Stability of Nonlinear Convection–Diffusion–Reaction Systems in Discontinuous Galerkin Methods

被引：0
|
作者：
C. Michoski
A. Alexanderian
C. Paillet
E. J. Kubatko
C. Dawson
机构：
[1] University of Colorado at Boulder,Aerospace Engineering Sciences, Computational Mechanics and Geometry Laboratory (CMGLab)
[2] University of Texas at Austin,Institute for Computational Engineering and Sciences (ICES)
[3] North Carolina State University,Department of Mathematics
[4] The Ohio State University,Civil Engineering and Geodetic Engineering Department
[5] École normale supérieure de Cachan,Department of Mechanical Engineering
来源：
Journal of Scientific Computing | 2017年 / 70卷
关键词：
Stability analysis; Nonlinear; von Neumann; Discontinuous Galerkin; Runge–Kutta methods; RKSSP; RKC; Convection–Reaction–Diffusion;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work we provide an extension of the classical von Neumann stability analysis for high-order accurate discontinuous Galerkin methods applied to generalized nonlinear convection–reaction–diffusion systems. We provide a partial linearization under which a sufficient condition emerges that guarantees stability in this context. The stability behavior of these systems is then closely analyzed relative to Runge–Kutta Chebyshev (RKC) and strong stability preserving (RKSSP) temporal discretizations over a nonlinear system of reactive compressible gases arising in the study of atmospheric chemistry.
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页码：516 / 550
页数：34
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