Mathematician here, only somewhat familiar with physics, but finding myself involved in a research project on fluid dynamics. I'm studying a 3D simulation of turbulent fluid flow, and we are currently using the enstrophy calculation to study the system. That is, we look at $$\mathcal{E}(\omega) = \frac{1}{2}\int_V |\omega|^2 dV,$$ the integral of the square of the magnitude of the vorticity field. Mathematically, we see that $$2\mathcal{E}(\omega) = ||\omega||_2^2,$$ the square of the $L^2$-norm of the magnitude of the vorticity field.

My question: Do physicists ever look at other $L^p$-norms of the vorticity field? Is this something of interest? Intuitively, it would be like a weighted enstrophy calculation, placing more weight on regions of high vorticity.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.