基于相场的格子博尔兹曼法,用于在两相流中运输不溶性表面活性剂
Chengjie Zhan1,2,3, Hong Liang4, Zhenhua Chai1,2,3,5
1Huazhong University of Science and Technology, School of Mathematics and Statistics, Wuhan 430074, China.
Physical review. E
|October 21, 2025
概括
这项研究引入了一种新的相场模型和格子博尔兹曼法,用于模拟两相流中的不溶性表面活性物运输. 该模型准确地捕捉了流体动力学和表面活性剂的行为,在基准测试中表现良好.
科学领域:
- 计算流体动力学的流体动力学.
- 多相流体物理 多相流体物理
- 接口现象 接口现象
背景情况:
- 精确模拟表面活性物运输对于理解复杂的流体动力学至关重要.
- 现有的模型往往难以捕捉两相流中的界面现象和表面活性剂效应.
- 马兰戈尼效应和表面张力显著影响了界面上的流体行为.
研究的目的:
- 开发一种一般的二阶相场模型,用于在不压缩的双相流中进行不溶性表面活性物运输.
- 为解决拟议的模型,实施一个介视晶格的博尔兹曼法.
- 通过基准问题验证模型的准确性和性能.
主要方法:
- 用于接口捕获的第二阶局部艾伦-卡恩方程.
- 界面受限表面活性剂的一般标量运输方程.
- 一致且保守的纳维埃-斯托克斯方程,包括表面张力和马兰戈尼力.
- 一种适用于对流-扩散类型方程的美索斯科普晶格博尔兹曼法.
主要成果:
- 开发的格子博尔兹曼法正确地恢复了支配的表面活性物输送方程.
- 数字模拟表明,在两相流中,不溶性表面活性物运输的性能很好.
- 该模型准确地处理界面动力学,表面张力和马兰戈尼力.
结论:
- 拟议的相场模型和格子博尔兹曼法为模拟不溶性表面活性物运输提供了强大的框架.
- 这种方法增强了对复杂流体流中的界面现象的理解.
- 经过验证的方法为未来在相关领域的研究提供了可靠的工具.
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