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Analysis of Flows in Undular and Breaking Hydraulic Jumps by Non-Hydrostatic Quasi Three-Dimensional Model Considering Flow Equations on Boundary Surfaces (Q3D-FEBS)

Author(s): Yoshiharu Takemura, Shoji Fukuoka

Linked Author(s): Shoji Fukuoka

Keywords: Undular jump; Breaking jump; Non-hydrostatic pressure; Depth-integral model; Q3D-FEBS;

Abstract: The flow structure and the energy dissipation rate are greatly different between an undular jump and a breaking jump. A depth-integral model that can calculate both undular and breaking jumps is required for the design of hydraulic structures in rivers. This paper proposes a new non-hydrostatic quasi three-dimensional model (Q3D-FEBS) that introduces the flow equations on boundary surfaces (a free surface and a bottom surface). Calculation results of Q3D-FEBS well explain water surface profiles and velocity distributions of the previous experiments of undular and breaking jumps. In addition, based on a numerical experiment, it is shown that Q3D-FEBS can calculate the transitional process from an undular jump to a breaking jump by analyzing the flow separation at the water surface using the flow equations on boundary surfaces.

DOI: https://doi.org/10.3850/38WC092019-0685

Year: 2019

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