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Smoothed Particle Hydrodynamics: Things I wish my mother taught me
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I discuss the key features of Smoothed Particle Hydrodynamics (SPH) as a numerical method - in particular the key differences between SPH and more standard grid based approaches - that are important to the practitioner. These include the exact treatment of advection, the absence of intrinsic dissipation, exact conservation and more subtle properties that arise from its Hamiltonian formulation such as the existence of a minimum energy state for the particles. The implications of each of these are discussed, showing how they can be both advantages and disadvantages.
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Cited by 2 Pith papers
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On the origin of anomalous dissipation in simulations of tidal disruption events
Anomalous pre-intersection dissipation in TDE simulations is numerical in origin, arising from pericenter kinematics combined with algorithm sensitivities to converging versus diverging flows.
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On the boundary condition and related instability in the Smoothed Particle Hydrodynamics
Boundary condition handling, not just kernel choice, largely determines whether SPH simulations of Burgers' equation stay stable, and particles can cross through each other near boundaries when smoothing length far ex...
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