A NEW MIXED VAN LEER FLUX SPLITTING FOR TRANSONIC VISCOUS FLOW

摘要

This paper presents a new approach for the simulation of transonic viscous flow : the Mixed Van Leer flux splitting (MVL). This strategy combines the robustness of the Van Leer flux splitting (VL) in capturing non linear waves (shocks) and the precision of the Central Scheme in representing the boundary layer. The problems with the Van Leer method are presented before the introduction of the new formulation. This correction to the VL approach is readily adaptable into a MUSCL formulation. Some numerical experiments are given to illustrate the benefits of the present approach.