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

Paola Goatin 1 Matthias Mimault 1
1 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
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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Submitted on : Tuesday, November 13, 2012 - 10:03:26 AM
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Paola Goatin, Matthias Mimault. The wave-front tracking algorithm for Hughes' model of pedestrian motion. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2013, 35 (3), pp.B606-B622. ⟨hal-00751260⟩

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