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Proposal for an Invariant Nonlinear Eddy Viscosity Model based on a Consistent 4D Turbulence Modelling Approach

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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