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Interplay Between Diffusion Anisotropy and Mesh Skewness in Hybrid High-Order Schemes Read chapter Read first chapter

2020 | OriginalPaper | Chapter

A Macroscopic Model to Reproduce Self-organization at Bottlenecks

Authors : Boris Andreianov, Abraham Sylla

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Publisher: Springer International Publishing

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Abstract

We propose a model for self-organized traffic flow at bottlenecks that consists of a scalar conservation law with a nonlocal constraint on the flux. The constraint is a function of an organization marker which evolves through an ODE depending on the upstream traffic density and its variations. We prove well-posedness for the problem, construct and analyze a finite volume scheme, perform numerical simulations and discuss the model and related perspectives.

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previous chapter Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions
next chapter A Three-Dimensional Hybrid High-Order Method for Magnetostatics
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Metadata
Title
A Macroscopic Model to Reproduce Self-organization at Bottlenecks
Authors
Boris Andreianov
Abraham Sylla
Copyright Year
2020
Book
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Print ISBN: 978-3-030-43650-6

Electronic ISBN: 978-3-030-43651-3

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-43651-3_21

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