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 | |
| State | Published - 2004 |
Keywords
- Immersed boundary method
- Overwhirling
- Twirling
- Whirling
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics