This paper deals with Lattice Boltzmann computation of two-dimensional incompressible flow past two heat elliptical sinks vertically attached to the horizontal walls a cavity in presence magnetic field. A dimensional nine-velocity square lattice (D2Q9) model is used. The obtained results show that applied method (LBM) can effectively capture vortex shedding structures and other features inside ...

A mesoscopic method based on the lattice Boltzmann for thermal–solutal incompressible non-Newtonian power-law fluids through porous media is introduced. The macroscopic equations of different representative element volume (REV) models are presented, and various REV reported. general model two- three-dimensional cases their derivations shown. To demonstrate ability proposed method, natural conve...

The lattice Boltzmann method (LBM) was used to analyze two-dimensional (2D) non-Fourier heat conduction with temperature-dependent thermal conductivity. To this end, the evolution of wave-like temperature distributions in a 2D plate was obtained. The temperature distributions along certain parts of the plate, which was subjected to heat generation and constant thermal conductivity condit...

Pressure (density) and velocity boundary conditions inside a flow domain are studied for 2D and 3-D lattice Boltzmann BGKmodels (LBGK) and new method to specify these conditions are proposed. These conditions are consistent with the boundary condition we proposed in [1] using an idea of bounce-back of non-equilibrium distribution. These conditions give excellent results for the regular LBGKmode...

We examine a diffusive, incompressible three component mixing system with symmetric, degenerate equilibrium values of the free energy. To the best of our knowledge, this presents the first example of a realization of a phase ordering system with a conserved two component vector order parameter. We present and discuss the dynamics of our system in one, two, and three dimensional systems using th...

Lattice Boltzmann equations (LBE) are a useful tool for simulating the incompressible Navier-Stokes equations. However, LBE actually simulate a compressible but usually isothermal fluid at some small but finite Mach number. There has been recent interest in using LBE at larger, but still subsonic, Mach numbers, for which the viscous terms in the resulting momentum equation depart appreciably fr...

A relaxation system based on a Lattice-Boltzmann type discrete velocity model is considered in the low Mach number limit. A third order relaxation scheme is developed working uniformly for all ranges of the mean free path and Mach number. In the incompressible Navier-Stokes limit the scheme reduces to an explicit high order finite difference scheme for the incompressible Navier-Stokes equations...