標題: A finite difference method with adaptive time mesh for hyperbolic traffic flow
作者: Cho, HJ
Hwang, MC
Jou, TJ
運輸與物流管理系 註:原交通所+運管所
Department of Transportation and Logistics Management
關鍵字: finite diffierence method;adaptive mesh;hyperbolic system;traffic simulation
公開日期: 2002
摘要: This paper presents a finite difference method with variable time mesh for the hyperbolic traffic flow. The width of each time step is determined by the ratio of uniform space mesh size and maximal characteristic velocity. The proposed adaptive time mesh scheme Is compatible with most of explicit finite difference methods. Numerical examples with different initial and boundary conditions of the Lighthill-Whitham-Richards (LWR) model and Payne-Whitham model are provided to contrast the effects of adaptive time mesh on the Lax-Friedrichs scheme. Simulation results are generally satisfied. The number of time steps of adaptive-Lax method is much less than that of Lax method with no significant difference in solutions of LWR model. Convergence of solution is readily claimed by the Courant-Friedrichs-Lewy (CFL) condition.
URI: http://hdl.handle.net/11536/18855
ISBN: 0-7803-7389-8
期刊: IEEE 5TH INTERNATIONAL CONFERENCE ON INTELLIGENT TRANSPORTATION SYSTEMS, PROCEEDINGS
起始頁: 779
結束頁: 784
顯示於類別:會議論文