A fifth-order symmetrical weighted hybrid ENO-flux limiter scheme for traffic flow model on networks

In this research work, a fifth-order weighted essentially non-oscillatory (WENO) scheme is created for traffic flow problems on networks. Street systems can be numerically demonstrated as a graph, whose edges are a limited number of streets that connect at intersections. A scalar hyperbolic conservation law can portray the advancement on each street, and traffic distribution matrices are considered to define coupling conditions at the network intersections. In this paper, numerical results for road networks with rich solution structures will be presented. These numerical results show that the new proposed scheme in this paper can generate essentially non-oscillatory and high resolution solutions.