A numerical scheme for moving bottlenecks in traffic flow
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Publication:504607
DOI10.1007/S00574-016-0172-8zbMath1358.90025OpenAlexW2465734411MaRDI QIDQ504607
Maria Laura Delle Monache, Paola Goatin
Publication date: 17 January 2017
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-01402618/file/ProceedingHYP.pdf
traffic flowscalar conservation lawsPDE-ODE couplingconservative finite volume schemeslocal moving constraints
Related Items (5)
A LWR model with constraints at moving interfaces ⋮ Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws ⋮ A multiscale model for traffic regulation via autonomous vehicles ⋮ Macroscopic traffic flow modelling: from kinematic waves to autonomous vehicles ⋮ Interacting moving bottlenecks in traffic flow
Cites Work
- Capturing nonclassical shocks in nonlinear elastodynamic with a conservative finite volume scheme
- Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result
- A well posed conservation law with a variable unilateral constraint
- Finite volume schemes for locally constrained conservation laws
- Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I
- A front tracking method for a strongly coupled PDE-ODE system with moving density constraints in traffic flow
- Vehicular Traffic Flow Dynamics on a Bus Route
- Nondiffusive conservative schemes based on approximate Riemann solvers for Lagrangian gas dynamics
- On the coupling of systems of hyperbolic conservation laws with ordinary differential equations
- Moving Bottlenecks in Car Traffic Flow: A PDE-ODE Coupled Model
- A Tracking Algorithm for Car Paths on Road Networks
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
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