Spectral/hp discontinuous Galerkin methods for computational hydraulics

Claes Eskilsson*

*Corresponding author for this work

Research output: PhD thesis


The propagation and evolution of surface gravity waves were studied by using the spectral version of the discontinuous Galerkin method. It was observed that the spectral/hp element approach can generate computationally competitive models for coastal and hydraulic engineering. In solving the momentum equations the coupled momentum equation is rewritten as a scalar wave continuity equation thereby reducing the size of the resulting sparse matrix system. It was also found that the spectral/hp element method reduced the computational time for large-scale long-time dispersive wave simulations.

Original languageEnglish
Publication statusPublished - 2005
Externally publishedYes


  • Boussinesq-type equations
  • Discontinuous Galerkin method
  • Shallow water equations
  • Spectral/hp elements
  • Surface gravity waves


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