A cut finite element method for a Stokes interface problem

作者：Han**o, Peter^*; Larson, Mats G.; Zahedi, Sara

来源：Applied Numerical Mathematics, 2014, 85: 90-114.

DOI：10.1016/j.apnum.2014.06.009

• Cut finite element method
• Nitsche's method
• Two-phase flow
• Discontinuous viscosity
• Surface tension
• Sharp interface method

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.

• 出版日期2014-11