Higher-order time-stepping schemes for fluid-structure interaction problems

Daniele Boffi; Lucia Gastaldi; Sebastian Wolf

doi:10.3934/dcdsb.2020229

Higher-order time-stepping schemes for fluid-structure interaction problems

Daniele Boffi, Lucia Gastaldi, Sebastian Wolf

King Abdullah University of Science and Technology

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

3 Scopus citations

Abstract

We consider a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. In this paper we focus on time integration methods of second order based on backward differentiation formulae and on the Crank–Nicolson method. We show the stability properties of the resulting method; numerical tests confirm the theoretical results.

Original language	English (US)
Pages (from-to)	3807-3830
Number of pages	24
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	25
Issue number	10
DOIs	https://doi.org/10.3934/dcdsb.2020229
State	Published - Jul 30 2020

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The first and the second authors are members of the INdAM Research group GNCS and their research is partially supported by IMATI/CNR and by PRIN and by MIUR.

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10.3934/dcdsb.2020229

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abstract = "We consider a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. In this paper we focus on time integration methods of second order based on backward differentiation formulae and on the Crank–Nicolson method. We show the stability properties of the resulting method; numerical tests confirm the theoretical results.",

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AU - Gastaldi, Lucia

AU - Wolf, Sebastian

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Y1 - 2020/7/30

N2 - We consider a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. In this paper we focus on time integration methods of second order based on backward differentiation formulae and on the Crank–Nicolson method. We show the stability properties of the resulting method; numerical tests confirm the theoretical results.

AB - We consider a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. In this paper we focus on time integration methods of second order based on backward differentiation formulae and on the Crank–Nicolson method. We show the stability properties of the resulting method; numerical tests confirm the theoretical results.

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IS - 10

ER -

Higher-order time-stepping schemes for fluid-structure interaction problems

Abstract

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