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

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• 作者：Hamdullah Y¨¹cel ; Martin Stoll ; Peter Benner
• 关键词：Discontinuous Galerkin methods ; Shock-capturing ; Discontinuity sensor ; Convection dominated problems
• 刊名：Computers and Chemical Engineering
• 出版年：2013
• 出版时间：11 November, 2013
• 年：2013
• 卷：58
• 期：Complete
• 页码：278-287
• 全文大小：2773 K

文摘

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.