The Dynamics of Bursting Process in Wall Turbulence

By T. Itano, S. Toh. 2001

213 citations recorded by the source corpus.

Subfields: Atmospheric Science, Computational Mechanics, Global and Planetary Change

View Paper: https://www.semanticscholar.org/paper/de657974b838244c94c20f7ec8249961ad63ee5e

How researchers see this paper

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

In Atmospheric Science

1. Fabian Waleffe
2. Genta Kawahara
3. Rich R. Kerswell
4. Jonathan J. Halcrow
5. J. Gibson
6. Predrag Cvitanović
7. Lennaert van Veen
8. Markus Uhlmann

In Computational Mechanics

1. Rich R. Kerswell
2. Markus Uhlmann
3. Lennaert van Veen
4. Genta Kawahara
5. Jonathan J. Halcrow
6. J. Gibson
7. Predrag Cvitanović
8. Fabian Waleffe

In Global and Planetary Change

1. Rich R. Kerswell
2. Jonathan J. Halcrow
3. J. Gibson
4. Predrag Cvitanović
5. Fabian Waleffe
6. Markus Uhlmann
7. Lennaert van Veen
8. Genta Kawahara

Citations in the corpus

• Exact coherent structures in channel flow (2001, methodology): “The solution approached by Toh & Itano (1999) (see also Itano & Toh 2001) is presumably analogous to the lower branch of solutions illustrated here.”
• The Significance of Simple Invariant Solutions in Turbulent Flows (2011, methodology): “The characteristics of those solutions are now quantitatively compared in Figure 4, which has been adapted from Jiménez et al. (2005) by adding some of the solutions that have been found since then. Each solution is represented by a single point whose coordinates are the maximum values of the stream”
• The instability and breakdown of a near-wall low-speed streak (2002, background): “Itano & Toh (2001) also found a similar travelling-wave solution corresponding to the nonlinear saturation stage of the streak instability for a minimal channel flow.”
• Transition in pipe flow: the saddle structure on the boundary of turbulence (2007, methodology): “The long-time behaviour on Σ has already been found to be a periodic solution in plane Poiseuille flow in a pioneering study by Toh & Itano (1999); see also Itano & Toh (2001).”
• Theoretical perspective on the route to turbulence in a pipe (2016, background): “Edge states are important and much studied in subcritical shear flows (e.g. Itano & Toh 2001; Eckhardt et al. 2007; Duguet et al. 2008; Mellibovsky et al. 2009).”
• Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst (2001, background): “Recently, Itano & Toh (2001) have discovered, by a shooting method, an unstable travelling-wave solution of three-dimensional structure to the Navier–Stokes equation for a plane Poiseuille flow.”
• Interaction between a large-scale structure and near-wall structures in channel flow (2005, methodology): “…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): “Later, traveling waves for pressure-driven channel flow were obtained by Itano & Toh (2001) with a shooting method.”
• Turbulence transition in pipe flow (2007, methodology): “However, coherent states and traveling waves have been identified there as well (Ehrenstein & Koch 1991, Itano & Toh 2001, Waleffe 2003).”