Comparison of high-order finite volume and discontinuous Galerkin methods on 3D unstructured grids

A. F. Antoniadis, K. H. Iqbal, E. Shapiro, N. Asproulis, D. Drikakis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The paper presents a direct comparison of convergence properties of finite volume and discontinuous Galerkin methods of the same nominal order of accuracy. Convergence is evaluated on tetrahedral grids for an advection equation and manufactured solution of Euler equations. It is shown that for the test cases considered, the discontinuous Galerkin discretisation tends to recover the asymptotic range of convergence on coarser grids and yields a lower error norm by comparison with the finite volume discretisation.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics
Pages1886-1889
Number of pages4
DOIs
Publication statusPublished - 28 Nov 2011
EventInternational Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 - Halkidiki, Greece
Duration: 19 Sep 201125 Sep 2011

Publication series

NameAIP Conference Proceedings
Volume1389
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011
CountryGreece
CityHalkidiki
Period19/09/1125/09/11

Keywords

  • Discontinuous Galerkin
  • Finite Volume
  • High-order
  • Unstructured

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  • Cite this

    Antoniadis, A. F., Iqbal, K. H., Shapiro, E., Asproulis, N., & Drikakis, D. (2011). Comparison of high-order finite volume and discontinuous Galerkin methods on 3D unstructured grids. In Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics (pp. 1886-1889). (AIP Conference Proceedings; Vol. 1389). https://doi.org/10.1063/1.3636979