Roberts, A. J. (2008) Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure. Technical Report. University of Southern Queensland , Toowoomba, Australia. [Report]
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Abstract
[Abstract]: Consider the turbulent flow of a layer of fluid. The Smagorinski closure for turbulence, with its linear dependence of eddy viscosity upon the shear-rate, models turbulent dissipation. A slow manifold model of the dynamics of the fluid layer allows for large changes in layer thickness provided the changes occur over a large enough lateral length scale. The slow manifold is based on two macroscopic modes by modifying the spectrum: here artificially modify the boundary conditions on the free surface so that, as well as a mode representing conservation of fluid, a lateral shear flow with slip is a neutral critical mode. Then remove the modification to recover a model for turbulent floods.
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Item Type: | Report (Technical Report) |
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Item Status: | Live Archive |
Additional Information: | USQ publication. |
Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |
Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |
Date Deposited: | 18 Mar 2008 04:39 |
Last Modified: | 02 Jul 2013 23:00 |
Uncontrolled Keywords: | computer algebra; turbulent floods; Smagorinski closure |
Fields of Research (2008): | 01 Mathematical Sciences > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems 09 Engineering > 0915 Interdisciplinary Engineering > 091508 Turbulent Flows |
Fields of Research (2020): | 49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490409 Ordinary differential equations, difference equations and dynamical systems 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401213 Turbulent flows |
URI: | http://eprints.usq.edu.au/id/eprint/4008 |
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