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An entropy stable finite volume method for a compressible two phase model

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00573342" target="_blank" >RIV/67985840:_____/23:00573342 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.21136/AM.2023.0041-22" target="_blank" >https://doi.org/10.21136/AM.2023.0041-22</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.21136/AM.2023.0041-22" target="_blank" >10.21136/AM.2023.0041-22</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    An entropy stable finite volume method for a compressible two phase model

  • Original language description

    We study a binary mixture of compressible viscous fluids modelled by the Navier-Stokes-Allen-Cahn system with isentropic or ideal gas law. We propose a finite volume method for the approximation of the system based on upwinding and artificial diffusion approaches. We prove the entropy stability of the numerical method and present several numerical experiments to support the theory.

  • Czech name

  • Czech description

Classification

  • 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

Result continuities

  • 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

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Applications of Mathematics

  • ISSN

    0862-7940

  • e-ISSN

    1572-9109

  • Volume of the periodical

    68

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    17

  • Pages from-to

    467-483

  • UT code for WoS article

    000962689100001

  • EID of the result in the Scopus database

    2-s2.0-85151505895