Higher-order time-stepping schemes for fluid-structure interaction problems
KAUST DepartmentComputer, 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
Online Publication Date2020-07-30
Print Publication Date2020
Embargo End Date2021-07-30
Permanent link to this recordhttp://hdl.handle.net/10754/665360
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AbstractWe 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.
CitationBoffi, 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
SponsorsThe 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.