摘要
近似色散关系(ADR)可以用来分析非线性格式的修正波数。发展了一种求解ADR的数值方法,通过数值求解ADR比较了5阶非线性WENO5和WCNS-E-5有限差分格式的频谱特性。计算结果表明WCNS-E-5的色散误差比WENO5小,数值耗散也比WENO5小,整体性能比WENO5优越。
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 proper- ty. 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 WENO5.
出处
《空气动力学学报》
EI
CSCD
北大核心
2012年第6期709-712,共4页
Acta Aerodynamica Sinica
基金
国家重点基础研究发展计划项目(2009CB723800)
国家自然科学基金(11072259)
空气动力学国家重点实验室研究基金(JBKY11010300)
