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A convergent numerical method for the Navier-Stokes-Fourier system
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SYSNO ASEP 0463608 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A convergent numerical method for the Navier-Stokes-Fourier system Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Karper, T. (NO)
Novotný, A. (FR)Source Title IMA Journal of Numerical Analysis. - : Oxford University Press - ISSN 0272-4979
Roč. 36, č. 4 (2016), s. 1477-1535Number of pages 59 s. Language eng - English Country GB - United Kingdom Keywords Navier-Stokes-Fourier system ; Crouzeix-Raviart finite element method ; finite volume method Subject RIV BA - General Mathematics Institutional support MU-W - RVO:67985840 UT WOS 000386133600001 EID SCOPUS 84991021316 DOI 10.1093/imanum/drv049 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2017
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