Multiscale modeling of granular flows with application to crowd dynamics
Mathematical Physics
2011-01-24 v1 math.MP
Numerical Analysis
Physics and Society
Abstract
In this paper a new multiscale modeling technique is proposed. It relies on a recently introduced measure-theoretic approach, which allows 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 allows 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.
Cite
@article{arxiv.1006.0694,
title = {Multiscale modeling of granular flows with application to crowd dynamics},
author = {Emiliano Cristiani and Benedetto Piccoli and Andrea Tosin},
journal= {arXiv preprint arXiv:1006.0694},
year = {2011}
}
Comments
30 pages, 9 figures