An evaluation of lattice Boltzmann schemes for porous medium flow simulation

By Chong Pan, Li-Shi Luo, Cass T. Miller. 2006

768 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/0985c18d22e5be27e565dc548e331d63bd183364

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In Computational Mechanics

In Electrical and Electronic Engineering

Citations in the corpus

Analytical Predictions and Lattice Boltzmann Simulations of Intrinsic Permeability for Mass Fractal Porous Media (2009, background): “Th e BGK model is known to have limitations (Pan et al., 2006), but careful application gives adequate results in many applications.”
LES of turbulent square jet flow using an MRT lattice Boltzmann model (2006, neutral): “In the D3Q19 MRT-LBE model [24], the 19 discrete velocities are ea ¼ ð0; 0; 0Þ; a ¼ 0; ð 1; 0; 0Þ; ð0; 1; 0Þ; ð0; 0; 1Þ; a ¼ 1–6; ð 1; 1; 0Þ; ð 1; 0; 1Þ; ð0; 1; 1Þ; a ¼ 7–18.”
Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review (2018, methodology): “ooks and reviews [7,83,85,87,91,9 6 ]. In what follows, the bounce-back scheme and the non-equilibrium extrapolation scheme are briefly summarized. 2.1.4.1. Bounce-back scheme. The bounce-back scheme [22, 23, 24, 25, 26, 27, 28] is a simple and straightforward way to impose no-slip boundary conditio”
Versatile and efficient pore network extraction method using marker-based watershed segmentation. (2017, positive): “It is now technically possible to use these images as a computational mesh and perform simulations of flow or diffusion directly inside the pore structure, often referred to as direct numerical simulation (DNS) [17,18].”
Consistent initial conditions for lattice Boltzmann simulations (2006, background): “In the presence of solid boundaries, sq affects the exact locations where the noslip boundary conditions are satisfied [6–9].”
Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, methodology): “In the literature, it has been demonstrated [123, 140, 142-148] that the MRT collision model is superior over the BGK collision model in terms of numerical stability because the relaxation times in the MRT collision operator can be individually tuned to achieve “optimal” stability [122].”
On the dynamics and kinematics of two‐fluid‐phase flow in porous media (2015, methodology): “The model expands upon older LBM formulations [d’Humi eres et al., 2002; Pan et al., 2006; Porter et al., 2009].”
Assessment of the two relaxation time Lattice‐Boltzmann scheme to simulate Stokes flow in porous media (2012, methodology): “…the MRT and TRT schemes were tested on synthetic model structures like fiber materials [Ginzburg and d’Humières, 2003], body-centered cubic arrays of spheres and random-sized sphere packings [Pan et al., 2006] and for several other regular structures using the TRT model [Ginzburg et al., 2008b].”