A Finite Element Method for Two-Phase Flow with Material Viscous Interface
A Finite Element Method for Two-Phase Flow with Material Viscous Interface
复制标题
具有材料粘性界面的两相流有限元法
DOI：
10.1515/cmam-2021-0185
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发表时间：
2021-06
影响因子：
1.3
通讯作者：
M. Olshanskii;A. Quaini;Qi Sun
中科院分区：
文献类型：
--
作者：
M. Olshanskii;A. Quaini;Qi Sun
摘要本文研究了含粘性界面的两相流模型及其有限元数值求解方法。块体和表面介质之间的相互作用的特点是没有渗透和滑动摩擦界面条件。系统被证明是耗散的，模型平稳问题被证明是适定的。本文所用的有限元方法属于一类非拟合离散。当模型和离散化参数变化的方法的性能进行评估。此外，迭代程序的基础上分裂成散装和表面的问题系统的介绍和研究数值。
Abstract This paper studies a model of two-phase flow with an immersed material viscous interface and a finite element method for the numerical solution of the resulting system of PDEs. The interaction between the bulk and surface media is characterized by no-penetration and slip with friction interface conditions. The system is shown to be dissipative, and a model stationary problem is proved to be well-posed. The finite element method applied in this paper belongs to a family of unfitted discretizations. The performance of the method when model and discretization parameters vary is assessed. Moreover, an iterative procedure based on the splitting of the system into bulk and surface problems is introduced and studied numerically.