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Matem. Mod., 2013, Volume 25, Number 9, Pages 85–94 (Mi mm3403)  

This article is cited in 2 scientific papers (total in 2 papers)

Numerical simulation of acoustic waves scattering by isolated vortex structures

O. A. Doroninaa, N. S. Zhdanovab

a Moscow Institute of Physics and Technology
b Keldysh Institute of Applied Mathematics RAS

Abstract: 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, Gaussian-core vortex, Rankine vortex, linearized Euler equations.

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Document Type: Article
Received: 15.03.2013

Citation: O. A. Doronina, N. S. Zhdanova, “Numerical simulation of acoustic waves scattering by isolated vortex structures”, Matem. Mod., 25:9 (2013), 85–94

Citation in format AMSBIB
\Bibitem{DorZhd13}
\by O.~A.~Doronina, N.~S.~Zhdanova
\paper Numerical simulation of acoustic waves scattering by isolated vortex structures
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 9
\pages 85--94
\mathnet{http://mi.mathnet.ru/mm3403}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3203281}


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    This publication is cited in the following articles:
    1. P. A. Bakhvalov, “O zadanii volnovogo paketa v kruglom tsilindricheskom kanale nachalnymi dannymi v zadachakh lineinoi akustiki”, Preprinty IPM im. M. V. Keldysha, 2016, 079, 23 pp.  mathnet  crossref
    2. Doronina O.A., Bakhvalov P.A., Kozubskaya T.K., “Numerical study of acoustic radiation dynamics of a Rankine vortex”, Acoust. Phys., 62:4 (2016), 467–477  crossref  isi  elib  scopus
  • Математическое моделирование
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