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Transport-Equilibrium Schemes for Pedestrian Flows with Nonclassical Shocks

In: Traffic and Granular Flow’05

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  • Christophe Chalons

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

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.

Suggested Citation

  • Christophe Chalons, 2007. "Transport-Equilibrium Schemes for Pedestrian Flows with Nonclassical Shocks," Springer Books, in: Andreas Schadschneider & Thorsten Pöschel & Reinhart Kühne & Michael Schreckenberg & Dietrich E. Wol (ed.), Traffic and Granular Flow’05, pages 347-356, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-47641-2_31
    DOI: 10.1007/978-3-540-47641-2_31
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