Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model

Georgiev, Dian J. and Roberts, A. J. and Strunin, Dmitry V. (2007) Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model. Discrete and Continuous Dynamical Systems Series A, 2007 (Specia). pp. 419-428. ISSN 1078-0947

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Abstract

In shallow turbulent flows such as floods and tsunami vertical mixing tends to smooth out the flow characteristics in cross-sectional direction. The evolution of the average cross-flow characteristics presents considerable interest. We model such flows using the k-omega model of turbulence in the framework of the centre manifold theory. We tested the approach on an artificial diffusion problem for which an exact analytical solution is derived. Then we apply the method to model the turbulent flows and deduced the evolution equations for the average velocity, turbulent energy and its rate of dissipation.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: This is the Authors' version of the paper. Note that paper is also available from the publisher website above, and the pagination on that version of the paper should be used. Also available in print as: Dynamical Systems and Differential Equations. Proceedings of the 6th AIMS International Conference ( Poitiers, France), DCDS Supplement 2007 Edited by Boris Belinskiy, Kunquan Lan, Xin Lu, Alain Miranville and R. Shivaji. ISBN-13: 978-1-60133-010-9.
Depositing User: Dr Dian Georgiev
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 12 Dec 2007 08:24
Last Modified: 02 Jul 2013 22:55
Uncontrolled Keywords: dynamical systems, centre manifold, k-omega turbulent model
Fields of Research (FOR2008): 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
01 Mathematical Sciences > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
URI: http://eprints.usq.edu.au/id/eprint/3644

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