Double multiple-relaxation-time lattice Boltzmann model for solid–liquid phase change with natural convection in porous media

Qing Liu and Ya-Ling He

Physica A: Statistical Mechanics and its Applications, 2015, vol. 438, issue C, 94-106

Abstract: In this paper, a double multiple-relaxation-time lattice Boltzmann model is developed for simulating transient solid–liquid phase change problems in porous media at the representative elementary volume scale. The model uses two different multiple-relaxation-time lattice Boltzmann equations, one for the flow field and the other for the temperature field with nonlinear latent heat source term. The model is based on the generalized non-Darcy formulation, and the solid–liquid interface is traced through the liquid fraction which is determined by the enthalpy-based method. The present model is validated by numerical simulations of conduction melting in a semi-infinite space, solidification in a semi-infinite corner, and convection melting in a square cavity filled with porous media. The numerical results demonstrate the efficiency and accuracy of the present model for simulating transient solid–liquid phase change problems in porous media.

Keywords: Lattice Boltzmann model; Multiple-relaxation-time; Solid–liquid phase change; Enthalpy-based method; Porous media; Natural convection (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:438:y:2015:i:c:p:94-106

DOI: 10.1016/j.physa.2015.06.018

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