Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Suppression of oscillations in Godunov's method for a resonant non-strictly hyperbolic system
SIAM Journal on Numerical Analysis
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
SIAM Journal on Scientific Computing
Journal of Computational and Applied Mathematics
Hyperbolic conservation laws with space-dependent fluxes: II. General study of numerical fluxes
Journal of Computational and Applied Mathematics
Adaptive multiresolution WENO schemes for multi-species kinematic flow models
Journal of Computational Physics
Characteristic-Based Schemes for Multi-Class Lighthill-Whitham-Richards Traffic Models
Journal of Scientific Computing
On the implementation of WENO schemes for a class of polydisperse sedimentation models
Journal of Computational Physics
Riemann solver for a kinematic wave traffic model with discontinuous flux
Journal of Computational Physics
Hi-index | 31.46 |
As a new attempt to solve 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 as well as an analytical study 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 in which the results are in good agreement with the analytical counterparts.