Email this article Correlation between the discontinuous Galerkin method and MUSCL-type schemes
- Authors: Rodionov A.V.1
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Affiliations:
- Russian Federal Nuclear Center (All-Russian Research Institute of Experimental Physics)
- Issue: Vol 8, No 3 (2016)
- Pages: 285-300
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/200901
- DOI: https://doi.org/10.1134/S207004821603008X
- ID: 200901
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Abstract
The discontinuous Galerkin method is compared with MUSCL-type schemes. The description and the analysis of the schemes are presented by using the solution of the linear advection equation as an example. The techniques for a generalization of these schemes to the case of solving nonlinear and multidimensional problems are considered. The correlation between the discontinuous Galerkin method and MUSCL-type schemes, as well as their distinctive features, are revealed. The criteria of the accuracy and the efficiency of the schemes as applied to problems of various classes are discussed.
About the authors
A. V. Rodionov
Russian Federal Nuclear Center (All-Russian Research Institute of Experimental Physics)
Author for correspondence.
Email: avrodionov@rambler.ru
Russian Federation, pr. Mira 37, Sarov, Nizhny Novgorod oblast, 607188
