A curvilinear lattice Boltzmann scheme for thermal flows

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.

Text

main - Accepted Manuscript

Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (10MB)

Text

1-s2.0-S0378475422002579-main - Version of Record

Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (2MB)

More information

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.

Keywords: Boussinesq approximation, Convective heat transfer, Curvilinear coordinates, Double-distribution method