Modelling the dynamics of turbulent floods

Mei, Z. and Roberts, A. J. and Li, Zhenquan (2002) Modelling the dynamics of turbulent floods. SIAM Journal on Applied Mathematics, 63 (2). pp. 423-458. ISSN 0036-1399

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Abstract

Consider the dynamics of turbulent flow in rivers, estuaries and floods. Based on the widely used k-epsilon model for turbulence, we use the techniques of centre manifold theory to derive dynamical models for the evolution of the water depth and of vertically averaged flow velocity and turbulent parameters. This new model for the shallow water dynamics of turbulent flow: resolves the vertical structure of the flow and the turbulence; includes interaction between turbulence and long waves; and gives a rational alternative to classical models for turbulent environmental flows.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Awaiting Author's version. Deposited in accordance with the copyright policy of the publisher.
Depositing User: epEditor USQ
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 11 Oct 2007 01:18
Last Modified: 31 Oct 2013 04:04
Uncontrolled Keywords: keps turbulence; water waves; floods; center manifold; hydrodynamics
Fields of Research (FOR2008): 09 Engineering > 0907 Environmental Engineering > 090702 Environmental Engineering Modelling
09 Engineering > 0915 Interdisciplinary Engineering > 091508 Turbulent Flows
01 Mathematical Sciences > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
Socio-Economic Objective (SEO2008): D Environment > 96 Environment > 9611 Physical and Chemical Conditions of Water > 961103 Physical and Chemical Conditions of Water in Fresh, Ground and Surface Water Environments (excl. Urban and Industrial Use)
Identification Number or DOI: doi: 10.1137/S0036139999358866
URI: http://eprints.usq.edu.au/id/eprint/2987

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