Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
519274 | Journal of Computational Physics | 2011 | 32 Pages |
Abstract
In this paper, we study the numerical simulations for Euler system with maximal density constraint. This model is developed in [6] and [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] and [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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Pierre Degond, Jiale Hua, Laurent Navoret,