Numerical Approximation of a Macroscopic Model of Pedestrian Flows

DOI10.1137/050641211zbMath1143.35339OpenAlexW1984976603MaRDI QIDQ5453551

Christophe Chalons

Publication date: 3 April 2008

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9111fd5472990ecc07fb0f814d9429eb3c2697d4

zbMATH Keywords

microscopic modelkinetic functionnon-classical shockstransport equilibriumefficient numerical strategy

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (10)

A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC ⋮ Nonclassical interactions portrait in a macroscopic pedestrian flow model ⋮ Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux ⋮ On entropy weak solutions of Hughes' model for pedestrian motion ⋮ A random sampling method for a family of temple-class systems of conservation laws ⋮ An all-densities pedestrian simulator based on a dynamic evaluation of the interpersonal distances ⋮ Transport-equilibrium schemes for computing nonclassical shocks ⋮ A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE ⋮ Representation of capacity drop at a road merge via point constraints in a first order traffic model ⋮ Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks

This page was built for publication: Numerical Approximation of a Macroscopic Model of Pedestrian Flows