Subcritical bifurcation of a rotating elastic filament in a viscous fluid by the immersed boundary method

Sookkyung Lim; Charles S. Peskin

doi:10.1016/B978-008044046-0.50345-6

Subcritical bifurcation of a rotating elastic filament in a viscous fluid by the immersed boundary method

Sookkyung Lim, Charles S. Peskin

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

A bifurcation occurs when an elastic filament rotates in a viscous fluid at frequency co (bifurcation parameter). 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, and to determine the nature of the bifurcation, which turns out to be subcritical.

Original language	English (US)
Title of host publication	Computational Fluid and Solid Mechanics 2003
Publisher	Elsevier Inc.
Pages	1409-1412
Number of pages	4
ISBN (Electronic)	9780080529479
ISBN (Print)	9780080440460
DOIs	https://doi.org/10.1016/B978-008044046-0.50345-6
State	Published - Jun 2 2003

Keywords

Bifurcation
Elastic filament
Immersed boundary method
Navier-Stokes equations

ASJC Scopus subject areas

General Engineering

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10.1016/B978-008044046-0.50345-6

Cite this

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abstract = "A bifurcation occurs when an elastic filament rotates in a viscous fluid at frequency co (bifurcation parameter). 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, and to determine the nature of the bifurcation, which turns out to be subcritical.",

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AU - Lim, Sookkyung

AU - Peskin, Charles S.

PY - 2003/6/2

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N2 - A bifurcation occurs when an elastic filament rotates in a viscous fluid at frequency co (bifurcation parameter). 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, and to determine the nature of the bifurcation, which turns out to be subcritical.

AB - A bifurcation occurs when an elastic filament rotates in a viscous fluid at frequency co (bifurcation parameter). 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, and to determine the nature of the bifurcation, which turns out to be subcritical.

KW - Bifurcation

KW - Elastic filament

KW - Immersed boundary method

KW - Navier-Stokes equations

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SP - 1409

EP - 1412

BT - Computational Fluid and Solid Mechanics 2003

PB - Elsevier Inc.

ER -

Subcritical bifurcation of a rotating elastic filament in a viscous fluid by the immersed boundary method

Abstract

Keywords

ASJC Scopus subject areas

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