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Reports (Research Report) Year : 2015

The Lighthill-Whitham- Richards traffic flow model with non-local velocity: analytical study and numerical results

Abstract

We consider an extension of the classical Lighthill-Whitham-Richards traffic flow model, in which the mean velocity is assumed to be dependent on the downstream traffic density. We generalize the results of [BlandinGoatin] to a general velocity function v, and propose a second order numerical scheme to compute approximate solutions.
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Dates and versions

hal-01118734 , version 1 (19-02-2015)

Identifiers

  • HAL Id : hal-01118734 , version 1

Cite

Paola Goatin, Sheila Scialanga. The Lighthill-Whitham- Richards traffic flow model with non-local velocity: analytical study and numerical results. [Research Report] RR-8685, Inria Sophia Antipolis; INRIA. 2015, pp.36. ⟨hal-01118734⟩
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