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A Depth Integrated Model for 3D Turbulence Flows Using Shallow Water Equations and Horizontal Vorticity Equations

Author(s): T. Uchida; S. Fukuoka

Linked Author(s): Shoji Fukuoka

Keywords: No Keywords

Abstract: There is a pressing need to check the safety degree of rivers, especially in channel confluence sections, in which several problems will be occurred during floods such as water level rising and bed scouring. A practical and reliable model for flows and bed variations in channel junctions are highly required. This study proposes a new methodology of computing velocity distributions on bed without the assumption of the hydrostatic pressure distribution in order to develop a bed variation model for complex flow fields such as flows around a channel confluence and hydraulic structures. First, we introduce depth-integrated momentum equations and a turbulence energy transport equation with terms of deviation component velocities from the depth averaged value by using a parabolic velocity distribution. Then, depthintegrated horizontal vorticity equations are derived to evaluate the deviation component velocities. The adequacy of the model is discussed through the comparisons with the experimental results for flows in a channel confluence.

DOI:

Year: 2009

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