SPH numerical investigation of the characteristics of an oscillating hydraulic jump at an abrupt drop

• Published in: Journal of hydrodynamics. Series B 2018-02, Vol.30 (1), p.106-113
• Main Authors: De Padova, Diana, Mossa, Michele, Sibilla, Stefano
• Format: Article
• Language: English
• Subjects: A-man Zhang; Can Huang; Engineering; Engineering Fluid Dynamics; Hydrology/Water Resources; Numerical and Computational Physics; Simulation; Special Column on SPHERIC2017 (Guest Editors Mou-bin Liu; 物理特征; SPH; 水力; 流动模式; 数字模型; 水动力学; 混合长度; 流动条件
• ISSN: 1001-6058; 1878-0342
• DOI: 10.1007/s42241-018-0011-z

This paper shows the results of the smooth particle hydrodynamics（SPH） modelling of the hydraulic jump at an abrupt drop,where the transition from supercritical to subcritical flow is characterised by several flow patterns depending upon the inflow and tailwater conditions. SPH simulations are obtained by a pseudo-compressible XSPH scheme with pressure smoothing; turbulent stresses are represented either by an algebraic mixing-length model, or by a two-equation k-ε model. The numerical model is applied to analyse the occurrence of oscillatory flow conditions between two different jump types characterised by quasi-periodic oscillation,and the results are compared with experiments performed at the hydraulics laboratory of Bari Technical University. The purpose of this paper is to obtain a deeper understanding of the physical features of a flow which is in general difficult to be reproduced numerically,owing to its unstable character： in particular, vorticity and turbulent kinetic energy fields, velocity, water depth and pressure spectra downstream of the jump, and velocity and pressure cross-correlations can be computed and analysed.