To evaluate the accuracy of the lattice Boltzmann method with the zonal grid refinement for high Reynolds number turbulent flows, large eddy simulation of turbulent channel flows is carried out by the D3Q27 multiple-relaxation time lattice Boltzmann method with the imbalance-correction grid refinement method. Considering the continuity of the pressure and the momentum fluxes at the finer and co...

Based on the no-slip boundary condition for walls at rest for the lattice Boltzmann Bathnagar-Gross-Krook method by J.C.G. Verschaeve [10], a no-slip boundary condition for walls with a tangential movement is derived. Numerical tests verify that the present boundary condition is second order accurate and stable for relaxation frequencies close to two.

the effects of single walled carbon nanotube (swcnt) on mixed convection in a cavity are investigated numerically. the problem is studied for different richardson numbers (0.1-10), volume fractions of nanotubes (0-1%), and aspect ratio of the cavity (0.5-2.5) when the grashof number is equal to 103. the volume fraction of added nanotubes to water as base fluid are lowers than 1% to make dilute ...

The Bhatnagar-Gross-Krook (BGK) single-relaxation-time collision model for the Boltzmann equation serves as foundation of lattice BGK (LBGK) method developed in recent years. description a uniform relaxation process distribution function towards its equilibrium is, many scenarios, simplistic. Based on previous series papers, we present formulated independent relaxations irreducible components H...

A two-dimensional double Multiple-Relaxation-Time thermal lattice Boltzmann method is used to simulate natural convection flows in differentially heated cavities. The buoyancy effects are considered under the Boussinesq assumption. Flow and temperature fields are respectively solved with nine and five discrete velocities models. Boundary conditions are implemented with the classical bounce-back...

– A non-perturbative analysis of the Bhatnagar-Gross-Krook (BGK) model kinetic equation for finite values of the Knudsen number is presented. This analysis indicates why discrete kinetic versions of the BGK equation, and notably the Lattice Boltzmann method, can provide semi-quantitative results also in the non-hydrodynamic, finite-Knudsen regime, up to Kn ∼ O(1). This may help the interpretati...