The Enthalpy-Transforming-Based Lattice Boltzmann Model for Solid–Liquid Phase Change

2018 ◽  
Vol 140 (10) ◽  
Author(s):  
Yutao Huo ◽  
Zhonghao Rao

A new lattice Boltzmann (LB) model to solve the phase change problem, which is based on the enthalpy-transforming model has been developed in this paper. The problems of two-region phase change, natural convection of air, and phase change by convection are solved to verify the present LB model. In two-region phase change, the results of the present LB model agree well with that of analytical solution. The benchmark solutions are applied to evaluate the present LB model in natural convection of air and phase change material (PCM) as well. The results show that the present LB model is able to simulate the temperature distribution and capture the location of solid–liquid interface in the cavity accurately. Moreover, the present LB model is effective in computing owing to the fact that no iterations are necessary during the simulations.

Author(s):  
Yongchang Feng ◽  
Huixiong Li ◽  
Can Cheng

In this letter, a double multiple relaxation time (MRT) lattice Boltzmann method (LBM) based on double distribution lattice Boltzmann model is developed for numerical simulations of solid-liquid phase change. In contrast to previous lattice Boltzmann models, we solve the flow and temperature fields using the MRT-D2Q9 model and the MRT-D2Q5 model, respectively. The one-dimensional conduction melting and two-dimensional convection melting in a rectangular cavity for pure substance are investigated using the proposed model. Simulation results agree well with analytical solutions and scaling laws. In addition, temperature and liquid fraction fields suggest that natural convection has important influence on total melting process. We conclude by showing that the developed model is a promising tool to investigate solid-liquid phase change in complex media and geometries.


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