A Highly Accurate Boussinesq Method for Fully Nonlinear Waves from Shallow to Deep Water
by Per A. Madsen, M.ASCE, (Professor, Informatics and Mathematical Modelling, Technical University of Denmark, Bldg 321, DK-2800 Lyngby, Denmark E-mail: prm@imm.dtu.dk), Harry Bingham, (Ass. Professor, Informatics and Mathematical Modelling, Technical University of Denmark, Bldg 321, DK-2800 Lyngby, Denmark E-mail: hbb@imm.dtu.dk), and Hua Liu, (Professor, Inst. of Water Resources and Environmental Research, Shanghai Jiao Tong University, Shanghai 200030, P.R. China)
pp. 834-843, (doi: http://dx.doi.org/10.1061/40604(273)85)
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| Document type: |
Conference Proceeding Paper |
| Part of: |
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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