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Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models / Hamdullah Yücel, Martin Stoll, Peter Benner
VerfasserYücel, Hamdullah ; Stoll, Martin ; Benner, Peter
KörperschaftMax-Planck-Institut für Dynamik Komplexer Technischer Systeme
ErschienenMagdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, January 30, 2013
Umfang1 Online-Ressource (19 Seiten = 1,38 MB) : Diagramme
SpracheEnglisch
SerieMax Planck Institute Magdeburg Preprints ; 13-03
URNurn:nbn:de:gbv:3:2-64164 
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Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models [1.38 mb]
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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.