Austrian Academy of Sciences

Elektronisches Publikationsportal der Österreichischen Akademie der Wissenschaften
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    Žák, Jan Nepomuk

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    (1829 - 1896), Jurist und Politike

    Zekeli, Lukas Friedrich

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    (1823 - 1881), Paläontologe und Geolog

    Zázvorka, Antonín

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    (1866 - 1937), Politiker, Funktionär und Landwir

    Beer, Joseph Georg

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    (1803 - 1873), Botaniker und Handelsman

    Wostry, Carlo

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    (1865 - 1943), Maler und Graphike

    An unconditionally stable semi-implicit CutFEM for an interaction problem between an elastic membrane and an incompressible fluid. ETNA - Electronic Transactions on Numerical Analysis

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    In this paper we introduce a finite element method for the Stokes equations with a massless immersed membrane. This membrane applies normal and tangential forces affecting the velocity and pressure of the fluid. Additionally, the points representing this membrane move with the local fluid velocity. We design and implement a high-accuracy cut finite element method (CutFEM) which enables the use of a structured mesh that is not aligned with the immersed membrane, and we formulate a time discretization that yields an unconditionally energy stable scheme. We prove that the stability is not restricted by the parameter choices that constrained previous finite element immersed boundary methods and illustrate the theoretical results with numerical simulations

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    Elektronisches Publikationsportal der Österreichischen Akademie der Wissenschaften is based in Austria
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