Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography

@article{Tort2014ConsistentSE,
title={Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography},
author={M. Tort and T. Dubos and F. Bouchut and V. Zeitlin},
journal={Journal of Fluid Mechanics},
year={2014},
volume={748},
pages={789-821}
}

Consistent shallow-water equations are derived on the rotating sphere with topography retaining the Coriolis force due to the horizontal component of the planetary angular velocity. Unlike the traditional approximation, this "non-traditional" one captures the increase with height of the solid-body velocity due to planetary rotation. The conservation of energy, angular momentum and potential vorticity are ensured in the system. The caveats in extending the standard shallow-water wisdom to the… Expand