Noise induced intermittency in a model of a turbulent boundary layer

Emily Stone, Philip Holmes

Research output: Contribution to journalArticlepeer-review

Abstract

The presence of attracting heteroclinic cycles in a set of truncated ordinary differential equations for the modal amplitudes in a proper orthogonal decomposition of the Navier-Stokes equations leads to "burst"-like, intermittent phenomenon in the reconstructed velocity field. The time between bursts, or the cycle time, is effectively randomized by the addition of small random perturbations, in this case taking the form of irregular pressure fluctuations from the outer flow. This suggests that interaction of the inner and outer flow is important in the generation and triggering of these burst events. A scaling law is developed for the time between burst events as well as an expression for the probability distribution of these time intervals.

Original languageEnglish
Pages (from-to)20-32
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Volume37
Issue number1-3
DOIs
StatePublished - Jul 1989

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