Symmetry group analysis of the shallow water and semi-geostrophic equations
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چکیده
منابع مشابه
Symmetry Group Analysis of the Shallow Water and Semi-geostrophic Equations
The two-dimensional shallow water equations and their semi-geostrophic approximation that arise in meteorology and oceanography are analysed from the point of view of symmetry groups theory. A complete classification of their associated classical symmetries, potential symmetries, variational symmetries and conservation laws is found. The semi-geostrophic equations are found to lack conservation...
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15 صفحه اولA Semi-lagrangian Approach to the Shallow Water Equations
We present a formulation of the shallow water equations that emphasizes the conservation of potential vorticity. A locally conservative semi-Lagrangian time-stepping scheme is developed, which leads to a 593 https://ntrs.nasa.gov/search.jsp?R=19940017007 2017-12-03T14:09:29+00:00Z
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mechanics and Applied Mathematics
سال: 2005
ISSN: 0033-5614,1464-3855
DOI: 10.1093/qjmam/hbi033