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一种精确的含可溶性表面活性剂两相流动相场方法

陈黎明 张良奇 王小双 肖姚 曾忠

陈黎明, 张良奇, 王小双, 肖姚, 曾忠. 一种精确的含可溶性表面活性剂两相流动相场方法[J]. 应用数学和力学, 2024, 45(12): 1455-1472. doi: 10.21656/1000-0887.450027
引用本文: 陈黎明, 张良奇, 王小双, 肖姚, 曾忠. 一种精确的含可溶性表面活性剂两相流动相场方法[J]. 应用数学和力学, 2024, 45(12): 1455-1472. doi: 10.21656/1000-0887.450027
CHEN Liming, ZHANG Liangqi, WANG Xiaoshuang, XIAO Yao, ZENG Zong. An Accurate Phase Field Method for 2-Phase Flow With Soluble Surfactants[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1455-1472. doi: 10.21656/1000-0887.450027
Citation: CHEN Liming, ZHANG Liangqi, WANG Xiaoshuang, XIAO Yao, ZENG Zong. An Accurate Phase Field Method for 2-Phase Flow With Soluble Surfactants[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1455-1472. doi: 10.21656/1000-0887.450027

一种精确的含可溶性表面活性剂两相流动相场方法

doi: 10.21656/1000-0887.450027
基金项目: 

国家自然科学基金(12102071;12172070);重庆市博士直通车项目(CSTB2022BSXM-JCX0086)

详细信息
    作者简介:

    陈黎明(1999—),男,硕士生(E-mail: chenliming0905@163.com);张良奇(1985—),男,研究员,博士生导师(通讯作者. E-mail: zhangliangqi@cqu.edu.cn).

    通讯作者:

    陈黎明(1999—),男,硕士生(E-mail: chenliming0905@163.com);张良奇(1985—),男,研究员,博士生导师(通讯作者. E-mail: zhangliangqi@cqu.edu.cn).

    陈黎明(1999—),男,硕士生(E-mail: chenliming0905@163.com);张良奇(1985—),男,研究员,博士生导师(通讯作者. E-mail: zhangliangqi@cqu.edu.cn).

  • 中图分类号: O359

An Accurate Phase Field Method for 2-Phase Flow With Soluble Surfactants

Funds: 

The National Science Foundation of China(12102071;12172070)

  • 摘要: 基于相场理论,该文提出了一种精确的考虑可溶性表面活性剂作用的两相流相场方法.为保证相界面处动量输运的守恒性,引入一致性的质量通量以考虑相变量扩散对质量守恒的影响,应用有限体积方法离散守恒形式的控制方程;选择五阶WENO格式处理控制方程的对流项,改善界面处理的精度和稳定性.此外,还构造了多组二维差分模板以进一步改善表面张力项中的梯度离散,并证实了对应格子Boltzmann D2Q9模型的模板能够显著降低伪势速度,改善表面活性剂浓度的计算精度.通过对静态液滴、双液滴融合、大密度比气泡上升以及剪切流中的单液滴变形与破裂等问题进行数值研究,充分验证了所提出的两相流相场方法的精度、守恒性与鲁棒性.
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出版历程
  • 收稿日期:  2024-02-02
  • 修回日期:  2024-03-24
  • 网络出版日期:  2024-12-27

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