Two-dimensional finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids

Details Two-dimensional finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids Two-dimensional finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids

2004-10-18

arxiv.org/abs/cond-mat/0410431v2

Europhysics Letters, 69(2), pp. 214-220 (2005)

Physics

Condensed Matter

Statistical Mechanics

7 pages in EPL format, 2 figures

Scientific paper

10.1209/epl/i2004-10334-y

Based on Sirovich's two-fluid kinetic theory and 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.

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