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Journal Articles SIAM Journal on Scientific Computing Year : 2013

The wave-front tracking algorithm for Hughes' model of pedestrian motion

Abstract

We code the wave-front tracking algorithm for Hughes' model of pedestrian motion with generalized running cost. This model displays a non-classical dynamic at the splitting point between the two directions of motion. The wave-front tracking scheme provides us with reference solutions to test numerically the convergence of classical finite volume schemes, which do not treat explicitly the dynamics at the turning point.
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Dates and versions

hal-00751260 , version 1 (13-11-2012)

Identifiers

  • HAL Id : hal-00751260 , version 1

Cite

Paola Goatin, Matthias Mimault. The wave-front tracking algorithm for Hughes' model of pedestrian motion. SIAM Journal on Scientific Computing, 2013, 35 (3), pp.B606-B622. ⟨hal-00751260⟩
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