Certain Aspects of Computer Simulation of Hypersonic Flows: Stability, Nonuniqueness, and Bifurcation of Numerical Solutions of the Navier–Stokes Equations

Abstract

A number of problems associated with the nonuniqueness of numerical solutions of the Navier–Stokes equations used for simulating processes of a hypersonic real gas flow past blunt bodies are considered. The processes of evolution of a stationary pattern of flow perturbed by a single pulse at an initial time instant are considered at different values of the governing parameters of the problem. The instability of the bifurcation type resulting in transition of the nonstationary process from one branch of solution to another and the attainment of a stationary regime is investigated.