This paper focuses on the mathematical modelling and the numerical approximation of the flow of two immiscible incompressible fluids. The surface tension effects are taken into account and mixed boundary conditions are used. The weak formulation is introduced, discretized in time, and the finite element method is applied. The free surface motion is treated with the aid of the level set method. The numerical results are shown.
@article{702686,
title = {Numerical simulation of free-surface flows with surface tension},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2015},
pages = {207-214},
url = {http://dml.mathdoc.fr/item/702686}
}
Sváček, Petr. Numerical simulation of free-surface flows with surface tension, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2015), pp. 207-214. http://gdmltest.u-ga.fr/item/702686/