Iterative spectral integration algorithm: Difference between revisions

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<math>  
<math>  
\begin{equation}
\begin{equation}
\varepsilon = \frac{15}{2} \nu  \int^{k_c}_{k_0} E^2(k) dk
\varepsilon = \frac{15}{2} \nu  \int^{k_c}_{k_0} E^2(k) dk  
\end{equation}
\end{equation}
</math>
</math>

Revision as of 21:16, 20 August 2021

Spectral integration is an iterative procedure because the bandwidth required to estimate the variance of shear depends on the rate of dissipation, the level of electronic noise in the shear-probe signal, on the wavenumber of spurious signals that were not removed by the Goodman algorithm, and on the wavenumber resolution of the shear probe. The rate of dissipation is estimated using

[math]\displaystyle{ \begin{equation} \varepsilon = \frac{15}{2} \nu \int^{k_c}_{k_0} E^2(k) dk \end{equation} }[/math]