Fundamental differences between SPH and grid methods

Details Fundamental differences between SPH and grid methods Fundamental differences between SPH and grid methods

2006-10-02

arxiv.org/abs/astro-ph/0610051v1

Mon.Not.Roy.Astron.Soc.380:963-978,2007

Astronomy and Astrophysics

Astrophysics

15 pages, 13 figures, to be submitted to MNRAS. For high-resolution figures, please see http://www-theorie.physik.unizh.ch/~ag

Scientific paper

10.1111/j.1365-2966.2007.12183.x

We have carried out a hydrodynamical code comparison study of 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 the SPH smoothing kernel over which information is not transferred.

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