A Finite Element Method for the 1-Term Weakly Nonlinear Beji-Nadaoka Wave Model

• Type: Article in International Conference Proceedings Book
• Date: 2002

Authors

Paulo Avilez Valente (Author) FEUP; F. J. Seabra Santos (Author) Other

Conference proceedings International

Title: Ocean Wave Measurement and Analysis (2001)

Pages: 874-883

Indexing

Scopus

COMPENDEX

Scientific classification

CORDIS: Technological sciences > Engineering ; Physical sciences > Mathematics

Other information

Authenticus ID: P-00Q-7XE

DOI: 10.1061/40604(273)89

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10