# Sensitivity of the least stable modes to passive control for a flow around an elastically-mounted circular cylinder

@inproceedings{Dolci2021SensitivityOT, title={Sensitivity of the least stable modes to passive control for a flow around an elastically-mounted circular cylinder}, author={Daiane I. Dolci and Bruno Souza Carmo}, year={2021} }

In this paper, a methodology to calculate the sensitivity of the least stable modes of fluidstructure interaction systems with respect to local forces is presented. We make use of the adjoint equations of the flow-structure coupled system to calculate the gradients, and the algorithms were implemented using the spectral/hp element method for the spatial discretization. The methodology was applied to two-dimensional incompressible laminar steady flows around an elastically-mounted circular…

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SHOWING 1-10 OF 29 REFERENCES

Structural sensitivity of the first instability of the cylinder wake

- PhysicsJournal of Fluid Mechanics
- 2007

The stability properties of the flow past an infinitely long circular cylinder are studied in the context of linear theory. An immersed-boundary technique is used to represent the cylinder surface on…

ON THE INSTABILITY OF A SPRING-MOUNTED CIRCULAR CYLINDER IN A VISCOUS FLOW AT LOW REYNOLDS NUMBERS

- Mathematics
- 2000

Abstract The first instability of a spring-mounted, damped, rigid circular cylinder, immersed in a viscous flow and free to move in a direction orthogonal to the unperturbed flow, is investigated by…

Instability and sensitivity of the flow around a rotating circular cylinder

- PhysicsJournal of Fluid Mechanics
- 2010

The two-dimensional flow around a rotating circular cylinder is studied at Re = 100. The instability mechanisms for the first and second shedding modes are analysed. The region in the flow with a…

An asymptotic expansion for the vortex-induced vibrations of a circular cylinder

- PhysicsJournal of Fluid Mechanics
- 2011

This paper investigates the vortex-induced vibrations (VIV) of a spring-mounted circular cylinder. We compute analytically the leading-order equations describing the nonlinear interaction of the…

Linear stability analysis of strongly coupled fluid–structure problems with the Arbitrary-Lagrangian–Eulerian method

- MathematicsComputer Methods in Applied Mechanics and Engineering
- 2019

Abstract The stability analysis of elastic structures strongly coupled to incompressible viscous flows is investigated in this paper, based on a linearization of the governing equations formulated…

On the linear global stability analysis of rigid-body motion fluid–structure-interaction problems

- PhysicsJournal of Fluid Mechanics
- 2020

Abstract A rigorous derivation and validation for linear fluid–structure-interaction (FSI) equations for a rigid-body motion problem is performed in an Eulerian framework. We show that the ‘added…

Sensitivity analysis and passive control of cylinder flow

- PhysicsJournal of Fluid Mechanics
- 2008

A general theoretical formalism is developed to assess how base-flow modifications may alter the stability properties of flows studied in a global approach of linear stability theory. It also…

Stability analysis and control of the flow in a symmetric channel with a sudden expansion

- Physics
- 2011

The laminar flow in two-dimensional diffusers may produce either symmetric or nonsymmetric steady solutions, depending on the value of the Reynolds number as compared with some critical value. The…

Model reduction and mechanism for the vortex-induced vibrations of bluff bodies

- PhysicsJournal of Fluid Mechanics
- 2017

We present an effective reduced-order model (ROM) technique to couple an incompressible flow with a transversely vibrating bluff body in a state-space format. The ROM of the unsteady wake flow is…

Fluid–structure stability analyses and nonlinear dynamics of flexible splitter plates interacting with a circular cylinder flow

- PhysicsJournal of Fluid Mechanics
- 2020

The dynamics of a hyperelastic splitter plate interacting with the laminar wake flow of a circular cylinder is investigated numerically at a Reynolds number of 80. By decreasing the plate’s…