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

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] and [6] to the three dimensional problems. The performance of the method is demonstrated through some standard numerical test cases.