A unified multiscale vision of behavioral crowds

Author:

Aylaj Bouchra1,Bellomo Nicola23,Gibelli Livio4,Reali Alessandro5

Affiliation:

1. Département de Mathématiques et Informatique, Faculté des Sciences Ain Chock, Université Hassan II de Casablanca, Maroc

2. University of Granada, Departamento de Matemática Aplicada, 18071-Granada, Spain

3. Polytechnic University of Torino, Italy

4. School of Engineering, Institute for Multiscale Thermofluids, University of Edinburgh, United Kingdom

5. Department of Civil Engineering and Architecture, University of Pavia, and IMATI-CNR, Italy

Abstract

This paper proposes a multiscale vision to human crowds which provides a consistent description at the three possible modeling scales, namely, microscopic, mesoscopic, and macroscopic. The proposed approach moves from interactions at the microscopic scale and shows how the same modeling principles lead to kinetic and hydrodynamic models. Hence, a unified framework is developed which permits to derive models at each scale using the same principles and similar parameters. This approach can be used to simulate crowd dynamics in complex environments composed of interconnected areas, where the most appropriate scale of description can be selected for each area. This offers a pathway to the development of a multiscale computational model which has the capability to optimize the granularity of the description depending on the pedestrian local flow conditions. An important feature of the modeling at each scale is that the complex interaction between emotional states of walkers and their motion is taken into account.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

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