Modelling turbulent flow from dam break using slow manifolds

Georgiev, D. J. and Roberts, A. J. and Strunin, D. V. (2009) Modelling turbulent flow from dam break using slow manifolds. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 50 (S). C1033-C1051. ISSN 1446-1811

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[Abstract]: We present a novel approach based on centre manifold technique to describe the dynamics of the mean turbulent velocity of dam-break flow. We avoid empirical assumptions about the cross-stream profile of the velocity; instead solution is obtained using free surface and bed boundary conditions that accommodate constant turbulent shear as a
nearly neutral mode. We describe the turbulent dynamics across the flow, and identify important factors affecting the turbulent dissipation in the lateral direction. The results are verified against available experimental data.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © Australian Mathematical Society 2009. Open access journal. This publication is copyright. 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. Author's version deposited in accordance with the copyright policy of the publisher.
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 25 Mar 2010 05:36
Last Modified: 21 Oct 2014 00:00
Uncontrolled Keywords: dam break, modelling, slow manifolds
Fields of Research : 05 Environmental Sciences > 0599 Other Environmental Sciences > 059999 Environmental Sciences not elsewhere classified
01 Mathematical Sciences > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified
01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences

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