Global modes and nonlinear analysis of inverted-flag flapping
Andres Goza, Tim Colonius, John E Sader
JOURNAL OF FLUID MECHANICS | CAMBRIDGE UNIV PRESS | Published : 2018
An inverted flag has its trailing edge clamped and exhibits dynamics distinct from that of a conventional flag, whose leading edge is restrained. We perform nonlinear simulations and a global stability analysis of the inverted-flag system for a range of Reynolds numbers, flag masses and stiffnesses. Our global stability analysis is based on a linearisation of the fully coupled fluid-structure system of equations. The calculated equilibria are steady-state solutions of the fully coupled nonlinear equations. By implementing this approach, we (i) explore the mechanisms that initiate flapping, (ii) study the role of vorticity generation and vortex-induced vibration (VIV) in large-amplitude flapp..View full abstract
Awarded by Robert Bosch LLC through the Bosch Energy Research Network Grant
Awarded by AFOSR
A.G. and T.C. gratefully acknowledge the computing resources provided to them through the NSF XSEDE program, and funding from Robert Bosch LLC through the Bosch Energy Research Network Grant (grant number 07.23.CS.15) and from the AFOSR (grant number FA9550-14-1-0328). J.E.S. thanks the ARC Centre of Excellence in Exciton Science and the Australian Research Council Grants Scheme.