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Dynamical systems models of wall-bou...

Gibson, John Francis.

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Dynamical systems models of wall-bounded, shear-flow turbulence.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dynamical systems models of wall-bounded, shear-flow turbulence./
Author:	Gibson, John Francis.
Description:	219 p.
Notes:	Source: Dissertation Abstracts International, Volume: 63-07, Section: B, page: 3365.
Contained By:	Dissertation Abstracts International63-07B.
Subject:	Engineering, Aerospace. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3059142
ISBN:	0493750282

Dynamical systems models of wall-bounded, shear-flow turbulence.
Gibson, John Francis.

Dynamical systems models of wall-bounded, shear-flow turbulence. - 219 p.

Source: Dissertation Abstracts International, Volume: 63-07, Section: B, page: 3365.

Thesis (Ph.D.)--Cornell University, 2002.

A rigid wall constrains and simplifies turbulence in its vicinity. In the near-wall region, turbulent flow is dominated by a few energetic structures. Aubry, Holmes, Lumley, and Stone [1] developed low-dimensional dynamical systems models of the turbulent boundary layer, using the proper orthogonal decomposition (POD) to identify the dominant structures and Galerkin projection of the Navier-Stokes equations to derive their equations of motion. Their models reproduced important qualitative features of boundary-layer dynamics, most importantly, the growth, bursting, and reformation of counter-rotating streamwise vortices. We reexamine Aubry <italic>et al</italic>.'s models, in an effort to improve their quantitative accuracy, in both predictive and statistical senses. We find that POD models are stable in some parameter regions, despite the lack of upper-surface velocity boundary conditions. For predictive accuracy, however, enforcement of velocity boundary conditions and accurate specification of the upper-surface pressure signal are necessary, for the cases considered. We propose that plane Couette flow is a closely related but better-posed test case than the boundary-layer for dynamical-systems modeling of turbulence. For the simplest plane Couette systems, we find that very large truncation dimensions (0(1000)) are necessary to reproduce the qualitative behavior and statistical measures of the dominant structures. We find that eddy-viscosity is an ineffective model for the unresolved modes of moderate truncation dimensions (O(100)), but numerical results suggest that unresolved-mode modeling is possible in principle.

ISBN: 0493750282Subjects--Topical Terms:

1018395
Engineering, Aerospace.

Dynamical systems models of wall-bounded, shear-flow turbulence.
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100 1 $a Gibson, John Francis. $3 1899961
245 1 0 $a Dynamical systems models of wall-bounded, shear-flow turbulence.
300 $a 219 p.
500 $a Source: Dissertation Abstracts International, Volume: 63-07, Section: B, page: 3365.
500 $a Adviser: John L. Lumley.
502 $a Thesis (Ph.D.)--Cornell University, 2002.
520 $a A rigid wall constrains and simplifies turbulence in its vicinity. In the near-wall region, turbulent flow is dominated by a few energetic structures. Aubry, Holmes, Lumley, and Stone [1] developed low-dimensional dynamical systems models of the turbulent boundary layer, using the proper orthogonal decomposition (POD) to identify the dominant structures and Galerkin projection of the Navier-Stokes equations to derive their equations of motion. Their models reproduced important qualitative features of boundary-layer dynamics, most importantly, the growth, bursting, and reformation of counter-rotating streamwise vortices. We reexamine Aubry <italic>et al</italic>.'s models, in an effort to improve their quantitative accuracy, in both predictive and statistical senses. We find that POD models are stable in some parameter regions, despite the lack of upper-surface velocity boundary conditions. For predictive accuracy, however, enforcement of velocity boundary conditions and accurate specification of the upper-surface pressure signal are necessary, for the cases considered. We propose that plane Couette flow is a closely related but better-posed test case than the boundary-layer for dynamical-systems modeling of turbulence. For the simplest plane Couette systems, we find that very large truncation dimensions (0(1000)) are necessary to reproduce the qualitative behavior and statistical measures of the dominant structures. We find that eddy-viscosity is an ineffective model for the unresolved modes of moderate truncation dimensions (O(100)), but numerical results suggest that unresolved-mode modeling is possible in principle.
590 $a School code: 0058.
650 4 $a Engineering, Aerospace. $3 1018395
650 4 $a Physics, Fluid and Plasma. $3 1018402
690 $a 0538
690 $a 0759
710 2 0 $a Cornell University. $3 530586
773 0 $t Dissertation Abstracts International $g 63-07B.
790 1 0 $a Lumley, John L., $e advisor
790 $a 0058
791 $a Ph.D.
792 $a 2002
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3059142