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November 2007 Finite element schemes based on energy-stable approximation for two-fluid flow problems with surface tension
M. TABATA
Hokkaido Math. J. 36(4): 875-890 (November 2007). DOI: 10.14492/hokmj/1272848038

Abstract

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.

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M. TABATA. "Finite element schemes based on energy-stable approximation for two-fluid flow problems with surface tension." Hokkaido Math. J. 36 (4) 875 - 890, November 2007. https://doi.org/10.14492/hokmj/1272848038

Information

Published: November 2007
First available in Project Euclid: 3 May 2010

zbMATH: 1134.76032
MathSciNet: MR2378296
Digital Object Identifier: 10.14492/hokmj/1272848038

Subjects:
Primary: 76D45
Secondary: 65M12, 76M10

Rights: Copyright © 2007 Hokkaido University, Department of Mathematics

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Vol.36 • No. 4 • November 2007
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