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DISPLACEMENT/PRESSURE BASED MIXED FINITE ELEMENT FORMULATIONS FOR ACOUSTIC FLUID–STRUCTURE INTERACTION PROBLEMS
Author(s) -
WANG XIAODONG,
BATHE KLAUSJÜRGEN
Publication year - 1997
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/(sici)1097-0207(19970615)40:11<2001::aid-nme152>3.0.co;2-w
Subject(s) - fluid–structure interaction , finite element method , displacement (psychology) , displacement method , fluid pressure , mixed finite element method , structural engineering , acoustics , computer science , materials science , mathematics , mechanics , physics , engineering , psychology , psychotherapist
We present reliable finite element discretizations based on displacement/pressure interpolations for the analysis of acoustic fluid–structure interaction problems. The finite element interpolations are selected using the inf‐sup condition, and emphasis is given to the fact that the boundary conditions must satisfy the mass and momentum conservation. We show that with our analysis procedure no spurious non‐zero frequencies are encountered, as heretofore calculated with other displacement‐based discretizations. © 1997 by John Wiley & Sons, Ltd.