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arXiv · 2408.08937

Comparing two different types of stochastic parametrisation in geophysical flow

Darryl Holm·Wei Pan·James Woodfield
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Abstract

This paper investigates the effects of stochastic variations in bathymetry on the solutions of the thermal quasigeostrophic (TQG) equations. These stochastic perturbations generate a variety of different types of ensemble spread in the solution behaviour whilst also preserving the deterministic Lie Poisson structure and Casimir conservation laws. We numerically compare the solution sensitivity, to another type of structure-preserving stochastic perturbation where instead of bathymetry, the velocity is stochastically perturbed.

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Darryl Holm, Wei Pan, James Woodfield. 2024-08-16. Comparing two different types of stochastic parametrisation in geophysical flow. https://arxiv.org/abs/2408.08937

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