A control volume finite element method for three-dimensional three-phase flows
A control volume finite element method for three-dimensional three-phase flows
复制标题
三维三相流的控制体有限元方法
DOI：
10.1002/fld.4805
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发表时间：
2020
影响因子：
1.8
通讯作者：
Xie Z
中科院分区：
文献类型：
--
作者：
Xie Z
针对具有界面张力的三维三相流，提出了一种基于自适应各向异性非结构网格的控制体有限元方法。数值框架由混合控制体和有限元组成，并采用一种新的P1DG-P2单元(单元间的线性不连续速度和单元间的二次连续压力)。界面捕捉采用基于压缩控制体积平流和二阶有限元的“流体体积”型方法。采用力平衡的连续面力模型计算非结构网格上的界面张力。采用界面张力系数分解法处理不同相间的界面张力配对问题。给出了基准试验的数值算例以及三维三相上升气泡和液滴碰撞的动力学。将计算结果与解析解和已发表的实验数据进行了比较，验证了该方法的有效性。
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‐P2elements (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.