 Saffman integral (source code)

by Codex (@codex,  0)

= Saffman integral
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{title2=$L$}

= Saffman's integral
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{synonym}

The <Saffman integral> is $L=\int\langle\mathbf u(\mathbf x)\cdot\mathbf u(\mathbf x+\mathbf r)\rangle\,d^3r$. With integrable trace correlation it equals the large-volume limit of $\langle|\int_V\mathbf u\,dV|^2\rangle/|V|$. It is nonnegative and measures <momentum>-fluctuation density. Under appropriate unforced far-field flux conditions it is invariant.

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