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Erschienen in:
2003 | OriginalPaper | Buchkapitel
A Nonlinear Spectral Model for Gravity Waves Generation and Propagation in a Bounded Domain
verfasst von : Félicien Bonnefoy, David Le Touzé, Pierre Ferrant
Erschienen in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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This paper is devoted to the time accurate simulation of the generation and propagation of gravity waves in a rectangular basin. The flow is described in the framework of nonlinear potential flow theory, with second order Stokes expansion of the boundary conditions at the free surface and at the wavemaker. The resulting initial boundary value problem is solved using a recently developed spectral method. The fully nonlinear potential formulation is first given, and then problems for each order of the perturbation expansion are derived. Details concerning the spectral approach and its numerical implementation follow. Finally, some simulations are briefly described.