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Journal Articles IMA Journal of Numerical Analysis Year : 2020

Splitting schemes and unfitted mesh methods for the coupling of an incompressible fluid with a thin-walled structure

Abstract

Two unfitted mesh methods for a linear incompressible fluid/thin-walled structure interaction problem are introduced and analyzed. The spatial discretization is based on different variants of Nitsche's method with cut elements. The degree of fluid-solid splitting (semi-implicit or explicit) is given by the order in which the space and time discretizations are performed.The a priori stability and error analysis shows that strong coupling is avoided without compromising stability and accuracy. Numerical experiments in a benchmark illustrate the accuracy of the different methods proposed.
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Dates and versions

hal-01309462 , version 1 (29-04-2016)
hal-01309462 , version 2 (03-05-2016)
hal-01309462 , version 3 (03-05-2020)

Identifiers

Cite

Miguel Angel Fernández, Mikel Landajuela. Splitting schemes and unfitted mesh methods for the coupling of an incompressible fluid with a thin-walled structure. IMA Journal of Numerical Analysis, 2020, 40 (2), pp.1407-1453. ⟨10.1093/imanum/dry098⟩. ⟨hal-01309462v3⟩
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