Finite Element Approximations to the System of Shallow Water Equations, Part III: On the Treatment of Boundary Conditions
✍ Scribed by Dawson, Clint N.; Martínez-Canales, Mónica L.
- Book ID
- 118189479
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2000
- Tongue
- English
- Weight
- 155 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0036-1429
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📜 SIMILAR VOLUMES
## 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,
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