Using Nonlinear Transient Growth to Construct the Minimal Seed for Shear Flow Turbulence

CCT Pringle, RR Kerswell

Research output: Contribution to journalArticle (Academic Journal)

90 Citations (Scopus)

Abstract

Linear transient growth analysis is commonly used to suggest the structure of disturbances which are particularly efficient in triggering transition to turbulence in shear flows. We demonstrate that the addition of nonlinearity to the analysis can substantially change the prediction made in pipe flow from simple two-dimensional streamwise rolls to a spanwise and cross-stream localized three-dimensional state. This new nonlinear optimal is demonstrably more efficient in triggering turbulence than the linear optimal indicating that there are better ways to design perturbations to achieve transition.
Original languageEnglish
Pages (from-to)154502 - 154505
Number of pages4
JournalPhysical Review Letters
Volume105, issue 15
DOIs
Publication statusPublished - Oct 2010

Bibliographical note

Publisher: American Physical Society

Fingerprint Dive into the research topics of 'Using Nonlinear Transient Growth to Construct the Minimal Seed for Shear Flow Turbulence'. Together they form a unique fingerprint.

  • Cite this