An energy diminishing arbitrary Lagrangian–Eulerian finite element method for two-phase Navier–Stokes flow

Beiping Duan; Buyang Li; Zongze Yang

doi:https://doi.org/10.1016/j.jcp.2022.111215

An energy diminishing arbitrary Lagrangian–Eulerian finite element method for two-phase Navier–Stokes flow

Beiping Duan, Buyang Li, Zongze Yang

Department of Applied Mathematics

Research output: Journal article publication › Journal article › Academic research › peer-review

2 Citations (Scopus)

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
Article number	111215
Pages (from-to)	1-17
Number of pages	17
Journal	Journal of Computational Physics
Volume	461
DOIs	https://doi.org/10.1016/j.jcp.2022.111215
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

More information

https://doi.org/10.1016/j.jcp.2022.111215

Cite this

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title = "An energy diminishing arbitrary Lagrangian–Eulerian finite element method for two-phase Navier–Stokes flow",

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.",

keywords = "Arbitrary Lagrangian-Eulerian, Energy diminishing, Finite element method, Two-phase Navier–Stokes flow",

author = "Beiping Duan and Buyang Li and Zongze Yang",

note = "Funding Information: B. Duan was supported in part by China Postdoctoral Science Foundation (no. 2020M682895 ), B. Li is supported in part by the Hong Kong Research Grants Council (General Research Fund, project no. 15300920 ) and The Hong Kong Polytechnic University (project codes: ZZKQ and ZZKK ), and Z. Yang is supported in part by National Natural Science Foundation of China (grant no. U1930402 and 12071020 ) and the Hong Kong Research Grants Council (General Research Fund, project no. 15300920 ). Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",

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AU - Yang, Zongze

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N2 - 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.

AB - 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.

KW - Arbitrary Lagrangian-Eulerian

KW - Energy diminishing

KW - Finite element method

KW - Two-phase Navier–Stokes flow

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DO - https://doi.org/10.1016/j.jcp.2022.111215

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VL - 461

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JO - Journal of Computational Physics

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ER -

An energy diminishing arbitrary Lagrangian–Eulerian finite element method for two-phase Navier–Stokes flow

Abstract

Keywords

ASJC Scopus subject areas

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