Analytical solution for the linear wave diffraction by a uniform vertical cylinder with an arbitrary smooth cross-section. (1st November 2016)

• Record Type: Journal Article
• Authors: Liu, Jiabin; Guo, Anxin; Li, Hui
• Is Part Of: Ocean engineering. Volume 126(2016)
• Page Start: 163
• Page End: 175
• Publication Date: 2016-11-01
• Subjects: Wave diffraction -- Cylinder -- Arbitrary smooth cross-section -- Analytical solution -- Wave force -- Wave run-up; Ocean engineering -- Periodicals; Ocean engineering; Periodicals; 620.4162
• DOI: 10.1016/j.oceaneng.2016.09.010
• Languages: English
• ISSNs: 0029-8018

Abstract

Abstract: An analytical method is proposed to investigate the wave diffraction of linear waves with a uniform, bottom-mounted cylinder with an arbitrary smooth cross-section. Based on the condition that the radius function of the cylinder surface can be expanded into a Fourier series, the linear diffraction theory is extended to solve the diffraction problem of linear waves in such large-scale structures. The present method is first validated using a uniform vertical cylinder with cosine-type radial perturbations. Then, the wave diffraction, wave force and wave run-up are investigated for such structures under wave attacks with different rotation angles. Finally, this method is further extended to a practical engineering application in a quasi-ellipse caisson foundation for a cross-strait bridge pylon. The results show that the method that we have developed can be effectively used for predicting the wave force and wave run-up of large-scale cylinders with arbitrary smooth cross-sections considering the wave diffraction effects. Highlights: A linear diffraction solution for cylinder with arbitrary cross-section is proposed. The effects of rotation angle and wave number on the wave action are discussed. The proposed method is validated by circular cylinder with cosine-type perturbation. Wave actions on a quasi-ellipse caisson foundation is investigated.