Lattice BBGKY scheme for two-phase flows: One-dimensional case

Aiguo Xu, Sauro Succi and Bruce M. Boghosian

Mathematics and Computers in Simulation (MATCOM), 2006, vol. 72, issue 2, 249-252

Abstract: A novel lattice Boltzmann model for two-phase fluids is presented. We begin with the two-body BBGKY equation, and perform a coordinate transformation to split it into a Boltzmann equation for the one-body distribution, coupled to a kinetic equation for the correlation function. The coupling is accomplished by a self-consistent force. The resulting lattice Boltzmann model for nonideal fluids is grounded in the physics of the two-body distribution function. The discrete velocity model is described in detail, and numerical results are given for phase separation in one dimension.

Keywords: Lattice Boltzmann method; Two-phase flow; BBGKY; Lennard–Jones potential (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:72:y:2006:i:2:p:249-252

DOI: 10.1016/j.matcom.2006.05.029

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