A new repulsive model for solid boundary condition in smoothed particle hydrodynamics

Abstract

Compared with traditional mesh method the smoothed particle hydrodynamics (SPH) is unable to directly implement the solid boundary conditions, which hinders its further application to engineering. Therefore, a new repulsive model is deduced based on the Galerkin method of weighted residuals and traditional repulsive methods. Compared with traditional repulsive models, this model does not include unknown parameters; it can avoid fluid particles penetrating wall surface effectively without reducing the size of boundary particle, and also it avoids the oscillation of fluid particles around the boundary in speed and pressure. The new method is examined and compared with traditional methods using four numerical examples including static dam on a fixed boundary, a dam-break flow on a fixed boundary because of gravity, fluid still gradually in a tank because of gravity, dam-break. It is demonstrated that SPH with this new method overcomes the disadvantages in traditional methods, and that this method is an effective method for solid boundary condition.