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

Paola Goatin (1) , Sheila Scialanga (2, 3)

1 ACUMES - Analysis and Control of Unsteady Models for Engineering Sciences
2 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
3 UNIROMA - Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome]

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.

Mots clés: non-local flux; scalar conservation laws; macroscopic traffic flow models

Domaines: Equations aux dérivées partielles [math.AP]

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⟩