Wave Propagation of the Payne-Whitham-Type Macroscopic Traffic Flow Models
Payne-Whitham型宏观交通流模型波动特性

In macroscopic traffic flow models, the traffic flow is treated as the fluid flow and the collective variables-flow rate, traffic density and traffic speed are used to describe it. In this paper, the Payne-Whitham-type macroscopic model is discussed for the properties of describing the propagation of perturbations along the equilibrium traffic flow through the wavefront expansion techniques.Furthermore, the traffic flow stability criterions are derived. Numerical simulations based on a Pad${\rm \acute {e}}$ approximation of this expansion are done in the end of this paper and results show that propagation of perturbations on traffic flow speed conforms to the theoretical analysis.