标题： 高速公路网络交通流模拟的特征粒子方法 显示英文标题

标题： A characteristic particle method for traffic flow simulations on highway networks

摘要： 提出了一种用于模拟道路网络上一阶宏观交通模型的特征粒子方法。该方法基于“粒子爪”方法，该方法精确求解标量一维双曲守恒律（除了在激波附近存在一个小误差）。该方法被推广到非线性网络流中，在网络节点处将边上的粒子近似值适当耦合在一起。数值例子表明，所得到的粒子方法可以准确地逼近交通拥堵，同时每个网络边仅分配少量自由度。 显示英文摘要

摘要： A characteristic particle method for the simulation of first order macroscopic traffic models on road networks is presented. The approach is based on the method "particleclaw", which solves scalar one dimensional hyperbolic conservations laws exactly, except for a small error right around shocks. The method is generalized to nonlinear network flows, where particle approximations on the edges are suitably coupled together at the network nodes. It is demonstrated in numerical examples that the resulting particle method can approximate traffic jams accurately, while only devoting a few degrees of freedom to each edge of the network.