Kalogirou, A orcid.org/0000-0002-4668-7747, Moulopoulou, EE and Bokhove, O (2016) Variational finite element methods for waves in a Hele–Shaw tank. Applied Mathematical Modelling, 40 (17-18). pp. 7493-7503. ISSN 0307-904X
Abstract
The damped motion of driven water waves in a Hele-Shaw tank is investigated variationally and numerically. The equations governing the hydrodynamics of the problem are derived from a variational principle for shallow water. The variational principle includes the effects of surface tension, linear momentum damping due to the proximity of the tank walls and incoming volume flux through one of the boundaries representing the generation of waves by a wave pump. The model equations are solved numerically using (dis)continuous Galerkin finite element methods and are compared to exact linear wave sloshing and driven wave sloshing results. Numerical solutions of the nonlinear shallow water-wave equations are also validated against laboratory experiments of artificially driven waves in the Hele-Shaw tank.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016. The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
Keywords: | shallow water waves; Hele–Shaw; damped wave motion; finite element method |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Funding Information: | Funder Grant number EPSRC EP/L025388/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 11 Mar 2016 14:32 |
Last Modified: | 11 Apr 2018 13:41 |
Published Version: | http://dx.doi.org/10.1016/j.apm.2016.02.036 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.apm.2016.02.036 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:96038 |