Simulations of Hydraulic Jump Through SPH model

In the present work, the lagrangian mesh-free method Smoothed Particle Hydrodynamics (SPH) has been applied to simulate two-dimensional free-surface channel flows. For this purpose, a novel algorithm to enforce in/outflow boundary conditions has been developed. In order to assign different upstream and downstream flow conditions, two new sets of particles (in/outflow particles) have been introduced. These boundary particles affect the fluid particles but not vice versa. Each set of particles is associated to a different region of the computational domain: when a particle exits from its region, entering in another one, changes the set it belongs to. The model has been applied to a strongly dissipative hydrodynamic problem as the hydraulic jump. Different types of jumps, obtained varying Froude number, are investigated with particular reference to the location of the jump and the velocity field. The model has been validated comparing the numerical water depths with the theoretical ones.