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Extreme events and instantons in Lagrangian passive scalar turbulence models
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Alqahtani, Mnerh, Grigorio, Leonardo and Grafke, Tobias (2022) Extreme events and instantons in Lagrangian passive scalar turbulence models. Physical Review E, 106 (1). 015101. doi:10.1103/physreve.106.015101 ISSN 1539-3755.
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Official URL: https://doi.org/10.1103/physreve.106.015101
Abstract
The advection and mixing of a scalar quantity by fluid flow is an important problem in engineering and natural sciences. The statistics of the passive scalar exhibit complex behavior even in the presence of a Gaussian velocity field. This paper is concerned with two Lagrangian turbulence models that are based on the recent fluid deformation model, but adding a passive scalar field with uniform mean gradient. For a range of Reynolds numbers, these models can reproduce the statistics of passive scalar turbulence. For these models, we demonstrate how events of extreme passive scalar gradients can be recovered by computing the instanton, i.e., the saddle-point configuration of the associated stochastic field theory. It allows us to both reproduce the heavy-tailed statistics associated with passive scalar turbulence, and recover the most likely mechanism leading to such extreme events. We further demonstrate that events of large negative strain in these models undergo spontaneous symmetry breaking.
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
Library of Congress Subject Headings (LCSH): | Lagrange spectrum , Gaussian processes, Reynolds number , Viscous flow , Turbulence. | ||||||||||||
Journal or Publication Title: | Physical Review E | ||||||||||||
Publisher: | American Physical Society | ||||||||||||
ISSN: | 1539-3755 | ||||||||||||
Official Date: | 1 July 2022 | ||||||||||||
Dates: |
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Volume: | 106 | ||||||||||||
Number: | 1 | ||||||||||||
Article Number: | 015101 | ||||||||||||
DOI: | 10.1103/physreve.106.015101 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
Copyright Holders: | © 2022 American Physical Society | ||||||||||||
Date of first compliant deposit: | 25 April 2022 | ||||||||||||
Date of first compliant Open Access: | 25 April 2022 | ||||||||||||
RIOXX Funder/Project Grant: |
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