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Note on the problem of motion of viscous fluid around a rotating and translating rigid body

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    0540651 - MÚ 2022 RIV CZ eng J - Journal Article
    Deuring, P. - Kračmar, Stanislav - Nečasová, Šárka
    Note on the problem of motion of viscous fluid around a rotating and translating rigid body.
    Acta Polytechnica. Roč. 61, SI (2021), s. 5-13. ISSN 1210-2709. E-ISSN 1805-2363
    R&D Projects: GA ČR(CZ) GA19-04243S
    Institutional support: RVO:67985840
    Keywords : artificial boundary conditions * estimates of pressure * exterior domain * incompressible fluid
    OECD category: Pure mathematics
    Method of publishing: Open access
    https://doi.org/10.14311/AP.2021.61.0005

    We consider the linearized and nonlinear systems describing the motion of incompressible flow around a rotating and translating rigid body D in the exterior domain Ω = R3 D, where D ⊂ R3 is open and bounded, with Lipschitz boundary. We derive the L∞-estimates for the pressure and investigate the leading term for the velocity and its gradient. Moreover, we show that the velocity essentially behaves near the infinity as a constant times the first column of the fundamental solution of the Oseen system. Finally, we consider the Oseen problem in a bounded domain ΩR:= BR ∩ Ω under certain artificial boundary conditions on the truncating boundary ∂BR, and then we compare this solution with the solution in the exterior domain Ω to get the truncation error estimate.
    Permanent Link: http://hdl.handle.net/11104/0318272

     
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