Multiple-relaxation-time lattice Boltzmann model for anisotropic liquid-solid phase change

被引：3

作者：

Xu, Xingchun ^{[1
]}

He, Yurong ^{[2
]}

Han, Jiecai ^{[1
]}

Zhu, Jiaqi ^{[1
,3
]}

机构：

[1] Harbin Inst Technol, Natl Key Lab Sci & Technol Adv Composites Special, Harbin 150001, Peoples R China

[2] Harbin Inst Technol, Sch Energy Sci & Engn, Harbin 150001, Peoples R China

[3] Minist Educ, Key Lab Micro Syst & Micro Struct Mfg, Harbin 150080, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 134卷

基金：

国家重点研发计划; 中国国家自然科学基金;

关键词：

Lattice Boltzmann method; Phase -field equation; Anisotropic; Solidification; DENDRITIC GROWTH; CRYSTAL-GROWTH; FIELD; SIMULATIONS; SCHEME;

D O I：

10.1016/j.aml.2022.108358

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An extended lattice Boltzmann model is proposed for the anisotropic solidification process based on the quantitative phase-field equation. To include the anisotropy, we derive an equivalent diffusion matrix and design an off-diagonal relaxation -time matrix to recover it within the framework of the lattice Boltzmann method. Different from the standard collision-streaming algorithm, a correction step after the streaming step is introduced, which improves the model's locality. Numerical tests are conducted for the equiaxed dendrite growth in both two and three dimensions. Results obtained by the present lattice Boltzmann model have a good agreement with analytical solution and numerical prediction in literature. Furthermore, the present model shows superiority in efficiency especially for the large-scale modeling in the parallel machines. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：9

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