Comparison of Finite Volume Method and Smoothed Particle Hydrodynamic in Modeling of Flow over Sharp-Crested Weir

This study presents a new hybrid algorithm for treating solid wall boundaries in the context of smoothed particle hydrodynamics (SPH) model. In this way, the basic concept is to fill an impervious region with some layers of dummy particles for improving the solution accuracy, and a single layer of repulsive particles to impose a no-penetration condition along the solid-fluid interface. The later consists of a new repulsion mechanism that, unlike the well-known Lennard-Jones model, induces no pressure oscillation close to the wall region. This hybrid boundary treatment technique is implemented in conjunction with a parameter-free smoothed particle hydrodynamics scheme to provide a Lagrangian solver for two dimensional Navier Stokes equations. The accuracy of the model is verified by recourse to challenging a numerical test defined for a free falling water jet from a sharp crested weir. The computed nappe profiles are compared with those of a finite volume method. Satisfactory agreement is found between all these results.