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- Title
Particle methods for pedestrian flow models: From microscopic to nonlocal continuum models.
- Authors
Etikyala, R.; Göttlich, S.; Klar, A.; Tiwari, S.
- Abstract
A hierarchy of models for pedestrian flow is numerically investigated using particle methods. It includes microscopic models based on interacting particle system coupled to an eikonal equation, hydrodynamic models using equations for density and mean velocity, nonlocal continuum equations for the density and diffusive Hughes equations. Particle methods are used on all levels of the hierarchy. Numerical test cases are investigated by comparing the above models.
- Subjects
PARTICLE methods (Numerical analysis); EIKONAL equation; MATHEMATICAL models of hydrodynamics; NUMERICAL analysis; NUMERICAL solutions to differential equations
- Publication
Mathematical Models & Methods in Applied Sciences, 2014, Vol 24, Issue 12, p2503
- ISSN
0218-2025
- Publication type
Article
- DOI
10.1142/S0218202514500274