期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 231, 期 11, 页码 4053-4077出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2012.01.029
关键词
High order finite volume scheme; Unstructured grids; WBAP limiter; Successive limiting
资金
- NSFC [1172153, 10932005]
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. (C) 2012 Elsevier Inc. All rights reserved.
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