An Arbitrary Lagrangian Eulerian Method for Three-Phase Flows with Triple Junction Points

报告题目: An Arbitrary Lagrangian Eulerian Method for Three-Phase Flows with Triple Junction Points
报告人：Dr. Li Jie（英国剑桥大学）
报告时间：2013年3月14日（星期四）下午4点
报告地点：力学一楼239会议室

Abstract: We present an ALE (Arbitrary Lagrangian Eulerian) moving mesh method suitable for solving two-dimensional and axisymmetric three-liquid flow problems, including the interaction of the three liquids at triple junction points. This method employs a body-fitted unstructured mesh where the interfaces  between liquids are lines of the mesh system, and the triple junction points (if exist) are mesh nodes.  To enhance the accuracy and the efficiency of the method, the mesh is constantly adapted to the evolution of the interfaces by refining and coarsening the mesh locally.  As a result, complicated dynamic boundary conditions on interfaces, in particular, the triple points are incorporated naturally and accurately in a Finite-Element formulation based on Taylor-Hood element. The resulting non-linear system of mass and momentum conservation is then solved by  an Uzawa method. The method is used to investigate a rising liquid drop in a reference liquid with a bubble attached to it.