A new mixed AUSM+ Liou scheme: an extension of the mixed Van Leer flux splitting

Abstract

The upwind schemes are well suited to inviscid transonic flow but not to viscous flow. It is the opposite for central schemes. This paper presents a new approach which combines the central scheme and the upwind scheme. Liou's flux splitting is selected to define this new mixed AUSM⁺ Liou scheme. The results, obtained on supersonic viscous configuration, are compared to other schemes' results and to semi-empirical results. These calculations show the benefit of the present approach.