Improved three-dimensional thermal multiphase lattice Boltzmann model for liquid-vapor phase change
Li, Qing, Yu, Y, Luo, Kai H
Abstract
Modeling liquid-vapor phase change using the lattice Boltzmann (LB) method has attracted significant \nattention in recent years. In this paper, we propose an improved three-dimensional thermal multiphase LB \nmodel for simulating liquid-vapor phase change. The proposed model has the following features. First, it is \nstill within the framework of the thermal LB method using a temperature distribution function and therefore \nretains the fundamental advantages of the thermal LB method. Second, in the existing thermal LB models for \nliquid-vapor phase change, the finite-difference computations of the gradient terms ∇ · u and ∇T usually require \nspecial treatment at boundary nodes, while in the proposed thermal LB model these two terms are calculated \nlocally. Moreover, in some of the existing thermal LB models, the error term ∂t0 (T u) is eliminated by adding \nlocal correction terms to the collision process in the moment space, which causes these thermal LB models \nto be limited to the D2Q9 lattice in two dimensions and the D3Q15 or D3Q19 lattice in three dimensions. \nConversely, the proposed model does not suffer from such an error term and therefore the thermal LB equation \ncan be constructed on the D3Q7 lattice, which simplifies the model and improves the computational efficiency. \nNumerical simulations are carried out to validate the accuracy and efficiency of the proposed thermal multiphase \nLB model for simulating liquid-vapor phase change.