Abstract:In this paper I present and discuss with examples new techniques based on the use of geometric and topological information to quantify dynamical information and determine new relationships between structural complexity and dynamical properties of vortex flows. New means to determine linear and angular momenta from standard diagram analysis of vortex tangles are provided, and the Jones polynomial, derived from the skein relations of knot theory is introduced as a new knot invariant of topological fluid mechanic… Show more
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