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- By G. Kawahara, J. Jiménez, M. Uhlmann, A. Pinelli, G. Kawahara
- 1999

Several aspects of the self-sustaining mechanism of near-wall turbulence have been studied recently (see Jiménez & Moin 1991; Hamilton, Kim & Waleffe 1995; Waleffe 1997; Schoppa & Hussain 1997; Jiménez & Pinelli 1998). It is well-known that there are two key structures, streamwise vortices and streaks, in the near-wall region. Streamwise vortices generate… (More)

- Lennaert van Veen, Genta Kawahara
- Physical review letters
- 2011

Experiments and simulations lend mounting evidence for the edge state hypothesis on subcritical transition to turbulence, which asserts that simple states of fluid motion mediate between laminar and turbulent shear flow as their stable manifolds separate the two in state space. In this Letter we describe flows homoclinic to a time-periodic edge state that… (More)

- Lennaert van Veen, Genta Kawahara, Matsumura Atsushi
- SIAM J. Scientific Computing
- 2011

- G. Kawahara, S. Kida, L. van Veen
- 2006

Recently found unstable time-periodic solutions to the incompressible Navier-Stokes equation are reviewed to discuss their relevance to plane Couette turbulence and isotropic turbulence. It is shown that the periodic motion embedded in the Couette turbulence exhibits a regeneration cycle of near-wall coherent structures, which consists of formation and… (More)

We have performed direct numerical simulation of fully developed turbulent flow in a straight duct with square cross-section. The main objective of the present study is to determine the minimal requirements for maintaining turbulence in duct flows [1]. A detailed analysis of this limit regime allows to elucidate the dominant mechanisms governing the… (More)

- M. Uhlmann, G. Kawahara, A. Pinelli
- 2009

Isothermal, incompressible flow in a straight duct with square cross-section is known to be linearly stable [1]. Direct numerical simulation, on the other hand, has revealed that turbulence in this geometry is self-sustained above a Reynolds number value of approximately 1100, based on the bulk velocity and the duct half-width [2]. Numerous non-linear… (More)

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