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...

The paper describes a new computational tool based on lattice Boltzmann methods for the simulation of two-phase flow and heat transfer phenomena in boiling water reactor fuel bundles.

Although diesel engines have an advantage of low fuel consumption in comparison with gasoline engines, several problems must be solved. One of the major concerns is that diesel exhaust gas has more particle matters (PM) including soot, which are suspected to be linked to human carcinogen. As one...

In this paper we present an improved lattice Boltzmann model for compressible Navier–Stokes system with high Mach number. The model is composed of three components: (i) the discrete-velocity-model by M. Watari and M. Tsutahara [Phys. Rev. E 67 (2003) 036306], (ii) a modified Lax–Wendroff...

When the lattice Boltzmann (LB) method is used to solve hydrodynamic problems containing a body force term varying in space and/or time, its modelling at the mesoscopic scale must be verified in terms of consistency in order to avoid the appearance of non-hydrodynamic error terms at the...

A numerical study using the lattice Boltzmann method has been carried out for flow through a rotating straight channel with a rectangular cross section. With different forces applied, the secondary flow exhibits two-cell states, four-cell states or six-cell states at a range of low rotational...

The current finite difference lattice Boltzmann method (FDLBM) gives a fixed specific heat ratio because internal energy is limited to the translational freedom of the space. Yan et al. and Kataoka et al. clarified the conditions for deriving models with arbitrary specific heat ratio and...

The quench of a binary mixture into a stable lamellar phase is numerically investigated. We present a novel approach to study the phenomenological equations governing the system dynamics based on the combination of lattice Boltzmann and finite difference equations. We can access large systems on...

The results of a lattice Boltzmann simulation for collisions between two liquid drops in an immiscible liquid in a linear Stokes flow will be presented. The results will be compared with existing experimental results and asymptotic solutions. The mixing of a contaminant that is initially...