Numerical Solution of a Two-Class LWR Traffic Flow Model by High-Resolution Central-Upwind Scheme

摘要

A high-resolution semi-discrete central-upwind scheme for solving a two class Lighthill-Whitham-Richards (LWR) traffic flow model is investigated in this paper. This scheme is based on combining a fourth-order central weighted essentially nonoscillatory (CWENO) reconstruction with semi-discrete central-upwind numerical flux. The CWENO re construction is chosen to improve the accuracy and guarantee the non-oscillatory behavior of the present method. The strong stability preserving Runge-Kutta method is used for time integration. The resulting method is applied to simulating several tests such as mixture of the two traffic flows. The simulated results illustrate the effectiveness of the present method.