Abstract

Traffic modeling often keeps the mesoscopic scale in the theoretical sphere because of the integro-differential nature of its equations. In the present work, it is suggested to use the lattice Boltzmann method to overcome these difficulties while benefiting the strong theoretical foundation of the method. An alternative version of the lattice Boltzmann method for multi-class and heterogeneity in traffic flow is elaborated in this paper. Its ability to reproduce the fundamental diagram is proved, for both single-class and multi-class flows. This allows easily simulating complex and realistic cases of mixture of multi-class traffic flow. These simulations are able to capture jamming in various traffic situations such as road merging, reduction of the number of lanes or change of speed limits.

摘要

由于其方程的积分微分性质，交通模型通常将介观尺度保持在理论范围内。在目前的工作中，建议使用格子玻尔兹曼方法克服这些困难，同时受益于该方法的强大理论基础。本文阐述了用于交通流中多类和异质性的格子玻尔兹曼方法的另一种形式。对于单类流和多类流，都证明了其具有再现基本图的能力。这使得可以轻松地模拟复杂和现实情况下的多类流量混合。这些模拟能够捕获各种交通情况下的拥堵，例如道路合并，车道数量减少或速度限制变化。