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|Title:||Model turbulent floods with the Smagorinski large eddy closure|
|Author:||Roberts, Anthony John|
Georgiev, Dian J.
Strunin, Dmitry V.
|School/Discipline:||School of Mathematical Sciences|
|A. J. Roberts, D. J. Georgiev and D. V. Strunin|
|Abstract:||Floods, tides and tsunamis are turbulent, yet conventional models are based upon depth averaging inviscid irrotational flow equations. We propose to change the base of such modelling to the Smagorinksi large eddy closure for turbulence in order to appropriately match the underlying fluid dynamics. Our approach allows for large changes in fluid depth to cater for extreme inundations. The key to the analysis underlying the approach is to choose surface and bed boundary conditions that accommodate a constant turbulent shear as a nearly neutral mode. Analysis supported by slow manifold theory then constructs a model for the coupled dynamics of the fluid depth and the mean turbulent lateral velocity. The model resolves the internal turbulent shear in the flow and thus may be used in further work to rationally predict erosion and transport in turbulent floods.|
|Keywords:||turbulent flood; tsunami; Smagorinski closure;shallow water equations|
|Description:||Submitted to Cornell University’s online archive www.arXiv.org in 2008 by Tony Roberts. Post-print sourced from www.arxiv.org.|
|Appears in Collections:||Mathematical Sciences publications|
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