Simple derivation of high-resolution schemes for compressible flows by kinetic approach
| Autor: | Satoshi Fukata, Taku Ohwada |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Applied Mathematics Mathematical analysis Kinetic scheme high-resolution scheme Compressible flow Computer Science Applications Euler equations Computational Mathematics symbols.namesake Simple (abstract algebra) Modeling and Simulation Kinetic theory of gases Compressibility symbols Applied mathematics High-resolution scheme Navier-Stokes equations Navier–Stokes equations kinetic scheme euler equations ComputingMethodologies_COMPUTERGRAPHICS Mathematics |
| Zdroj: | Journal of Computational Physics. 211:424-447 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/j.jcp.2005.04.026 |
| Popis: | The high-resolution scheme for the compressible Navier-Stokes equations developed in Ohwada and Kobayashi [Management of discontinuous reconstruction in kinetic schemes, J. Comput. Phys. 197 (2004) 116-138] is rederived without using any special techniques of kinetic theory. The scheme is simplified and its efficiency is improved by introducing an artificial equilibrium function. High performance of the new scheme is demonstrated in the problems of double-Mach-reflection, forward-facing step, and shock-boundary-layer interaction. The detailed information for easy programming is also given. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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