Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models / Hamdullah Yücel, Martin Stoll, Peter Benner
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Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models
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87043442X
URN
urn:nbn:de:gbv:3:2-64164
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Publication history
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, January 30, 2013
Content
1 Online-Ressource (19 Seiten = 1,38 MB) : Diagramme
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Language
eng
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Abstract
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.
Series
Max Planck Institute Magdeburg Preprints ; 13-03 ppn:870173030