Simple absorbing boundary conditions for wave simulations with Smoothed Particle Hydrodynamics

We study and implement a simple method, based on the Perfectly Matched Layer approach, to treat non reflecting boundary conditions with the Smoothed Particles Hydrodynamics numerical algorithm. The method is based on the concept of physical damping. We illustrate how it works in the case of 1D and 2D time dependent waves propagating in a finite domain.