1912]	1207	IF ( t1 .EQ. t2 ) THEN ! if both are the same, the weights are NaN
	1208	weight_a = 0.5_wp ! then do interpolate in between same twice
	1209	weight_b = 0.5_wp ! using 0.5 as weight
[1864]	1210	ENDIF
[1819]	1211
[1864]	1212	IF ( t1 == 0 .AND. t2 == 0 ) THEN
	1213	turb_cd_sel1 = 0.0_wp
	1214	turb_cd_sel2 = 0.0_wp
	1215	turb_cl_sel1 = 0.0_wp
	1216	turb_cl_sel2 = 0.0_wp
	1217	ELSE
	1218	turb_cd_sel1 = turb_cd_table(:,t1)
	1219	turb_cd_sel2 = turb_cd_table(:,t2)
	1220	turb_cl_sel1 = turb_cl_table(:,t1)
	1221	turb_cl_sel2 = turb_cl_table(:,t2)
	1222	ENDIF
	1223
[1912]	1224	!
	1225	!-- Interpolation of lift and drag coefficiencts on fine grid of radius
	1226	!-- segments and angles of attack
	1227
	1228	turb_cl_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1229	alpha_attack_i ) / &
[1864]	1230	( alpha_attack_tab(ialpha) - &
	1231	alpha_attack_tab(ialpha-1) ) * &
	1232	( weight_a * turb_cl_sel1(ialpha-1) + &
	1233	weight_b * turb_cl_sel2(ialpha-1) ) +&
	1234	( alpha_attack_i - &
	1235	alpha_attack_tab(ialpha-1) ) / &
	1236	( alpha_attack_tab(ialpha) - &
	1237	alpha_attack_tab(ialpha-1) ) * &
	1238	( weight_a * turb_cl_sel1(ialpha) + &
	1239	weight_b * turb_cl_sel2(ialpha) )
[1912]	1240	turb_cd_tab(iialpha,iir) = ( alpha_attack_tab(ialpha) - &
	1241	alpha_attack_i ) / &
[1864]	1242	( alpha_attack_tab(ialpha) - &
	1243	alpha_attack_tab(ialpha-1) ) * &
	1244	( weight_a * turb_cd_sel1(ialpha-1) + &
	1245	weight_b * turb_cd_sel2(ialpha-1) ) +&
	1246	( alpha_attack_i - &
	1247	alpha_attack_tab(ialpha-1) ) / &
	1248	( alpha_attack_tab(ialpha) - &
	1249	alpha_attack_tab(ialpha-1) ) * &
	1250	( weight_a * turb_cd_sel1(ialpha) + &
	1251	weight_b * turb_cd_sel2(ialpha) )
[1819]	1252
[1912]	1253	ENDDO ! end loop over angles of attack
[1819]	1254
[1864]	1255	ENDDO ! end loop over radius
	1256
[1912]	1257	END SUBROUTINE wtm_read_blade_tables
[1819]	1258
	1259
[1864]	1260	!------------------------------------------------------------------------------!
	1261	! Description:
	1262	! ------------
	1263	!> The projection matrix for the coordinate system of therotor disc in respect
	1264	!> to the yaw and tilt angle of the rotor is calculated
	1265	!------------------------------------------------------------------------------!
	1266	SUBROUTINE wtm_rotate_rotor( inot )
[1819]	1267
[1864]	1268
	1269	IMPLICIT NONE
	1270
	1271	INTEGER(iwp) :: inot
	1272	!
	1273	!-- Calculation of the rotation matrix for the application of the tilt to
	1274	!-- the rotors
	1275	rot_eigen_rad(1) = SIN( phi_yaw(inot) ) ! x-component of the radial eigenvector
	1276	rot_eigen_rad(2) = COS( phi_yaw(inot) ) ! y-component of the radial eigenvector
	1277	rot_eigen_rad(3) = 0.0_wp ! z-component of the radial eigenvector
	1278
	1279	rot_eigen_azi(1) = 0.0_wp ! x-component of the azimuth eigenvector
	1280	rot_eigen_azi(2) = 0.0_wp ! y-component of the azimuth eigenvector
	1281	rot_eigen_azi(3) = 1.0_wp ! z-component of the azimuth eigenvector
	1282
	1283	rot_eigen_nor(1) = COS( phi_yaw(inot) ) ! x-component of the normal eigenvector
	1284	rot_eigen_nor(2) = -SIN( phi_yaw(inot) ) ! y-component of the normal eigenvector
	1285	rot_eigen_nor(3) = 0.0_wp ! z-component of the normal eigenvector
[1839]	1286
[1864]	1287	!
	1288	!-- Calculation of the coordinate transformation matrix to apply a tilt to
	1289	!-- the rotor. If tilt = 0, rot_coord_trans is a unit matrix.
[1819]	1290
[1912]	1291	rot_coord_trans(inot,1,1) = rot_eigen_rad(1)*2 &
[1864]	1292	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1293	rot_coord_trans(inot,1,2) = rot_eigen_rad(1) * rot_eigen_rad(2) * &
	1294	( 1.0_wp - COS( tilt ) ) - &
[1864]	1295	rot_eigen_rad(3) * SIN( tilt )
[1912]	1296	rot_coord_trans(inot,1,3) = rot_eigen_rad(1) * rot_eigen_rad(3) * &
	1297	( 1.0_wp - COS( tilt ) ) + &
[1864]	1298	rot_eigen_rad(2) * SIN( tilt )
[1912]	1299	rot_coord_trans(inot,2,1) = rot_eigen_rad(2) * rot_eigen_rad(1) * &
	1300	( 1.0_wp - COS( tilt ) ) + &
[1864]	1301	rot_eigen_rad(3) * SIN( tilt )
[1912]	1302	rot_coord_trans(inot,2,2) = rot_eigen_rad(2)*2 &
[1864]	1303	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1912]	1304	rot_coord_trans(inot,2,3) = rot_eigen_rad(2) * rot_eigen_rad(3) * &
	1305	( 1.0_wp - COS( tilt ) ) - &
[1864]	1306	rot_eigen_rad(1) * SIN( tilt )
[1912]	1307	rot_coord_trans(inot,3,1) = rot_eigen_rad(3) * rot_eigen_rad(1) * &
	1308	( 1.0_wp - COS( tilt ) ) - &
[1864]	1309	rot_eigen_rad(2) * SIN( tilt )
[1912]	1310	rot_coord_trans(inot,3,2) = rot_eigen_rad(3) * rot_eigen_rad(2) * &
	1311	( 1.0_wp - COS( tilt ) ) + &
[1864]	1312	rot_eigen_rad(1) * SIN( tilt )
[1912]	1313	rot_coord_trans(inot,3,3) = rot_eigen_rad(3)*2 &
[1864]	1314	( 1.0_wp - COS( tilt ) ) + COS( tilt )
[1839]	1315
[1864]	1316	!
	1317	!-- Vectors for the Transformation of forces from the rotor's spheric
	1318	!-- coordinate system to the cartesian coordinate system
	1319	rotx(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_nor )
	1320	roty(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_rad )
	1321	rotz(inot,:) = MATMUL( rot_coord_trans(inot,:,:), rot_eigen_azi )
	1322
	1323	END SUBROUTINE wtm_rotate_rotor
[1839]	1324
	1325
[1819]	1326	!------------------------------------------------------------------------------!
	1327	! Description:
	1328	! ------------
[1839]	1329	!> Calculation of the forces generated by the wind turbine
[1819]	1330	!------------------------------------------------------------------------------!
	1331	SUBROUTINE wtm_forces
	1332
[1864]	1333
[1819]	1334	IMPLICIT NONE
	1335
	1336	CHARACTER (LEN=2) :: turbine_id
	1337
[1839]	1338	INTEGER(iwp) :: i, j, k !< loop indices
	1339	INTEGER(iwp) :: inot !< turbine loop index (turbine id)
	1340	INTEGER(iwp) :: iialpha, iir !<
	1341	INTEGER(iwp) :: rseg, rseg_int !<
	1342	INTEGER(iwp) :: ring, ring_int !<
	1343	INTEGER(iwp) :: ii, jj, kk !<
[1912]	1344
[1839]	1345	REAL(wp) :: sin_rot, cos_rot !<
	1346	REAL(wp) :: sin_yaw, cos_yaw !<
[1912]	1347
	1348	REAL(wp) :: aa, bb, cc, dd !< interpolation distances
	1349	REAL(wp) :: gg !< interpolation volume var
	1350
	1351	REAL(wp) :: dist_u_3d, dist_v_3d, dist_w_3d !< smearing distances
	1352
	1353
[1839]	1354	!
[1819]	1355	! Variables for pitch control
	1356	REAL(wp) :: torque_max=0.0_wp
[1839]	1357	LOGICAL :: pitch_sw=.FALSE.
	1358
[1819]	1359	INTEGER(iwp), DIMENSION(1) :: lct=0
[1839]	1360	REAL(wp), DIMENSION(1) :: rad_d=0.0_wp
[1819]	1361
	1362
[1864]	1363	CALL cpu_log( log_point_s(61), 'wtm_forces', 'start' )
[1819]	1364
	1365
	1366	IF ( simulated_time >= time_turbine_on ) THEN
	1367
[1864]	1368	!
[1819]	1369	!-- Set forces to zero for each new time step:
	1370	thrust(:,:,:) = 0.0_wp
	1371	torque_y(:,:,:) = 0.0_wp
	1372	torque_z(:,:,:) = 0.0_wp
	1373	torque_total(:) = 0.0_wp
[1912]	1374	rot_tend_x(:,:,:) = 0.0_wp
	1375	rot_tend_y(:,:,:) = 0.0_wp
	1376	rot_tend_z(:,:,:) = 0.0_wp
	1377	thrust_rotor(:) = 0.0_wp
[1819]	1378	!
	1379	!-- Loop over number of turbines:
	1380	DO inot = 1, nturbines
	1381
	1382	cos_yaw = COS(phi_yaw(inot))
	1383	sin_yaw = SIN(phi_yaw(inot))
	1384	!
[1839]	1385	!-- Loop over rings of each turbine:
[1819]	1386	DO ring = 1, nrings(inot)
	1387
	1388	thrust_seg(:) = 0.0_wp
	1389	torque_seg_y(:) = 0.0_wp
	1390	torque_seg_z(:) = 0.0_wp
	1391	!
	1392	!-- Determine distance between each ring (center) and the hub:
	1393	cur_r = (ring - 0.5_wp) * delta_r(inot)
	1394
	1395	!
[1839]	1396	!-- Loop over segments of each ring of each turbine:
[1819]	1397	DO rseg = 1, nsegs(ring,inot)
	1398	!
[1864]	1399	!-- !-----------------------------------------------------------!
	1400	!-- !-- Determine coordinates of the ring segments --!
	1401	!-- !-----------------------------------------------------------!
[1819]	1402	!
[1864]	1403	!-- Determine angle of ring segment towards zero degree angle of
	1404	!-- rotor system (at zero degree rotor direction vectors aligned
	1405	!-- with y-axis):
[1819]	1406	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1407	cos_rot = COS( phi_rotor )
	1408	sin_rot = SIN( phi_rotor )
	1409
[1864]	1410	!-- Now the direction vectors can be determined with respect to
	1411	!-- the yaw and tilt angle:
[1819]	1412	re(1) = cos_rot * sin_yaw
[1839]	1413	re(2) = cos_rot * cos_yaw
[1819]	1414	re(3) = sin_rot
	1415
	1416	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1417	!
	1418	!-- Coordinates of the single segments (center points):
	1419	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	1420	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	1421	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	1422
[1864]	1423	!-- !-----------------------------------------------------------!
	1424	!-- !-- Interpolation of the velocity components from the --!
	1425	!-- !-- cartesian grid point to the coordinates of each ring --!
	1426	!-- !-- segment (follows a method used in the particle model) --!
	1427	!-- !-----------------------------------------------------------!
[1819]	1428
	1429	u_int(inot,ring,rseg) = 0.0_wp
	1430	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1431
	1432	v_int(inot,ring,rseg) = 0.0_wp
	1433	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1434
	1435	w_int(inot,ring,rseg) = 0.0_wp
	1436	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1437
	1438	!
	1439	!-- Interpolation of the u-component:
	1440
	1441	ii = rbx(ring,rseg) * ddx
	1442	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
	1443	kk = ( rbz(ring,rseg) - 0.5_wp * dz ) / dz
	1444	!
[1864]	1445	!-- Interpolate only if all required information is available on
	1446	!-- the current PE:
[1839]	1447	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1448	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1449
[1839]	1450	aa = ( ( ii + 1 ) * dx - rbx(ring,rseg) ) * &
	1451	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1452	bb = ( rbx(ring,rseg) - ii * dx ) * &
	1453	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1454	cc = ( ( ii+1 ) * dx - rbx(ring,rseg) ) * &
	1455	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1456	dd = ( rbx(ring,rseg) - ii * dx ) * &
	1457	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1458	gg = dx * dy
	1459
[1864]	1460	u_int_l = ( aa * u(kk,jj,ii) + &
	1461	bb * u(kk,jj,ii+1) + &
	1462	cc * u(kk,jj+1,ii) + &
	1463	dd * u(kk,jj+1,ii+1) &
[1819]	1464	) / gg
	1465
[1864]	1466	u_int_u = ( aa * u(kk+1,jj,ii) + &
	1467	bb * u(kk+1,jj,ii+1) + &
	1468	cc * u(kk+1,jj+1,ii) + &
	1469	dd * u(kk+1,jj+1,ii+1) &
[1819]	1470	) / gg
	1471
[1864]	1472	u_int_1_l(inot,ring,rseg) = u_int_l + &
	1473	( rbz(ring,rseg) - zu(kk) ) / dz * &
[1819]	1474	( u_int_u - u_int_l )
	1475
	1476	ELSE
	1477	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1478	ENDIF
	1479	ELSE
	1480	u_int_1_l(inot,ring,rseg) = 0.0_wp
	1481	ENDIF
	1482
	1483
	1484	!
	1485	!-- Interpolation of the v-component:
	1486	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
[1839]	1487	jj = rby(ring,rseg) * ddy
[1819]	1488	kk = ( rbz(ring,rseg) + 0.5_wp * dz ) / dz
	1489	!
[1864]	1490	!-- Interpolate only if all required information is available on
	1491	!-- the current PE:
[1839]	1492	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1493	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1494
[1839]	1495	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1496	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1497	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1498	( ( jj + 1 ) * dy - rby(ring,rseg) )
	1499	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1500	( rby(ring,rseg) - jj * dy )
	1501	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1502	( rby(ring,rseg) - jj * dy )
[1819]	1503	gg = dx * dy
	1504
[1864]	1505	v_int_l = ( aa * v(kk,jj,ii) + &
	1506	bb * v(kk,jj,ii+1) + &
	1507	cc * v(kk,jj+1,ii) + &
	1508	dd * v(kk,jj+1,ii+1) &
[1819]	1509	) / gg
	1510
[1864]	1511	v_int_u = ( aa * v(kk+1,jj,ii) + &
	1512	bb * v(kk+1,jj,ii+1) + &
	1513	cc * v(kk+1,jj+1,ii) + &
	1514	dd * v(kk+1,jj+1,ii+1) &
[1819]	1515	) / gg
	1516
[1864]	1517	v_int_1_l(inot,ring,rseg) = v_int_l + &
	1518	( rbz(ring,rseg) - zu(kk) ) / dz * &
[1819]	1519	( v_int_u - v_int_l )
	1520
	1521	ELSE
	1522	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1523	ENDIF
	1524	ELSE
	1525	v_int_1_l(inot,ring,rseg) = 0.0_wp
	1526	ENDIF
	1527
	1528
	1529	!
	1530	!-- Interpolation of the w-component:
	1531	ii = ( rbx(ring,rseg) - 0.5_wp * dx ) * ddx
	1532	jj = ( rby(ring,rseg) - 0.5_wp * dy ) * ddy
[1839]	1533	kk = rbz(ring,rseg) / dz
[1819]	1534	!
[1864]	1535	!-- Interpolate only if all required information is available on
	1536	!-- the current PE:
[1839]	1537	IF ( ( ii >= nxl ) .AND. ( ii <= nxr ) ) THEN
	1538	IF ( ( jj >= nys ) .AND. ( jj <= nyn ) ) THEN
[1819]	1539
[1839]	1540	aa = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1541	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1542	bb = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1543	( ( jj + 1 + 0.5_wp ) * dy - rby(ring,rseg) )
	1544	cc = ( ( ii + 1 + 0.5_wp ) * dx - rbx(ring,rseg) ) * &
	1545	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
	1546	dd = ( rbx(ring,rseg) - ( ii + 0.5_wp ) * dx ) * &
	1547	( rby(ring,rseg) - ( jj + 0.5_wp ) * dy )
[1819]	1548	gg = dx * dy
	1549
[1864]	1550	w_int_l = ( aa * w(kk,jj,ii) + &
	1551	bb * w(kk,jj,ii+1) + &
	1552	cc * w(kk,jj+1,ii) + &
	1553	dd * w(kk,jj+1,ii+1) &
[1819]	1554	) / gg
	1555
[1864]	1556	w_int_u = ( aa * w(kk+1,jj,ii) + &
	1557	bb * w(kk+1,jj,ii+1) + &
	1558	cc * w(kk+1,jj+1,ii) + &
	1559	dd * w(kk+1,jj+1,ii+1) &
[1819]	1560	) / gg
	1561
[1864]	1562	w_int_1_l(inot,ring,rseg) = w_int_l + &
	1563	( rbz(ring,rseg) - zw(kk) ) / dz * &
[1819]	1564	( w_int_u - w_int_l )
	1565	ELSE
	1566	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1567	ENDIF
	1568	ELSE
	1569	w_int_1_l(inot,ring,rseg) = 0.0_wp
	1570	ENDIF
	1571
	1572	ENDDO
	1573	ENDDO
	1574
	1575	ENDDO
	1576
	1577	!
	1578	!-- Exchange between PEs (information required on each PE):
	1579	#if defined( __parallel )
[1839]	1580	CALL MPI_ALLREDUCE( u_int_1_l, u_int, nturbines * MAXVAL(nrings) * &
	1581	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1582	CALL MPI_ALLREDUCE( v_int_1_l, v_int, nturbines * MAXVAL(nrings) * &
	1583	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
	1584	CALL MPI_ALLREDUCE( w_int_1_l, w_int, nturbines * MAXVAL(nrings) * &
	1585	MAXVAL(nsegs), MPI_REAL, MPI_SUM, comm2d, ierr )
[1819]	1586	#else
	1587	u_int = u_int_1_l
	1588	v_int = v_int_1_l
	1589	w_int = w_int_1_l
	1590	#endif
	1591
	1592
	1593	!
	1594	!-- Loop over number of turbines:
[1912]	1595
[1819]	1596	DO inot = 1, nturbines
[1912]	1597	pit_loop: DO
[1819]	1598
[1912]	1599	IF ( pitch_sw ) THEN
[1839]	1600	torque_total(inot) = 0.0_wp
[1912]	1601	thrust_rotor(inot) = 0.0_wp
	1602	pitch_add(inot) = pitch_add(inot) + 0.25_wp
	1603	! IF ( myid == 0 ) PRINT*, 'Pitch', inot, pitch_add(inot)
	1604	ELSE
	1605	cos_yaw = COS(phi_yaw(inot))
	1606	sin_yaw = SIN(phi_yaw(inot))
	1607	IF ( pitch_control ) THEN
	1608	pitch_add(inot) = MAX(pitch_add_old(inot) - pitch_rate * &
	1609	dt_3d , 0.0_wp )
	1610	ENDIF
[1819]	1611	ENDIF
	1612
[1839]	1613	!
	1614	!-- Loop over rings of each turbine:
[1819]	1615	DO ring = 1, nrings(inot)
	1616	!
	1617	!-- Determine distance between each ring (center) and the hub:
	1618	cur_r = (ring - 0.5_wp) * delta_r(inot)
[1839]	1619	!
	1620	!-- Loop over segments of each ring of each turbine:
[1819]	1621	DO rseg = 1, nsegs(ring,inot)
	1622	!
[1839]	1623	!-- Determine angle of ring segment towards zero degree angle of
	1624	!-- rotor system (at zero degree rotor direction vectors aligned
	1625	!-- with y-axis):
[1819]	1626	phi_rotor = rseg * 2.0_wp * pi / nsegs(ring,inot)
	1627	cos_rot = COS(phi_rotor)
	1628	sin_rot = SIN(phi_rotor)
	1629	!
[1839]	1630	!-- Now the direction vectors can be determined with respect to
	1631	!-- the yaw and tilt angle:
[1819]	1632	re(1) = cos_rot * sin_yaw
	1633	re(2) = cos_rot * cos_yaw
	1634	re(3) = sin_rot
	1635
[1864]	1636	! The current unit vector in azimuthal direction:
[1819]	1637	rea(1) = - sin_rot * sin_yaw
	1638	rea(2) = - sin_rot * cos_yaw
	1639	rea(3) = cos_rot
	1640
	1641	!
[1864]	1642	!-- To respect the yawing angle for the calculations of
	1643	!-- velocities and forces the unit vectors perpendicular to the
	1644	!-- rotor area in direction of the positive yaw angle are defined:
[1819]	1645	ren(1) = cos_yaw
	1646	ren(2) = - sin_yaw
	1647	ren(3) = 0.0_wp
	1648	!
	1649	!-- Multiplication with the coordinate transformation matrix
[1864]	1650	!-- gives the final unit vector with consideration of the rotor
	1651	!-- tilt:
[1819]	1652	rote = MATMUL( rot_coord_trans(inot,:,:), re )
	1653	rota = MATMUL( rot_coord_trans(inot,:,:), rea )
	1654	rotn = MATMUL( rot_coord_trans(inot,:,:), ren )
	1655	!
	1656	!-- Coordinates of the single segments (center points):
	1657	rbx(ring,rseg) = rcx(inot) + cur_r * rote(1)
	1658
	1659	rby(ring,rseg) = rcy(inot) + cur_r * rote(2)
	1660
	1661	rbz(ring,rseg) = rcz(inot) + cur_r * rote(3)
	1662
	1663	!
[1864]	1664	!-- !-----------------------------------------------------------!
	1665	!-- !-- Calculation of various angles and relative velocities --!
	1666	!-- !-----------------------------------------------------------!
[1819]	1667	!
[1864]	1668	!-- In the following the 3D-velocity field is projected its
[1819]	1669	!-- components perpedicular and parallel to the rotor area
	1670	!-- The calculation of forces will be done in the rotor-
	1671	!-- coordinates y' and z.
	1672	!-- The yaw angle will be reintroduced when the force is applied
	1673	!-- on the hydrodynamic equations
[1864]	1674	!
	1675	!-- Projection of the xy-velocities relative to the rotor area
	1676	!
[1819]	1677	!-- Velocity perpendicular to the rotor area:
[1864]	1678	u_rot = u_int(inot,ring,rseg)*rotn(1) + &
	1679	v_int(inot,ring,rseg)*rotn(2) + &
[1819]	1680	w_int(inot,ring,rseg)*rotn(3)
	1681	!
[1864]	1682	!-- Projection of the 3D-velocity vector in the azimuthal
	1683	!-- direction:
	1684	vtheta(rseg) = rota(1) * u_int(inot,ring,rseg) + &
	1685	rota(2) * v_int(inot,ring,rseg) + &
[1819]	1686	rota(3) * w_int(inot,ring,rseg)
	1687	!
[1864]	1688	!-- Determination of the angle phi_rel between the rotor plane
	1689	!-- and the direction of the flow relative to the rotor:
[1819]	1690
[1864]	1691	phi_rel(rseg) = ATAN( u_rot / &
	1692	( omega_rot(inot) * cur_r - &
[1819]	1693	vtheta(rseg) ) )
	1694
	1695	!
[1864]	1696	!-- Interpolation of the local pitch angle from tabulated values
	1697	!-- to the current radial position:
[1819]	1698
	1699	lct=minloc(ABS(cur_r-lrd))
	1700	rad_d=cur_r-lrd(lct)
	1701
	1702	IF (cur_r == 0.0_wp) THEN
	1703	alpha_attack(rseg) = 0.0_wp
	1704	ELSE IF (cur_r >= lrd(size(ard))) THEN
[1864]	1705	alpha_attack(rseg) = ( ard(size(ard)) + &
	1706	ard(size(ard)-1) ) / 2.0_wp
[1819]	1707	ELSE
[1864]	1708	alpha_attack(rseg) = ( ard(lct(1)) * &
	1709	( ( lrd(lct(1)+1) - cur_r ) / &
	1710	( lrd(lct(1)+1) - lrd(lct(1)) ) &
	1711	) ) + ( ard(lct(1)+1) * &
	1712	( ( cur_r - lrd(lct(1)) ) / &
	1713	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	1714	ENDIF
	1715
	1716	!
[1864]	1717	!-- In Fortran radian instead of degree is used as unit for all
	1718	!-- angles. Therefore, a transformation from angles given in
	1719	!-- degree to angles given in radian is necessary here:
	1720	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	1721	( (2.0_wp*pi) / 360.0_wp )
	1722	!
[1864]	1723	!-- Substraction of the local pitch angle to obtain the local
	1724	!-- angle of attack:
[1819]	1725	alpha_attack(rseg) = phi_rel(rseg) - alpha_attack(rseg)
	1726	!
[1864]	1727	!-- Preliminary transformation back from angles given in radian
	1728	!-- to angles given in degree:
	1729	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	1730	( 360.0_wp / (2.0_wp*pi) )
	1731	!
[1864]	1732	!-- Correct with collective pitch angle:
[1819]	1733	alpha_attack = alpha_attack + pitch_add(inot)
	1734
	1735	!
[1864]	1736	!-- Determination of the magnitude of the flow velocity relative
	1737	!-- to the rotor:
[1912]	1738	vrel(rseg) = SQRT( u_rot**2 + &
	1739	( omega_rot(inot) * cur_r - &
[1819]	1740	vtheta(rseg) )**2 )
	1741
	1742	!
[1864]	1743	!-- !-----------------------------------------------------------!
	1744	!-- !-- Interpolation of chord as well as lift and drag --!
	1745	!-- !-- coefficients from tabulated values --!
	1746	!-- !-----------------------------------------------------------!
[1819]	1747
	1748	!
[1864]	1749	!-- Interpolation of the chord_length from tabulated values to
	1750	!-- the current radial position:
[1819]	1751
	1752	IF (cur_r == 0.0_wp) THEN
	1753	chord(rseg) = 0.0_wp
	1754	ELSE IF (cur_r >= lrd(size(crd))) THEN
[1864]	1755	chord(rseg) = (crd(size(crd)) + ard(size(crd)-1)) / 2.0_wp
[1819]	1756	ELSE
[1864]	1757	chord(rseg) = ( crd(lct(1)) * &
	1758	( ( lrd(lct(1)+1) - cur_r ) / &
	1759	( lrd(lct(1)+1) - lrd(lct(1)) ) ) ) + &
	1760	( crd(lct(1)+1) * &
	1761	( ( cur_r-lrd(lct(1)) ) / &
	1762	( lrd(lct(1)+1) - lrd(lct(1)) ) ) )
[1819]	1763	ENDIF
	1764
	1765	!
	1766	!-- Determine index of current angle of attack, needed for
[1864]	1767	!-- finding the appropriate interpolated values of the lift and
	1768	!-- drag coefficients (-180.0 degrees = 0, +180.0 degrees = 36000,
	1769	!-- so one index every 0.01 degrees):
	1770	iialpha = CEILING( ( alpha_attack(rseg) + 180.0_wp ) &
[1839]	1771	* ( 1.0_wp / accu_cl_cd_tab ) )
[1819]	1772	!
	1773	!-- Determine index of current radial position, needed for
[1864]	1774	!-- finding the appropriate interpolated values of the lift and
	1775	!-- drag coefficients (one index every 0.1 m):
[1819]	1776	iir = CEILING( cur_r * 10.0_wp )
	1777	!
[1864]	1778	!-- Read in interpolated values of the lift and drag coefficients
	1779	!-- for the current radial position and angle of attack:
[1839]	1780	turb_cl(rseg) = turb_cl_tab(iialpha,iir)
	1781	turb_cd(rseg) = turb_cd_tab(iialpha,iir)
[1819]	1782
	1783	!
[1864]	1784	!-- Final transformation back from angles given in degree to
	1785	!-- angles given in radian:
	1786	alpha_attack(rseg) = alpha_attack(rseg) * &
[1819]	1787	( (2.0_wp*pi) / 360.0_wp )
	1788
	1789	!
	1790	!-- !-----------------------------------------------------!
	1791	!-- !-- Calculation of the forces --!
	1792	!-- !-----------------------------------------------------!
	1793
	1794	!
[1864]	1795	!-- Calculate the pre_factor for the thrust and torque forces:
[1819]	1796
	1797	pre_factor = 0.5_wp * (vrel(rseg)*2) 3.0_wp * &
	1798	chord(rseg) * delta_r(inot) / nsegs(ring,inot)
	1799
	1800	!
[1864]	1801	!-- Calculate the thrust force (x-component of the total force)
	1802	!-- for each ring segment:
	1803	thrust_seg(rseg) = pre_factor * &
	1804	( turb_cl(rseg) * COS(phi_rel(rseg)) + &
	1805	turb_cd(rseg) * SIN(phi_rel(rseg)) )
[1819]	1806
	1807	!
[1864]	1808	!-- Determination of the second of the additional forces acting
	1809	!-- on the flow in the azimuthal direction: force vector as basis
	1810	!-- for torque (torque itself would be the vector product of the
	1811	!-- radius vector and the force vector):
	1812	torque_seg = pre_factor * &
	1813	( turb_cl(rseg) * SIN(phi_rel(rseg)) - &
[1839]	1814	turb_cd(rseg) * COS(phi_rel(rseg)) )
[1819]	1815	!
	1816	!-- Decomposition of the force vector into two parts:
[1864]	1817	!-- One acting along the y-direction and one acting along the
	1818	!-- z-direction of the rotor coordinate system:
[1819]	1819
	1820	torque_seg_y(rseg) = -torque_seg * sin_rot
	1821	torque_seg_z(rseg) = torque_seg * cos_rot
	1822
[1912]	1823	!
	1824	!-- Add the segment thrust to the thrust of the whole rotor
	1825	thrust_rotor(inot) = thrust_rotor(inot) + &
	1826	thrust_seg(rseg)
	1827
	1828
[1819]	1829	torque_total(inot) = torque_total(inot) + (torque_seg * cur_r)
	1830
[1864]	1831	ENDDO !-- end of loop over ring segments
[1819]	1832
	1833	!
[1864]	1834	!-- Restore the forces into arrays containing all the segments of
	1835	!-- each ring:
[1819]	1836	thrust_ring(ring,:) = thrust_seg(:)
	1837	torque_ring_y(ring,:) = torque_seg_y(:)
	1838	torque_ring_z(ring,:) = torque_seg_z(:)
	1839
	1840
[1864]	1841	ENDDO !-- end of loop over rings
[1819]	1842
	1843
[1864]	1844	CALL cpu_log( log_point_s(62), 'wtm_controller', 'start' )
[1819]	1845
[1912]	1846
	1847	IF ( speed_control ) THEN
	1848	!
	1849	!-- Calculation of the current generator speed for rotor speed control
	1850
	1851	!
	1852	!-- The acceleration of the rotor speed is calculated from
	1853	!-- the force balance of the accelerating torque
	1854	!-- and the torque of the rotating rotor and generator
	1855	om_rate = ( torque_total(inot) * air_dens * gear_eff - &
	1856	gear_ratio * torque_gen_old(inot) ) / &
	1857	( inertia_rot + &
	1858	gear_ratio * gear_ratio * inertia_gen ) * dt_3d
[1819]	1859
[1912]	1860	!
	1861	!-- The generator speed is given by the product of gear gear_ratio
	1862	!-- and rotor speed
	1863	omega_gen(inot) = gear_ratio * ( omega_rot(inot) + om_rate )
	1864
	1865	ENDIF
	1866
[1864]	1867	IF ( pitch_control ) THEN
[1819]	1868
[1912]	1869	!
	1870	!-- If the current generator speed is above rated, the pitch is not
	1871	!-- saturated and the change from the last time step is within the
	1872	!-- maximum pitch rate, then the pitch loop is repeated with a pitch
	1873	!-- gain
	1874	IF ( ( omega_gen(inot) > rated_genspeed ) .AND. &
	1875	( pitch_add(inot) < 25.0_wp ) .AND. &
	1876	( pitch_add(inot) < pitch_add_old(inot) + &
	1877	pitch_rate * dt_3d ) ) THEN
[1864]	1878	pitch_sw = .TRUE.
[1912]	1879	!
	1880	!-- Go back to beginning of pit_loop
	1881	CYCLE pit_loop
[1819]	1882	ENDIF
[1912]	1883
	1884	!
	1885	!-- The current pitch is saved for the next time step
	1886	pitch_add_old(inot) = pitch_add(inot)
[1864]	1887	pitch_sw = .FALSE.
[1819]	1888	ENDIF
[1912]	1889	EXIT pit_loop
	1890	ENDDO pit_loop ! Recursive pitch control loop
[1819]	1891
[1864]	1892
[1819]	1893	!
[1864]	1894	!-- Call the rotor speed controller
	1895
[1819]	1896	IF ( speed_control ) THEN
	1897	!
[1864]	1898	!-- Find processor at i_hub, j_hub
[1912]	1899	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	1900	THEN
	1901	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	1902	THEN
[1864]	1903	CALL wtm_speed_control( inot )
	1904	ENDIF
[1912]	1905	ENDIF
[1864]	1906
[1819]	1907	ENDIF
	1908
	1909
[1864]	1910	CALL cpu_log( log_point_s(62), 'wtm_controller', 'stop' )
[1819]	1911
[1864]	1912	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'start' )
[1819]	1913
	1914
[1864]	1915	!-- !-----------------------------------------------------------------!
	1916	!-- !-- Regularization kernel --!
	1917	!-- !-- Smearing of the forces and interpolation to cartesian grid --!
	1918	!-- !-----------------------------------------------------------------!
[1819]	1919	!
[1864]	1920	!-- The aerodynamic blade forces need to be distributed smoothly on
	1921	!-- several mesh points in order to avoid singular behaviour
[1819]	1922	!
	1923	!-- Summation over sum of weighted forces. The weighting factor
[1864]	1924	!-- (calculated in user_init) includes information on the distance
	1925	!-- between the center of the grid cell and the rotor segment under
	1926	!-- consideration
[1819]	1927	!
[1864]	1928	!-- To save computing time, apply smearing only for the relevant part
	1929	!-- of the model domain:
[1819]	1930	!
	1931	!--
	1932	!-- Calculation of the boundaries:
[1864]	1933	i_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,1) ) + &
	1934	eps_min ) / dx )
	1935	j_smear(inot) = CEILING( ( rr(inot) * ABS( roty(inot,2) ) + &
	1936	eps_min ) / dy )
[1819]	1937
[1864]	1938	DO i = MAX( nxl, i_hub(inot) - i_smear(inot) ), &
[1819]	1939	MIN( nxr, i_hub(inot) + i_smear(inot) )
[1864]	1940	DO j = MAX( nys, j_hub(inot) - j_smear(inot) ), &
[1819]	1941	MIN( nyn, j_hub(inot) + j_smear(inot) )
	1942	DO k = MAX( nzb_u_inner(j,i)+1, k_hub(inot) - k_smear(inot) ), &
	1943	k_hub(inot) + k_smear(inot)
	1944	DO ring = 1, nrings(inot)
	1945	DO rseg = 1, nsegs(ring,inot)
	1946	!
	1947	!-- Determine the square of the distance between the
	1948	!-- current grid point and each rotor area segment:
[1864]	1949	dist_u_3d = ( i * dx - rbx(ring,rseg) )**2 + &
	1950	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
	1951	( k * dz - 0.5_wp * dz - rbz(ring,rseg) )**2
	1952	dist_v_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	1953	( j * dy - rby(ring,rseg) )**2 + &
	1954	( k * dz - 0.5_wp * dz - rbz(ring,rseg) )**2
	1955	dist_w_3d = ( i * dx + 0.5_wp * dx - rbx(ring,rseg) )**2 + &
	1956	( j * dy + 0.5_wp * dy - rby(ring,rseg) )**2 + &
	1957	( k * dz - rbz(ring,rseg) )**2
[1819]	1958
	1959	!
	1960	!-- 3D-smearing of the forces with a polynomial function
	1961	!-- (much faster than the old Gaussian function), using
	1962	!-- some parameters that have been calculated in user_init.
	1963	!-- The function is only similar to Gaussian function for
	1964	!-- squared distances <= eps_min2:
	1965	IF ( dist_u_3d <= eps_min2 ) THEN
[1864]	1966	thrust(k,j,i) = thrust(k,j,i) + &
	1967	thrust_ring(ring,rseg) * &
	1968	( ( pol_a * dist_u_3d - pol_b ) * &
	1969	dist_u_3d + 1.0_wp ) * eps_factor
[1819]	1970	ENDIF
	1971	IF ( dist_v_3d <= eps_min2 ) THEN
[1864]	1972	torque_y(k,j,i) = torque_y(k,j,i) + &
	1973	torque_ring_y(ring,rseg) * &
	1974	( ( pol_a * dist_v_3d - pol_b ) *&
	1975	dist_v_3d + 1.0_wp ) * eps_factor
[1819]	1976	ENDIF
	1977	IF ( dist_w_3d <= eps_min2 ) THEN
[1864]	1978	torque_z(k,j,i) = torque_z(k,j,i) + &
	1979	torque_ring_z(ring,rseg) * &
	1980	( ( pol_a * dist_w_3d - pol_b ) *&
	1981	dist_w_3d + 1.0_wp ) * eps_factor
[1819]	1982	ENDIF
	1983
	1984	ENDDO ! End of loop over rseg
	1985	ENDDO ! End of loop over ring
	1986
	1987	!
	1988	!-- Rotation of force components:
[1912]	1989	rot_tend_x(k,j,i) = rot_tend_x(k,j,i) + &
[1864]	1990	thrust(k,j,i)*rotx(inot,1) + &
	1991	torque_y(k,j,i)*roty(inot,1) + &
[1819]	1992	torque_z(k,j,i)*rotz(inot,1)
	1993
[1912]	1994	rot_tend_y(k,j,i) = rot_tend_y(k,j,i) + &
[1864]	1995	thrust(k,j,i)*rotx(inot,2) + &
	1996	torque_y(k,j,i)*roty(inot,2) + &
[1819]	1997	torque_z(k,j,i)*rotz(inot,2)
	1998
[1912]	1999	rot_tend_z(k,j,i) = rot_tend_z(k,j,i) + &
[1864]	2000	thrust(k,j,i)*rotx(inot,3) + &
	2001	torque_y(k,j,i)*roty(inot,3) + &
[1819]	2002	torque_z(k,j,i)*rotz(inot,3)
	2003
	2004	ENDDO ! End of loop over k
	2005	ENDDO ! End of loop over j
	2006	ENDDO ! End of loop over i
	2007
[1864]	2008	CALL cpu_log( log_point_s(63), 'wtm_smearing', 'stop' )
[1819]	2009
[1912]	2010	ENDDO !-- end of loop over turbines
[1819]	2011
	2012
	2013	IF ( yaw_control ) THEN
	2014	!
	2015	!-- Allocate arrays for yaw control at first call
	2016	!-- Can't be allocated before dt_3d is set
	2017	IF ( start_up ) THEN
[1864]	2018	WDLON = NINT( 30.0_wp / dt_3d ) ! 30s running mean array
[1819]	2019	ALLOCATE( wd30(1:nturbines,1:WDLON) )
[1912]	2020	wd30 = 999.0_wp ! Set to dummy value
[1819]	2021	ALLOCATE( wd30_l(1:WDLON) )
	2022
[1864]	2023	WDSHO = NINT( 2.0_wp / dt_3d ) ! 2s running mean array
[1819]	2024	ALLOCATE( wd2(1:nturbines,1:WDSHO) )
[1912]	2025	wd2 = 999.0_wp ! Set to dummy value
[1819]	2026	ALLOCATE( wd2_l(1:WDSHO) )
	2027	start_up = .FALSE.
	2028	ENDIF
	2029
	2030	!
	2031	!-- Calculate the inflow wind speed
	2032	!--
	2033	!-- Loop over number of turbines:
	2034	DO inot = 1, nturbines
	2035	!
	2036	!-- Find processor at i_hub, j_hub
[1912]	2037	IF ( ( nxl <= i_hub(inot) ) .AND. ( nxr >= i_hub(inot) ) ) &
	2038	THEN
	2039	IF ( ( nys <= j_hub(inot) ) .AND. ( nyn >= j_hub(inot) ) )&
	2040	THEN
[1864]	2041
[1819]	2042	u_inflow_l(inot) = u(k_hub(inot),j_hub(inot),i_hub(inot))
[1864]	2043
[1912]	2044	wdir_l(inot) = -1.0_wp * ATAN2( &
	2045	0.5_wp * ( v(k_hub(inot),j_hub(inot),i_hub(inot)+1) + &
	2046	v(k_hub(inot),j_hub(inot),i_hub(inot)) ) , &
	2047	0.5_wp * ( u(k_hub(inot),j_hub(inot)+1,i_hub(inot)) + &
	2048	u(k_hub(inot),j_hub(inot),i_hub(inot)) ) )
[1864]	2049
	2050	CALL wtm_yawcontrol( inot )
	2051
[1819]	2052	phi_yaw_l(inot) = phi_yaw(inot)
	2053
	2054	ENDIF
	2055	ENDIF
	2056
[1864]	2057	ENDDO !-- end of loop over turbines
	2058
	2059	!
	2060	!-- Transfer of information to the other cpus
	2061	CALL MPI_ALLREDUCE( u_inflow_l, u_inflow, nturbines, MPI_REAL, &
	2062	MPI_SUM, comm2d, ierr )
	2063	CALL MPI_ALLREDUCE( wdir_l, wdir, nturbines, MPI_REAL, MPI_SUM, &
	2064	comm2d, ierr )
	2065	CALL MPI_ALLREDUCE( phi_yaw_l, phi_yaw, nturbines, MPI_REAL, &
	2066	MPI_SUM, comm2d, ierr )
[1819]	2067
	2068	DO inot = 1, nturbines
[1864]	2069	!
	2070	!-- Update rotor orientation
	2071	CALL wtm_rotate_rotor( inot )
[1819]	2072
	2073	ENDDO ! End of loop over turbines
	2074
	2075	END IF
[1864]	2076
	2077	IF ( speed_control ) THEN
	2078	!
	2079	!-- Transfer of information to the other cpus
[1912]	2080	! CALL MPI_ALLREDUCE( omega_gen, omega_gen_old, nturbines, &
	2081	! MPI_REAL,MPI_SUM, comm2d, ierr )
[1864]	2082	CALL MPI_ALLREDUCE( torque_gen, torque_gen_old, nturbines, &
	2083	MPI_REAL, MPI_SUM, comm2d, ierr )
	2084	CALL MPI_ALLREDUCE( omega_rot_l, omega_rot, nturbines, &
	2085	MPI_REAL, MPI_SUM, comm2d, ierr )
[1912]	2086	CALL MPI_ALLREDUCE( omega_gen_f, omega_gen_f_old, nturbines, &
	2087	MPI_REAL, MPI_SUM, comm2d, ierr )
[1864]	2088
	2089	ENDIF
[1819]	2090
	2091	DO inot = 1, nturbines
	2092
	2093	IF ( myid == 0 ) THEN
	2094	IF ( openfile_turb_mod(400+inot)%opened ) THEN
	2095	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2096	omega_gen(inot), torque_gen_old(inot), &
[1864]	2097	torque_total(inot), pitch_add(inot), &
[1912]	2098	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2099	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2100	thrust_rotor(inot), &
[1864]	2101	wdir(inot)*180.0_wp/pi, &
	2102	(phi_yaw(inot))*180.0_wp/pi
[1912]	2103
[1819]	2104	ELSE
	2105
	2106	WRITE ( turbine_id,'(I2.2)') inot
[1864]	2107	OPEN ( 400+inot, FILE=( 'TURBINE_PARAMETERS'//turbine_id ), &
	2108	FORM='FORMATTED' )
[1819]	2109	WRITE ( 400+inot, 105 ) inot
	2110	WRITE ( 400+inot, 106 ) simulated_time, omega_rot(inot), &
[1912]	2111	omega_gen(inot), torque_gen_old(inot), &
[1864]	2112	torque_total(inot), pitch_add(inot), &
[1912]	2113	torque_gen_old(inot)omega_gen(inot)gen_eff, &
[1864]	2114	torque_total(inot)omega_rot(inot)air_dens, &
[1912]	2115	thrust_rotor(inot), &
[1864]	2116	wdir(inot)*180.0_wp/pi, &
	2117	(phi_yaw(inot))*180.0_wp/pi
[1819]	2118	ENDIF
	2119	ENDIF
	2120
[1912]	2121	!-- Set open flag
[1819]	2122	openfile_turb_mod(400+inot)%opened = .TRUE.
[1864]	2123	ENDDO !-- end of loop over turbines
[1819]	2124
	2125	ENDIF
	2126
[1864]	2127	CALL cpu_log( log_point_s(61), 'wtm_forces', 'stop' )
[1819]	2128
[1912]	2129	!
	2130	!-- Formats
[1819]	2131	105 FORMAT ('Turbine control data for turbine ',I2,1X,':'/ &
	2132	&'----------------------------------------'/ &
	2133	&' Time RSpeed GSpeed ', &
[1912]	2134	'GenTorque AeroTorque Pitch Power(Gen) Power(Rot) ', &
	2135	'RotThrust WDirection YawOrient')
[1819]	2136
[1864]	2137	106 FORMAT (F9.3,2X,F7.3,2X,F7.2,2X,F9.1,3X,F9.1,1X,F6.2,2X,F10.1,2X, &
	2138	F10.1,1X,F9.1,2X,F7.2,1X,F7.2)
[1819]	2139
	2140
	2141	END SUBROUTINE wtm_forces
	2142
	2143
[1839]	2144	!------------------------------------------------------------------------------!
	2145	! Description:
	2146	! ------------
	2147	!> Yaw controller for the wind turbine model
	2148	!------------------------------------------------------------------------------!
	2149	SUBROUTINE wtm_yawcontrol( inot )
	2150
[1819]	2151	USE constants
	2152	USE kinds
[1839]	2153
	2154	IMPLICIT NONE
[1819]	2155
	2156	INTEGER(iwp) :: inot
	2157	INTEGER(iwp) :: i_wd_30
	2158	REAL(wp) :: missal
	2159
	2160	i_wd_30 = 0_iwp
	2161
	2162	!
[1864]	2163	!-- The yaw controller computes a 30s running mean of the wind direction.
	2164	!-- If the difference between turbine alignment and wind direction exceeds
	2165	!-- 5Â°, the turbine is yawed. The mechanism stops as soon as the 2s-running
	2166	!-- mean of the missalignment is smaller than 0.5Â°.
	2167	!-- Attention: If the timestep during the simulation changes significantly
	2168	!-- the lengths of the running means change and it does not correspond to
	2169	!-- 30s/2s anymore.
	2170	!-- ! Needs to be modified for these situations !
	2171	!-- For wind from the east, the averaging of the wind direction could cause
	2172	!-- problems and the yaw controller is probably flawed. -> Routine for
	2173	!-- averaging needs to be improved!
	2174	!
	2175	!-- Check if turbine is not yawing
[1819]	2176	IF ( .NOT. doyaw(inot) ) THEN
[1843]	2177	!
[1864]	2178	!-- Write current wind direction into array
[1843]	2179	wd30_l = wd30(inot,:)
	2180	wd30_l = CSHIFT( wd30_l, SHIFT=-1 )
[1819]	2181	wd30_l(1) = wdir(inot)
[1843]	2182	!
[1864]	2183	!-- Check if array is full ( no more dummies )
[1819]	2184	IF ( .NOT. ANY( wd30_l == 999.) ) THEN
	2185
	2186	missal = SUM( wd30_l ) / SIZE( wd30_l ) - phi_yaw(inot)
	2187	!
[1864]	2188	!-- Check if turbine is missaligned by more than max_miss
[1843]	2189	IF ( ABS( missal ) > max_miss ) THEN
	2190	!
[1864]	2191	!-- Check in which direction to yaw
[1843]	2192	yawdir(inot) = SIGN( 1.0_wp, missal )
[1819]	2193	!
[1864]	2194	!-- Start yawing of turbine
[1843]	2195	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2196	doyaw(inot) = .TRUE.
[1864]	2197	wd30_l = 999. ! fill with dummies again
[1819]	2198	ENDIF
	2199	ENDIF
	2200
	2201	wd30(inot,:) = wd30_l
	2202
	2203	!
[1864]	2204	!-- If turbine is already yawing:
	2205	!-- Initialize 2 s running mean and yaw until the missalignment is smaller
	2206	!-- than min_miss
[1819]	2207
	2208	ELSE
	2209	!
	2210	!-- Initialize 2 s running mean
	2211	wd2_l = wd2(inot,:)
[1864]	2212	wd2_l = CSHIFT( wd2_l, SHIFT = -1 )
[1819]	2213	wd2_l(1) = wdir(inot)
[1843]	2214	!
[1864]	2215	!-- Check if array is full ( no more dummies )
	2216	IF ( .NOT. ANY( wd2_l == 999.0_wp ) ) THEN
	2217	!
	2218	!-- Calculate missalignment of turbine
[1819]	2219	missal = SUM( wd2_l - phi_yaw(inot) ) / SIZE( wd2_l )
[1864]	2220	!
	2221	!-- Check if missalignment is still larger than 0.5 degree and if the
	2222	!-- yaw direction is still right
	2223	IF ( ( ABS( missal ) > min_miss ) .AND. &
	2224	( yawdir(inot) == SIGN( 1.0_wp, missal ) ) ) THEN
	2225	!
	2226	!-- Continue yawing
	2227	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2228	ELSE
[1864]	2229	!
	2230	!-- Stop yawing
[1819]	2231	doyaw(inot) = .FALSE.
[1864]	2232	wd2_l = 999.0_wp ! fill with dummies again
[1819]	2233	ENDIF
	2234	ELSE
[1864]	2235	!
	2236	!-- Continue yawing
[1843]	2237	phi_yaw(inot) = phi_yaw(inot) + yawdir(inot) * yaw_speed * dt_3d
[1819]	2238	ENDIF
	2239
	2240	wd2(inot,:) = wd2_l
	2241
	2242	ENDIF
	2243
[1839]	2244	END SUBROUTINE wtm_yawcontrol
[1819]	2245
[1864]	2246
[1819]	2247	!------------------------------------------------------------------------------!
	2248	! Description:
	2249	! ------------
[1864]	2250	!> Initialization of the speed control
	2251	!------------------------------------------------------------------------------!
	2252	SUBROUTINE wtm_init_speed_control
	2253
	2254
	2255	IMPLICIT NONE
	2256
	2257	!
	2258	!-- If speed control is set, remaining variables and control_parameters for
	2259	!-- the control algorithm are calculated
	2260	!
	2261	!-- Calculate slope constant for region 15
	2262	slope15 = ( slope2 * min_reg2 * min_reg2 ) / ( min_reg2 - min_reg15 )
	2263	!
	2264	!-- Calculate upper limit of slipage region
	2265	vs_sysp = rated_genspeed / 1.1_wp
	2266	!
	2267	!-- Calculate slope of slipage region
	2268	slope25 = ( rated_power / rated_genspeed ) / &
	2269	( rated_genspeed - vs_sysp )
	2270	!
	2271	!-- Calculate lower limit of slipage region
	2272	min_reg25 = ( slope25 - SQRT( slope25 * ( slope25 - 4.0_wp * &
	2273	slope2 * vs_sysp ) ) ) / &
	2274	( 2.0_wp * slope2 )
	2275	!
	2276	!-- Frequency for the simple low pass filter
	2277	Fcorner = 0.25_wp
	2278	!
	2279	!-- At the first timestep the torque is set to its maximum to prevent
	2280	!-- an overspeeding of the rotor
	2281	torque_gen_old(:) = max_torque_gen
	2282
	2283	END SUBROUTINE wtm_init_speed_control
	2284
	2285
	2286	!------------------------------------------------------------------------------!
	2287	! Description:
	2288	! ------------
	2289	!> Simple controller for the regulation of the rotor speed
	2290	!------------------------------------------------------------------------------!
	2291	SUBROUTINE wtm_speed_control( inot )
	2292
	2293
	2294	IMPLICIT NONE
	2295
[1912]	2296	INTEGER(iwp) :: inot
	2297
	2298
[1864]	2299
	2300	!
	2301	!-- The controller is based on the fortran script from Jonkman
	2302	!-- et al. 2009 "Definition of a 5 MW Reference Wind Turbine for
	2303	!-- offshore system developement"
	2304
	2305	!
	2306	!-- The generator speed is filtered by a low pass filter
	2307	!-- for the control of the generator torque
	2308	lp_coeff = EXP( -2.0_wp * 3.14_wp * dt_3d * Fcorner )
[1912]	2309	omega_gen_f(inot) = ( 1.0_wp - lp_coeff ) * omega_gen(inot) + lp_coeff *&
[1864]	2310	omega_gen_f_old(inot)
	2311
	2312	IF ( omega_gen_f(inot) <= min_reg15 ) THEN
	2313	!
	2314	!-- Region 1: Generator torque is set to zero to accelerate the rotor:
	2315	torque_gen(inot) = 0
	2316
	2317	ELSEIF ( omega_gen_f(inot) <= min_reg2 ) THEN
	2318	!
	2319	!-- Region 1.5: Generator torque is increasing linearly with rotor speed:
	2320	torque_gen(inot) = slope15 * ( omega_gen_f(inot) - min_reg15 )
	2321
	2322	ELSEIF ( omega_gen_f(inot) <= min_reg25 ) THEN
	2323	!
	2324	!-- Region 2: Generator torque is increased by the square of the generator
	2325	!-- speed to keep the TSR optimal:
	2326	torque_gen(inot) = slope2 * omega_gen_f(inot) * omega_gen_f(inot)
	2327
	2328	ELSEIF ( omega_gen_f(inot) < rated_genspeed ) THEN
	2329	!
	2330	!-- Region 2.5: Slipage region between 2 and 3:
	2331	torque_gen(inot) = slope25 * ( omega_gen_f(inot) - vs_sysp )
	2332
	2333	ELSE
	2334	!
	2335	!-- Region 3: Generator torque is antiproportional to the rotor speed to
	2336	!-- keep the power constant:
	2337	torque_gen(inot) = rated_power / omega_gen_f(inot)
	2338
	2339	ENDIF
	2340	!
	2341	!-- Calculate torque rate and confine with a max
	2342	trq_rate = ( torque_gen(inot) - torque_gen_old(inot) ) / dt_3d
	2343	trq_rate = MIN( MAX( trq_rate, -1.0_wp * max_trq_rate ), max_trq_rate )
	2344	!
	2345	!-- Calculate new gen torque and confine with max torque
	2346	torque_gen(inot) = torque_gen_old(inot) + trq_rate * dt_3d
	2347	torque_gen(inot) = MIN( torque_gen(inot), max_torque_gen )
	2348	!
	2349	!-- Overwrite values for next timestep
[1912]	2350	omega_rot_l(inot) = omega_gen(inot) / gear_ratio
[1864]	2351
	2352
	2353	END SUBROUTINE wtm_speed_control
	2354
	2355
	2356	!------------------------------------------------------------------------------!
	2357	! Description:
	2358	! ------------
[1839]	2359	!> Application of the additional forces generated by the wind turbine on the
	2360	!> flow components (tendency terms)
	2361	!> Call for all grid points
[1819]	2362	!------------------------------------------------------------------------------!
	2363	SUBROUTINE wtm_tendencies( component )
	2364
[1839]	2365
[1819]	2366	IMPLICIT NONE
	2367
[1839]	2368	INTEGER(iwp) :: component !< prognostic variable (u,v,w)
	2369	INTEGER(iwp) :: i !< running index
	2370	INTEGER(iwp) :: j !< running index
	2371	INTEGER(iwp) :: k !< running index
[1819]	2372
	2373
	2374	SELECT CASE ( component )
	2375
	2376	CASE ( 1 )
	2377	!
	2378	!-- Apply the x-component of the force to the u-component of the flow:
[1864]	2379	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2380	DO i = nxlg, nxrg
	2381	DO j = nysg, nyng
	2382	DO k = nzb_u_inner(j,i)+1, k_hub(1) + k_smear(1)
	2383	!
[1864]	2384	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2385	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2386	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2387	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2388	SIGN( u(k,j,i)**2 , u(k,j,i) )
	2389
[1912]	2390	tend(k,j,i) = tend(k,j,i) - rot_tend_x(k,j,i) &
	2391	- tend_nac_x - tend_tow_x
[1819]	2392	ENDDO
	2393	ENDDO
	2394	ENDDO
	2395	ENDIF
	2396
	2397	CASE ( 2 )
	2398	!
	2399	!-- Apply the y-component of the force to the v-component of the flow:
[1864]	2400	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2401	DO i = nxlg, nxrg
	2402	DO j = nysg, nyng
	2403	DO k = nzb_v_inner(j,i)+1, k_hub(1) + k_smear(1)
[1912]	2404	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2405	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2406	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2407	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2408	tend(k,j,i) = tend(k,j,i) - rot_tend_y(k,j,i) &
	2409	- tend_nac_y - tend_tow_y
[1819]	2410	ENDDO
	2411	ENDDO
	2412	ENDDO
	2413	ENDIF
	2414
	2415	CASE ( 3 )
	2416	!
	2417	!-- Apply the z-component of the force to the w-component of the flow:
[1864]	2418	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2419	DO i = nxlg, nxrg
	2420	DO j = nysg, nyng
	2421	DO k = nzb_w_inner(j,i)+1, k_hub(1) + k_smear(1)
[1912]	2422	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i)
[1819]	2423	ENDDO
	2424	ENDDO
	2425	ENDDO
	2426	ENDIF
	2427
	2428
	2429	CASE DEFAULT
	2430
	2431	WRITE( message_string, * ) 'unknown prognostic variable: ', component
	2432	CALL message( 'wtm_tendencies', 'PA04??', 1, 2, 0, 6, 0 )
	2433
	2434	END SELECT
	2435
	2436
	2437	END SUBROUTINE wtm_tendencies
	2438
	2439
	2440	!------------------------------------------------------------------------------!
	2441	! Description:
	2442	! ------------
[1839]	2443	!> Application of the additional forces generated by the wind turbine on the
	2444	!> flow components (tendency terms)
	2445	!> Call for grid point i,j
[1819]	2446	!------------------------------------------------------------------------------!
	2447	SUBROUTINE wtm_tendencies_ij( i, j, component )
	2448
	2449
	2450	IMPLICIT NONE
	2451
[1839]	2452	INTEGER(iwp) :: component !< prognostic variable (u,v,w)
	2453	INTEGER(iwp) :: i !< running index
	2454	INTEGER(iwp) :: j !< running index
	2455	INTEGER(iwp) :: k !< running index
[1819]	2456
	2457	SELECT CASE ( component )
	2458
	2459	CASE ( 1 )
	2460	!
	2461	!-- Apply the x-component of the force to the u-component of the flow:
[1839]	2462	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2463
	2464	DO k = nzb_u_inner(j,i)+1, k_hub(1) + k_smear(1)
	2465	!
[1839]	2466	!-- Calculate the thrust generated by the nacelle and the tower
[1912]	2467	tend_nac_x = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2468	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2469	tend_tow_x = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2470	SIGN( u(k,j,i)**2 , u(k,j,i) )
[1912]	2471	tend(k,j,i) = tend(k,j,i) - rot_tend_x(k,j,i) &
	2472	- tend_nac_x - tend_tow_x
[1819]	2473	ENDDO
	2474	ENDIF
	2475
	2476	CASE ( 2 )
	2477	!
	2478	!-- Apply the y-component of the force to the v-component of the flow:
[1839]	2479	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2480	DO k = nzb_v_inner(j,i)+1, k_hub(1) + k_smear(1)
[1912]	2481	tend_nac_y = 0.5_wp * nac_cd_surf(k,j,i) * &
[1819]	2482	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2483	tend_tow_y = 0.5_wp * tow_cd_surf(k,j,i) * &
[1819]	2484	SIGN( v(k,j,i)**2 , v(k,j,i) )
[1912]	2485	tend(k,j,i) = tend(k,j,i) - rot_tend_y(k,j,i) &
	2486	- tend_nac_y - tend_tow_y
[1819]	2487	ENDDO
	2488	ENDIF
	2489
	2490	CASE ( 3 )
	2491	!
	2492	!-- Apply the z-component of the force to the w-component of the flow:
[1839]	2493	IF ( simulated_time >= time_turbine_on ) THEN
[1819]	2494	DO k = nzb_w_inner(j,i)+1, k_hub(1) + k_smear(1)
[1912]	2495	tend(k,j,i) = tend(k,j,i) - rot_tend_z(k,j,i)
[1819]	2496	ENDDO
	2497	ENDIF
	2498
	2499
	2500	CASE DEFAULT
	2501
	2502	WRITE( message_string, * ) 'unknown prognostic variable: ', component
	2503	CALL message( 'wtm_tendencies', 'PA04??', 1, 2, 0, 6, 0 )
	2504
	2505	END SELECT
	2506
	2507
	2508	END SUBROUTINE wtm_tendencies_ij
	2509
	2510	END MODULE wind_turbine_model_mod

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