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Published in:
2007 | OriginalPaper | Chapter
Solution Limiters and Flux Limiters for High Order Discontinuous Galerkin Schemes
Author : Natalia Petrovskaya
Published in: Numerical Methods and Applications
Publisher: Springer Berlin Heidelberg
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We analyze a general concept of limiters for a high order DG scheme written for a 1-D problem. The limiters, which are local and do not require extended stencils, are incorporated into the solution reconstruction in order to meet the requirement of monotonicity and avoid spurious solution overshoots. A limiter
β
will be defined based on the solution jumps at grid interfaces. It will be shown that
β
should be 0 <
β
< 1 for a monotone approximate solution.