An Energy Diminishing Arbitrary Lagrangian–Eulerian Finite Element Method for Two-phase Navier–Stokes Flow

Beiping Duan, Buyang Li, Zongze Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

5 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 languageEnglish
Article number111215
Pages (from-to)1-17
Number of pages17
JournalJournal of Computational Physics
Volume461
DOIs
Publication statusPublished - 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)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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