On Statistical Spectral Property of Nonlinear Weights in High Order Schemes

doi:10.19596/j.cnki.1001-246x.7812

Abstract

Abstract: Fourier property of nonlinear weights and limiters in wave-space are analyzed. Firstly, a statistical method is designed to analyze Fourier property of nonlinear weights. Secondly, averaged values and deviations of nonlinear weights are shown, and values with change of wave-number are analyzed. It is helpful to comprehension of nonlinear schemes. The method is a guidance for designing shock-capture schemes.

Key words: nonlinear weights, shock sensors, Fourier analysis, shock-capture schemes

CLC Number:

O354

LI Li, LIU Xiaoyan, LI Xinliang, TIAN Baolin, LIANG Xian, HA Jincai. On Statistical Spectral Property of Nonlinear Weights in High Order Schemes[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 36(2): 127-140.

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