Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 155-182 |
| Number of pages | 28 |
| Journal | Multiscale Modeling and Simulation |
| Volume | 9 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2011 |
All Science Journal Classification (ASJC) codes
- General Chemistry
- Modeling and Simulation
- Ecological Modeling
- General Physics and Astronomy
- Computer Science Applications
Keywords
- Collective behaviors
- Coupled microscopic-macroscopic approach
- Measure theory
- Pedestrians
- Self-organization