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A hybrid element method for steady linearized free‐surface flows
Author(s) -
Mei C. C.,
Chen H. S.
Publication year - 1976
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620100514
Subject(s) - simple (philosophy) , finite element method , surface (topology) , mathematics , mathematical analysis , harmonic , element (criminal law) , free surface , matching (statistics) , geometry , physics , mechanics , acoustics , philosophy , statistics , epistemology , political science , law , thermodynamics
It is first shown that the two‐dimensional linearized ship wave problem can be recast as the sum of a radiation and a diffraction problem for simple harmonic waves. Each problem can be solved by a hybrid element method (HEM) where conventional finite elements are used near the body and analytical solutions are used in the remaining infinite regions (super‐elements). Variational principles which incorporate the matching conditions between regular and super‐elements as natural conditions are derived. Numerical examples are presented. The theoretical aspects for extending the above ideas to a three‐dimensional ship wave problems are also described.