https://doi.org/10.1140/epjb/e2007-00243-y
Modeling transitional plane Couette flow
Laboratoire d'Hydrodynamique (LadHyX), CNRS-École Polytechnique, 91128 Palaiseau, France
Corresponding author: a paul.manneville@ladhyx.polytechnique.fr
Received:
6
December
2006
Revised:
26
July
2007
Published online:
22
September
2007
The Galerkin method is used to derive a realistic model of plane Couette flow in terms of partial differential equations governing the space-time dependence of the amplitude of a few cross-stream modes. Numerical simulations show that it reproduces the globally sub-critical behavior typical of this flow. In particular, the statistics of turbulent transients at decay from turbulent to laminar flow displays striking similarities with experimental findings.
PACS: 47.27.Cn – Transition to turbulence / 47.20.Ky – Nonlinearity, bifurcation, and symmetry breaking / 05.45.Jn – High-dimensional chaos / 02.70.Dh – Finite-element and Galerkin methods
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007
