Year: 2009
Author: Tiantian Sun, Jianxian Qiu
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 3 : pp. 438–450
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-AAMM-8380
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 3 : pp. 438–450
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Multi-class traffic flow inhomogeneous highway