Asymptotic analysis of multiple-relaxation-time lattice Boltzmann schemes for mixture modeling

Asymptotic analysis of multiple-relaxation-time lattice Boltzmann schemes for mixture modeling

A new lattice Boltzmann model for simulating ideal mixtures has been developed by means of the multiple-relaxation-time (MRT) approach. If compared with the previous single-relaxation-time (SRT) formulation of the same model, based on the continuous kinetic theory, the new model offers the possibility to independently tune the mutual diffusivity and the effects of cross collisions on the effect...

Lattice Boltzmann Schemes for Homogeneous Mixture Flow Modeling

2 Macroscopic modeling 5 2.1 Concentration measures, mixture velocity and diffusion fluxes . . . . . . . . 5 2.2 Species transport equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Fick model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Limits of Fick model: osmotic diffusion, reverse diffusion and diffusion barrier 8 2.5 Maxwell-Stefan mo...

Multiple-relaxation-time lattice Boltzmann scheme for homogeneous mixture flows with external force.

A lattice Boltzmann scheme is developed for homogeneous mixture modeling, based on the multiple-relaxation-time (MRT) formulation, which fully recovers the Maxwell-Stefan diffusion model in the continuum limit with (a) external force and (b) tunable Schmidt number. The theoretical basis of the proposed MRT formulation is a recently proposed Bhatnagar-Gross-Krook-type kinetic model for gas mixtu...

Asymptotic analysis of the lattice Boltzmann equation

In this article we analyze the lattice Boltzmann equation (LBE) by using the asymptotic expansion technique. We first relate the LBE to the finite discrete-velocity model (FDVM) of the Boltzmann equation with the diffusive scaling. The analysis of this model directly leads to the incompressible Navier–Stokes equations, as opposed to the compressible Navier–Stokes equations obtained by the Chapm...

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