State vector splitting for the Euler equations of gasdynamics

Abstract

A new upwind scheme is introduced for the Euler equations of gasdynamics in multi- dimensions. Its relation to Steger-Warming Flux Vector Splitting is discussed. Imple- mentation of the conservative boundary condi- tions on solid walls is also given. The method is intuitive, easy to implement and does not require the generation of elaborate grids for complicated geometries. Several numerical examples demonstrating this advantage are presented.