論文

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2019年4月7日

Subcritical transition to turbulence in wall-bounded flows: the case of plane Poiseuille flow

  • Paul Manneville
  • ,
  • Masaki Shimizu

In wall-bounded flows, the laminar regime remain linearly stable up to large
values of the Reynolds number while competing with nonlinear turbulent
solutions issued from finite amplitude perturbations. The transition to
turbulence of plane channel flow (plane Poiseuille flow) is more specifically
considered via numerical simulations. Previous conflicting observations are
reconciled by noting that the two-dimensional directed percolation scenario
expected for the decay of turbulence may be interrupted by a symmetry-breaking
bifurcation favoring localized turbulent bands. At the other end of the
transitional range, a preliminary study suggests that the laminar-turbulent
pattern leaves room to a featureless regime beyond a well defined threshold to
be determined with precision.

リンク情報
arXiv
http://arxiv.org/abs/arXiv:1904.03739
URL
http://arxiv.org/abs/1904.03739v1
URL
http://arxiv.org/pdf/1904.03739v1 本文へのリンクあり

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