Construction of hybrid numerical flows that suppress the development of shock-wave instability
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.
hypersonic gas dynamics, numerical flux, discontinuous Galerkin method
Publication language:russian, pages:12
Mathematical modelling in actual problems of science and technics