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

Byungjoon Lee; Gangjoon Yoon; Chohong Min

doi:10.1016/j.jcp.2019.07.028

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

Byungjoon Lee, Gangjoon Yoon, Chohong Min

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	108829
Journal	Journal of Computational Physics
Volume	397
DOIs	https://doi.org/10.1016/j.jcp.2019.07.028
State	Published - 15 Nov 2019

Bibliographical note

Publisher Copyright:
© 2019 Elsevier Inc.

Keywords

Energy stability
Navier-Stokes equation
Surface tension
Two-phase flow
Unconditionally stable method

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10.1016/j.jcp.2019.07.028

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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.",

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N2 - 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.

AB - 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.

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KW - Navier-Stokes equation

KW - Surface tension

KW - Two-phase flow

KW - Unconditionally stable method

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

Abstract

Bibliographical note

Keywords

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