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

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    0463608 - MÚ 2017 RIV GB eng J - Journal Article
    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. E-ISSN 1464-3642
    EU Projects: European Commission(XE) 320078 - MATHEF
    Institutional support: RVO:67985840
    Keywords : Navier-Stokes-Fourier system * Crouzeix-Raviart finite element method * finite volume method
    Subject RIV: BA - General Mathematics
    Impact factor: 1.703, year: 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.
    Permanent Link: http://hdl.handle.net/11104/0262751

     
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