The Library
Extreme events in transitional turbulence
Tools
Tools
Tools
Gomé, Sébastien, Tuckerman, Laurette and Barkley, Dwight (2022) Extreme events in transitional turbulence. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 380 (2226). doi:10.1098/rsta.2021.0036 ISSN 1364-503X.
|
PDF
WRAP-Extreme-events-transitional-turbulence-2022.pdf - Accepted Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (7Mb) | Preview |
Official URL: https://doi.org/10.1098/rsta.2021.0036
Abstract
Transitional localized turbulence in shear flows is known to either decay to an absorbing laminar state or to proliferate via splitting. The average passage times from one state to the other depend super-exponentially on the Reynolds number and lead to a crossing Reynolds number above which proliferation is more likely than decay. In this paper, we apply a rare-event algorithm, Adaptative Multilevel Splitting, to the deterministic Navier–Stokes equations to study transition paths and estimate large passage times in channel flow more efficiently than direct simulations. We establish a connection with extreme value distributions and show that transition between states is mediated by a regime that is self-similar with the Reynolds number. The super-exponential variation of the passage times is linked to the Reynolds number dependence of the parameters of the extreme value distribution. Finally, motivated by instantons from Large Deviation theory, we show that decay or splitting events approach a most-probable pathway.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Fluid mechanics , Fluid mechanics -- Mathematical models, Statistical physics , Turbulence , Transition flow, Shear flow -- Mathematical models | ||||||||
| Journal or Publication Title: | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences | ||||||||
| Publisher: | The Royal Society Publishing | ||||||||
| ISSN: | 1364-503X | ||||||||
| Official Date: | 27 June 2022 | ||||||||
| Dates: |
|
||||||||
| Volume: | 380 | ||||||||
| Number: | 2226 | ||||||||
| DOI: | 10.1098/rsta.2021.0036 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Date of first compliant deposit: | 10 January 2022 | ||||||||
| Date of first compliant Open Access: | 11 January 2022 | ||||||||
| RIOXX Funder/Project Grant: |
|
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
