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On application of the regularized lattice Boltzmann method for isothermal flows with non-vanishing Knudsen numbers

Jonnalagadda, A and Sharma, A and Agrawal, A (2023) On application of the regularized lattice Boltzmann method for isothermal flows with non-vanishing Knudsen numbers. In: Numerical Heat Transfer, Part B: Fundamentals .

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Official URL: https://doi.org/10.1080/10407790.2023.2220908


Despite the advances in microscale modelling capabilities, physically observed non-zero Knudsen number (Kn) effects still elude the lattice Boltzmann method (LBM). This article details various Regularized LBM (RLBM) strategies used to model microscale flows and presents a thorough analysis on their applicability for the force-driven Poiseuille flow problem. In particular, we compare the formulations of eight schemes: Projected RLBM (P-RLBM), standard and Galilean Invariant Filtered Collision RLBM, Kn-dependant P-RLBM, Recursively Regularized LBM (R-RLBM), Hybrid R-RLBM, Central-Moment RLBM, and Onsager-Regularized LBM. We demonstrate, at different Kn with discrete Maxwell’s diffuse kinetic wall boundary conditions, the numerical equivalence of the considered RLBM schemes for hard sphere molecules on the D2Q9 lattice. Thereafter, we include a Kn-dependant wall-modified mean-free-path and extend the characterization onto higher-order D2Q17, D2Q21 and Q2Q25-Zero-One-Three, Q2Q49-Zero-One-Two-Three lattices. The study indicates that RLBM schemes are Navier-Stokes solvers which fail to entirely capture all the non-equilibrium phenomenon of slip/transition regime flows.

Item Type: Journal Article
Publication: Numerical Heat Transfer, Part B: Fundamentals
Publisher: Taylor and Francis Ltd.
Additional Information: The copyright for this article belongs to the Taylor and Francis Ltd.
Keywords: Lattice Boltzmann method; regularized lattice Boltzmann method; slip flow regime; transition flow regime
Department/Centre: Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited: 15 Jul 2023 07:10
Last Modified: 15 Jul 2023 07:10
URI: https://eprints.iisc.ac.in/id/eprint/82476

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