A variational model for fully non-linear water waves of Boussinesq type

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Klopman, Gert and Dingemans, Maarten W. and Groesen van, Brenny (2005) A variational model for fully non-linear water waves of Boussinesq type. In: 20th International Workshop on Water Waves and Floating Bodies, 29 May - 1 June 2005, Longyearbyen, Sweden.

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Abstract:Using a variational principle and a parabolic approximation to the vertical structure of the velocity potential, the equations of motion for surface gravity waves over mildly sloping bathymetry are derived. No approximations are made concerning the non-linearity of the waves. The resulting model equations conserve mass, momentum and positive-definite energy. They are shown to have improved frequency-dispersion characteristics, as compared to classical Boussinesq-type of wave equations.
Item Type:Conference or Workshop Item
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/53379
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