The Lattice Boltzmann method (LBM) has proven to be a promising approach in handling multiphase flow problems. In the most widely applied pseudopotential-based LBM multiphase models, multiphase effects can be added in the form of forces, which is further divided into two aspects of force...

We develop a discrete model for multi-component viscoelastic fluids based on the lattice Boltzmann method. The model newly introduces the kinetics of polymers so that viscoelasticity is included. We perform three-dimensional simulations of a Newtonian drop in shear flow of a viscoelastic fluid...

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...

In this paper magnetohydrodynamic free convection flow of CuO–water nanofluid in a square enclosure with a rectangular heated body is investigated numerically using Lattice Boltzmann Method (LBM) scheme. The effective thermal conductivity and viscosity of nanofluid are calculated by KKL...

The classical Chapman–Enskog expansion is performed for the recently proposed finite-volume formulation of lattice Boltzmann equation (LBE) method [D.V. Patil, K.N. Lakshmisha, Finite volume TVD formulation of lattice Boltzmann simulation on unstructured mesh, J. Comput. Phys. 228 (2009)...

A new multiphase lattice Boltzmann model based on the cascaded collision operator is developed to study the spinodal decomposition of critical quenches in the inertial hydrodynamic regime. The proposed lattice Boltzmann model is able to investigate simulations of multiphase spinodal...

In this paper, a lattice Boltzmann model with an amending function is proposed for the generalized Kuramoto–Sivashinsky equation that has the form ut+uux+αuxx+βuxxx+γuxxxx=0. With the Chapman–Enskog expansion, the governing evolution equation is recovered correctly from the continuous...

A new lattice Boltzmann model within the framework of D2Q9 lattices for Bingham plastics is proposed. The essence of the present model lies in incorporation of the effect of local shear rate into the lattice equilibrium distribution function. With this arrangement, particle distribution...