Year: 2020
Author: Xiaohan Cheng, Jianhu Feng, Supei Zheng
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 4 : pp. 992–1007
Abstract
In this work, a fourth order weighted essentially non-oscillatory (WENO) scheme is developed for hyperbolic conservation laws. The new reconstruction is a convex combination of three linear reconstructions. To keep high order accuracy in smooth regions and maintain non-oscillatory near discontinuities, the nonlinear weights are carefully designed. The main advantage of the proposed scheme is that the scheme achieves one order of improvement in accuracy in smooth regions compared with the classical third order scheme when using the same spatial nodes. Several benchmark examples are presented to verify the scheme's fourth order accuracy and capacity of dealing with problems containing complicated structures.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2019-0097
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 4 : pp. 992–1007
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Hyperbolic conservation laws WENO scheme nonlinear weights Euler equations.
Author Details
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An Improved WENO-Z Scheme for Hyperbolic Conservation Laws with New Global Smoothness Indicator
Han, Shuang
Li, Mingjun
Mathematics, Vol. 11 (2023), Iss. 21 P.4449
https://doi.org/10.3390/math11214449 [Citations: 0]