A New fourth order central WENO method for 3D hyperbolic conservation laws

作者：Lahooti Mohsen; Pishevar Ahmadreza^*

来源：Applied Mathematics and Computation, 2012, 218(20): 10258-10270.

DOI：10.1016/j.amc.2012.04.003

• Central weighted non oscillatory
• Hyperbolic systems
• High order scheme
• Three dimensional schemes

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.

• 出版日期2012-6-15