Finite volume approximations of the Euler system with variable congestion

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Title: Finite volume approximations of the Euler system with variable congestion
Authors: Degond, PAA
Minakowski, P
Navoret, L
Zatorska, E
Item Type: Journal Article
Abstract: We are interested in the numerical simulations of the Euler system with variable congestion encoded by a singular pressure (Degond et al., 2016). 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 Degond et al. (2016) and extended here to higher order accuracy. We finally carry out two dimensional numerical simulations and show that the model exhibit typical crowd dynamics.
Issue Date: 1-Jun-2018
Date of Acceptance: 12-Sep-2017
ISSN: 0045-7930
Publisher: Elsevier
Start Page: 23
End Page: 39
Journal / Book Title: Computers and Fluids
Volume: 169
Copyright Statement: © 2017 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license. (
Sponsor/Funder: The Royal Society
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: WM130048
Keywords: math.NA
0102 Applied Mathematics
0915 Interdisciplinary Engineering
0913 Mechanical Engineering
Applied Mathematics
Publication Status: Published
Online Publication Date: 2017-09-14
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences

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