Control of flow around a circular cylinder for minimizing energy dissipation

Hiroshi Naito, Koji Fukagata

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Control of flow around a circular cylinder is studied numerically aiming at minimization of the energy dissipation. First, we derive a mathematical relationship (i.e., identity) between the energy dissipation in an infinitely large volume and the surface quantities, so that the cost function can be expressed by the surface quantities only. Subsequently a control law to minimize the energy dissipation is derived by using the suboptimal control procedure [J. Fluid Mech. 401, 123 (1999)JFLSA70022-112010.1017/S002211209900659X]. The performance of the present suboptimal control law is evaluated by a parametric study by varying the value of the arbitrary parameter contained. Two Reynolds numbers, Re=100 and 1000, are investigated by two-dimensional simulations. Although no improvement is obtained at Re=100, the present suboptimal control shows better results at Re=1000 than the suboptimal controls previously proposed. With the present suboptimal control, the dissipation and the drag are reduced by 58% and 44% as compared to the uncontrolled case, respectively. The suction around the front stagnation point and the blowing in the rear half are found to be weakened as compared to those in the previous suboptimal control targeting at pressure drag reduction. A predetermined control based on the control input profile obtained by the suboptimal control is also performed. The energy dissipation and the drag are found to be reduced as much as those in the present suboptimal control. It is also found that the present suboptimal and predetermined controls have better energy efficiencies than the suboptimal control previously proposed. Investigation at different control amplitudes reveals an advantage of the present control at higher amplitude. Toward its practical implementation, a localized version of the predetermined control is also examined, and it is found to work as effectively as the continuous case. Finally, the present predetermined control is confirmed to work well in a three-dimensional flow too.

Original languageEnglish
Article number053008
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Issue number5
DOIs
Publication statusPublished - 2014 Nov 17

Fingerprint

Suboptimal Control
Energy Dissipation
circular cylinders
Circular Cylinder
energy dissipation
Drag
Drag Reduction
Stagnation Point
Three-dimensional Flow
Suction
Energy Efficiency
drag
Reynolds number
Cost Function
Dissipation
pressure drag
Minimise
Fluid
drag reduction
three dimensional flow

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Control of flow around a circular cylinder for minimizing energy dissipation. / Naito, Hiroshi; Fukagata, Koji.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 90, No. 5, 053008, 17.11.2014.

Research output: Contribution to journalArticle

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