Energy Transfer Dynamics Generated by Non-Axisymmetric Tornado-Type Flows
Analysis of PDEs
2025-09-09 v1 Numerical Analysis
Numerical Analysis
Fluid Dynamics
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.
Cite
@article{arxiv.2509.05546,
title = {Energy Transfer Dynamics Generated by Non-Axisymmetric Tornado-Type Flows},
author = {Afifah Maya Iknaningrum and Pen-Yuan Hsu and Tsuyoshi Yoneda and Hirofumi Notsu},
journal= {arXiv preprint arXiv:2509.05546},
year = {2025}
}
Comments
15 pages, 15 figures