Control and instanton trajectories for random transitions in turbulent flows

Freddy Bouchet*, Jason Laurie, Oleg Zaboronski

*Corresponding author for this work

Research output: Contribution to journalConference article

Abstract

Many turbulent systems exhibit random switches between qualitatively different attractors. The transition between these bistable states is often an extremely rare event, that can not be computed through DNS, due to complexity limitations. We present results for the calculation of instanton trajectories (a control problem) between non-equilibrium stationary states (attractors) in the 2D stochastic Navier-Stokes equations. By representing the transition probability between two states using a path integral formulation, we can compute the most probable trajectory (instanton) joining two non-equilibrium stationary states. Technically, this is equivalent to the minimization of an action, which can be related to a fluid mechanics control problem.

Original languageEnglish
Article number022041
JournalJournal of Physics: Conference Series
Volume318
Issue numberSECTION 2
DOIs
Publication statusPublished - 1 Jan 2011
Event13th European Turbulence Conference, ETC13 - Warsaw, Poland
Duration: 12 Sep 201115 Sep 2011

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