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Sharma AS, Moarref R, McKeon BJ, et al. Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence. Phys Rev E. 2016;93(2):021102doi: 10.1103/PhysRevE.93.021102.
Sharma, A. S., Moarref, R., McKeon, B. J., Park, J. S., Graham, M. D., & Willis, A. P. (2016). Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence. Physical review. E, 93(2), 021102. https://doi.org/10.1103/PhysRevE.93.021102
Sharma, Ati S, et al. "Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence." Physical review. E vol. 93,2 (2016): 021102. doi: https://doi.org/10.1103/PhysRevE.93.021102
Sharma AS, Moarref R, McKeon BJ, Park JS, Graham MD, Willis AP. Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence. Phys Rev E. 2016 Feb;93(2):021102. doi: 10.1103/PhysRevE.93.021102. Epub 2016 Feb 19. PMID: 26986280.
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Phys Rev E. 2016 Feb;93(2):021102. doi: 10.1103/PhysRevE.93.021102. Epub 2016 Feb 19.

Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence.

Physical review. E

Ati S Sharma, Rashad Moarref, Beverley J McKeon, Jae Sung Park, Michael D Graham, Ashley P Willis

Affiliations

  1. University of Southampton, Southampton SO17 1BJ, United Kingdom.
  2. California Institute of Technology, Pasadena, California 91125, USA.
  3. University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.
  4. University of Sheffield, Sheffield, S10 2TN, United Kingdom.

PMID: 26986280 DOI: 10.1103/PhysRevE.93.021102

Abstract

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. Fluid Mech. 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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