The kinetic scheme for the full-Burnett equations
| Autor: | Kun Xu, Taku Ohwada |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2004 |
| Předmět: |
Shock wave
Numerical Analysis Physics and Astronomy (miscellaneous) Burnett Applied Mathematics BGK equation super-Burnett Kinetic scheme Nonlinear Sciences::Cellular Automata and Lattice Gases Hagen–Poiseuille equation Boltzmann equation Computer Science Applications Physics::Fluid Dynamics Computational Mathematics Distribution function Collision frequency Modeling and Simulation Applied mathematics Shaping Chapman-Enskog expansion Constant (mathematics) kinetic scheme Mathematics Mathematical physics |
| Zdroj: | JOURNAL OF COMPUTATIONAL PHYSICS. 201(1):315-332 |
| ISSN: | 0021-9991 |
| Popis: | The present paper concerns two aspects for the Burnett equations. First, we are going to theoretically show the consistency between the traditional Chapman-Enskog expansion and the successive approximation for the BGK equation up to the super-Burnett order. Second, we will design a numerical scheme to efficiently solve the Burnett equations. The current approach is an improvement of the BGK-Burnett scheme [K. Xu. Phys. Fluids 15 (2003) 2077], where the locally constant collision frequency is considered. Based on the Burnett distribution function, a high order time accurate numerical flux is derived by different approaches. The resulting scheme is tested in the problem of normal shock wave and that of force-driven Poiseuille flow. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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