Using as a benchmark the porous flow in a square array of solid or permeable cylindrical obstacles, we evaluate the numerical performance of the two-relaxation-time lattice Boltzmann method (TRT–LBM) and the linear finite element method (FEM). We analyze the bulk, boundary and interface properties of the Brinkman-based schemes in staircase discretization on the voxel-type grids typical of porous media simulations. The effect of flow regime, grid resolution, and TRT collision degree of freedom Λ is assessed. In coarse meshes, the TRT may outperform the FEM by properly selecting Λ. Further, FEM is more oscillatory, a defect virtually suppressed in TRT with an improved strategy IBF and implicit accommodation of interface/boundary layers.
Accepted:
Published online:
Goncalo Silva 1; Irina Ginzburg 1
@article{CRMECA_2015__343_10-11_545_0,
author = {Goncalo Silva and Irina Ginzburg},
title = {The permeability and quality of velocity field in a square array of solid and permeable cylindrical obstacles with the {TRT{\textendash}LBM} and {FEM} {Brinkman} schemes},
journal = {Comptes Rendus. M\'ecanique},
pages = {545--558},
publisher = {Elsevier},
volume = {343},
number = {10-11},
year = {2015},
doi = {10.1016/j.crme.2015.05.003},
language = {en},
}
TY - JOUR AU - Goncalo Silva AU - Irina Ginzburg TI - The permeability and quality of velocity field in a square array of solid and permeable cylindrical obstacles with the TRT–LBM and FEM Brinkman schemes JO - Comptes Rendus. Mécanique PY - 2015 SP - 545 EP - 558 VL - 343 IS - 10-11 PB - Elsevier DO - 10.1016/j.crme.2015.05.003 LA - en ID - CRMECA_2015__343_10-11_545_0 ER -
%0 Journal Article %A Goncalo Silva %A Irina Ginzburg %T The permeability and quality of velocity field in a square array of solid and permeable cylindrical obstacles with the TRT–LBM and FEM Brinkman schemes %J Comptes Rendus. Mécanique %D 2015 %P 545-558 %V 343 %N 10-11 %I Elsevier %R 10.1016/j.crme.2015.05.003 %G en %F CRMECA_2015__343_10-11_545_0
Goncalo Silva; Irina Ginzburg. The permeability and quality of velocity field in a square array of solid and permeable cylindrical obstacles with the TRT–LBM and FEM Brinkman schemes. Comptes Rendus. Mécanique, Lattice Boltzmann methods for solving problems in mechanics / Méthodes de Boltzmann sur réseau pour la résolution de problèmes de mécanique, Volume 343 (2015) no. 10-11, pp. 545-558. doi : 10.1016/j.crme.2015.05.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2015.05.003/
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