Stochastic Geometric Mechanics for Fluid Dynamics
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2023
- DOI:
- arXiv:
- arXiv:2308.15286
- Bibcode:
- 2023arXiv230815286H
- Keywords:
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- Physics - Fluid Dynamics;
- Mathematical Physics;
- Physics - Atmospheric and Oceanic Physics
- E-Print:
- 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