A New fourth order central WENO method for 3D hyperbolic conservation laws
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摘要
In this paper, a new fourth order central weighted non oscillatory (CWENO) scheme is presented to solve non-linear hyperbolic conservation laws in three spatial dimensions. The main idea of this method is a genuine three dimensional reconstruction procedure, in which a three dimensional interpolant is reconstructed from the cell average data. The procedure is performed on a staggered grid configuration and therefore, this method can be viewed as an extension of the previous work proposed by Levy et al. [5], [6] to the three dimensional problems. The performance of the method is demonstrated through some standard numerical test cases.
论文关键词:Central weighted non oscillatory,Hyperbolic systems,High order scheme,Three dimensional schemes
论文评审过程:Available online 25 April 2012.
论文官网地址:https://doi.org/10.1016/j.amc.2012.04.003