title: Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure creator: Roberts, A. J. subject: 291803 Turbulent Flows subject: 230113 Dynamical Systems description: [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. publisher: University of Southern Queensland date: 2008-03-16 type: Report type: NonPeerReviewed format: application/pdf identifier: http://eprints.usq.edu.au/4008/1/Roberts_Report_2008.pdf identifier: 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. (Unpublished) relation: http://eprints.usq.edu.au/4008/