Solvable Intermittent Shell Model of Turbulence
نویسندگان
چکیده
We introduce a shell model of turbulence featuring intermittent behaviour with anomalous power-law scaling structure functions. This is solved analytically the explicit derivation exponents. The solution associates intermittency hidden symmetry for Kolmogorov multipliers, making our approach relevant real turbulence.
منابع مشابه
Anisotropic shell model of turbulence.
An anisotropic shell model has been proposed for two-dimensional (2D) turbulence. It is similar to the 2D version of the Gledzer-Ohkitani-Yamada model but with the angular variable in wave-number space divided into three distinct directions representing structures elongated in different directions. In the case when the drive is isotropic the usual isotropic solution is recovered as the fixed po...
متن کاملStatistical model for intermittent plasma edge turbulence.
The probability distribution function of plasma density fluctuations at the edge of fusion devices is known to be skewed and strongly non-Gaussian. The causes of this peculiar behavior are, up to now, largely unexplored. On the other hand, understanding the origin and the properties of edge turbulence is a key issue in magnetic fusion research. In this paper we show that a stochastic fragmentat...
متن کاملIntermittent Turbulence in a Global Ocean Model
O ne of the hallmarks of turbulence is intermittent behavior, such as the sudden and unpredictable gusts of wind in the north of Scotland. Intermittency is related to the existence of intense and sparse coherent structures, as in atmospheric fronts, hurricanes, and tornadoes, and to small-scale vortex filaments in fully turbulent flows. Intermittent behavior has been observed in the ocean, but ...
متن کاملShell model for buoyancy-driven turbulence.
In this paper we present a unified shell model for stably stratified and convective turbulence. Numerical simulation of this model for stably stratified flow shows Bolgiano-Obukhbov scaling in which the kinetic energy spectrum varies as k(-11/5). The shell model of convective turbulence yields Kolmogorov's spectrum. These results are consistent with the energy flux and energy feed due to buoyan...
متن کاملShell model for quasi-two-dimensional turbulence.
We discuss the possibility to introduce geometrical constraints in shell models of turbulence in order to mimic the turbulent dynamics that takes place in fluid layers with large aspect ratio. By using a scale-dependent set of coupling parameters, we are able to resolve both scales larger and smaller than a geometrical dimension of the flow. The proposed model is able to resolve with high accur...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2021
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-021-04190-z