Preprint No. MPIMD/13-03
Author(s): Hamdullah Yücel, Martin Stoll, Peter Benner
Email: yuecel@mpi-magdeburg.mpg.de
Date: 2013-01-30
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.
BibTeX:
@TECHREPORT{MPIMD13-03,
author = {Hamdullah Yücel and Martin Stoll and Peter Benner},
title = {Discontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated Models},
number = {MPIMD/13-03},
month = jan,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}