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

0471220 - MÚ 2018 RIV CZ eng C - Conference Paper (international conference)
Caggio, Matteo - Bodnár, Tomáš
Note on the use of Camassa-Holm equations for simulation of incompressible fluid turbulence.
Topical Problems of Fluid Mechanics 2017. Prague: Institute of Thermomechanics AS CR, v. v. i., 2017 - (Šimurda, D.; Bodnár, T.), s. 59-64. ISBN 978-80-87012-61-1.
[Topical Problems of Fluid Mechanics 2017. Prague (CZ), 15.02.2017-17.02.2017]
R&D Projects: GA ČR GA16-03230S
Institutional support: RVO:67985840
Keywords : Camassa-Holm equations * turbulent boundary layer
OECD category: Pure mathematics
http://www.it.cas.cz/fm/im/im/proceeding/2017/9

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.
Permanent Link: http://hdl.handle.net/11104/0268628