Fourth-order Semi-discrete Scheme for Multidimensional Hyperbolic Systems of Conservation Laws
Cai Li(1),Feng Jianhu(2),Xie Wenxian(1)
(1 Northwestern Polytechnical University, Xi'an, 710072) (2 Chang'an University, Xi'an, 710064)

Abstract: based on a central weighted essentially non-oscillatory (CWENO) recon struction, a fourth-order semi-discrete scheme for multidimensional hyperbolic systems of conservation laws is presented. The local speed of wave propagation in the Riemann fans is considered to avoid staggering between two grids. This semi-discrete scheme is situated between upwind scheme and central scheme with a lower numerical dissipation. As an extension of third-order, semi-discrete method of Kurganov et al, the higher resolution and robustness of this scheme are demonstrated via several numerical examples.
Keywords: central weighted essentially non-oscillatory scheme, semi-discrete scheme, hyperbolic conservation laws.