Transport-Equilibrium Schemes for Pedestrian Flows with Nonclassical Shocks

Christophe Chalons ()
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Christophe Chalons: Université Pierre et Marie Curie, Université Paris 7 - Denis Diderot & Laboratoire J.-L Lions, U.M.R. 7598

A chapter in Traffic and Granular Flow’05, 2007, pp 347-356 from Springer

Abstract: Summary This paper deals with the numerical approximation of the solutions of a macroscopic model for the description of the flow of pedestrians. Solutions of the associated Riemann problem are known to be possibly nonclassical in the sense that the underlying discontinuities may well violate Oleinik inequalities, which makes their numerical approximation very sensitive. This study proposes to apply the Transport-Equilibrium strategy proposed in [2] for computing nonclassical solutions of scalar conservation laws to this framework. Numerical evidences are proposed.

Keywords: Classical Solution; Riemann Problem; Riemann Solver; Relaxation Scheme; Riemann Solution (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-47641-2_31

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DOI: 10.1007/978-3-540-47641-2_31

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