Hybrid lattice Boltzmann model for binary fluid mixtures

Details Hybrid lattice Boltzmann model for binary fluid mixtures Hybrid lattice Boltzmann model for binary fluid mixtures

2009-02-23

arxiv.org/abs/0902.3921v2

Phys. Rev. E 80, 026701 (2009)

Physics

Condensed Matter

Soft Condensed Matter

Final version, to appear in Phys. Rev. E

Scientific paper

A hybrid lattice Boltzmann method (LBM) for binary mixtures based on the free-energy approach is proposed. Non-ideal terms of the pressure tensor are included as a body force in the LBM kinetic equations, used to simulate the continuity and Navier-Stokes equations. The convection-diffusion equation is studied by finite difference methods. Differential operators are discretized in order to reduce the magnitude of spurious velocities. The algorithm has been shown to be stable and reproducing the correct equilibrium behavior in simple test configurations and to be Galilean invariant. Spurious velocities can be reduced of about an order of magnitude with respect to standard discretization procedure.

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