Stochastic Geometric Mechanics for Fluid Dynamics
Fluid Dynamics
2023-08-30 v1 Mathematical Physics
math.MP
Atmospheric and Oceanic Physics
Abstract
Stochastic geometric mechanics (SGM) is known for its potential utility in quantifying uncertainty in global climate modelling of the Earth's ocean and atmosphere while also preserving the fundamental advective transport properties of ideal fluid flow. The present chapter describes the mathematical development of the framework of stochastic geometric mechanics in the context of fluid flow and wave dynamics obtained from Lie group-invariant variational principles.
Cite
@article{arxiv.2308.15286,
title = {Stochastic Geometric Mechanics for Fluid Dynamics},
author = {Darryl D. Holm and Erwin Luesink},
journal= {arXiv preprint arXiv:2308.15286},
year = {2023}
}
Comments
23 pages, 3 figures, 3 tables, submitted to Elsevier Encyclopedia of Mathematical Physics second edition. arXiv admin note: substantial text overlap with arXiv:2108.07853