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Journal of Scientific Computing

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27-10-2017 | Technical Note

An Improved Third-Order WENO-Z Scheme

Authors: Weizheng Xu, Weiguo Wu

Published in: Journal of Scientific Computing | Issue 3/2018

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Abstract

In this paper, we develop an improved third-order WENO-Z scheme. Firstly, a new reference smoothness indicator is derived by slightly modifying that of WENO-N3 scheme proposed by Wu and Zhang (Int. J. Numer. Meth. Fl. 78:162–187, 2015). Then a new term is added to the weights of the developed scheme to further slightly increase the weight of less-smooth stencil. Some numerical experiments are provided to demonstrate that the improved scheme is stable and significantly outperforms the conventional third-order WENO scheme of Jiang and Shu, while providing essentially non-oscillatory solutions near strong discontinuities.

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Title: An Improved Third-Order WENO-Z Scheme
Authors: Weizheng Xu
Weiguo Wu
Publication date: 27-10-2017
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 3/2018
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-017-0587-4

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