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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), John Wiley and Sons, pp. 449-450, 9, (1), ISSN 1617-7061,
[Online-Edition: http://dx.doi.org/10.1002/pamm.200910197],
[Article]

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.

Item Type: Article
Erschienen: 2009
Creators: Frewer, Michael
Title: Proposal for an Invariant Nonlinear Eddy Viscosity Model based on a Consistent 4D Turbulence Modelling Approach
Language: English
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.

Journal or Publication Title: Proceedings in Applied Mathematics and Mechanics (PAMM)
Volume: 9
Number: 1
Publisher: John Wiley and Sons
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Date Deposited: 24 Aug 2011 18:14
Official URL: http://dx.doi.org/10.1002/pamm.200910197
Additional Information:

dio: 10.1002/pamm.200910197

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