Frewer, Michael (2009)
Proposal for an Invariant Nonlinear Eddy Viscosity Model based on a Consistent 4D Turbulence Modelling Approach.
In: Proceedings in Applied Mathematics and Mechanics (PAMM), 9 (1)
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
The aim of this new approach is to demonstrate that modelling on a 3D spatial manifold is not equivalent to modelling on a true 4D space-time manifold within Newtonian physics. In the framework of turbulence modelling it will be shown that by geometrically reformulating the averaged Navier-Stokes equations on a 4D non-Riemannian manifold without changing the physical content of the theory, additional modelling restrictions will naturally emerge which are absent in the usual Euclidean (3 + 1)D formulation. By proposing a non-linear eddy viscosity model within the k - ε family for high turbulent Reynolds numbers the new invariant modelling approach will demonstrate its clear superiority over current (3 + 1)D modelling techniques.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2009 |
| Autor(en): | Frewer, Michael |
| Art des Eintrags: | Bibliographie |
| Titel: | Proposal for an Invariant Nonlinear Eddy Viscosity Model based on a Consistent 4D Turbulence Modelling Approach |
| Sprache: | Englisch |
| Publikationsjahr: | 2009 |
| Verlag: | John Wiley and Sons |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Proceedings in Applied Mathematics and Mechanics (PAMM) |
| Jahrgang/Volume einer Zeitschrift: | 9 |
| (Heft-)Nummer: | 1 |
| URL / URN: | http://dx.doi.org/10.1002/pamm.200910197 |
| Kurzbeschreibung (Abstract): | The aim of this new approach is to demonstrate that modelling on a 3D spatial manifold is not equivalent to modelling on a true 4D space-time manifold within Newtonian physics. In the framework of turbulence modelling it will be shown that by geometrically reformulating the averaged Navier-Stokes equations on a 4D non-Riemannian manifold without changing the physical content of the theory, additional modelling restrictions will naturally emerge which are absent in the usual Euclidean (3 + 1)D formulation. By proposing a non-linear eddy viscosity model within the k - ε family for high turbulent Reynolds numbers the new invariant modelling approach will demonstrate its clear superiority over current (3 + 1)D modelling techniques. |
| Zusätzliche Informationen: | dio: 10.1002/pamm.200910197 |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) 16 Fachbereich Maschinenbau |
| Hinterlegungsdatum: | 24 Aug 2011 18:14 |
| Letzte Änderung: | 17 Feb 2014 08:46 |
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