A Runge-Kutta discontinuous Galerkin method for linear free-surface gravity waves using high order velocity recovery

DOI10.1016/J.CMA.2006.11.007zbMath1173.76379OpenAlexW2153207719MaRDI QIDQ1033559

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

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2006.11.007

zbMATH Keywords

discontinuous Galerkin methodgravity wavesfree-surfacehigh order gradient recovery

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (2)

Hamiltonian finite element discretization for nonlinear free surface water waves ⋮ A space-time hybridizable discontinuous Galerkin method for linear free-surface waves

Cites Work

• Discontinuous Galerkin method for linear free-surface gravity waves
• Free-surface flow simulation using \(hp\)/spectral elements
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Ultraconvergence of the patch recovery technique II
• Ultraconvergence of the patch recovery technique
• Superconvergence for the Gradient of Finite Element Approximations byL²Projections
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