2007/09/30 by Daniel J. Price · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Classical mechanics #Classification of discontinuities #Computational Fluid Dynamics and Aerodynamics #Context (archaeology) #Dissipation #Dissipative system #Fluid Dynamics Simulations and Interactions #Fluid Dynamics and Vibration Analysis #Geology #Helmholtz free energy #Mathematical analysis #Mathematics #Mechanics #Physics #Smoothed-particle hydrodynamics #Statistical physics #Thermodynamics #astro-ph
paper · pdf · doi:10.1016/j.jcp.2008.08.011
published as J.Comput.Phys.227:10040-10057,2008 · 31 pages, 10 figures, submitted to J. Comp. Phys. Movies + hires version available at http://www.astro.ex.ac.uk/people/dprice/pubs/kh/ . v3: modified as per referee's comments - comparison with Ritchie & Thomas formulation added, quite a few typos fixed. No major change in method
arxiv created 2008/06/02 · openalex publication_date 2008/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we discuss the treatment of discontinuities in Smoothed Particle Hydrodynamics (SPH) simulations. In particular we discuss the difference between integral and differential representations of the fluid equations in an SPH context and how this relates to the formulation of dissip ative terms for the capture of shocks and other discontinuities. This has important implications for many problems, in particular related to recently highlighted problems in treating Kelvin-Helmholtz instabilities across entropy gradients in SPH. The specific problems pointed out by Agertz et al. (2007) are shown to be related in particular to the (lack of) treatment of contact discontinuities in standard SPH formulations which can be cured by the simple application of an artificial thermal conductivity term. We propose a new formulation of artificial thermal conductivity in SPH which minimises dissipation away from discontinuities and can therefore be applied quite generally in SPH calculations.