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

Abstract

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.

7 pages in EPL format, 2 figures

References in corpus (7)

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• FFT-LB modeling of thermal liquid-vapor systems
• Three-dimensional discrete Boltzmann models for compressible flows in and out of equilibrium
• Simulating liquid-vapor phase separation under shear with lattice Boltzmann method
• Hydrodynamics for inelastic Maxwell mixtures: Some applications