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

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    Thumbnail
    Name:
    paper-2.pdf
    Size:
    2.787Mb
    Format:
    PDF
    Description:
    Accepted Manuscript
    Embargo End Date:
    2021-07-30
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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
    ae974a485f413a2113503eed53cd6c53
    10.3934/dcdsb.2020229
    Scopus Count
    Collections
    Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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