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Fluid‐structure interaction analysis by the finite element method–a variational approach
Author(s) -
Kock Ellen,
Olson Lorraine
Publication year - 1991
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.1620310305
Subject(s) - inviscid flow , finite element method , conservative vector field , fluid–structure interaction , domain (mathematical analysis) , mathematics , mixed finite element method , variety (cybernetics) , mathematical analysis , classical mechanics , physics , compressibility , mechanics , statistics , thermodynamics
We have developed a finite element method for analysing non‐linear and linear fluid‐structure interaction problems by working directly from a variational indicator based on Hamilton's principle. We restrict our analyses to inviscid, irrotational and isentropic fluid flows. The variational indicator includes the fluid potential energy due to gravity, which is often ignored. This and the fact that we consider our domain to be variable provide us with the capability to model free surfaces. We demonstrate the effectiveness of both linear and non‐linear finite element formulations in analysing a variety of fluid‐structure interaction problems.