Three-dimensional volume-conserving immersed boundary model for two-phase fluid flows

Yibao Li, Ana Yun, Dongsun Lee, Jaemin Shin, Darae Jeong, Junseok Kim

Research output: Contribution to journalReview articlepeer-review

22 Citations (Scopus)


We present a volume-preserving scheme for two-phase immiscible incompressible flows using an immersed boundary method (IBM) in a three-dimensional space. The two-phase IBM employs a mixture of Eulerian and Lagrangian variables, where the fluid interface is represented by discrete Lagrangian markers exerting surface tension forces to the Eulerian fluid domain and the markers are advected by the fluid velocity. The interactions between the Lagrangian markers and the fluid variables are linked by the discretized Dirac delta function. The present study extends the previous two-dimensional research (Li et al., Volume preserving immersed boundary methods for two-phase fluid flows, Int. J. Numer. Meth. Fluids 69 (2012) 842-858) to the three-dimensional space. The key idea of the proposed method is relocating surface points along the normal directions to conserve the total volume. We perform a number of numerical experiments to show the efficiency and accuracy of the proposed method.

Original languageEnglish
Pages (from-to)36-46
Number of pages11
JournalComputer Methods in Applied Mechanics and Engineering
Publication statusPublished - 2013 Apr 5


  • Finite difference
  • Immersed boundary method
  • Multigrid method
  • Two-phase fluid flow
  • Volume-preserving

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications


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