Original title: Note on the use of Camassa-Holm equations for simulation of incompressible fluid turbulence
Authors: Caggio, Matteo ; Bodnár, Tomáš
Document type: Papers
Conference/Event: Topical Problems of Fluid Mechanics 2017, Prague (CZ), 20170215
Year: 2017
Language: eng
Abstract: 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.
Keywords: Camassa-Holm equations; turbulent boundary layer
Project no.: GA16-03230S (CEP)
Funding provider: GA ČR
Host item entry: Topical Problems of Fluid Mechanics 2017, ISBN 978-80-87012-61-1
Note: Související webová stránka: http://www.it.cas.cz/fm/im/im/proceeding/2017/9

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available on demand via the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0268628

Permalink: http://www.nusl.cz/ntk/nusl-263319


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