Riemann solver for a kinematic wave traffic model with discontinuous flux

DOI10.1016/j.jcp.2013.02.024zbMath1302.65206arXiv1112.5649OpenAlexW2101594789MaRDI QIDQ401509

J. Herrera, H. S. Yoon

Publication date: 27 August 2014

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5649

zbMATH Keywords

finite volume schemehyperbolic conservation lawLighthill-Whitham-Richards modeltraffic flowdiscontinuous fluxzero waves

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Initial value problems for first-order hyperbolic systems (35L45) Solutions to PDEs in closed form (35C05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (9)

A splitting algorithm for LWR traffic models with flux discontinuous in the unknown ⋮ Discontinuous Galerkin finite element scheme for a conserved higher-order traffic flow model by exploring Riemann solvers ⋮ Conservation laws with discontinuous flux function on networks: a splitting algorithm ⋮ Optimal inflow control of production systems with finite buffers ⋮ A Runge-Kutta discontinuous Galerkin scheme for hyperbolic conservation laws with discontinuous fluxes ⋮ Riemann solvers of a conserved high-order traffic flow model with discontinuous fluxes ⋮ A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function ⋮ The Asymptotic Behaviors of Solutions to the Perturbed Riemann Problem near the Singular Curve for the Chromatography System* ⋮ A model for a network of conveyor belts with discontinuous speed and capacity

Uses Software

• CLAWPACK

Cites Work

• Unnamed Item
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