The dynamics of the vertical structure of turbulence in flood flows
Article
Article Title | The dynamics of the vertical structure of turbulence in flood flows |
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ERA Journal ID | 43 |
Article Category | Article |
Authors | Georgiev, D. J. (Author), Roberts, A. J. (Author) and Strunin, D. V. (Author) |
Journal Title | Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal |
Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal | |
Journal Citation | 48, pp. C573-C590 |
Number of Pages | 18 |
Year | 2007 |
Place of Publication | Australia |
ISSN | 1446-1811 |
1446-8735 | |
Digital Object Identifier (DOI) | https://doi.org/10.0000/anziamj.v48i0.124 |
Abstract | 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. |
Keywords | dynamical systems; centre manifold technique; k-omega turbulence model; computer algebra |
ANZSRC Field of Research 2020 | 401213. Turbulent flows |
401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) | |
490409. Ordinary differential equations, difference equations and dynamical systems | |
Public Notes | © 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. |
Byline Affiliations | Computational Engineering and Science Research Centre |
Department of Mathematics and Computing |
https://research.usq.edu.au/item/9y85y/the-dynamics-of-the-vertical-structure-of-turbulence-in-flood-flows
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