Presentation Name: | Growth of vorticity moments in the Euler equations |
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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 |
Annual Speech Directory: | No.86 |
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