We have investigated the feasibility of the hybrid-type method of lattice Boltzmann and Brownian dynamics as a simulation technique for a magnetic particle suspension. To do so, we have addressed aggregation phenomena in thermodynamic equilibrium and have compared the present results with those of Monte Carlo method and the previous lattice Boltzmann method based on fluctuation hydrodynamics (F...

Lattice Boltzmann Method (LBM) is a novel numerical method for flows simulations. Compared with classic methods of Finite Difference Method, Finite Volume Method and Finite Element Method, LBM has numerous advantages, including inherent parallelization and simplicity of boundary condition treatment. The LBM usually has a constraint of incompressible fluid (Mach number less than 0.4). A variant ...

Simulating inhomogeneous flows with different characteristic scales in coordinate directions using the collide-and-stream based lattice Boltzmann methods (LBM) can be accomplished efficiently rectangular grids. We develop and investigate a new central moment LBM on non-orthogonal basis (referred to as RC-LBM). The equilibria which moments relax under collision this approach are obtained from ma...

Global classical solutions near Maxwellians are constructed for the Boltzmann and Landau equations with soft potentials in the whole space. The construction of global solutions is based on refined energy analysis. Our results generalize the classical results in Ukai and Asano (Publ. Res. Inst. Math. Sci. 18 (1982), 477–519) to the very soft potentials for the Boltzmann equation and also extend ...

This paper presents a stencil adaptive phase-field lattice Boltzmann method (LBM) for the simulation of two-dimensional multiphase flows. In the phase-field model, the interface is viewed as a layer with finite thickness where physical parameters vary steeply and continuously. In the present study, a phasefield LBM is used. In this model, the Cahn–Hilliard equation can be correctly recovered by...

Article history: Received 29 August 2017 Received in revised form 2 December 2017 Accepted 11 December 2017 2010 MSC: 00-01 99-00

We prove that no H theorem exists for the athermal lattice Boltzmann equation with polynomial equilibria satisfying the conservation laws exactly and explicitly. The proof is demonstrated by using the seven-velocity model in a triangular lattice in two dimensions, and can be readily extended to other lattice Boltzmann models in two and three dimensions. Some issues pertinent to the numerical in...

The development of most cardiovascular diseases can be associated with certain specific hemodynamic conditions. Hence, a detailed description of such conditions is an important information for the medical community. With this goal in mind, we propose in this work a lattice-Boltzmann Immersed Boundary coupled method to model two and three-dimensional blood flows in deformable vessels. The lattic...