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Control and instanton trajectories for random transitions in turbulent flows
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Bouchet, Freddy, Laurie, Jason and Zaboronski, Oleg V.. (2011) Control and instanton trajectories for random transitions in turbulent flows. Journal of Physics: Conference Series, Vol.318 (No.2). 022041. ISSN 1742-6596
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Official URL: http://dx.doi.org/10.1088/1742-6596/318/2/022041
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.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Journal of Physics: Conference Series |
| Publisher: | Institute of Physics Publishing Ltd. |
| ISSN: | 1742-6596 |
| Date: | 2011 |
| Volume: | Vol.318 |
| Number: | No.2 |
| Page Range: | 022041 |
| Identification Number: | 10.1088/1742-6596/318/2/022041 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Description: | 13th European Turbulence Conference (ETC13) 12–15 September 2011, Warsaw |
| URI: | http://wrap.warwick.ac.uk/id/eprint/48217 |
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