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  • Letter
  • Open Access

Uncovering the multifractality of Lagrangian pair dispersion in shock-dominated turbulence

Sadhitro De1,*, Dhrubaditya Mitra2,†, and Rahul Pandit1,‡

  • 1Department of Physics, Indian Institute of Science, Bangalore 560012, India
  • 2Nordita, KTH Royal Institute of Technology and Stockholm University, Hannes Alfvéns väg 12, 10691 Stockholm, Sweden

  • *sadhitrode@iisc.ac.in
  • †dhruba.mitra@gmail.com
  • ‡rahul@iisc.ac.in
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Phys. Rev. Research 6, L022032 – Published 6 May, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L022032

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.

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Phys. Rev. Research 6, L022032– Published 6 May, 2024
  • Received 7 December 2023
  • Accepted 29 March 2024
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