内容摘要

    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 faces 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.