Dynamically consistent shallow-water equation sets in non-spherical geometry with latitudinal variation of gravity-Reference-Cited by-同舟云学术

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Dynamically consistent shallow-water equation sets in non-spherical geometry with latitudinal variation of gravity

Published:2015-04-11 Issue:691 Volume:141 Page:2429-2443
ISSN:0035-9009
Container-title:Quarterly Journal of the Royal Meteorological Society
language:en
Short-container-title:Q.J.R. Meteorol. Soc

Author:

Staniforth Andrew¹

Affiliation:

1. Met Office; Exeter UK

Publisher

Wiley

Subject

Atmospheric Science

Reference20 articles.

1. An assessment of global forecast errors due to spherical geopotential approximation in the shallow-water case;Bénard;Q. J. R. Meteorol. Soc.,2015

2. On the dynamical consistency of geometrically approximated equations for geophysical fluids in arbitrary coordinates;Charron;Q. J. R. Meteorol. Soc.,2014

3. Variations on a beta-plane: Derivation of non-traditional beta-plane equations from Hamilton's principle on a sphere;Dellar;J. Fluid Mech.,2011

4. Shallow water equations with a complete Coriolis force and topography;Dellar;Phys. Fluids,2005

5. Eckart C 1960 The Hydrodynamics of Oceans and Atmospheres

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Well balanced finite volume schemes for shallow water equations on manifolds;Applied Mathematics and Computation;2023-03

2. Discontinuous Galerkin solver for the shallow-water equations in covariant form on the sphere and the ellipsoid;Journal of Computational Physics;2020-06

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