Enskog-like discrete velocity models for vehicular traffic flow
Enskog-like discrete velocity models for vehicular traffic flow
复制标题
类似 Enskog 的车辆交通流离散速度模型
DOI：
--
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Mohammed Seaïd
中科院分区：
文献类型：
--
作者：
M. Herty;L. Pareschi;Mohammed Seaïd
我们考虑了一个类似Enskog的离散速度模型，在极限情况下，该模型得到了用于描述车辆交通流的粘性Lighthill-Whitham-理查兹方程。考虑到一个离散的速度模型与两个速度。Aw Rascle系统和更一般的离散速度模型的扩展进行了讨论。特别地，在离散速度方程中仅允许正速度。为了数值求解离散的速度方程，我们实现了Monte Carlo方法，使用的解释，每个粒子对应于一个车辆。数值结果给出了两个实际情况下的车辆交通流。所提出的模型能够提供精确的解决方案，包括向前和向后移动的波。
We consider an Enskog-like discrete velocity model which in the limit yields the viscous Lighthill-Whitham-Richards equation used to describe vehicular traffic flow. Consideration is given to a discrete velocity model with two speeds. Extensions to the Aw-Rascle system and more general discrete velocity models are also discussed. In particular, only positive speeds are allowed in the discrete velocity equations. To numerically solve the discrete velocity equations we implement a Monte Carlo method using the interpretation that each particle corresponds to a vehicle. Numerical results are presented for two practical situations in vehicular traffic flow. The proposed models are able to provide accurate solutions including both, forward and backward moving waves.