Abstract

This paper provides an investigation of the structure of the stable manifold of the lower branch steady state for the plane Couette flow. Minimal energy perturbations to the laminar state are computed, which approach within a prescribed tolerance the lower branch steady state in a finite time. For small times, such minimal-energy perturbations maintain at least one of the symmetries characterizing the lower branch state. For a sufficiently large time horizon, such symmetries are broken and the minimal-energy perturbations on the stable manifold are formed by localized asymmetrical vortical structures. These minimal-energy perturbations could be employed to develop a control procedure aiming at stabilizing the low-dissipation lower branch state. © 2014 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.

Autore Pugliese

• De Palma Pietro

Tutti gli autori

• Cherubini S , De Palma P

Titolo volume/Rivista

FLUID DYNAMICS RESEARCH

Anno di pubblicazione

2014

ISSN

0169-5983

ISBN

Non Disponibile

Numero di citazioni Wos

Nessuna citazione

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Numero di citazioni Scopus

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Settori ERC

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Codici ASJC

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