A hybrid solid boundary treatment algorithm for smoothed particle hydrodynamics

This study presents a new hybrid algorithm for treating solid walls in thecontext of a weakly-compressible sph model. the basic concept is to ll an imperviousregion with some layers of dummy particles for improving the solution accuracy, and asingle layer of repulsive particles to impose a no-penetration condition along the solid-uid interface. the latter consists of a new repulsion mechanism that, unlike the wellknownlennard-jones model, induces no pressure oscillation close to the wall. this hybridboundary treatment technique is implemented in conjunction with a parameter-free sphscheme to provide a lagrangian solver for 2d navier-stokes equations. the accuracy ofthe model is veried by recourse to challenging numerical tests in free surface hydraulics,including a dam break surging over a dry bed, with and without obstacles, as well as a freefalling water jet from a sharp-crested weir. comparison with relevant numerical and/orexperimental data from the literature shows fair agreement in each case.