Simulations of Shallow Water Equations by Lax-Wendroff Weighted Essential Non-oscillatory Schemes

摘要：

In this paper we study a Lax-Wen&off-type time discretization procedure for the finite difference weighted essential nen-oseillatory (WENO) schemes to solve one-dimensienal shallow water equations with source terms. Extensive simulations are performed, as a result, the WENO schemes with Lax-Wendroff-type time diseretization can maintain nonoscillatory properties and more cost effective than that with Runge-Kutta time discretization.

关键词： Lax-Wendroff-type time discretization WENO Runge-Kutta shallow water equations

作者: Changna Lu Jianxian Qiu

作者单位: College of Math & Physics, Nanjing University of Information Science & Technology, Nanjing, 210044, Department of Mathematics, Nanjing University, Nanjing, Jiangsu 210093, China

会议类型: 国际会议

会议名称: 2010 International Conference on Application of Mathematics and Physics(2010国际数理科学与气象学术研讨会暨2010空间天气学研讨会 AMP2010)

会议地点: 南京

会议语种:英文

页码: 84-88

在线出版日期: 2010-05-08（万方平台首次上网日期，不代表论文的发表时间）