## An adaptive finite-volume method for a model of two-phase pedestrian flow

### Détails

ID Serval

serval:BIB_545A1807842E

Type

**Article**: article d'un périodique ou d'un magazine.

Collection

Publications

Fonds

Titre

An adaptive finite-volume method for a model of two-phase pedestrian flow

Périodique

Networks and Heterogeneous Media

ISSN-L

1556-1801

Statut éditorial

Publié

Date de publication

2011

Peer-reviewed

Oui

Volume

6

Pages

401-423

Langue

anglais

Résumé

A flow composed of two populations of pedestrians moving

in different directions is modeled by a two-dimensional

system of convection-diffusion equations. An efficient

simulation of the two-dimensional model is obtained by a

finite-volume scheme combined with a fully adaptive

multiresolution strategy. Numerical tests show the flow

behavior in various settings of initial and boundary

conditions, where different species move in

countercurrent or perpendicular directions. The equations

are characterized as hyperbolic-elliptic degenerate, with

an elliptic region in the phase space, which in one space

dimension is known to produce oscillation waves. When the

initial data are chosen inside the elliptic region, a

spatial segregation of the populations leads to pattern

formation. The entries of the diffusion-matrix determine

the stability of the model and the shape of the patterns.

in different directions is modeled by a two-dimensional

system of convection-diffusion equations. An efficient

simulation of the two-dimensional model is obtained by a

finite-volume scheme combined with a fully adaptive

multiresolution strategy. Numerical tests show the flow

behavior in various settings of initial and boundary

conditions, where different species move in

countercurrent or perpendicular directions. The equations

are characterized as hyperbolic-elliptic degenerate, with

an elliptic region in the phase space, which in one space

dimension is known to produce oscillation waves. When the

initial data are chosen inside the elliptic region, a

spatial segregation of the populations leads to pattern

formation. The entries of the diffusion-matrix determine

the stability of the model and the shape of the patterns.

Mots-clé

Crow model, Multiphase flow, System of conservation, laws, Mixed hyperbolic-elliptic system, Elliptic region, , Fully adaptive multiresolution

Création de la notice

02/07/2013 10:54

Dernière modification de la notice

18/11/2016 14:34