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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA16-03230S" target="_blank" >GA16-03230S: Termodynamicky konzistentni modely pro proudění tekutin: matematická teorie a numerické řešení</a><br>

Návaznosti

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

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název statě ve sborníku

Topical Problems of Fluid Mechanics 2017

ISBN

978-80-87012-61-1

ISSN

—

e-ISSN

—

Počet stran výsledku

6

Strana od-do

59-64

Název nakladatele

Institute of Thermomechanics AS CR, v.v

Místo vydání

Prague

Místo konání akce

Prague

Datum konání akce

15. 2. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000404424300009