- Rapid Communication
- Access by Xinjiang University
Data-driven approach to design of passive flow control strategies
Phys. Rev. Fluids 2, 021901(R) – Published 7 February, 2017
DOI: https://doi.org/10.1103/PhysRevFluids.2.021901
Abstract
An approach to designing passive devices for control of unsteady flows is presented. The method requires only snapshots of the flow to be controlled as inputs. A temporal correlation based on proper orthogonal decomposition of both fluctuating velocity and nonlinear forcing serves to identify the spatial locations in which the forcing drives the different unsteady flow features. The installation of a passive device in these spatial locations inhibits the fluctuating motion. The potential of the methodology is demonstrated via the suppression of vortex shedding in flow past a square cylinder, paving the way to the control of more complex flows using passive devices. Connections in agreement with previous studies targeting the same flow using different passive flow control strategies are provided.
Physics Subject Headings (PhySH)
Article Text
References (18)
- H. Choi, W. P. Jeon, and J. Kim, Control of flow over a bluff body, Annu. Rev. Fluid Mech. 40, 113 (2008).
- K. Kwon and H. Choi, Control of laminar vortex shedding behind a circular cylinder using splitter plates, Phys. Fluids 8, 479 (1996).
- M. S. M. Ali, C. J. Doolan, and V. Wheatley, Low Reynolds number flow over a square cylinder with a splitter plate, Phys. Fluids 23, 033602 (2011).
- C. J. Doolan, Flat-plate interaction with the near wake of a square cylinder, AIAA J. 47, 475 (2009).
- L. Zhou, M. Cheng, and K. C. Hung, Suppression of fluid force on a square cylinder by flow control, J. Fluids Struct. 21, 151 (2005).
- F. Giannetti and P. Luchini, Structural sensitivity of the first instability of the cylinder wake, J. Fluid Mech. 581, 167 (2007).
- B. J. McKeon and A. S. Sharma, A critical layer framework for turbulent pipe flow, J. Fluid Mech. 658, 336 (2010).
- R. Moarref, A. S. Sharma, J. A. Tropp, and B. J. McKeon, Model-based scaling of the streamwise energy density in high-Reynolds-number turbulent channels, J. Fluid Mech. 734, 275 (2013).
- F. Gómez, H. M. Blackburn, M. Rudman, A. S. Sharma, and B. J. McKeon, A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator, J. Fluid Mech. 798, R2 (2016).
- F. Gómez, A. S. Sharma, and H. M. Blackburn, Estimation of unsteady aerodynamic forces using pointwise velocity data, J. Fluid Mech. 804, R4 (2016).
- S. Beneddine, D. Sipp, A. Arnault, J. Dandois, and L. Lesshafft, Conditions for validity of mean flow stability analysis, J. Fluid Mech. 798, 485 (2016).
- A. Towne, T. Colonius, P. Jordan, A. Cavalieri, and G. A. Brès, in Proceedings of the 21st AIAA/CEAS Aeroacoustics Conference (AIAA, Reston, 2015), paper 2015-2217.
- A. S. Sharma, I. Mezic, and B. J. McKeon, On the correspondence between Koopman mode decomposition, resolvent mode decomposition, and invariant solutions of the Navier-Stokes equations, Phys. Rev. Fluids 1, 032402(R) (2016).
- M. Luhar, A. S. Sharma, and B. J. McKeon, Opposition control within the resolvent analysis framework, J. Fluid Mech. 749, 597 (2014).
- M. Luhar, A. S. Sharma, and B. J. McKeon, A framework for studying the effect of compliant surfaces on wall turbulence, J. Fluid Mech. 768, 415 (2015).
- H. M. Blackburn and J. M. Lopez, On three-dimensional quasiperiodic Floquet instabilities of two-dimensional bluff body wakes, Phys. Fluids 15, L57 (2003).
- N. Halko, P. G. Martinsson, and J. A. Tropp, Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions, SIAM Rev. 53, 217 (2011).
- B. R. Noack, K. Afanasiev, M. Morzyński, G. Tadmor, and F. Thiele, A hierarchy of low-dimensional models for the transient and post-transient cylinder wake, J. Fluid Mech. 497, 335 (2003).