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Convergence of a finite volume scheme for the compressible Navier-Stokes system
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SYSNO ASEP 0511292 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Convergence of a finite volume scheme for the compressible Navier-Stokes system Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Lukáčová-Medviďová, M. (DE)
Mizerová, Hana (MU-W) SAI, RID
She, Bangwei (MU-W) SAI, RID, ORCIDSource Title E S A I M: Mathematical Modelling and Numerical Analysis - ISSN 0764-583X
Roč. 53, č. 6 (2019), s. 1957-1979Number of pages 23 s. Language eng - English Country FR - France Keywords compressible Navier–Stokes system ; convergence ; dissipative measure valued solution ; finite volume method Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA16-03230S GA ČR - Czech Science Foundation (CSF) GA18-05974S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000502382700001 EID SCOPUS 85079742610 DOI https://doi.org/10.1051/m2an/2019043 Annotation We study convergence of a finite volume scheme for the compressible (barotropic) Navier–Stokes system. First we prove the energy stability and consistency of the scheme and show that the numerical solutions generate a dissipative measure-valued solution of the system. Then by the dissipative measure-valued-strong uniqueness principle, we conclude the convergence of the numerical solution to the strong solution as long as the latter exists. Numerical experiments for standard benchmark tests support our theoretical results. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2020 Electronic address http://dx.doi.org/10.1051/m2an/2019043
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