Locality of triad interaction and Kolmogorov constant in inertial wave turbulence

Autor:	David, Vincent, Galtier, Sébastien
Rok vydání:	2022
Předmět:	Physics - Fluid Dynamics Mathematical Physics Nonlinear Sciences - Chaotic Dynamics Physics - Atmospheric and Oceanic Physics Physics - Geophysics
Druh dokumentu:	Working Paper
DOI:	10.1017/jfm.2022.1073
Popis:	Using the theory of wave turbulence for rapidly rotating incompressible fluids derived by Galtier (2003), we find the locality conditions that the solutions of the kinetic equation must satisfy. We show that the exact anisotropic Kolmogorov-Zakharov (KZ) spectrum satisfies these conditions, which justifies the existence of this constant (positive) energy flux solution. Although a direct cascade is predicted in the transverse ($\perp$) and parallel ($\parallel$) directions to the rotation axis, we show numerically that in the latter case some triadic interactions can have a negative contribution to the energy flux, while in the former case all interactions contribute to a positive flux. Neglecting the parallel energy flux, we estimate the Kolmogorov constant at $C_K \simeq 0.749$. These results provide theoretical support for recent numerical and experimental studies. Comment: 10 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.04995 Zobrazit plný text záznamu View this record from Arxiv