| Abstract: | In this paper, we apply the discontinuous Galerkin method with
Lax-Wendroff type time discretizations (LWDG) using the weighted
essentially non-oscillatory (WENO) limiter to solve a multi-class
traffic flow model for an inhomogeneous highway, which is a kind of
hyperbolic conservation law with spatially varying fluxes. The
numerical scheme is based on a modified equivalent system which is
written as a "standard" hyperbolic conservation form. Numerical
experiments for both the Riemann problem and the traffic signal
control problem are presented to show the effectiveness of these
methods. |
