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Error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system
- 1.0575135 - MÚ 2024 RIV US eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : compressible Navier-Stokes-Fourier system * finite volume method * error estimates * weak-strong uniqueness
OECD category: Pure mathematics
Impact factor: 2.2, year: 2023
Method of publishing: Limited access
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.
Permanent Link: https://hdl.handle.net/11104/0344993
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