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耗散紧致格式的频谱特性研究与应用
引用本文:毛枚良,邓小刚,李松. 耗散紧致格式的频谱特性研究与应用[J]. 计算物理, 2009, 26(3): 371-377. DOI: 10.3969/j.issn.1001-246X.2009.03.006
作者姓名:毛枚良  邓小刚  李松
作者单位:中国空气动力研究与发展中心, 四川 绵阳 621000
基金项目:国家自然科学基金创新研究群体基金 
摘    要:
采用Fourier分析方法,给出线性耗散紧致格式和基于m级Runge-Kutta时间积分方法的全离散格式的频谱特性,并应用五阶耗散紧致格式模拟典型高频波传播和超声速平面Couette流动的特征值问题及其稳定性边值问题,展示耗散紧致差分格式良好的频谱特性.

关 键 词:高精度格式  耗散紧致格式  Fourier分析  群速度  相速度  
收稿时间:2007-12-11
修稿时间:2008-07-05

Spectrum Characteristic of Dissipative Compact Schemes and Application to Couette Flow
MAO Meiliang,DENG Xiaogang,LI Song. Spectrum Characteristic of Dissipative Compact Schemes and Application to Couette Flow[J]. Chinese Journal of Computational Physics, 2009, 26(3): 371-377. DOI: 10.3969/j.issn.1001-246X.2009.03.006
Authors:MAO Meiliang  DENG Xiaogang  LI Song
Affiliation:China Aerodynamics Research and Development Center, Mianyang 621000, China
Abstract:
Spectrum characteristic of linear dissipative compact schemes and corresponding fully-discrete forms based on m-order Runge-Kutta algorithm are investigated by Fourier analysis.A 5-th order scheme is empolyed to study propagation of a classical high-frequency wave and eigen-value problem of a supersonic plane Couette flow as well as its boundary value stability.Numerical results demonstrate favorable spectrum characteristic of dissipative compact schemes.
Keywords:high-order accurate scheme  dissipative compact scheme  Fourier analysis  group velocity  phase velocity  
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