Abstract | ||
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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. Fjordholm | 1 | 73 | 9.95 |
deep ray | 2 | 2 | 0.39 |