Numerical simulation of a continuum model for bi-directional pedestrian flow

DOI10.1016/j.amc.2011.11.099zbMath1425.90027OpenAlexW2083066481MaRDI QIDQ434648

Keechoo Choi, S. C. Wong, Peng Zhang, Ya-Li Duan, Ru-xun Liu, Yan-Qun Jiang

Publication date: 16 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.099

zbMATH Keywords

continuum modelfinite volume schemefast sweeping methodEikonal-type equationpedestrian counterflowreactive dynamic user equilibrium

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Traffic problems in operations research (90B20)

Related Items (6)

A higher-order macroscopic model for bi-direction Pedestrian flow ⋮ The Lagrangian coordinate system and what it means for two-dimensional crowd flow models ⋮ A viscous continuum model with smoke effect for pedestrian evacuation ⋮ Optimal feedback control of pedestrian counter flow in bidirectional corridors with multiple inflows ⋮ Optimal guidance strategy for crowd evacuation with multiple exits: a hybrid multiscale modeling approach ⋮ Macroscopic modeling of pedestrian flow based on a second-order predictive dynamic model

Cites Work

• A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows
• High order fast sweeping methods for static Hamilton-Jacobi equations
• Design principles for bounded higher-order convection schemes -- a unified approach
• An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model
• Total variation diminishing Runge-Kutta schemes
• Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations

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