Hybrid finite volume weighted essentially non-oscillatory schemes with linear central reconstructions

Xiufang Wang, Haiyan Yu, Gang Li and Jinmei Gao

Applied Mathematics and Computation, 2019, vol. 359, issue C, 132-147

Abstract: 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.

Keywords: WENO reconstruction; Linear central reconstruction; Discontinuity indicator; Hyperbolic conservation laws; Hybrid schemes (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:359:y:2019:i:c:p:132-147

DOI: 10.1016/j.amc.2019.04.025

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