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Cascaded lattice Boltzmann method for incompressible thermal flows with heat sources and general thermal boundary conditions

Fei, L; Luo, KH; (2018) Cascaded lattice Boltzmann method for incompressible thermal flows with heat sources and general thermal boundary conditions. Computers and Fluids , 165 pp. 89-95. 10.1016/j.compfluid.2018.01.020. Green open access

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Abstract

Cascaded or central-moment-based lattice Boltzmann method (CLBM) is a relatively recent development in the LBM community, which has better numerical stability and naturally achieves better Galilean invariance for a specified lattice compared with the classical single-relation-time (SRT) LBM. Recently, CLBM has been extended to simulate thermal flows based on the double-distribution-function (DDF) approach [L. Fei et al., Int. J. Heat Mass Transfer 120, 624 (2018)]. In this work, CLBM is further extended to simulate thermal flows involving complex thermal boundary conditions and/or a heat source. Particularly, a discrete source term in the central-moment space is proposed to include a heat source, and a general bounce-back scheme is employed to implement thermal boundary conditions. The numerical results for several canonical problems are in good agreement with the analytical solutions and/or numerical results in the literature, which verifies the present CLBM implementation for thermal flows.

Type: Article
Title: Cascaded lattice Boltzmann method for incompressible thermal flows with heat sources and general thermal boundary conditions
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.compfluid.2018.01.020
Publisher version: http://doi.org/10.1016/j.compfluid.2018.01.020
Language: English
Additional information: Copyright © 2018 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license. (http://creativecommons.org/licenses/by/4.0/)
Keywords: CLBM, Thermal flows, Heat sources, Boundary conditions
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10043940
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