Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520100 | Journal of Computational Physics | 2012 | 25 Pages |
Abstract
In this paper, the multidimensional limiter for the second order finite volume schemes on the unstructured grid, namely the Weighted Biased Average procedure developed in our previous paper is extended to high order finite volume schemes solving hyperbolic conservation laws. This extension relies on two key techniques: the secondary reconstruction and the successive limiting procedure. These techniques are discussed in detail in the present paper. Numerical experiments shows that this limiting procedure is very effective in removing numerical oscillations in the vicinity of discontinuities. And furthermore this procedure is efficient, robust and accuracy preserving.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Wanai Li, Yu-Xin Ren,