Numerical study of two-fluid C-type shock waves

Statistics – Computation

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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

Scientific paper

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.

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