A monolithic and a partitioned Reduced Basis Method for Fluid-Structure Interaction problems
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.
Keywords
Cite
@article{arxiv.2104.09882,
title = {A monolithic and a partitioned Reduced Basis Method for Fluid-Structure Interaction problems},
author = {Monica Nonino and Francesco Ballarin and Gianluigi Rozza},
journal= {arXiv preprint arXiv:2104.09882},
year = {2021}
}