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Multiphysics model reduction of symmetric vibro‐acoustic formulation with a priori error estimation criteria
Author(s) -
Kim Soo Min,
Chae SooWon,
Kim JinGyun
Publication year - 2020
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.6524
Subject(s) - multiphysics , a priori and a posteriori , estimator , displacement (psychology) , modal , reduction (mathematics) , coupling (piping) , fluid–structure interaction , mathematics , finite element method , algorithm , computer science , engineering , structural engineering , geometry , mechanical engineering , materials science , psychology , philosophy , statistics , epistemology , polymer chemistry , psychotherapist
Summary A new multiphysics mode synthesis (MMS) is presented for the construction of reduced‐order models of acoustic fluid‐structure interaction systems. The present acoustic‐structure interaction model is symmetric and consists of the fluid pressure p , the fluid displacement potential φ , and the structural displacement u . In carrying out MMS, the structure is first reduced, which is then applied to the coupling terms in the acoustic ( p , φ )‐equations. The fluid parts ( p , φ ) are then reduced while preserving the coupling effects, resulting in improved accuracy. A combination of a priori modal contribution indicator and cumulative error estimator are derived from the moment matching approach that provides rational criteria for how many structural and fluid modes need to be retained for the construction of reduced models. An iterative MMS algorithm is then proposed by combining the modal indicators and error estimators. The performance of the proposed MMS method is illustrated via numerical examples.