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A curvilinear lattice Boltzmann scheme for thermal flows

A curvilinear lattice Boltzmann scheme for thermal flows
A curvilinear lattice Boltzmann scheme for thermal flows
Lattice Boltzmann schemes are known for their efficiency and low dissipation properties. However, the standard lattice Boltzmann method (LBM) is limited to Cartesian grids, and this approach can be troublesome when approximating thermal flows over curved walls. The present work proposes to solve the two-dimensional lattice Boltzmann equation under curvilinear coordinate transformation to simulate thermal flows with body-fitted grids. Several test cases are discussed, and the results are extensively compared with a very favourable outcome to the available numerical and experimental data, confirming the importance of the implemented methodology. Natural convection in a square cavity and a wavy cavity, as well as flow in a concentric cylindrical annulus are used for validation. Forced convection over a heated two-dimensional cylinder is also included.
Boussinesq approximation, Convective heat transfer, Curvilinear coordinates, Double-distribution method
0378-4754
405-420
Reyes Barraza, Juan
5d754742-de9f-47e5-a5f1-10327f04d437
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Reyes Barraza, Juan
5d754742-de9f-47e5-a5f1-10327f04d437
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314

Reyes Barraza, Juan and Deiterding, Ralf (2022) A curvilinear lattice Boltzmann scheme for thermal flows. Mathematics and Computers in Simulation, 202, 405-420. (doi:10.1016/j.matcom.2022.06.002).

Record type: Article

Abstract

Lattice Boltzmann schemes are known for their efficiency and low dissipation properties. However, the standard lattice Boltzmann method (LBM) is limited to Cartesian grids, and this approach can be troublesome when approximating thermal flows over curved walls. The present work proposes to solve the two-dimensional lattice Boltzmann equation under curvilinear coordinate transformation to simulate thermal flows with body-fitted grids. Several test cases are discussed, and the results are extensively compared with a very favourable outcome to the available numerical and experimental data, confirming the importance of the implemented methodology. Natural convection in a square cavity and a wavy cavity, as well as flow in a concentric cylindrical annulus are used for validation. Forced convection over a heated two-dimensional cylinder is also included.

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Accepted/In Press date: 3 June 2022
e-pub ahead of print date: 27 June 2022
Published date: 1 December 2022
Additional Information: Funding Information: The authors gratefully acknowledge the support of CONACYT (Consejo Nacional de Ciencia y Tecnología), Mexico and the use of the IRIDIS High Performance Computing Facility, and associated support services at the University of Southampton, in the completion of this work. Publisher Copyright: © 2022 The Author(s)
Keywords: Boussinesq approximation, Convective heat transfer, Curvilinear coordinates, Double-distribution method

Identifiers

Local EPrints ID: 458030
URI: http://eprints.soton.ac.uk/id/eprint/458030
ISSN: 0378-4754
PURE UUID: 05121055-9e5b-43dc-9eda-d5145a57366e
ORCID for Ralf Deiterding: ORCID iD orcid.org/0000-0003-4776-8183

Catalogue record

Date deposited: 27 Jun 2022 16:38
Last modified: 19 Jul 2022 01:52

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Contributors

Author: Juan Reyes Barraza
Author: Ralf Deiterding ORCID iD

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