Solving water wave diffraction by an elliptic cylinder using scaled boundary finite element method

Longbin Tao, Hao Song


The scaled boundary finite element method (SBFEM), a novel semi-analytical mathematical method, is modified to solve the water wave interaction with an elliptic cylinder. By introducing a virtual circular cylinder surrounding the elliptic cylinder, the whole fluid domain is divided into one unbounded subdomain and several bounded subdomains. The corresponding boundary value problems in bounded and unbounded domains are solved by the SBFEM semi-analytically. Comparisons to the previous numerical solutions demonstrate excellent computational accuracy and efficiency of the present SBFEM approach, as well as the benefit of not suffering from the difficulties of irregular frequency, which are often encountered by the boundary element method. The method can be extended to solve more complex wave structure interaction problems resulting in direct engineering applications.

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