Dapelo, Davide 
ORCID: 0000-0002-3442-6857, Simonis, Stephan, Krause, Mathias J and Bridgeman, John ORCID: 0000-0001-8348-5004
(2021)
Lattice-Boltzmann coupled models for advection-diffusion flow on a wide range of Peclet numbers.
JOURNAL OF COMPUTATIONAL SCIENCE, 51.
p. 101363.
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. The models are validated using two non-trivial benchmarks, which includes discontinuous initial conditions and the case Peg→∞ for the first time, where Peg is the grid Péclet number. The evaluation of Peg alongside Pe is discussed. Accuracy, stability and the order of convergence are assessed for a wide range of Péclet numbers. Recommendations are then given as to which model to select depending on the value Peg—in particular, it is shown that the coupled finite-difference/Lattice-Boltzmann provide stable solutions in the case Pe→∞, Peg→∞.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Advection-diffusion, Finite-difference, Lattice-Boltzmann, OpenLB |
| Divisions: | Faculty of Science and Engineering > School of Engineering |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 09 Jun 2022 08:40 |
| Last Modified: | 18 Jan 2023 21:00 |
| DOI: | 10.1016/j.jocs.2021.101363 |
| Open Access URL: | https://doi.org/10.1016/j.jocs.2021.101363 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3156106 |
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