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Measures of mixing and transport
Christopher Jones, Thomas C. Redd, Sherry E. Scott and Igor Mezic
University of North Carolina at Chapel Hill
ckrtj@unc.edu(Abstract received 05/09/2005 for session B)
ABSTRACT
A fundamental problem arises in comparing fluid flows, for instance different model approximations, in terms of their mixing characteristics. A multi-scale approach is proposed here for assessing the extent of mixing in a model flow. The approach uses wavelets as a means to capturing mixing and ergodicity at different scales. It is exposed in the context of some simple examples of maps. Building on work of Kuznetsov et al. (Physica D, 2004), a measurement of transport is also discussed in terms of manifold comparison.
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2005 LAPCOD Meeting, Lerici, Italy, June 13-17, 2005