Abstract
A linearized fully discrete arbitrary Lagrangian–Eulerian finite element method is proposed for solving the two-phase Navier–Stokes flow system and to preserve the energy-diminishing structure of the system at the discrete level, by taking account of the kinetic, potential and surface energy. Two benchmark problems of rising bubbles in fluids in both two and three dimensions are presented to illustrate the convergence and performance of the proposed method.
Original language | English |
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Article number | 111215 |
Pages (from-to) | 1-17 |
Number of pages | 17 |
Journal | Journal of Computational Physics |
Volume | 461 |
DOIs | |
Publication status | Published - 15 Jul 2022 |
Keywords
- Arbitrary Lagrangian-Eulerian
- Energy diminishing
- Finite element method
- Two-phase Navier–Stokes flow
ASJC Scopus subject areas
- Numerical Analysis
- Modelling and Simulation
- Physics and Astronomy (miscellaneous)
- Physics and Astronomy(all)
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics