Energy Transfer Dynamics Generated by Non-Axisymmetric Tornado-Type Flows

2025/09/06 by Afifah Maya Iknaningrum, Pen-Yuan Hsu, Iknaningrum, Afifah Maya +5
Earth and Planetary Sciences · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Meteorological Phenomena and Simulations #Numerical Analysis (math.NA) #Solar and Space Plasma Dynamics #Tropical and Extratropical Cyclones Research

paper · pdf · doi:10.48550/arxiv.2509.05546

openalex publication_date 2025/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The energy cascade in turbulence, first statistically described by Richardson (1922) and Kolmogorov (1941), lacked connection to the underlying fluid dynamics. Recent numerical studies of Goto et al. (2017) and Yoneda et al. (2022) revealed scale-local energy transfer via vortex stretching but remained within spatial statistics. This study aims to uncover the time-dependent elementary process behind the energy cascade by constructing a tornado-type flow in a non-axisymmetric curved cylindrical domain. Our approach reveals specific vortex dynamics responsible for energy transfer, offering new insight into the physical mechanisms of turbulence.

Citations

• Error estimates of a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations
• On the identification of a vortex

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