Title
Hybrid finite volume weighted essentially non-oscillatory schemes with linear central reconstructions.
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.
Year
DOI
Venue
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 Wang120.73
Haiyan Yu291.59
Gang Li342179.69
Jinmei Gao400.68