Variational finite element methods for waves in a Hele-Shaw tank

Kalogirou, Anna, Moulopoulou, Erietta E. and Bokhove, Onno (2016) Variational finite element methods for waves in a Hele-Shaw tank. Applied Mathematical Modelling, 40 (17-18). pp. 7493-7503. ISSN 0307-904X

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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. (C) 2016 The Authors. Published by Elsevier Inc.

Item Type:	Article
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/).
Uncontrolled Keywords:	shallow water waves,hele-shaw,damped wave motion,finite element method
Depositing User:	Pure Connector
Date Deposited:	13 Jan 2017 00:06
Last Modified:	22 Oct 2022 02:06
URI:	https://ueaeprints.uea.ac.uk/id/eprint/62029
DOI:	10.1016/j.apm.2016.02.036

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