Spectral property comparison of fifth-order nonlinear WCNS and WENO difference schemes

被引：0
|
作者：
Tu, Guo-Hua [1 ,2 ]
Deng, Xiao-Gang [1 ,3 ]
Mao, Mei-Liang [1 ,4 ]
机构：
[1] State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang 621000, China
[2] Science and Technology on Scramjet Laboratory, Hypervelocity Aerodynamics Institute of CARDC, Mianyang 621000, China
[3] National University of Defense Technology, Changsha 410073, China
[4] Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, China
来源：
Kongqi Donglixue Xuebao/Acta Aerodynamica Sinica | 2012年 / 30卷 / 06期
关键词：
Finite difference method - Dispersions - Quantum theory;
D O I：
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中图分类号：
学科分类号：
摘要：
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 WENO5.
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页码：709 / 712
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