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Penalization method for the Navier-Stokes-Fourier system

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    0561461 - MÚ 2023 RIV FR eng J - Článek v odborném periodiku
    Basarić, Danica - Feireisl, Eduard - Lukáčová-Medviďová, M. - Mizerová, Hana - Yuan, Y.
    Penalization method for the Navier-Stokes-Fourier system.
    E S A I M: Mathematical Modelling and Numerical Analysis. Roč. 56, č. 6 (2022), s. 1911-1938. ISSN 0764-583X. E-ISSN 1290-3841
    Grant CEP: GA ČR(CZ) GA21-02411S
    Institucionální podpora: RVO:67985840
    Klíčová slova: Navier-Stokes-Fourier system * penalization method * Dirichlet problem * finite volume method
    Obor OECD: Pure mathematics
    Impakt faktor: 1.716, rok: 2020
    Způsob publikování: Open access
    https://doi.org/10.1051/m2an/2022063

    We apply the method of penalization to the Dirichlet problem for the Navier-Stokes-Fourier system governing the motion of a general viscous compressible fluid confined to a bounded Lipschitz domain. The physical domain is embedded into a large cube on which the periodic boundary conditions are imposed. The original boundary conditions are enforced through a singular friction term in the momentum equation and a heat source/sink term in the internal energy balance. The solutions of the penalized problem are shown to converge to the solution of the limit problem. In particular, we extend the available existence theory to domains with rough (Lipschitz) boundary. Numerical experiments are performed to illustrate the efficiency of the method.
    Trvalý link: https://hdl.handle.net/11104/0334074

     
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