Line data Source code
1 : ! ***********************************************************************
2 : !
3 : ! Copyright (C) 2010-2021 The MESA Team
4 : !
5 : ! This program is free software: you can redistribute it and/or modify
6 : ! it under the terms of the GNU Lesser General Public License
7 : ! as published by the Free Software Foundation,
8 : ! either version 3 of the License, or (at your option) any later version.
9 : !
10 : ! This program is distributed in the hope that it will be useful,
11 : ! but WITHOUT ANY WARRANTY; without even the implied warranty of
12 : ! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
13 : ! See the GNU Lesser General Public License for more details.
14 : !
15 : ! You should have received a copy of the GNU Lesser General Public License
16 : ! along with this program. If not, see <https://www.gnu.org/licenses/>.
17 : !
18 : ! ***********************************************************************
19 :
20 : module turb_support
21 :
22 : use star_private_def
23 : use const_def, only: dp, crad, no_mixing
24 : use num_lib
25 : use utils_lib
26 : use auto_diff_support
27 : use star_utils
28 : use turb
29 :
30 : implicit none
31 :
32 : private
33 : public :: get_gradT
34 : public :: do1_mlt_eval
35 : public :: Get_results
36 :
37 : contains
38 :
39 : !> Determines if it is safe (physically) to use TDC instead of MLT.
40 : !!
41 : !! Currently we only know we have to fall back to MLT in cells that get touched
42 : !! by adjust_mass, because there the convection speeds at the start of the
43 : !! step can be badly out of whack.
44 : !!
45 : !! @param s star pointer
46 : !! @param k face index
47 : !! @param fallback False if we can use TDC, True if we can fall back to MLT.
48 65210 : logical function check_if_must_fall_back_to_MLT(s, k) result(fallback)
49 : type (star_info), pointer :: s
50 : integer, intent(in) :: k
51 :
52 65210 : fallback = .false.
53 0 : if (abs(s%mstar_dot) > 1d-99 .and. k < s% k_const_mass) then
54 : fallback = .true.
55 : end if
56 : end function check_if_must_fall_back_to_MLT
57 :
58 0 : subroutine get_gradT(s, MLT_option, & ! used to create models
59 : r, L, T, P, opacity, rho, chiRho, chiT, Cp, gradr, grada, scale_height, &
60 : iso, XH1, cgrav, m, gradL_composition_term, mixing_length_alpha, &
61 : mixing_type, gradT, Y_face, conv_vel, D, Gamma, ierr)
62 : type (star_info), pointer :: s
63 : character (len=*), intent(in) :: MLT_option
64 : real(dp), intent(in) :: &
65 : r, L, T, P, opacity, rho, chiRho, chiT, Cp, gradr, grada, scale_height, &
66 : XH1, cgrav, m, gradL_composition_term, mixing_length_alpha
67 : integer, intent(in) :: iso
68 : real(dp), intent(out) :: gradT, Y_face, conv_vel, D, Gamma
69 : integer, intent(out) :: mixing_type, ierr
70 : type(auto_diff_real_star_order1) :: &
71 : gradr_ad, grada_ad, scale_height_ad, gradT_ad, Y_face_ad, mlt_vc_ad, D_ad, &
72 : Gamma_ad, r_ad, L_ad, T_ad, P_ad, opacity_ad, rho_ad, dV_ad, chiRho_ad, chiT_ad, Cp_ad
73 0 : ierr = 0
74 0 : r_ad = r
75 0 : L_ad = L
76 0 : T_ad = T
77 0 : P_ad = P
78 0 : opacity_ad = opacity
79 0 : rho_ad = rho
80 0 : dV_ad = 0d0
81 0 : chiRho_ad = chiRho
82 0 : chiT_ad = chiT
83 0 : Cp_ad = Cp
84 0 : gradr_ad = gradr
85 0 : grada_ad = grada
86 0 : scale_height_ad = scale_height
87 0 : if (s% use_other_mlt_results) then
88 : call s% other_mlt_results(s% id, 0, MLT_option, &
89 : r_ad, L_ad, T_ad, P_ad, opacity_ad, rho_ad, dV_ad, chiRho_ad, &
90 : chiT_ad, Cp_ad, gradr_ad, grada_ad, scale_height_ad, &
91 : iso, XH1, cgrav, m, gradL_composition_term, mixing_length_alpha, &
92 : s% alpha_semiconvection, s% thermohaline_coeff, &
93 0 : mixing_type, gradT_ad, Y_face_ad, mlt_vc_ad, D_ad, Gamma_ad, ierr)
94 : else
95 : call Get_results(s, 0, MLT_option, &
96 : r_ad, L_ad, T_ad, P_ad, opacity_ad, rho_ad, dV_ad, chiRho_ad, &
97 : chiT_ad, Cp_ad, gradr_ad, grada_ad, scale_height_ad, &
98 : iso, XH1, cgrav, m, gradL_composition_term, mixing_length_alpha, &
99 : s% alpha_semiconvection, s% thermohaline_coeff, &
100 0 : mixing_type, gradT_ad, Y_face_ad, mlt_vc_ad, D_ad, Gamma_ad, ierr)
101 : end if
102 0 : gradT = gradT_ad%val
103 0 : Y_face = Y_face_ad%val
104 0 : conv_vel = mlt_vc_ad%val
105 0 : D = D_ad%val
106 0 : Gamma = Gamma_ad%val
107 0 : end subroutine get_gradT
108 :
109 :
110 79994 : subroutine do1_mlt_eval( &
111 : s, k, MLT_option, gradL_composition_term, &
112 : gradr_in, grada, scale_height, mixing_length_alpha, &
113 : mixing_type, gradT, Y_face, mlt_vc, D, Gamma, ierr)
114 : use chem_def, only: ih1
115 : use const_def, only: ln10
116 : use starspots, only: starspot_tweak_gradr
117 : type (star_info), pointer :: s
118 : integer, intent(in) :: k
119 : character (len=*), intent(in) :: MLT_option
120 : type(auto_diff_real_star_order1), intent(in) :: gradr_in, grada, scale_height
121 : real(dp), intent(in) :: gradL_composition_term, mixing_length_alpha
122 : integer, intent(out) :: mixing_type
123 : type(auto_diff_real_star_order1), intent(out) :: &
124 : gradT, Y_face, mlt_vc, D, Gamma
125 : integer, intent(out) :: ierr
126 :
127 79994 : real(dp) :: cgrav, m, XH1, P_theta, L_theta
128 : integer :: iso
129 : type(auto_diff_real_star_order1) :: gradr, r, L, T, P, opacity, rho, dV, chiRho, chiT, Cp, rho_start
130 : include 'formats'
131 79994 : ierr = 0
132 :
133 :
134 79994 : P = get_Peos_face(s,k) ! if u_flag, should this be P_face_ad? (time centered in riemann)
135 79994 : if (s% include_mlt_in_velocity_time_centering) then
136 : ! could be cleaner with a wrapper for time_centered P and L
137 : if (s% using_velocity_time_centering .and. &
138 0 : s% include_P_in_velocity_time_centering .and. &
139 : s% lnT(k)/ln10 <= s% max_logT_for_include_P_and_L_in_velocity_time_centering) then
140 0 : P_theta = s% P_theta_for_velocity_time_centering
141 : else
142 0 : P_theta = 1d0
143 : end if
144 : ! consder building a wrapper : wrap_opt_time_center_L_00(s,k)
145 : if (s% using_velocity_time_centering .and. &
146 0 : s% include_L_in_velocity_time_centering .and. &
147 : s% lnT(k)/ln10 <= s% max_logT_for_include_P_and_L_in_velocity_time_centering) then
148 0 : L_theta = s% L_theta_for_velocity_time_centering
149 : else
150 0 : L_theta = 1d0
151 : end if
152 0 : L = L_theta*wrap_L_00(s, k) + (1d0 - L_theta)*s% L_start(k)
153 0 : P = P_theta*P + (1d0-P_theta)*s% Peos_face_start(k)
154 0 : r = wrap_opt_time_center_r_00(s,k)
155 : else
156 79994 : L = wrap_L_00(s,k)
157 79994 : r = wrap_r_00(s,k)
158 : end if
159 79994 : gradr = gradr_in
160 79994 : cgrav = s% cgrav(k)
161 79994 : m = s% m_grav(k)
162 79994 : T = get_T_face(s,k)
163 79994 : opacity = get_kap_face(s,k)
164 79994 : rho = get_rho_face(s,k)
165 79994 : rho_start = get_rho_start_face(s,k)
166 79994 : dV = 1d0/rho - 1d0/rho_start ! both variables are face wrapped.
167 79994 : chiRho = get_ChiRho_face(s,k)
168 79994 : chiT = get_ChiT_face(s,k)
169 79994 : Cp = get_Cp_face(s,k)
170 79994 : iso = s% dominant_iso_for_thermohaline(k)
171 79994 : XH1 = s% xa(s% net_iso(ih1),k)
172 :
173 79994 : if (s% use_other_mlt_results) then
174 : call s% other_mlt_results(s% id, k, MLT_option, &
175 : r, L, T, P, opacity, rho, dV, chiRho, chiT, Cp, gradr, grada, scale_height, &
176 : iso, XH1, cgrav, m, gradL_composition_term, mixing_length_alpha, &
177 : s% alpha_semiconvection, s% thermohaline_coeff, &
178 0 : mixing_type, gradT, Y_face, mlt_vc, D, Gamma, ierr)
179 : else
180 : ! starspot YREC routine
181 79994 : if (s% do_starspots) then
182 : !dV = 0d0 ! dV = 1/rho - 1/rho_start and we assume rho = rho_start.
183 0 : call starspot_tweak_gradr(s, P, gradr_in, gradr)
184 : end if
185 : call Get_results(s, k, MLT_option, &
186 : r, L, T, P, opacity, rho, dV, chiRho, chiT, Cp, gradr, grada, scale_height, &
187 : iso, XH1, cgrav, m, gradL_composition_term, mixing_length_alpha, &
188 : s% alpha_semiconvection, s% thermohaline_coeff, &
189 79994 : mixing_type, gradT, Y_face, mlt_vc, D, Gamma, ierr)
190 : end if
191 :
192 79994 : end subroutine do1_mlt_eval
193 :
194 :
195 79994 : subroutine Get_results(s, k, MLT_option, & ! NOTE: k=0 is a valid arg
196 : r, L, T, P, opacity, rho, dV, chiRho, chiT, Cp, gradr, grada, scale_height, &
197 : iso, XH1, cgrav, m, gradL_composition_term, mixing_length_alpha, &
198 : alpha_semiconvection, thermohaline_coeff, &
199 : mixing_type, gradT, Y_face, conv_vel, D, Gamma, ierr)
200 79994 : use star_utils
201 : use tdc_hydro, only: compute_tdc_Eq_cell, compute_tdc_Eq_div_w_face
202 : type (star_info), pointer :: s
203 : integer, intent(in) :: k
204 : character (len=*), intent(in) :: MLT_option
205 : type(auto_diff_real_star_order1), intent(in) :: &
206 : r, L, T, P, opacity, rho, dV, chiRho, chiT, Cp, gradr, grada, scale_height
207 : integer, intent(in) :: iso
208 : real(dp), intent(in) :: &
209 : XH1, cgrav, m, gradL_composition_term, &
210 : mixing_length_alpha, alpha_semiconvection, thermohaline_coeff
211 : integer, intent(out) :: mixing_type
212 : type(auto_diff_real_star_order1), intent(out) :: gradT, Y_face, conv_vel, D, Gamma
213 : integer, intent(out) :: ierr
214 :
215 : type(auto_diff_real_star_order1) :: Pr, Pg, grav, Lambda, gradL, beta
216 79994 : real(dp) :: conv_vel_start, scale, max_conv_vel
217 :
218 : ! these are used by use_superad_reduction
219 79994 : real(dp) :: Gamma_limit, scale_value1, scale_value2, diff_grads_limit, reduction_limit, lambda_limit
220 : type(auto_diff_real_star_order1) :: Lrad_div_Ledd, Gamma_inv_threshold, Gamma_factor, alfa0, &
221 : diff_grads_factor, Gamma_term, exp_limit, grad_scale, gradr_scaled, Eq_div_w, check_Eq, mlt_Pturb, Ptot
222 : logical :: test_partials, using_TDC
223 : logical, parameter :: report = .false.
224 : include 'formats'
225 :
226 : ! check if this particular k can be done with TDC
227 79994 : using_TDC = .false.
228 79994 : if (s% MLT_option == 'TDC') using_TDC = .true.
229 79994 : if (.not. s% have_mlt_vc) using_TDC = .false.
230 79994 : if (k <= 0 .or. s%dt <= 0d0) using_TDC = .false.
231 140276 : if (using_TDC) using_TDC = .not. check_if_must_fall_back_to_MLT(s, k)
232 :
233 : ! Pre-calculate some things.
234 79994 : Eq_div_w = 0d0
235 79994 : if ((s% v_flag .or. s% u_flag) .and. k > 0 ) then ! only include Eq_div_w if v_flag or u_flag is true.
236 0 : if (using_TDC .and. s% alpha_TDC_DampM > 0) then
237 0 : if (s% mlt_vc(k) > 0) then ! calculate using mlt_vc from current timestep.
238 0 : check_Eq = compute_tdc_Eq_div_w_face(s, k, ierr)
239 0 : Eq_div_w = check_Eq
240 : end if
241 : end if
242 : end if
243 :
244 : ! Wrap Pturb into P
245 79994 : if (s% okay_to_set_mlt_vc .and. s% include_mlt_Pturb_in_thermodynamic_gradients .and. k > 0) then
246 0 : mlt_Pturb = s% mlt_Pturb_factor*pow2(s% mlt_vc_old(k))*get_rho_face(s,k)/3d0
247 0 : Ptot = P + mlt_Pturb
248 : else
249 79994 : Ptot = P
250 : end if
251 :
252 79994 : Pr = crad*pow4(T)/3d0
253 79994 : Pg = Ptot - Pr
254 79994 : beta = Pg / Ptot
255 79994 : Lambda = mixing_length_alpha*scale_height
256 :
257 79994 : if (k == 0) then
258 0 : grav = cgrav*m/pow2(r)
259 : else
260 79994 : grav = cgrav*m/pow2(r) !try replacing with wrap_geff_face(s,k)
261 : end if
262 :
263 79994 : if (s% use_Ledoux_criterion) then
264 0 : gradL = grada + gradL_composition_term ! Ledoux temperature gradient
265 : else
266 : gradL = grada
267 : end if
268 :
269 : ! maximum convection velocity.
270 79994 : if (k > 0) then
271 79994 : if (s% q(k) <= s% max_conv_vel_div_csound_maxq) then
272 0 : max_conv_vel = s% csound_face(k) * s% max_conv_vel_div_csound
273 : else
274 79994 : max_conv_vel = 1d99
275 : end if
276 : else ! if k == 0
277 0 : max_conv_vel = 1d99
278 : end if
279 :
280 :
281 : ! Initialize with no mixing
282 79994 : mixing_type = no_mixing
283 79994 : gradT = gradr
284 79994 : Y_face = gradT - gradL
285 79994 : conv_vel = 0d0
286 79994 : D = 0d0
287 79994 : Gamma = 0d0
288 79994 : if (k /= 0) s% superad_reduction_factor(k) = 1d0
289 :
290 : ! Bail if we asked for no mixing, or if parameters are bad.
291 : if (MLT_option == 'none' .or. beta < 1d-10 .or. mixing_length_alpha <= 0d0 .or. &
292 : opacity%val < 1d-10 .or. P%val < 1d-20 .or. T%val < 1d-10 .or. Rho%val < 1d-20 &
293 79994 : .or. m < 1d-10 .or. r%val < 1d-10 .or. cgrav < 1d-10) return
294 :
295 : !test_partials = (k == s% solver_test_partials_k)
296 79994 : test_partials = .false.
297 79994 : ierr = 0
298 79994 : if (k > 0) then
299 79994 : s% tdc_num_iters(k) = 0
300 : end if
301 :
302 : if (report) then
303 : write(*,'(A)')
304 : write(*,4) 'enter Get_results k slvr_itr model gradr grada scale_height ' // trim(MLT_option), &
305 : k, s% solver_iter, s% model_number, gradr%val, grada%val, scale_height%val
306 : end if
307 :
308 79994 : if (k >= 1) then
309 79994 : s% dvc_dt_TDC(k) = 0d0
310 : end if
311 79994 : if (using_TDC) then
312 : if (report) write(*,3) 'call set_TDC', k, s% solver_iter
313 65210 : if (s% okay_to_set_mlt_vc) then
314 42492 : conv_vel_start = s% mlt_vc_old(k)
315 : else
316 22718 : conv_vel_start = s% mlt_vc(k)
317 : end if
318 :
319 : ! Set scale for judging the TDC luminosity equation Q(Y)=0.
320 : ! Q has units of a luminosity, so the scale should be a luminosity.
321 65210 : if (s% solver_iter == 0) then
322 39866797 : scale = max(abs(s% L(k)), 1d-3*maxval(s% L(1:s% nz)))
323 : else
324 34776621 : scale = max(abs(s% L_start(k)), 1d-3*maxval(s% L_start(1:s% nz)))
325 : end if
326 :
327 : call set_TDC(&
328 : conv_vel_start, mixing_length_alpha, s% alpha_TDC_DAMP, s%alpha_TDC_DAMPR, s%alpha_TDC_PtdVdt, &
329 : s%dt, cgrav, m, report, &
330 : mixing_type, scale, chiT, chiRho, gradr, r, Ptot, T, rho, dV, Cp, opacity, &
331 : scale_height, gradL, grada, conv_vel, D, Y_face, gradT, s%tdc_num_iters(k), max_conv_vel, &
332 65210 : Eq_div_w, grav, s% include_mlt_corr_to_TDC, s% alpha_TDC_C, s% alpha_TDC_S, ierr)
333 65210 : s% dvc_dt_TDC(k) = (conv_vel%val - conv_vel_start) / s%dt
334 :
335 65210 : if (ierr /= 0) then
336 0 : if (s% report_ierr) write(*,*) 'ierr from set_TDC'
337 0 : return
338 : end if
339 :
340 : ! Experimental method to lower superadiabaticity. Call TDC again with an artificially reduced
341 : ! gradr if the resulting gradT would lead to the radiative luminosity approaching the Eddington
342 : ! limit, or when a density inversion is expected to happen.
343 : ! This is meant as an implicit alternative to okay_to_reduce_gradT_excess
344 65210 : if (s% use_superad_reduction) then
345 0 : call set_superad_reduction
346 0 : if (Gamma_factor > 1d0) then
347 : call set_TDC(&
348 : conv_vel_start, mixing_length_alpha, s% alpha_TDC_DAMP, s%alpha_TDC_DAMPR, s%alpha_TDC_PtdVdt, &
349 : s%dt, cgrav, m, report, &
350 : mixing_type, scale, chiT, chiRho, gradr_scaled, r, Ptot, T, rho, dV, Cp, opacity, &
351 : scale_height, gradL, grada, conv_vel, D, Y_face, gradT, s%tdc_num_iters(k), max_conv_vel, &
352 0 : Eq_div_w, grav, s% include_mlt_corr_to_TDC, s% alpha_TDC_C, s% alpha_TDC_S, ierr)
353 0 : s% dvc_dt_TDC(k) = (conv_vel%val - conv_vel_start) / s%dt
354 0 : if (ierr /= 0) then
355 0 : if (s% report_ierr) write(*,*) 'ierr from set_TDC when using superad_reduction'
356 0 : return
357 : end if
358 : end if
359 : end if
360 :
361 14784 : else if (gradr > gradL) then
362 : if (report) write(*,3) 'call set_MLT', k, s% solver_iter
363 : call set_MLT(MLT_option, mixing_length_alpha, s% Henyey_MLT_nu_param, s% Henyey_MLT_y_param, &
364 : chiT, chiRho, Cp, grav, Lambda, rho, Ptot, T, opacity, &
365 : gradr, grada, gradL, &
366 2729 : Gamma, gradT, Y_face, conv_vel, D, mixing_type, max_conv_vel, ierr)
367 :
368 :
369 2729 : if (ierr /= 0) then
370 0 : if (s% report_ierr) write(*,*) 'ierr from set_MLT'
371 0 : return
372 : end if
373 :
374 : ! Experimental method to lower superadiabaticity. Call MLT again with an artificially reduced
375 : ! gradr if the resulting gradT would lead to the radiative luminosity approaching the Eddington
376 : ! limit, or when a density inversion is expected to happen.
377 : ! This is meant as an implicit alternative to okay_to_reduce_gradT_excess
378 2729 : if (s% use_superad_reduction) then
379 0 : call set_superad_reduction
380 0 : if (Gamma_factor > 1d0) then
381 : call set_MLT(MLT_option, mixing_length_alpha, s% Henyey_MLT_nu_param, s% Henyey_MLT_y_param, &
382 : chiT, chiRho, Cp, grav, Lambda, rho, Ptot, T, opacity, &
383 : gradr_scaled, grada, gradL, &
384 0 : Gamma, gradT, Y_face, conv_vel, D, mixing_type, max_conv_vel, ierr)
385 :
386 0 : if (ierr /= 0) then
387 0 : if (s% report_ierr) write(*,*) 'ierr from set_MLT when using superad_reduction'
388 0 : return
389 : end if
390 : end if
391 : end if
392 : end if
393 :
394 : ! If we're not convecting, try thermohaline and semiconvection.
395 79994 : if (mixing_type == no_mixing) then
396 68285 : if (gradL_composition_term < 0) then
397 : if (report) write(*,3) 'call set_thermohaline', k, s% solver_iter
398 : call set_thermohaline(s%thermohaline_option, Lambda, grada, gradr, T, opacity, rho, Cp, gradL_composition_term, &
399 : iso, XH1, thermohaline_coeff, &
400 0 : D, gradT, Y_face, conv_vel, mixing_type, ierr)
401 0 : if (ierr /= 0) then
402 0 : if (s% report_ierr) write(*,*) 'ierr from set_thermohaline'
403 0 : return
404 : end if
405 68285 : else if (gradr > grada) then
406 : if (report) write(*,3) 'call set_semiconvection', k, s% solver_iter
407 : call set_semiconvection(L, Lambda, m, T, Ptot, Pr, beta, opacity, rho, alpha_semiconvection, &
408 : s% semiconvection_option, cgrav, Cp, gradr, grada, gradL, &
409 : gradL_composition_term, &
410 0 : gradT, Y_face, conv_vel, D, mixing_type, ierr)
411 0 : if (ierr /= 0) then
412 0 : if (s% report_ierr) write(*,*) 'ierr from set_semiconvection'
413 0 : return
414 : end if
415 : end if
416 : end if
417 :
418 : ! If there's too-little mixing to bother, or we hit a bad value, fall back on no mixing.
419 79994 : if (D%val < s% remove_small_D_limit .or. is_bad(D%val)) then
420 : if (report) write(*,2) 'D < s% remove_small_D_limit', k, D%val, s% remove_small_D_limit
421 68285 : mixing_type = no_mixing
422 68285 : gradT = gradr
423 68285 : Y_face = gradT - gradL
424 68285 : conv_vel = 0d0
425 68285 : D = 0d0
426 68285 : Gamma = 0d0
427 : end if
428 :
429 : ! Prevent convection near center of model for MLT or TDC pulsations
430 : ! We don't check for the using_TDC flag, because mlt is sometimes called when using TDC
431 79994 : if ( s% TDC_num_innermost_cells_forced_nonturbulent > 0 .and. &
432 79994 : k > s% nz - s% TDC_num_innermost_cells_forced_nonturbulent) then
433 : if (report) write(*,2) 'make TDC center cells non-turbulent', k
434 0 : mixing_type = no_mixing
435 0 : gradT = gradr
436 0 : Y_face = gradT - gradL
437 0 : conv_vel = 0d0
438 0 : D = 0d0
439 0 : Gamma = 0d0
440 : end if
441 :
442 :
443 : contains
444 :
445 0 : subroutine set_superad_reduction()
446 0 : Gamma_limit = s% superad_reduction_Gamma_limit
447 0 : scale_value1 = s% superad_reduction_Gamma_limit_scale
448 0 : scale_value2 = s% superad_reduction_Gamma_inv_scale
449 0 : diff_grads_limit = s% superad_reduction_diff_grads_limit
450 0 : reduction_limit = s% superad_reduction_limit
451 0 : Lrad_div_Ledd = 4d0*crad/3d0*pow4(T)/P*gradT
452 0 : Gamma_inv_threshold = 4d0*(1d0-beta)/(4d0-3*beta)
453 :
454 0 : Gamma_factor = 1d0
455 0 : if (gradT > gradL) then
456 0 : if (Lrad_div_Ledd > Gamma_limit .or. Lrad_div_Ledd > Gamma_inv_threshold) then
457 0 : alfa0 = (gradT-gradL)/diff_grads_limit
458 0 : if (alfa0 < 1d0) then
459 0 : diff_grads_factor = -alfa0*alfa0*alfa0*(-10d0 + alfa0*(15d0 - 6d0*alfa0))
460 : else
461 0 : diff_grads_factor = 1d0
462 : end if
463 :
464 0 : Gamma_term = 0d0
465 : !if (Lrad_div_Ledd > Gamma_limit) then
466 : ! Gamma_term = Gamma_term + scale_value1*pow2(Lrad_div_Ledd/Gamma_limit-1d0)
467 : !end if
468 : !if (Lrad_div_Ledd% val > Gamma_inv_threshold) then
469 : ! Gamma_term = Gamma_term + scale_value2*pow2(Lrad_div_Ledd/Gamma_inv_threshold-1d0)
470 : !end if
471 0 : if (Lrad_div_Ledd > Gamma_limit) then
472 0 : alfa0 = Lrad_div_Ledd/Gamma_limit-1d0
473 0 : if (alfa0 < 1d0) then
474 0 : Gamma_term = Gamma_term + scale_value1*(0.5d0*alfa0*alfa0)
475 : else
476 0 : Gamma_term = Gamma_term + scale_value1*(alfa0-0.5d0)
477 : end if
478 : !Gamma_term = Gamma_term + scale_value1*pow2(Lrad_div_Ledd/Gamma_limit-1d0)
479 : end if
480 0 : if (Lrad_div_Ledd% val > Gamma_inv_threshold) then
481 0 : alfa0 = Lrad_div_Ledd/Gamma_inv_threshold-1d0
482 0 : if (alfa0 < 1d0) then
483 0 : Gamma_term = Gamma_term + scale_value1*(0.5d0*alfa0*alfa0)
484 : else
485 0 : Gamma_term = Gamma_term + scale_value1*(alfa0-0.5d0)
486 : end if
487 : !Gamma_term = Gamma_term + scale_value2*pow2(Lrad_div_Ledd/Gamma_inv_threshold-1d0)
488 : end if
489 :
490 0 : if (Gamma_term > 0d0) then
491 0 : Gamma_factor = Gamma_term/pow(beta,0.5d0)*diff_grads_factor
492 0 : Gamma_factor = Gamma_factor + 1d0
493 0 : if (reduction_limit > 1d0) then
494 0 : lambda_limit = 2d0/(reduction_limit-1d0)
495 0 : exp_limit = exp(-lambda_limit*(Gamma_factor-1d0))
496 0 : Gamma_factor = 2d0*(reduction_limit-1d0)*(1d0/(1d0+exp_limit)-0.5d0)+1d0
497 : end if
498 : end if
499 : end if
500 : end if
501 0 : if (k /= 0) s% superad_reduction_factor(k) = Gamma_factor% val
502 0 : if (Gamma_factor > 1d0) then
503 0 : grad_scale = (gradr-gradL)/(Gamma_factor*gradr) + gradL/gradr
504 0 : gradr_scaled = grad_scale*gradr
505 : end if
506 79994 : end subroutine set_superad_reduction
507 : end subroutine Get_results
508 :
509 : end module turb_support
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