Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure

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)
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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