Numerical simulations of the Euler system with congestion constraint

作者：Degond Pierre; Hua Jiale^*; Navoret Laurent

来源：Journal of Computational Physics, 2011, 230(22): 8057-8088.

DOI：10.1016/j.jcp.2011.07.010

• Finite volume scheme
• Congestion
• Asymptotic-preserving schemes
• All-speed flows
• Pressureless gas dynamics

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.

• 出版日期2011-9-10