A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries - Archive ouverte HAL
Journal Articles Mathematical Biosciences and Engineering Year : 2020

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

Abstract

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
Origin Files produced by the author(s)
Loading...

Dates and versions

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

Identifiers

  • HAL Id : hal-02720191 , version 1

Cite

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⟩
219 View
86 Download

Share

More