Title
Numerical simulations of the Euler system with congestion constraint
Abstract
In this paper, we study the numerical simulations for Euler system with maximal density constraint. This model is developed in [6,17] with the constraint introduced into the system by a singular pressure law, which causes the transition of different asymptotic dynamics between different regions. To overcome these difficulties, we adapt and implement two asymptotic preserving (AP) schemes originally designed for low Mach number limit [16,18] to our model. These schemes work for the different dynamics and capture the transitions well. Several numerical tests both in one dimensional and two dimensional cases are carried out for our schemes.
Year
DOI
Venue
2011
10.1016/j.jcp.2011.07.010
J. Comput. Physics
Keywords
Field
DocType
different asymptotic dynamic,euler system,different region,maximal density constraint,singular pressure law,congestion,asymptotic-preserving schemes,low mach number limit,congestion constraint,finite volume scheme,all-speed,numerical test,dimensional case,different dynamic,numerical simulation,gas dynamics
Numerical tests,Mathematical optimization,Mathematical analysis,Euler system,Mach number,Mathematics
Journal
Volume
Issue
ISSN
230
22
Journal of Computational Physics, 230 (2011), pp. 8057-8088
Citations 
PageRank 
References 
4
0.75
6
Authors
3
Name
Order
Citations
PageRank
Pierre Degond125143.75
Jiale Hua291.27
Laurent Navoret3223.17