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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
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.
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; Math. Models Comput. Simul., 13:6 (2021), 1116–1121
Linking options:
https://www.mathnet.ru/eng/mm4286 https://www.mathnet.ru/eng/mm/v33/i5/p47
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Abstract page: | 341 | Full-text PDF : | 96 | References: | 29 | First page: | 10 |
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