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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 12, Pages 2265–2280 (Mi zvmmf4805)  
This article is cited in 14 scientific papers (total in 14 papers)

CABARET scheme for the numerical solution of aeroacoustics problems: Generalization to linearized one-dimensional Euler equations

V. M. Goloviznina, S. A. Karabasovb, T. K. Kozubskayaa, N. V. Maksimovb

a Institute of Safety in Nuclear Power Engineering, Russian Academy of Sciences, ul.. B.. Tul'skaya, 52, Moscow, 115191, Russia
b Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
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Abstract: A generalization of the CABARET finite difference scheme is proposed for linearized one-dimensional Euler equations based on the characteristic decomposition into local Riemann invariants. The new method is compared with several central finite difference schemes that are widely used in computational aeroacoustics. Numerical results for the propagation of an acoustic wave in a homogeneous field and the refraction of this wave through a contact discontinuity obtained on a strongly nonuniform grid are presented.
Key words: one-dimensional aeroacoustics problems, numerical solution of Euler equations, CABARET finite difference scheme.
Received: 12.12.2008
Revised: 22.04.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 12, Pages 2168–2182
DOI: https://doi.org/10.1134/S096554250912015X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. M. Goloviznin, S. A. Karabasov, T. K. Kozubskaya, N. V. Maksimov, “CABARET scheme for the numerical solution of aeroacoustics problems: Generalization to linearized one-dimensional Euler equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:12 (2009), 2265–2280; Comput. Math. Math. Phys., 49:12 (2009), 2168–2182
Citation in format AMSBIB
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\paper CABARET scheme for the numerical solution of aeroacoustics problems: Generalization to linearized one-dimensional Euler equations
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\yr 2009
\vol 49
\issue 12
\pages 2265--2280
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\jour Comput. Math. Math. Phys.
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\pages 2168--2182
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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