Super spectral viscosity method for nonlinear conservation laws  

作　　者：马和平 李会元 

机构地区：[1]Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P.R. China [2]Institute of Software, Chinese Academy of Sciences, Beijing 100080, P.R. China

出　　处：《Journal of Shanghai University(English Edition)》2006年第1期9-14,共6页上海大学学报（英文版）

基　　金：ProjectsupportedbyNationalNaturalScienceFoundationofChina(GrantNo.10471089)

摘　　要：In this paper, the super spectral viscosity （SSV） method is developed by introducing a spectrally small amount of high order regularization which is only activated on high frequencies. The resulting SSV approximation is stable and convergent to the exact entropy solution. A Gegenbauer-Chebyshev post-processing for the SSV solution is proposed to remove the spurious oscillations at the disconti-nuities and recover accuracy from the spectral approximation. The ssv method is applied to the scahr periodic Burgers equation and the one-dimensional system of Euler equations of gas dynamics. The numerical results exhibit high accuracy and resolution to the exact entropy solution,In this paper, the super spectral viscosity （SSV） method is developed by introducing a spectrally small amount of high order regularization which is only activated on high frequencies. The resulting SSV approximation is stable and convergent to the exact entropy solution. A Gegenbauer-Chebyshev post-processing for the SSV solution is proposed to remove the spurious oscillations at the disconti-nuities and recover accuracy from the spectral approximation. The ssv method is applied to the scahr periodic Burgers equation and the one-dimensional system of Euler equations of gas dynamics. The numerical results exhibit high accuracy and resolution to the exact entropy solution,

关 键 词：conservation laws super spectral viscosity Gegenbauer-Chebyshev post-processing. 

分 类 号：O354[理学—流体力学] O175.24[理学—力学]