Improved three-dimensional multiple-relaxation-time color-gradient lattice Boltzmann finite-difference model for thermocapillary flows

Hybrid multiple-relaxation-time lattice-Boltzmann finite-difference method for axisymmetric multiphase flows

We propose a hybrid lattice-Boltzmann finite-difference method to simulate axisymmetric multiphase flows. The hydrodynamics is simulated by the lattice-Boltzmann equations with the multiple-relaxation-time (MRT) collision model and suitable forcing terms that account for the interfacial tension and axisymmetric effects. The interface dynamics is captured by the finitedifference solution of the ...

Entropic and multiple relaxation time lattice Boltzmann methods compared for time harmonic flows

Lattice-Boltzmann and finite-difference simulations for the permeability for three-dimensional porous media.

Numerical micropermeametry is performed on three-dimensional porous samples having a linear size of approximately 3 mm and a resolution of 7.5 microm. One of the samples is a microtomographic image of Fontainebleau sandstone. Two of the samples are stochastic reconstructions with the same porosity, specific surface area, and two-point correlation function as the Fontainebleau sample. The fourth...

Finite-difference lattice Boltzmann model for liquid-vapor systems

A two-dimensional finite-difference lattice Boltzmann model for liquid–vapor systems is introduced and analyzed. Two different numerical schemes are used and compared in recovering equilibrium density and velocity profiles for a planar interface. We show that flux limiter techniques can be conveniently adopted to minimize spurious numerical effects and improve the numerical accuracy of the mode...

Finite Difference Lattice Boltzmann Model for Liquid Vapour Systems

Lattice Boltzmann (LB) models [1,2,3,4,5] provide an alternative to current methods in computational fluid dynamics (CFD). Unlike conventional numerical techniques based on the discretization of the macroscopic fluid equations, LB models are based on the physics at the mesoscopic scale, while the macroscopic level phenomena are recovered from evolution equations which contain the force a F m = ...