Chapter
Apr 26, 2012

A Highly Accurate Boussinesq Method for Fully Nonlinear Waves from Shallow to Deep Water

Publication: Ocean Wave Measurement and Analysis (2001)

Abstract

A new method valid for highly dispersive and highly nonlinear water waves is presented. It combines a time-stepping of the exact surface boundary conditions with an approximate series expansion solution to the Laplace equation in the interior domain involving up to fifth-derivative operators. A numerical model is developed in a single horizontal dimension and it is used to study modulational instability in deep water.

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Go to Ocean Wave Measurement and Analysis (2001)
Ocean Wave Measurement and Analysis (2001)
Pages: 834 - 843

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Published online: Apr 26, 2012

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Per A. Madsen [email protected]
M.ASCE
Professor, Informatics and Mathematical Modelling, Technical University of Denmark, Bldg 321, DK-2800 Lyngby, Denmark. E-mail: [email protected]
Harry Bingham [email protected]
Ass. Professor, Informatics and Mathematical Modelling, Technical University of Denmark, Bldg 321, DK-2800 Lyngby, Denmark. E-mail: [email protected]
Hua Liu
Professor, Inst. of Water Resources and Environmental Research, Shanghai Jiao Tong University, Shanghai 200030, P.R. China

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