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- W2799494503 abstract "Abstract The derivation of the rotating shallow-water model by vertical averaging is carried on in the tangent plane approximation without neglecting the vertical component of the Coriolis force, and contributions of the vertical component of velocity in its horizontal component (‘non-traditional’ terms), leading to one- and two-layer ‘non-traditional’ rotating shallow-water models. A similar approach on the whole sphere encounters difficulties with conservation of angular momentum. Consistent ‘non-traditional’ rotating shallow-water equations in this case are obtained from the variational principle, which is first formulated for full primitive equations. It is shown that columnar motion hypothesis should be replaced by solid-angle motion one on the sphere. Two-layer non-traditional rotating shallow-water equations are used to analyse inertial instability of jets and compare the results with Chapter 10. It is shown that non-traditional terms can increase the growth rates up to 30% in some configurations and can also change the structure of the unstable modes." @default.
- W2799494503 created "2018-05-17" @default.
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- W2799494503 date "2018-02-15" @default.
- W2799494503 modified "2023-09-25" @default.
- W2799494503 title "Rotating Shallow-Water Models with Full Coriolis Force" @default.
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- W2799494503 doi "https://doi.org/10.1093/oso/9780198804338.003.0016" @default.
- W2799494503 hasPublicationYear "2018" @default.
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