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

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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.

Original languageEnglish
Pages (from-to)94-106
Number of pages13
JournalPhysica A: Statistical Mechanics and its Applications
Volume438
DOIs
StatePublished - 17 Jul 2015

Keywords

  • Enthalpy-based method
  • Lattice Boltzmann model
  • Multiple-relaxation-time
  • Natural convection
  • Porous media
  • Solid-liquid phase change

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