Geodesic
Scalar conservation law with discontinuity arising in pedestrian modeling
Matthias Mimault1
1 INRIA Sophia-Antipolis
ESAIM. Proceedings, Tome 45 (2014), pp. 493-501.

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We consider a generalized version of the Hughes’ macroscopic model of pedestrian motion. It consists of a conservation law on the pedestrian mass with an eikonal equation giving the direction of the flux depending of the density. The model displays a non-classical dynamics at the splitting point. Known convergence results for finite volume schemes do not apply in this setting. The wave-front tracking provides us with reference solutions to test numerically the convergence of classical finite volume schemes. These schemes will be used with a tracking algorithm to show the path of a single pedestrian during an evacuation.
DOI : 10.1051/proc/201445051

Matthias Mimault 1

1 INRIA Sophia-Antipolis 
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     author = {Matthias Mimault},
     title = {Scalar conservation law with discontinuity arising in pedestrian modeling},
     journal = {ESAIM. Proceedings},
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     doi = {10.1051/proc/201445051},
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Matthias Mimault. Scalar conservation law with discontinuity arising in pedestrian modeling. ESAIM. Proceedings, Tome 45 (2014), pp. 493-501. doi : 10.1051/proc/201445051. http://geodesic.mathdoc.fr/articles/10.1051/proc/201445051/

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