Mei, Z.Roberts, A.Li, Z.2009-09-182009-09-182003SIAM Journal on Applied Mathematics, 2003; 63(2):423-4580036-13991095-712Xhttp://hdl.handle.net/2440/50937©2002 Society for Industrial and Applied MathematicsConsider 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.enkeps turbulencewater wavesfloodscenter manifoldJournal article002009172810.1137/S00361399993588660001806405000032-s2.0-003878176738128Roberts, A. [0000-0001-8930-1552]