Preprint 2005-031

A Weighted Essentially Non-Oscillatory Numerical Scheme for a Multi-Class Traffic Flow Model on an Inhomogeneous Highway

P. Zhang, S. C. Wong, and C.-W. Shu

Abstract: As a new attempt in solving hyperbolic conservation laws with spatially varying fluxes, the weighted essentially non-oscillatory (WENO) method is applied to solve a multi-class traffic flow model for an inhomogeneous highway. The numerical scheme is based upon a modified equivalent system that is written in a `standard' hyperbolic conservation form. Numerical examples, which include the difficult traffic signal control problem, are used to demonstrate the effectiveness of the WENO scheme.

Available as PDF (1.7 Mbytes).
P. Zhang
S. C. Wong
C.-W. Shu
Publishing information:
Journal of Computational Physics, Vol. 212, 2006, pp. 739-756
Submitted by:
<> June 25 2005.

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