Particle methods for multi-group pedestrian flow

被引：17
作者：
Mahato, N. K. [1 ]
Klar, A. [1 ]
Tiwari, S. [1 ]
机构：
[1] Tech Univ Kaiserslautern, Dept Math, Erwin Schrodinger Str, D-67663 Kaiserslautern, Germany
来源：
APPLIED MATHEMATICAL MODELLING | 2018年 / 53卷
关键词：
Interacting particle system; Multi-group equations; Mean field equation; Eikonal equation; Macroscopic limits; Particle methods; HUGHES MODEL; DYNAMICS; SIMULATIONS;
D O I：
10.1016/j.apm.2017.08.024
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We consider a multi-group microscopic model for pedestrian flow describing the behaviour of large groups. It is based on an interacting particle system coupled to an eikonal equation. Hydrodynamic multi-group models are derived from the underlying particle system as well as scalar multi-group models. The eikonal equation is used to compute optimal paths for the pedestrians. Particle methods are used to solve the equations on all levels of the hierarchy. Numerical test cases are investigated and the models and, in particular, the resulting evacuation times are compared for a wide range of different parameters. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：447 / 461
页数：15
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