2011
DOI: 10.1007/s12572-011-0036-9
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Multi-scale turbulence modeling and the maximum information principle

Abstract: We discuss averaged turbulence modeling of multi-scales of length for an incompressible Newtonian fluid, with the help of the maximum information principle. We suppose that there exists a function basis to decompose the turbulent fluctuations in a flow of our concern into the components associated with various spatial scales and that there is a probability density function f of these fluctuation components. The unbiased form for f is determined and the turbulence model is closed, with the multi-scale correlati… Show more

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Cited by 2 publications
(2 citation statements)
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“…The structure of Eqs. (9) provides the ground to introduce the second-order model and the third-order model.…”
Section: Basic Frameworkmentioning
confidence: 99%
See 1 more Smart Citation
“…The structure of Eqs. (9) provides the ground to introduce the second-order model and the third-order model.…”
Section: Basic Frameworkmentioning
confidence: 99%
“…Our attention is restricted to a framework accounting for the multi-point spatial correlations of velocity and pressure fluctuations up to the degenerate fourth order. It is guided by the general structure of analytical theories, the consideration of mathematical and computational demands, and the availability of experimental and * luoyitao@iitm.ac.in observational data [9]. One part of the relations concerns the dynamical equations of evolution for the correlations and is derived in a conventional fashion.…”
Section: Introductionmentioning
confidence: 99%