Numerical simulation of acoustic waves scattering by isolated vortex structures
Matematičeskoe modelirovanie, Tome 25 (2013) no. 9, pp. 85-94.

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

We consider a linear sound scattering by an isolated vortex as one of the fundamental problems in order to investigate an interaction of the vortex flow and acoustic waves. We present numerical simulation results for a planar wave scattered by a Gaussian-core vortex and a cylindrical point source acoustic wave scattered by a Rankine vortex. For numerical simulation we use the EBR scheme on meshes of different types. We compare results to the benchmark solution and we also compare different approaches to numerical simulation of the problem.
Keywords: linear scattering, acoustic waves, Rankine vortex, linearized Euler equations.
Mots-clés : Gaussian-core vortex
@article{MM_2013_25_9_a7,
     author = {O. A. Doronina and N. S. Zhdanova},
     title = {Numerical simulation of acoustic waves scattering by isolated vortex structures},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {85--94},
     publisher = {mathdoc},
     volume = {25},
     number = {9},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_9_a7/}
}
TY  - JOUR
AU  - O. A. Doronina
AU  - N. S. Zhdanova
TI  - Numerical simulation of acoustic waves scattering by isolated vortex structures
JO  - Matematičeskoe modelirovanie
PY  - 2013
SP  - 85
EP  - 94
VL  - 25
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2013_25_9_a7/
LA  - ru
ID  - MM_2013_25_9_a7
ER  - 
%0 Journal Article
%A O. A. Doronina
%A N. S. Zhdanova
%T Numerical simulation of acoustic waves scattering by isolated vortex structures
%J Matematičeskoe modelirovanie
%D 2013
%P 85-94
%V 25
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2013_25_9_a7/
%G ru
%F MM_2013_25_9_a7
O. A. Doronina; N. S. Zhdanova. Numerical simulation of acoustic waves scattering by isolated vortex structures. Matematičeskoe modelirovanie, Tome 25 (2013) no. 9, pp. 85-94. http://geodesic.mathdoc.fr/item/MM_2013_25_9_a7/

[1] Colonius T., Lele S., Moin P., “The scattering of sound waves by a vortex: numerical simulations”, J. Fluid Mech., 260 (1994), 271–298 | DOI

[2] Karabasov S., Kopiev V., Goloviznin V., On a classical problem of acoustic wave scattering by a free vortex: Numerical Modelling, AIAA paper, No 2009-3234

[3] Abalakin I. V., Kozubskaya T. K., “Skhema povyshennoi tochnosti na osnove reberno-orientirovannoi kvaziodnomernoi rekonstruktsii peremennykh dlya resheniya zadach aerodinamiki i aeroakustiki na tetraedralnykh setkakh”, Matematicheskoe modelirovanie, 25:8 (2013), 109–136

[4] Koobus B., Alauzet F., Dervieux A., “Numerical algorithms for unstructured meshes”, Computational Fluid Dynamics, ed. F. Magoules, CRC Press, 2011, 131–203 | DOI | Zbl

[5] Goloviznin V. M., Karabasov S. A., “Balansno-kharakteristicheskie skhemy na kusochno-postoyannykh nachalnykh dannykh. Pryzhkovyi perenos”, Matematicheskoe modelirovanie, 15:10 (2003), 71–83 | MR | Zbl

[6] Zharkov A. V., “Analiz aeroakustiki s ispolzovaniem sistemy Actran”, Vychislitelnyi eksperiment v aeroakustike, Sbornik tezisov Chetvertoi vserossiiskoi konferentsii (g. Svetlogorsk Kaliningradskoi obl., 17–22 sent. 2012 g.), MAKS Press, M., 2012, 70

[7] Abalakin I. V., Bakhvalov P. A., Gorobets A. V., Duben A. P., Kozubskaya T. K., “Parallelnyi programmnyi kompleks NOISETTE dlya krupnomasshtabnykh raschetov zadach aerodinamiki i aeroakustiki”, Vychislitelnye metody i programmirovanie, 13 (2012), 110–125