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={Marine Tort and Thomas Dubos and François Bouchut and Vladimir Zeitlin},
  journal={Journal of Fluid Mechanics},
  year={2014},
  volume={748},
  pages={789 - 821}
}
Abstract 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’ approximation 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… 
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