A Problem-Independent Slope Limiting Algorithm for the Runge-Kutta Discontinuous Galerkin Method
Abstract: This paper deals with the new algorithm of slope limiting in the Runge- Kutta discontinuous Galerkin (RKDG) method. The slope limiting is applied at each intermediate step of the Runge-Kutta process to guarantee the monotonicity of the resulting RKDG scheme. The standard formulation of the RKDG method assumes a manual prescription of the special parameter used in the limiting procedure. Such definition of the limiter makes the method problem-dependent, which is disadvantageous for practical computations. A new problem-independent way of estimating the limiting parameter is proposed and its performance in the second- and third-order RKDG methods is studied in this paper.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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A Problem-Independent Slope Limiting Algorithm for the Runge-Kutta Discontinuous Galerkin Method ; volume:10 ; number:3 ; year:2010 ; pages:326-342
Computational methods in applied mathematics ; 10, Heft 3 (2010), 326-342
- Urheber
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Tokareva, S.A.
- DOI
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10.2478/cmam-2010-0019
- URN
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urn:nbn:de:101:1-2410261626040.302874555731
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:36 MESZ
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Beteiligte
- Tokareva, S.A.
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