Anomalous scaling in a shell model of helical turbulence
نویسندگان
چکیده
In a helical flow there is a subrange of the inertial range in which there is a cascade of both energy and helicity. In this range the scaling exponents associated with the cascade of helicity can be defined. These scaling exponents are calculated from a simulation of the GOY shell model. The scaling exponents for even moments are associated with the scaling of the symmetric part of the probability density functions while the odd moments are associated with the anti-symmetric part of the probability density functions.
منابع مشابه
Hamiltonian structure of the Sabra shell model of turbulence : Exact calculation of an anomalous scaling exponentV
{ We show that the Sabra shell model of turbulence, which was introduced recently, displays a Hamiltonian structure for given values of the parameters. The requirement of scale independence of the ux of this Hamiltonian allows us to compute exactly a one-parameter family of anomalous scaling exponents associated with 4th-order correlation functions. The eld of turbulence and turbulent statistic...
متن کاملAnomalous scaling exponents in nonlinear models of turbulence.
We propose a new approach to the old-standing problem of the anomaly of the scaling exponents of nonlinear models of turbulence. We construct, for any given nonlinear model, a linear model of passive advection of an auxiliary field whose anomalous scaling exponents are the same as the scaling exponents of the nonlinear problem. The statistics of the auxiliary linear model are dominated by "stat...
متن کاملComputation of anomalous scaling exponents of turbulence from self-similar instanton dynamics.
We show that multiscaling properties of developed turbulence in shell models, which lead to anomalous scaling exponents in the inertial range, are determined exclusively by instanton dynamics. Instantons represent correlated extreme events localized in space-time, whose structure is described by self-similar statistics with a single universal scaling exponent. We show that anomalous scaling exp...
متن کاملIntermittency in turbulence: computing the scaling exponents in shell models.
We discuss a stochastic closure for the equation of motion satisfied by multiscale correlation functions in the framework of shell models of turbulence. We present a plausible closure scheme to calculate the anomalous scaling exponents of structure functions by using the exact constraints imposed by the equation of motion. We present an explicit calculation for fifth-order scaling exponent by v...
متن کاملAnalytical and Numerical Study of Certain Models of Turbulence
In my thesis I study two different models of turbulence. The first part of my research concerns the, so-called, shell models of turbulence. Shell models had attracted a lot of interest as useful phenomenological models that mimics certain features of the Navier-Stokes equations (NSE). The shell models capture different aspects of the real turbulent flows, such as the energy cascade, an anomalou...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999