Finite volume approximations of the Euler system with variable congestion - Archive ouverte HAL
Article Dans Une Revue Computers and Fluids Année : 2018

Finite volume approximations of the Euler system with variable congestion

Résumé

We are interested in the numerical simulations of the Euler system with variable congestion encoded by a singular pressure [15]. This model describes for instance the macroscopic motion of a crowd with individual congestion preferences. We propose an asymptotic preserving (AP) scheme based on a conservative formulation of the system in terms of density, momentum and density fraction. A second order accuracy version of the scheme is also presented. We validate the scheme on one-dimensionnal test-cases and compare it with a scheme previously proposed in [15] and extended here to higher order accuracy. We finally carry out two dimensional numerical simulations and show that the model exhibit typical crowd dynamics.
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Dates et versions

hal-01651479 , version 1 (30-11-2017)

Identifiants

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Pierre Degond, Piotr Minakowski, Laurent Navoret, Ewelina Zatorska. Finite volume approximations of the Euler system with variable congestion. Computers and Fluids, 2018, 169, pp.23-39. ⟨10.1016/j.compfluid.2017.09.007⟩. ⟨hal-01651479⟩
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