Comparing two different types of stochastic parametrisation in geophysical flow
Fluid Dynamics
2024-09-13 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2408.08937,
title = {Comparing two different types of stochastic parametrisation in geophysical flow},
author = {Darryl Holm and Wei Pan and James Woodfield},
journal= {arXiv preprint arXiv:2408.08937},
year = {2024}
}