In order to simulate flows in the shallow water limit, the full incompressible Navier-Stokes equations with free boundaries are solved using a single layer of finite elements. This implies a polynomial approximation of the velocity profile in the vertical direction, which in turn distorts the wave s
Finite element approximation of Quasi-3D shallow water equations
β Scribed by Edie Miglio; Alfio Quarteroni; Fausto Saleri
- Book ID
- 108390934
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 908 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0045-7825
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π SIMILAR VOLUMES
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
## 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 2Ξ__x__ oscillations. In this paper,
This paper is concerned with solving the viscous and inviscid shallow water equations. The numerical method is based on second-order finite volume-finite element (FV-FE) discretization: the convective inviscid terms of the shallow water equations are computed by a finite volume method, while the dif