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Oblique stripe solutions of channel flow

Abstract : With decreasing Reynolds number, Re, turbulence in channel flow becomes spatiotemporally intermittent and self-organises into solitary stripes oblique to the mean flow direction. We report here the existence of localised nonlinear travelling wave solutions of the Navier-Stokes equations possessing this obliqueness property. Such solutions are identified numerically using edge tracking coupled with arclength continuation. All solutions emerge in saddle-node bifurcations at values of Re lower than the non-localised solutions. Relative periodic orbit solutions bifurcating from branches of travelling waves have also been computed. A complete parametric study is performed, including their stability, the investigation of their large-scale flow, and the robustness to changes of the numerical domain.
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https://hal.archives-ouvertes.fr/hal-03032066
Contributor : Yohann Duguet Connect in order to contact the contributor
Submitted on : Monday, November 30, 2020 - 5:30:12 PM
Last modification on : Sunday, June 26, 2022 - 2:58:58 AM
Long-term archiving on: : Monday, March 1, 2021 - 7:51:59 PM

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Chaitanya S Paranjape, yohann Duguet, Björn Hof. Oblique stripe solutions of channel flow. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2020, 897, ⟨10.1017/jfm.2020.322⟩. ⟨hal-03032066⟩

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