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.
Conservation Laws Preprint Server <conservation@math.ntnu.no> Last modified: Mon Jan 9 10:17:03 MET 2006