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arXiv · 1402.0086

A jetlet hierarchy for ideal fluid dynamics

C. J. Cotter·D. D. Holm·H. O. Jacobs·D. M. Meier
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Abstract

Truncated Taylor expansions of smooth flow maps are used in Hamilton's principle to derive a multiscale Lagrangian particle representation of ideal fluid dynamics. Numerical simulations for scattering of solutions at one level of truncation are found to produce solutions at higher levels. These scattering events to higher levels in the Taylor expansion are interpreted as modeling a cascade to smaller scales.

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C. J. Cotter, D. D. Holm, H. O. Jacobs, D. M. Meier. 2014-02-01. A jetlet hierarchy for ideal fluid dynamics. https://doi.org/10.1088/1751-8113/47/35/352001

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