Fei, L;
Luo, KH;
(2018)
Cascaded lattice Boltzmann method for thermal flows on standard lattices.
International Journal of Thermal Sciences
, 132
pp. 368-377.
10.1016/j.ijthermalsci.2018.06.017.
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Abstract
In this paper, a thermal cascaded lattice Boltzmann method (TCLBM) is developed in combination with the double-distribution-function (DDF) approach on the standard D2Q9 lattice. A density distribution function relaxed by the cascaded scheme based on central moments is employed to solve the flow field, and a total energy distribution function relaxed by the BGK scheme is used to solve the temperature field. The two distribution functions are coupled naturally to provide a new TCLBM. In this method, the viscous heat dissipation and compression work are taken into account, the Prandtl number and specific-heat ratio are adjustable, and the external force is considered directly without the Boussinesq assumption. The TCLBM is validated by numerical experiments of the thermal Couette flow, low-Mach number shock tube problem, Rayleigh-Bénard convection, and natural convection in a square cavity with a large temperature difference. The simulation results agree well with the analytical solutions and/or results given by previous researchers.
| Type: | Article |
|---|---|
| Title: | Cascaded lattice Boltzmann method for thermal flows on standard lattices |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.ijthermalsci.2018.06.017 |
| Publisher version: | https://doi.org/10.1016/j.ijthermalsci.2018.06.017 |
| Language: | English |
| Additional information: | © 2018 The Authors. Published by Elsevier Masson SAS. This is an open access article under the CC BY license (http://creativecommons.org/licenses/BY/4.0/). |
| Keywords: | Lattice Boltzmann method, Cascaded, Thermal flows |
| UCL classification: | UCL 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/10052689 |
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