Exact coherent structures at extreme Reynolds number

Academic Article


  • Exact coherent structures (ECS), unstable three-dimensional solutions of the Navier–Stokes equations, play a fundamental role in transitional and turbulent wall flows. Dempsey et al. (J. Fluid Mech., vol. 791, 2016, pp. 97–121) demonstrate that at large Reynolds number reduced equations can be derived that simplify the computation and facilitate mechanistic understanding of these solutions. Their analysis shows that ECS in plane Poiseuille flow can be sustained by a novel inner–outer interaction between oblique near-wall Tollmien–Schlichting waves and interior streamwise vortices.
  • Authors


    Publication Date

  • May 2016
  • Has Subject Area

    Published In


  • mathematical foundations
  • nonlinear instability
  • transition to turbulence
  • Digital Object Identifier (doi)

    Start Page

  • 1
  • End Page

  • 4
  • Volume

  • 794