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 non reflecting boundary conditions with the Smoothed Particles Hydrodynamics numerical algorithm. The method is based on the concept of physical damping operating on a fictitious layer added to the computational domain. The method works for both 1D and 2D cases, but here we illustrate it in the case of 1D and 2D time dependent shallow waves propagating in a finite domain.

► Non reflecting boundary condition in Lagrangian numerical methods is studied and implemented.
► The method is based on the concept of absorbing layer.
► We tested its validity and performance for shallow water and for real waves in pool.