Construction and simulation of a novel continuous traffic flow model

In this paper, we aim to propose a novel mathematical model for traffic flow and apply a newly developed characteristic particle method to solve the associate governing equations. As compared with the existing non-equilibrium higher-order traffic flow models, the present one is put forward to satisfy the following three conditions:1.Preserve the equilibrium state in the smooth region.2.Yield an anisotropic propagation of traffic flow information.3.Expressed with a conservation law form for traffic momentum.