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New Turbulent scaling laws arising from new statistical symmetries of the multi-point equations

Rosteck, Andreas ; Oberlack, Martin ; Khujadze, George (2010)
New Turbulent scaling laws arising from new statistical symmetries of the multi-point equations.
Proceedings of the 16th US National Congress of Theoretical and Applied Mechanics - USNCTAM2010. State College, PA, USA (27.06.2010-02.07.2010)
Konferenzveröffentlichung, Bibliographie

Kurzbeschreibung (Abstract)

Investigating the multi-point correlation (MPC) equations for the velocity and pressure fluctuations two new kinds of fundamental symmetries have been discovered. One of these symmetries was first observed for parallel wall-bounded shear flows in Khujadze and Oberlack (2004) though there this property only holds true for the two-point equation. Presently using this extended set of Lie symmetry groups a much wider class of invariant solutions or turbulent scaling laws can be derived for plane wall-bounded shear flow and decaying turbulence only employing first principles. In fact, the two presented applications can only be conceived from MPC equations using the new symmetries.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2010
Autor(en): Rosteck, Andreas ; Oberlack, Martin ; Khujadze, George
Art des Eintrags: Bibliographie
Titel: New Turbulent scaling laws arising from new statistical symmetries of the multi-point equations
Sprache: Englisch
Publikationsjahr: 2010
Veranstaltungstitel: Proceedings of the 16th US National Congress of Theoretical and Applied Mechanics - USNCTAM2010
Veranstaltungsort: State College, PA, USA
Veranstaltungsdatum: 27.06.2010-02.07.2010
Kurzbeschreibung (Abstract):

Investigating the multi-point correlation (MPC) equations for the velocity and pressure fluctuations two new kinds of fundamental symmetries have been discovered. One of these symmetries was first observed for parallel wall-bounded shear flows in Khujadze and Oberlack (2004) though there this property only holds true for the two-point equation. Presently using this extended set of Lie symmetry groups a much wider class of invariant solutions or turbulent scaling laws can be derived for plane wall-bounded shear flow and decaying turbulence only employing first principles. In fact, the two presented applications can only be conceived from MPC equations using the new symmetries.

ID-Nummer: USNCTAM2010-803
Fachbereich(e)/-gebiet(e): 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy)
16 Fachbereich Maschinenbau
Hinterlegungsdatum: 02 Sep 2011 13:07
Letzte Änderung: 17 Feb 2014 08:46
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