Equations for Turbulent Flood Waves

Z. MEI; A. J. ROBERTS

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arXiv · chao-dyn/9411014

Equations for Turbulent Flood Waves

Z. MEI·A. J. ROBERTS

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Abstract

Long waves in rivers, estuaries and floods are described by the St Venant and Boussinesq equations in classical fluid dynamics. Based on the widely used $k$-$ε$ model for turbulence, we use the techniques of centre manifold theory to show how these classical models can be derived from a unified approach to low-dimensional modelling. The model may be refined to an arbitrary degree of accuracy and predicts interesting interactions between the mean flow and the mean turbulence.

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Z. MEI, A. J. ROBERTS. 1994-11-14. Equations for Turbulent Flood Waves. https://arxiv.org/abs/chao-dyn/9411014

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