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An efficient scaled boundary FEM model for wave interaction with a nonuniform porous cylinder
Author(s) -
Song Hao,
Tao Longbin
Publication year - 2009
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2080
Subject(s) - cylinder , finite element method , boundary value problem , porosity , boundary (topology) , mathematical analysis , geometry , mathematics , fluid–structure interaction , anisotropy , mechanics , physics , structural engineering , engineering , geotechnical engineering , optics
The scaled boundary finite‐element method (SBFEM) by Tao et al . ( Comput. Methods Appl. Mech. Engrg 2007; 197 :232–242) is only applicable for wave scattering problems by a structure of homogenous material. In this paper, the SBFEM is extended to deal with the interaction of water waves and porous offshore structure with a partially solid wall or opening. The cylindrical structure is considered as a circular cylinder of anisotropic material in the form of variable porosity. A central feature of the newly extended method is that the non‐homogenous term caused by the complex configuration of the structure is processed by introducing a variable porous‐effect parameter G . This leads to the final scaled boundary finite‐element equation is still homogenous and can be solved in a similar manner. The modified SBFEM thus remains a semi‐analytical fundamental‐solution‐less method. Numerical experiments in water wave interaction with a typical coastal/offshore structure—a cylinder with a partially solid wall or opening attest to the efficacy and accuracy of the proposed approach. Copyright © 2009 John Wiley & Sons, Ltd.