757 citations · 12.6k across the 181 of their papers we have counts for
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astro-ph2003★ 171 cited
Smoothed Particle Magnetohydrodynamics II. Variational principles and variable smoothing length terms
D. J. Price, J. J. Monaghan
In this paper we show how a Lagrangian variational principle can be used to derive the SPMHD (smoothed particle magnetohydrodynamics) equations for ideal MHD. We also consider the…
astro-ph2003★ 125 cited
Smoothed Particle Magnetohydrodynamics I. Algorithms and tests in one dimension
D. J. Price, J. J. Monaghan
In this paper we show how the Smoothed Particle Hydrodynamics (SPH) equations for ideal magnetohydrodynamics (MHD) can be written in conservation form with the positivity of the di…
astro-ph2003★ 1 cited
Smoothed Particle Magnetohydrodynamics (some shocking results...)
D. J. Price, J. J. Monaghan
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 problem…