Chapter
Apr 26, 2012
A Finite Element Method for the 1-Term Weakly Nonlinear Beji-Nadaoka Wave Model
Authors: Paulo Avilez-Valente [email protected] and Fernando J. Seabra-Santos [email protected]Author Affiliations
Publication: Ocean Wave Measurement and Analysis (2001)
Abstract
The authors describe a Petrov-Galerkin finite element method with third-order accuracy for the numerical solution of the 1-term Beji-Nadaoka model for weakly nonlinear dispersive water waves in one dimensional horizontal domains. Finite elements are used in both space and time domains. Dispersion correction and a highly selective dissipation mechanism are introduced through additional streamline upwind in the weighting functions. Linear interpolation in space is retained and coupled with an implicit one-level time integration scheme. An accuracy and stability analysis is presented. The numerical results are compared to experimental data of waves propagating over a bar. It is concluded that the proposed finite element method possesses very good features.
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© 2002 American Society of Civil Engineers.
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Published online: Apr 26, 2012
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Assistant Professor, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, P-4200-465 Porto, Portugal.E-mail: [email protected]
Professor, IMAR — Departamento de Engenharia Civil, Universidade de Coimbra, Pólo II, Pinhal de Marrocos, P-3030-290 Coimbra, Portugal.E-mail: [email protected]
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