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Smoothed Particle Magnetohydrodynamics: A State of the Union
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Obtaining a stable magnetohydrodynamical (MHD) formalism in SPH - i.e. smoothed particle magnetohydrodynamics (SPMHD) - has proven remarkably difficult. To implement MHD requires two steps: a modification to the momentum equation and an induction equation, and both present challenges. We first provide an overview of how SPMHD is implemented, and then discuss how this implementation fails and the limitation of various corrective methods - with particular reference to the effects of particle disorder. Although there are many problems for which, with careful choice of corrective measures, good results can be obtained, we then show that, at the very limits of the state of the art, the ability to perform stable MHD calculations in SPH is curtailed by numerical issues.
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Smoothed particle magnetohydrodynamics for simulations of galaxy and cosmic structure formation
A new conservative SPMHD scheme in SWIFT passes standard tests and achieves the first coupling of the EAGLE galaxy formation model to magnetohydrodynamics.
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