Imperial College London

ProfessorPierreDegond

Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 1474p.degond Website CV

 
 
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Location

 

6M38Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Degond:2018:10.1016/j.compfluid.2017.09.007,
author = {Degond, PAA and Minakowski, P and Navoret, L and Zatorska, E},
doi = {10.1016/j.compfluid.2017.09.007},
journal = {Computers and Fluids},
pages = {23--39},
title = {Finite volume approximations of the Euler system with variable congestion},
url = {http://dx.doi.org/10.1016/j.compfluid.2017.09.007},
volume = {169},
year = {2018}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - 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.
AU - Degond,PAA
AU - Minakowski,P
AU - Navoret,L
AU - Zatorska,E
DO - 10.1016/j.compfluid.2017.09.007
EP - 39
PY - 2018///
SN - 0045-7930
SP - 23
TI - Finite volume approximations of the Euler system with variable congestion
T2 - Computers and Fluids
UR - http://dx.doi.org/10.1016/j.compfluid.2017.09.007
UR - http://hdl.handle.net/10044/1/50768
VL - 169
ER -