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On numerical approximations to fluid-structure interactions involving compressible fluids

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    SYSNO ASEP0556687
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleOn numerical approximations to fluid-structure interactions involving compressible fluids
    Author(s) Schwarzacher, S. (CZ)
    She, Bangwei (MU-W) SAI, RID, ORCID
    Source TitleNumerische Mathematik - ISSN 0029-599X
    Roč. 151, č. 1 (2022), s. 219-278
    Number of pages60 s.
    Languageeng - English
    CountryDE - Germany
    Keywordsnumerical approximations ; fluid-structure interaction problem ; compressible barotropic fluid
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    Method of publishingLimited access
    Institutional supportMU-W - RVO:67985840
    UT WOS000777315500001
    EID SCOPUS85127453861
    DOI10.1007/s00211-022-01275-2
    AnnotationIn this paper we introduce a numerical scheme for fluid–structure interaction problems in two or three space dimensions. A flexible elastic plate is interacting with a viscous, compressible barotropic fluid. Hence the physical domain of definition (the domain of Eulerian coordinates) is changing in time. We introduce a fully discrete scheme that is stable, satisfies geometric conservation, mass conservation and the positivity of the density. We also prove that the scheme is consistent with the definition of continuous weak solutions.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2023
    Electronic addresshttps://doi.org/10.1007/s00211-022-01275-2
Number of the records: 1  

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