交通流瓶颈效应的运动学描述  

Kinetic Description of Bottleneck Effects in Traffic Flow

作　　者：张鹏[1] 吴冬艳[1] 黄仕进[2] 陶亦舟[1] 

机构地区：[1]上海大学上海市应用数学和力学研究所,上海200072 [2]香港大学土木工程系,中国香港

出　　处：《应用数学和力学》2009年第4期399-408,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(7062910110771134);国家重点基础研究发展计划资助项目(2006CB705500);香港研究资助局项目(HKU7183/08E)

摘　　要：采用一个推广的LWR模型研究交通瓶颈效应.通过求解流通量间断的Riemann问题,得到关于模型解结构的解析结果,由此导出了描述在瓶颈上游车流的排队现象及其队列长度和高度(密度)的一个典型解,并能够构造模型方程的一种δ-映射算法.更有意义的是,表明了通过采用三角形基本图,这一运动学模型能够描述时走时停波.通过数值模拟,验证了数值结果与解析结果的一致性,从而支撑了文章的理论结果.The effects of traffic bottlenecks using an extended LWR model are dealt with. The solution structure was analytically indicated by study of the Riemann problem, which is characterized by a discontinuous flux. This leads to a typical solution that describes a queue upstream of the bottleneck and its width and height, and informs the design of a δ-mapping algorithm. More significantly, it was found that the kinetic model is able to reproduce stop-and-go waves for a triangular fundamental diagram. Some simulation examples were given to support these conclusions, and are shown to be in agreement with the analytical solutions.

关 键 词：LWR模型 间断流通量 δ-映射算法 时走时停波 

分 类 号：TB126[理学—工程力学]