Smoothed particle hydrodynamics simulation of sound reflection and transmission

Abstract

Meshfree methods are widely used in computational acoustics to solve complicated domain topologies and multiphase systems. Smoothed particle hydrodynamics (SPH) is a Lagrangian meshfree method that offers the advantages of meshfree technology and Lagrangian property. The present work simulates the sound reflection and transmission of sound waves in multiple media in the time domain with the SPH method. First, acoustic wave equations in a quiescent fluid are represented in SPH form using particle approximation. A reflecting Dirichlet boundary condition is then built with the dummy particle technique. One-dimensional sound reflection and transmission are finally simulated with the meshfree SPH method, and the solutions are compared with theoretical results. The errors of sound pressure show that the SPH method is feasible in simulating the reflection and transmission of sound waves in the time domain. The boundary works well with plane waves. The change in sound speed obtained from the SPH simulation of acoustics in multiple media is consistent with the theoretical result.