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A two-fluid method for ambipolar diffusion

2008/06/24 by David A. Tilley, Dinshaw S. Balsara · 1 citation
Engineering · Physics and Astronomy · #Ambipolar diffusion #Astrophysics and Star Formation Studies #Classical mechanics #Computational Fluid Dynamics and Aerodynamics #Computational physics #Diffusion #Magnetohydrodynamic drive #Magnetohydrodynamics #Mechanics #Nuclear physics #Physics #Plasma #Solar and Space Plasma Dynamics #Space (punctuation) #Thermodynamics #astro-ph

paper · pdf · doi:10.1111/j.1365-2966.2008.13636.x

29 pages, 16 figures, accepted to MNRAS

arxiv created 2008/06/24 · openalex publication_date 2008/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a semi-implicit method for isothermal two-fluid ion–neutral ambipolar drift that is second-order accurate in space and time. The method has been implemented in the riemann code for astrophysical fluid dynamics. We present four test problems that show the method works and correctly tracks the propagation of magnetohydrodynamic (MHD) waves and the structure of two-fluid C-shocks. The accurate propagation of MHD waves in the two-fluid approximation is shown to be a stringent test of the algorithm. We demonstrate that highly accurate methods are required in order to properly capture the MHD wave behaviour in the presence of ion–neutral friction.

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