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

T. Ihle et al 2006 Europhys. Lett. 73 664-670   doi: 10.1209/epl/i2005-10460-0  Help

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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

Abstract. 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.

PACS numbers: 02.70.Ns, 47.11.-j, 05.40.-a

Print publication: Issue 5 (March 2006)
Received 21 September 2005, in final form and accepted for publication 11 January 2006
Published 27 January 2006

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