The dynamics of the vertical structure of turbulence in flood flows

Georgiev, D. J. and Roberts, A. J. and Strunin, D. V. (2007) The dynamics of the vertical structure of turbulence in flood flows. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 48 (CTAC-2). C573-C590. ISSN 1446-1811


The flow of water in a tide, flood or tsunami is often turbulent. We model large scale, but shallow, turbulent flow using the well established κ-ω model of turbulence. Vertical turbulent mixing underlies the existence of a slow manifold model. As a first step, in this article the flow is assumed laterally homogeneous. Then constructing the slow manifold discovers the evolution of the average lateral velocity and average turbulent energy. We focus upon the influence on the mathematical analysis of key physical factors affecting the dynamics: turbulent mixing, energy production due to shear, volume energy dissipation and gravitational forcing on sloping ground. Further research will incorporate large scale lateral variations in the flow in order to predict tides, floods and tsunamis.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2007 Austral. Mathematical Soc. This publication is open access. It may be reproduced in whole or in part for the purposes of study, research, or review, but is subject to the inclusion of an acknowledgment of the source. Presented at: ANZIAM~J. In Proceedings of the 13th Biennial Computational Techniques and Applications Conference, CTAC-2006
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 11 Dec 2007 00:33
Last Modified: 18 Mar 2019 00:16
Uncontrolled Keywords: dynamical systems; centre manifold technique; k-omega turbulence model; computer algebra
Fields of Research : 09 Engineering > 0915 Interdisciplinary Engineering > 091508 Turbulent Flows
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
01 Mathematical Sciences > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.0000/anziamj.v48i0.124

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