应用数学和力学2013，Vol.34Issue(1)：85-97,13.DOI:10.3879/j.issn.1000-0887.2013.01.009
交通流流体力学模型与非线性波
Fluid Dynamics Traffic Flow Models and Their Related Non-Linear Waves
摘要
Abstract
Fluid dynamics methods were used in modeling traffic flow problems, which demonstrated many interesting non-linear propagation phenomena. It was summarized that the propagation was related to traffic pressures and self-driven forces, which generated shock and rarefaction waves in the LWR model, stop-and-go waves in the higher-order model, overtaking waves (shock or rarefaction waves) in the multi-class LWR model, and a contact discontinuity in problems with discontinuous fluxes. The Riemann problem arising from extension of the LWR model to traffic networks was also introduced in detail. And a system based on the Navi-er-Stokes equations was proposed to model the 2-dimensional pedestrian flow problem with application of the Eikon equation for determination of a pedestrian' s desired motion direction.关键词
守恒律方程/激波/时走时停波/超车波/接触间断Key words
conservation laws/ shock/ stop-and-go wave/ overtaking wave/ contact discontinuity分类
数理科学引用本文复制引用
张鹏,王卓,黄仕进..交通流流体力学模型与非线性波[J].应用数学和力学,2013,34(1):85-97,13.基金项目
国家自然科学基金资助项目(11072141 （）
11272199) （）
国家重点基础研究发展计划资助项目(2012CB725404) （2012CB725404）
上海市重点学科建设资助项目(S30106) （S30106）
