Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 418, Issue 3, Pages 1491-1497Publisher
WILEY-BLACKWELL
DOI: 10.1111/j.1365-2966.2011.19291.x
Keywords
hydrodynamics; waves; methods: analytical; methods: numerical; dust,extinction
Categories
Funding
- Australian Research Council [DP1094585]
- Australian Research Council [DP1094585] Funding Source: Australian Research Council
Ask authors/readers for more resources
In this paper we present the analytic solutions for two test problems involving two-fluid mixtures of dust and gas in an astrophysical context. The solutions provide a means of benchmarking numerical codes designed to simulate the non-linear dynamics of dusty gas. The first problem, dustybox, consists of two interpenetrating homogeneous fluids moving with relative velocity difference. We provide exact solutions to the full non-linear problem for a range of drag formulations appropriate to astrophysical fluids (i.e. various prescriptions for Epstein and Stokes drag in different regimes). The second problem, dustywave, consists of the propagation of linear acoustic waves in a two-fluid gasdust mixture. We provide the analytic solution for the case when the two fluids are interacting via a linear drag term. Both test problems are simple to set up in any numerical code and can be run with periodic boundary conditions. The solutions we derive are completely general with respect to both the dust-to-gas ratio and the amplitude of the drag coefficient. A stability analysis of waves in a gasdust system is also presented, showing that sound waves in an astrophysical dustgas mixture are linearly stable.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available