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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 Druh ASEP C - Konferenční příspěvek (mezinárodní konf.) Zařazení RIV D - Článek ve sborníku Název Note on the use of Camassa-Holm equations for simulation of incompressible fluid turbulence Tvůrce(i) Caggio, Matteo (MU-W) SAI, RID
Bodnár, Tomáš (MU-W) RID, SAI, ORCIDZdroj.dok. 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 Rozsah stran s. 59-64 Poč.str. 6 s. Forma vydání Tištěná - P Akce Topical Problems of Fluid Mechanics 2017 Datum konání 15.02.2017 - 17.02.2017 Místo konání Prague Země CZ - Česká republika Typ akce WRD Jazyk dok. eng - angličtina Země vyd. CZ - Česká republika Klíč. slova Camassa-Holm equations ; turbulent boundary layer Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA16-03230S GA ČR - Grantová agentura ČR Institucionální podpora MU-W - RVO:67985840 UT WOS 000404424300009 DOI 10.14311/TPFM.2017.009 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2018
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