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An inertial range model for the three-point third-order velocity correlation
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10.1063/1.2793163
/content/aip/journal/pof2/19/10/10.1063/1.2793163
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/10/10.1063/1.2793163

Figures

Image of FIG. 1.
FIG. 1.

Basis functions for the nonzero, nonredundant components of and (see text for definitions) as functions of . =(plain curve), , , , and .

Image of FIG. 2.
FIG. 2.

The nonzero, nonredundant components of and (see text for definitions) as functions of from the DNS data of Ref. 12 (crosses) and the tensor model given by Eq. (38) and Table I (curve).

Image of FIG. 3.
FIG. 3.

Contours of the DNS data of Ref. 12 and the tensor model given by Eq. (38) and Table I for and (see text for definitions) in the plane. Each component has a symmetry, which is used to allow the data and the model to be displayed side-by-side, as shown. The heavy black lines are lines of symmetry for each component.

Image of FIG. 4.
FIG. 4.

Third-order longitudinal structure function of a Gaussian filtered infinite Reynolds number isotropic turbulence computed from the tensor model described by Eq. (38) and Table I. Also shown is the unfiltered structure function from the Kolmogorov 4/5 law.

Image of FIG. 5.
FIG. 5.

The energy flux terms in Eq. (10) calculated from the third-order longitudinal structure functions in Fig. 4. Both the flux to resolved scales and the flux to subfilter scales are shown, normalized by .

Tables

Generic image for table
Table I.

Values of the model coefficients in Eq. (38) found by fitting the DNS data of Langford and Moser (Ref. 12).

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/content/aip/journal/pof2/19/10/10.1063/1.2793163
2007-10-26
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: An inertial range model for the three-point third-order velocity correlation
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/10/10.1063/1.2793163
10.1063/1.2793163
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