Title
A sign preserving WENO reconstruction method
Abstract
We propose a third-order WENO reconstruction which satisfies the sign property, required for constructing high resolution entropy stable finite difference scheme for conservation laws. The reconstruction technique, which is termed as SP-WENO, is endowed with additional properties making it a more robust option compared to ENO schemes of the same order. The performance of the proposed reconstruction is demonstrated via a series of numerical experiments for linear and nonlinear scalar conservation laws. The scheme is easily extended to multi-dimensional conservation laws.
Year
DOI
Venue
2016
10.1007/s10915-015-0128-y
J. Sci. Comput.
Keywords
Field
DocType
Hyperbolic conservation laws, Finite difference schemes, Entropy stability, High-order reconstruction, WENO, Sign property
Mathematical optimization,Nonlinear system,Finite difference scheme,Mathematical analysis,Scalar (physics),Entropy stability,Mathematics,Conservation law
Journal
Volume
Issue
ISSN
68
1
1573-7691
Citations 
PageRank 
References 
2
0.39
4
Authors
2
Name
Order
Citations
PageRank
Ulrik S. Fjordholm1739.95
deep ray220.39