Free Access
Astron. Astrophys. Suppl. Ser.
Volume 119, Number 1, October_I 1996
Page(s) 177 - 187
Published online 15 October 1996
A new prescription for viscosity in Smoothed Particle Hydrodynamics DOI: 10.1051/aas:1996104

Astronomy and Astrophysics Supplement Series, Vol. 119, October I 1996, 177-187

A new prescription for viscosity in Smoothed Particle Hydrodynamics

S.J. Watkins, A.S. Bhattal, N. Francis, J.A. Turner and A.P. Whitworth

Send offprint requests to: S. Watkins, e-mail:

Department of Physics and Astronomy, University of Wales, Cardiff, CF2 3BY, Wales, UK

Received October 2, 1995; accepted February 21, 1996


Smoothed particle hydrodynamics (SPH) is a particle method for modelling hydrodynamical flows that has been successfully applied to a wide range of astrophysical problems. One of its main weaknesses, however, has been its inability to treat viscosity in a rigorous manner. We present a new method that can be used to solve the Navier-Stokes equation for an arbitrary viscosity. We compare the accuracy of the method to alternative methods for treating viscosity in SPH, and apply the method to a series of tests for which there exist analytic solutions. We find that the new method is significantly more accurate than other existing methods, computationally efficient, and that the results of simulations carried out using the method are in excellent agreement with the theory.

Key words: hydrodynamics --- methods: numerical

Copyright EDP Sciences

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.