2019
DOI: 10.1016/j.compfluid.2019.04.009
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Progress in the development of a new lattice Boltzmann method

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Cited by 18 publications
(7 citation statements)
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“…For this reason, the approach derived in this article can be seen as equivalent to solving the diffusion/advection/ adsorption equation but using a Lattice Boltzmann technique. The use of a Lattice Boltzmann approach allows us to embark the full power of this general method; combining a robust hydrodynamic framework compatible with statistical mechanics aspects while treating complex porous media through the use of a lattice approach [33][34][35]. In practice, the advection/diffusion part is solved using an already available Lattice Boltzmann method im-plemented with the two relaxation time scheme; this algorithm consists of performing a collision step followed by a propagation step for the solute molecules within the flowing fluid [36,37].…”
Section: Introductionmentioning
confidence: 99%
“…For this reason, the approach derived in this article can be seen as equivalent to solving the diffusion/advection/ adsorption equation but using a Lattice Boltzmann technique. The use of a Lattice Boltzmann approach allows us to embark the full power of this general method; combining a robust hydrodynamic framework compatible with statistical mechanics aspects while treating complex porous media through the use of a lattice approach [33][34][35]. In practice, the advection/diffusion part is solved using an already available Lattice Boltzmann method im-plemented with the two relaxation time scheme; this algorithm consists of performing a collision step followed by a propagation step for the solute molecules within the flowing fluid [36,37].…”
Section: Introductionmentioning
confidence: 99%
“…A flexible coupled-level-set and volume of fluid (flexCLV) method [36], Lattice Boltzmann method (LBM) [37,38]. The coupled LBM [39] was also implemented for the accurate prediction of complex problems.…”
Section: Images Of the (A C) Manifold Mchs And (B D) Permeable Membrane Mchsmentioning
confidence: 99%
“…The basic LBM-BGK(SRT) approximation is valid for relative low Mach numbers (Ma < 0.3) to be within the incompressible limit, but the model has evolved to be applicable to compressible flow and enhance the Mach number limit, some relevant modifications are called the regularized model or the entropic compressible LBM, a review of the progress in the development of the LBM for a high Mach number can be found in [104]. The Boltzmann equation has no limit for Kn and, for this reason, the LBM can be applied to study microfluidics problems.…”
Section: Abbreviationsmentioning
confidence: 99%