On the interface matrix for fluid–structure interaction problems with fictitious domain approach

Daniele Boffi; Fabio Credali; Lucia Gastaldi

doi:10.1016/j.cma.2022.115650

On the interface matrix for fluid–structure interaction problems with fictitious domain approach

Daniele Boffi, Fabio Credali^*, Lucia Gastaldi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We study a recent formulation for fluid–structure interaction problems based on the use of a distributed Lagrange multiplier in the spirit of the fictitious domain approach. In this paper, we focus our attention on a crucial computational aspect regarding the interface matrix for the finite element discretization: it involves integration of functions supported on two different meshes. Several numerical tests show that accurate computation of the interface matrix has to be performed in order to ensure the optimal convergence of the method.

Original language	English (US)
Article number	115650
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	401
DOIs	https://doi.org/10.1016/j.cma.2022.115650
State	Published - Nov 1 2022

Bibliographical note

Funding Information:
The three authors are member of INdAM Research group GNCS and their research is partially supported by IMATI/CNR . Boffi and Gastaldi are partially supported by PRIN/MIUR .

Publisher Copyright:
© 2022 Elsevier B.V.

Keywords

Fictitious domain
Fluid–structure interaction
Mesh intersection
Non-matching grids

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/j.cma.2022.115650

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title = "On the interface matrix for fluid–structure interaction problems with fictitious domain approach",

abstract = "We study a recent formulation for fluid–structure interaction problems based on the use of a distributed Lagrange multiplier in the spirit of the fictitious domain approach. In this paper, we focus our attention on a crucial computational aspect regarding the interface matrix for the finite element discretization: it involves integration of functions supported on two different meshes. Several numerical tests show that accurate computation of the interface matrix has to be performed in order to ensure the optimal convergence of the method.",

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author = "Daniele Boffi and Fabio Credali and Lucia Gastaldi",

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AU - Boffi, Daniele

AU - Credali, Fabio

AU - Gastaldi, Lucia

N1 - Funding Information: The three authors are member of INdAM Research group GNCS and their research is partially supported by IMATI/CNR . Boffi and Gastaldi are partially supported by PRIN/MIUR . Publisher Copyright: © 2022 Elsevier B.V.

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N2 - We study a recent formulation for fluid–structure interaction problems based on the use of a distributed Lagrange multiplier in the spirit of the fictitious domain approach. In this paper, we focus our attention on a crucial computational aspect regarding the interface matrix for the finite element discretization: it involves integration of functions supported on two different meshes. Several numerical tests show that accurate computation of the interface matrix has to be performed in order to ensure the optimal convergence of the method.

AB - We study a recent formulation for fluid–structure interaction problems based on the use of a distributed Lagrange multiplier in the spirit of the fictitious domain approach. In this paper, we focus our attention on a crucial computational aspect regarding the interface matrix for the finite element discretization: it involves integration of functions supported on two different meshes. Several numerical tests show that accurate computation of the interface matrix has to be performed in order to ensure the optimal convergence of the method.

KW - Fictitious domain

KW - Fluid–structure interaction

KW - Mesh intersection

KW - Non-matching grids

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DO - 10.1016/j.cma.2022.115650

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SN - 0045-7825

VL - 401

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

M1 - 115650

ER -

On the interface matrix for fluid–structure interaction problems with fictitious domain approach

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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