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Numerical tests of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations

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    SYSNO ASEP0554563
    Document TypeC - Proceedings Paper (int. conf.)
    R&D Document TypeConference Paper
    TitleNumerical tests of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
    Author(s) Pires, M. (PT)
    Bodnár, Tomáš (MU-W) RID, SAI, ORCID
    Source TitleProceedings of Topical Problems of Fluid Mechanics 2021. - Prague : Institute of Thermomechanics AS CR, v. v. i., 2021 / Bodnár T. ; Neustupa T. ; Šimurda D. - ISSN 2336-5781 - ISBN 978-80-87012-76-5
    Pagess. 102-109
    Number of pages8 s.
    Publication formPrint - P
    ActionTopical Problems of Fluid Mechanics 2021
    Event date17.02.2021 - 19.02.2021
    VEvent locationon-line
    CountryCZ - Czech Republic
    Event typeWRD
    Languageeng - English
    CountryCZ - Czech Republic
    Keywordsfinite element method ; oldroyd-B fluid ; numerical stabilization ; stress diffusion
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA19-04243S GA ČR - Czech Science Foundation (CSF)
    Institutional supportMU-W - RVO:67985840
    UT WOS000853393400014
    DOI10.14311/TPFM.2021.014
    AnnotationThis work presents some numerical tests of finite element solution of incompressible Oldroyd-B fluids flows, using different types of numerical stabilization. In this study the diffusive term (Laplacian of extra stress) is added to the tensorial constitutive relation where it is multiplied by a coefficient, that is variable in time. The goal is to make this diffusion coefficient vanish in time, so that the final solution remains unaffected by the added diffusion term. A series of numerical tests was performed for the steady two-dimensional Oldroyd-B fluid flow in corrugated channel (tube) to compare different versions of the vanishing stabilization terms and assess their efficiency in enforcing the solution convergence, without affecting the final steady state.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2022
Number of the records: 1