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

摘要

A bifurcation occurs when an elastic filament rotates in a viscous fluid at frequency ω (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.