高速公路混合交通流的数值模拟

NUMERICAL SIMULATION OF MIXED FREEWAY TRAFFIC FLOWS

本文用广义LWR模型描述四相混合的高速公路交通流,利用二阶TVD格式寻求了相应的数值解,给出了交通流动的特征值和右特征矩阵的计算过程．举例说明了计算方法的可行性,模拟发现了高速公路混合车流的疏散特征和双环磁滞曲线．

This paper describes four-phase mixed freeway traffic flows in terms of an extended LWR （Lighthill-Whitham-Richards） model, with the traffic flow simulations conducted by virtue of the second order TVD （Total .Variation Diminishing） scheme. The process of the calculation of eigenvalues and the right characteristic matrix in the traffic problem was presented, with its applicability being elucidated by the examples of mixed-freeway traffic simulations. It was found that there are rarefaction characteristics and double-loop hysteresis curve in the exampled mixed freeway traffic flows.