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This article is cited in 5 scientific papers (total in 5 papers)
On correlation between the discontinuous Galerkin method and MUSCL-type schemes
A. V. Rodionov Russian Federal Nuclear Center — VNIIEF, Sarov
Abstract:
The discontinuous Galerkin method is compared with MUSCL-type schemes. Description and analysis of schemes are presented as applied to the linear constant-coefficient advection equation. The techniques for generalizing schemes to nonlinear and multidimensional problems are considered. The distinctive features and correlations between the discontinuous Galerkin method and MUSCL-type schemes are revealed. The accuracy and efficiency criteria of the schemes when applied to different-type problems are discussed.
Keywords:
Godunov-type schemes, Riemann problem, piecewise-linear approximation, Shu and Osher test problem, double Mach reflection test problem.
Received: 16.03.2015
Citation:
A. V. Rodionov, “On correlation between the discontinuous Galerkin method and MUSCL-type schemes”, Matem. Mod., 27:10 (2015), 96–116; Math. Models Comput. Simul., 8:3 (2016), 285–300
Linking options:
https://www.mathnet.ru/eng/mm3660 https://www.mathnet.ru/eng/mm/v27/i10/p96
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Abstract page: | 304 | Full-text PDF : | 158 | References: | 73 | First page: | 15 |
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