A note on the weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model

摘要

In a recent paper, the weighted essentially non-oscillatory (WENO) numerical scheme was applied to solve a multi-class Lighthill-Whitham-Richards (MCLWR) traffic flow model (J. Comput. Phys. 2003; 191:639-659). We discuss and present an enhanced WENO scheme with Lax-Friedrichs flux splitting by improving the estimation of the minimal characteristic speed of the MCLWR model, which is based on a set of inequalities of eigenvalues.