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The fractal finite element method for added‐mass‐type problems
Author(s) -
Leung A. Y. T.,
Fok A. S. L.,
Dai H.,
Su R. K. L.
Publication year - 2008
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.2294
Subject(s) - finite element method , type (biology) , fractal , added mass , vibration , shell (structure) , mathematics , extended finite element method , mixed finite element method , mathematical analysis , structural engineering , mechanics , geometry , physics , engineering , mechanical engineering , geology , paleontology , quantum mechanics
The fractal finite element method (FFEM), originally developed for calculating stress intensity factors in fracture mechanics problems, has been extended to analyse fluid–structure interaction in the form of added‐mass‐type problems. These include the free vibration of a submerged spherical shell and the interaction between a dam and a reservoir. For the former problem, the numerical solution from the FFEM agrees well with the analytical solution, and the FFEM performed better than conventional finite elements and infinite elements in terms of efficiency. For the latter problem, the FFEM predicted an added mass profile that is different from that based on Westergaard's parabolic solution. Copyright © 2008 John Wiley & Sons, Ltd.