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A new method for averaging fluid motion
Student-Run Research Seminar| Speaker: | Steve Shkoller, UC Davis |
| Location: | 693 Kerr |
| Start time: | Thu, Mar 8 2001, 10:00AM |
We present a new methodology, called Lagrangian averaging, for deriving a closed set of equations for the mean motion of a fluid. The method is formulated variationally to take advantage of G.I. Taylor's ``frozen turbulence'' hypothesis which states that fluctuations are frozen into the mean flow. The resulting equations for the mean motion of the fluid do NOT introduce any artificial viscosity and hence do not suppress intermittency, yet are able to average over (or filter) the unresolvable spatial scales in numerical simulations of turbulent flow. We shall present the derivation, discuss certain remarkable analytical properties of solutions, and show results of numerical simulations for both forced and decaying turbulence.