Equilibria for the common two-dimensional, nine-velocity (D2Q9) lattice Boltzmann equation are not uniquely determined by the Navier–Stokes equations. An otherwise undetermined function must be chosen to suppress grid-scale instabilities. By contrast, the Navier–Stokes–Fourier equations with heat conduction determine unique equilibria for a one-dimensional, five-velocity (D1Q5) model on an inte...

In this work, for better understanding of drug delivery systems, blood flow over a ceramic nanoparticle is investigated through microvessels. Drug is considered as a nanoparticle coated with the rigid ceramic. Due to the low characteristic size in the microvessel, the fluid flow is not continuum and the no-slip boundary condition cannot be applied. To solve this problem lattice Boltzmann method...

A lattice Boltzmann model for simulating multiphase flows with large density ratios is described in this paper. The method is easily implemented. It does not require solving the Poisson equation and does not involve the complex treatments of derivative terms. The interface capturing equation is recovered without any additional terms as compared to other methods [M.R. Swift, W.R. Osborn, J.M. Ye...

describes the evolution of a density of particles in a medium in which the particles don’t interact among themselves. The motion of each particle is described by a jump process: The speed of a particle is constant (equal to one), and also the direction is constant in exponentially distributed time intervals. At the end of such an interval, the direction jumps according to a law that corresponds...