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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00575135" target="_blank" >RIV/67985840:_____/23:00575135 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1090/mcom/3852" target="_blank" >https://doi.org/10.1090/mcom/3852</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/mcom/3852" target="_blank" >10.1090/mcom/3852</a>

Result language
angličtina
Original language name
Error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA21-02411S" target="_blank" >GA21-02411S: Solving ill posed problems in the dynamics of compressible fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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