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Palinstrophy is the curl of the vorticity. It is defined as $\frac{1}{2}(\mathrm{\nabla }\times \omega ),$ where $\omega$ is the vorticity.

Palinstrophy is mainly used in turbulence study, where there is a need to quantify how vorticity is transferred from one direction to the others. It is closely related to enstrophy, the latter being more equivalent to the "power" of vorticity.

References

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• Lesieur, Marcel. "Turbulence in fluids: stochastic and numerical modeling." NASA STI/Recon Technical Report A 91 (1990): 24106.
• Pouquet, A., et al. "Evolution of high Reynolds number two-dimensional turbulence." Journal of Fluid Mechanics 72 (1975): 305-319.
• http://books.google.ca/books?id=rkOmKzujZB4C&lpg=PA571&ots=3MLpih2mjX&dq=palinstrophy%20definition&pg=PA571#v=onepage&q&f=false