A multiple-relaxation-time lattice Boltzmann model for convection heat transfer in porous media

By Qing Liu, Ya-Ling He, Qing Li, Wen-Quan Tao. 2013

143 citations recorded by the source corpus.

In this paper, a two-dimensional (2D) multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is developed for simulating convection heat transfer in porous media at the representative elementary volume scale. In the model, a MRT-LB equation is used to simulate the flow field, while another MRT-LB equation is employed to simulate the temperature field. The effect of the porous media is considered by introducing the porosity into the equilibrium moments, and adding a forcing term to the MRT-LB equation of the flow field in the moment space. The present MRT-LB model is validated by numerical simulations of several 2D convection problems in porous media. The numerical results are in good agreement with the well-documented data reported in the literature.

View Paper: https://www.semanticscholar.org/paper/5c9e89081c3b6be73cfe93605cfef4cfa5c7fe76

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Citations in the corpus

A review of phase change heat transfer in shape-stabilized phase change materials (ss-PCMs) based on porous supports for thermal energy storage (2021, background): “The transformation matrix N relates the moment space n and the velocity space g [127]: n = Ng (43)”
Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review (2018, methodology): “y used REV -scale LB model. It has received significant attention since its emergence in 2002 and has been applied in many practical applications. 3.1.3.2. REV-scale MRT-LB model. In 2014, Liu and He [68] proposed an REV-scale MRT-LB model for generalized non-Darcy equation. According to Refs. [68,1”
Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, methodology): “In the literature, it has been demonstrated [123, 140, 142-148] that the MRT collision model is superior over the BGK collision model in terms of numerical stability because the relaxation times in the MRT collision operator can be individually tuned to achieve “optimal” stability [122].”