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A discrete contact model for crowd motion

Abstract : The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: We first define a spontaneous velocity which corresponds to the velocity each individual would like to have in the absence of other people; The actual velocity is then computed as the projection of the spontaneous velocity onto the set of admissible velocities (i.e. velocities which do not violate the non-overlapping constraint). We describe here the underlying mathematical framework, and we explain how recent results by J.F. Edmond and L. Thibault on the sweeping process by uniformly prox-regular sets can be adapted to handle this situation in terms of well-posedness. We propose a numerical scheme for this contact dynamics model, based on a prediction-correction algorithm. Numerical illustrations are finally presented and discussed.
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https://hal.archives-ouvertes.fr/hal-00350815
Contributor : Juliette Venel Connect in order to contact the contributor
Submitted on : Wednesday, January 7, 2009 - 4:26:46 PM
Last modification on : Sunday, June 26, 2022 - 11:49:04 AM
Long-term archiving on: : Tuesday, June 8, 2010 - 6:57:57 PM

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  • HAL Id : hal-00350815, version 1
  • ARXIV : 0901.0984

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Bertrand Maury, Juliette Venel. A discrete contact model for crowd motion. 2009. ⟨hal-00350815⟩

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