Suppression of vortex shedding for flow around a circular cylinder using optimal control

Homescu, Cristian; Navon, I. M.; Li, Z.

doi:10.1002/fld.203

Cited by 88 publications

(62 citation statements)

References 67 publications

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“…This section details the derivation of the development of the adjoint method, aimed at obtaining the gradient of the cost functional with respect to the control parameters e ciently, closely following [65].…”

Section: Derivation and Verification Of The Adjoint And Tangent Lineamentioning

confidence: 99%

A comparative study of the performance of high resolution advection schemes in the context of data assimilation

Akella

Navon

2006

Int. J. Numer. Meth. Fluids

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SUMMARYHigh resolution advection schemes have been developed and studied to model propagation of ows involving sharp fronts and shocks. So far the impact of these schemes in the framework of inverse problem solution has been studied only in the context of linear models. A detailed study of the impact of various slope limiters and the piecewise parabolic method (PPM) on data assimilation is the subject of this work, using the nonlinear viscous Burgers equation in 1-D. Also provided are results obtained in 2-D using a global shallow water equations model. The results obtained in this work may point out to suitability of these advection schemes for data assimilation in more complex higher dimensional models.

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Section: Derivation and Verification Of The Adjoint And Tangent Lineamentioning

confidence: 99%

A comparative study of the performance of high resolution advection schemes in the context of data assimilation

Akella

Navon

2006

Int. J. Numer. Meth. Fluids

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“…In (8), (9), n = (n 1 ; n 2 ) T is the outward unit normal, n ⊥ = (n 2 ; −n 1 ) T is the tangential direction, and ! is a non-negative weighting function.…”

Section: The Optimal Control Problemmentioning

confidence: 99%

“…Speciÿcally, the observation part of the objective function is given by (9). Since n = (0; −1) T , (9) reads…”

Section: Optimal Control Of Wall Shear Stressmentioning

confidence: 99%

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Optimal control of unsteady compressible viscous flows

Collis

Ghayour

Heinkenschloss

et al. 2002

Numerical Methods in Fluids

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SUMMARYThe control of complex, unsteady ows is a pacing technology for advances in uid mechanics. Recently, optimal control theory has become popular as a means of predicting best case controls that can guide the design of practical ow control systems. However, most of the prior work in this area has focused on incompressible ow which precludes many of the important physical ow phenomena that must be controlled in practice including the coupling of uid dynamics, acoustics, and heat transfer. This paper presents the formulation and numerical solution of a class of optimal boundary control problems governed by the unsteady two-dimensional compressible Navier-Stokes equations. Fundamental issues including the choice of the control space and the associated regularization term in the objective function, as well as issues in the gradient computation via the adjoint equation method are discussed. Numerical results are presented for a model problem consisting of two counter-rotating viscous vortices above an inÿnite wall which, due to the self-induced velocity ÿeld, propagate downward and interact with the wall. The wall boundary control is the temporal and spatial distribution of wall-normal velocity. Optimal controls for objective functions that target kinetic energy, heat transfer, and wall shear stress are presented along with the in uence of control regularization for each case.

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“…al. [11] studied an optimal control approach for the active control of incompressible viscous flow past a circular cylinder. Fagley et.…”

Section: Introductionmentioning

confidence: 99%

A Nonlinear Dynamical Modeling and Control Method for the Vorticity Control of the Flow past a Circular Cylinder

Karaca¹,

Ozen²,

Kasnakoğlu³

2013

IJMMM

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Abstract-In this paper a systematic approach for the nonlinear modeling and feedback control of vorticity behind an immersed circular cylinder system was developed. In this technique first a number of control input points over the cylinder and some measurement points for vorticity past the cylinder are assigned. A type of nonlinear dynamic model (namely a Hammerstein-Wiener (HW) model) of the flow field is estimated via system identification techniques using measurement data obtained from a chirp input function. Once the dynamical model of the system is estimated, a controller for the linear block of the HW model is designed using internal model control method, and this controller is then mapped to the HW model by reversing the input/output nonlinearity functions. The procedure described is implemented and tested numerically in MATLAB and CFD computations performed on the closed-loop system show that the controller is capable of achieving significant reduction in the vorticity levels past the cylinder.Index Terms-Flow past a circular cylinder, nonlinear dynamical modeling and control, system identification, hammerstein-wiener method, vorticity control.

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Suppression of vortex shedding for flow around a circular cylinder using optimal control

Cited by 88 publications

References 67 publications

A comparative study of the performance of high resolution advection schemes in the context of data assimilation

A comparative study of the performance of high resolution advection schemes in the context of data assimilation

Optimal control of unsteady compressible viscous flows

A Nonlinear Dynamical Modeling and Control Method for the Vorticity Control of the Flow past a Circular Cylinder

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