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

Author

Listed:
  • Qiao, Dianliang
  • Lin, Zhiyang
  • Guo, Mingmin
  • Yang, Xiaoxia
  • Li, Xiaoyang
  • Zhang, Peng
  • Zhang, Xiaoning

Abstract

A conserved high-order traffic flow model (CHO model) is extended to the case with discontinuous fluxes which is called the CHO model with discontinuous fluxes. Based on the independence of its homogeneous subsystem and the property of Riemann invariants, Riemann solvers to the homogeneous CHO model with discontinuous fluxes are discussed. Moreover, we design the first-order Godunov scheme based on the Riemann solvers to solve the extended model, and prove the invariant region principle of numerical solutions. Two numerical examples are given to illustrate the effectiveness of the extended model and the designed scheme.

Suggested Citation

  • Qiao, Dianliang & Lin, Zhiyang & Guo, Mingmin & Yang, Xiaoxia & Li, Xiaoyang & Zhang, Peng & Zhang, Xiaoning, 2022. "Riemann solvers of a conserved high-order traffic flow model with discontinuous fluxes," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    • Handle: RePEc:eee:apmaco:v:413:y:2022:i:c:s0096300321007323
    DOI: 10.1016/j.amc.2021.126648
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    References listed on IDEAS

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    1. Abreu, Eduardo & Bachini, Elena & Pérez, John & Putti, Mario, 2023. "A geometrically intrinsic lagrangian-Eulerian scheme for 2D shallow water equations with variable topography and discontinuous data," Applied Mathematics and Computation, Elsevier, vol. 443(C).

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