Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models

Chiarello, F. A.; Goatin, P.; Villada, L. M.

doi:10.1007/s40314-020-1097-9

This paper focuses on the numerical approximation of the solutions of a class of non-local systems in one space dimension, arising in traffic modeling. We propose alternative simple schemes by splitting the non-local conservation laws into two different equations, namely the Lagrangian and the remap steps. We provide some properties and estimates recovered by approximating the problem with the Lagrangian-antidiffusive remap (L-AR) scheme, and we prove the convergence to weak solutions in the scalar case. Finally, we show some numerical simulations illustrating the efficiency of the L-AR schemes in comparison with classical first- and second-order numerical schemes.

Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models / Chiarello, F. A.; Goatin, P.; Villada, L. M.. - In: COMPUTATIONAL & APPLIED MATHEMATICS. - ISSN 1807-0302. - 39:2(2020).

Titolo:	Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models
Autori:	CHIARELLO, FELISIA ANGELA GOATIN, PAOLA Villada L. M. mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2020
Rivista:	COMPUTATIONAL & APPLIED MATHEMATICS
Digital Object Identifier (DOI):	http://dx.doi.org/10.1007/s40314-020-1097-9
Appare nelle tipologie:	1.1 Articolo in rivista

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