Convergence of a finite volume scheme for the compressible Navier-Stokes system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00511292" target="_blank" >RIV/67985840:_____/19:00511292 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1051/m2an/2019043" target="_blank" >http://dx.doi.org/10.1051/m2an/2019043</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/m2an/2019043" target="_blank" >10.1051/m2an/2019043</a>

Result language
angličtina
Original language name
Convergence of a finite volume scheme for the compressible Navier-Stokes system
Original language description
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.
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
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OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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