DESCRIPTION AND WENO NUMERICAL APPROXIMATION TO NONLINEAR WAVES OF A MULTI-CLASS TRAFFIC FLOW LWR MODEL  

作　　者：张鹏 戴世强 刘儒勋 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics Shanghai University [2]Department of Mathematics,University of Science & Technology of China,Hefei 230026,P.R.China [3]Department of Mathematics University of Science & Technology of China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第6期691-699,共9页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 10472064,10371118)the Post-Doctoral Science Foundation of China (No. 2003034254)the Special Fund for PhD Program of Education Ministry of China (No. 20040280014)

摘　　要：A strict proof of the hyperbolicity of the multi-class LWR ( Lighthill-Whitham-Richards) traffic flow model, as well as the descriptions on those nonlinear waves characterized in the traffic flow problems were given. They were mainly about the monotonicity of densities across shocks and in rarefactions. As the system had no characteristic decomposition explicitly, a high resolution and higher order accuracy WENO( weighted essentially non-oscillatory) scheme was introduced to the numerical simulation, which coincides with the analytical description.A strict proof of the hyperbolicity of the multi-class LWR ( Lighthill-Whitham-Richards) traffic flow model, as well as the descriptions on those nonlinear waves characterized in the traffic flow problems were given. They were mainly about the monotonicity of densities across shocks and in rarefactions. As the system had no characteristic decomposition explicitly, a high resolution and higher order accuracy WENO( weighted essentially non-oscillatory) scheme was introduced to the numerical simulation, which coincides with the analytical description.

关 键 词：HYPERBOLICITY characteristic traffic wave WENO scheme 

分 类 号：U491.112[交通运输工程—交通运输规划与管理]