Exact invariant solutions in the near-wall region of boundary layer turbulence
Résumé
In boundary layer flows, small-scale streaky structures with a typical spacing of roughly one hundred wall units dominate the dynamics close the wall, where they control dissipation and wall drag. We investigate near-wall exact invariant solutions of the Navier-Stokes equations which may underly the characteristic near-wall streaks. Invariant solutions for asymptotic suction boundary layer flow (ASBL) are constructed in a minimal flow unit using small-scale filtering approaches. These solutions are a step towards extending the emerging dynamical systems view of turbulence to the near-wall region of boundary layer flows.