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Note on the use of Camassa-Holm equations for simulation of incompressible fluid turbulence

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00471220" target="_blank" >RIV/67985840:_____/17:00471220 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.14311/TPFM.2017.009" target="_blank" >http://dx.doi.org/10.14311/TPFM.2017.009</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.14311/TPFM.2017.009" target="_blank" >10.14311/TPFM.2017.009</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Note on the use of Camassa-Holm equations for simulation of incompressible fluid turbulence

  • Original language description

    The aim of this short communication is to briefly introduce the Camassa-Holm equations as a working model for simulation of incompressible fluid turbulence. In particular we discuss its application for turbulent boundary layer flows. This model (and related models) is studied for several years in mathematical community, starting from Leray [23]. It can be understood as a generalization of some classical fluid models (Navier-Stokes equations, Prandtl boundary layer equations), showing some interesting mathematical properties in the analysis of the behavior of it's solution (e.g. Layton and Lewandowski [22]). It has been found however, that the model predictions can lead to surprising extensions of the use of the model in technical applications, namely in simulating the turbulent fluid flows. This brief paper should be understood as an introductory note to this novel class of models for applied scientists.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Topical Problems of Fluid Mechanics 2017

  • ISBN

    978-80-87012-61-1

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    59-64

  • Publisher name

    Institute of Thermomechanics AS CR, v.v

  • Place of publication

    Prague

  • Event location

    Prague

  • Event date

    Feb 15, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000404424300009