High‐resolution simulation of inviscid flow in general domains

Abstract

SUMMARYIn this paper, a high-resolution ÿnite volume method for calculating solutions to a hyperbolic conservation law is presented. The method works in two space dimensions on general domains and uses curvilinear meshes. A non-trivial estimation of gradients needed for the reconstructions is presented. The paper contains examples of numerical solutions of the Euler gas dynamics equations.