Abstract In this work, two different approaches to treat boundary conditions in a lattice Boltzmann method (LBM) for the wave equation are presented. We interpret as governing of displacement field solid under simplified deformation assumptions, but algorithms not limited interpretation. A feature both is that does need conform with discretization, i.e., regular lattice. This allows larger flex...

A systematic analysis on the use of the lattice Boltzmann method (LBM) for predicting the permeability of packed beds is presented. A filtration rig is used to obtain permeability measurements of beds of glass beads, sand and crushed minerals. Subsequently, X-ray microtomography is employed to image bed samples for use as input to LBM calculations. Uncertainties in accuracy and reliability of p...

We present Sailfish, an open source fluid simulation package implementing the lattice Boltzmann method (LBM) on modern Graphics Processing Units (GPUs) using CUDA/OpenCL. We take a novel approach to GPU code implementation and use run-time code generation techniques and a high level programming language (Python) to achieve state of the art performance, while allowing easy experimentation with d...

Over the last decades, the development of high dimensional large-scale imaging devices increases the demand of fast and accurate image processing techniques. Due to its intrinsic advantages which allows to handle complex shapes and topological changes, the level set method (LSM) is an promising technique but is computational expensive. As a fast alternative approach for solving the level set eq...

Effect of density variations on mass conservation properties is widely recognized in the lattice Boltzmann method (LBM), thus non-conservative form scalar transport equation was commonly adopted within framework hybrid LBM. Focusing compressible LBM, and its effect energy are studied this paper. Starting from analysis law recovered by consistency between conservative formulations based various ...

This work presents concepts and algorithms for the simulation of dynamic fractures with a Lattice Boltzmann method (LBM) linear elastic solids. LBM has been presented previously solves wave equation, which is interpreted as governing equation antiplane shear deformation. Besides steady growth crack at prescribed velocity, fracture criterion based on stress intensity factors (SIF) implemented. f...

The mixed convection heat transfer and fluid flow behaviors in a lid– driven square cavity filled with high Prandtl number fluids at low Reynolds number have been studied using Thermal Lattice Boltzmann Method (TLBM). The LBM has built up on the D2Q9 model called the Lattice-BGK (Bhatnagar–Gross–Krook) model. The Lattice Boltzmann momentum and energy equations are considered simultaneously to s...

We introduce a finite-difference method to simulate pore scale steady-state creeping fluid flow in porous media. First, a geometrical approximation is invoked to describe the interstitial space of grid-based images of porous media. Subsequently, a generalized Laplace equation is derived and solved to calculate fluid pressure and velocity distributions in the interstitial space domain. We use a ...

Permeability of porous media in subsurface environments is subject to potentially large uncertainties due to the heterogeneity of natural systems. In this study, a first-order reliability method (FORM) is combined with a lattice Boltzmann method (LBM) to estimate the permeability of randomly generated porous media. The proposed procedure provides an increased ease of addressing complex pore str...

We present a physically-based flow simulation which supports complex boundary conditions running on the graphics processing unit (GPU). We employ the Lattice Boltzmann Method (LBM), a relatively new discrete-space discrete-time method, for computing the flow field. To handle complex, moving and deformable boundaries, we propose a generic voxelization algorithm of the boundaries using depth peel...