A curvilinear lattice Boltzmann scheme for thermal flows

J.A. Reyes Barraza and R. Deiterding

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 202, issue C, 405-420

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.

Keywords: Convective heat transfer; Curvilinear coordinates; Double-distribution method; Boussinesq approximation (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:202:y:2022:i:c:p:405-420

DOI: 10.1016/j.matcom.2022.06.002

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