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 "statistically preserved structures" which are associated with exact conservation laws. The latter can be used, for example, to determine the value of the anomalous scaling exponent of the second order structure function. The approach is equally applicable to shell models and to the Navier-Stokes equations.

Angheluta, L., Benzi, R., Biferale, L., Procaccia, I., Toschi, F. (2006). Anomalous scaling exponents in nonlinear models of turbulence. PHYSICAL REVIEW LETTERS, 97(16) [10.1103/PhysRevLett.97.160601].

Anomalous scaling exponents in nonlinear models of turbulence

BENZI, ROBERTO;BIFERALE, LUCA;
2006-01-01

Abstract

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 "statistically preserved structures" which are associated with exact conservation laws. The latter can be used, for example, to determine the value of the anomalous scaling exponent of the second order structure function. The approach is equally applicable to shell models and to the Navier-Stokes equations.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
English
Con Impact Factor ISI
Inverse problems; Mathematical models; Molecular structure; Navier Stokes equations; Statistical methods; Anomalous scaling exponent; Linear models; Nonlinear models; Nonlinear problems; Structure functions; Turbulence
Angheluta, L., Benzi, R., Biferale, L., Procaccia, I., Toschi, F. (2006). Anomalous scaling exponents in nonlinear models of turbulence. PHYSICAL REVIEW LETTERS, 97(16) [10.1103/PhysRevLett.97.160601].
Angheluta, L; Benzi, R; Biferale, L; Procaccia, I; Toschi, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/39076
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