ONE-DIMENSIONAL TRAFFIC FLOW BY COMPRESSIBLE FLOW MODEL INCLUDING SEVERAL TYPES OF OPTIMAL VELOCITY FUNCTIONS

摘要

In this paper, we considered a model which describes the one-dimensional traffic flow observed in a highway. Optimal velocity model which has been introduced in the microscopic model was applied to the macroscopic compressible fluid equations. Numerical simulations were performed by applying the finite difference method to this model. Effect of sensitivity which depend on the stability of asymptotic numerical solutions is discussed. Furthermore, we adopted several types of optimal velocity functions, the well-known optimal velocity function proposed by Bando et al., the linear one and the non-smooth one. Different non-trivial asymptotic structure of clusters of congestion are observed between the cases using two types of optimal velocity functions except the linear one.