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 (June 27-July 2, 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: | June 27-July 2, 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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