NDLI: A streamwise constant model of turbulence in plane Couette flow

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A streamwise constant model of turbulence in plane Couette flow

Content Provider	Scilit
Author	Gayme, D. F. N., B. J. McK E. O. Papachristodoulou, A. Bamieh, B. Doyle, J. C.
Copyright Year	2010
Description	Streamwise and quasi-streamwise elongated structures have been shown to play a significant role in turbulent shear flows. We model the mean behaviour of fully turbulent plane Couette flow using a streamwise constant projection of the Navier–Stokes equations. This results in a two-dimensional three-velocity-component (2D/3C) model. We first use a steady-state version of the model to demonstrate that its nonlinear coupling provides the mathematical mechanism that shapes the turbulent velocity profile. Simulations of the 2D/3C model under small-amplitude Gaussian forcing of the cross-stream components are compared to direct numerical simulation (DNS) data. The results indicate that a streamwise constant projection of the Navier–Stokes equations captures salient features of fully turbulent plane Couette flow at low Reynolds numbers. A systems-theoretic approach is used to demonstrate the presence of large input–output amplification through the forced 2D/3C model. It is this amplification coupled with the appropriate nonlinearity that enables the 2D/3C model to generate turbulent behaviour under the small-amplitude forcing employed in this study.
Related Links	https://authors.library.caltech.edu/21931/1/Gayme2010p12460J_Fluid_Mech.pdf http://arxiv.org/abs/1001.0782 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4420B4735E2D8210C9A179D22FC3A2C7/S0022112010003861a.pdf/div-class-title-a-streamwise-constant-model-of-turbulence-in-plane-couette-flow-div.pdf
ISSN	00221120
e-ISSN	14697645
DOI	10.1017/s0022112010003861
Journal	Journal of Fluid Mechanics
Volume Number	665
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2010-10-19
Access Restriction	Open
Subject Keyword	Journal of Fluid Mechanics Fluids and Plasmas Physics Numerical Simulation Turbulent Plane Couette Couette Flow
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mechanics of Materials Condensed Matter Physics Mechanical Engineering

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