What question did this study set out to answer?

To explore the mechanisms behind energy movement in turbulent flows and understand the role of coherent structures and intermittency.

March 5, 2026Open Access

A GS-RS Decomposition of Turbulence: Tension-Driven Cascades, Constant Flux, and Intermittency

Key Points

To explore the mechanisms behind energy movement in turbulent flows and understand the role of coherent structures and intermittency.
Review of classical turbulence theories like Kolmogorov’s 1941 theory.
Analysis of energy transfer across different scales.
Examination of the relationship between coherent structures and turbulence.
Identified gaps in the current understanding of turbulence energy dynamics.
Highlighted the coexistence of orderly patterns and chaotic behavior.
Affirmed the need for a deeper mechanistic exploration beyond existing statistical models.

Abstract

Turbulence remains one of the most persistent and unresolved problems in classical physics. Even after decades of progress in numerical simulation and statistical theory, we still lack a clear mechanistic explanation for how energy moves across scales, why coherent structures coexist with disorder, and how intermittency emerges so universally. Kolmogorov’s 1941 theory captures the statistical scaling of the inertial range, but it does not identify the internal degrees of freedom responsible for the cascade itself.

A GS-RS Decomposition of Turbulence: Tension-Driven Cascades, Constant Flux, and Intermittency

Key Points

Abstract

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