@Article{IJNAM-17-613,
author = {Agnese , Marco and Nürnberg , Robert},
title = {Fitted Front Tracking Methods for Two-Phase Incompressible Navier–Stokes Flow: Eulerian and ALE Finite Element Discretizations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2020},
volume = {17},
number = {5},
pages = {613--642},
abstract = {<p style="text-align: justify;">We investigate novel fitted finite element approximations for two-phase Navier–Stokes
flow. In particular, we consider both Eulerian and Arbitrary Lagrangian–Eulerian (ALE) finite
element formulations. The moving interface is approximated with the help of parametric piecewise
linear finite element functions. The bulk mesh is fitted to the interface approximation, so that
standard bulk finite element spaces can be used throughout. The meshes describing the discrete
interface in general do not deteriorate in time, which means that in numerical simulations a
smoothing or a remeshing of the interface mesh is not necessary. We present several numerical
experiments, including convergence experiments and benchmark computations, for the introduced
numerical methods, which demonstrate the accuracy and robustness of the proposed algorithms.
We also compare the accuracy and efficiency of the Eulerian and ALE formulations.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/17872.html}
}