A fully decoupled scheme for the interaction of a thin-walled structure with an incompressible fluid

Miguel Ángel Fernández; Mikel Landajuela

doi:10.1016/j.crma.2013.02.015

Numerical Analysis/Mathematical Problems in Mechanics

A fully decoupled scheme for the interaction of a thin-walled structure with an incompressible fluid

Presented by: the Editorial Board

Miguel Ángel Fernández ^1,²; Mikel Landajuela ^1,²

¹ Inria, REO team, Rocquencourt, BP 105, 78153 Le Chesnay cedex, France
² Université Pierre-et-Marie-Curie (Paris-6), REO team, laboratoire Jacques-Louis-Lions, UMR 7598, 4, place Jussieu, 75252 Paris cedex 05, France

Comptes Rendus. Mathématique, Volume 351 (2013) no. 3-4, pp. 161-164.

Abstract
Résumé

In this note we propose a class of fully decoupled schemes (velocity–pressure–displacement splitting) for the coupling of an incompressible fluid with a thin-walled structure. The time splitting is achieved by combining an overall fractional-step time-marching of the system with a specific Robin–Neumann treatment of the interface coupling. The two variants considered yield unconditional stability. Numerical experiments in a benchmark show that, for one of them, the splitting does not compromises the optimal convergence rate.

Dans cette note, nous proposons un type de schéma totalement découplé (vitesse–pression–déplacement) pour le couplage dʼun fluide incompressible avec une structure mince. Le découplage en temps est obtenu en combinant un schéma à pas fractionnaire sur lʼensemble du système avec un traitement spécifique Robin–Neumann des conditions dʼinterface. Les deux variantes considérées sont inconditionnellement stables. Des expériences numériques montrent que, pour lʼune dʼelles, on obtient un taux de convergence optimal.

Received: 2013-02-05
Accepted: 2013-02-28
Published online: 2013-02-01

DOI: 10.1016/j.crma.2013.02.015

Author's affiliations:

Miguel Ángel Fernández ^{1, 2}; Mikel Landajuela ^{1, 2}

¹ Inria, REO team, Rocquencourt, BP 105, 78153 Le Chesnay cedex, France
² Université Pierre-et-Marie-Curie (Paris-6), REO team, laboratoire Jacques-Louis-Lions, UMR 7598, 4, place Jussieu, 75252 Paris cedex 05, France

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     title = {A fully decoupled scheme for the interaction of a thin-walled structure with an incompressible fluid},
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Miguel Ángel Fernández; Mikel Landajuela. A fully decoupled scheme for the interaction of a thin-walled structure with an incompressible fluid. Comptes Rendus. Mathématique, Volume 351 (2013) no. 3-4, pp. 161-164. doi : 10.1016/j.crma.2013.02.015. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.02.015/

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Cited by Sources:

^☆ This work has been supported by the French National Research Agency (ANR) through the EXIFSI project (ANR-12-JS01-0004).

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