Finite Element Simulation of a Macroscopic Model for Pedestrian Flow

Rebekka Axthelm ()
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Rebekka Axthelm: Institute of Computational Physics, Zürich University of Applied Sciences

A chapter in Traffic and Granular Flow '15, 2016, pp 233-240 from Springer

Abstract: Abstract We analyse the resultsAxthelm, Rebekka of a finite element simulation of a macroscopic model, which describes the movement of a crowd, that is considered as a continuum. A new formulation based on the macroscopic model from Hughes [2] is given. We present a stable numerical algorithm by approximating with a viscosity solution. The fundamental setting is given by an arbitrary domain that can contain several obstacles, several entries and must have at least one exit. All pedestrians have the goal to leave the room as quickly as possible. Nobody prefers a particular exit.

Keywords: Macroscopic Model; Rebekka; Stable Numerical Algorithm; Solution Viscosity; Fundamental Diagram (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-33482-0_30

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DOI: 10.1007/978-3-319-33482-0_30

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