Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst

By Genta Kawahara, S. Kida. Journal of Fluid Mechanics, 2001

435 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Mechanics, Global and Planetary Change

View Paper: https://www.semanticscholar.org/paper/aa7b0c8e6ad8514bf16d8f05a95a91fcc73ad99b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Javier Jiménez
2. Divakar Viswanath
3. Rich R. Kerswell
4. Gary J. Chandler
5. J. D. Álamo
6. O. Flores
7. Jonathan J. Halcrow
8. J. Gibson

In Computational Mechanics

1. Javier Jiménez
2. J. D. Álamo
3. Rich R. Kerswell
4. O. Flores
5. B. McKeon
6. Markus Uhlmann
7. Lennaert van Veen
8. Genta Kawahara

In Global and Planetary Change

1. Rich R. Kerswell
2. Javier Jiménez
3. O. Flores
4. Jonathan J. Halcrow
5. J. Gibson
6. Predrag Cvitanović
7. Fabian Waleffe
8. J. D. Álamo

Citations in the corpus

• The Significance of Simple Invariant Solutions in Turbulent Flows (2011, methodology): “The former are represented by Nagata (1990) upper-branch steady solutions and the Kawahara & Kida (2001) dynamic periodic solution for Couette flow, by Jiménez & Simens (2001) autonomous travelling waves and the Waleffe (2003) upper-branch travelling wave for Poiseuille flow, and by Kerswell…”
• Invariant recurrent solutions embedded in a turbulent two-dimensional Kolmogorov flow (2013, methodology): “The first attempt to extract a recurrent flow from three-dimensional Navier–Stokes turbulence was made in a landmark calculation by Kawahara & Kida (2001).”
• The large-scale dynamics of near-wall turbulence (2002, methodology): “Fully nonlinear individual structures of similar sizes have been isolated by different methods in simplified Poiseuille (Jiménez & Moin 1991; Jiménez & Simens 2001; Waleffe 2001) and Couette flows (Nagata 1990; Waleffe 1998; Kawahara & Kida 2001).”
• Homotopy of exact coherent structures in plane shear flows (2003, background): “19!. Kawahara and Kida managed to isolate an unstable ti periodic solution in plane Couette flow that had been s gested by the work of Hamiltonet al.14,21 Hamilton et al. P license or copyright; see http://pof.aip.org/pof/copyright.jsp e art of a rns ut Re led p- able -”
• Turbulence transition in pipe flow (2007, methodology): “Some periodic solutions for plane Couette flow have already been found (Kawahara & Kida 2001, Toh & Itano 2003).”
• Recurrent motions within plane Couette turbulence (2006, methodology): “…et al. 1962; Kline et al. 1967; Smith & Metzler 1983; Acarlar & Smith 1987; Bech et al. 1995) and computational or theoretical studies (Hamilton, Kim & Waleffe 1995; Holmes, Lumley & Berkooz 1996; Itano & Toh 2001, 2005; Kawahara & Kida 2001; Schoppa & Hussain 2002; Jiménez et al. 2005).”
• Interaction between a large-scale structure and near-wall structures in channel flow (2005, background): “…has been established by direct numerical simulation (DNS) of filtered flows (Jiménez & Simens 2001), the discovery of travelling-wave solutions (Waleffe 1998, 2001, 2003; Itano & Toh 2001) and time-periodic solutions (Kawahara & Kida 2001; Toh & Itano 2003) of the Navier–Stokes equations.”
• Visualizing the geometry of state space in plane Couette flow (2007, methodology): “The periodic orbits of Kawahara & Kida (2001) and Viswanath (2007b) appear to be embedded in plane Couette flow’s natural ergodic measure, and most of them capture basic statistics more closely than the equilibria.”