A greedy reduced basis algorithm for structural acoustic systems with parameter and implicit frequency dependence

Christopher Jelich, Suhaib Koji Baydoun, Matthias Voigt, Steffen Marburg

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

13 Zitate (Scopus)

Abstract

In this article, a greedy reduced basis algorithm is proposed for the solution of structural acoustic systems with parameter and implicit frequency dependence. The underlying equations of linear time-harmonic elastodynamics and acoustics are discretized using the finite element and boundary element method, respectively. The solution within the parameter domain is determined by a linear combination of reduced basis vectors. This basis is generated iteratively and given by the responses of the structural acoustic system at certain parameter samples. A greedy approach is followed by evaluating the next basis vector at the parameter sample which is currently approximated worst. The algorithm runs on a small training set which bounds the memory requirements and allows applications to large-scale problems with high-dimensional parameter domains. The computational efficiency of the proposed scheme is illustrated based on two numerical examples: a point-excited spherical shell submerged in water and a satellite structure subject to a diffuse sound pressure field excitation.

OriginalspracheEnglisch
Seiten (von - bis)7409-7430
Seitenumfang22
FachzeitschriftInternational Journal for Numerical Methods in Engineering
Jahrgang122
Ausgabenummer24
DOIs
PublikationsstatusVeröffentlicht - 30 Dez. 2021

Fingerprint

Untersuchen Sie die Forschungsthemen von „A greedy reduced basis algorithm for structural acoustic systems with parameter and implicit frequency dependence“. Zusammen bilden sie einen einzigartigen Fingerprint.

Dieses zitieren