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- W3100549018 abstract "We present several new spatially localized equilibrium and traveling-wave solutions of plane Couette and channel flows. The solutions exhibit strikingly concentrated regions of vorticity that are flanked on either side by high-speed streaks. For several traveling-wave solutions of channel flow, the concentrated vortex structures are confined to the near-wall region and form particularly isolated and elemental coherent structures in the near-wall region of shear flows. The solutions are constructed by a variety of methods: application of windowing functions to previously known spatially periodic solutions, continuation from plane Couette to channel flow conditions, and from initial guesses obtained from turbulent simulation data. We show how the symmetries of localized solutions derive from the symmetries of their periodic counterparts, analyze the exponential decay of their tails, examine the scale separation and scaling of their streamwise Fourier modes, and show that they develop critical layers for large Reynolds numbers." @default.
- W3100549018 created "2020-11-23" @default.
- W3100549018 creator A5028258159 @default.
- W3100549018 creator A5038240002 @default.
- W3100549018 date "2014-03-17" @default.
- W3100549018 modified "2023-09-25" @default.
- W3100549018 title "Spanwise-localized solutions of planar shear flows" @default.
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- W3100549018 doi "https://doi.org/10.1017/jfm.2014.89" @default.
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