A new infinite element for unbounded water wave problems

Baghbani, A; Gregory-Smith, DG

Abstract

A new mapped infinite wave envelope element is developed to model two-dimensional unbounded water wave problems in conjunction with wave finite elements. The infinite elements may be used on the exterior of an ellipse or other shapes. Examples are implemented to test the model for the two special cases of circular and elliptical cylinder diffraction problems. Comparisons are made between the analytical and finite/infinite element solutions. The errors are small, around 2% for a very coarse mesh and decrease to around 0.5% when the wave envelope infinite elements are located reasonably far from the diffracting object, i.e. at a distance equal to the semi-major axis of the ellipse.

Citation

Baghbani, A., & Gregory-Smith, D. (2003). A new infinite element for unbounded water wave problems. Applied Ocean Research, 25(4), 213-223. https://doi.org/10.1016/j.apor.2004.02.001

• Journal Article Type: Article
• Publication Date: Aug 1, 2003
• Deposit Date: Jul 11, 2007
• Journal: Applied Ocean Research
• Print ISSN: 0141-1187
• Electronic ISSN: 1879-1549
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 25
• Issue: 4
• Pages: 213-223
• DOI: https://doi.org/10.1016/j.apor.2004.02.001
• Keywords: Wave diffraction, Finite elements, Infinite elements, Wave envelope, Ellipse.
• Public URL: https://durham-repository.worktribe.com/output/1540726