Modeling turbulent flow from dam break using slow manifolds

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

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Official URL: http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/viewFile/1466/1264

Abstract

[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.

Item Type:Article (Commonwealth Reporting Category C)
Additional Information:Author's version deposited in accordance with the copyright policy of the publisher.
Uncontrolled Keywords:dam break, modelling, slow manifolds
Fields of Research (FOR2008):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
Subjects:230000 Mathematical Sciences > 239900 Other Mathematical Sciences
230000 Mathematical Sciences > 230100 Mathematics > 230113 Dynamical Systems
Socio-Economic Objective (SEO2008):E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
ID Code:6190
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Deposited On:25 Mar 2010 15:36
Last Modified:21 Dec 2011 15:08

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