SFEMaNS  version 5.3
Reference documentation for SFEMaNS
condlim_test_25.f90
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2  USE my_util
3  USE def_type_mesh
4  USE input_data
5 !!$ATTENTION
6 !!$Some subroutines have been commented to avoid warning messages when compiling executable.
7 !!$It can not be done in the module boundary_generic that expects all subroutines to be present.
8 !!$END ATTENTION
9  PUBLIC :: init_velocity_pressure
10 !!$ PUBLIC :: init_temperature
11  PUBLIC :: init_level_set
12  PUBLIC :: source_in_ns_momentum
13 !!$ PUBLIC :: source_in_temperature
14  PUBLIC :: source_in_level_set
15  PUBLIC :: vv_exact
16 !!$ PUBLIC :: imposed_velocity_by_penalty
17  PUBLIC :: pp_exact
18 !!$ PUBLIC :: temperature_exact
19  PUBLIC :: level_set_exact
20 !!$ PUBLIC :: penal_in_real_space
21 !!$ PUBLIC :: extension_velocity
22 !!$ PUBLIC :: Vexact
23 !!$ PUBLIC :: H_B_quasi_static
24 !!$ PUBLIC :: Hexact
25 !!$ PUBLIC :: Phiexact
26 !!$ PUBLIC :: Jexact_gauss
27 !!$ PUBLIC :: Eexact_gauss
28 !!$ PUBLIC :: init_maxwell
29 !!$ PUBLIC :: mu_bar_in_fourier_space
30 !!$ PUBLIC :: grad_mu_bar_in_fourier_space
31 !!$ PUBLIC :: mu_in_real_space
32  PRIVATE
33 
34 CONTAINS
35  !===============================================================================
36  ! Boundary conditions for Navier-Stokes
37  !===============================================================================
38 
39  !===Initialize velocity, pressure
40  SUBROUTINE init_velocity_pressure(mesh_f, mesh_c, time, dt, list_mode, &
41  un_m1, un, pn_m1, pn, phin_m1, phin)
42  IMPLICIT NONE
43  TYPE(mesh_type) :: mesh_f, mesh_c
44  REAL(KIND=8), INTENT(OUT):: time
45  REAL(KIND=8), INTENT(IN) :: dt
46  INTEGER, DIMENSION(:), INTENT(IN) :: list_mode
47  REAL(KIND=8), DIMENSION(:,:,:), INTENT(OUT):: un_m1, un
48  REAL(KIND=8), DIMENSION(:,:,:), INTENT(OUT):: pn_m1, pn, phin_m1, phin
49  INTEGER :: mode, i, j
50  REAL(KIND=8), DIMENSION(mesh_c%np) :: pn_m2
51 
52  time = 0.d0
53  DO i= 1, SIZE(list_mode)
54  mode = list_mode(i)
55  DO j = 1, 6
56  !===velocity
57  un_m1(:,j,i) = vv_exact(j,mesh_f%rr,mode,time-dt)
58  un(:,j,i) = vv_exact(j,mesh_f%rr,mode,time)
59  END DO
60  DO j = 1, 2
61  !===pressure
62  pn_m2(:) = pp_exact(j,mesh_c%rr,mode,time-2*dt)
63  pn_m1(:,j,i) = pp_exact(j,mesh_c%rr,mode,time-dt)
64  pn(:,j,i) = pp_exact(j,mesh_c%rr,mode,time)
65  phin_m1(:,j,i) = pn_m1(:,j,i) - pn_m2(:)
66  phin(:,j,i) = pn(:,j,i) - pn_m1(:,j,i)
67  ENDDO
68  ENDDO
69  END SUBROUTINE init_velocity_pressure
70 
71 !!$ !===Initialize temperature
72 !!$ SUBROUTINE init_temperature(mesh, time, dt, list_mode, tempn_m1, tempn)
73 !!$ IMPLICIT NONE
74 !!$ TYPE(mesh_type) :: mesh
75 !!$ REAL(KIND=8), INTENT(OUT):: time
76 !!$ REAL(KIND=8), INTENT(IN) :: dt
77 !!$ INTEGER, DIMENSION(:), INTENT(IN) :: list_mode
78 !!$ REAL(KIND=8), DIMENSION(:,:,:), INTENT(OUT):: tempn_m1, tempn
79 !!$ INTEGER :: mode, i, j
80 !!$
81 !!$ time = 0.d0
82 !!$ DO i= 1, SIZE(list_mode)
83 !!$ mode = list_mode(i)
84 !!$ DO j = 1, 2
85 !!$ tempn_m1(:,j,i) = temperature_exact(j, mesh%rr, mode, time-dt)
86 !!$ tempn (:,j,i) = temperature_exact(j, mesh%rr, mode, time)
87 !!$ ENDDO
88 !!$ ENDDO
89 !!$ END SUBROUTINE init_temperature
90 
91  !===Initialize level_set
92  SUBROUTINE init_level_set(vv_mesh, time, &
93  dt, list_mode, level_set_m1, level_set)
94  IMPLICIT NONE
95  TYPE(mesh_type) :: vv_mesh
96  REAL(KIND=8), INTENT(OUT):: time
97  REAL(KIND=8), INTENT(IN) :: dt
98  INTEGER, DIMENSION(:), INTENT(IN) :: list_mode
99  REAL(KIND=8), DIMENSION(:,:,:,:), INTENT(OUT):: level_set, level_set_m1
100  INTEGER :: mode, i, j, n
101 
102  time = 0.d0
103  DO i= 1, SIZE(list_mode)
104  mode = list_mode(i)
105  DO j = 1, 2
106  !===level_set
107  DO n = 1, inputs%nb_fluid -1
108  level_set_m1(n,:,j,i) = level_set_exact(n,j,vv_mesh%rr,mode,time-dt)
109  level_set(n,:,j,i) = level_set_exact(n,j,vv_mesh%rr,mode,time)
110  END DO
111  END DO
112  END DO
113 
114  END SUBROUTINE init_level_set
115 
116  !===Source in momemtum equation. Always called.
117  FUNCTION source_in_ns_momentum(TYPE, rr, mode, i, time, Re, ty, opt_density, opt_tempn) RESULT(vv)
118  IMPLICIT NONE
119  INTEGER , INTENT(IN) :: TYPE
120  REAL(KIND=8), DIMENSION(:,:), INTENT(IN) :: rr
121  INTEGER , INTENT(IN) :: mode, i
122  REAL(KIND=8), INTENT(IN) :: time
123  REAL(KIND=8), INTENT(IN) :: Re
124  CHARACTER(LEN=2), INTENT(IN) :: ty
125  REAL(KIND=8), DIMENSION(:,:,:), OPTIONAL, INTENT(IN) :: opt_density
126  REAL(KIND=8), DIMENSION(:,:,:), OPTIONAL, INTENT(IN) :: opt_tempn
127  REAL(KIND=8), DIMENSION(SIZE(rr,2)) :: vv
128  REAL(KIND=8), DIMENSION(SIZE(rr,2)) :: r, z
129  INTEGER :: m
130  REAL(KIND=8) :: t
131  CHARACTER(LEN=2) :: np
132 
133  IF (PRESENT(opt_tempn)) CALL error_petsc('temperature should not be present for test 25')
134 
135  r = rr(1,:)
136  z = rr(2,:)
137  m = mode
138  t = time
139 
140  IF (m==0 .AND. type==1) THEN
141  vv = -r**3*(1+r**2+z**2)*sin(-z+t)**2
142  ELSE IF (m==0 .AND. type==3) THEN
143  vv = r**2*(1+r**2+z**2)*cos(-z+t) &
144  - 1/re*(3.d0+4.d0*r**2+3.d0*z**2 &
145  - r**4 - r**2*z**2)*sin(-z+t) &
146  + 2.d0/re*z*r**2*cos(-z+t)
147  ELSE
148  vv = 0.d0
149  END IF
150  RETURN
151 
152  !===Dummies variables to avoid warning
153  m=i; m=SIZE(opt_density,1); np=ty
154  !===Dummies variables to avoid warning
155  END FUNCTION source_in_ns_momentum
156 
157 !!$ !===Extra source in temperature equation. Always called.
158 !!$ FUNCTION source_in_temperature(TYPE, rr, m, t)RESULT(vv)
159 !!$ IMPLICIT NONE
160 !!$ INTEGER , INTENT(IN) :: TYPE
161 !!$ REAL(KIND=8), DIMENSION(:,:), INTENT(IN) :: rr
162 !!$ INTEGER , INTENT(IN) :: m
163 !!$ REAL(KIND=8), INTENT(IN) :: t
164 !!$ REAL(KIND=8), DIMENSION(SIZE(rr,2)) :: vv
165 !!$
166 !!$ vv = 0.d0
167 !!$ CALL error_petsc('source_in_temperature: should not be called for this test')
168 !!$ RETURN
169 !!$ END FUNCTION source_in_temperature
170 
171  !===Extra source in level set equation. Always called.
172  FUNCTION source_in_level_set(interface_nb,TYPE, rr, m, t)RESULT(vv)
173  IMPLICIT NONE
174  INTEGER , INTENT(IN) :: TYPE
175  REAL(KIND=8), DIMENSION(:,:), INTENT(IN) :: rr
176  INTEGER , INTENT(IN) :: m, interface_nb
177  REAL(KIND=8), INTENT(IN) :: t
178  REAL(KIND=8), DIMENSION(SIZE(rr,2)) :: vv
179  REAL(KIND=8) :: r
180  INTEGER :: n
181 
182  vv = 0.d0
183  RETURN
184 
185  !===Dummies variables to avoid warning
186  n=type; n=SIZE(rr,1); n=m; n=interface_nb; r=t
187  !===Dummies variables to avoid warning
188  END FUNCTION source_in_level_set
189 
190  !===Velocity for boundary conditions in Navier-Stokes.
191  !===Can be used also to initialize velocity in: init_velocity_pressure_temperature
192  FUNCTION vv_exact(TYPE,rr,m,t) RESULT(vv)
193  IMPLICIT NONE
194  INTEGER , INTENT(IN) :: TYPE
195  REAL(KIND=8), DIMENSION(:,:), INTENT(IN) :: rr
196  INTEGER, INTENT(IN) :: m
197  REAL(KIND=8), INTENT(IN) :: t
198  REAL(KIND=8), DIMENSION(SIZE(rr,2)) :: vv
199  REAL(KIND=8), DIMENSION(SIZE(rr,2)) :: r, z
200 
201  r = rr(1,:)
202  z = rr(2,:)
203 
204  IF (m==0 .AND. type==3) THEN
205  vv = r**2*sin(-z+t)
206  ELSE
207  vv = 0.d0
208  END IF
209  RETURN
210  END FUNCTION vv_exact
211 
212 !!$ !===Solid velocity imposed when using penalty technique
213 !!$ !===Defined in Fourier space on mode 0 only.
214 !!$ FUNCTION imposed_velocity_by_penalty(rr,t) RESULT(vv)
215 !!$ IMPLICIT NONE
216 !!$ REAL(KIND=8), DIMENSION(:,:), INTENT(IN) :: rr
217 !!$ REAL(KIND=8), INTENT(IN) :: t
218 !!$ REAL(KIND=8), DIMENSION(SIZE(rr,2),6) :: vv
219 !!$
220 !!$ vv=0.d0
221 !!$ RETURN
222 !!$ END FUNCTION imposed_velocity_by_penalty
223 
224  !===Pressure for boundary conditions in Navier-Stokes.
225  !===Can be used also to initialize pressure in the subroutine init_velocity_pressure.
226  !===Use this routine for outflow BCs only.
227  !===CAUTION: Do not enfore BCs on pressure where normal component
228  ! of velocity is prescribed.
229  FUNCTION pp_exact(TYPE,rr,m,t) RESULT (vv)
230  IMPLICIT NONE
231  INTEGER , INTENT(IN) :: TYPE
232  REAL(KIND=8), DIMENSION(:,:), INTENT(IN) :: rr
233  INTEGER , INTENT(IN) :: m
234  REAL(KIND=8), INTENT(IN) :: t
235  REAL(KIND=8), DIMENSION(SIZE(rr,2)) :: vv
236  REAL(KIND=8) :: r
237  INTEGER :: n
238 
239  vv = 0.d0
240  RETURN
241 
242  !===Dummies variables to avoid warning
243  n=type; n=SIZE(rr,1); n=m; r=t
244  !===Dummies variables to avoid warning
245  END FUNCTION pp_exact
246 
247 !!$ !===Temperature for boundary conditions in temperature equation.
248 !!$ FUNCTION temperature_exact(TYPE,rr,m,t) RESULT (vv)
249 !!$ IMPLICIT NONE
250 !!$ INTEGER , INTENT(IN) :: TYPE
251 !!$ REAL(KIND=8), DIMENSION(:,:), INTENT(IN) :: rr
252 !!$ INTEGER , INTENT(IN) :: m
253 !!$ REAL(KIND=8), INTENT(IN) :: t
254 !!$ REAL(KIND=8), DIMENSION(SIZE(rr,2)) :: vv
255 !!$
256 !!$ vv = 0.d0
257 !!$ CALL error_petsc('temperature_exact: should not be called for this test')
258 !!$ RETURN
259 !!$ END FUNCTION temperature_exact
260 
261  !===Can be used to initialize level set in the subroutine init_level_set.
262  FUNCTION level_set_exact(interface_nb,TYPE,rr,m,t) RESULT (vv)
263  IMPLICIT NONE
264  INTEGER , INTENT(IN) :: TYPE
265  REAL(KIND=8), DIMENSION(:,:), INTENT(IN) :: rr
266  INTEGER , INTENT(IN) :: m, interface_nb
267  REAL(KIND=8), INTENT(IN) :: t
268  REAL(KIND=8), DIMENSION(SIZE(rr,2)) :: vv
269  REAL(KIND=8) :: r
270 
271  IF (interface_nb==1) THEN
272  IF (m==0 .AND. TYPE ==1) then
273  vv = rr(1,:)**2 + rr(2,:)**2
274  ELSE
275  vv = 0.d0
276  END IF
277  ELSE
278  CALL error_petsc(' BUG in level_set_exact, we should compute only 1 level set')
279  END IF
280  RETURN
281 
282  !===Dummies variables to avoid warning
283  r=t
284  !===Dummies variables to avoid warning
285  END FUNCTION level_set_exact
286 
287 !!$ !===Penalty coefficient (if needed)
288 !!$ !===This coefficient is equal to zero in subdomain
289 !!$ !===where penalty is applied (penalty is zero in solid)
290 !!$ FUNCTION penal_in_real_space(mesh,rr_gauss,angles,nb_angles,nb,ne,time) RESULT(vv)
291 !!$ IMPLICIT NONE
292 !!$ TYPE(mesh_type) :: mesh
293 !!$ REAL(KIND=8), DIMENSION(:,:), INTENT(IN) :: rr_gauss
294 !!$ REAL(KIND=8), DIMENSION(:), INTENT(IN) :: angles
295 !!$ INTEGER, INTENT(IN) :: nb_angles
296 !!$ INTEGER, INTENT(IN) :: nb, ne
297 !!$ REAL(KIND=8), INTENT(IN) :: time
298 !!$ REAL(KIND=8), DIMENSION(nb_angles,ne-nb+1) :: vv
299 !!$
300 !!$ vv = 1.d0
301 !!$ CALL error_petsc('penal_in_real_space: should not be called for this test')
302 !!$ RETURN
303 !!$ END FUNCTION penal_in_real_space
304 
305 !!$ !===Extension of the velocity field in the solid.
306 !!$ !===Used when temperature or Maxwell equations are solved.
307 !!$ !===It extends the velocity field on the Navier-Stokes domain to a
308 !!$ !===velocity field on the temperature and the Maxwell domain.
309 !!$ !===It is also used if problem type=mxw and restart velocity
310 !!$ !===is set to true in data (type problem denoted mxx in the code).
311 !!$ FUNCTION extension_velocity(TYPE, H_mesh, mode, t, n_start) RESULT(vv)
312 !!$ IMPLICIT NONE
313 !!$ TYPE(mesh_type), INTENT(IN) :: H_mesh
314 !!$ INTEGER , INTENT(IN) :: TYPE, n_start
315 !!$ INTEGER, INTENT(IN) :: mode
316 !!$ REAL(KIND=8), INTENT(IN) :: t
317 !!$ REAL(KIND=8), DIMENSION(H_Mesh%np) :: vv
318 !!$
319 !!$ vv = 0.d0
320 !!$ RETURN
321 !!$
322 !!$ END FUNCTION extension_velocity
323 
324  !===============================================================================
325  ! Boundary conditions for Maxwell
326  !===============================================================================
327 !!$ !===Velocity used in the induction equation.
328 !!$ !===Used only if problem type is mxw and restart velocity is false
329 !!$ FUNCTION Vexact(m, H_mesh) RESULT(vv) !Set uniquement a l'induction
330 !!$ IMPLICIT NONE
331 !!$ TYPE(mesh_type), INTENT(IN) :: H_mesh
332 !!$ INTEGER, INTENT(IN) :: m
333 !!$ REAL(KIND=8), DIMENSION(H_mesh%np,6) :: vv
334 !!$
335 !!$ vv = 0.d0
336 !!$ CALL error_petsc('Vexact: should not be called for this test')
337 !!$ END FUNCTION Vexact
338 
339 !!$ !===Magnetic field and magnetic induction for quasi-static approximation
340 !!$ !===if needed
341 !!$ FUNCTION H_B_quasi_static(char_h_b, rr, m) RESULT(vv)
342 !!$ IMPLICIT NONE
343 !!$ CHARACTER(LEN=1), INTENT(IN) :: char_h_b
344 !!$ REAL(KIND=8), DIMENSION(:,:), INTENT(IN) :: rr
345 !!$ INTEGER, INTENT(IN) :: m
346 !!$ REAL(KIND=8), DIMENSION(SIZE(rr,2),6) :: vv
347 !!$
348 !!$ vv = 0.d0
349 !!$ RETURN
350 !!$ END FUNCTION H_B_quasi_static
351 
352 !!$ !===Magnetic field for boundary conditions in the Maxwell equations.
353 !!$ FUNCTION Hexact(H_mesh,TYPE, rr, m, mu_H_field, t) RESULT(vv)
354 !!$ IMPLICIT NONE
355 !!$ TYPE(mesh_type), INTENT(IN) :: H_mesh
356 !!$ INTEGER , INTENT(IN) :: TYPE
357 !!$ REAL(KIND=8), DIMENSION(:,:), INTENT(IN) :: rr
358 !!$ INTEGER , INTENT(IN) :: m
359 !!$ REAL(KIND=8), INTENT(IN) :: t
360 !!$ REAL(KIND=8), DIMENSION(:), INTENT(IN) :: mu_H_field
361 !!$ REAL(KIND=8), DIMENSION(SIZE(rr,2)) :: vv
362 !!$
363 !!$ vv=0.d0
364 !!$ CALL error_petsc('Hexact: should not be called for this test')
365 !!$ RETURN
366 !!$ END FUNCTION Hexact
367 
368 !!$ !===Scalar potential for boundary conditions in the Maxwell equations.
369 !!$ FUNCTION Phiexact(TYPE, rr, m, mu_phi,t) RESULT(vv)
370 !!$ IMPLICIT NONE
371 !!$ INTEGER , INTENT(IN) :: TYPE
372 !!$ REAL(KIND=8), DIMENSION(:,:), INTENT(IN) :: rr
373 !!$ INTEGER , INTENT(IN) :: m
374 !!$ REAL(KIND=8), INTENT(IN) :: mu_phi, t
375 !!$ REAL(KIND=8), DIMENSION(SIZE(rr,2)) :: vv
376 !!$
377 !!$ vv=0.d0
378 !!$ CALL error_petsc('Phiexact: should not be called for this test')
379 !!$ RETURN
380 !!$ END FUNCTION Phiexact
381 
382 !!$ !===Current in Ohm's law. Curl(H) = sigma(E + uxB) + current
383 !!$ FUNCTION Jexact_gauss(TYPE, rr, m, mu_phi, sigma, mu_H, t, mesh_id, opt_B_ext) RESULT(vv)
384 !!$ IMPLICIT NONE
385 !!$ INTEGER , INTENT(IN) :: TYPE
386 !!$ REAL(KIND=8), DIMENSION(:), INTENT(IN) :: rr
387 !!$ INTEGER , INTENT(IN) :: m
388 !!$ REAL(KIND=8), INTENT(IN) :: mu_phi, sigma, mu_H, t
389 !!$ INTEGER , INTENT(IN) :: mesh_id
390 !!$ REAL(KIND=8), DIMENSION(6), OPTIONAL,INTENT(IN) :: opt_B_ext
391 !!$ REAL(KIND=8) :: vv
392 !!$ REAL(KIND=8) :: alpha,beta
393 !!$
394 !!$ vv=0.d0
395 !!$ CALL error_petsc('Jexact_gauss: should not be called for this test')
396 !!$ RETURN
397 !!$ END FUNCTION Jexact_gauss
398 
399 !!$ !===Electric field for Neumann BC (cf. doc)
400 !!$ FUNCTION Eexact_gauss(TYPE, rr, m, mu_phi, sigma, mu_H, t) RESULT(vv)
401 !!$ IMPLICIT NONE
402 !!$ INTEGER, INTENT(IN) :: TYPE
403 !!$ REAL(KIND=8), DIMENSION(:), INTENT(IN) :: rr
404 !!$ INTEGER, INTENT(IN) :: m
405 !!$ REAL(KIND=8), INTENT(IN) :: mu_phi, sigma, mu_H, t
406 !!$ REAL(KIND=8) :: vv
407 !!$
408 !!$ vv = 0.d0
409 !!$ CALL error_petsc('Eexact: should not be called for this test')
410 !!$ END FUNCTION Eexact_gauss
411 
412 !!$ !===Initialization of magnetic field and scalar potential (if present)
413 !!$ SUBROUTINE init_maxwell(H_mesh, phi_mesh, time, dt, mu_H_field, mu_phi, &
414 !!$ list_mode, Hn1, Hn, phin1, phin)
415 !!$ IMPLICIT NONE
416 !!$ TYPE(mesh_type) :: H_mesh, phi_mesh
417 !!$ REAL(KIND=8), INTENT(OUT):: time
418 !!$ REAL(KIND=8), INTENT(IN) :: dt
419 !!$ REAL(KIND=8), DIMENSION(:), INTENT(IN) :: mu_H_field
420 !!$ REAL(KIND=8), INTENT(IN) :: mu_phi
421 !!$ INTEGER, DIMENSION(:), INTENT(IN) :: list_mode
422 !!$ REAL(KIND=8), DIMENSION(:,:,:), INTENT(OUT):: Hn, Hn1
423 !!$ REAL(KIND=8), DIMENSION(:,:,:), INTENT(OUT):: phin, phin1
424 !!$
425 !!$ CALL error_petsc('init_maxwell: should not be called for this test')
426 !!$ END SUBROUTINE init_maxwell
427 
428 !!$ !===Analytical permeability (if needed)
429 !!$ !===This function is not needed unless the flag
430 !!$ !=== ===Use FEM Interpolation for magnetic permeability (true/false)
431 !!$ !===is activated and set to .FALSE. in the data data file. Default is .TRUE.
432 !!$ FUNCTION mu_bar_in_fourier_space(H_mesh,nb,ne,pts,pts_ids) RESULT(vv)
433 !!$ IMPLICIT NONE
434 !!$ TYPE(mesh_type), INTENT(IN) :: H_mesh
435 !!$ REAL(KIND=8), DIMENSION(ne-nb+1) :: vv
436 !!$ INTEGER, INTENT(IN) :: nb, ne
437 !!$ REAL(KIND=8),DIMENSION(2,ne-nb+1),OPTIONAL :: pts
438 !!$ INTEGER, DIMENSION(ne-nb+1), OPTIONAL :: pts_ids
439 !!$
440 !!$ vv = 1.d0
441 !!$ CALL error_petsc('mu_bar_in_fourier_space: should not be called for this test')
442 !!$ RETURN
443 !!$ END FUNCTION mu_bar_in_fourier_space
444 
445 !!$ !===Analytical mu_in_fourier_space (if needed)
446 !!$ !===This function is not needed unless the flag
447 !!$ !=== ===Use FEM Interpolation for magnetic permeability (true/false)
448 !!$ !===is activated and set to .FALSE. in the data data file. Default is .TRUE.
449 !!$ FUNCTION grad_mu_bar_in_fourier_space(pt,pt_id) RESULT(vv)
450 !!$ IMPLICIT NONE
451 !!$ REAL(KIND=8),DIMENSION(2), INTENT(in):: pt
452 !!$ INTEGER,DIMENSION(1), INTENT(in) :: pt_id
453 !!$ REAL(KIND=8),DIMENSION(2) :: vv
454 !!$
455 !!$ vv=0.d0
456 !!$ CALL error_petsc('grad_mu_bar_in_fourier_space: should not be called for this test')
457 !!$ RETURN
458 !!$ END FUNCTION grad_mu_bar_in_fourier_space
459 
460 !!$ !===Analytical permeability, mu in real space (if needed)
461 !!$ FUNCTION mu_in_real_space(H_mesh,angles,nb_angles,nb,ne,time) RESULT(vv)
462 !!$ IMPLICIT NONE
463 !!$ TYPE(mesh_type), INTENT(IN) :: H_mesh
464 !!$ REAL(KIND=8), DIMENSION(:), INTENT(IN) :: angles
465 !!$ INTEGER, INTENT(IN) :: nb_angles
466 !!$ INTEGER, INTENT(IN) :: nb, ne
467 !!$ REAL(KIND=8), INTENT(IN) :: time
468 !!$ REAL(KIND=8), DIMENSION(nb_angles,ne-nb+1) :: vv
469 !!$
470 !!$ vv = 1.d0
471 !!$ CALL error_petsc('mu_in_real_space: should not be called for this test')
472 !!$ RETURN
473 !!$ END FUNCTION mu_in_real_space
474 
475 END MODULE boundary_test_25
subroutine, public init_velocity_pressure(mesh_f, mesh_c, time, dt, list_mode, un_m1, un, pn_m1, pn, phin_m1, phin)
real(kind=8) function, dimension(size(rr, 2)), public source_in_level_set(interface_nb, TYPE, rr, m, t)
real(kind=8) function, dimension(size(rr, 2)), public level_set_exact(interface_nb, TYPE, rr, m, t)
subroutine error_petsc(string)
Definition: my_util.f90:16
type(my_data), public inputs
real(kind=8) function, dimension(size(rr, 2)), public source_in_ns_momentum(TYPE, rr, mode, i, time, Re, ty, opt_density, opt_tempn)
subroutine, public init_level_set(vv_mesh, time, dt, list_mode, level_set_m1, level_set)
real(kind=8) function, dimension(size(rr, 2)), public pp_exact(TYPE, rr, m, t)
real(kind=8) function, dimension(size(rr, 2)), public vv_exact(TYPE, rr, m, t)