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 Degond | 1 | 251 | 43.75 |
Jiale Hua | 2 | 9 | 1.27 |
Laurent Navoret | 3 | 22 | 3.17 |