Numerical Simulation of Hydraulic Jump with the Inclusion of Boussinesq Term

Abstract

To design a hydraulic structure such as gravity dam, it is crucial to predict the. Location and the length of the hydraulic jump. Numerical model comes in handy to deal with the conditions which are costly to reproduce the laboratories such as the hydraulic jump experiment. In this study, two models (Saint-Venant model and Boussinesq model) are solved numerically to simulate the formation of hydraulic jump in a flat rectangular channel. The performance of the models in reproducing the flow profile of hydraulic jump and its location, under different advection solvers, i.e. the CIP, MUSCL, and upwind scheme are investigated. Numerical results showed that the inclusion of Boussinesq term does not have significant effect on the numerical reproduction of the hydraulic jump in terms of the location and the water surface gradient at the hydraulic jump. Numerical solutions show that the accuracy of the advection term solver and its shock-capturing capability is critical for accurate simulation of hydraulic jump.