ACCURATE AND EFFICIENT RIEMANN SOLVER FOR EULER AND NAVIER-STOKES EQUATION

Abstract

The present paper deals with an improvement of efficient and accurate numerical flux schemes for the hyperbolic conservation laws of aerodynamics. Due to numerical approximation and linearization, many flux schemes suffer shock instability and unwanted oscillations. The proposed schemes, called AUSMPW+ and RoeM, cure these problems and numerical tests show the robustness, accuracy and efficiency of both flux schemes.