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