A High-Velocity Impact Simulation using SPH-Projection Method

In this paper, a new smoothed particle hydrodynamics (SPH) algorithm for simulation of elastic-plastic deformation of solids was proposed. The key point was that materials under highvelocity impact (HVI) behave like fluids. This led to propose a method which was similar to the socalled SPH-projection method, in which the momentum equations are solved as the governing equations. The method consisted of three steps. In the first step, a temporary velocity field was provided according to the relevant body forces. This velocity field was renewed in the second step to include the viscosity effect. Unlike the standard SPH method for elastic-plastic simulations, a Poisson equation was employed in the third step as an alternative for the equation of state in order to evaluate pressure by projecting the provisional velocity. This Poisson equation considered a trade-off between density and pressure which was utilized in the third step to impose the incompressibility effect. To illustrate the accuracy of this method a HVI problem was simulated. Results showed a good agreement with other previous works.

Keywords:

Smoothed Particle Hydrodynamic (SPH) , High Velocity Impact (HVI) , projection method , Meshfree Method