Wave propagation of the traffic flow dynamic model based on wavefront expansion.
This paper discusses propagation of perturbations along traffic flow modeled by a modified second-order macroscopic model through the wavefront expansion technique. The coefficients in this expansion satisfy a sequence of transport equations that can be solved analytically. One of these analytic solutions yields information about wavefront shock. Numerical simulations based on a Pade approximation of this expansion were done at the end of this paper and results showed that propagation of perturbations at traffic flow speed conforms to the theoretical analysis results.
Li
Li
L
Institute of Image Processing and Pattern Recognition, Shanghai Jiaotong University, Shanghai 200030, China. joujou@sjtu.edu.cn.
Shi
Peng-fei
PF
D000465:Algorithms; D003198:Computer Simulation; D008962:Models, Theoretical; D018986:Motor Vehicles; D013269:Stochastic Processes; D014186:Transportation / Q000379:methods