Geometric theory of perturbation dynamics around non-equilibrium fluid flows
Fluid Dynamics
2024-04-02 v2 Differential Geometry
Abstract
The present work investigates the evolution of linear perturbations of time-dependent ideal fluid flows with advected quantities, expressed in terms of the second order variations of the action corresponding to a Lagrangian defined on a semidirect product space. This approach is related to Jacobi fields along geodesics and several examples are given explicitly to elucidate our approach. Numerical simulations of the perturbation dynamics are also presented.
Keywords
Cite
@article{arxiv.2402.10040,
title = {Geometric theory of perturbation dynamics around non-equilibrium fluid flows},
author = {Darryl D. Holm and Ruiao Hu and Oliver D. Street},
journal= {arXiv preprint arXiv:2402.10040},
year = {2024}
}
Comments
21 pages, 3 figures, 2nd version