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Turbulent Flow

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Updated: Jun 5, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Structures in magnetohydrodynamic turbulence: detection and scaling.

V M Uritsky¹, A Pouquet, D Rosenberg

¹Physics and Astronomy Department, University of Calgary, Calgary, Alberta T2N1N4, Canada.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|January 15, 2011

Summary

Cluster analysis reveals similar statistical properties for turbulent current and vorticity structures in decaying magnetohydrodynamic turbulence. These findings highlight self-organized criticality in the dissipative range and suggest turbulence dynamics govern the inertial range.

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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

Area of Science:

* Physics
* Fluid Dynamics
* Plasma Physics

Background:

* Decaying three-dimensional magnetohydrodynamic (MHD) turbulence is investigated in the absence of an imposed magnetic field.
* Simulations utilize a magnetic Prandtl number of unity and high-resolution grids (up to 1536³).
* Initial conditions include Orszag-Tang vortex and Arn'old-Beltrami-Childress configurations.

Purpose of the Study:

* To systematically analyze statistical properties of turbulent current and vorticity structures using cluster analysis.
* To compare these properties across different initial conditions and simulation snapshots.
* To investigate the influence of Reynolds number and velocity-magnetic field correlations on structure statistics.

Main Methods:

* Numerical simulations of decaying 3D MHD turbulence.
* Cluster analysis applied to identify and statistically characterize turbulent structures.
* Analysis of simulation data at two time snapshots after peak dissipation.

Main Results:

* Cluster analysis successfully identified over 8000 structures per snapshot.
* Statistical properties and scaling laws of current and vorticity clusters were remarkably similar across different conditions.
* Self-organized criticality was identified in the dissipative scales, with a distinct scaling in the inertial range.

Conclusions:

* The statistical behavior of turbulent current and vorticity structures is consistent across different initial conditions and simulation times.
* Dissipative scales exhibit self-organized criticality, while inertial scales may be governed by turbulence dynamics.
* Intermittency is proposed to result from the propagation of local instabilities.