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Article

A Monolithic and a Partitioned, Reduced Basis Method for Fluid–Structure Interaction Problems

1
Department of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria
2
Department of Mathematics and Physics, Catholic University of the Sacred Heart, Via Musei 41, 25121 Brescia, Italy
3
Mathematics Area, MathLab, International School for Advanced Studies (SISSA), Via Bonomea 265, 34136 Trieste, Italy
*
Author to whom correspondence should be addressed.
Academic Editors: Iman Borazjani and Vrishank Raghav
Fluids 2021, 6(6), 229; https://doi.org/10.3390/fluids6060229
Received: 19 April 2021 / Revised: 11 June 2021 / Accepted: 12 June 2021 / Published: 19 June 2021
(This article belongs to the Special Issue Fluid Structure Interaction: Methods and Applications)
The aim of this work is to present an overview about the combination of the Reduced Basis Method (RBM) with two different approaches for Fluid–Structure Interaction (FSI) problems, namely a monolithic and a partitioned approach. We provide the details of implementation of two reduction procedures, and we then apply them to the same test case of interest. We first implement a reduction technique that is based on a monolithic procedure where we solve the fluid and the solid problems all at once. We then present another reduction technique that is based on a partitioned (or segregated) procedure: the fluid and the solid problems are solved separately and then coupled using a fixed point strategy. The toy problem that we consider is based on the Turek–Hron benchmark test case, with a fluid Reynolds number Re=100. View Full-Text
Keywords: fluid–structure interaction; reduced basis method; proper orthogonal decomposition; monolithic approach; partitioned approach; Navier–Stokes; linear elasticity fluid–structure interaction; reduced basis method; proper orthogonal decomposition; monolithic approach; partitioned approach; Navier–Stokes; linear elasticity
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MDPI and ACS Style

Nonino, M.; Ballarin, F.; Rozza, G. A Monolithic and a Partitioned, Reduced Basis Method for Fluid–Structure Interaction Problems. Fluids 2021, 6, 229. https://doi.org/10.3390/fluids6060229

AMA Style

Nonino M, Ballarin F, Rozza G. A Monolithic and a Partitioned, Reduced Basis Method for Fluid–Structure Interaction Problems. Fluids. 2021; 6(6):229. https://doi.org/10.3390/fluids6060229

Chicago/Turabian Style

Nonino, Monica, Francesco Ballarin, and Gianluigi Rozza. 2021. "A Monolithic and a Partitioned, Reduced Basis Method for Fluid–Structure Interaction Problems" Fluids 6, no. 6: 229. https://doi.org/10.3390/fluids6060229

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