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Comparison of numerical methods for the solution of viscous incompressible and low Mach number compressible flow

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00010669%3A_____%2F18%3AN0000074" target="_blank" >RIV/00010669:_____/18:N0000074 - isvavai.cz</a>

  • Alternative codes found

    RIV/61388998:_____/18:00492115 RIV/68407700:21220/18:00330200 RIV/00216208:11320/18:10384489

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/abs/pii/S0045793018303918?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0045793018303918?via%3Dihub</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.compfluid.2018.07.002" target="_blank" >10.1016/j.compfluid.2018.07.002</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Comparison of numerical methods for the solution of viscous incompressible and low Mach number compressible flow

  • Original language description

    The novelty of the paper is the application of the discontinuous Galerkin method (DGM) to the solution of viscous compressible flow with low Mach number. The compressible Navier–Stokes equations are written in the conservative form using conservative variables. They are discretized by the DGM in space. In time we use either the backward difference formula (BDF) or the discontinuous Galerkin method. The resulting technique is called the space-time discontinuous Galerkin method (STDGM). The goal of the presented analysis is to prove the ability of the developed DGM to solve viscous compressible low Mach number flows described by the compressible Navier–Stokes equations without any modification and to obtain results comparable with simulations of incompressible viscous flow described by the incompressible Navier–Stokes equations, solved by the finite element method (FEM). We present numerical results for a flow in a simplified channel of the human vocal tract, for a flow around the airfoil NACA0012 and moreover for flow-induced airfoil vibrations. The results prove the robustness of the discontinuous Galerkin method with respect to the low Mach number.

  • 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

    10102 - Applied mathematics

Result continuities

  • 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

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Computers and Fluids

  • ISSN

    00457930

  • e-ISSN

    1879-0747

  • Volume of the periodical

    174

  • Issue of the periodical within the volume

    30 September 2018

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    12

  • Pages from-to

    167-178

  • UT code for WoS article

    000447099100012

  • EID of the result in the Scopus database

    2-s2.0-85050910013