Abstract
In linearly stable shear flows including pipe and plane Couette flow finite amplitude perturbations are required to trigger turbulence [1]. Studying lifetimes of perturbations and locating the transition between smooth variations and sensitive dependence on initial conditions we identify the boundary in between laminar and turbulent dynamics [2, 3]. States within this edge of chaos evolve towards a relative attractor, the edge state whose stable set forms the edge. In numerical studies of small domains, spatially periodic edge states have been identified. However, transitional turbulence in spatially extended systems is observed in localized patterns such as slugs and puffs in pipe flow or striped turbulence in Taylor-Couette and plane Couette flow [5, 6] suggesting the existence of localized edge states.
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© 2009 Springer-Verlag Berlin Heidelberg
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Schneider, T.M., Marinc, D., Eckhardt, B. (2009). Localization in plane Couette edge dynamics. In: Eckhardt, B. (eds) Advances in Turbulence XII. Springer Proceedings in Physics, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03085-7_19
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DOI: https://doi.org/10.1007/978-3-642-03085-7_19
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