Simple derivation of high-resolution schemes for compressible flows by kinetic approach
Simple derivation of high-resolution schemes for compressible flows by kinetic approach
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DOI：
10.1016/j.jcp.2005.04.026
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发表时间：
2006-01
影响因子：
4.1
通讯作者：
T. Ohwada;S. Fukata
中科院分区：
文献类型：
--
作者：
T. Ohwada;S. Fukata
本文介绍了Ohwada和小林发展的可压缩Navier-Stokes方程的高分辨率格式。Phys.197（2004）116-138]在不使用任何特殊的动力学理论技术的情况下重新推导。通过引入人工平衡函数，简化了格式，提高了效率。新格式在双马赫反射、前台阶和激波边界层干扰等问题中表现出很好的性能。还提供了便于编程的详细信息。
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.