An Implicit Discontinuous Galerkin Finite Element Method for Water Waves


Vegt, J.J.W. van der and Ambati, V.R. and Bokhove, O. (2005) An Implicit Discontinuous Galerkin Finite Element Method for Water Waves. In: 7th International Conference on Mathematical and Numerical Aspects of Waves, WAVES 2005, 20-24 June 2005, Providence, Rhode Island, USA.

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Abstract:We discuss a new higher order accurate discontinuous Galerkin finite element method for non-linear free surface gravity waves. The algorithm is based on an arbitrary Lagrangian Eulerian description of the flow field using deforming elements and a moving mesh, which makes it possible to represent non-linear large amplitude waves. The novel feature of the algorithm is a coupled treatment of the free surface boundary condition and the domain discretization, which improves numerical stability.
Item Type:Conference or Workshop Item
Additional information:We would like to acknowledge the collaboration with Dr. S.K. Tomar during the initial development of the DG algorithm. This research was partly funded by the Maritime Research Institute Netherlands (MARIN).
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Metis ID: 225998