Self-Similar Solutions in the Homogeneous Isotropic Turbulence

Nicola de Divitiis

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arXiv · 0904.0818

Self-Similar Solutions in the Homogeneous Isotropic Turbulence

Nicola de Divitiis

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Abstract

We calculate the self-similar longitudinal velocity correlation function, the energy spectrum and the corresponding other properties using a theory on the isotropic homogeneous turbulence just presented by the author in a previous work. The correlation functions correspond to steady-state solutions of the evolution equation under the self-similarity hypothesis introduced by von Kármán. These solutions are numerically calculated and the results adequately describe several properties of the isotropic turbulence.

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Nicola de Divitiis. 2009-06-20. Self-Similar Solutions in the Homogeneous Isotropic Turbulence. https://arxiv.org/abs/0904.0818

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