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

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.
Authors:
;  [1] ; ;  [2] ;  [3] ;  [4]
  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)
Publication Date:
OSTI Identifier:
22310808
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Fluids (1994); Journal Volume: 26; Journal Issue: 10; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; COMPARATIVE EVALUATIONS; COUETTE FLOW; NAVIER-STOKES EQUATIONS; NONLINEAR PROBLEMS; SHEAR; SIMULATION; STOCHASTIC PROCESSES; TURBULENCE