Simulations of the whirling instability by the immersed boundary method

Sookkyung Lim; Charles S. Peskin

doi:10.1137/S1064827502417477

Simulations of the whirling instability by the immersed boundary method

Sookkyung Lim, Charles S. Peskin

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	2066-2083
Number of pages	18
Journal	SIAM Journal on Scientific Computing
Volume	25
Issue number	6
DOIs	https://doi.org/10.1137/S1064827502417477
State	Published - 2004

Keywords

Immersed boundary method
Overwhirling
Twirling
Whirling

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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AB - 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.

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KW - Twirling

KW - Whirling

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Simulations of the whirling instability by the immersed boundary method

Abstract

Keywords

ASJC Scopus subject areas

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