On computational issues of immersed finite element methods

X. Sheldon Wang*, L. T. Zhang, Wing Kam Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


The objective of this paper is to provide a review of recent finite element formulations for immersed methods. In these finite element formulations, independent Lagrangian solid meshes are introduced to move on top of a background Eulerian fluid mesh. This key feature allows the handling, without excessive fluid mesh adaptation, multiple deformable solids immersed in viscous fluid. In particular, pros and cons of both explicit and implicit approaches are illustrated along with subtle differences between incompressible and slightly compressible models.

Original languageEnglish (US)
Pages (from-to)2535-2551
Number of pages17
JournalJournal of Computational Physics
Issue number7
StatePublished - Apr 20 2009


  • Driven cavity
  • Fluid-structure interaction
  • Immersed boundary method
  • Immersed continuum method
  • Immersed finite element
  • Mixed finite element formulation

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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