Simple absorbing layer conditions for shallow wave simulations with Smoothed Particle Hydrodynamics

We study and implement a simple method, based on the Perfectly Matched Layer approach, to treat nonreflecting boundary conditions with the Smoothed Particles Hydrodynamics numerical algorithm. Themethod is based on the concept of physical damping operating on a fictitious layer added to thecomputational domain. The method works for both 1D and 2D cases, but here we illustrate it in the caseof 1D and 2D time dependent shallow waves propagating in a finite domain.