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Stochastic and deterministic motion of a laminar-turbulent front in a spanwisely extended Couette flow
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0001-9627-5903
2011 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 84, no 6, 066315- p.Article in journal (Refereed) Published
Abstract [en]

We investigate numerically the dynamics of a laminar-turbulent interface in a spanwisely extended and streamwisely minimal plane Couette flow. The chosen geometry allows one to suppress the large-scale secondary flow and to focus on the nucleation of streaks near the interface. It is shown that the resulting spanwise motion of the interface is essentially stochastic and can be modeled as a continuous-time random walk. This model corresponds here to a Gaussian diffusion process. The average speed of the interface and the corresponding diffusion coefficient are determined as functions of the Reynolds number Re, as well as the threshold value above which turbulence contaminates the whole domain. For the lowest values of Re, the stochastic dynamics competes with another deterministic regime of growth of the localized perturbations. The latter is interpreted as a depinning process from the homoclinic snaking region of the system.

Place, publisher, year, edition, pages
2011. Vol. 84, no 6, 066315- p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-75543DOI: 10.1103/PhysRevE.84.066315ISI: 000298675400007Scopus ID: 2-s2.0-84855302054OAI: oai:DiVA.org:kth-75543DiVA: diva2:490752
Funder
Swedish e‐Science Research Center
Note
QC 20120206Available from: 2012-02-06 Created: 2012-02-06 Last updated: 2017-12-08Bibliographically approved

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Schlatter, Philipp

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