Modelling the dynamics of turbulent floods
Date
2003
Authors
Mei, Z.
Roberts, A.
Li, Z.
Editors
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Type:
Journal article
Citation
SIAM Journal on Applied Mathematics, 2003; 63(2):423-458
Statement of Responsibility
A. J. Roberts, Z. Mei, and Zhenquan Li
Conference Name
Abstract
Consider the dynamics of turbulent flow in rivers, estuaries, and floods. Based on the widely used κ-ε model for turbulence, we use the techniques of center 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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©2002 Society for Industrial and Applied Mathematics