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

Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi

doi:10.3390/fluids6060229

Cited by 18 publications

(22 citation statements)

References 65 publications

(101 reference statements)

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“…the one for the rigid case. 47 For some application it may be important also to understand the effectiveness of the reconstruction as a function of the spatial coordinate x. For this reason, we have also computed the component-wise relative error field, which assumes the following expression:…”

Section: Reduced Order Model Resultsmentioning

confidence: 99%

“…This approach could also be integrated with a semi-implicit scheme for the treatment of the coupling conditions between fluid and solid. 47 Furthermore, the reduced method we used depends on the number of degrees of freedom of the high fidelity problem. Consequently, one possible development concerns the implementation of hyper-reduction strategies that guarantee a more efficient decoupling between the offline and online phases, in order to obtain a more significant speedup.…”

Section: Discussionmentioning

confidence: 99%

“…In addition to providing a replicable benchmark for future investigation in the multi-physics context, we tested a reconstruction using the RB method, which has been proven to be effective for FSI problems. [44][45][46][47][48][49]…”

Section: Related Workmentioning

confidence: 99%

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Model order reduction for bifurcating phenomena in fluid‐structure interaction problems

Khamlich

Pichi

Rozza

2022

Numerical Methods in Fluids

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This work explores the development and the analysis of an efficient reduced order model for the study of a bifurcating phenomenon, known as the Coandă effect, in a multi‐physics setting involving fluid and solid media. Taking into consideration a fluid‐structure interaction problem, we aim at generalizing previous works towards a more reliable description of the physics involved. In particular, we provide several insights on how the introduction of an elastic structure influences the bifurcating behavior. We have addressed the computational burden by developing a reduced order branch‐wise algorithm based on a monolithic proper orthogonal decomposition. We compared different constitutive relations for the solid, and we observed that a nonlinear hyper‐elastic law delays the bifurcation w.r.t. the standard model, while the same effect is even magnified when considering linear elastic solid.

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Section: Reduced Order Model Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Model order reduction for bifurcating phenomena in fluid‐structure interaction problems

Khamlich

Pichi

Rozza

2022

Numerical Methods in Fluids

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“…A new form of two-way coupling FSI modelling for a three-dimensional model for an asymmetric serpentine was introduced by using COMSOL and an arbitrary Lagrangian-Eulerian (ALE) method [24]. The reduced basis method (RBM) was integrated with the FSI modelling approaches to solve the complicated coupled problems in a more efficient manner [25,26]. However, the focus should lie on implementation of a separate method into existing modelling techniques, especially remeshing process.…”

Section: Introductionmentioning

confidence: 99%

“…However, few comparative studies have been conducted to anticipate the aerodynamic and structural performance of the wing concerning the aeroelastic characteristics. Furthermore, limitations of the FSI modelling approaches have been found in previous studies [24][25][26]36], such as that the additional resources required to develop an code for specific problems which may take a substantial amount of time. Focus should also be placed on integration of the separate code into the existing coupling process between CFD and FEA and stability of the correlation of fluid and structural algorithms.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation and Fluid-Structure Interaction (FSI) Analysis on a Double-Element Simplified Formula One (F1) Composite Wing in the Presence of Ground Effect

Bang

Rana

Könözsy

et al. 2022

Fluids

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This research paper focuses on a novel coupling of the aerodynamic and structural behaviour of a double-element composite front wing of a Formula One (F1) vehicle, which was simulated and studied for the first time here. To achieve this goal, a modified two-way coupling method was employed in the context of high performance computing (HPC) to simulate a steady-state fluid-structure interaction (FSI) configuration using the ANSYS software package. The front wing plays a key role in generating aerodynamic forces and controlling the fresh airflow to maximise the aerodynamic performance of an F1 car. Therefore, the composite front wing becomes deflected under aerodynamic loading conditions due to its elastic behaviour which can lead to changes in the flow field and the aerodynamic performance of the wing. To reduce the uncertainty of the simulations, a grid sensitivity study and the assessment of different engineering turbulence models were carried out. The practical contribution of our investigations is the quantification of the coupled effect of the aerodynamic and structural performance of the wing and an understanding of the influence of ride heights on the ground effect. It was found that the obtained numerical surface pressure distributions, the aerodynamic forces, and the wake profiles show an accurate agreement with experimental data taken from the literature.

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Adjacency‐based, non‐intrusive reduced‐order modeling for fluid‐structure interactions

Gkimisis,

Richter,

Benner

2023

Proc Appl Math and Mech

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Non‐intrusive model reduction is a promising solution to system dynamics prediction, especially in cases where data are collected from experimental campaigns or proprietary software simulations. In this work, we present a method for non‐intrusive model reduction applied to Fluid‐Structure Interaction (FSI) problems. The approach is based on the a priori known sparsity of the full‐order system operators, which is dictated by grid adjacency information. In order to enforce this type of sparsity, we solve a “local”, regularized least‐squares problem for each degree of freedom on a grid, considering only the training data from adjacent degrees of freedom (DoFs), thus making computation and storage of the inferred full‐order operators feasible. After constructing the non‐intrusive, sparse full‐order model (FOM), Proper Orthogonal Decomposition (POD) is used for its projection to a reduced dimension subspace and thus the construction of a reduced‐order model (ROM). The methodology is applied to the challenging Hron‐Turek benchmark FSI3, for Re = 200. A physics‐informed, non‐intrusive ROM is constructed to predict the two‐way coupled dynamics of a solid with a deformable, slender tail, subject to an incompressible, laminar flow. Results considering the accuracy and predictive capabilities of the inferred reduced models are discussed.

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

Cited by 18 publications

References 65 publications

Model order reduction for bifurcating phenomena in fluid‐structure interaction problems

Model order reduction for bifurcating phenomena in fluid‐structure interaction problems

Numerical Investigation and Fluid-Structure Interaction (FSI) Analysis on a Double-Element Simplified Formula One (F1) Composite Wing in the Presence of Ground Effect

Adjacency‐based, non‐intrusive reduced‐order modeling for fluid‐structure interactions

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