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A semi-implicit and unconditionally stable approximation of the surface tension in two-phase fluids

Title
A semi-implicit and unconditionally stable approximation of the surface tension in two-phase fluids
Authors
Lee, ByungjoonYoon, GangjoonMin, Chohong
Ewha Authors
민조홍
SCOPUS Author ID
민조홍scopus
Issue Date
2019
Journal Title
JOURNAL OF COMPUTATIONAL PHYSICS
ISSN
0021-9991JCR Link

1090-2716JCR Link
Citation
JOURNAL OF COMPUTATIONAL PHYSICS vol. 397
Keywords
Surface tensionNavier-Stokes equationTwo-phase flowUnconditionally stable methodEnergy stability
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Indexed
SCI; SCIE; SCOPUS WOS
Document Type
Article
Abstract
We focus on the energy conservation of two-phase fluids, where the change in kinetic energy is balanced by the gravitational potential and the surface energy related to surface tension. We introduce an unconditionally stable approximation in the sense that the total energy does not increase with any time step. An analysis is presented to prove the unconditional stability property of the scheme, and numerical results are given to confirming the analysis. (C) 2019 Elsevier Inc. All rights reserved.
DOI
10.1016/j.jcp.2019.07.028
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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