A hybrid solid boundary treatment algorithm for smoothed particle hydrodynamics

作者：Mahdavi A^*; Talebbeydokhti N

来源：Scientia Iranica, 2015, 22(4): 1457-1469.

• SPH
• Solid boundary condition
• Free surface flow
• Dam break
• Sharp-crested weir

This study presents a new hybrid algorithm for treating solid walls in the context of a weakly-compressible SPH model. 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 latter consists of a new repulsion mechanism that, unlike the well-known Lennard-Jones model, induces no pressure oscillation close to the wall. This hybrid boundary treatment technique is implemented in conjunction with a parameter-free SPH scheme to provide a Lagrangian solver for 2D Navier-Stokes equations. The accuracy of the model is verified 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 free falling water jet from a sharp-crested weir. Comparison with relevant numerical and/or experimental data from the literature shows fair agreement in each case.

• 出版日期2015-8