A cut finite element method for a Stokes interface problem

被引：171
|
作者：
Hansbo, Peter [1 ]
Larson, Mats G. [2 ]
Zahedi, Sara [3 ]
机构：
[1] Jonkoping Univ, Dept Mech Engn, SE-55111 Jonkoping, Sweden
[2] Umea Univ, Dept Math & Math Stat, SE-90187 Umea, Sweden
[3] Uppsala Univ, Dept Informat Technol, SE-75105 Uppsala, Sweden
来源：
APPLIED NUMERICAL MATHEMATICS | 2014年 / 85卷
关键词：
Cut finite element method; Nitsche's method; Two-phase flow; Discontinuous viscosity; Surface tension; Sharp interface method; SURFACE-TENSION; NITSCHE METHOD; PENALTY; SPACE;
D O I：
10.1016/j.apnum.2014.06.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a finite element method for the Stokes equations involving two immiscible incompressible fluids with different viscosities and with surface tension. The interface separating the two fluids does not need to align with the mesh. We propose a Nitsche formulation which allows for discontinuities along the interface with optimal a priori error estimates. A stabilization procedure is included which ensures that the method produces a well conditioned stiffness matrix independent of the location of the interface. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：90 / 114
页数：25
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