Bull. Korean Math. Soc. 2011; 48(4): 873-896
Printed July 1, 2011
https://doi.org/10.4134/BKMS.2011.48.4.873
Copyright © The Korean Mathematical Society.
Suyeon Shin and Woonjae Hwang
Korea University, Korea University
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
MSC numbers: Primary 65M06
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