Title: Static and dynamic properties of a particle-based algorithm for non-ideal fluids and binary mixtures

Authors: Thomas Ihle, Erkan Tuzel

Addresses: Department of Physics, North Dakota State University, P.O. Box 5566, Fargo, ND 58105, USA. ' Department of Physics, North Dakota State University, P.O. Box 5566, Fargo, ND 58105, USA

Abstract: A recently introduced particle-based model for fluid dynamics with effective excluded volume interactions is analysed in detail. The interactions are modelled by means of stochastic multiparticle collisions which are biased and depend on local velocities and densities. The model is Galilean-invariant; momentum and energy are exactly conserved locally. The isotropy and relaxation to equilibrium are analysed and measured. It is shown how a discrete-time projection operator technique can be used to obtain Green-Kubo relations for the transport coefficients. Because of a large viscosity no long-time tails in the velocity auto-correlation and stress correlation functions were seen. Strongly reduced self-diffusion due to caging and an order/disorder transition are found at high collision frequencies, where clouds consisting of at least four particles form a cubic phase. These structures were analysed by measuring the pair correlation function above and below the transition. Finally, the algorithm is extended to binary mixtures which phase-separate above a critical collision rate.

Keywords: particle-based methods; thermal fluctuations; stochastic rotation dynamics; binary mixtures; complex fluids; multiparticle collision dynamics; fluid dynamics.

DOI: 10.1504/PCFD.2008.018085

Progress in Computational Fluid Dynamics, An International Journal, 2008 Vol.8 No.1/2/3/4, pp.138 - 155

Published online: 30 Apr 2008 *

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