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Preprint 16-2012

Some Fundamental Considerations for the Application of Macroscopic Models in the Field of Pedestrian Crowd Simulation

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 16-2012

MSC 2000

35K20 Boundary value problems for second-order, parabolic equations
76T25 Granular flows

Abstract :
The means applied for the macroscopic modeling of pedestrian crowd simulations have originally been designed to model systems in the field of physics. This physics-mathematics coevolved toolbox makes certain assumptions about the nature of the objects that are dealt with. A natural question that arises now, is how well these tools fit pedestrian crowd simulations which deal with ``systems'' of interacting intelligent ``particles''. In this article we try to shed some light on these questions and try to outline a possible modeling approach.

Keywords : Mathematical model, conservation law, Finite Volumes

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