Numerical investigation towards the improvement of hydraulic-jump prediction in rectangular open-channels

Abstract

ABSTRACT This study probed into the numerical characterization of a rapidly varied free-surface flow behavior including a hydraulic jump onset. The extended One-Dimensional St.-Venant Equations, embedding the Boussinesq add-on term, were employed to describe a free-surface wave behavior. The numerical computations were based on a second-order precision in time and fourth-order in space explicit finite-difference scheme ((2/4)-dissipative numerical scheme). The computed results were then compared with those issued from the McCormack – based alternative solver and experimental data quoted in the literature. The findings revealed that the developed solver allowed an accurate prediction of the amplitude and location characteristics of the hydraulic jump. In addition, they suggested that the (2-4)-dissipative scheme-based algorithm was more practical than the alternative shock capturing methods in terms of prediction accuracy, implementation simplicity, and calculation time consumption. Unlike the McCormack scheme – based solver, the proposed algorithm provided numerical signals free of numerical oscillations in the vicinity of the steep gradient involved by hydraulic jumps. Yet, it required more computational time than the McCormack scheme – based alternative.