2024/02/12 by James Creswell, Creswell, James, Viatcheslav Mukhanov +3
Earth and Planetary Sciences · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #High Energy Astrophysical Phenomena (astro-ph.HE) #Oceanographic and Atmospheric Processes
paper · pdf · doi:10.48550/arxiv.2402.07813
openalex publication_date 2024/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Shell model turbulence is a simplified mathematical framework that captures essential features of incompressible fluid turbulence such as the energy cascade, intermittency and anomalous scaling of the fluid observables. We perform a precision analysis of shell model of a complex velocity field in the steady state turbulent regime, including a calculation of the leading hundred anomalous scaling exponents, the probability distribution function of the magnitude and phase of the velocity and the correlations among them at different shells. We analyze the tail of velocity distribution function and find that the high moments exhibit a linear scaling that differs from Kolomogorov's. We explain the origin of this asymptotic scaling that offers a new insight to the structure of fluid turbulence.