To evaluate a lattice Boltzmann method (LBM) for the three dimensional continuum to non-continuum transitional flow regimes, the results are compared with those of the molecular dynamics (MD) simulations by the Leonard-Jones potential. The flow field considered is in a modeled nanoporous medium whose porosity is 0.88 and consists of square cylinder rods. The equations used in the LBM are modifi...

The lattice Boltzmann method (LBM) is becoming increasingly popular for the computational simulation of fluid flow. This approach is based on kinetic theory, and considers the evolution of distributions of particles on a lattice whose collective behaviour represents that of the equations governing the motion of fluids. The use of the LBM is attractive as it has a relatively fast execution speed...

The Taylor series expansionand least squares-based lattice Boltzmann method (TLLBM) was used in this paper to extend the current thermal model to an arbitrary geometry so that it can be used to solve practical thermo-hydrodynamics in the incompressible limit. The new explicit method is based on the standard lattice Boltzmann method (LBM), Taylor series expansion and the least squares approach. ...

The Lattice Boltzmann Method (LBM) with double populations is applied to solve the steady-state laminar natural convective heat transfer in a triangular cavity filled with water. The bottom wall is heated, the vertical wall is cooled, and the inclined wall is kept adiabatic. The buoyancy effect was modeled by applying the Boussinesq approximation to the momentum equation. The fluid velocity is ...

For numerically solving fluid dynamics problems efficiently one is often facing the problem that one has to confine the computational domain to a small domain of interest introducing so-called non-reflecting boundary conditions (NRBCs). In this work we address the problem of supplying NRBCs in fluid simulations in two space dimensions using the lattice Boltzmann method (LBM): socalled character...

We introduce a hybrid approach for the simulation of fluids based in the Lattice Boltzmann Method for Shallow Waters and particle systems. Our modified LBM Shallow Waters can handle arbitrary underlying terrain and arbitrary fluid depth. It also introduces a novel and simplified method of tracking dry-wet regions. Dynamic rigid bodies are also included in our simulations using a two-way couplin...

Propagation of sound waves in air can be considered as a special case of fluid dynamics. Consequently, the lattice Boltzmann method (LBM) for fluid flow can be used for simulating sound propagation. In this article application of the LBM to sound propagation is illustrated for various cases: free-field propagation, propagation over porous and non-porous ground, propagation over a noise barrier,...

In the last two decades, the Lattice Boltzmann method (LBM) has emerged as a promising tool for modelling the Navier-Stokes equations and simulating complex fluid flows. LBM is based on microscopic models and mesoscopic kinetic equations. In some perspective, it can be viewed as a finite difference method for solving the Boltzmann transport equation. Moreover the Navier-Stokes equations can be ...

in this paper, two dimensional natural convection heat transfer in non-square cavities such as triangle, trapezoid, quadrant-circle and semi-circular are investigated via lattice boltzmann method. the prandtl number is taken as 0.71 that corresponds to that of air. the results show that, when the flow pattern consists of two rotating cell, there is a extremum point in the variations of the loca...

The Lattice Boltzmann method (LBM) is a well established algorithm to simulate fluid flow. The complexity of todays 3D simulation problems resulting in long computation times together with the fact that a standard implementation of the LBM only achieves a small fraction of the potential of a modern CPU is the motivation for this performance analysis. We show in our paper, that it is crucial to ...