Finite element modelling of surface waves in a channel
type: Item
instance of: scholarly article
title: Finite element modelling of surface waves in a channel
zbMATH Open document ID: 0555.76020
DOI: 10.1016/0307-904X(84)90142-2
author: S. E. Ramberg
author: O. M. Griffin
author: George A. Keramidas
published in: Applied Mathematical Modelling
publication date: 1984-01-01T00:00:00Z
review text: A finite element model is derived for solving the nonlinear system of hydrodynamic equations governing surface wave motion in shallow water, obtained by vertically integrating the continuity and momentum equations, and neglecting viscosity, bottom friction and turbulence. The time integration scheme employed is discussed and the results obtained demonstrate its good stability and accuracy. Several applications are considered, viz an open channel of uniform and linearly varying depth, and wave reflection from a submerged cylinder. The inflow BC is prescribed in terms of the velocity which represents a wavemaker and/or a flow source, while the outflow BC is specified in terms of the water elevation and is adjusted for two cases, a reflecting boundary (finite channel) and a non-reflecting boundary (open-ended channel). The latter reproduces the analytical radiation condition for waves.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3885499
zbMATH Keywords: finite element model
zbMATH Keywords: nonlinear system of hydrodynamic equations
zbMATH Keywords: surface wave motion in shallow water
zbMATH Keywords: continuity and momentum equations
zbMATH Keywords: neglecting viscosity, bottom friction and turbulence
zbMATH Keywords: open channel of uniform and linearly varying depth
zbMATH Keywords: wave reflection from a submerged cylinder
zbMATH Keywords: wavemaker
zbMATH Keywords: flow source
zbMATH Keywords: analytical radiation condition
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3885499