A CutFEM method for two-phase flow problems
Abstract
In this article, we present a cut finite element method for two-phase Navier-Stokes flows. The main feature of the method is the formulation of a unified continuous interior penalty stabilisation approach for, on the one hand, stabilising advection and the pressure-velocity coupling and, on the other hand, stabilising the cut region. The accuracy of the algorithm is enhanced by the development of extended fictitious domains to guarantee a well defined velocity from previous time steps in the current geometry. Finally, the robustness of the moving-interface algorithm is further improved by the introduction of a curvature smoothing technique that reduces spurious velocities. The algorithm is shown to perform remarkably well for low capillary number flows, and is a first step towards flexible and robust CutFEM algorithms for the simulation of microfluidic devices.
Keywords
Cite
@article{arxiv.1806.10156,
title = {A CutFEM method for two-phase flow problems},
author = {Susanne Claus and Pierre Kerfriden},
journal= {arXiv preprint arXiv:1806.10156},
year = {2019}
}