Nature of laminar-turbulence intermittency in shear flows Journal Article

Author(s): Avila, Marc; Hof, Björn
Article Title: Nature of laminar-turbulence intermittency in shear flows
Affiliation IST Austria
Abstract: In pipe, channel, and boundary layer flows turbulence first occurs intermittently in space and time: at moderate Reynolds numbers domains of disordered turbulent motion are separated by quiescent laminar regions. Based on direct numerical simulations of pipe flow we argue here that the spatial intermittency has its origin in a nearest neighbor interaction between turbulent regions. We further show that in this regime turbulent flows are intrinsically intermittent with a well-defined equilibrium turbulent fraction but without ever assuming a steady pattern. This transition scenario is analogous to that found in simple models such as coupled map lattices. The scaling observed implies that laminar intermissions of the turbulent flow will persist to arbitrarily large Reynolds numbers.
Journal Title: Physical Review E Statistical Nonlinear and Soft Matter Physics
Volume: 87
Issue 6
ISSN: 1539-3755
Publisher: American Institute of Physics  
Date Published: 2013-06-01
Start Page: Article number: 063012
DOI: 10.1103/PhysRevE.87.063012
Notes: We thank A. P. Willis for sharing his hybrid spectral finite-difference code. We thank K. Avila for correcting our interpretation of Rotta's paper in an earlier draft. We are grateful to D. Barkley, N. Goldenfeld, M. Holzner, A. de Lozar, and A. P. Willis for discussions. The research leading to these results has received funding from the Max Planck Society and the European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013)/ERC Grant Agreement 306589. We acknowledge computing resources from GWDG and the Jülich Supercomputing Centre (grant HGU16).
Open access: yes (repository)
IST Austria Authors
  1. Björn Hof
    46 Hof
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