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Fundamental differences between SPH and grid methods

2006/10/02 by Oscar Agertz, Ben Moore, Joachim Stadel +19 · 7 citations
Computer Science · Engineering · Physics and Astronomy · #Computer Graphics and Visualization Techniques #Fluid Dynamics Simulations and Interactions #Fluid Dynamics and Heat Transfer #astro-ph

paper · pdf · doi:10.1111/j.1365-2966.2007.12183.x

published as Mon.Not.Roy.Astron.Soc.380:963-978,2007 · 15 pages, 13 figures, to be submitted to MNRAS. For high-resolution figures, please see http://www-theorie.physik.unizh.ch/~agertz/

arxiv created 2006/10/02 · openalex publication_date 2007/08/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We have carried out a comparison study of hydrodynamical codes by investigating their performance in modelling interacting multiphase fluids. The two commonly used techniques of grid and smoothed particle hydrodynamics (SPH) show striking differences in their ability to model processes that are fundamentally important across many areas of astrophysics. Whilst Eulerian grid based methods are able to resolve and treat important dynamical instabilities, such as Kelvin–Helmholtz or Rayleigh–Taylor, these processes are poorly or not at all resolved by existing SPH techniques. We show that the reason for this is that SPH, at least in its standard implementation, introduces spurious pressure forces on particles in regions where there are steep density gradients. This results in a boundary gap of the size of an SPH smoothing kernel radius over which interactions are severely damped.

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