In this work, we calculate the self-similar longitudinal velocity correlation function and the statistics of the velocity difference, using the results of the Lyapunov analysis of the fully developed isotropic homogeneous turbulence just presented by the author in a previous work (de Divitiis, Theor Comput Fluid Dyn, doi: 10.1007/s00162-010-0211-9). There, a closure of the von Karman-Howarth equation is proposed and the statistics of velocity difference is determined through a specific statistical analysis of the Fourier-transformed Navier-Stokes equations. The longitudinal correlation functions correspond to steady-state solutions of the von Karman-Howarth equation under the self-similarity hypothesis introduced by von Karman. These solutions and the corresponding statistics of the velocity difference are numerically determined for different Taylor-scale Reynolds numbers. The obtained results adequately describe the several properties of the fully developed isotropic turbulence.

Self-similarity in fully developed homogeneous isotropic turbulence using the lyapunov analysis / DE DIVITIIS, Nicola. - In: THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS. - ISSN 0935-4964. - 26:1-4(2012), pp. 81-92. [10.1007/s00162-010-0213-7]

Self-similarity in fully developed homogeneous isotropic turbulence using the lyapunov analysis

DE DIVITIIS, Nicola
2012

Abstract

In this work, we calculate the self-similar longitudinal velocity correlation function and the statistics of the velocity difference, using the results of the Lyapunov analysis of the fully developed isotropic homogeneous turbulence just presented by the author in a previous work (de Divitiis, Theor Comput Fluid Dyn, doi: 10.1007/s00162-010-0211-9). There, a closure of the von Karman-Howarth equation is proposed and the statistics of velocity difference is determined through a specific statistical analysis of the Fourier-transformed Navier-Stokes equations. The longitudinal correlation functions correspond to steady-state solutions of the von Karman-Howarth equation under the self-similarity hypothesis introduced by von Karman. These solutions and the corresponding statistics of the velocity difference are numerically determined for different Taylor-scale Reynolds numbers. The obtained results adequately describe the several properties of the fully developed isotropic turbulence.
2012
lyapunov analysis; self-similarity; velocity difference statistics; von karman-howarth equation; von kármán-howarth equation
01 Pubblicazione su rivista::01a Articolo in rivista
Self-similarity in fully developed homogeneous isotropic turbulence using the lyapunov analysis / DE DIVITIIS, Nicola. - In: THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS. - ISSN 0935-4964. - 26:1-4(2012), pp. 81-92. [10.1007/s00162-010-0213-7]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/46747
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