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Smoothed Particle Hydrodynamics and Magnetohydrodynamics
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This paper presents an overview and introduction to Smoothed Particle Hydrodynamics and Magnetohydrodynamics in theory and in practice. Firstly, we give a basic grounding in the fundamentals of SPH, showing how the equations of motion and energy can be self-consistently derived from the density estimate. We then show how to interpret these equations using the basic SPH interpolation formulae and highlight the subtle difference in approach between SPH and other particle methods. In doing so, we also critique several `urban myths' regarding SPH, in particular the idea that one can simply increase the `neighbour number' more slowly than the total number of particles in order to obtain convergence. We also discuss the origin of numerical instabilities such as the pairing and tensile instabilities. Finally, we give practical advice on how to resolve three of the main issues with SPMHD: removing the tensile instability, formulating dissipative terms for MHD shocks and enforcing the divergence constraint on the particles, and we give the current status of developments in this area. Accompanying the paper is the first public release of the NDSPMHD SPH code, a 1, 2 and 3 dimensional code designed as a testbed for SPH/SPMHD algorithms that can be used to test many of the ideas and used to run all of the numerical examples contained in the paper.
Forward citations
Cited by 6 Pith papers
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An Adjoint Projection Formulation for Enforcing the divergence-free Constraint in Smoothed Particle Magnetohydrodynamics
Introduces an adjoint projection method using volume-weighted metric to control numerical ∇·B errors in SPMHD, achieving roundoff-level accuracy with 1-10% overhead and consistent physical structures versus divergence...
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Are most detected tidal disruption events partial?
SPH simulations of zero-energy partial TDEs find fallback ~t^{-9/4}, optical luminosities 10^{42-44} erg/s at 10^4 K and radii 10-100 au, indicating many detected TDEs may be partial rather than full.
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Full one-fluid dusty gas with multiple grain species in SPH
Presents and benchmarks an SPH code for the full one-fluid dusty gas with multiple species that conserves mass, momentum, angular momentum and energy while recovering analytic solutions where the terminal velocity app...
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FLAMINGO: The thermal history of the Universe from tSZ effect cross-correlations and its dependencies on cosmology and baryon physics
FLAMINGO simulations show tSZ cross-correlations scale as S8 to the power of about 3 and favor low S8=0.72 with strong feedback when compared to SDSS, BOSS, DES, and Planck data.
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FLAMINGO: The thermal history of the Universe from tSZ effect cross-correlations and its dependencies on cosmology and baryon physics
tSZ cross-correlations with large-scale structure tracers prefer low S8 and strong baryonic feedback, yielding S8 = 0.72 and low group baryon fraction in FLAMINGO simulations.
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Dust Formation in Common Envelope Binary Interactions -- III. Lightcurves
Post-processing of 44-year adiabatic 3D simulations of common envelope events yields lightcurves with a 3-5 year hot peak from photosphere expansion, dust formation after 1-3 years causing bolometric decline and 400 K...
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