Simple absorbing boundary conditions for wave simulations with Smoothed Particle Hydrodynamics

TL;DR

This paper introduces a simple damping-based boundary condition method using Perfectly Matched Layers for wave simulations with Smoothed Particle Hydrodynamics, effectively reducing reflections in 1D and 2D cases.

Contribution

It presents a novel, straightforward implementation of absorbing boundary conditions for SPH wave simulations based on physical damping and PML concepts.

Findings

Effective non-reflecting boundary treatment demonstrated in 1D and 2D simulations.

The method simplifies boundary condition implementation in SPH.

Improved accuracy in wave propagation simulations near boundaries.

Abstract

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.