Discontinuous Galerkin method for linear free-surface gravity waves

DOI10.1007/s10915-004-4149-1zbMath1065.76145OpenAlexW1968307015MaRDI QIDQ556036

J. J. W. van der Vegt, Satyendra Tomar

Publication date: 13 June 2005

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://research.utwente.nl/en/publications/discontinuous-galerkin-method-for-linear-freesurface-gravity-waves(dc112956-1ffc-4ac4-86f2-443af34a7ec8).html

zbMATH Keywords

Fourier analysisa priori error analysiswave maker

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Computational error-analysis of a discontinuous Galerkin discretization applied to large-eddy simulation of homogeneous turbulence ⋮ Variational space-time (dis)continuous Galerkin method for nonlinear free surface water waves ⋮ Space-time discontinuous Galerkin method for nonlinear water waves ⋮ Hamiltonian finite element discretization for nonlinear free surface water waves ⋮ Optimal penalty parameters for symmetric discontinuous Galerkin discretisations of the time-harmonic Maxwell equations ⋮ A mixed Eulerian-Lagrangian spectral element method for nonlinear wave interaction with fixed structures ⋮ A space-time hybridizable discontinuous Galerkin method for linear free-surface waves ⋮ A Runge-Kutta discontinuous Galerkin method for linear free-surface gravity waves using high order velocity recovery

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