Modelling the dynamics of turbulent floods

Details Modelling the dynamics of turbulent floods Modelling the dynamics of turbulent floods

1999-06-25

arxiv.org/abs/patt-sol/9907001v1

Nonlinear Sciences

Pattern Formation and Solitons

30 pages, LaTeX with hyperref

Scientific paper

Consider the dynamics of turbulent flow in rivers, estuaries and floods. Based on the widely used k-epsilon model for turbulence, we use the techniques of centre manifold theory to derive dynamical models for the evolution of the water depth and of vertically averaged flow velocity and turbulent parameters. This new model for the shallow water dynamics of turbulent flow: resolves the vertical structure of the flow and the turbulence; includes interaction between turbulence and long waves; and gives a rational alternative to classical models for turbulent environmental flows.

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