Simulations of the whirling instability by the immersed boundary method

Sookkyung Lim, Charles Peskin

Research output: Contribution to journalArticle

Abstract

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
Volume25
Issue number6
DOIs
StatePublished - 2004

Fingerprint

Immersed Boundary Method
Filament
Viscous Fluid
Fluids
Navier Stokes equations
Simulation
Incompressible Navier-Stokes Equations
Incompressible Fluid
Straight
Motion
Interaction

Keywords

  • Immersed boundary method
  • Overwhirling
  • Twirling
  • Whirling

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Simulations of the whirling instability by the immersed boundary method. / Lim, Sookkyung; Peskin, Charles.

In: SIAM Journal on Scientific Computing, Vol. 25, No. 6, 2004, p. 2066-2083.

Research output: Contribution to journalArticle

Lim, Sookkyung ; Peskin, Charles. / Simulations of the whirling instability by the immersed boundary method. In: SIAM Journal on Scientific Computing. 2004 ; Vol. 25, No. 6. pp. 2066-2083.
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