Three-dimensional 12-velocity multiple-relaxation-time lattice Boltzmann model of incompressible flows

Incompressible limits of lattice Boltzmann equations using multiple relaxation times

Lattice Boltzmann equations using multiple relaxation times are intended to be more stable than those using a single relaxation time. The additional relaxation times may be adjusted to suppress non-hydrodynamic modes that do not appear directly in the continuum equations, but may contribute to instabilities on the grid scale. If these relaxation times are fixed in lattice units, as in previous ...

Lattice Boltzmann model for incompressible flows through porous media.

In this paper a lattice Boltzmann model is proposed for isothermal incompressible flow in porous media. The key point is to include the porosity into the equilibrium distribution, and add a force term to the evolution equation to account for the linear and nonlinear drag forces of the medium (the Darcy's term and the Forcheimer's term). Through the Chapman-Enskog procedure, the generalized Navi...

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

Multiple - Relaxation - Time Lattice Boltzmann Method for Multiphase Flows with High Density and Viscosity Ratios - 10135

In this paper, the lattice Boltzmann method is reviewed for specific applications to numerical simulation of multiphase flow problems. A thorough literature review regarding the multi-phase lattice Boltzmann method was conducted with special focus on flows with large density and viscosity ratios between the two phases. A multiphase model with the capability of handling large-density-ratios is c...