A p-type finite element scheme is introduced for the three-dimensional shallow water equations with a harmonic expansion in time. The wave continuity equation formulation is used which decouples the problem into a Helmholtz equation for surface elevation and a momentum equation for horizontal veloci
✦ LIBER ✦
Raviart–Thomas and Brezzi–Douglas–Marini finite-element approximations of the shallow-water equations
✍ Scribed by V. Rostand; D. Y. Le Roux
- Book ID
- 102841101
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 869 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.1668
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## Abstract Dispersion analysis of discrete solutions to the shallow water equations has been extensively used as a tool to define the relationships between frequency and wave number and to determine if an algorithm leads to a dual wave number response and near 2Δ__x__ oscillations. In this paper,
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