On computational issues of immersed finite element methods

  • Authors:

  • X. Sheldon Wang;L. T. Zhang;Wing Kam Liu

  • Affiliations:

  • Department of Mathematical Sciences, New Jersey Institute of Technology, 323 Martin Luther King Jr. Blvd., Newark, NJ 07102, United States;Department of Mechanical, Aerospace, and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180, United States;Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208, United States

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2009

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Abstract

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.