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Related Experiment Video

Updated: Jan 16, 2026

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow

Published on: February 27, 2016

Gradient vortex dynamics in 3D-weak turbulence.

Rubens A Sautter¹, Reinaldo R Rosa², Debora C Alavarce³

¹Academic Department of Informatics, UTFPR, Pato Branco, PR, 85503-390, Brazil. rubenssautter@utfpr.edu.br.

Scientific Reports

|September 30, 2025

Summary

This summary is machine-generated.

This study introduces a novel, low-cost method to analyze 3D vortex dynamics in weak turbulence. The phase-gradient analysis reveals distinct regimes of vortex formation and helical patterns in turbulent flows.

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Last Updated: Jan 16, 2026

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Published on: February 27, 2016

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Published on: July 19, 2016

Area of Science:

Fluid Dynamics
Nonlinear Dynamics
Computational Physics

Background:

Vortex dynamics are crucial in physical and chemical turbulent processes.
Understanding 3D vortex emergence in weak turbulence is challenging.
Current methods for analyzing vortex dynamics can be computationally intensive.

Purpose of the Study:

To develop a computationally efficient method for characterizing 3D vortex ring formation and screw-like patterns.
To analyze gradient vortex dynamics using phase fluctuations in gradient patterns.
To investigate transient primary structures generated by the Complex Ginzburg-Landau equation.

Main Methods:

Analysis of gradient vortex dynamics by measuring phase fluctuations in 3D amplitude-derived gradient patterns.
Simulation of transient structures using the Complex Ginzburg-Landau amplitude equation.
Integration of gradient pattern analysis with spectral measurements and recurrence plots.

Main Results:

A novel association between phase turbulence and helical oscillations induced by vorticity was established.
Phase-gradient analysis and aspect ratio measurements identified at least four distinct regimes of vortex dynamics.
Spectral measurements and recurrence plots were introduced as tools for characterizing weak turbulence and spatiotemporal chaos.

Conclusions:

The developed method offers new insights into the interplay between phase turbulence and vortex dynamics.
This approach provides a new perspective for studying the formation of 3D coherent structures.
This research presents the first detailed simulation, visualization, and analysis of 3D screw dynamics in phase turbulence.