TITLE

A PROBLEM-INDEPENDENT SLOPE LIMITING ALGORITHM FOR THE RUNGE-KUTTA DISCONTINUOUS GALERKIN METHOD

AUTHOR(S)
Tokareva, S. A.
PUB. DATE
July 2010
SOURCE
Computational Methods in Applied Mathematics;2010, Vol. 10 Issue 3, p326
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
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.
ACCESSION #
56097671

 

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