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The application of finite element analysis to the solution of Stokes wave diffraction problems
Author(s) -
Clark P. J.,
Bettess P.,
Hearn G. E.,
Downie M. J.
Publication year - 1991
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.1650120404
Subject(s) - diffraction , finite element method , boundary value problem , cylinder , wave loading , stokes wave , velocity potential , field (mathematics) , mathematical analysis , mathematics , free surface , geometry , physics , mechanics , submarine pipeline , wave propagation , optics , breaking wave , engineering , geotechnical engineering , pure mathematics , thermodynamics
A new finite‐element based method of calculating non‐linear wave loads on offshore structures in extreme seas is presented in this paper. The diffraction wave field is modelled using Stokes wave theory developed to second order. Wave loads and free surface elevations are obtained for fixed surface‐piercing structures by solving a boundary value problem for the second‐order velocity potential. Special attention has been given to the radiation condition for the second‐order diffraction field. Results are presented for three test examples, the vertical cylinders of Kim and Yue and of Chakrabarti, and an elliptic cylinder. These results demonstrate that early problems with the application of second‐order theory arising from inadequate radiation conditions have been overcome.