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A convergent numerical method for the Navier-Stokes-Fourier system

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00463608" target="_blank" >RIV/67985840:_____/16:00463608 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1093/imanum/drv049" target="_blank" >http://dx.doi.org/10.1093/imanum/drv049</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1093/imanum/drv049" target="_blank" >10.1093/imanum/drv049</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A convergent numerical method for the Navier-Stokes-Fourier system

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2016

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    IMA Journal of Numerical Analysis

  • ISSN

    0272-4979

  • e-ISSN

  • Volume of the periodical

    36

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    59

  • Pages from-to

    1477-1535

  • UT code for WoS article

    000386133600001

  • EID of the result in the Scopus database

    2-s2.0-84991021316