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Matematicheskoe modelirovanie, 2021, Volume 33, Number 5, Pages 47–56
DOI: https://doi.org/10.20948/mm-2021-05-04
(Mi mm4286)
 

This article is cited in 1 scientific paper (total in 1 paper)

Hybrid numerical flux for solving the problems of supersonic flow of solid bodies

M. E. Ladonkina, O. A. Nekliudova, V. F. Tishkin

Keldysh Institute of Applied Mathematics of RAS, Moscow
References:
Abstract: Numerical modeling of supersonic flow around solid bodies is a complex task due to the possibility of nonphysical instabilities that can affect the solution. In this paper, we propose a new hybrid numerical flux for calculating the fluxes of the Euler part of the Navier–Stokes system of equations. This flux avoids the occurrence of instability and maintains high accuracy on shock waves and boundary layers. This flux is a combination of Godunov's numerical flow and Rusanov–Lax–Friedrichs numerical flow. Numerical simulation of supersonic flow around a cruise missile Tomahawk has been carried out.
Keywords: hypersonic gas dynamics, numerical flux, discontinuous Galerkin method.
Funding agency Grant number
Russian Science Foundation 17-71-30014
Received: 26.10.2020
Revised: 25.11.2020
Accepted: 30.11.2020
English version:
Mathematical Models and Computer Simulations, 2021, Volume 13, Issue 6, Pages 1116–1121
DOI: https://doi.org/10.1134/S2070048221060120
Document Type: Article
Language: Russian
Citation: M. E. Ladonkina, O. A. Nekliudova, V. F. Tishkin, “Hybrid numerical flux for solving the problems of supersonic flow of solid bodies”, Matem. Mod., 33:5 (2021), 47–56; Math. Models Comput. Simul., 13:6 (2021), 1116–1121
Citation in format AMSBIB
\Bibitem{LadNekTis21}
\by M.~E.~Ladonkina, O.~A.~Nekliudova, V.~F.~Tishkin
\paper Hybrid numerical flux for solving the problems of supersonic flow of solid bodies
\jour Matem. Mod.
\yr 2021
\vol 33
\issue 5
\pages 47--56
\mathnet{http://mi.mathnet.ru/mm4286}
\crossref{https://doi.org/10.20948/mm-2021-05-04}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 6
\pages 1116--1121
\crossref{https://doi.org/10.1134/S2070048221060120}
Linking options:
  • https://www.mathnet.ru/eng/mm4286
  • https://www.mathnet.ru/eng/mm/v33/i5/p47
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    References:29
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