Osher Flux with Entropy Fix for Two-Dimensional Euler Equations
| Autor: | Guohua Tu, Xiaogang Deng, Huayong Liu, Huajun Zhu, Meiliang Mao |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Finite volume method Mach reflection Applied Mathematics Mechanical Engineering Semi-implicit Euler method Mathematical analysis 010103 numerical & computational mathematics 01 natural sciences Backward Euler method 010305 fluids & plasmas Euler equations symbols.namesake Shock position Mach number Inviscid flow 0103 physical sciences symbols 0101 mathematics |
| Zdroj: | Advances in Applied Mathematics and Mechanics. 8:670-692 |
| ISSN: | 2075-1354 2070-0733 |
| Popis: | We compare in this paper the properties of Osher flux with O-variant and P-variant (Osher-O flux and Osher-P flux) in finite volume methods for the two-dimensional Euler equations and propose an entropy fix technique to improve their robustness. We consider both first-order and second-order reconstructions. For inviscid hypersonic flow past a circular cylinder, we observe different problems for different schemes: A first-order Osher-O scheme on quadrangular grids yields a carbuncle shock, while a first-order Osher-P scheme results in a dislocation shock for high Mach number cases. In addition, a second-order Osher scheme can also yield a carbuncle shock or be unstable. To improve the robustness of these schemes we propose an entropy fix technique, and then present numerical results to show the effectiveness of the proposed method. In addition, the influence of grid aspects ratio, relative shock position to the grid and Mach number on shock stability are tested. Viscous heating problem and double Mach reflection problem are simulated to test the influence of the entropy fix on contact resolution and boundary layer resolution. |
| Databáze: | OpenAIRE |
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