Toth, F., & Strondl, M. (2023). Computational model order reduction for systems with radiation damping. In Forum Acusticum 2023 - 10th Convention of the European Acoustics Association (pp. 4207–4211). https://doi.org/10.61782/fa.2023.0333
E325-03 - Forschungsbereich Messtechnik und Aktorik
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Published in:
Forum Acusticum 2023 - 10th Convention of the European Acoustics Association
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Date (published):
2023
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Event name:
Forum Acusticum 2023 - 10th Convention of the European Acoustics Association
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Event date:
11-Sep-2023 - 15-Sep-2023
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Event place:
Torino, Italy
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Number of Pages:
5
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Keywords:
model order reduction; open domain; free radiation; quadratic eigenvalue problem
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Abstract:
Radiation of waves in an open domain is a common case
for many applications in acoustics. Depending on the sys-
tem, the damping effect introduced may not be negligi-
ble. When using the finite element method to model such
problems, appropriate techniques like absorbing boundary
conditions or perfectly matched layers can be applied to
achieve free field radiation despite the domain truncation.
We show how the resulting quadratic eigenvalue problem
of an acoustic system with free radiation boundary condi-
tions can be solved. The resulting eigenmodes are clas-
sified into physical modes and computational modes due
to the domain truncation. A reduced-order model is con-
structed by projection into a modal subspace. We suggest
a selection criterion for modes to include in the basis using
a similarity criterion with respect to selected full model
solutions.
We apply the model order reduction to a simple 2D ex-
ample of a Helmholtz oscillator. Both the accuracy and
performance of the strategy are evaluated, showing highly
accurate results. Due to the high computational effort for
solving the eigenvalue problem, significant performance
improvements can only be expected from the reduction
technique if many evaluations of the reduced order model
are required.
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Research Areas:
Modeling and Simulation: 50% Computational System Design: 50%