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KIAM Preprint № 130, Moscow, 2020
Authors: Ladonkina M.E., Neklyudova O.A., Tishkin V.F.
Construction of hybrid numerical flows that suppress the development of shock-wave instability
Abstract:
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
Publication language: russian,  pages: 12
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Ladonkina Marina Eugenievna,  orcid.org/0000-0001-7596-1672KIAM RAS
  • Neklyudova Olga Alexandrovna,  orcid.org/0000-0001-9465-4782KIAM RAS
  • Tishkin Vladimir Fedorovich,  orcid.org/0000-0001-7295-7002KIAM RAS