1 1 M ay 2 01 5 Crisis bifurcations in plane Poiseuille flow

نویسنده

  • Bruno Eckhardt
چکیده

Many shear flows follow a route to turbulence that has striking similarities to bifurcation scenarios in low-dimensional dynamical systems. Among the bifurcations that appear, crisis bifurcations are important because they cause global transitions between open and closed attractors, or indicate drastic increases in the range of the state space that is covered by the dynamics. We here study exterior and interior crisis bifurcations in direct numerical simulations of transitional plane Poiseuille flow in a mirror-symmetric subspace. We trace the state space dynamics from the appearance of the first three-dimensional exact coherent structures to the transition from an attractor to a chaotic saddle in an exterior crisis. For intermediate Reynolds numbers, the attractor undergoes several interior crises, in which new states appear and intermittent behavior can be observed. The bifurcations contribute to increasing the complexity of the dynamics and to a more dense coverage of state space.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Effect of Variable Thermal Conductivity and the Inclined Magnetic Field on MHD Plane Poiseuille Flow in a Porous Channel with Non-Uniform Plate Temperature

The aim of this paper is to investigate the effect of the variable thermal conductivity and the inclined uniform magnetic field on the plane Poiseuille flow of viscous incompressible electrically conducting fluid between two porous plates Joule heating in the presence of a constant pressure gradient through non-uniform plate temperature. It is assumed that the fluid injection occurs at lower pl...

متن کامل

. pl as m - p h ] 1 4 M ay 2 00 5 Two - fluid tokamak equilibria with reversed magnetic shear and sheared flow 1

X iv :p hy si cs /0 50 51 01 v1 [ ph ys ic s. pl as m -p h] 1 4 M ay 2 00 5 Two-fluid tokamak equilibria with reversed magnetic shear and sheared flow 1 G. Poulipoulis, G. N. Throumoulopoulos, H. Tasso University of Ioannina, Association Euratom Hellenic Republic, Section of Theoretical Physics, GR 451 10 Ioannina, Greece Max-Planck-Institut für Plasmaphysik, Euratom Association, D-85748 Garchi...

متن کامل

/ 94 05 01 1 v 1 1 6 M ay 1 99 4 Bifurcations of two coupled classical spin oscillators

Two classical, damped and driven spin oscillators with an isotropic exchange interaction are considered. They represent a nontrivial physical system whose equations of motion are shown to allow for an analytic treatment of local codi-mension 1 and 2 bifurcations. In addition, numerical results are presented which exhibit a Feigenbaum route to chaos.

متن کامل

ar X iv : 1 50 4 . 00 79 1 v 1 [ co nd - m at . s of t ] 3 A pr 2 01 5 Dynamics of flexible fibers in shear flow

Dynamics of flexible non-Brownian fibers in shear flow at low-Reynolds-number are analyzed numerically for a wide range of the ratios A of the fiber bending force to the viscous drag force. Initially, the fibers are aligned with the flow, and later they move in the plane perpendicular to the flow vorticity. A surprisingly rich spectrum of different modes is observed when the value of A is syste...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015