Simulations of the whirling instability by the immersed boundary method

Sookkyung Lim, Charles S. Peskin

Research output: Contribution to journalArticlepeer-review


When an elastic filament spins in a viscous incompressible fluid it may undergo a whirling instability, as studied asymptotically by Wolgemuth, Powers, and Goldstein [Phys. Rev. Lett., 84 (2000), pp. 16-23]. We use the immersed boundary (IB) method to study the interaction between the elastic filament and the surrounding viscous fluid as governed by the incompressible Navier-Stokes equations. This allows the study of the whirling motion when the shape of the filament is very different from the unperturbed straight state.

Original languageEnglish (US)
Pages (from-to)2066-2083
Number of pages18
JournalSIAM Journal on Scientific Computing
Issue number6
StatePublished - 2004


  • Immersed boundary method
  • Overwhirling
  • Twirling
  • Whirling

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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