Applying High-Resolution Wave Propagation Method in Numerical Modeling of Macroscopic Traffic Flow based on Driver Physiological-Psychological Behavior

In this paper, a high-resolution version of the Godunov-type second-order Wave Propagation Algorithm (WPA) for one-dimensional macroscopic traffic flow modeling is presented. The method is a well-balanced model and is able to behave the source terms within the flux-differencing adjacent to the finite volume method. The defined numerical scheme utilizes the advantage of combination both approximate and exact Riemann speeds which enables the method to avoid non-negative velocities. To the best of authors’ knowledge, no development of WPA with high-resolution for the common macroscopic Payne- Whitham (PW) model and its extended versions has taken place so far.