Presentation Name: Growth of vorticity moments in the Euler equations
Presenter: Robert Kerr 教授
Date: 2012-08-17
Location: 光华东主楼1801
Abstract:

The evolution of rescaled vorticity moments is found for inviscid Euler solutions of anti-parallel vortices of different lengths using a new initial profile and a new algorithm for the vorticity direction. The rescaled vorticity moments are an adaptation to the Euler equations of a rescaling developed for Navier-Stokes analysis. All rescaled moments grow in time, with the lower-order moments bounding the higher-order moments from above, consistent with new results from several Navier-Stokes calculations. Furthermore, if, as an inviscid flow evolves, this ordering is assumed to hold, then an upper bound on the growth of these moments can be used to provide a prediction of power law growth against which to compare the growth of these moments.  The observed growth of all the higher-order moments in the new
calculations obeys the predicted bounds.

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