耗散紧致格式的频谱特性研究与应用  

Spectrum Characteristic of Dissipative Compact Schemes and Application to Couette Flow

作　　者：毛枚良[1] 邓小刚[1] 李松[1] 

机构地区：[1]中国空气动力研究与发展中心,四川绵阳621000

出　　处：《计算物理》2009年第3期371-377,共7页Chinese Journal of Computational Physics

基　　金：国家自然科学基金创新群体基金(批准号10621062)资助项目

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.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.

关 键 词：高精度格式 耗散紧致格式 FOURIER分析 群速度 相速度 

分 类 号：O354.4[理学—流体力学]