Multiphysics model reduction of symmetric vibro-acoustic formulation with a priori error estimation criteria

Soo Min Kim, Soo Won Chae, Jin Gyun Kim

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)5381-5404
Number of pages24
JournalInternational Journal for Numerical Methods in Engineering
Issue number23
Publication statusPublished - 2020 Dec 15


  • a priori error estimator
  • fluid-structure interaction
  • mode selection
  • multiphysics mode synthesis
  • reduced-order modeling
  • structure-acoustic interaction

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics


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