The simulation of inviscid, compressible flows using an upwind kinetic method on unstructured grids

Abstract

Abstract A kinetic flux‐vector‐splitting method has been used to solve the Euler equations for inviscid, compressible flow on unstructured grids. This method is derived from the Boltzmann equation and is an upwind, cell‐centered, finite volume scheme with an explicit time‐stepping procedure. The Delaunay triangulation has been used to generate the grids. The approach is demonstrated for three flow field simulations, namely the subsonic flow over a two‐component high‐lift aerofoil, the transonic flow over an aerofoil and the supersonic flow in a channel.