This paper investigates the dynamics of unidirectionally propagating surface Alfvén waves, employing magnetohydrodynamic numerical simulations and statistical methodologies. The primary goal of this work is to enhance our understanding of the nonlinear self-cascade of surface Alfvén waves, which we term as uniturbulence, by unraveling the complex relationships between various length scales and their interplay with turbulent energy transfer mechanisms. To achieve this, we extensively analyze the phenomenon of uniturbulence using methods such as power spectrum analysis, radially averaged Fourier transform, and kurtosis. We employ these techniques to investigate the spatiotemporal distributions of kinetic and magnetic energy in uniturbulent flows. We also reveal the crucial role of the density contrast's variations and the role of Yaglom's law in characterizing energy transfer mechanisms. Our findings reveal that the inertial range of the perpendicular kinetic energy and magnetic energy along the z-axis depicts a progressive change in slope values, ultimately approaching the often-observed values of −5/3 and −3/2, respectively. Furthermore, our kurtosis analysis highlights the non-Gaussian behavior of the flow field at different length scales and over time, offering a perspective on uniturbulence dynamics. The correlations observed among diverse statistical approaches emphasize the complex interplay between different length scales in the context of uniturbulence. Our findings contribute to understanding this phenomenon, establishing a basis for future investigations to clarify the connections regulating these turbulent dynamics.

Uniturbulence statistics and analysis of factors influencing the energy spectrum / Ismayilli, Rajab; Van Doorsselaere, Tom; Magyar, Norbert; Changmai, Madhurjya; Verdini, Andrea. - In: PHYSICS OF FLUIDS. - ISSN 1070-6631. - ELETTRONICO. - 36:(2024), pp. 065109.0-065109.0. [10.1063/5.0203040]

Uniturbulence statistics and analysis of factors influencing the energy spectrum

Verdini, Andrea
2024

Abstract

This paper investigates the dynamics of unidirectionally propagating surface Alfvén waves, employing magnetohydrodynamic numerical simulations and statistical methodologies. The primary goal of this work is to enhance our understanding of the nonlinear self-cascade of surface Alfvén waves, which we term as uniturbulence, by unraveling the complex relationships between various length scales and their interplay with turbulent energy transfer mechanisms. To achieve this, we extensively analyze the phenomenon of uniturbulence using methods such as power spectrum analysis, radially averaged Fourier transform, and kurtosis. We employ these techniques to investigate the spatiotemporal distributions of kinetic and magnetic energy in uniturbulent flows. We also reveal the crucial role of the density contrast's variations and the role of Yaglom's law in characterizing energy transfer mechanisms. Our findings reveal that the inertial range of the perpendicular kinetic energy and magnetic energy along the z-axis depicts a progressive change in slope values, ultimately approaching the often-observed values of −5/3 and −3/2, respectively. Furthermore, our kurtosis analysis highlights the non-Gaussian behavior of the flow field at different length scales and over time, offering a perspective on uniturbulence dynamics. The correlations observed among diverse statistical approaches emphasize the complex interplay between different length scales in the context of uniturbulence. Our findings contribute to understanding this phenomenon, establishing a basis for future investigations to clarify the connections regulating these turbulent dynamics.
2024
36
0
0
Ismayilli, Rajab; Van Doorsselaere, Tom; Magyar, Norbert; Changmai, Madhurjya; Verdini, Andrea
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1368532
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