一种精确的含可溶性表面活性剂两相流动相场方法
An Accurate Phase Field Method for 2-Phase Flow With Soluble Surfactants
陈黎明 1张良奇 1王小双 2肖姚 1曾忠1
作者信息
- 1. 重庆大学航空航天学院,重庆 400044
- 2. 重庆大学航空航天学院,重庆 400044;沪渝人工智能研究院,重庆 401332
- 折叠
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.
Abstract
An accurate phase field method for 2-phase flow with soluble surfactants was developed based on the phase field theory.The key point of this method was the utilization of consistent and conservative mass flux to ensure the conservation of momentum transport across the interface.The finite-volume method was used to discretize the governing equations in their conservative form.The 5th-order WENO scheme was chosen to effec-tively handle the convective terms,aimed to enhance accuracy and robustness in addressing steep variations in the interfacial region.Furthermore,various 2D difference templates were designed to optimize gradient discreti-zation in the surface tension term.Particularly,with the template corresponding to the lattice Boltzmann D2Q9 model,a notable reduction of the spurious velocity and a significant improvement of the accuracy of surfactant concentration prediction were achieved.Various examples such as static droplets,fusion of 2 droplets,bubble rise with a large density ratio,deformation and breakage of individual droplets in shear flow demonstrate the accuracy,conservative properties,and robustness of the proposed method.
关键词
两相流/相场方法/可溶性表面活性剂/连续表面力模型Key words
2-phase flow/phase field method/soluble surfactant/continuous surface force model引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据