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http://dx.doi.org/10.4134/BKMS.2011.48.4.873

CENTRAL SCHEMES WITH LAX-WENDROFF TYPE TIME DISCRETIZATIONS  

Shin, Su-Yeon (Department of Mathematics Korea University)
Hwang, Woon-Jae (Department of Information and Mathematics Korea University)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.4, 2011 , pp. 873-896 More about this Journal
Abstract
The semi-discrete central scheme and central upwind scheme use Runge-Kutta (RK) time discretization. We do the Lax-Wendroff (LW) type time discretization for both schemes. We perform numerical experiments for various problems including two dimensional Riemann problems for Burgers' equation and Euler equations. The results show that the LW time discretization is more efficient in CPU time than the RK time discretization while maintaining the same order of accuracy.
Keywords
central scheme; Lax-Wendroff type time discretization;
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