Lattice Boltzmann method for inhomogeneous fluids

Abstract

We present a lattice-based numerical method to describe the non equilibrium behavior of a simple fluid under non-uniform spatial conditions. The evolution equation for the one-particle phase-space distribution function is derived starting from a microscopic description of the system. It involves a series of approximations which are similar to those employed in theories of inhomogeneous fluids, such as Density Functional theory. Among the merits of the present approach: the possibility to determine the equation of state of the model, the transport coefficients and to provide an efficient method of numerical solution under non-uniform conditions. The algorithm is tested in a particular non equilibrium situation, namely the steady flow of a hard-sphere fluid across a narrow slit. Pronounced non-hydrodynamic oscillations in the density and velocity profiles are found.

References in corpus (5)

• Simulation of non-ideal gases and liquid-gas phase transitions by lattice Boltzmann equation
• Lattice Boltzmann Simulation of Non-Ideal Fluids
• Dynamic Density Functional Theory of Fluids
• Discretization of the velocity space in solution of the Boltzmann equation
• Mesoscopic modeling of a two-phase flow in the presence of boundaries: the Contact Angle

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