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On a self-sustaining process in shear flows

Author(s): Fabian Waleffe

Publication date Created: April 1997

Publication date (Print): April 1997

Journal: Physics of Fluids

Publisher: AIP Publishing

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Most cited references 38

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Hydrodynamic stability without eigenvalues.

L N Trefethen, A E Trefethen, S Reddy … (1993)

Fluid flows that are smooth at low speeds become unstable and then turbulent at higher speeds. This phenomenon has traditionally been investigated by linearizing the equations of flow and testing for unstable eigenvalues of the linearized problem, but the results of such investigations agree poorly in many cases with experiments. Nevertheless, linear effects play a central role in hydrodynamic instability. A reconciliation of these findings with the traditional analysis is presented based on the "pseudospectra" of the linearized problem, which imply that small perturbations to the smooth flow may be amplified by factors on the order of 10(5) by a linear mechanism even though all the eigenmodes decay monotonically. The methods suggested here apply also to other problems in the mathematical sciences that involve nonorthogonal eigenfunctions.

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The dynamics of coherent structures in the wall region of a turbulent boundary layer

Nadine Aubry, Philip Holmes, John Lumley … (1988)

0 comments Cited 268 times – based on 0 reviews      Review now

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Regeneration mechanisms of near-wall turbulence structures

James Hamilton, John Kim, Fabian Waleffe (1995)

0 comments Cited 262 times – based on 0 reviews      Review now

Author and article information

Journal

Title: Physics of Fluids

Abbreviated Title: Physics of Fluids

Publisher: AIP Publishing

ISSN (Print): 1070-6631

ISSN (Electronic): 1089-7666

Publication date Created: April 1997

Publication date (Print): April 1997

Volume: 9

Issue: 4

Pages: 883-900

Article

DOI: 10.1063/1.869185

SO-VID: 273eca59-95c4-45b4-acae-9ea13f1c8afa

Copyright © © 1997

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