Stochastic Geometric Mechanics for Fluid Dynamics

Darryl D. Holm; Erwin Luesink

doi:10.48550/arXiv.2308.15286

Stochastic Geometric Mechanics for Fluid Dynamics

Darryl D. Holm, Erwin Luesink

Mathematics of Operations Research

Research output: Working paper › Preprint › Academic

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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.

Original language	English
Publisher	ArXiv.org
DOIs	https://doi.org/10.48550/arXiv.2308.15286
Publication status	Published - 29 Aug 2023

Keywords

physics.flu-dyn
math-ph
math.MP
physics.ao-ph

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10.48550/arXiv.2308.15286

2308.15286v1Final published version, 854 KB

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KW - physics.ao-ph

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Stochastic Geometric Mechanics for Fluid Dynamics

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Keywords

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