Higher-order time-stepping schemes for fluid-structure interaction problems
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ArticleKAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionComputer, Electrical and Mathematical Sciences and Engineering King Abdullah University of Science and Technology Thuwal 23955-6900, Saudi Arabia
Date
2020-07-30Online Publication Date
2020-07-30Print Publication Date
2020Embargo End Date
2021-07-30Submitted Date
2019-06Permanent link to this record
http://hdl.handle.net/10754/665360
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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.2020229Sponsors
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.arXiv
1907.00406Additional Links
http://aimsciences.org//article/doi/10.3934/dcdsb.2020229ae974a485f413a2113503eed53cd6c53
10.3934/dcdsb.2020229