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arXiv · 2104.09882

A monolithic and a partitioned Reduced Basis Method for Fluid-Structure Interaction problems

Monica Nonino·Francesco Ballarin·Gianluigi Rozza
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Abstract

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.

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Monica Nonino, Francesco Ballarin, Gianluigi Rozza. 2021-04-20. A monolithic and a partitioned Reduced Basis Method for Fluid-Structure Interaction problems. https://doi.org/10.3390/fluids6060229

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