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

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).

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Titolo: Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models
Autori: 
CHIARELLO, FELISIA ANGELA
GOATIN, PAOLA
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Data di pubblicazione: 2020
Rivista: 
COMPUTATIONAL & APPLIED MATHEMATICS  
Digital Object Identifier (DOI): http://dx.doi.org/10.1007/s40314-020-1097-9
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http://hdl.handle.net/11583/2814512
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