000014722 001__ 14722
000014722 005__ 20161115100200.0
000014722 04107 $$aeng
000014722 046__ $$k2016-08-21
000014722 100__ $$aOkamura, Makoto
000014722 24500 $$aA Lagrangian closure approximation for homogeneous isotropic turbulence

000014722 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014722 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014722 506__ $$arestricted
000014722 520__ $$2eng$$aThe closure problem of turbulence has been one of the most important subjects in fluid dynamics through many years. Now a large number of closure models, ranging from empirical to theoretical, are available. In this paper, we are interested in closure models which are compatible with Kolmogorov’s five-thirds law without any adjustable free parameter. From this point of view, there are few closure models [1, 2], which are originated in the Lagrangian direct-interaction approximation (DIA) proposed by Kraichnan [3]. Their closure equations yield the Kolmogorov constant, CK = 1.72. In this paper, a new closure approximation, which is completely different from the DIA, is proposed for homogeneous isotropic stationary turbulence in the Lagrangian description. A two-closed-equation set is derived without any adjustable free parameter. The Kolmogorov constant CK is evaluated to be 1.66. This value is close to 1.62, which is the mean value of numerous experimental data collected by Sreenivasan [4].

000014722 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014722 653__ $$a

000014722 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014722 720__ $$aOkamura, Makoto
000014722 8560_ $$ffischerc@itam.cas.cz
000014722 8564_ $$s106604$$uhttps://invenio.itam.cas.cz/record/14722/files/TS.FM14-1.03.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1397, code TS.FM14-1.03
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000014722 962__ $$r13812
000014722 980__ $$aPAPER