用Smagorinski大涡闭合模拟湍流洪水
Model turbulent floods with the Smagorinski large eddy closure
摘要：
洪水、潮汐和海啸都是湍流，而传统的模型是基于深度平均的无粘无旋流方程。我们建议改变这种建模的基础Smagorinksi大涡封闭湍流，以适当地匹配底层的流体动力学。我们的方法允许流体深度的大变化，以满足极端的洪水。该方法分析的关键是选择表面和床面边界条件，以适应恒定的湍流剪切作为近中性模式。分析支持慢流形理论，然后构建一个模型的流体深度和平均湍流横向速度的耦合动力学。该模型解决了内部湍流剪切流，从而可以用于进一步的工作，合理地预测湍流洪水的侵蚀和运输。
英文摘要：
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.
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