Multiscale modeling of granular flows with application to crowd dynamics

Details Multiscale modeling of granular flows with application to crowd dynamics Multiscale modeling of granular flows with application to crowd dynamics

2010-06-03

arxiv.org/abs/1006.0694v1

Multiscale Model. Simul., 9(1):155-182, 2011

Physics

Mathematical Physics

30 pages, 9 figures

Scientific paper

10.1137/100797515

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.

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