Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure
Technical report
Roberts, A. J.. 2008. Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure. Toowoomba, Australia. University of Southern Queensland.
| Title | Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure |
|---|---|
| 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 |
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