First-order macroscopic modelling of human crowd dynamics

被引：82

作者：

Coscia, V. ^{[1
]}

Canavesio, C. ^{[2
]}

机构：

[1] Univ Ferrara, Dept Math, I-44100 Ferrara, Italy

[2] Altran Cis Italy, I-10135 Turin, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2008年 / 18卷

关键词：

crowd dynamics; conservation equations; nonlinearity; panic conditions;

D O I：

10.1142/S0218202508003017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the mathematical modelling of crowd dynamics within the framework of continuum mechanics. The method uses the mass conservation equation closed by phenomenological models linking the local velocity to density and density gradients. The closures take into account movement in more than one space dimension, presence of obstacles, pedestrian strategies, and modelling of panic conditions. Numerical simulations of the initial-boundary value problems visualize the ability of the models to predict several interesting phenomena related to the complex system under consideration.

引用

收藏

页码：1217 / 1247

页数：31

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