Two-dimensional finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluidsAiguo Xu
Department of Physics, Yoshida-South Campus, Kyoto University Sakyo-ku, Kyoto, 606-8501, Japan
received 8 July 2004; accepted in final form 10 November 2004
published online 15 December 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.
47.11.+j - Computational methods in fluid dynamics.
51.10.+y - Kinetic and transport theory of gases.
05.20.Dd - Kinetic theory.
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