Numerical simulation of solitary waves on plane slopes

Authors:
Philippe Guyenne;David P. Nicholls
Affiliations:
Department of Mathematics, McMaster University, 1280 Main Street West, Hamilton, Ont., Canada L8S 4K1;Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA
Venue:
Mathematics and Computers in Simulation - Special issue: Nonlinear waves: Computation and theory III
Year:
2005

Citing 4
Cited 1

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Stable computation of the functional variation of the Dirichlet-Neumann operator

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Abstract

In this paper, we present a numerical method for the computation of surface water waves over bottom topography. It is based on a series expansion representation of the Dirichlet-Neumann operator in terms of the surface and bottom variations. This method is computationally very efficient using the fast Fourier transform. As an application, we perform computations of solitary waves propagating over plane slopes and compare the results with those obtained from a boundary element method. A good agreement is found between the two methods.