For two-fluid flow problems with surface tension we present finite element schemes based on energy-stable approximation. In the case of no surface tension, those schemes are unconditionally stable in the energy-sense. When there exists surface tension, they are proved to be stable if a quantity remains bounded in the computation. Some numerical results of rising bubble problems show the robustness and applicability of these schemes.
Publié le : 2007-11-15
Classification:
finite element method,
two-fluid flow problems,
energy-stability,
Navier-Stokes equations,
surface tension,
76D45,
65M12,
76M10
@article{1272848038,
author = {TABATA, M.},
title = {Finite element schemes based on energy-stable approximation for two-fluid flow problems with surface tension},
journal = {Hokkaido Math. J.},
volume = {36},
number = {4},
year = {2007},
pages = { 875-890},
language = {en},
url = {http://dml.mathdoc.fr/item/1272848038}
}
TABATA, M. Finite element schemes based on energy-stable approximation for two-fluid flow problems with surface tension. Hokkaido Math. J., Tome 36 (2007) no. 4, pp. 875-890. http://gdmltest.u-ga.fr/item/1272848038/