On the numerical solutions of second order macroscopic models of pedestrian flows

DOI10.1016/j.camwa.2008.04.028zbMath1152.65461OpenAlexW2051715326MaRDI QIDQ2519534

Christian Dogbe

Publication date: 26 January 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.04.028

zbMATH Keywords

hyperbolic systemscrowd dynamicspedestrian flowshyperbolic solvers

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (11)

The Lagrangian coordinate system and what it means for two-dimensional crowd flow models ⋮ MODELING CROWD DYNAMICS FROM A COMPLEX SYSTEM VIEWPOINT ⋮ Towards a mathematical theory of behavioral human crowds ⋮ The chaotic dynamics of the social behavior selection networks in crowd simulation ⋮ Modeling crowd dynamics by the mean-field limit approach ⋮ A viscous continuum model with smoke effect for pedestrian evacuation ⋮ On the modelling of crowd dynamics by generalized kinetic models ⋮ Transport-diffusion models with nonlinear boundary conditions and solution by generalized collocation methods ⋮ Macroscopic modeling of pedestrian flow based on a second-order predictive dynamic model ⋮ Fixed-point fast sweeping weighted essentially non-oscillatory method for multi-commodity continuum traffic equilibrium assignment problem ⋮ Modelling pedestrian dynamics into a metro station by thermostatted kinetic theory methods

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• T<scp>HE</scp> F<scp>LOW OF</scp> H<scp>UMAN</scp> C<scp>ROWDS</scp>
• Finite Volume Methods for Hyperbolic Problems

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