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Lattice-Boltzmann coupled models for advection-diffusion flow on a wide range of Péclet numbers
Dapelo, Davide Simonis, S. Krause, J.J. Bridgeman, John
Dapelo, Davide
Simonis, S.
Krause, J.J.
Bridgeman, John
Publication Date
2021-04
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(c) 2021 The Authors. This is an Open Access article distributed under the Creative Commons CC-BY license (https://creativecommons.org/licenses/by/4.0/)
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openAccess
Accepted for publication
2021-03-30
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Abstract
Traditional Lattice-Boltzmann modelling of advection–diffusion flow is affected by numerical instability if the advective term becomes dominant over the diffusive (i.e., high-Péclet flow). To overcome the problem, two 3D one-way coupled models are proposed. In a traditional model, a Lattice-Boltzmann Navier–Stokes solver is coupled to a Lattice-Boltzmann advection–diffusion model. In a novel model, the Lattice-Boltzmann Navier–Stokes solver is coupled to an explicit finite-difference algorithm for advection–diffusion. The finite-difference algorithm also includes a novel approach to mitigate the numerical diffusivity connected with the upwind differentiation scheme.
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Published version
Citation
Dapelo D, Simonis S, Krause JJ et al (2021) Lattice-Boltzmann coupled models for advection-diffusion flow on a wide range of Péclet numbers. Journal of Computational Science. 51: 101363.
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Article