ANNA KALOGIROU Anna.Kalogirou@nottingham.ac.uk
Assistant Professor
Variational finite element methods for waves in a Hele-Shaw tank
Kalogirou, Anna; Moulopoulou, Erietta E.; Bokhove, Onno
Authors
Erietta E. Moulopoulou
Onno Bokhove
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.
Citation
Kalogirou, A., Moulopoulou, E. E., & Bokhove, O. (2016). Variational finite element methods for waves in a Hele-Shaw tank. Applied Mathematical Modelling, 40(17-18), 7493-7503. https://doi.org/10.1016/j.apm.2016.02.036
Journal Article Type | Article |
---|---|
Acceptance Date | Mar 2, 2016 |
Online Publication Date | Mar 16, 2016 |
Publication Date | 2016-09 |
Deposit Date | Jun 4, 2019 |
Publicly Available Date | Mar 28, 2024 |
Journal | Applied Mathematical Modelling |
Print ISSN | 0307-904X |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 40 |
Issue | 17-18 |
Pages | 7493-7503 |
DOI | https://doi.org/10.1016/j.apm.2016.02.036 |
Keywords | Modelling and Simulation; Applied Mathematics |
Public URL | https://nottingham-repository.worktribe.com/output/2138159 |
Publisher URL | https://www.sciencedirect.com/science/article/pii/S0307904X1630110X |
Files
1-s2.0-S0307904X1630110X-main
(1.4 Mb)
PDF
Publisher Licence URL
https://creativecommons.org/licenses/by/4.0/
You might also like
Nonlinear dynamics of unstably stratified two-layer shear flow in a horizontal channel
(2023)
Journal Article
Numerical Experiments on Extreme Waves Through Oblique–Soliton Interactions
(2022)
Journal Article
A novel wave-energy device with enhanced wave amplification and induction actuator
(2020)
Journal Article
From bore-soliton-splash to a new wave-to-wire wave-energy model
(2019)
Journal Article
Downloadable Citations
About Repository@Nottingham
Administrator e-mail: digital-library-support@nottingham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search