Author(s): Efstathios Chatzoglou; Antonios Liakopoulos

Linked Author(s):

Keywords: Smoothed Particle Hydrodynamics; Free surface flow; Hydraulic jump; Particle Shifting

Abstract: Smoothed Particle Hydrodynamics (SPH) has emerged as a viable alternative to conventional computational methods for the solution of the partial differential equations of continuum mechanics. For problems with large deformations (in fluid and solid mechanics), SPH exhibits clear advantages over conventional methods. Furthermore, technological progress in computer architecture (parallel computing, GPU, etc.) helped to increase the speed of numerical simulations. SPH is a mesh-free method in which the information associated with a partial differential equation is related (with the SPH discretization) to “particles” (point masses). The meshless nature of Smoothed Particle Hydrodynamics can be exceptionally beneficial in cases where mesh-based methods face complexities or demand vast computational time. In this paper we investigate the application of a state-of-the-art version of SPH to simulation of hydraulic jumps that are formed under various conditions. We investigate via the DualSPHysics code the performance of SPH on predicting the hydraulic jump characteristics such as jump’s length, turbulence, mean velocity profiles at different longitudinal positions, streamlines, Turbulent Kinetic Energy (TKE) and energy loss. Simulations are reported for various geometries, inlet/outlet conditions and a range of Froude numbers. To verify the accuracy of the simulations as well as to identify the strengths/weaknesses of the SPH method, computed results are analyzed and compared with analytical solutions (if available) or other numerical/experimental studies for similar cases reported in the scientific literature.

DOI: https://doi.org/10.3850/IAHR-39WC2521711920221463

Year: 2022