基于Cahn-Hilliard相场方程的气体动理学格式  

Gas-kinetic Scheme Based on Cahn-Hilliard Phase-field Equation

作　　者：钟豪 朱炼华 包进 郭照立[1,3] ZHONG Hao;ZHU Lianhua;BAO Jin;GUO Zhaoli(State Key Laboratory of Coal Combustion,School of Energy and Power Engineering,Huazhong University of Science and Technology,Wuhan,Hubei 430074,China;Shanghai Suochen Information Technology Company Limited,Shanghai 201204,China;Institute of Interdisciplinary Research for Mathematics and Applied Science,Huazhong University of Science and Technology,Wuhan,Hubei 430074,China)

机构地区：[1]华中科技大学能源与动力工程学院煤燃烧国家重点实验室,湖北武汉430074 [2]上海索辰信息科技股份有限公司,上海201204 [3]华中科技大学数学与应用学科交叉创新研究院,湖北武汉430074

出　　处：《计算物理》2025年第2期171-181,共11页Chinese Journal of Computational Physics

基　　金：华中科技大学交叉研究支持计划(2023JCYJ002)资助项目。

摘　　要：在有限体积的框架下,构造基于Cahn-Hilliard相场方程的气体动理学格式,其界面通量由Chapman-Enskog一阶近似确定。进一步证明提出的模型可准确恢复至Cahn-Hilliard方程。通过若干算例对该模型进行测试,并与相应的格子玻尔兹曼方法进行对比。结果表明,该模型在界面捕捉方面具有较好的精度和数值稳定性。本文的研究拓展了气体动理学格式在相场理论的应用,并为两相流体系统的模拟提供了方案。The gas kinetic scheme based on Cahn-Hilliard phase field equation with interfacial fluxes determined by the Chapman-Enskog first-order approximation is constructed in the framework of finite volume.It is further demonstrated that the proposed model can be accurately recovered to Cahn-Hilliard equation.The method is tested through several cases and compared with the corresponding lattice Boltzmann method.The results show that the method in this paper has excellent accuracy and numerical stability for interface trapping.The study extends application of the gas-kinetic scheme to phase-field theory and provides a new solution for the simulation of two-phasefluid systems.

关 键 词：两相系统 相场模型 气体动理学格式 Chapman-Enskog展开 

分 类 号：O469[理学—凝聚态物理]