Numerical Study of Two-Fluid C-Type Shock Waves
Abstract
C-type magnetohydrodynamic shocks in the partially ionized interstellar medium are studied in the two-fluid approximation. The ionized fluid can move along the magnetic field lines, while it interacts with the neutral fluid via ion-neutral elastic scattering. I use an explicitly flux-conserving two-dimensional Eulerian flux-corrected transport code to study the dynamics of two-fluid shocks. A numerical instability intrinsic to two-fluid problems was discovered, and a solution to the problem is proposed. The code can successfully simulate C-type shocks. The results of the linear stability analysis by Wardle are confirmed, and the nonlinear behavior of the instability is explored.
- Publication:
-
The Astrophysical Journal
- Pub Date:
- April 1994
- DOI:
- 10.1086/173973
- Bibcode:
- 1994ApJ...425..171T
- Keywords:
-
- Computational Astrophysics;
- Elastic Scattering;
- Euler Equations Of Motion;
- Interstellar Matter;
- Magnetohydrodynamics;
- Numerical Analysis;
- Shock Waves;
- Two Dimensional Models;
- Two Fluid Models;
- Algorithms;
- Boundary Conditions;
- Computerized Simulation;
- Differential Equations;
- Grid Generation (Mathematics);
- Linear Equations;
- Nonlinearity;
- Astrophysics;
- METHODS: NUMERICAL;
- MAGNETOHYDRODYNAMICS: MHD;
- SHOCK WAVES