An improved approximate Riemann solver for hypersonic bidimensional flows
We propose a new version of HLLEM approximate Riemann solver where local antidiffusive coefficients are calculated to have robustness and accuracy in the obtained scheme. We introduce the concept of Riemann-stability, property satisfied by our method, which guarantees its good behaviour in known difficult situations. Numerical results are presented to demonstrate the efficiency of our approach.
KeywordsTangential Velocity Riemann Problem Skin Friction Coefficient Hypersonic Flow Inviscid Flow
Unable to display preview. Download preview PDF.
- 1.J.J. Quirk, A Contribution to the Great Riemann Solver Debate, Icase Report 92-64, (1992)Google Scholar
- 2.A. Harten, P.D. Lax, B. Van Leer, On Upstream Differencing and Godunov Type Schemes for Hyperbolid Conservation Laws, lease Report 82-5, (1982)Google Scholar
- 5.P. Charrier, B. Dubroca, L. Flandrin, An Appriximate Riemann Solver for Hypersonic Bidimensional Flows, C.R. Acad. Sci. Paris. t. 317 serie 1, 1083–1086, (1993)Google Scholar
- 6.S. Obayashi, Y. Wada, Practical Formulation of a Positively Conservative Scheme, AIAA Journal, Vol.32, 1093–1095, (1994)Google Scholar