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.
Originalsprache | Englisch |
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Seiten (von - bis) | 7409-7430 |
Seitenumfang | 22 |
Fachzeitschrift | International Journal for Numerical Methods in Engineering |
Jahrgang | 122 |
Ausgabenummer | 24 |
DOIs | |
Publikationsstatus | Veröffentlicht - 30 Dez. 2021 |