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Note on the use of Camassa-Holm equations for simulation of incompressible fluid turbulence
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SYSNO ASEP 0471220 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Note on the use of Camassa-Holm equations for simulation of incompressible fluid turbulence Author(s) Caggio, Matteo (MU-W) SAI, RID
Bodnár, Tomáš (MU-W) RID, SAI, ORCIDSource Title Topical Problems of Fluid Mechanics 2017. - Prague : Institute of Thermomechanics AS CR, v. v. i., 2017 / Šimurda D. ; Bodnár T. - ISBN 978-80-87012-61-1 Pages s. 59-64 Number of pages 6 s. Publication form Print - P Action Topical Problems of Fluid Mechanics 2017 Event date 15.02.2017 - 17.02.2017 VEvent location Prague Country CZ - Czech Republic Event type WRD Language eng - English Country CZ - Czech Republic Keywords Camassa-Holm equations ; turbulent boundary layer Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA16-03230S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000404424300009 DOI 10.14311/TPFM.2017.009 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2018
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