Wall-bounded turbulence exhibits patterns that persist in time and space: coherent
structures. These are important for transport processes and form a conceptual framework for …

Pipe flow and many other shear flows show a transition to turbulence at flow rates for which
the laminar profile is stable against infinitesimal perturbations. In this brief review the recent …

The present work presents a number of parallel and spatially developing simulations of
boundary layers to address the question of whether hairpin vortices are a dominant feature …

Rotor-stator cavity flows are known to exhibit unsteady flow structures in the form of circular
and spiral rolls. While the origin of the spirals is well understood, that of the circular rolls is …

In this essay, we recall the specificities of the transition to turbulence in wall-bounded flows
and present recent achievements in the understanding of this problem. The transition is …

We demonstrate the existence of an exact invariant solution to the Navier–Stokes equations
for the asymptotic suction boundary layer. The identified periodic orbit with a very long …

We study localised exact coherent structures in plane Poiseuille flow that are relative
periodic orbits. They are obtained from extended states in smaller periodically continued …

We present an equilibrium solution of plane Couette flow that is exponentially localized in
both the spanwise and streamwise directions. The solution is similar in size and structure to …

Plane Couette flow at Reynolds number (based on the channel half-height and half the
velocity difference between the top and bottom plates) is investigated with a spatial domain …

Our concern in this paper is with high-Reynolds-number nonlinear equilibrium solutions of
the Navier–Stokes equations for boundary-layer flows. Here we consider the asymptotic …