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

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Type
Article
Authors
Boffi, Daniele cc
Gastaldi, Lucia
Wolf, Sebastian
KAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Computer, Electrical and Mathematical Sciences and Engineering King Abdullah University of Science and Technology Thuwal 23955-6900, Saudi Arabia
Date
2020-07-30
Online Publication Date
2020-07-30
Print Publication Date
2020
Embargo End Date
2021-07-30
Submitted Date
2019-06
Permanent link to this record
http://hdl.handle.net/10754/665360

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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.
Citation
Boffi, D., Gastaldi, L., & Wolf, S. (2020). Higher-order time-stepping schemes for fluid-structure interaction problems. Discrete & Continuous Dynamical Systems - B, 25(10), 3807–3830. doi:10.3934/dcdsb.2020229
Sponsors
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.
Publisher
American Institute of Mathematical Sciences (AIMS)
Journal
Discrete and Continuous Dynamical Systems - Series B
DOI
10.3934/dcdsb.2020229
arXiv
1907.00406
Additional Links
http://aimsciences.org//article/doi/10.3934/dcdsb.2020229
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Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division