Multi-time, multi-scale correlation functions in turbulence and in turbulent models

Details Multi-time, multi-scale correlation functions in turbulence and in turbulent models Multi-time, multi-scale correlation functions in turbulence and in turbulent models

1998-04-22

arxiv.org/abs/chao-dyn/9804035v1

Physica D, 127 (1999) 187-197.

Nonlinear Sciences

Chaotic Dynamics

18 pages, 4 eps figures

Scientific paper

10.1016/S0167-2789(98)00277-2

A multifractal-like representation for multi-time multi-scale velocity correlation in turbulence and dynamical turbulent models is proposed. The importance of subleading contributions to time correlations is highlighted. The fulfillment of the dynamical constraints due to the equations of motion is thoroughly discussed. The prediction stemming from this representation are tested within the framework of shell models for turbulence.

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