Stochastic analysis of the time evolution of laminar-turbulent bands of plane Couette flow

  title={Stochastic analysis of the time evolution of laminar-turbulent bands of plane Couette flow},
  author={J. Rolland},
  journal={The European Physical Journal E},
  • J. Rolland
  • Published 2015
  • Physics, Medicine
  • The European Physical Journal E
Abstract.This article is concerned with the time evolution of the oblique laminar-turbulent bands of transitional plane Couette flow under the influence of turbulent noise. Our study is focused on the amplitude of modulation of turbulence (the bands). In order to guide the numerical study of the flow, we first perform an analytical and numerical analysis of a Stochastic Ginzburg-Landau (GL) equation for a complex order parameter. The modulus of this order parameter models the amplitude of… Expand
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  • J. Philip, P. Manneville
  • Mathematics, Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2011
There exists a streamwise crossover size of order L{x}~70-80 h beyond which the transition to or from turbulence in PCF is undoubtedly a spatiotemporal process, with typical scenario turbulent flow→riddled regime→oblique pattern→ laminar flow, whereas below that size it is more a temporal process describable in terms of finite-dimensional dynamical systems. Expand
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