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Smoothed Particle Magnetohydrodynamics - II. Variational principles and variable smoothing-length terms

2003/10/28 by Daniel J. Price, D. J. Price, J. J. Monaghan · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Classical mechanics #Computational Fluid Dynamics and Aerodynamics #Dissipative system #Fluid Dynamics Simulations and Interactions #Fluid Dynamics and Vibration Analysis #Ideal (ethics) #Lagrangian #Magnetic field #Magnetohydrodynamics #Mathematical analysis #Mathematics #Mechanics #Physics #Smoothed-particle hydrodynamics #Smoothing #Statistical physics #Theoretical physics #Thermodynamics #Variable (mathematics) #astro-ph

paper · pdf · doi:10.1111/j.1365-2966.2004.07346.x

published as Mon.Not.Roy.Astron.Soc. 348 (2004) 139 · 14 pages, 4 figures, accepted to MNRAS

arxiv created 2003/10/28 · openalex publication_date 2004/01/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Abstract. There have been some issues in the past in attempts to simulate magnetic fields using the Smoothed Particle Hydrodynamics (SPH) method. SPH is well suited to star formation problems because of its Lagrangian nature. We present new, stable and conservative methods for magnetohydrodynamics (MHD) in SPH and present numerical tests in one dimension to show that it gives robust and accurate results.

Citations

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