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

@inproceedings{Tomar2006ARD,
  title={A Runge-Kutta discontinuous Galerkin method for linear free-surface gravity waves using high order velocity recovery},
  author={Satyendra Tomar},
  year={2006}
}
We present a higher order accurate discontinuous Galerkin fi nite element method for the simulation of linear free-surface gravity waves. The metho d uses the classical Runge-Kutta method for the time discretization of the free-surface equa tions and the discontinuous Galerkin method for the space discretization. In order to ci rcumvent numerical instabilities arising from an asymmetric mesh a stabilization term i s added to the free-surface equations. In combination with a higher order… CONTINUE READING

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