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

Ahnert, Tobias; Bärwolff, Günter; Schwandt, Hartmut

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

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.