A jetlet hierarchy for ideal fluid dynamics
Fluid Dynamics
2015-06-18 v3 Mathematical Physics
math.MP
Pattern Formation and Solitons
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.
Cite
@article{arxiv.1402.0086,
title = {A jetlet hierarchy for ideal fluid dynamics},
author = {C. J. Cotter and D. D. Holm and H. O. Jacobs and D. M. Meier},
journal= {arXiv preprint arXiv:1402.0086},
year = {2015}
}
Comments
1st revision -- Comments welcome