Lattice Boltzmann simulations of liquid-gas and binary fluid systems

Abstract

We present the details of a lattice Boltzmann approach to phase separation in nonideal one- and two-component fluids. The collision rules are chosen such that the equilibrium state corresponds to an input foe energy and the bulk flow is governed by the continuity, Navier-Stokes, and, for the binary fluid, a convection-diffusion equation. Numerical results are compared to simple analytic predictions to confirm that the equilibrium state is indeed thermodynamically consistent and that the kinetics of the approach to equilibrium lie within the expected universality classes. The approach is compared to other lattice Boltzmann simulations of nonideal systems

Multiphase lattice Boltzmann simulations for porous media applications

“…Among them, five representative models are the color gradient model [79][80][81], the inter-particle potential model [82][83][84], the free-energy model [85,86], Fig. 1 Single phase flow in a segmented, μCT image of a Dolomite sample including a a rendering of the pore volume (i.e.…”

Controlling Drop Size and Polydispersity Using Chemically Patterned Surfaces

“…We use a lattice Boltzmann algorithm [31,32,33] to solve the hydrodynamic equations of motion for the drop movement across the patterned substrates thus exploring the key parameters of possible devices. This numerical approach has been shown to agree well with experiments in several cases [1,2,4], giving us confidence in using it for the more complicated situations considered here.…”

Mesoscopic Modelling of Droplets on Topologically Patterned Substrates

“…These are equal to 3 and 1 respectively when one considers a D3Q15 lattice (see [7] for more details). It can be shown [8] that equation (4) reproduces the Navier-Stokes equations of a non-ideal gas if the local equilibrium functions are chosen as…”