Volume 69, Number 2, January 2005
|Page(s)||214 - 220|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||15 December 2004|
Two-dimensional finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids
Department of Physics, Yoshida-South Campus, Kyoto University Sakyo-ku, Kyoto, 606-8501, Japan
Accepted: 10 November 2004
Based on Sirovich's two-fluid kinetic theory and on a dodecagonal discrete-velocity model, a two-dimensional 61-velocity finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids is formulated. Previous constraints, in most existing lattice Boltzmann methods, on the studied systems, like isothermal and nearly incompressible, are released within the present method. This method is designed to simulate compressible and thermal binary-fluid mixtures. The validity of the proposed method is verified by investigating i) the Couette flow and ii) the uniform relaxation process of the two components.
PACS: 47.11.+j – Computational methods in fluid dynamics / 51.10.+y – Kinetic and transport theory of gases / 05.20.Dd – Kinetic theory
© EDP Sciences, 2005
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