Numerical simulations of the Euler system with congestion constraint

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Degond, Pierre²  Hua, Jiale¹  Navoret, Laurent¹ 

[1] CNRS, Inst Math Toulouse, UMR 5219, F-31062 Toulouse, France

[2] Univ Toulouse, Inst Math Toulouse, UPS, INSA,UTM,UT1, F-31062 Toulouse, France

关键词: Finite volume scheme;    Congestion;    Asymptotic-preserving schemes;    All-speed flows;    Pressureless gas dynamics;   

DOI  :  10.1016/j.jcp.2011.07.010

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free