Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure
Technical report
Title | Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure |
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Report Type | Technical report |
Authors | |
Author | Roberts, A. J. |
Institution of Origin | University of Southern Queensland |
Number of Pages | 19 |
Year | 2008 |
Publisher | University of Southern Queensland |
Place of Publication | Toowoomba, Australia |
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. |
Keywords | computer algebra; turbulent floods; Smagorinski closure |
ANZSRC Field of Research 2020 | 490409. Ordinary differential equations, difference equations and dynamical systems |
401213. Turbulent flows | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | Computational Engineering and Science Research Centre |
https://research.usq.edu.au/item/9yq2q/computer-algebra-describes-flow-of-turbulent-floods-via-the-smagorinski-large-eddy-closure
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