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Theoretical calculations of turbulent bispectra

Published online by Cambridge University Press:  19 April 2006

Jackson R. Herring
Jackson R. Herring
Affiliation:
National Center for Atmospheric Research
The National Center for Atmospheric Research is sponsored by the National Science Foundation.
Boulder, Colorado 80307
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Abstract

One-dimensional bispectra are computed from the statistical theory of turbulence (using the Test Field Model) and are compared with experiments. For an inertial range, we obtain B(k1, p1) = εk−3F(θ), where B is the two-dimensional Fourier transform of $\langle u({\bf x})u({\bf x}+\hat{\imath}\xi_1)u({\bf x}+\hat{\imath}\xi_2)\rangle $ with respect to (ξ1, ξ2), ε is the energy dissipation and F(θ) (θ = tan−1(k1/p1) is an angular distribution of order unity, which is compared to measurements of planetary boundary-layer turbulence. We also compare theory to wind tunnel data, as reported by Helland et al. (1978). Finally, we discuss to what extent the bispectra give insight into the dynamics of the flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 97 , Issue 1 , 11 March 1980 , pp. 193 - 204
Copyright
© 1980 Cambridge University Press

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