A reduced‐order representation of the Poincaré–Steklov operator: an application to coupled multi‐physics problems

Summary This work investigates a model reduction method applied to coupled multi‐physics systems. The case in which a system of interest interacts with an external system is considered. An approximation of the Poincaré–Steklov operator is computed by simulating, in an offline phase, the external pro...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2017-08, Vol.111 (6), p.581-600
Main Authors: Aletti, Matteo, Lombardi, Damiano
Format: Article
Language:English
Subjects:
Analysis of PDEs
Approximation
Computer simulation
Couplings
Eigenvectors
elasticity
fluid–structure interaction
Mathematics
Model reduction
Navier–Stokes
Numerical Analysis
On-line systems
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Summary:Summary This work investigates a model reduction method applied to coupled multi‐physics systems. The case in which a system of interest interacts with an external system is considered. An approximation of the Poincaré–Steklov operator is computed by simulating, in an offline phase, the external problem when the inputs are the Laplace–Beltrami eigenfunctions defined at the interface. In the online phase, only the reduced representation of the operator is needed to account for the influence of the external problem on the main system. An online basis enrichment is proposed in order to guarantee a precise reduced‐order computation. Several test cases are proposed on different fluid–structure couplings. Copyright © 2016 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.5490