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 | |
| State | Published - 15 Nov 2019 |
Bibliographical note
Publisher Copyright:© 2019 Elsevier Inc.
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This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 7 Affordable and Clean Energy
Keywords
- Energy stability
- Navier-Stokes equation
- Surface tension
- Two-phase flow
- Unconditionally stable method
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