Continuum crowd modeling is an approach to simulating and analyzing pedestrian movement that treats a crowd as a continuous fluid-like medium rather than as a collection of discrete individuals, typically governed by partial differential equations describing density and velocity fields over a spatial domain. This macroscopic perspective matters for the field because it enables computationally tractable analysis of large-scale crowd dynamics in complex environments, supporting applications in safety planning, evacuation design, and crowd flow prediction without the prohibitive cost of agent-by-agent simulation. Key variants include Hughes' dynamic continuum model, which couples a conservation equation for pedestrian density with an Eikonal equation capturing route-choice behavior, as well as extensions that incorporate anisotropic flow, varying walking speeds, and bidirectional or multi-group pedestrian streams.
Source Papers
- A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models ↗ — A high-resolution meshfree particle method for numerical inv
- Continuum theory for pedestrian traffic flow: Local route choice modelling and its implications ↗ — Continuum theory for pedestrian traffic flow: Local route ch
- Physics of Human Crowds ↗ — Physics of Human Crowds
- Recent trends in crowd analysis: A review ↗ — Recent trends in crowd analysis: A review
- Revisiting Hughes’ dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm ↗ — Revisiting Hughes’ dynamic continuum model for pedestrian fl
- State-of-the-art crowd motion simulation models ↗ — State-of-the-art crowd motion simulation models
- The Flow of Human Crowds ↗ — The Flow of Human Crowds