On the decay of turbulence in plane Couette flow

Abstract

The decay of turbulent and laminar oblique bands in the lower transitional range of plane Couette flow is studied by means of direct numerical simulations of the Navier--Stokes equations. We consider systems that are extended enough for several bands to exist, thanks to mild wall-normal under-resolution considered as a consistent and well-validated modelling strategy. We point out a two-stage process involving the rupture of a band followed by a slow regression of the fragments left. Previous approaches to turbulence decay in wall-bounded flows making use of the chaotic transient paradigm are reinterpreted within a spatiotemporal perspective in terms of large deviations of an underlying stochastic process.

ETC13 Conference Proceedings, 6 pages, 5 figures

References in corpus (8)

• Computational Study of Turbulent-Laminar Patterns in Couette Flow
• Simplifying the complexity of pipe flow
• From temporal to spatiotemporal dynamics in transitional plane Couette flow
• Spatiotemporal perspective on the decay of turbulence in wall-bounded flows
• Modeling transitional plane Couette flow
• Large scale flow around turbulent spots
• Ginzburg--Landau description of laminar-turbulent oblique band formation in transitional plane Couette flow
• Pattern fluctuations in transitional plane Couette flow

Cited by in corpus (12)

• Transition to turbulence in wall-bounded flows: Where do we stand?
• On the transition to turbulence of wall-bounded flows in general, and plane Couette flow in particular
• Statistical transition to turbulence in plane channel flow
• Extreme events in transitional turbulence
• Collapse of transitional wall turbulence captured using a rare events algorithm
• Mechanical and statistical study of the laminar hole formation in transitional plane Couette flow
• Formation of spanwise vorticy in oblique turbulent bands of transitional plane Couette flow, part 1: Numerical experiments
• Far field of turbulent spots
• Pattern preservation during the decay and growth of localized wave packet in two-dimensional channel flow
• Formation of spanwise vorticity in oblique turbulent bands of transitional plane Couette flow, part 2: modelling and stability analysis
• Turbulent spot growth in plane Couette flow: statistical study and formation of spanwise vorticity
• Finite size analysis of a double crossover in transitional wall turbulence