Numerical solution for the second-order wave interaction with porous structures

✍ Scribed by Hu-Hsiao Hsu; Yung-Chao Wu

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 228 KB
• Volume: 29
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19990215)29:3<265::aid-fld784>3.0.co;2-5

✦ Synopsis

This study mathematically formulates the fluid field of a water-wave interaction with a porous structure as a two-dimensional, non-linear boundary value problem (bvp) in terms of a generalized velocity potential. The non-linear bvp is reformulated into an infinite set of linear bvps of ascending order by Stokes perturbation technique, with wave steepness as the perturbation parameter. Only the first-and second-order linear bvps are retained in this study. Each linear bvp is transformed into a boundary integral equation. In addition, the boundary element method (BEM) with linear elements is developed and applied to solve the first-and second-order integral equations. The first-and second-order wave profiles, reflection and transmission coefficients, and the amplitude ratio of the second-order components are computed as well. The numerical results correlate well with previous analytical and experimental results. Numerical results demonstrate that the second-order component can be neglected for a deep water-wave and may become significant for an intermediate depth wave.