A thermal Green-Naghdi model with time dependent bathymetry and complete Coriolis force
Atmospheric and Oceanic Physics
2025-04-10 v2 Fluid Dynamics
Abstract
This paper extends the theoretical Euler-Poincar\'e framework for modelling ocean mixed layer dynamics. Through a symmetry-broken Lie group invariant variational principle, we derive a generalised Green-Naghdi equation with time dependent bathymetry, a complete Coriolis force, and inhomogeneity of the thermal buoyancy. The nature of the model derived here lends it a potential future application to wave dynamics generated by changes to the bathymetry.
Keywords
Cite
@article{arxiv.2502.12220,
title = {A thermal Green-Naghdi model with time dependent bathymetry and complete Coriolis force},
author = {Darryl D. Holm and Oliver D. Street},
journal= {arXiv preprint arXiv:2502.12220},
year = {2025}
}
Comments
For submission to "STUOD" conference proceedings, comments welcome