A jetlet hierarchy for ideal fluid dynamics

Truncated Taylor expansions of smooth flow maps are used in Hamiltonʼs 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 scat...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2014-09, Vol.47 (35), p.352001-8
Main Authors: Cotter, C J, Holm, D D, Jacobs, H O, Meier, D M
Format: Article
Language:English
Subjects:
Dynamics
Hamilton's principle
Hierarchies
Ideal fluids
Mathematical models
multiscale models
Representations
Scattering
variational principles
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Summary:Truncated Taylor expansions of smooth flow maps are used in Hamiltonʼs 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.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/47/35/352001