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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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https://hal.inria.fr/hal-01118734
Contributor : Paola Goatin <>
Submitted on : Thursday, February 19, 2015 - 5:37:41 PM
Last modification on : Thursday, May 20, 2021 - 9:12:01 AM
Long-term archiving on: : Sunday, April 16, 2017 - 10:21:51 AM

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  • HAL Id : hal-01118734, version 1

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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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