A High-Resolution Hybrid Compact-ENO Scheme for Shock-Turbulence Interaction Problems
A High-Resolution Hybrid Compact-ENO Scheme for Shock-Turbulence Interaction Problems
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DOI：
10.1006/jcph.1996.0156
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发表时间：
1996-08
影响因子：
4.1
通讯作者：
N. Adams;K. Shariff
中科院分区：
文献类型：
--
作者：
N. Adams;K. Shariff
本文提出了一类适用于流体对流问题的时间精确直接数值模拟的具有紧致模板的逆风偏置有限差分格式。这些方案给出一致的高近似阶，并允许类似频谱的波分辨率，同时耗散非分辨波数。当在不连续点附近与基本非振荡格式耦合时，紧致格式成为激波捕获格式，并保持其分辨率特性。详细讨论了紧格式的推导过程。分析了它们的收敛性、分辨率和数值稳定性。介绍了上绕和耦合过程。给出了典型非线性波相互作用问题的应用实例。
A class of upwind-biased finite-difference schemes with a compact stencil is proposed in general form, suitable for the time-accurate direct numerical simulation of fluid-convection problems. These schemes give uniformly high approximation order and allow for a spectral-like wave resolution while dissipating non-resolved wavenumbers. When coupled with an essentially non-oscillatory scheme near discontinuities, the compact schemes become shock-capturing and their resolution properties are preserved. The derivation of the compact schemes is discussed in detail. Their convergence and resolution properties as well as numerical stability are analyzed. Upwinding and coupling procedures are described. Application examples for typical non-linear wave interaction problems are given.