A subspace projection method for the implementation of interface conditions in a single-drop flow problem
A subspace projection method for the implementation of interface conditions in a single-drop flow problem
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DOI：
10.1016/j.jcp.2013.06.024
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发表时间：
2013-11
期刊：
影响因子：
--
通讯作者：
K. Bäumler;E. Bänsch
中科院分区：
文献类型：
--
作者：
K. Bäumler;E. Bänsch
我们提出了一种网格移动方法在有限元上下文中，其中的界面条件的两相流问题是方便地包括在适当选择的子空间的一般试验和testfunction空间。弱制定的两相流问题，包括物种运输的推导，其中的问题特定的功能空间被替换为适当的预测标准的功能空间上操作。的变分制剂的有限元方法的转移是直接的，结果在一组方程的两个流体相。这种子空间投影方法适用于多种界面条件的多相流问题。该方法被验证为单滴流问题，包括物种转移。此外，一个应用程序的模拟停滞帽。
We present a mesh moving method within a finite element context, where the interface conditions of a two-phase flow problem are conveniently included in suitable chosen subspaces of the general trial and testfunction spaces. A weak formulation of the two-phase flow problem including species transport is derived, where the problem specific function spaces are replaced by appropriate projections operating on standard function spaces. The transfer of the variational formulation to a finite element method is straightforward and results in one set of equations for both fluidic phases. This subspace projection method is applicable to a wide range of interfacial conditions for multiphase flow problems. The method is validated for single-drop flow problems including species transfer. Furthermore, an application to the simulation of stagnant caps is presented.