Self-sustaining turbulence in a restricted nonlinear model of plane Couette flow

Journal Article · Wed Oct 15 04:00:00 EDT 2014 · Physics of Fluids (1994)

DOI:https://doi.org/10.1063/1.4898159· OSTI ID:22310808

Thomas, Vaughan L.; Gayme, Dennice F. ^[1]; Lieu, Binh K.; Jovanović, Mihailo R. ^[2]; Farrell, Brian F. ^[3]; Ioannou, Petros J. ^[4]

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1. Department of Mechanical Engineering, Johns Hopkins University, Baltimore, Maryland, 21218 (United States)
2. Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, Minnesota, 55455 (United States)
3. School of Engineering and Applied Science, Harvard University, Cambridge, Massachusetts, 02138 (United States)
4. Department of Physics, National and Kapodistrian University of Athens, Panepistimiopolis, Zografos, Athens, 15784 (Greece)

This paper demonstrates the maintenance of self-sustaining turbulence in a restricted nonlinear (RNL) model of plane Couette flow. The RNL system is derived directly from the Navier-Stokes equations and permits higher resolution studies of the dynamical system associated with the stochastic structural stability theory (S3T) model, which is a second order approximation of the statistical state dynamics of the flow. The RNL model shares the dynamical restrictions of the S3T model but can be easily implemented by reducing a DNS code so that it retains only the RNL dynamics. Comparisons of turbulence arising from DNS and RNL simulations demonstrate that the RNL system supports self-sustaining turbulence with a mean flow as well as structural and dynamical features that are consistent with DNS. These results demonstrate that the simplified RNL system captures fundamental aspects of fully developed turbulence in wall-bounded shear flows and motivate use of the RNL/S3T framework for further study of wall-turbulence.

• OSTI ID: 22310808
• Journal Information: Physics of Fluids (1994), Journal Name: Physics of Fluids (1994) Journal Issue: 10 Vol. 26; ISSN 1070-6631; ISSN PHFLE6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
COMPARATIVE EVALUATIONS
COUETTE FLOW
NAVIER-STOKES EQUATIONS
NONLINEAR PROBLEMS
SHEAR
SIMULATION
STOCHASTIC PROCESSES
TURBULENCE