A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Mathematical Biosciences and Engineering Année : 2020

A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries

Résumé

This study revises the non-local macroscopic pedestrian flow model proposed in [R. M. Colombo, M. Garavello, and M. Lécureux-Mercier. A class of nonlocal models for pedestrian tra c. Math. Models Methods Appl. Sci., 22(4):1150023, 34, 2012] to account for anisotropic interactions and the presence of walls or other obstacles in the walking domain. We prove the well-posedness of this extended model and we apply high-resolution numerical schemes to illustrate the model characteristics. In particular, numerical simulations highlight the role of different model parameters in the observed pattern formation.
Fichier principal
Vignette du fichier
bgivpreprint20.pdf (7.75 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02720191 , version 1 (01-06-2020)

Identifiants

  • HAL Id : hal-02720191 , version 1

Citer

Raimund Bürger, Paola Goatin, Daniel Inzunza, Luis Miguel Villada. A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries. Mathematical Biosciences and Engineering, 2020, 17 (5), pp.5883-5906. ⟨hal-02720191⟩
170 Consultations
58 Téléchargements

Partager

Gmail Facebook X LinkedIn More