Volumetric Theory of Intermittency in Fully Developed Turbulence
نویسندگان
چکیده
This study introduces a new family of volumetric flatness factors which give rigorous parametric description the phenomenon intermittency in fully developed turbulent flows. These quantities gather information about most "active" part velocity field at each scale $\ell$, and allows one to define dimension function $p \to D_p$ that recovers correction structure exponents $\zeta_p$ an explicit way. In particular, predictions Frisch-Parisi multifractal formalism can be recovered systematic Within this framework we identify active regions carry energetic given $\ell$. A threshold for what constitutes is defined explicitly. Active have proven experimentally observable our previous joint work \cite{Ph-paper}, shown capture concentration energy cascade as $\ell 0$, \cite{CS2014}. We present several examples fields exhibit arbitrary spectrum within theoretically permitted limitations. At same time demonstrate with use probabilistic argument random expected produce classical K41 limit $\ell\to 0$. Intermittent deviations from theory are estimated any finite also. Lastly, detailed information-theoretic analysis introduced objects. quantify source-field terms volume factors, thresholds, regions.
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2023
ISSN: ['0003-9527', '1432-0673']
DOI: https://doi.org/10.1007/s00205-023-01878-5