Preprint 30-2012

A Multispecies Pedestrian Model based on a 3d multiphase incompressible fluid flow model

Author(s) : Tobias Ahnert , Günter Bärwolff , Hartmut Schwandt

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 30-2012

MSC 2000

35Q30 Stokes and Navier-Stokes equations

Abstract :
The idea to simulate pedestrian flow by the application of fluid dynamics equations has a certain history in that field. This approach is based on the application of partial differential equations, which makes it a macroscopic method. The need to simulate several different species of pedestrians is a need from the start, which has not been matched very well by numerical simulations of macroscopic type. The basis of the description of non dense pedestrian movement by incompressible fluid flow models consists in the introduction of an empty phase as a species of a multiphase system of distinct phases.

Keywords : pedestrian simulation; multiphase; incompressible flow