@article{a539440b71354baa9eba9ff1c2c48360,
title = "A semi-implicit and unconditionally stable approximation of the surface tension in two-phase fluids",
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.",
keywords = "Energy stability, Navier-Stokes equation, Surface tension, Two-phase flow, Unconditionally stable method",
author = "Byungjoon Lee and Gangjoon Yoon and Chohong Min",
note = "Funding Information: The research of B. Lee was supported by the Research Fund, 2018 of the Catholic University of Korea, NRF grant 2017R1C1B1008626 and POSCO Science Fellowship of POSCO TJ Park Foundation , the research of C. Min by NRF grant 2017-006688 and 2019R1A6A1A11051177 , and the research of G. Yoon by National Institute for Mathematical Sciences ( NIMS ). Funding Information: The research of B. Lee was supported by the Research Fund, 2018 of the Catholic University of Korea, NRF grant 2017R1C1B1008626 and POSCO Science Fellowship of POSCO TJ Park Foundation, the research of C. Min by NRF grant 2017-006688 and 2019R1A6A1A11051177, and the research of G. Yoon by National Institute for Mathematical Sciences (NIMS). Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",
year = "2019",
month = nov,
day = "15",
doi = "10.1016/j.jcp.2019.07.028",
language = "English",
volume = "397",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",
}
