The thermal lattice Boltzmann equation (TLBE) with multiple-relaxation-times (MRT) collision model is used to simulate the steady thermal con- vective ows in the two-dimensional square cavity with differentially heated vertical walls at high Rayleigh numbers. The MRT-TLBE consists of two sets of distribution functions, i.e., a D2Q9 model for the mass-momentum equations and a D2Q5 model for the temperature equation. The dimension- less ow parameters are the following: the Prandtl number Pr = 0:71 and the Rayleigh number Ra = 106, 107, and 108. The D2Q9+D2Q5 MRT-TLBE is shown to be second-order accurate and to be capable of yielding results of benchmark quality, including various Nusselt numbers and local hydrody- namic intensities. The results obtained by using the MRT-TLBE agree well with existing benchmark data obtained by other methods.

Lattice-Boltzmann simulations of the thermally driven 2D square cavity at high Rayleigh numbers / Dario, Contrino; Pierre, Lallemand; Asinari, Pietro; Li Shi, Luo. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - 275:(2014), pp. 257-272. [10.1016/j.jcp.2014.06.047]

Lattice-Boltzmann simulations of the thermally driven 2D square cavity at high Rayleigh numbers

ASINARI, PIETRO;
2014

Abstract

The thermal lattice Boltzmann equation (TLBE) with multiple-relaxation-times (MRT) collision model is used to simulate the steady thermal con- vective ows in the two-dimensional square cavity with differentially heated vertical walls at high Rayleigh numbers. The MRT-TLBE consists of two sets of distribution functions, i.e., a D2Q9 model for the mass-momentum equations and a D2Q5 model for the temperature equation. The dimension- less ow parameters are the following: the Prandtl number Pr = 0:71 and the Rayleigh number Ra = 106, 107, and 108. The D2Q9+D2Q5 MRT-TLBE is shown to be second-order accurate and to be capable of yielding results of benchmark quality, including various Nusselt numbers and local hydrody- namic intensities. The results obtained by using the MRT-TLBE agree well with existing benchmark data obtained by other methods.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2551142
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