De, S and Mitra, D and Pandit, R (2024) Uncovering the multifractality of Lagrangian pair dispersion in shock-dominated turbulence. In: Physical Review Research, 6 (2).
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Abstract
Lagrangian pair dispersion provides insights into mixing in turbulent flows. By direct numerical simulations (DNSs) we show that the statistics of pair dispersion in the randomly forced two-dimensional Burgers equation, which is a typical model of shock-dominated turbulence, is very different from its incompressible counterpart because Lagrangian particles get trapped in shocks. We develop a heuristic theoretical framework that accounts for this - a generalization of the multifractal model - whose prediction of the scaling of Lagrangian exit times agrees well with our DNS. © 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by "https://www.kb.se/samverkan-och-utveckling/oppen-tillgang-och-bibsamkonsortiet/bibsamkonsortiet.html"Bibsam.
| Item Type: | Journal Article |
|---|---|
| Publication: | Physical Review Research |
| Publisher: | American Physical Society |
| Additional Information: | The copyright for this article belongs to authors. |
| Keywords: | Dispersions; Lagrange multipliers; Partial differential equations, Direct-numerical-simulation; Generalisation; Lagrangian; Lagrangian particles; Models of shocks; Multifractal models; Multifractality; Theoretical framework; Two-dimensional Burger's equation; Typical model, Turbulence |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 03 Jun 2024 09:07 |
| Last Modified: | 03 Jun 2024 09:07 |
| URI: | https://eprints.iisc.ac.in/id/eprint/85117 |
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