Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Matem. Mod.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matem. Mod., 2021, Volume 33, Number 5, Pages 47–56 (Mi mm4286)  

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

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


DOI: https://doi.org/10.20948/mm-2021-05-04

Full text: PDF file (1293 kB)
First page: PDF file
References: PDF file   HTML file

Received: 26.10.2020
Revised: 25.11.2020
Accepted:30.11.2020

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

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}


Linking options:
  • http://mi.mathnet.ru/eng/mm4286
  • http://mi.mathnet.ru/eng/mm/v33/i5/p47

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Математическое моделирование
    Number of views:
    This page:107
    References:4
    First page:4

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021