Riemann solvers of a conserved high-order traffic flow model with discontinuous fluxes

作者：

Highlights：

• A conserved high-order traffic flow model (CHO model) is extended to the case with discontinuous fluxes.

• The Riemann solvers and wave patterns to the homogeneous CHO model with discontinuous fluxes are discussed.

• The numerical algorithm used to solve the CHO model with discontinuous fluxes is designed.

• The numerical result shows that the extended model can reproduce stop-and-go waves.

摘要

•A conserved high-order traffic flow model (CHO model) is extended to the case with discontinuous fluxes.•The Riemann solvers and wave patterns to the homogeneous CHO model with discontinuous fluxes are discussed.•The numerical algorithm used to solve the CHO model with discontinuous fluxes is designed.•The numerical result shows that the extended model can reproduce stop-and-go waves.

论文关键词：Discontinuous fluxes,Wave breaking,Riemann solvers,Invariant region principle,Bottleneck effects

论文评审过程：Received 2 January 2021, Revised 11 July 2021, Accepted 31 August 2021, Available online 20 September 2021, Version of Record 20 September 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126648