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Preprint 17-2012

Fundamental Diagrams and Multiple Pedestrian Streams

Source file is available as :   Portable Document Format (PDF)

Author(s) : Frank Huth , Günter Bärwolff , Hartmut Schwandt

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 17-2012

MSC 2000

35Q35 Other equations arising in fluid mechanics
76T25 Granular flows

Abstract :
The application of a fundamental diagram is one possible concept to base macroscopic models of pedestrian streams on. These diagrams have been derived for unidirectional pedestrian flows in restricted spatial settings like corridors and bottlenecks. In this paper we present some ideas to possibly extend this concept to cases of multi-directional fluxes on a plane, possibly with obstacles.

Keywords : Macroscopic modeling, pedestrian flow, velocity-density diagram

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