Europhys. Lett.
Volume 73, Number 5, March 2006
Page(s) 664 - 670
Section General
Published online 27 January 2006
Europhys. Lett., 73 (5), pp. 664-670 (2006)
DOI: 10.1209/epl/i2005-10460-0

Consistent particle-based algorithm with a non-ideal equation of state

T. Ihle1, E. Tüzel2, 3 and D. M. Kroll1, 3

1  Department of Physics, North Dakota State University P.O. Box 5566, Fargo, ND 58102, USA
2  School of Physics and Astronomy, University of Minnesota 116 Church Street SE, Minneapolis, MN 55455, USA
3  Supercomputing Institute, University of Minnesota 599 Walter Library - 117 Pleasant St. SE, Minneapolis, MN 55455, USA

received 21 September 2005; accepted in final form 11 January 2006
published online 27 January 2006

A thermodynamically consistent particle-based model for fluid dynamics with continuous velocities and a non-ideal equation of state is presented. Excluded-volume interactions are modeled by means of biased stochastic multiparticle collisions which depend on the local velocities and densities. Momentum and energy are conserved locally. The equation of state is derived and compared to independent measurements of the pressure. Results for the kinematic shear viscosity and self-diffusion constants are presented. For fixed density, a caging and order/disorder transition is observed with increasing collision frequency.

02.70.Ns - Molecular dynamics and particle methods.
47.11.-j - Computational methods in fluid dynamics.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.

© EDP Sciences 2006