Multiscale modeling of granular flows with application to crowd dynamics

TL;DR

This paper introduces a multiscale modeling technique for granular flows, integrating microscopic and macroscopic scales within a measure-theoretic framework, enabling dynamic interaction simulations, with crowd dynamics as the primary application.

Contribution

A novel coupled multiscale model based on measure theory that simultaneously manages microscopic and macroscopic crowd behaviors within a unified framework.

Findings

Effective simulation of particle trajectories and densities

Demonstrated applicability to crowd dynamics

Enhanced interaction modeling between scales

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.