Back
JelBVM21
Journal article

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

  • 2021
Published in:
  • International Journal for Numerical Methods in Engineering. - 2021, vol. 122, no. 24, p. 7409-7430
boundary element method
finite element method
greedy algorithm
implicit parameter dependence
reduced basis
structural acoustic interaction
open access
English 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.
Language
  • English
Classification
Applied sciences
License
CC BY-NC-ND
Identifiers
Persistent URL
https://n2t.net/ark:/51647/srd1320167
Statistics
Document views: 51 File downloads:
  • JelBVM21: 265