Error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system

0575135 - MÚ 2024 RIV US eng J - Článek v odborném periodiku
Basarić, Danica - Lukáčová-Medviďová, M. - Mizerová, Hana - She, Bangwei - Yuan, Y.
Error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system.
Mathematics of Computation. Roč. 92, č. 344 (2023), s. 2543-2574. ISSN 0025-5718. E-ISSN 1088-6842
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible Navier-Stokes-Fourier system * finite volume method * error estimates * weak-strong uniqueness
Obor OECD: Pure mathematics
Impakt faktor: 2, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1090/mcom/3852

In this paper we study the convergence rate of a finite volume approximation of the compressible Navier-Stokes-Fourier system. To this end we first show the local existence of a regular unique strong solution and analyse its global extension in time as far as the density and temperature remain bounded. We make a physically reasonable assumption that the numerical density and temperature are uniformly bounded from above and below. The relative energy provides us an elegant way to derive a priori error estimates between finite volume solutions and the strong solution.
Trvalý link: https://hdl.handle.net/11104/0344993