空气动力学学报2012，Vol.30Issue(6)：709-712,4.
5阶非线性WCNS和WENO差分格式频谱特性比较
Spectral property comparison of fifth-order nonlinear WCNS and WENO difference schemes
摘要
Abstract
Approximate dispersion relation (ADR) may represent modified wave numbers of nonlinear schemes, and a numerical procedure is proposed to compute the ADR. The ADRs of the fifth-order nonlinear WENO5 and WCNS-E-5 finite difference schemes are compared with each other to show their spectral property. The results indicate that the dispersion error of the WCNS-E-5 is smaller than that of the WENO5, and the dissipation error of the WCNS-E-5 is also smaller than that of the WENO5. The whole spectral property of the WCNS-E-5 is better than that of the WEN05.关键词
近似色散关系/激波捕捉格式/WCNS/WENO/修正波数Key words
approximate dispersion relation/ shock-capturing schemes/ WCNS/ WENO/ modified wavenumbers分类
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涂国华,邓小刚,毛枚良..5阶非线性WCNS和WENO差分格式频谱特性比较[J].空气动力学学报,2012,30(6):709-712,4.基金项目
国家重点基础研究发展计划项目(2009CB723800) （2009CB723800）
国家自然科学基金(11072259) （11072259）
空气动力学国家重点实验室研究基金(JBKY11010300) （JBKY11010300）
