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Discontinuous Galerkin Finite Element Methods with Shock-capturing for Nonlinear Convection Dominated Models

出版	Max Planck Institute for Dynamics of Complex Technical Systems, 2013
URL	http://books.google.com.hk/books?id=GijNuQEACAAJ&hl=&source=gbs_api

註釋Abstract: 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.