A discontinuous galerkin method for non-hydrostatic shallow water flows

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Autor/in:
Erscheinungsjahr:
2017
Medientyp:
Text
Schlagworte:
  • Water waves
  • Waves
  • Wave transformation
  • Water Waves
  • Wave Energy Conversion
  • Shallow water equations
  • Non-hydrostatic
  • Discontinuous galerkin method
  • Water waves
  • Waves
  • Wave transformation
  • Water Waves
  • Wave Energy Conversion
Beschreibung:
  • In this work a non-hydrostatic depth-averaged shallow water model is discretized using the discontinuous Galerkin (DG) Method. The model contains a non-hydrostatic pressure component, similar to Boussinesq-type equations, which allows for dispersive gravity waves. The scheme is a projection method and consists of a predictor step solving the hydrostatic shallow water equations by the Runge-Kutta DG method. In the correction the non-hydrostatic pressure component is computed by satisfying a divergence constraint for the velocity. This step is discretized by application of the DG discretization to the first order elliptic system. The numerical tests confirm the correct dispersion behavior of the method, and show its validity for simple test cases.
Lizenz:
  • info:eu-repo/semantics/restrictedAccess
Quellsystem:
Forschungsinformationssystem der UHH
Interne Metadaten
Quelldatensatz
oai:www.edit.fis.uni-hamburg.de:publications/b65f3527-83a4-411d-87e5-9b981e85a908