A control volume finite element method for three‐dimensional three‐phase flows,International Journal for Numerical Methods in Fluids

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A control volume finite element method for three‐dimensional three‐phase flows
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2020-01-17 , DOI: 10.1002/fld.4805
Zhihua Xie _{1,

2,

3} , Dimitrios Pavlidis ₂ , Pablo Salinas ₂ , Christopher C. Pain ₂ , Omar K. Matar ₃

Affiliation

A novel control volume finite element method with adaptive anisotropic unstructured meshes is presented for three‐dimensional three‐phase flows with interfacial tension. The numerical framework consists of a mixed control volume and finite element formulation with a new P1DG‐P2 elements (linear discontinuous velocity between elements and quadratic continuous pressure between elements). A “volume of fluid” type method is used for the interface capturing, which is based on compressive control volume advection and second‐order finite element methods. A force‐balanced continuum surface force model is employed for the interfacial tension on unstructured meshes. The interfacial tension coefficient decomposition method is also used to deal with interfacial tension pairings between different phases. Numerical examples of benchmark tests and the dynamics of three‐dimensional three‐phase rising bubble, and droplet impact are presented. The results are compared with the analytical solutions and previously published experimental data, demonstrating the capability of the present method.

中文翻译：

三维三相流控制体积有限元法

针对具有界面张力的三维三相流，提出了一种具有自适应各向异性非结构化网格的新型控制体积有限元方法。数值框架由混合控制体积和有限元公式组成，其中包含新的 P1DG-P2 元素（元素之间的线性不连续速度和元素之间的二次连续压力）。“流体体积”类型的方法用于界面捕获，该方法基于压缩控制体积对流和二阶有限元方法。非结构化网格上的界面张力采用力平衡的连续表面力模型。界面张力系数分解方法也用于处理不同相之间的界面张力配对。给出了基准测试的数值例子以及三维三相上升气泡和液滴撞击的动力学。结果与解析解和先前公布的实验数据进行了比较，证明了本方法的能力。

更新日期：2020-01-17

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