An overview of boundary implementation in lattice Boltzmann method for computational heat and mass transfer

Jahanshaloo, Leila; Sidik, Nor Azwadi Che; Fazeli, Alireza; Pesaran, H A Mahmoud

doi:10.1016/j.icheatmasstransfer.2016.08.014

Cited by 46 publications

(15 citation statements)

References 162 publications

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“…There are many different approaches to incorporate boundaries in the LBM. 41 In our model the particles are considered as sharp, arbitrarily shaped, moving walls during the streaming step of the LBM. For each velocity vector e i on the global grid that has liquid node (at x f where ϕ g 0:5) on one end and solid node (at x b where ϕ g > 0:5) on the other end, the exact position x w of the solid-liquid interface (ϕ g ¼ 0:5) is determined by linear interpolation.…”

Section: Boundary Treatment and Fluid Force Calculationmentioning

confidence: 99%

Phase-field lattice Boltzmann model for dendrites growing and moving in melt flow

2019

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The phase-field and lattice Boltzmann methods have been combined to simulate the growth of solid particles moving in melt flow. To handle mobile particles, an overlapping multigrid scheme was developed, in which each individual particle has its own moving grid, with local fields attached to it. Using this approach we were able to simulate simultaneous binary solidification, solute diffusion, melt flow, solid motion, the effect of gravity, and collision of the particles. The method has been applied for describing two possible modes of columnar to equiaxed transition in the Al-Ti system.npj Computational Materials (2019) 5:113 ; https://doi.

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Section: Boundary Treatment and Fluid Force Calculationmentioning

confidence: 99%

Phase-field lattice Boltzmann model for dendrites growing and moving in melt flow

2019

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“…Soon after, the LBM was directly derived from the Boltzmann equation by discretization in both time and phase space [10]. There are many publications that detail further developments of LBM such as the reduction of compressibility effects [11][12][13][14], the implementation of boundary conditions [15][16][17][18], turbulent flow simulations [19][20][21][22], energy and mass transport, multiphase flow [23][24][25][26], and in parallel computation using graphical processing unit (GPU) [27,28]. The potential for drastic speed up using GPU is a very attractive point for the large-eddy simulation of a large domain [29] with a huge number of grid points.…”

Section: Introductionmentioning

confidence: 99%

Simulation of stratified flows over a ridge using a lattice Boltzmann model

et al. 2018

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A three-dimensional thermal lattice Boltzmann model (TLBM) using multirelaxation time method was used to simulate stratified atmospheric flows over a ridge. The main objective was to study the efficacy of this method for turbulent flows in the atmospheric boundary layer, complex terrain flows in particular. The simulation results were compared with results obtained using a traditional finite difference method based on the Navier-Stokes equations and with previous laboratory results on stably stratified flows over an isolated ridge. The initial density profile is neutral stratification in the boundary layer, topped with a stable cap and stable stratification aloft. The TLBM simulations produced waves, rotors, and hydraulic jumps in the lee side of the ridge for stably stratified flows, depending on the governing stability parameters. The Smagorinsky turbulence parameterization produced typical turbulence spectra for the velocity components at the lee side of the ridge, and the turbulent flow characteristics of varied stratifications were also analyzed. The comparison of TLBM simulations with other numerical simulations and laboratory studies indicated that TLBM is a viable method for numerical modeling of stratified atmospheric flows. To our knowledge, this is the first TLBM simulation of stratified atmospheric flow over a ridge. The details of the TLBM, its implementation of complex boundaries and the subgrid turbulence parameterizations used in this study are also described in this article.

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“…The bounce-back boundary condition [57,58,61,62] is used here because the fluid is assumed to be reflected by the solid boundaries. In the bounce-back condition, after the collision step, the distribution functions are swapped symmetrically as follows:…”

Section: Lattice Boltzmann Methodsmentioning

confidence: 99%

Laboratory Investigation of Flow Paths in 3D Self-Affine Fractures with Lattice Boltzmann Simulations

Cherubini

Galindo‐Torres

et al. 2018

Energies

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Abstract:In this study, laboratory experiments and simulations have been conducted to investigate single water phase flow through self-affine rough fractures. It is the first time that 3D printing technology is proposed for the application of generating self-affine rough fractures. The experimental setup was designed to measure the water volume by dividing the discharging surface into five sections with equal distances under constant injection flow rates. Water flow through self-affine rough fractures was simulated numerically by using the Lattice Boltzmann method (LBM). An agreement between the experimental data and the numerical simulation results was achieved. The fractal dimension is positively correlated to fracture surface roughness and the fracture inclination represents the gravity force acting on the water flow. The influences of fracture inclinations, fractal dimensions, and mismatch wavelengths were studied and analyzed, with an emphasis on flow paths through a self-affine rough fracture. Different values of fractal dimensions, fracture inclinations, and mismatch wavelengths result in small changes of flow rates from five sections of discharging surface. However, the section of discharging surface with the largest flow rate remains constant. In addition, it is found that the gravity force can affect flow paths. Combined with the experimental data, the simulation results are used to explain the preferential flow paths through fracture rough surfaces from a new perspective. The results may enhance our understanding of fluid flow through fractures and provide a solid background for further research in the areas of energy exploration and production.

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An overview of boundary implementation in lattice Boltzmann method for computational heat and mass transfer

Cited by 46 publications

References 162 publications

Phase-field lattice Boltzmann model for dendrites growing and moving in melt flow

Phase-field lattice Boltzmann model for dendrites growing and moving in melt flow

Simulation of stratified flows over a ridge using a lattice Boltzmann model

Laboratory Investigation of Flow Paths in 3D Self-Affine Fractures with Lattice Boltzmann Simulations

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