MULTISCALE MODELING OF GRANULAR FLOWS WITH APPLICATION TO CROWD DYNAMICS

被引：149

作者：

Cristiani, Emiliano ^{[1
]}

Piccoli, Benedetto ^{[2
]}

Tosin, Andrea ^{[3
]}

机构：

[1] Univ Roma La Sapienza, Dept Math, I-00185 Rome, Italy

[2] Rutgers State Univ, Dept Math Sci, Camden, NJ 08102 USA

[3] Politecn Torino, Dept Math, I-10128 Turin, Italy

来源：

MULTISCALE MODELING & SIMULATION | 2011年 / 9卷 / 01期

关键词：

measure theory; coupled microscopic-macroscopic approach; collective behaviors; pedestrians; self-organization; CELLULAR-AUTOMATA; PEDESTRIAN FLOWS; ANIMAL GROUPS; MOTION MODEL; MOTORCYCLES;

D O I：

10.1137/100797515

中图分类号：

O1 [数学];

学科分类号：

070101 [基础数学];

摘要：

In this paper a new multiscale modeling technique is proposed. It relies on a recently introduced measure-theoretic approach, which allows one to manage the microscopic and the macroscopic scale under a unique framework. In the resulting coupled model the two scales coexist and share information. This way it is possible to perform numerical simulations in which the trajectories and the density of the particles affect each other. Crowd dynamics is the motivating application throughout the paper.

引用

页码：155 / 182

页数：28

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