Abstract
An approach to intermittency of a shell model turbulence is proposed from the viewpoint of dynamical systems. We detected unstable solutions of the Gledzer-Ohkitani-Yamada shell model and studied their relation to turbulence statistics. One of the solutions has an unstable periodic orbit (UPO), which shows an intermittency where the scaling exponents of the structure function have a nonlinear dependence on its order, quite similar to that of turbulence solution at the same parameter values. The attractor in the phase space is found to be well approximated by a continuous set of solutions generated from the UPO through a one-parameter phase transformation, which implies that the intermittency of the shell model turbulence is described by this UPO.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physical review. E, Statistical, nonlinear, and soft matter physics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
