Title | ||
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Hybrid finite volume weighted essentially non-oscillatory schemes with linear central reconstructions. |
Abstract | ||
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In this research, by means of a discontinuity indicator to detect troubled cells, we propose hybrid finite volume weighted essentially non-oscillatory schemes in combination with linear central schemes for hyperbolic conservation laws. In smooth regions, we apply the simple linear central schemes to save CPU time. While in discontinuous regions, we adopt WENO schemes to maintain the essentially non-oscillatory property near discontinuities. Extensive numerical examples strongly suggest that the proposed hybrid schemes can save computational cost considerably in comparison with the same order pure WENO schemes and keep steep discontinuity transition at the same time. |
Year | DOI | Venue |
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2019 | 10.1016/j.amc.2019.04.025 | Applied Mathematics and Computation |
Keywords | Field | DocType |
WENO reconstruction,Linear central reconstruction,Discontinuity indicator,Hyperbolic conservation laws,Hybrid schemes | Classification of discontinuities,CPU time,Mathematical analysis,Discontinuity (linguistics),Finite volume method,Conservation law,Mathematics | Journal |
Volume | ISSN | Citations |
359 | 0096-3003 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xiufang Wang | 1 | 2 | 0.73 |
Haiyan Yu | 2 | 9 | 1.59 |
Gang Li | 3 | 421 | 79.69 |
Jinmei Gao | 4 | 0 | 0.68 |