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

TL;DR

This paper introduces a double multiple-relaxation-time lattice Boltzmann model to efficiently simulate transient solid-liquid phase change with natural convection in porous media, validated through various benchmark problems.

Contribution

It develops a novel double MRT lattice Boltzmann model that accurately captures phase change and natural convection in porous media at the REV scale.

Findings

Model accurately simulates conduction melting and solidification.

Demonstrates efficiency and stability in complex phase change problems.

Validated against benchmark scenarios with good agreement.

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 phase change interface is traced through the liquid fraction which is determined by the enthalpy method. The 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.