Aufsatz
Fourier Analysis of DG Schemes for Advection‐Diffusion
Abstract
This work compares the wave propagation properties of discontinuous Galerkin (DG) schemes for advection‐diffusion problems in particular with respect to the discretization of diffusion terms. Extending previous investigations, the advection discretization now additionally varies between the choices of central or upwind fluxes. The results show that a previously recognized better performance of central schemes for well‐resolved problems only hold for even polynomial degrees and that upwind‐type discretizations also perform better on Gauss‐Lobatto nodes.
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Gefördert im Rahmen des Projekts DEALCitation
@article{doi:10.17170/kobra-202101283078,
author={Ortleb, Sigrun},
title={Fourier Analysis of DG Schemes for Advection‐Diffusion},
journal={Proceedings in applied mathematics and mechanics (PAMM)},
year={2021}
}
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3000 Ortleb, Sigrun
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5550 {{Harmonische Analyse}}
5550 {{Diskontinuierliche Galerkin-Methode}}
5550 {{Wellenausbreitung}}
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<resource xsi:schemaLocation="http://datacite.org/schema/kernel-2.2 http://schema.datacite.org/meta/kernel-2.2/metadata.xsd"> 2021-02-10T14:29:58Z 2021-02-10T14:29:58Z 2021-01-25 doi:10.17170/kobra-202101283078 http://hdl.handle.net/123456789/12490 Gefördert im Rahmen des Projekts DEAL eng Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ 510 Fourier Analysis of DG Schemes for Advection‐Diffusion Aufsatz This work compares the wave propagation properties of discontinuous Galerkin (DG) schemes for advection‐diffusion problems in particular with respect to the discretization of diffusion terms. Extending previous investigations, the advection discretization now additionally varies between the choices of central or upwind fluxes. The results show that a previously recognized better performance of central schemes for well‐resolved problems only hold for even polynomial degrees and that upwind‐type discretizations also perform better on Gauss‐Lobatto nodes. open access Ortleb, Sigrun doi:10.1002/pamm.202000233 Harmonische Analyse Diskontinuierliche Galerkin-Methode Wellenausbreitung publishedVersion EISSN 1617-7061 Issue 1 Proceedings in applied mathematics and mechanics (PAMM) Volume 20 false e202000233 </resource>
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