000014741 001__ 14741
000014741 005__ 20161115100200.0
000014741 04107 $$aeng
000014741 046__ $$k2016-08-21
000014741 100__ $$aMeneveau, Charles
000014741 24500 $$aHigh-order statistics and random additive model for turbulent boundary layers

000014741 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014741 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014741 506__ $$arestricted
000014741 520__ $$2eng$$aA random additive process is introduced as a simplified version of the Townsend attached eddy hypothesis to describe fluctuations in the momentum cascade in wall turbulence at high Reynolds number. This formalism can provide economical predictions about scaling behaviors in single- and multiple-point turbulence statistics in the logarithmic region. New log laws for two-point quantities are identified and confirmed using experimental data. Secondly, properties of single- and two-point moment-generating- functions (⟨exp(qu)⟩ and ⟨exp[qu(x, z) + q ′ u(x + r, z)]⟩) are investigated, where q, q ′ are real-valued parameters. Empirical evidence of power law behaviors with respect to the wall normal distance in the logarithmic region in single-point moment-generating-function (MGF) is observed. Moreover, a power-law scaling transition in two-point MGF ⟨exp(qu(x, z)qu(x + r, z))⟩ is predicted in the framework of the random additive process and Townsend’s attached eddy hypothesis, and confirmed in experimental measurements.

000014741 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014741 653__ $$a

000014741 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014741 720__ $$aMeneveau, Charles
000014741 8560_ $$ffischerc@itam.cas.cz
000014741 8564_ $$s169035$$uhttps://invenio.itam.cas.cz/record/14741/files/TS.FM14-4.04.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1435, code TS.FM14-4.04
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000014741 962__ $$r13812
000014741 980__ $$aPAPER