A HIGH-RESOLUTION HYBRID COMPACT-ENO SCHEME FOR SHOCK-TURBULENCE INTERACTION PROBLEMS

Adams NA.; Shariff K.

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A HIGH-RESOLUTION HYBRID COMPACT-ENO SCHEME FOR SHOCK-TURBULENCE INTERACTION PROBLEMS

机译：湍流相互作用问题的高分辨率混合紧致方案

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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. (C) 1996 Academic Press, Inc. [References: 52]

机译：以一般形式提出了一类带有紧凑型模板的迎风偏置有限差分格式，适用于对流问题的时间精确的直接数值模拟。这些方案给出了统一的高逼近阶数，并在消除非分辨波数的同时提供了类似频谱的波分辨率。当与不连续点附近的基本非振荡方案结合使用时，紧凑型方案将具有震撼力，并保留其分辨率特性。详细讨论了紧凑方案的推导。分析了它们的收敛性和分辨率特性以及数值稳定性。描述了上风和耦合过程。给出了典型的非线性波相互作用问题的应用实例。（C）1996 Academic Press，Inc. [参考：52]

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《Journal of Computational Physics》 |1996年第1期|p. 27-51|共25页
作者
Adams NA.; Shariff K.;
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作者单位

ETH ZENTRUM SWISS FED INST TECHNOL ZURICH INST FLUID DYNAM CH-8092 ZURICH SWITZERLAND;

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正文语种 eng
中图分类应用物理学;
关键词
Finite-difference schemes; Hyperbolic conservation-laws; Direct numerical-simulation; Boundary-value problems; Efficient implementation; Capturing schemes; Layer flows; Stability; Approximations;

机译：有限差分方案;双曲守恒律;直接数值模拟;边值问题;有效实现;捕获方案;层流;稳定性;逼近;

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A HIGH-RESOLUTION HYBRID COMPACT-ENO SCHEME FOR SHOCK-TURBULENCE INTERACTION PROBLEMS

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