Hamiltonian Finite Element Discretization for Nonlinear Free Surface Water Waves

A novel finite element discretization for nonlinear potential flow water waves is presented. Starting from Luke’s Lagrangian formulation we prove that an appropriate finite element discretization preserves the Hamiltonian structure of the potential flow water wave equations, even on general time-dep...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 73; no. 1; pp. 366 - 394
Main Authors:	Brink, Freekjan, Izsák, Ferenc, van der Vegt, J. J. W.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.10.2017 Springer Nature B.V
Subjects:	Accuracy Algorithms Amplitudes Approximation Computational Mathematics and Numerical Analysis Decades Discretization Free surfaces Hamiltonian functions Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Numerical analysis Potential flow Surface water Theoretical Time dependence Time integration Velocity Water waves Wave equations Wave interaction Finite element method Hamiltonian systems 65P10 Nonlinear potential flow water wave equations 76B15 Symplectic time integration 65M60 Moving meshes
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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