Multi-scale Correlation Functions in Strong Turbulence
Jahanshah Davoudi, M. Reza Rahimi Tabar
TL;DR
This paper analytically calculates multi-scale correlation functions in strong turbulence, supporting fusion rules and the Markovian cascade model with experimental consistency, advancing understanding of turbulence intermittency.
Contribution
It provides an analytical support for fusion rules and the Markovian cascade model in turbulence, linking theory with experimental observations.
Findings
Fusion rules are compatible with uncorrelated multiplicative processes.
Analytical calculations support the Markovian cascade model.
Results align with experimental data on turbulence intermittency.
Abstract
Under the framework of V. Yakhot [Phys.Rev.E, {\bf57}, 1737 (1998)] modelling of intermittent structure functions in fully developed turbulence and based on the experimentally supported Markovian nature of turbulence cascades [R.Friedrich and J.Peinke, Phys.Rev.Lett, {\bf 78}, 863 (1997)], we calculate the multiscaling correlation functions. Fusion rules [V.S.L'vov and I. Procaccia, Phys.Rev.Lett. {\bf 76}, 2898 (1996)] which are experimentally tested [R. Benzi, L. Biferale, and F. Toschi, Phys.Rev.Lett. {\bf 80}, 3244 (1998)] to be compatible with almost uncorrelated multiplicative process can analyticaly be supported by direct calculations.
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