The shallow water equations in Lagrangian coordinates
نویسندگان
چکیده
منابع مشابه
A 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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where an denotes a vertical acceleration of the fluid, e.g., due to gravity. This formulation can be derived from the NS equations by, most importantly, assuming a hydrostatic pressure along the direction of gravity. Interested readers can find a detailed derivation of these euqations in Section A. In the following sections we will first explain how to solve these equations with a basic solver,...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2004
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2004.04.014