Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6891953 | Computers & Mathematics with Applications | 2018 | 22 Pages |
Abstract
In this paper, we present an improved third-order WENO-Z scheme to improve the order of convergence at critical points. This scheme is constructed through slightly modifying the local smoothness indicators of the conventional WENO-Z scheme with the way of Taylor expansion for third-order convergence. The present scheme is proved to be close to third-order by several standard accuracy tests. The performance enhancement of the WENO scheme through this modification is verified on a variety of one-dimensional and two-dimensional standard numerical experiments. Numerical results indicate that the present scheme provides better results in comparison with the earlier third-order WENO schemes like WENO-JS3, WENO-Z3.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Weizheng Xu, Weiguo Wu,