The flow of large crowds of pedestrians

被引：109

作者：

Hughes, RL ^{[1
]}

机构：

[1] Univ Melbourne, Dept Civil & Environm Engn, Parkville, Vic 3052, Australia

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2000年 / 53卷 / 4-6期

关键词：

Eulerian simulation; Lagrangian simulation; pedestrians;

D O I：

10.1016/S0378-4754(00)00228-7

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Despite popular belief the motion of a crowd is governed by well-defined rules of behaviour. These rules imply a set of coupled, non-linear, partial differential equations for the density and velocity potential for each type of pedestrian in the crowd. As may be expected, the solution of these equations may, in different regions of space, be supercritical or subcritical with the possibility of a shock wave separating the regions. Less predictable is the remarkable finding that these coupled, non-linear, time dependent equations are conformally mappable and this finding enables solutions to be obtained easily for both supercritical and subcritical flows. (C) 2000 Published by Elsevier Science B.V. on behalf of IMACS.

引用

页码：367 / 370

页数：4