An anisotropic lattice Boltzmann - Phase field scheme for numerical simulations of dendritic growth with melt convection
An anisotropic lattice Boltzmann - Phase field scheme for numerical simulations of dendritic growth with melt convection
复制标题
各向异性晶格玻尔兹曼 - 用于熔体对流枝晶生长数值模拟的相场方案
DOI：
10.1016/j.ijheatmasstransfer.2018.12.095
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发表时间：
2019
影响因子：
5.2
通讯作者：
Han Yongsheng
中科院分区：
文献类型：
--
作者：
Sun Dongke;Xing Hui;Dong Xianglei;Han Yongsheng
提出了各向异性晶格玻尔兹曼相场方案来研究熔体对流存在下的枝晶生长。在这项工作中，格子玻尔兹曼方法被扩展到模拟传热和熔体对流的枝晶生长。它实现了基于晶格 Bhatnagar-Gross-Krook 方案的各向异性流弛豫步骤。定义了三组分布函数来描述熔体对流、传热和相变的演变。 D2Q9 晶格向量用于描述有序参数的变化，并结合相变期间传热的对流扩散方程。模型验证后，分别对传入流和自然对流的枝晶生长进行了数值研究。结果表明，该模型是研究对流枝晶生长的一种替代数值方法，效率相对较高，有助于理解凝固过程中的微观结构演化。
An anisotropic lattice Boltzman – phase field scheme is proposed to study dendritic growth in the presence of melt convection. In this work, the lattice Boltzmann method is extended to model dendritic growth with heat transfer and melt convection. It implements an anisotropic streaming-relaxation step based on the lattice Bhatnagar-Gross-Krook scheme. Three sets of distribution function are defined to describe the evolution of melt convection, heat transfer and phase transition. The D2Q9 lattice vectors are utilized to describe the advancement of ordering parameter, and coupled with a convective-diffusion equation for heat transfer during phase transition. After model validation, dendritic growth with incoming flows and natural convection are numerically investigated, respectively. The results show that the present model is an alternative numerical approach to study convective dendritic growth with relatively high efficiency, and it would like to facilitate the understanding of microstructure evolution in solidification.