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A convergent numerical method for the Navier-Stokes-Fourier system

  1. 1. 0463608 - MU-W 2017 RIV GB eng J - Článek v odborném periodiku
    Feireisl, Eduard - Karper, T. - Novotný, A.
    A convergent numerical method for the Navier-Stokes-Fourier system.
    IMA Journal of Numerical Analysis. Roč. 36, č. 4 (2016), s. 1477-1535 ISSN 0272-4979
    GRANT EU: European Commission(XE) 320078 - MATHEF
    Institucionální podpora: RVO:67985840
    Klíčová slova: Navier-Stokes-Fourier system * Crouzeix-Raviart finite element method * finite volume method
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.703, rok: 2016
    http://imajna.oxfordjournals.org/content/36/4/1477

    We propose a numerical method for solving the full Navier–Stokes–Fourier system describing the evolution of a compressible, viscous and heat conducting fluid. We use the finite volume method for approximating the convective terms, while the finite element method based on the Crouzeix–Raviart finite elements is used to approximate the viscous stress. The numerical solutions are shown to converge, up to a subsequence, to a suitable weak solution of the problem.
    Trvalý link: http://hdl.handle.net/11104/0262751
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