Journal
PHYSICAL REVIEW E
Volume 93, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.93.021102
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Funding
- Air Force Office of Scientific Research (Flow Interactions and Control Program) [FA9550-11-1-0094, FA9550-15-1-0062, FA9550-12-1-0469]
- Air Force Office of Scientific Research (European Office of Aerospace Research and Development) [FA9550-14-1-0042]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1440415] Funding Source: National Science Foundation
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We report that many exact invariant solutions of the Navier-Stokes equations for both pipe and channel flows are well represented by just a few modes of the model of McKeon and Sharma [J. FluidMech. 658, 336 (2010)]. This model provides modes that act as a basis to decompose the velocity field, ordered by their amplitude of response to forcing arising from the interaction between scales. The model was originally derived from the Navier-Stokes equations to represent turbulent flows and has been used to explain coherent structure and to predict turbulent statistics. This establishes a surprising new link between the two distinct approaches to understanding turbulence.
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