The particle level set method (PLSM) and the lattice Boltzmann method (LBM) have been two major physics-based liquid simulation techniques used in computer graphics to generate splendid and dynamic visual effects. PLSM suffers from a high computational cost which arises from the global pressure correction step whereas LBM requires a large amount of memory to store distribution functions. In thi...

Compared to conventional techniques in computational fluid dynamics, the lattice Boltzmann method (LBM) seems to be a completely different approach to solve the incompressible Navier-Stokes equations. The aim of this article is to correct this impression by showing the close relation of LBM to two standard methods: relaxation schemes and explicit finite difference discretizations. As a side eff...

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 ...

Our recent efforts focusing on improving the lattice Boltzmann method (LBM) are introduced, including an incompressible LB model without compressible effect, a flexible thermal LBM with simple structure for Bousinesq fluids, and a robust boundary scheme. We use them to simulate the lid-driven cavity flow at Reynolds numbers 5000–50000, the natural convection due to internal heat generation in a...

The Lattice Boltzmann Method (LBM) has established itself as a popular numerical method in computational fluid dynamics. Several advancements have been recently made in LBM, which include multiple-relaxation-time LBM to simulate anisotropic advection-diffusion processes. Because of the importance of LBM simulations for transport problems in subsurface and reactive flows, one needs to study the ...

It ha been proved that the lattice Boltzmann Methods (LBMs) are very efficient for computational fluid dynamics purposes, and for capturing the dynamics of weak acoustic fluctuations. Especially, the multi-relaxation-time lattice Boltzmann method (MRT-LBM) appears as a very robust scheme with high precision. It is well-known that there exist several free relaxation parameters in the MRT-LBM. Al...

in this paper, fluid flow between two parallel flat plates that are partially filled with two-dimension porous media is investigated numerically using single relaxation time (srt) lattice boltzmann method (lbm) at pore scale. the considered obstacles are random, circular, rigid and granular with uniform diameters. single component and single-phase viscous newtonian fluid are considered as worki...

X-ray Microtomography (XMT) is a relatively new technology for measuring and characterising structures of materials at micron scales. It operates on the same principles as hospital CT scanners, but with much higher spatial resolution. Lattice Boltzmann Method (LBM) is a numerical technique for calculating flow distribution on a lattice grid – the same medium that XMT uses to digitally represent...

The link-wise artificial compressibility method (LW-ACM) is a recent formulation of the artificial compressibility method for solving the incompressible Navier– Stokes equations. Two implementations of the LW-ACM in three dimensions on CUDA enabled GPUs are described. The first one is a modified version of a stateof-the-art CUDA implementation of the lattice Boltzmann method (LBM), showing that...

The recently introduced inertial-range IR consistent Smagorinsky model and the classical Smagorinsky model are applied to the large-eddy simulation LES of decaying homogeneous isotropic turbulence based on the lattice Boltzmann method LBM , which is implemented using the 19-velocity D3Q19 lattice model. The objectives of this study are to examine the effectiveness of the LES-LBM technique for s...