Pipe flow is a prominent example among the shear flows that undergo transition to
turbulence without mediation by a linear instability of the laminar profile. Experiments on …

Recent remarkable progress in computing power and numerical analysis is enabling us to
fill a gap in the dynamical systems approach to turbulence. A significant advance in this …

Experiments and numerical simulations have shown that turbulence in transitional wall-
bounded shear flows frequently takes the form of long oblique bands if the domains are …

Three-dimensional steady states and traveling wave solutions of the Navier–Stokes
equations are computed in plane Couette and Poiseuille flows with both free-slip and no-slip …

The formation of turbulent patterns in plane Couette flow is investigated near the onset of
transition, using numerical simulation in a very large domain of size 800 h× 2 h× 356 h …

Spatial localization is a common feature of physical systems, occurring in both conservative
and dissipative systems. This article reviews the theoretical foundations of our …

Turbulent-laminar patterns near transition are simulated in plane Couette flow using an
extension of the minimal-flow-unit methodology. Computational domains are of minimal size …

Chimera states consisting of domains of coherently and incoherently oscillating identical
oscillators with nonlocal coupling are studied. These states usually coexist with the fully …

Direct numerical simulation (DNS) of a fully developed turbulent channel flow for very low
Reynods numbers has been executed with larger computational box-sizes than those of …

We report experimental evidence of a global bifurcation on a highly turbulent von Kármán
flow. The mean flow presents multiple solutions: the canonical symmetric solution becomes …