About using transparent boundary conditions in aeroacoustics
Matematičeskoe modelirovanie, Tome 19 (2007) no. 8, pp. 105-112.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{MM_2007_19_8_a12,
     author = {I. L. Sofronov},
     title = {About using transparent boundary conditions in aeroacoustics},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {105--112},
     publisher = {mathdoc},
     volume = {19},
     number = {8},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2007_19_8_a12/}
}
TY  - JOUR
AU  - I. L. Sofronov
TI  - About using transparent boundary conditions in aeroacoustics
JO  - Matematičeskoe modelirovanie
PY  - 2007
SP  - 105
EP  - 112
VL  - 19
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2007_19_8_a12/
LA  - ru
ID  - MM_2007_19_8_a12
ER  - 
%0 Journal Article
%A I. L. Sofronov
%T About using transparent boundary conditions in aeroacoustics
%J Matematičeskoe modelirovanie
%D 2007
%P 105-112
%V 19
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2007_19_8_a12/
%G ru
%F MM_2007_19_8_a12
I. L. Sofronov. About using transparent boundary conditions in aeroacoustics. Matematičeskoe modelirovanie, Tome 19 (2007) no. 8, pp. 105-112. http://geodesic.mathdoc.fr/item/MM_2007_19_8_a12/

[1] Lyrintzis A. S., “Review: The Use of Kirchhoff's method in computational aeroacoustics”, Journal of Fluids Engineering, 116:12 (1994), 665–676 | DOI

[2] Tsynkov S. V., “Numerical solution of problems on unbounded domains”, Appl. Numer. Math., 27 (1998), 465–532 | DOI | MR | Zbl

[3] Hagstrom T., “New results on absorbing layers and radiation boundary conditions”, Computational Wave Propagation, eds. M. Ainsworth, P. Davies, D. Duncan, P. Martin, and B. Rynne, Springer-Verlag, 2003, 1–42 | MR | Zbl

[4] Givoli D., “High-Order Local Non-Reflecting Boundary Conditions: A Review”, Wave Motion, 39 (2004), 319–326 | DOI | MR | Zbl

[5] Ryabenkii V. S., Metod raznostnykh potentsialov i ego prilozheniya, Fizmatlit, M., 2002

[6] Sofronov I. L., “Usloviya polnoi prozrachnosti na sfere dlya trekhmernogo volnovogo uravneniya”, Doklady RAN, 326:6 (1992) | Zbl

[7] Sofronov I. L., “Artificial boundary conditions of absolute transparency for two- and three-dimensional external time-dependent scattering problems”, Euro. J. Appl. Math., 9:6 (1998), 561–588 | DOI | MR | Zbl

[8] Sofronov I. L., “Non-reflecting inflow and outflow in wind tunnel for transonic time-accurate simulation”, J. Math. Anal. Appl., 221 (1998), 92–115 | DOI | MR | Zbl

[9] Hagstrom T., “Radiation boundary conditions for the numerical simulation of waves”, Acta Numer., 8 (1999), 47–106 | DOI | MR | Zbl

[10] Alpert B., Greengard L. and Hagstrom T., “Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation”, Journal of Computational Physics, 180 (2002), 270–296 | DOI | MR | Zbl

[11] Ryabenkii V. S., Turchaninov V. I., Tsynkov S. V., “Ispolzovanie lakun reshenii 3D-volnovogo uravneniya dlya vychisleniya resheniya zadachi Koshi na bolshikh vremenakh”, Matem. modelirovanie, 11:12 (1999), 113–126 | MR

[12] Grote M., Keller J., “Exact nonreflecting boundary conditions for the time dependent wave equation”, SIAM J. Appl. Math., 55:2 (1995) | DOI | MR | Zbl

[13] Grote M., “Nonreflecting Boundary Condition for Elastodynamic Scattering”, J. Comput. Phys., 161 (2000), 331–353 | DOI | MR | Zbl

[14] Berenger J.-P., “A perfectly matched layer for the absorption of electromagnetic wave”, Journal of Computational Physics, 114:2 (1994), 185–200 | DOI | MR | Zbl

[15] Becache E., Fauqueux S., Joly P., “Stability of perfectly matched layers group velocities and anisotropic waves”, JCP, 188 (2003), 399–433 | DOI | MR | Zbl

[16] Sofronov I. L., Podgornova O. V., “A spectral approach for generating non-local boundary conditions for external wave problems in anisotropic media”, Journal of Scientific Computing, 27:3 (2006), 419–430 | DOI | MR | Zbl

[17] Sofronov I., Zaitsev N., “Non-reflecting boundary conditions for anisotropic media”, Book of Abstracts. 77 Annual Meeting of the GAMM (March 27–31, 2006, TU Berlin), 362

[18] Second Computational Aeroacoustics Workshop on Benchmark Problems, Proceedings (4–5 November 1996, Florida State University, Tallahassee, Florida), NASA Conf. Publication

[19] Ballmann J., Britten G., Sofronov I., “Time-accurate inlet and outlet conditions for unsteady transonic channel flow”, AIAA Journal, 40:2 (2002), 1745–1754 | DOI

[20] Kroll N., Radespiel R., Rossow C.-C., Accurate and efficient flow solvers for 3D applications on structured meshes, Lecture Series 1994-05 of the von Karman Institute of Fluid Dynamics, 1994

[21] Jameson A. J., “Time dependent calculation using multigrid, with applications to unsteady flows past airfoils and wings”, AIAA, 1991, 1596