Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models

被引：11

作者：

Yucel, Hamdullah ^{[1
]}

Stoll, Martin ^{[1
]}

Benner, Peter ^{[1
]}

机构：

[1] Max Planck Inst Dynam Complex Tech Syst, D-39106 Magdeburg, Germany

来源：

COMPUTERS & CHEMICAL ENGINEERING | 2013年 / 58卷

关键词：

Discontinuous Galerkin methods; Shock-capturing; Discontinuity sensor; Convection dominated problems; CONSERVATION-LAWS;

D O I：

10.1016/j.compchemeng.2013.07.011

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, convection-diffusion-reaction models with nonlinear reaction mechanisms, which are typical problems of chemical systems, are studied by using the upwind symmetric interior penalty Galerkin (SIPG) method. The local spurious oscillations are minimized by adding an artificial viscosity diffusion term to the original equations. A discontinuity sensor is used to detect the layers where unphysical oscillations occur. Finally, the proposed method is tested on various single- and multi-component problems. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：278 / 287

页数：10

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