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Abstract: Floods, tides and tsunamis are turbulent, yet conventional models are basedupon depth averaging inviscid irrotational flow equations. We propose to changethe base of such modelling to the Smagorinksi large eddy closure for turbulencein order to appropriately match the underlying fluid dynamics. Our approachallows for large changes in fluid depth to cater for extreme inundations. Thekey to the analysis underlying the approach is to choose surface and bedboundary conditions that accommodate a constant turbulent shear as a nearlyneutral mode. Analysis supported by slow manifold theory then constructs amodel for the coupled dynamics of the fluid depth and the mean turbulentlateral velocity. The model resolves the internal turbulent shear in the flowand thus may be used in further work to rationally predict erosion andtransport in turbulent floods.



Autor: A. J. Roberts, D. J. Georgiev, D. V. Strunin

Fuente: https://arxiv.org/







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