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Abstract
By extracting unstable invariant solutions directly from body-forced three-dimensional turbulence, we study the dynamical processes at play when the forcing is large scale and unidirectional in either the momentum or the vorticity equations. In the former case, the dynamical processes familiar from recent work on linearly stable shear flows-variously called the self-sustaining process (Waleffe, Phys. Fluids, vol. 9 (4), 1997, pp. 883-900) or vortex-wave interaction (Hall and Smith, J. Fluid Mech., vol. 227, 1991, pp. 641-666; Hall and Sherwin, J. Fluid Mech., vol. 661, 2010, pp. 178-205)-are important even when the base flow is linearly unstable. In the latter case, where the forcing drives Taylor-Green vortices, a number of mechanisms are observed from the various types of periodic orbits isolated. In particular, two different transient growth mechanisms are discussed to explain the more complex states found.
Original language | English |
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Article number | R3 |
Number of pages | 11 |
Journal | Journal of Fluid Mechanics |
Volume | 817 |
Early online date | 24 Mar 2017 |
DOIs | |
Publication status | Published - Apr 2017 |
Keywords
- Turbulence theory
- nonlinear dynamical systems
- chaos
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Dive into the research topics of 'Sustaining processes from recurrent flows in body-forced turbulence'. Together they form a unique fingerprint.Projects
- 1 Finished
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Periodic Orbits as a Basis for Fluid Turbulence
Kerswell, R. R. (Principal Investigator)
1/05/10 → 1/10/13
Project: Research