A finite element method for fully nonlinear water waves

DOI10.1006/jcph.1998.9997zbMath0935.76042OpenAlexW2045332662WikidataQ58210501 ScholiaQ58210501MaRDI QIDQ1287190

Xing Cai, Bjørn Fredrik Nielsen, Aslak Tveito, Hans Petter Langtangen

Publication date: 20 June 1999

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/005aa989a0bcf753befd7b68957135ddccfafe2e

zbMATH Keywords

convergencepotential theorypreconditioned conjugate gradient methodelliptic boundary value problemdomain imbedding procedurethree-dimensional water surface waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element methods applied to problems in fluid mechanics (76M10)

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Accelerated 3D multi-body seakeeping simulations using unstructured finite elements ⋮ Space-time discontinuous Galerkin method for nonlinear water waves ⋮ Fully coupled linear modelling of incompressible free-surface flow, compressible air and flexible structures ⋮ A mixed Eulerian-Lagrangian spectral element method for nonlinear wave interaction with fixed structures ⋮ Arbitrary Lagrangian-Eulerian finite element analysis of free surface flow using a velocity-vorticity formulation. ⋮ Discontinuous Galerkin method for linear free-surface gravity waves ⋮ Numerical solutions for nonlinear free surface flows by finite element methods ⋮ Implementation of a fully nonlinear Hamiltonian coupled-mode theory, and application to solitary wave problems over bathymetry ⋮ A stabilised nodal spectral element method for fully nonlinear water waves ⋮ Free-surface flow simulation using \(hp\)/spectral elements ⋮ Quasi ALE finite element method for nonlinear water waves

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