A pressure (density) and a corner no-slip boundary condition formulation are introduced for the two-dimensional lattice Boltzmann method and numerically tested for the Hagen–Poiseuille flow case in this work. Both formulations are derived independently of the equilibrium distribution function...

Results of direct numerical (DNS) and large eddy simulation (LES) of turbulent longitudinal flow in rod bundles are presented using the lattice Boltzmann method with the Bhatnagar–Gross–Krook collision operator [P.L. Bhatnagar, E.P. Gross, M. Krook, A model for collision processes in gases....

We present a qualitative analysis of the flow pattern in cerebral aneurysms and the effect on the velocity reduction of stent implantation. We use the Lattice Boltzmann (LB) method, which implements a mesoscopic dynamics of the interactions between fictitious particles. LB provides an efficient...

A novel lattice Boltzmann model for two-phase fluids is presented. We begin with the two-body BBGKY equation, and perform a coordinate transformation to split it into a Boltzmann equation for the one-body distribution, coupled to a kinetic equation for the correlation function. The coupling is...

The simulation of a stationary fluid flow past an obstacle by means of a lattice Boltzmann method is discussed. The problem of finding appropriate boundary conditions on the boundaries of the truncated numerical domain is addressed by a method recently discussed in the literature, based on a...

The lattice Boltzmann method (LBM) for multicomponent immiscible fluids is applied to simulations of the deformation and breakup of a particle-cluster aggregate in shear flows. In the simulations, the solid particle is modeled by a droplet with strong interfacial tension and large viscosity. The...

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...

In this study, using the lattice Boltzmann method, we simulate soot accumulation in porous media to examine the particle trap in a diesel particulate filter (DPF). The porous media are numerically formed for different inner structure with given porosity. The porous structure similar to the real...

Lattice Boltzmann simulations of a particulate suspension in plane Poiseuille flow and two-dimensional bifurcation flow are conducted to investigate the blood cell behavior at microvascular bifurcations. The simulation results of Poiseuille flow at a low hematocrit reveal that particles are...

A fractional step lattice Boltzmann scheme is presented to greatly improve the stability of the lattice Boltzmann method (LBM) in modelling incompressible flows at high Reynolds number. This method combines the good features of the conventional LBM and the fractional step technique. Through the...